SSC CGL Tier I 2024 – 25 Sep, Shift 1 Question Paper with Answers
SSC CGL 2024 Tier I, held on 25 September 2024, Shift 1 (9:00 AM – 10:00 AM). 87 questions in SSC's order across Reasoning, General Awareness, Quantitative Aptitude and English. Try each question first, then open “Answer and explanation”.
Questions and answers from SSC's official answer key (ssc.gov.in), as marked in SSC's provisional key for this shift. Explanations are by NextGenPSC. 13 figure-based questions are not reproduced because the official figure is not available.
Attempt this shift as a free mock (60 min)General Intelligence and Reasoning
- Question 1: Figure-based question; not reproduced here.
Question 2 · Reasoning · Analogies
Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.
4 : 68 :: 8 : 136 :: 9 : ?
(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting /multiplying etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)- (a) 153
- (b) 147
- (c) 149
- (d) 152
Answer and explanation
Answer: (a) 153
4 × 17 = 68 and 8 × 17 = 136, so each number is multiplied by 17.
9 × 17 = 153.
Answer: 153
- Question 3: Figure-based question; not reproduced here.
Question 4 · Reasoning · Sequences
Select the number from among the given options that can replace the question mark (?) in the following series.
35, 46, 68, 101, 145, ?- (a) 214
- (b) 210
- (c) 200
- (d) 212
Answer and explanation
Answer: (c) 200
Differences: 46 − 35 = 11, 68 − 46 = 22, 101 − 68 = 33, 145 − 101 = 44 — multiples of 11.
Next difference is 55: 145 + 55 = 200.
Answer: 200
Question 5 · Reasoning · Sequences
Select the option that represents the letters that when sequentially placed from left to right in the blanks below will complete the letter series.
Z _ A _ Z _ _ Z A _ Z _- (a) AZZAZZ
- (b) ZZAZZA
- (c) ZZZAAA
- (d) AZAZAZ
Answer and explanation
Answer: (b) ZZAZZA
The series is the block “ZZA” repeated four times: ZZA ZZA ZZA ZZA.
The blanks are therefore Z, Z, A, Z, Z, A.
Answer: ZZAZZA
- Question 6: Figure-based question; not reproduced here.
Question 7 · Reasoning · Logical inference
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some vegetables are fruits.
Some fruits are flowers.
All flowers are garlands.
Conclusions:
I. Some garlands are fruits.
II. Some vegetables are flowers.
III. Some vegetables are garlands.- (a) Only conclusion I follows
- (b) Only conclusions II and III follow
- (c) Only conclusions I and II follow
- (d) Only conclusions I and III follow
Answer and explanation
Answer: (a) Only conclusion I follows
“Some fruits are flowers” and “All flowers are garlands” together give: some fruits are garlands, i.e. some garlands are fruits — conclusion I follows.
Vegetables are linked only to fruits, and only partly, so nothing definite can be said about vegetables and flowers or garlands — II and III do not follow.
Answer: Only conclusion I follows
Question 8 · Reasoning · Relationships and ordering
All the six members of a family, 1, 2, 3, 4, 5 and 6, live together. 2 is the daughter of 3, but 3 is not the mother of 2. 1 and 3 are a married couple. 5 is the sister of 3. 4 is the daughter of 1. 6 is the brother of 2. Who is the mother of 2?
- (a) 4
- (b) 1
- (c) 2
- (d) 5
Answer and explanation
Answer: (b) 1
2 is the daughter of 3, but 3 is not her mother, so 3 is her father.
1 and 3 are a married couple, so 1 is the mother of 2.
Answer: 1
Question 9 · Reasoning · Classification
Four letter-clusters have been given, out of which three are alike in some manner and one is different. Select the one that is different.
Note : The odd one out is not based on the number of consonants/vowels or their position in the letter cluster.- (a) WVTS
- (b) SQPN
- (c) YWVT
- (d) NLKI
Answer and explanation
Answer: (a) WVTS
SQPN, YWVT and NLKI all follow the steps −2, −1, −2 (e.g. S−2=Q, Q−1=P, P−2=N).
WVTS follows −1, −2, −1, so it is the odd one.
Answer: WVTS
Question 10 · Reasoning · Analogies
11 is related to 121 following a certain logic. Following the same logic, 22 is related to 484. To which of the following is 31 related, following the same logic?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)- (a) 943
- (b) 973
- (c) 957
- (d) 961
Answer and explanation
Answer: (d) 961
121 = 11² and 484 = 22², so each number is squared.
31² = 961.
Answer: 961
- Question 11: Figure-based question; not reproduced here.
Question 12 · Reasoning · Sequences
Select the term from among the given options that can replace the question mark (?) in the given series.
HM71, JP68, LS65, NV62, ?- (a) PY59
- (b) QY57
- (c) QX58
- (d) RX59
Answer and explanation
Answer: (a) PY59
First letters: H, J, L, N → +2 each, so P. Second letters: M, P, S, V → +3 each, so Y.
Numbers: 71, 68, 65, 62 → −3 each, so 59. The term is PY59.
Answer: PY59
Question 13 · Reasoning · Analogies
Select the set in which the numbers are related in the same way as are the numbers of the following set.
(24, 15, 120)
(21, 19, 133)
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/deleting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)- (a) (18, 16, 99)
- (b) (33, 10, 170)
- (c) (31, 9, 96)
- (d) (27, 12, 108)
Answer and explanation
Answer: (d) (27, 12, 108)
(24 × 15) ÷ 3 = 120 and (21 × 19) ÷ 3 = 133: third number = product of the first two ÷ 3.
(27 × 12) ÷ 3 = 324 ÷ 3 = 108, so (27, 12, 108) follows the same rule.
Answer: (27, 12, 108)
- Question 14: Figure-based question; not reproduced here.
- Question 15: Figure-based question; not reproduced here.
- Question 16: Figure-based question; not reproduced here.
Question 17 · Reasoning · Sequences
Which letter-cluster will replace the question mark (?) to complete the given series?
CQJG, ERMJ, ?, ITSP, KUVS- (a) GRPM
- (b) GSQM
- (c) GTPM
- (d) GSPM
Answer and explanation
Answer: (d) GSPM
Take the letters position-wise. 1st: C, E, ?, I, K (+2) → G. 2nd: Q, R, ?, T, U (+1) → S.
3rd: J, M, ?, S, V (+3) → P. 4th: G, J, ?, P, S (+3) → M. The missing cluster is GSPM.
Answer: GSPM
Question 18 · Reasoning · Sequences
The position of how many letters will change if each of the letters in the word ‘CORNFLAKES’ is re-arranged in the English alphabetical order from left to right?
- (a) Ten
- (b) Seven
- (c) Nine
- (d) Eight
Answer and explanation
Answer: (d) Eight
CORNFLAKES in alphabetical order is A C E F K L N O R S.
Comparing with C O R N F L A K E S position by position, only L (6th) and S (10th) stay in place, so 8 letters change position.
Answer: Eight
Question 19 · Reasoning · Symbolic calculations
Select the correct combination of mathematical signs to sequentially place from left to right in the blanks below to balance the given equation.
75 _ 3 _ 17 _ 8 = 0- (a) −, −, +
- (b) ÷, −, −
- (c) ×, +, −
- (d) −, −, ×
Answer and explanation
Answer: (b) ÷, −, −
With ÷, −, −: 75 ÷ 3 − 17 − 8 = 25 − 17 − 8 = 0.
Answer: ÷, −, −
Question 20 · Reasoning · Symbolic calculations
Which number will come in the place of the question mark (?) in the following equation if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?
27 × 3 + 4 ÷ 2 − 7 = ?- (a) 8
- (b) 10
- (c) 6
- (d) 9
Answer and explanation
Answer: (a) 8
After interchanging, the expression becomes 27 ÷ 3 − 4 × 2 + 7.
= 9 − 8 + 7 = 8.
Answer: 8
Question 21 · Reasoning · Coding and decoding
In a certain code language, 'EXCESS' is written as '726572121', 'ENERGY' is written as '716720927', how will 'ESCAPE' be written in that language?
- (a) 72153165
- (b) 72151167
- (c) 72153187
- (d) 71933187
Answer and explanation
Answer: (c) 72153187
Each letter is replaced by its alphabet position + 2: E(5)→7, X(24)→26, C(3)→5, S(19)→21, giving 7-26-5-7-21-21.
ESCAPE: E→7, S→21, C→5, A→3, P→18, E→7, i.e. 72153187.
Answer: 72153187
Question 22 · Reasoning · Analogies
Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and the fourth letter-cluster is related to the third letter-cluster.
CRW: TIN :: DOZ: UFQ :: ALW:?- (a) RCN
- (b) JCN
- (c) RCM
- (d) JCM
Answer and explanation
Answer: (a) RCN
Each letter moves 17 places forward (wrapping after Z): C→T, R→I, W→N and D→U, O→F, Z→Q.
A→R, L→C, W→N, so ALW → RCN.
Answer: RCN
Question 23 · Reasoning · Coding and decoding
In a certain code language, ‘EAGLE’ is written as ‘DZFKD’ and ‘DREAM’ is written as ‘CQDZL’. How will ‘SINCE’ be written in that language?
- (a) THMDF
- (b) RJOBD
- (c) TJODF
- (d) RHMBD
Answer and explanation
Answer: (d) RHMBD
Each letter is replaced by the previous letter: E→D, A→Z, G→F, L→K, E→D.
SINCE → R, H, M, B, D = RHMBD.
Answer: RHMBD
Question 24 · Reasoning · Classification
The question contains pairs of words that are related to each other in a certain way. Three of the following four word pairs are alike as these have the same relationship and thus form a group. Which word pair is the one that DOES NOT belong to that group?
(The words must be considered as meaningful English words and must not be related to each other based on the number of letters / number of consonants/vowels in the word.)- (a) Book – pages
- (b) Flowers – petals
- (c) Spectacles – lens
- (d) Shoes – feet
Answer and explanation
Answer: (d) Shoes – feet
A book has pages, flowers have petals and spectacles have lenses — the second is a part of the first.
Feet are not a part of shoes (shoes are worn on the feet), so “Shoes – feet” does not belong.
Answer: Shoes – feet
Question 25 · Reasoning · Classification
The same operation(s) are followed in all the given number pairs except one. Find that odd number pair.
(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting /multiplying etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)- (a) 22 : 45
- (b) 7 : 15
- (c) 11 : 121
- (d) 5 : 11
Answer and explanation
Answer: (c) 11 : 121
In 22 : 45, 7 : 15 and 5 : 11 the second number is 2 × first + 1.
11 : 121 is 11², not 2 × 11 + 1 = 23, so it is the odd pair.
Answer: 11 : 121
General Awareness
Question 26 · General Awareness · Culture
Ishwari Prasad is credited to have introduced the ________ Gharana of Kathak.
- (a) Banaras
- (b) Raigarh
- (c) Lucknow
- (d) Jaipur
Answer and explanation
Answer: (c) Lucknow
Ishwari Prasad of Handia (near Allahabad) is traditionally regarded as the founder of the Lucknow Gharana of Kathak, which later flourished at the court of the Nawabs of Awadh.
Answer: Lucknow
Question 27 · General Awareness · History
In 1910, The United India House at Seattle, USA, was set up by ___________.
- (a) Tarak Nath Das and GD Kumar
- (b) VD Savarkar and Ganesh
- (c) Khudiram Bose and Prafulla Chaki
- (d) Shyamji Krishna Varma
Answer and explanation
Answer: (a) Tarak Nath Das and GD Kumar
The United India House in Seattle (1910) was started by the revolutionaries Tarak Nath Das and G. D. Kumar to organise Indian workers and students on the US West Coast — a forerunner of the Ghadar movement.
Answer: Tarak Nath Das and GD Kumar
Question 28 · General Awareness · Everyday science
An organic reaction used to convert an aryl diazonium salt into an aryl halide using a copper(I) halide catalyst is called:
- (a) Sandmeyer reaction
- (b) Finkelstein reaction
- (c) Gattermann reaction
- (d) Balz-Schiemann reaction
Answer and explanation
Answer: (a) Sandmeyer reaction
In the Sandmeyer reaction an aryl diazonium salt is treated with a copper(I) halide (CuCl or CuBr) to give an aryl chloride or bromide.
The Gattermann reaction uses copper powder with HX instead, and the Balz–Schiemann reaction gives aryl fluorides.
Answer: Sandmeyer reaction
Question 29 · General Awareness · Static GK
Where was the Durand Cup Tournament started in India in 1888?
- (a) Calcutta
- (b) Shimla
- (c) Mumbai
- (d) Delhi
Answer and explanation
Answer: (b) Shimla
The Durand Cup, one of the oldest football tournaments in the world, began in 1888 at Shimla (then Simla), named after Sir Mortimer Durand.
Answer: Shimla
Question 30 · General Awareness · Everyday science
According to Mendeleev's Periodic Table, which elements’ properties matched up remarkably well with eka-silicon?
- (a) Gallium
- (b) Titanium
- (c) Germanium
- (d) Scandium
Answer and explanation
Answer: (c) Germanium
Mendeleev left gaps for undiscovered elements and named one “eka-silicon”.
Germanium, discovered in 1886, had properties (atomic mass, density, oxide formula) that closely matched his predictions.
Answer: Germanium
Question 31 · General Awareness · History
Pulakeshin II assumed the title of ‘Dakshinapatheshvara’ (lord of the south) after defeating which of the following rulers of north India?
- (a) Rudrasena II
- (b) Prabhakarvardhana
- (c) Harshavardhana
- (d) Dhruvasena II
Answer and explanation
Answer: (c) Harshavardhana
The Chalukya king Pulakeshin II defeated Harshavardhana on the banks of the Narmada (c. 618–619 CE) and took the title “Dakshinapatheshvara”, lord of the south.
Answer: Harshavardhana
Question 32 · General Awareness · Economic awareness
NDP = _________.
- (a) GDP + Net factor income from abroad
- (b) GDP – Depreciation
- (c) GDP – Net factor income from abroad
- (d) GDP + Depreciation
Answer and explanation
Answer: (b) GDP – Depreciation
Net Domestic Product is Gross Domestic Product less depreciation (consumption of fixed capital): NDP = GDP − Depreciation.
Adding net factor income from abroad would give national (not domestic) aggregates.
Answer: GDP – Depreciation
Question 33 · General Awareness · Environment and society
According to Census of India 2011, female adolescents in the age group of 10-19 years had a share of:
- (a) 47.3%
- (b) 52.7%
- (c) 20.9%
- (d) 31.3%
Answer and explanation
Answer: (a) 47.3%
Census 2011 counted about 253 million adolescents (10–19 years); girls made up about 47.3% of them, reflecting the skewed sex ratio.
Answer: 47.3%
Question 34 · General Awareness · History
Ghiyas ud-din Balban had set up a _________ department called 'Diwan-i-arz'.
- (a) military
- (b) agriculture
- (c) education
- (d) commerce
Answer and explanation
Answer: (a) military
Diwan-i-arz was the military department; it handled recruitment, equipment and pay of the army. Balban reorganised it to strengthen the Sultanate’s army.
Answer: military
Question 35 · General Awareness · Static GK
Which famous santoor player was honoured with the Ustad Hafiz Ali Khan Award in 1998?
- (a) Satish Vyas
- (b) Tarun Bhattacharya
- (c) Abhay Sopori
- (d) Shivkumar Sharma
Answer and explanation
Answer: (d) Shivkumar Sharma
Pandit Shivkumar Sharma, who made the santoor a classical concert instrument, received the Ustad Hafiz Ali Khan Award in 1998.
Answer: Shivkumar Sharma
Question 36 · General Awareness · Current affairs
In 2022, Vinay Mohan Kwatra took charge as the Foreign Secretary of India. Prior to this, he served as the ambassador to which of the following countries?
- (a) Bhutan
- (b) Sri Lanka
- (c) Maldives
- (d) Nepal
Answer and explanation
Answer: (d) Nepal
Before becoming Foreign Secretary in May 2022, Vinay Mohan Kwatra was India’s Ambassador to Nepal (2020–22).
Answer: Nepal
Question 37 · General Awareness · Indian polity
When did a States Reorganisation Commission was set up, which recommended the creation of linguistic States on the basis of larger linguistic groups?
- (a) December 1963
- (b) December 1956
- (c) December 1953
- (d) December 1958
Answer and explanation
Answer: (c) December 1953
The States Reorganisation Commission (Fazl Ali, K. M. Panikkar, H. N. Kunzru) was appointed in December 1953. Its report led to the States Reorganisation Act, 1956.
Answer: December 1953
Question 38 · General Awareness · Geography
Which of the following is associated with the retreating monsoon in India?
- (a) October heat
- (b) Kaal Baisakhi
- (c) Mahawat
- (d) Loo
Answer and explanation
Answer: (a) October heat
During the retreat of the monsoon (October–November) clear skies and high temperatures combine with humid land, giving oppressive weather known as “October heat”.
Kaal Baisakhi and Loo are hot-weather phenomena; Mahawat is winter rain in north-west India.
Answer: October heat
Question 39 · General Awareness · Geography
The record obtained by the measurement of earthquake is called a:
- (a) seismograph
- (b) seismogram
- (c) seismology
- (d) seismic wave
Answer and explanation
Answer: (b) seismogram
A seismograph is the instrument; the record it produces is a seismogram. Seismology is the science of earthquakes.
Answer: seismogram
Question 40 · General Awareness · Everyday science
Match the points under Column A with those under Column B.
Column A (Disease) Column B (Organism Responsible) i. Malaria a. Vibrio ii. Diarrhoea b. Salmonella iii. Typhoid c. Rotavirus iv. Cholera d. Plasmodium - (a) i-a, ii-c, iii-b, iv-d
- (b) i-b, ii-a, iii-c, iv-d
- (c) i-a, ii-b, iii-c, iv-d
- (d) i-d, ii-c, iii-b, iv-a
Answer and explanation
Answer: (d) i-d, ii-c, iii-b, iv-a
Malaria is caused by the protozoan Plasmodium (i-d); rotavirus is a leading cause of diarrhoea in children (ii-c).
Typhoid is caused by Salmonella Typhi (iii-b) and cholera by Vibrio cholerae (iv-a).
Answer: i-d, ii-c, iii-b, iv-a
Read the notes: Everyday science
Question 41 · General Awareness · Indian polity
Which Article of the Indian Constitution provides for protecting and improving the environment and safeguarding forests and wildlife?
- (a) Article 47-A
- (b) Article 48-A
- (c) Article 47-B
- (d) Article 49-C
Answer and explanation
Answer: (b) Article 48-A
Article 48A, a Directive Principle added by the 42nd Amendment (1976), directs the State to protect and improve the environment and safeguard forests and wildlife.
Answer: Article 48-A
Question 42 · General Awareness · History
Who suggested the law that the British Government passed in 1856 to support widow remarriage?
- (a) Raja Ram Mohan Roy
- (b) Atmaram Pandurang
- (c) Ishwar Chandra Vidyasagar
- (d) Keshub Chandra Sen
Answer and explanation
Answer: (c) Ishwar Chandra Vidyasagar
Ishwar Chandra Vidyasagar campaigned and petitioned for widow remarriage; the Hindu Widows’ Remarriage Act was passed in 1856.
Answer: Ishwar Chandra Vidyasagar
Question 43 · General Awareness · Indian polity
Which part of the Indian Constitution deals with the Election Commission?
- (a) Part XV
- (b) Part XI
- (c) Part IV
- (d) Part XII
Answer and explanation
Answer: (a) Part XV
Part XV of the Constitution (Articles 324–329) deals with elections; Article 324 vests superintendence of elections in the Election Commission.
Answer: Part XV
Question 44 · General Awareness · Everyday science
Which essential amino acid enhances calcium absorption and also plays an important role in the formation of collagen?
- (a) Tyrosine
- (b) Histidine
- (c) Arginine
- (d) Lysine
Answer and explanation
Answer: (d) Lysine
Lysine, an essential amino acid, helps the body absorb calcium and is needed to form collagen (through hydroxylysine cross-links).
Answer: Lysine
Question 45 · General Awareness · Economic awareness
The Atal Innovation Mission was launched in year ________.
- (a) 2004
- (b) 2014
- (c) 2016
- (d) 2021
Answer and explanation
Answer: (c) 2016
The Atal Innovation Mission was set up by NITI Aayog in 2016 to promote innovation and entrepreneurship (e.g. Atal Tinkering Labs, Atal Incubation Centres).
Answer: 2016
Question 46 · General Awareness · Culture
Makar Sankranti is the festival dedicated to which of the following Lords?
- (a) Surya
- (b) Chandra
- (c) Indra
- (d) Ganesha
Answer and explanation
Answer: (a) Surya
Makar Sankranti marks the Sun’s entry into Makara (Capricorn) and is dedicated to Surya, the Sun god.
Answer: Surya
Question 47 · General Awareness · Culture
Alla Rakha is famous for playing which of the following musical instruments?
- (a) Bansuri
- (b) Tabla
- (c) Shehnai
- (d) Damaru
Answer and explanation
Answer: (b) Tabla
Ustad Alla Rakha was a celebrated tabla player of the Punjab gharana and father of Zakir Hussain.
Answer: Tabla
Question 48 · General Awareness · Geography
Which of the following is an example of an eastern coast port?
- (a) Mormugao Port
- (b) Mumbai Port
- (c) New Mangalore Port
- (d) Chennai Port
Answer and explanation
Answer: (d) Chennai Port
Chennai is on the Coromandel (east) coast. Mormugao, Mumbai and New Mangalore are west-coast ports.
Answer: Chennai Port
Question 49 · General Awareness · Static GK
In chess which of the following may move only diagonally?
- (a) The Knight
- (b) The Bishop
- (c) The Queen
- (d) The Rook
Answer and explanation
Answer: (b) The Bishop
In chess the bishop moves only diagonally; the rook moves in straight lines, the queen both ways, and the knight in an L-shape.
Answer: The Bishop
Question 50 · General Awareness · Economic awareness
What is the primary objective of the Micro, Small, and Medium Enterprises Development (MSMED) Act of 2006 in India?
- (a) To focus on large-scale industries only
- (b) To increase import tariffs to protect MSMEs
- (c) To regulate foreign companies
- (d) To promote and facilitate the development of MSMEs
Answer and explanation
Answer: (d) To promote and facilitate the development of MSMEs
The MSMED Act, 2006 defines micro, small and medium enterprises and provides for facilitating their promotion, development and competitiveness (including protection against delayed payments).
Answer: To promote and facilitate the development of MSMEs
Quantitative Aptitude
Question 51 · Quant · Reading numerical charts
Study the given table and answer the question.
The table displays the number of cars produced (in lakhs) by six different brands between 2018 and 2023.Type 2018 2019 2000 2021 2022 2023 A 36 40 42 45 47 42 B 23 37 28 32 34 26 C 45 47 51 54 56 48 D 35 37 42 32 36 28 E 57 56 52 38 48 42 F 43 45 56 41 52 40 Find the difference in the average production of B and D during 2018-2023.
- (a) 5.5 lakhs
- (b) 4 lakhs
- (c) 6 lakhs
- (d) 5 lakhs
Answer and explanation
Answer: (d) 5 lakhs
B: 23 + 37 + 28 + 32 + 34 + 26 = 180, average 30 lakh. D: 35 + 37 + 42 + 32 + 36 + 28 = 210, average 35 lakh.
Difference = 35 − 30 = 5 lakh. (The third column, printed “2000” in the paper, is the year 2020.)
Answer: 5 lakhs
Question 52 · Quant · Algebra
If a3 + 1/a3 = 2 (a > 0), then the value of a + 1/a is:
- (a) 3
- (b) 1
- (c) 4
- (d) 2
Answer and explanation
Answer: (d) 2
Let x = a + 1/a. Then a³ + 1/a³ = x³ − 3x, so x³ − 3x = 2, i.e. (x − 2)(x + 1)² = 0.
Since a > 0, x = a + 1/a ≥ 2, so x = 2 (indeed a = 1).
Answer: 2
Question 53 · Quant · Motion problems
Suppose P starts walking at a speed of 8 km/h. After 8 hours B started travelling on a bicycle at a speed of 24 km/h. The distance from the starting B can catch A is:
- (a) 88 km
- (b) 72 km
- (c) 64 km
- (d) 96 km
Answer and explanation
Answer: (d) 96 km
When B starts, P is already 8 × 8 = 64 km ahead. B gains 24 − 8 = 16 km every hour.
Time to catch up = 64 ÷ 16 = 4 h, so the meeting point is 24 × 4 = 96 km from the start. (The question calls the walker both P and A.)
Answer: 96 km
Question 54 · Quant · Algebra
Nihira is 25 years old and Punith is 30 years old. How many years ago was the ratio of their ages 3 : 4?
- (a) 20 years
- (b) 15 years
- (c) 5 years
- (d) 10 years
Answer and explanation
Answer: (d) 10 years
Let it be x years ago: (25 − x)/(30 − x) = 3/4.
4(25 − x) = 3(30 − x) → 100 − 4x = 90 − 3x → x = 10.
Answer: 10 years
- Question 55: The official figure/image for this question (or one of its options) is not available in the archived answer-key sheet, so it is not reproduced.
Question 56 · Quant · Work rates
An inlet pipe can fill a water storage tank in 11 hours and an outlet pipe can empty the completely filled tank in 15 hours .If both pipes opened simultaneously. The time taken to fill the empty tank ( in hrs) is :
- (a) 40
- (b) 41¼
- (c) 45½
- (d) 49¾
Answer and explanation
Answer: (b) 41¼
Net filling per hour = 1/11 − 1/15 = (15 − 11)/165 = 4/165 of the tank.
Time = 165/4 = 41¼ hours.
Answer: 41¼
Question 57 · Quant · Number foundations
9 ÷ [1 + {4 × (5/6 − 1/3 + 1/2)}] is equal to:
- (a) 9
- (b) 0
- (c) 1
- (d) 9/5
Answer and explanation
Answer: (a) 9
The bar (vinculum) is solved first: 1/3 + 1/2 = 5/6.
So 5/6 − 5/6 = 0, the braces give 4 × 0 = 0, and 9 ÷ [1 + 0] = 9.
Answer: 9
Question 58 · Quant · Percentage
The salaries of P and Q together amount to ₹9,60,000. P and Q save 64% and 44%, respectively of their individual salaries. If P’s expenditure is 1.5 times Q’s expenditure, then what is the ratio of P’s salary to Q’s salary?
- (a) 3 : 7
- (b) 7 : 3
- (c) 2 : 3
- (d) 3 : 2
Answer and explanation
Answer: (b) 7 : 3
P spends 36% of P’s salary and Q spends 56% of Q’s salary. Given 0.36P = 1.5 × 0.56Q = 0.84Q.
P : Q = 0.84 : 0.36 = 7 : 3.
Answer: 7 : 3
Question 59 · Quant · Plane geometry
If the lengths of two sides of an isosceles triangle are 6 cm and 12 cm, then find the length of the third side.
- (a) 12 cm
- (b) 14 cm
- (c) 6 cm
- (d) 8 cm
Answer and explanation
Answer: (a) 12 cm
The third side must equal one of the given sides. If it were 6 cm, the sides 6, 6, 12 would fail the triangle inequality (6 + 6 is not greater than 12).
So the third side is 12 cm.
Answer: 12 cm
- Question 60: The official figure/image for this question (or one of its options) is not available in the archived answer-key sheet, so it is not reproduced.
- Question 61: The official figure/image for this question (or one of its options) is not available in the archived answer-key sheet, so it is not reproduced.
Question 62 · Quant · Trigonometry
If m + 5 = sec2A cosec2A (1 − cos2A)(1 − sin2A) + 5, then find the value of m:
- (a) 0
- (b) 10
- (c) 1
- (d) 5
Answer and explanation
Answer: (c) 1
(1 − cos²A)(1 − sin²A) = sin²A · cos²A.
sec²A · cosec²A · sin²A · cos²A = 1, so m + 5 = 1 + 5 and m = 1.
Answer: 1
Question 63 · Quant · Reading numerical charts
The following table shows the number of pages printed by 3 printers (P, Q and R) for 3 days.
Day P Q R Monday 100 130 200 Tuesday 120 145 160 Wednesday 180 85 120 What is the ratio of the total number of pages printed by printer P over the course of three days to the total number of pages printed by printer Q during the same three days?
- (a) 10 : 9
- (b) 11 : 10
- (c) 9 : 10
- (d) 10 : 11
Answer and explanation
Answer: (a) 10 : 9
P: 100 + 120 + 180 = 400. Q: 130 + 145 + 85 = 360.
400 : 360 = 10 : 9.
Answer: 10 : 9
- Question 64: The official figure/image for this question (or one of its options) is not available in the archived answer-key sheet, so it is not reproduced.
Question 65 · Quant · Plane geometry
The side BC of ∆ABC is produced to a point D. If AC = BC and ∠BAC = 70°, then find the value of ∠ACD − ∠ABC.
- (a) 45°
- (b) 60°
- (c) 70°
- (d) 75°
Answer and explanation
Answer: (c) 70°
AC = BC, so the angles opposite them are equal: ∠ABC = ∠BAC = 70°, and ∠ACB = 180° − 140° = 40°.
Exterior angle ∠ACD = 180° − 40° = 140°, so ∠ACD − ∠ABC = 140° − 70° = 70°.
Answer: 70°
Question 66 · Quant · Plane geometry
It is always possible to draw a circle passing through ______ non-collinear points in a plane.
- (a) 4
- (b) 6
- (c) 5
- (d) 3
Answer and explanation
Answer: (d) 3
Any three non-collinear points determine exactly one circle (the circumcircle of the triangle they form). Four or more points lie on one circle only in special cases.
Answer: 3
- Question 67: The official figure/image for this question (or one of its options) is not available in the archived answer-key sheet, so it is not reproduced.
Question 68 · Quant · Trigonometry
Evaluate 2 (tan 54°/cot 36°) − (cot 41°/tan 49°).
- (a) 1
- (b) -1
- (c) 0
- (d) 2
Answer and explanation
Answer: (a) 1
tan 54° = cot (90° − 54°) = cot 36°, so tan 54°/cot 36° = 1. Likewise cot 41° = tan 49°, so cot 41°/tan 49° = 1.
Value = 2 × 1 − 1 = 1.
Answer: 1
Question 69 · Quant · Number foundations
Which of the following fractions is the largest?
3/7, 7/53, 41/80, 29/79- (a) 7/53
- (b) 3/7
- (c) 29/79
- (d) 41/80
Answer and explanation
Answer: (d) 41/80
41/80 is more than 1/2 (= 40/80), while 3/7, 7/53 and 29/79 are all less than 1/2.
So 41/80 is the largest.
Answer: 41/80
Question 70 · Quant · Reading numerical charts
The given bar graph shows sugar imports of a country (in thousand tonnes) over the years. Study the graph and answer the question that follows.
(Data from the official chart, shown as a table.)
Year Sugar imports (thousand tonnes) 2010 5325 2011 4521 2012 6231 2013 8542 2014 7456 2015 6523 2016 5544 The average imports (in thousand tonnes) of all the years is:
- (a) 6306
- (b) 6469
- (c) 6433
- (d) 6603
Answer and explanation
Answer: (a) 6306
Total = 5325 + 4521 + 6231 + 8542 + 7456 + 6523 + 5544 = 44142 thousand tonnes.
Average = 44142 ÷ 7 = 6306.
Answer: 6306
- Question 71: The official figure/image for this question (or one of its options) is not available in the archived answer-key sheet, so it is not reproduced.
Question 72 · Quant · Commercial arithmetic
Rohini buys a Bluetooth headphone set for ₹1,700 from a wholesale shop and marks it at ₹2,000. Later on, she allows a discount of 40% on its sale. What is her loss or gain percentage (correct up to two decimal places)?
- (a) 29.41% gain
- (b) 29.41% loss
- (c) 25.19% loss
- (d) 25.19% gain
Answer and explanation
Answer: (b) 29.41% loss
Selling price = 2000 − 40% of 2000 = ₹1,200, which is below the cost of ₹1,700.
Loss = 500, loss % = 500/1700 × 100 ≈ 29.41%.
Answer: 29.41% loss
Question 73 · Quant · Interest calculations
The simple interest on a sum for 6 years is three-fifth of the sum. The rate of interest per annum is:
- (a) 7%
- (b) 10%
- (c) 5%
- (d) 3%
Answer and explanation
Answer: (b) 10%
SI = P × R × 6/100 = 3P/5.
So 6R/100 = 3/5 and R = 10% per annum.
Answer: 10%
Question 74 · Quant · Area and volume
The circumference of the base of the cylindrical vessel is 154 cm and its height is 49 mm. How many litres of water can it hold? (correct to three places of decimals, use π = 22/7)
- (a) 3.924
- (b) 4.329
- (c) 2.439
- (d) 9.244
Answer and explanation
Answer: (d) 9.244
2πr = 154 → r = 154 × 7/44 = 24.5 cm; height = 49 mm = 4.9 cm.
Volume = 22/7 × 24.5 × 24.5 × 4.9 = 9243.85 cm³ = 9.244 litres (1 litre = 1000 cm³).
Answer: 9.244
Question 75 · Quant · Statistics and probability
The average of the squares of the first 48 natural numbers is
- (a) 791.17
- (b) 792.17
- (c) 794.17
- (d) 793.17
Answer and explanation
Answer: (b) 792.17
Sum of squares of the first n natural numbers = n(n + 1)(2n + 1)/6 = 48 × 49 × 97/6 = 38024.
Average = 38024/48 = (49 × 97)/6 ≈ 792.17.
Answer: 792.17
English Comprehension
Question 76 · English · Sentence improvement
Select the option that can substitute/replace the bracketed word correctly and complete the sentence.
If he runs, he (get) there in time.- (a) has to get
- (b) got there in time
- (c) is getting
- (d) will get
Answer and explanation
Answer: (d) will get
This is a first conditional: “If + simple present, … will + verb”.
So: If he runs, he will get there in time.
Answer: will get
Question 77 · English · Vocabulary
Select the most appropriate ANTONYM of the given word.
Dissolve- (a) Solve
- (b) Fade
- (c) Appear
- (d) Vanish
Answer and explanation
Answer: (c) Appear
“Dissolve” means to disappear or fade away. Its opposite is “appear”; “fade” and “vanish” are near-synonyms.
Answer: Appear
Question 78 · English · Idioms and phrases
Select the option that can be used as a one-word substitute for the given group of words.
A performer’s first public appearance- (a) Debut
- (b) Premise
- (c) Foundation
- (d) Dawn
Answer and explanation
Answer: (a) Debut
A performer’s first public appearance is a “debut”.
Answer: Debut
Question 79 · English · Vocabulary
Select the most appropriate ANTONYM of the underlined word to fill in the blank.
Ram failed initially but after a few years, he _________ in every field.- (a) enjoyed
- (b) reserved
- (c) succeeded
- (d) elevated
Answer and explanation
Answer: (c) succeeded
The opposite of “failed” is “succeeded”, and the contrast word “but” calls for it.
Answer: succeeded
Question 80 · English · Grammar and error detection
The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
The company specialises at / designing, crafting and manufacturing / exquisite, high-quality furniture / of exceptional craftsmanship.- (a) exquisite, high-quality furniture
- (b) of exceptional craftsmanship
- (c) The company specialises at
- (d) designing, crafting and manufacturing
Answer and explanation
Answer: (c) The company specialises at
The verb “specialise” takes the preposition “in”: “The company specialises in designing…”. The error is in “The company specialises at”.
Answer: The company specialises at
Question 81 · English · Idioms and phrases
Select the most appropriate option that can substitute the underlined part in the following sentence.
The entire speech of the revivalist fell flat with the crowd that was present there.- (a) had a great impact on
- (b) had moderate influence on
- (c) had no effect on
- (d) had somewhat of a result on
Answer and explanation
Answer: (c) had no effect on
“Fall flat” means to fail to produce the intended effect, so the speech “had no effect on” the crowd.
Answer: had no effect on
Question 82 · English · Sentence organisation
Select the option that expresses the given sentence in active voice.
A comic play was performed by the comedian.- (a) The comedian do perform a comic play.
- (b) The comedian performs a comic play.
- (c) The comedian performed a comic play.
- (d) The comedian performance a comic play.
Answer and explanation
Answer: (c) The comedian performed a comic play.
Passive “was performed by the comedian” is in the past tense, so the active form keeps the past tense: “The comedian performed a comic play.”
Answer: The comedian performed a comic play.
Question 83 · English · Sentence organisation
Parts of a sentence are given below in jumbled order. Arrange the parts in the correct order to form a meaningful sentence.
P) achieve success
Q) when you
R) and polite
S) stay humble- (a) PQRS
- (b) SRQP
- (c) PRQS
- (d) RQPS
Answer and explanation
Answer: (b) SRQP
The sentence reads: “Stay humble (S) and polite (R) when you (Q) achieve success (P).” — SRQP.
Answer: SRQP
Question 84 · English · Sentence organisation
Parts of a sentence are given below in jumbled order. Arrange the parts in the correct order to form a meaningful sentence.
(A) and was searching for them
(B) the grandmother couldn’t find
(C) all around the house
(D) placed them on her head
(E) her spectacles because she had- (a) BEDAC
- (b) CABED
- (c) BADEC
- (d) ADBEC
Answer and explanation
Answer: (a) BEDAC
“The grandmother couldn’t find (B) her spectacles because she had (E) placed them on her head (D) and was searching for them (A) all around the house (C).” — BEDAC.
Answer: BEDAC
Question 85 · English · Vocabulary
The following sentence contains a word with a spelling error. Rectify the sentence by selecting the correct spelling of the identified word from the given options.
Later on, he was truely apologetic for his misconduct in the meeting.- (a) Treuly
- (b) Truly
- (c) Truily
- (d) Trooly
Answer and explanation
Answer: (b) Truly
When “true” takes the suffix “-ly”, the final “e” is dropped: “truly”.
Answer: Truly
Question 86 · English · Vocabulary
Select the correctly spelt word.
- (a) Exhileration
- (b) Exhillaration
- (c) Exilaration
- (d) Exhilaration
Answer and explanation
Answer: (d) Exhilaration
The correct spelling is “exhilaration” (from “exhilarate”), with “h” after “x” and a single “l”.
Answer: Exhilaration
Question 87 · English · Grammar and error detection
The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
My dog / barks / very louder / at night.- (a) very louder
- (b) barks
- (c) at night
- (d) My dog
Answer and explanation
Answer: (a) very louder
“Very” cannot qualify the comparative “louder”, and no comparison is being made. It should be “very loudly”, an adverb modifying “barks”.
Answer: very louder
Question 88 · English · Sentence organisation
Select the option that expresses the given sentence in passive voice.
The research team is conducting experiments on a new drug that could revolutionise the treatment of the disease.- (a) Experiments are conducted on a new drug that could revolutionise the treatment of the disease from the research team.
- (b) Experiments are being conducted on a new drug that could revolutionise the treatment of the disease by the research team.
- (c) Experiments were being conducted on a new drug that could revolutionise the treatment of the disease by the research team.
- (d) Experiments have been conducted on a new drug that could have revolutionised the treatment of the disease through the research team.
Answer and explanation
Answer: (b) Experiments are being conducted on a new drug that could revolutionise the treatment of the disease by the research team.
The active verb “is conducting” is present continuous, whose passive is “are being conducted”.
So: “Experiments are being conducted on a new drug … by the research team.”
Answer: Experiments are being conducted on a new drug that could revolutionise the treatment of the disease by the research team.
Question 89 · English · Idioms and phrases
Select the most appropriate idiom that can substitute the underlined segment in the given sentence.
Leela was in class when the big fight happened. So, if you want to know the details, You should ask her, you will get the truth given by somebody who is directly involved and therefore likely to be accurate.- (a) shooting off the cuff
- (b) calling a spade a spade
- (c) straight from the horse’s mouth
- (d) with kid gloves
Answer and explanation
Answer: (c) straight from the horse’s mouth
“Straight from the horse’s mouth” means information obtained directly from the person involved, and hence reliable.
Answer: straight from the horse’s mouth
Question 90 · English · Vocabulary
Select the most appropriate synonym of the underlined word.
Our university is affiliated with various institutes all over the world.- (a) unalike
- (b) diverse
- (c) allied
- (d) disparate
Answer and explanation
Answer: (c) allied
“Affiliated” means officially connected or associated, so “allied” is the synonym.
Answer: allied
Question 91 · English · Sentence completion
Select the most appropriate option to fill in the blank.
Raj is very interested in studying human psychology, so he decided to pursue his master’s degree in __________.- (a) Archaeology
- (b) Philosophy
- (c) Psychology
- (d) Anatomy
Answer and explanation
Answer: (c) Psychology
The study of the human mind and behaviour is psychology, matching Raj’s interest.
Answer: Psychology
Question 92 · English · Vocabulary
Select the most appropriate synonym of the given word.
Derogatory- (a) Derivative
- (b) Salutary
- (c) Insulting
- (d) Delegation
Answer and explanation
Answer: (c) Insulting
“Derogatory” means showing a disrespectful, critical attitude — “insulting”.
Answer: Insulting
Question 93 · English · Vocabulary
Select the most appropriate synonym of the underlined word.
We went to a legitimate Mexican restaurant for my birthday, where they served cuisine like you would find in Mexico.- (a) genuine
- (b) falsified
- (c) productive
- (d) fictitious
Answer and explanation
Answer: (a) genuine
Here “legitimate” means real or authentic (food like that served in Mexico), so “genuine” fits.
Answer: genuine
Question 94 · English · Vocabulary
Select the most appropriate ANTONYM of the given word.
Laudable- (a) Deplorable
- (b) Severe
- (c) Humorous
- (d) Commendable
Answer and explanation
Answer: (a) Deplorable
“Laudable” means deserving praise. Its antonym is “deplorable” (deserving strong condemnation); “commendable” is a synonym.
Answer: Deplorable
Question 95 · English · Idioms and phrases
Select the option that can be used as a one-word substitute for the given group of words.
To go through an area making a lot of noise and causing damage- (a) Violence
- (b) Rampage
- (c) Cacophony
- (d) Brutality
Answer and explanation
Answer: (b) Rampage
To rush about in a violent, destructive and noisy way is to “rampage”.
Answer: Rampage
- In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
The Kuno Palpur National Park, located in Madhya Pradesh's Chambal (1)__________, has an area of 750 square kilometres. It now has leopards, jackals, spotted deer, sambhar, neelgai, chinkara, wild boar, and four-horned antelope, making it a perfect (2)_________ base for felids. Despite strong objections from Gujarat, which (3)_________ that lions were part of the state's heritage, that MP had a poor (4)________ in wildlife management, and that Kuno Palpur had other big cat species that would (5)___________ lion relocation, the sanctuary was chosen for the lion reintroduction project in 2013.Question 96 · English · Cloze passages
Select the most appropriate option to fill in blank number 1.
- (a) reign
- (b) river
- (c) reason
- (d) region
Answer and explanation
Answer: (d) region
The park lies in the Chambal “region”, a geographical area. “Reign” is a ruler’s period, and the park is not located in a river.
Answer: region
Question 97 · English · Cloze passages
Select the most appropriate option to fill in blank number 2.
- (a) prey
- (b) guard
- (c) fun
- (d) aid
Answer and explanation
Answer: (a) prey
Leopards, jackals, deer and antelope are animals that big cats hunt, making the park a good “prey” base for felids.
Answer: prey
Question 98 · English · Cloze passages
Select the most appropriate option to fill in blank number 3.
- (a) restricted
- (b) adjourned
- (c) accused
- (d) claimed
Answer and explanation
Answer: (d) claimed
Gujarat put forward arguments, i.e. it “claimed” that lions were part of its heritage. “Accused” would need an object such as “accused MP of …”.
Answer: claimed
Question 99 · English · Cloze passages
Select the most appropriate option to fill in blank number 4.
- (a) summary
- (b) record
- (c) loss
- (d) gaze
Answer and explanation
Answer: (b) record
A “poor record in wildlife management” means a bad track record — the natural collocation.
Answer: record
Question 100 · English · Cloze passages
Select the most appropriate option to fill in blank number 5.
- (a) Jeopardise
- (b) safeguard
- (c) channelise
- (d) Innocuous
Answer and explanation
Answer: (a) Jeopardise
Gujarat argued that other big cats in Kuno would put the lion relocation at risk — they would “jeopardise” it.
Answer: Jeopardise
