SSC CGL Tier I 2024 – 24 Sep, Shift 2 Question Paper with Answers
SSC CGL 2024 Tier I, held on 24 September 2024, Shift 2 (12:30 PM – 1:30 PM). 82 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. 18 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 · Reasoning · Classification
The second number in the given number-pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) is/are followed in all the number-pairs, except one. Find that odd number-pair.
(NOTE: The relation should be found without breaking down the numbers into its constituent digits)- (a) 25 : 650
- (b) 18 : 306
- (c) 13: 182
- (d) 23 : 552
Answer and explanation
Answer: (b) 18 : 306
In each pair the second number is n × (n + 1): 25 × 26 = 650, 13 × 14 = 182, 23 × 24 = 552.
But 18 × 19 = 342, not 306 (306 = 17 × 18). So 18 : 306 is the odd pair.
Answer: 18 : 306
Question 2 · Reasoning · Coding and decoding
In a certain code language, ‘IFF’ is coded as ‘21’ and ‘ARB’ is coded as ‘21’. How will ‘CAW’ be coded in that language?
- (a) 23
- (b) 26
- (c) 27
- (d) 25
Answer and explanation
Answer: (c) 27
The code is the sum of the alphabet positions: IFF = 9 + 6 + 6 = 21 and ARB = 1 + 18 + 2 = 21.
CAW = 3 + 1 + 23 = 27.
Answer: 27
Question 3 · Reasoning · Logical inference
In this question, three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All necklaces are squares.
Some squares are circles.
No circle is a ring.
Conclusions:
I.No square is a ring.
II.No ring is a circle.
III.Some squares are necklaces.- (a) Only conclusions I and III follow.
- (b) Only conclusion III follows.
- (c) All the conclusions follow.
- (d) Only conclusions II and III follow.
Answer and explanation
Answer: (d) Only conclusions II and III follow.
“No circle is a ring” converts to “No ring is a circle”, so II follows.
“All necklaces are squares” means at least some squares are necklaces, so III follows.
Squares and rings are never directly linked (only some squares are circles), so “No square is a ring” is not certain; I does not follow.
Answer: Only conclusions II and III follow.
- Question 4: Figure-based question; the official figure is not available in the archived answer-key sheet.
Question 5 · Reasoning · Sequences
Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series.
LM_O_NPMRO_KU_TI- (a) NOPR
- (b) PNOR
- (c) NORP
- (d) RPMO
Answer and explanation
Answer: (c) NORP
Split the 16 letters into four blocks of four: LM_O | _NPM | RO_K | U_TI.
First letters go L, O, R, U (+3); second letters M, N, O, P (+1); third letters N, P, R, T (+2); fourth letters O, M, K, I (−2).
So the blanks are N, O, R, P.
Answer: NORP
Question 6 · Reasoning · Classification
Four letter-clusters have been given, out of which three are alike in some manner and one is different. Select the letter-cluster 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) MPS
- (b) TWZ
- (c) KNP
- (d) DGJ
Answer and explanation
Answer: (c) KNP
MPS, TWZ and DGJ each move +3, +3 in the alphabet (M→P→S, T→W→Z, D→G→J).
KNP moves +3, +2, so it is the odd one out.
Answer: KNP
- Question 7: Figure-based question; the official figure is not available in the archived answer-key sheet.
Question 8 · Reasoning · Relationships and ordering
The position(s) of how many letters will remain unchanged if all the letters in the word ‘ASTEROID’ are arranged in English alphabetical order?
- (a) Two
- (b) Three
- (c) One
- (d) None
Answer and explanation
Answer: (c) One
ASTEROID in alphabetical order is A D E I O R S T.
Comparing position by position with A S T E R O I D, only A (1st place) stays where it was.
Answer: One
- Question 9: Figure-based question; the official figure is not available in the archived answer-key sheet.
Question 10 · Reasoning · Analogies
Select the word pair that best represents a similar relationship to the one expressed in the pair of words given below. (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)
Cessation : Beginning- (a) Plutonic : Abyssal
- (b) Incredible : Magnificent
- (c) Obsession : Problem
- (d) Enormous : Miniscule
Answer and explanation
Answer: (d) Enormous : Miniscule
Cessation (an end) is the opposite of beginning.
In the same way, enormous is the opposite of minuscule (tiny). The other pairs are not opposites.
Answer: Enormous : Miniscule
Question 11 · Reasoning · Analogies
Select the option in which the numbers share the same relationship as that shared by the given pair of numbers.
(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.)
11 : 1331
9 : 729- (a) 6 : 180
- (b) 8 : 6561
- (c) 13 : 2028
- (d) 7 : 343
Answer and explanation
Answer: (d) 7 : 343
11³ = 1331 and 9³ = 729, so the second number is the cube of the first.
Only 7³ = 343 fits.
Answer: 7 : 343
- Question 12: Figure-based question; the official figure is not available in the archived answer-key sheet.
- Question 13: Figure-based question; the official figure is not available in the archived answer-key sheet.
Question 14 · Reasoning · Sequences
Which of the following terms will replace the question mark (?) in the given series?
HKPT, JLNS, LMLR, ?, POHP- (a) NNKQ
- (b) NNIQ
- (c) NNJQ
- (d) NNQJ
Answer and explanation
Answer: (c) NNJQ
Take each letter position separately: 1st letters H, J, L, ?, P (+2) → N; 2nd letters K, L, M, ?, O (+1) → N; 3rd letters P, N, L, ?, H (−2) → J; 4th letters T, S, R, ?, P (−1) → Q.
The missing term is NNJQ.
Answer: NNJQ
Question 15 · Reasoning · Analogies
Select the option in which the numbers share the same relationship as that shared by the given pair of numbers.
(317, 202)
(438, 323)
(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) (402, 287)
- (b) (415, 295)
- (c) (424, 315)
- (d) (391, 270)
Answer and explanation
Answer: (a) (402, 287)
317 − 202 = 115 and 438 − 323 = 115, so the second number is 115 less than the first.
402 − 287 = 115 fits; the other pairs differ by 120, 109 and 121.
Answer: (402, 287)
- Question 16: Figure-based question; the official figure is not available in the archived answer-key sheet.
Question 17 · Reasoning · Coding and decoding
In a certain code language, ‘TERRAIN’ is written as ‘VETTAIP’ and ‘TRAFFIC’ is written as ‘VTAHHIE’. How will ‘MOTOR’ be written in that language?
- (a) OVOTO
- (b) VOOOT
- (c) OOTVO
- (d) OOVOT
Answer and explanation
Answer: (d) OOVOT
In TERRAIN → VETTAIP and TRAFFIC → VTAHHIE, every consonant moves two letters forward (T→V, R→T, N→P, F→H, C→E) while vowels stay the same.
MOTOR → M→O, O stays, T→V, O stays, R→T = OOVOT.
Answer: OOVOT
Question 18 · 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?
14 − 45 × 5 + 6 ÷ 3 = ?- (a) 3
- (b) 5
- (c) 4
- (d) 6
Answer and explanation
Answer: (b) 5
After the swaps the expression becomes 14 + 45 ÷ 5 − 6 × 3.
Using BODMAS: 14 + 9 − 18 = 5.
Answer: 5
Question 19 · Reasoning · Analogies
22 is related to 176 following a certain logic. Following the same logic, 32 is related to 256. To which of the following is 48 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) 370
- (b) 384
- (c) 380
- (d) 374
Answer and explanation
Answer: (b) 384
22 × 8 = 176 and 32 × 8 = 256, so the rule is “multiply by 8”.
48 × 8 = 384.
Answer: 384
Question 20 · Reasoning · Sequences
Select the number from among the given options that can replace the question mark (?) in the following series.
5, 10, 17, 26, 37, ?- (a) 54
- (b) 50
- (c) 60
- (d) 52
Answer and explanation
Answer: (b) 50
The terms are n² + 1 for n = 2, 3, 4, …: 5, 10, 17, 26, 37.
Next is 7² + 1 = 50.
Answer: 50
Question 21 · Reasoning · Relationships and ordering
In a certain code language,
‘A + B’ means ‘A is the mother of B’;
‘A – B’ means ‘A is the brother of B’;
‘A x B’ means ‘A is the wife of B’ and
‘A ÷ B’ means ‘A is the father of B’.
Based on the above, if M + Q – R + K – Y, then how is M related to Y?- (a) Brother’s wife
- (b) Mother’s mother
- (c) Father’s mother
- (d) Mother
Answer and explanation
Answer: (b) Mother’s mother
M + Q: M is Q’s mother. Q − R: Q is R’s brother, so M is also R’s mother.
R + K: R is K’s mother; K − Y: K is Y’s brother, so R is Y’s mother.
M is the mother of Y’s mother, i.e. Y’s mother’s mother.
Answer: Mother’s mother
Question 22 · Reasoning · Symbolic calculations
Which two signs should be interchanged to make the following equation correct?
29 × 145 + 5 − 640 ÷ 15 = 216- (a) − and ×
- (b) ÷ and ×
- (c) − and +
- (d) ÷ and +
Answer and explanation
Answer: (d) ÷ and +
Swap ÷ and +: 29 × 145 ÷ 5 − 640 + 15.
145 ÷ 5 = 29, so 29 × 29 = 841; 841 − 640 + 15 = 216, which matches.
Answer: ÷ and +
- Question 23: Figure-based question; the official figure is not available in the archived answer-key sheet.
Question 24 · Reasoning · Analogies
Select the word pair that best represents a similar relationship to the one expressed in the pair of words given below. (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)
Scissors : Paper- (a) Furnace : Water
- (b) Mines : Diamond
- (c) Axe : Wood
- (d) Heater : Plastic
Answer and explanation
Answer: (c) Axe : Wood
Scissors are the tool used to cut paper.
Likewise an axe is the tool used to cut wood.
Answer: Axe : Wood
Question 25 · Reasoning · Analogies
Select the option that is related to the third word in the same way as the second word is related to the first word. (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.)
Pig : Piglets :: Deer : ?- (a) Pup
- (b) Foal
- (c) Fawn
- (d) Calf
Answer and explanation
Answer: (c) Fawn
A piglet is the young one of a pig.
The young one of a deer is called a fawn.
Answer: Fawn
General Awareness
Question 26 · General Awareness · Everyday science
Identify the INCORRECT pair regarding motion and their examples?
- (a) Translatory motion – A ball falling from the cliff
- (b) Oscillatory motion – Earth moving around the sun
- (c) Periodic motion – Hands of a clock
- (d) Rotatory motion – blades of a fan
Answer and explanation
Answer: (b) Oscillatory motion – Earth moving around the sun
The Earth’s revolution around the Sun repeats after equal intervals, so it is periodic (revolutionary) motion, not oscillatory motion.
Oscillatory motion is a to-and-fro movement about a mean position, like a pendulum. The other three pairs are correct.
Answer: Oscillatory motion – Earth moving around the sun
Question 27 · General Awareness · Everyday science
Which types of gametes are found in Spirogyra?
- (a) Isogamous and flagellated
- (b) Heterogamous and flagellated
- (c) Isogamous and non-flagellated
- (d) Heterogamous and non-flagellated
Answer and explanation
Answer: (c) Isogamous and non-flagellated
Spirogyra reproduces sexually by conjugation between filaments.
Its gametes are similar in size and shape (isogamous) and have no flagella; the contents simply flow through a conjugation tube.
Answer: Isogamous and non-flagellated
Question 28 · General Awareness · Economic awareness
Under which scheme are collateral free loans of up to ₹10 Lakh extended by the Member Lending Institutions (MLIs) in India?
- (a) National Strategy for Financial Inclusion
- (b) Pradhan Mantri Jan Dhan Yojana
- (c) Pradhan Mantri MUDRA Yojana
- (d) Stand Up India scheme
Answer and explanation
Answer: (c) Pradhan Mantri MUDRA Yojana
Under the Pradhan Mantri MUDRA Yojana (2015), banks, NBFCs and MFIs acting as Member Lending Institutions give collateral-free loans up to ₹10 lakh to micro and small non-farm enterprises (Shishu, Kishor and Tarun categories).
Answer: Pradhan Mantri MUDRA Yojana
Question 29 · General Awareness · Geography
According to the Census of India 2001, which of the following is the main reason that Indian men migrate?
- (a) Work and employment
- (b) Marriage
- (c) Education
- (d) Business
Answer and explanation
Answer: (a) Work and employment
Census 2001 migration data show that work and employment was the main reason for male migration, while marriage was the main reason for female migration.
Answer: Work and employment
Question 30 · General Awareness · Current affairs
Sankalp Gupta is associated with which of the following events?
- (a) Badminton
- (b) Boxing
- (c) Wrestling
- (d) Chess
Answer and explanation
Answer: (d) Chess
Sankalp Gupta is an Indian chess player from Nagpur who earned the Grandmaster title.
Answer: Chess
Question 31 · General Awareness · Indian polity
Which of the following statements is INCORRECT regarding Fundamental Rights?
- (a) The Fundamental Rights are mentioned in constitution from article 12 to 35.
- (b) Fundamental rights are derived from the Britain Constitution.
- (c) Fundamental Rights can be enforced by Law.
- (d) Article 21 provids right to life.
Answer and explanation
Answer: (b) Fundamental rights are derived from the Britain Constitution.
The idea of Fundamental Rights was borrowed from the Constitution of the USA (its Bill of Rights), not from Britain.
Fundamental Rights are in Part III (Articles 12–35), are enforceable in courts, and Article 21 protects life and personal liberty.
Answer: Fundamental rights are derived from the Britain Constitution.
Question 32 · General Awareness · Current affairs
Rudrankksh Patil is associated with _________.
- (a) wrestling
- (b) badminton
- (c) chess
- (d) shooting
Answer and explanation
Answer: (d) shooting
Rudrankksh Patil is an Indian shooter; he won the 10 m air rifle title at the 2022 ISSF World Championship in Cairo.
Answer: shooting
Question 33 · General Awareness · Culture
Which of the following festivals observed in Assam is majorly celebrated by Vaishnavites?
- (a) Bihu
- (b) Rongker
- (c) Ambuchi Mela
- (d) Doljatra
Answer and explanation
Answer: (d) Doljatra
Doljatra, the Assamese form of Holi linked to Lord Krishna, is celebrated mainly by Vaishnavites, especially at the satras of Barpeta.
Answer: Doljatra
Question 34 · General Awareness · History
Which of the following was NOT one of the basic attributes of Ashokas' Dhamma?
- (a) Celibacy
- (b) Political unification
- (c) Secularism
- (d) Ahimsa
Answer and explanation
Answer: (a) Celibacy
Ashoka’s Dhamma was a moral code for ordinary people: non-violence (ahimsa), tolerance of all sects, respect for elders and kindness to servants and slaves. It also served to hold his vast empire together.
Celibacy was not part of it, since Dhamma was meant for householders.
Answer: Celibacy
Question 35 · General Awareness · Static GK
Harmonium player, Tulsidas Borkar, was awarded with the ___________ in 2016.
- (a) Padma Bhushan
- (b) Padma Vibhushan
- (c) Padma Shri
- (d) Bharat Ratna
Answer and explanation
Answer: (c) Padma Shri
Tulsidas Borkar, a well-known harmonium player from Goa, received the Padma Shri in 2016.
Answer: Padma Shri
Question 36 · General Awareness · Geography
About what percentage of passenger traffic is carried by roads in India?
- (a) 57%
- (b) 87%
- (c) 67%
- (d) 77%
Answer and explanation
Answer: (b) 87%
Roads are India’s main mode of transport: they carry about 85–90% of passenger traffic and around 60% of freight. 87% is the closest option.
Answer: 87%
Question 37 · General Awareness · History
The real name of Babur, the founder of Mughal dynasty in India was:
- (a) Ruknuddin Muhammad
- (b) Zainuddin Muhammad
- (c) Zahiruddin Muhammad
- (d) Irfanuddin Muhammad
Answer and explanation
Answer: (c) Zahiruddin Muhammad
Babur, who founded the Mughal Empire after the First Battle of Panipat (1526), was born Zahiruddin Muhammad.
Answer: Zahiruddin Muhammad
Question 38 · General Awareness · History
Where was the 1912 session of the India National Congress held in Bihar?
- (a) Gaya
- (b) Bankipore
- (c) Sahasaram
- (d) Madhubani
Answer and explanation
Answer: (b) Bankipore
The 1912 session of the Indian National Congress was held at Bankipore (Patna) in Bihar and was presided over by R. N. Mudholkar.
Answer: Bankipore
Question 39 · General Awareness · Indian polity
Which Article mentions the Comptroller and Auditor General of India?
- (a) Article 136
- (b) Article 156
- (c) Article 148
- (d) Article 154
Answer and explanation
Answer: (c) Article 148
Article 148 provides for a Comptroller and Auditor General of India, appointed by the President.
Answer: Article 148
Question 40 · General Awareness · Economic awareness
The 'Make in India' initiative primarily focuses on which sector?
- (a) Import
- (b) Service
- (c) Agriculture
- (d) Manufacturing
Answer and explanation
Answer: (d) Manufacturing
Make in India (launched in September 2014) aims to make India a global manufacturing hub by attracting investment into manufacturing.
Answer: Manufacturing
Question 41 · General Awareness · Everyday science
Which of the following classes includes the family of turtles?
- (a) Amphibia
- (b) Reptilia
- (c) Aves
- (d) Chondrichthyes
Answer and explanation
Answer: (b) Reptilia
Turtles and tortoises are reptiles (class Reptilia): they are cold-blooded, have scaly skin and lay shelled eggs on land.
Answer: Reptilia
Question 42 · General Awareness · Current affairs
Which of the following States have enacted the Cattle Preservation Act, 2021 in July-August 2021 to regulate slaughter and transport of cattle and proposed an amendment in December 2021 to allow inter-district transportation of cattle for agricultural and animal husbandry except in districts sharing international border?
- (a) Sikkim
- (b) Assam
- (c) Arunachal Pradesh
- (d) Tripura
Answer and explanation
Answer: (b) Assam
The Assam Cattle Preservation Act, 2021 regulates the slaughter, sale and transport of cattle in Assam. An amendment proposed in December 2021 allowed inter-district movement of cattle for agriculture and animal husbandry, except in districts on the international border.
Answer: Assam
Question 43 · General Awareness · Current affairs
N. Rangasamy sworn in as the Chief Minister of Puducherry in May 2021. What is the name of the party he formed?
- (a) Viduthalai Chiruthaigal Katchi
- (b) All India NR Congress
- (c) Naam Tamilar Katchi
- (d) Amma Makkal Munnettra Kazagam
Answer and explanation
Answer: (b) All India NR Congress
N. Rangasamy founded the All India N.R. Congress in 2011 and became Chief Minister of Puducherry again in May 2021.
Answer: All India NR Congress
Question 44 · General Awareness · Geography
Which ocean is encircling the continent of Antarctica and extends northward to 60 degrees south latitude?
- (a) Indian Ocean
- (b) Pacific Ocean
- (c) Southern Ocean
- (d) Atlantic Ocean
Answer and explanation
Answer: (c) Southern Ocean
The Southern (Antarctic) Ocean surrounds Antarctica and, by the accepted definition, reaches north to 60° S latitude.
Answer: Southern Ocean
Question 45 · General Awareness · Culture
Some of the talas invented by ____________ include Trimukhi, Panchamukhi, Saptamukhi and Navamukhi.
- (a) Hariprasad Chaurasia
- (b) M Balamuralikrishna
- (c) Yashraj
- (d) Bhimsen Joshi
Answer and explanation
Answer: (b) M Balamuralikrishna
Carnatic musician M. Balamuralikrishna created new ragas and talas; his talas include Trimukhi, Panchamukhi, Saptamukhi and Navamukhi.
Answer: M Balamuralikrishna
Question 46 · General Awareness · History
In which year was the temple entry movement started by Bhimrao Ambedkar?
- (a) 1918
- (b) 1922
- (c) 1927
- (d) 1935
Answer and explanation
Answer: (c) 1927
Dr B. R. Ambedkar started a temple entry movement in 1927 to win Dalits the right to enter temples. Mahars took part, and the 1927 Mahad Satyagraha also took place that year.
Answer: 1927
Question 47 · General Awareness · Everyday science
Which gas is evolved when iron and water react?
- (a) Oxygen
- (b) Methane
- (c) Ammonia
- (d) Hydrogen
Answer and explanation
Answer: (d) Hydrogen
Hot iron reacts with steam to form iron oxide and hydrogen gas: 3Fe + 4H₂O → Fe₃O₄ + 4H₂.
Answer: Hydrogen
Question 48 · General Awareness · Current affairs
Who among the following is the first Indian to win gold at Junior World Weightlifting Championship in May 2022?
- (a) Mirabai Chanu
- (b) Harshada Sharad Garud
- (c) Sathish Sivalingam
- (d) Santoshi Matsa
Answer and explanation
Answer: (b) Harshada Sharad Garud
Harshada Sharad Garud won gold in the women’s 45 kg category at the IWF Junior World Weightlifting Championships in Heraklion, Greece, in May 2022, the first Indian to win gold at this event.
Answer: Harshada Sharad Garud
Question 49 · General Awareness · Geography
Which of the following group of months is the coldest in North India?
- (a) February and March
- (b) October and November
- (c) September and October
- (d) December and January
Answer and explanation
Answer: (d) December and January
In North India the cold season peaks in December and January, when cold north-westerly winds blow and temperatures are lowest.
Answer: December and January
Question 50 · General Awareness · Static GK
Who among the following dancers was the first one from the state of Odisha to be conferred the Padma Vibhushan Award?
- (a) Uday Shankar
- (b) Pandit Birju Maharaj
- (c) Guru Bipin Singh
- (d) Kelucharan Mohapatra
Answer and explanation
Answer: (d) Kelucharan Mohapatra
Guru Kelucharan Mohapatra, the Odissi maestro, received the Padma Vibhushan in 2000. He was the first person from Odisha to get the award.
Answer: Kelucharan Mohapatra
Quantitative Aptitude
Question 51 · Quant · Interest calculations
A cell phone is available for Rs.600 or for Rs.300 cash down payment together with Rs.360 to be paid after two months. Find the rate of interest charged under this scheme.
- (a) 50%
- (b) 20%
- (c) 120%
- (d) 60%
Answer and explanation
Answer: (c) 120%
After paying ₹300 down, the buyer owes ₹600 − ₹300 = ₹300, but pays ₹360 after 2 months. The interest is ₹60 on ₹300 for 2 months.
Rate = (60 × 100 × 12) / (300 × 2) = 120% per annum.
Answer: 120%
- Question 52: Figure-based question; the official figure is not available in the archived answer-key sheet.
- Question 53: The answer options are images that are not available in the archived answer-key sheet.
- Question 54: Figure-based question; the official figure is not available in the archived answer-key sheet.
- Question 55: Figure-based question; the official figure is not available in the archived answer-key sheet.
Question 56 · Quant · Ratio and proportion
If the mean proportional between p and q is 12, then the possible values of p and q, respectively, are:
- (a) 24, 6
- (b) 3, 28
- (c) 3, 38
- (d) 24, 16
Answer and explanation
Answer: (a) 24, 6
The mean proportional of p and q is √(pq), so pq = 12² = 144.
Only 24 × 6 = 144 among the options.
Answer: 24, 6
Question 57 · Quant · Area and volume
What is the length (in cm) of each side of a cube if the volume of a cube is 13,824 cm3?
- (a) 22
- (b) 34
- (c) 24
- (d) 20.4
Answer and explanation
Answer: (c) 24
Side = ∛13824. Since 24³ = 24 × 24 × 24 = 13,824, each side is 24 cm.
Answer: 24
Question 58 · Quant · Motion problems
Two goods trains 132 m and 108 m in length are running towards each other on parallel tracks. The first train is running at a speed of 32 km/h and the second at a speed of 40 km/h. How much time will they take to cross each other after meeting?
- (a) 15 s
- (b) 12 s
- (c) 13 s
- (d) 10 s
Answer and explanation
Answer: (b) 12 s
Moving towards each other, the relative speed is 32 + 40 = 72 km/h = 72 × 5/18 = 20 m/s.
Distance to cover = 132 + 108 = 240 m, so time = 240 / 20 = 12 s.
Answer: 12 s
Question 59 · Quant · Algebra
Ghanshyam is thrice as old as Akash. 10 years ago, Ghanshyam was four times as old as Akash.
What is the difference between their current ages (in years)?- (a) 60
- (b) 65
- (c) 55
- (d) 50
Answer and explanation
Answer: (a) 60
Let Akash be A; then Ghanshyam is 3A. Ten years ago: 3A − 10 = 4(A − 10), so A = 30.
Ghanshyam is 90, and the difference is 90 − 30 = 60 years.
Answer: 60
- Question 60: Figure-based question; the official figure is not available in the archived answer-key sheet.
Question 61 · Quant · Commercial arithmetic
An article is sold for ₹747 after successive discounts of 17% and x%. If the marked price of the article is ₹1,600, what is the value of x?
- (a) 43.75
- (b) 40.28
- (c) 32.26
- (d) 22.12
Answer and explanation
Answer: (a) 43.75
After a 17% discount: 1600 × 0.83 = ₹1328.
The second discount takes 1328 to 747: (1328 − 747)/1328 × 100 = 581/1328 × 100 = 43.75%.
Answer: 43.75
Question 62 · Quant · Trigonometry
If tanA+cotA=2, then the value of tan²A+cot²A is:
- (a) 2
- (b) 8
- (c) 16
- (d) 4
Answer and explanation
Answer: (a) 2
Square both sides: tan²A + cot²A + 2·tanA·cotA = 4.
Since tanA·cotA = 1, tan²A + cot²A = 4 − 2 = 2.
Answer: 2
- Question 63: Figure-based question; the official figure is not available in the archived answer-key sheet.
Question 64 · Quant · Commercial arithmetic
A person purchased a table and a sofa for ₹28,000. He sold the sofa at a profit of 10% and the table at a profit 15.25%. If his total profit was 13%, then the difference between the cost price of the sofa and the table (in ₹) is:
- (a) 2500
- (b) 5000
- (c) 1500
- (d) 4000
Answer and explanation
Answer: (d) 4000
Let the sofa cost S and the table T, with S + T = 28,000. Total profit = 13% of 28,000 = ₹3,640.
0.10S + 0.1525T = 3640 → 0.10(28000) + 0.0525T = 3640 → T = 16,000, S = 12,000.
Difference = ₹4,000.
Answer: 4000
Question 65 · Quant · Area and volume
The radii of two circles are 8 cm and 15 cm. The perimeter of the circle having area equal to the sum of the areas of the two circles (in cm) is:
- (a) 28π
- (b) 32π
- (c) 30π
- (d) 34π
Answer and explanation
Answer: (d) 34π
πR² = π(8²) + π(15²) = 289π, so R = 17 cm.
Perimeter = 2πR = 34π cm.
Answer: 34π
- Question 66: The question and its options are images that are not available in the archived answer-key sheet.
- Question 67: Figure-based question; the official figure is not available in the archived answer-key sheet.
- Question 68: Figure-based question; the official figure is not available in the archived answer-key sheet.
Question 69 · Quant · Percentage
Vipul spends 30% of his monthly income on rent, 60% of the remaining on groceries, and 40% of the remaining on others. If he saves ₹ 7056 in a month, then how much (in ₹) does he spend on groceries?
- (a) 15230
- (b) 17640
- (c) 18323
- (d) 22386
Answer and explanation
Answer: (b) 17640
Let income = I. Rent 30% leaves 0.7I; groceries = 60% of 0.7I = 0.42I, leaving 0.28I; others = 40% of 0.28I = 0.112I.
Savings = 0.28I − 0.112I = 0.168I = 7056, so I = 42,000. Groceries = 0.42 × 42,000 = ₹17,640.
Answer: 17640
- Question 70: Figure-based question; the official figure is not available in the archived answer-key sheet.
Question 71 · Quant · Number foundations
On dividing a number by 55, we get 28 as the remainder. On dividing the same number by 11, what is the remainder?
- (a) 5
- (b) 8
- (c) 6
- (d) 7
Answer and explanation
Answer: (c) 6
Write the number as 55k + 28. Since 55 is a multiple of 11, the remainder depends only on 28.
28 = 2 × 11 + 6, so the remainder is 6.
Answer: 6
Question 72 · Quant · Plane geometry
The radii of two concentric circles are 26 cm and 10 cm. If the chord of the greater circle is a tangent to the smaller circle, then find the length of that chord.
- (a) 48 cm
- (b) 28.7 cm
- (c) 28 cm
- (d) 38.7 cm
Answer and explanation
Answer: (a) 48 cm
The radius of the smaller circle to the point of contact is perpendicular to the chord and bisects it.
Half-chord = √(26² − 10²) = √576 = 24 cm, so the chord is 48 cm.
Answer: 48 cm
Question 73 · Quant · Mixtures
A man buys 10 kg of wheat at a rate of ₹26/kg. The wheat is mixed with 6 kg of other good quality of wheat to get a mixture at a price of ₹35/kg. The price of good quality wheat per kg (in ₹) is:
- (a) 42
- (b) 38
- (c) 46
- (d) 50
Answer and explanation
Answer: (d) 50
Mixture cost = 16 × 35 = ₹560. The cheaper wheat cost 10 × 26 = ₹260.
So 6 kg of good wheat cost ₹300, i.e. ₹50 per kg.
Answer: 50
Question 74 · Quant · Plane geometry
Let C be a circle with centre O and PQ be a minor arc on C. Let R and S be two points on the major arc of PQ on C. If PQ subtends an angle 80° at O, find ∠PRQ and ∠PSQ, respectively.
- (a) 40° and 40°
- (b) 40° and 50°
- (c) 40° and 60°
- (d) 50° and 80°
Answer and explanation
Answer: (a) 40° and 40°
An arc subtends at any point of the remaining circle half the angle it subtends at the centre.
So ∠PRQ = ∠PSQ = 80°/2 = 40°.
Answer: 40° and 40°
- Question 75: Data-interpretation question; the official data table is an image that is not available in the archived answer-key sheet.
English Comprehension
Question 76 · English · Grammar and error detection
The following sentence has been divided into four segments. Identify the segment in which the article has been used INCORRECTLY.
Master Sam / is a heaviest / boy in / grade twelve.- (a) boy in
- (b) is a heaviest
- (c) grade twelve.
- (d) Master Sam
Answer and explanation
Answer: (b) is a heaviest
A superlative adjective (heaviest) takes the definite article “the”.
So it should be “is the heaviest”.
Answer: is a heaviest
Question 77 · English · Idioms and phrases
Select the option that can be used as a one-word substitute for the given group of words
Anything pertaining to cats- (a) Taurine
- (b) Canine
- (c) Bovine
- (d) Feline
Answer and explanation
Answer: (d) Feline
Feline means relating to cats. Canine relates to dogs, bovine to cattle, and taurine to bulls.
Answer: Feline
Question 78 · English · Sentence improvement
Select the most appropriate option to substitute the underlined segment in the given sentence.
I had not only helped her by giving hints but also with providing her links.- (a) helped not only her by
- (b) helped her only by
- (c) helped her not by
- (d) helped her not only by
Answer and explanation
Answer: (d) helped her not only by
With “not only … but also”, both parts must have the same form. Here they are “by giving hints” and “(by) providing links”, so “not only” must come just before “by giving”: “helped her not only by giving hints …”.
Answer: helped her not only by
Question 79 · English · Sentence organisation
Select the option that expresses the given sentence in passive voice.
We have to say little in this matter.- (a) In this matter, little must be said.
- (b) In this matter, little is to be said.
- (c) Little has to be said in this matter.
- (d) Little had to be said in this matter.
Answer and explanation
Answer: (c) Little has to be said in this matter.
The object “little” becomes the subject, and “have to say” becomes “has to be said”, keeping the present tense.
Passive: “Little has to be said in this matter.”
Answer: Little has to be said in this matter.
Question 80 · English · Vocabulary
Select the INCORRECTLY spelt word.
- (a) Agree
- (b) Guilty
- (c) Admit
- (d) Atempt
Answer and explanation
Answer: (d) Atempt
The correct spelling is “attempt”, with a double t.
Answer: Atempt
Question 81 · English · Sentence completion
Select the most appropriate option to fill in the blank.
Sharat is always ______ about showing up for work because he believes that tardiness gets us nowhere.- (a) patient
- (b) punctual
- (c) drowsy
- (d) selective
Answer and explanation
Answer: (b) punctual
The clause about tardiness (being late) points to someone who is always on time, i.e. punctual.
Answer: punctual
Question 82 · English · Vocabulary
Select the most appropriate synonym of the given word.
Cascade- (a) Garden
- (b) Waterfall
- (c) Arcade
- (d) Criticise
Answer and explanation
Answer: (b) Waterfall
A cascade is a small waterfall, or water falling in stages.
Answer: Waterfall
Question 83 · English · Vocabulary
Select the most appropriate ANTONYM of the given word.
Hostile- (a) Eager
- (b) Friendly
- (c) Incoherent
- (d) Doubtful
Answer and explanation
Answer: (b) Friendly
Hostile means unfriendly or aggressive, so its opposite is friendly.
Answer: Friendly
Question 84 · English · Sentence improvement
Select the most appropriate option to substitute the underlined segment in the given sentence.
Positive self-talk have a great affect on one’s self-worth.- (a) has a great affect
- (b) have a great effect
- (c) having a great affect
- (d) has a great effect
Answer and explanation
Answer: (d) has a great effect
The subject “self-talk” is singular, so the verb is “has”.
“Effect” (noun, a result) is needed here, not “affect” (usually a verb).
Answer: has a great effect
Question 85 · English · Sentence organisation
Sentences of a paragraph are given below in jumbled order. Select the option that arranges the sentences in the correct logical sequence to form a meaningful and coherent paragraph.
a. It regulates the operation of all body organs and protects the body and mind from becoming unbalanced as a result of negative circumstances and unhealthy lifestyles.
b. It only requires frequent practice of the proper body motions and breathing techniques.
c. The physical benefits of yoga can be enjoyed for a lifetime without risk or injury.
d. It regulates the relationship between the body, the intellect, and the spirit.- (a) b, a, c, d
- (b) c, b, d, a
- (c) a, b, c, d
- (d) d, a, b, c
Answer and explanation
Answer: (b) c, b, d, a
c introduces yoga and its lifelong benefits. b (“It only requires …”) explains what it needs. d and a then describe what it regulates, ending with its protective role.
The order is c, b, d, a.
Answer: c, b, d, a
Question 86 · English · Vocabulary
Select the most appropriate meaning of the underlined word.
At times, David behaves in a very obdurate manner to kids.- (a) obstinate
- (b) envious
- (c) amiable
- (d) trusting
Answer and explanation
Answer: (a) obstinate
Obdurate means stubbornly refusing to change one’s attitude, i.e. obstinate.
Answer: obstinate
Question 87 · English · Idioms and phrases
Select the option that can be used as a one-word substitute for the given group of words.
Dealing with things in a practical and sensible way- (a) Pragmatic
- (b) Cynic
- (c) Sceptic
- (d) Stoic
Answer and explanation
Answer: (a) Pragmatic
Pragmatic means dealing with things sensibly and realistically. A cynic distrusts motives, a sceptic doubts, and a stoic endures without complaint.
Answer: Pragmatic
Question 88 · English · Vocabulary
Select the most appropriate ANTONYM of the given word.
Foment- (a) Remoteness
- (b) Separation
- (c) Regulate
- (d) Proximity
Answer and explanation
Answer: (c) Regulate
To foment is to stir up or provoke trouble.
Of the options, “regulate” (to control and keep in order) is the closest opposite.
Answer: Regulate
Question 89 · English · Vocabulary
Select the most appropriate synonym of the underlined word in the following sentence.
Sachin Tendulkar was an indispensable member of the Indian cricket team in his days.- (a) Functional
- (b) Optional
- (c) Motivational
- (d) Essential
Answer and explanation
Answer: (d) Essential
Indispensable means absolutely necessary, i.e. essential.
Answer: Essential
Question 90 · English · Sentence organisation
Select the option that expresses the given sentence in active voice.
He was given a reward for his contribution by the Governor.- (a) Rewarded by the governor, as he contributed along.
- (b) For his contribution, he was rewarded by the governor.
- (c) The governor gave him a reward for his contribution.
- (d) The governor rewarded him.
Answer and explanation
Answer: (c) The governor gave him a reward for his contribution.
The agent “the Governor” becomes the subject, and “was given” becomes the simple past “gave”.
Active: “The governor gave him a reward for his contribution.”
Answer: The governor gave him a reward for his contribution.
Question 91 · English · Idioms and phrases
Select the most appropriate meaning of the underlined idiom in the following sentence.
Rahul won the extempore competition. He is lucky to be blessed with the gift of the gab.- (a) A big surprise
- (b) A lucky person
- (c) A talent for speaking
- (d) An honest person
Answer and explanation
Answer: (c) A talent for speaking
“The gift of the gab” is the ability to speak easily and persuasively, which fits winning an extempore contest.
Answer: A talent for speaking
Question 92 · English · Grammar and error detection
Parts of the following sentence have been given as options. Select the option that contains an error.
Deepak is studying B.tech. at IIT Delhi to become the engineer.- (a) the engineer
- (b) to become
- (c) Deepak is studying
- (d) B.tech. at IIT Delhi
Answer and explanation
Answer: (a) the engineer
He wants to become one of many engineers, not a particular one, so the indefinite article is needed: “to become an engineer”.
Answer: the engineer
Question 93 · English · Vocabulary
Select the correct spelling to fill in the blank.
Definitions of _________ are subjective to various interpretations.- (a) soverenty
- (b) sovereignty
- (c) sovereinity
- (d) suvereignty
Answer and explanation
Answer: (b) sovereignty
The correct spelling is “sovereignty”, meaning supreme power or authority.
Answer: sovereignty
Question 94 · English · Idioms and phrases
Select the option that can be used as a one-word substitute for the given group of words.
That which is no longer in existence- (a) Extinct
- (b) Vanished
- (c) Destroyed
- (d) Removed
Answer and explanation
Answer: (a) Extinct
Extinct describes something, such as a species, that no longer exists.
Answer: Extinct
Question 95 · English · Idioms and phrases
Select the most appropriate option to substitute the underlined segment in the given sentence.
Nina has not yet learned how to straighten up and fly right.- (a) forget the wrongdoings of the others
- (b) remember the past and prepare for the future
- (c) improve her absurd behaviour and act seriously
- (d) be professional in flying the aircraft
Answer and explanation
Answer: (c) improve her absurd behaviour and act seriously
“Straighten up and fly right” is an idiom meaning to stop misbehaving and act properly and seriously.
Answer: improve her absurd behaviour and act seriously
- In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option, in the questions that follow, to fill in each blank.
A dance which is created or choreographed and performed according (1)___________ the tenets of the Natya Shastra is called a classical dance. The two broad (2)____________ of classical dancing are the tandava and the lasya. Power and force are typical of the tandava; grace and delicacy of the lasya. Tandava is (3)_______________ with Shiva, and lasya with Parvati. Dance which is pure movement is called nritta, and dance which is (4)_______________ in nature is called nritya. A dancer, in the classical tradition, has to have years of training before he or she can begin to perform on the stage. The four main (5)_____________ of classical dancing in India are : Bharat Natyam, Kathakali, Manipuri, Kathak .Bharat Natyam is the oldest and most popular dance-form of India.Question 96 · English · Cloze passages
Select the most appropriate option to fill in blank number 1.
- (a) to
- (b) with
- (c) of
- (d) for
Answer and explanation
Answer: (a) to
The fixed phrase is “according to”.
Answer: to
Question 97 · English · Cloze passages
Select the most appropriate option to fill in blank number 2.
- (a) display
- (b) criteria
- (c) aspects
- (d) options
Answer and explanation
Answer: (c) aspects
Tandava and lasya are two broad aspects (sides or forms) of classical dancing.
Answer: aspects
Question 98 · English · Cloze passages
Select the most appropriate option to fill in blank number 3.
- (a) informed
- (b) flourished
- (c) associated
- (d) renovate
Answer and explanation
Answer: (c) associated
Tandava is linked with Shiva and lasya with Parvati; the correct collocation is “associated with”.
Answer: associated
Question 99 · English · Cloze passages
Select the most appropriate option to fill in blank number 4.
- (a) interpretative
- (b) commodious
- (c) haphazard
- (d) vegetative
Answer and explanation
Answer: (a) interpretative
Nritta is pure movement, while nritya expresses meaning and emotion. So the blank needs “interpretative” (expressive).
Answer: interpretative
Question 100 · English · Cloze passages
Select the most appropriate option to fill in blank number 5.
- (a) terminologies
- (b) characters
- (c) schools
- (d) functions
Answer and explanation
Answer: (c) schools
Bharatanatyam, Kathakali, Manipuri and Kathak are styles, or schools, of classical dance.
Answer: schools
