SSC MTS 2021 PYQs

Question 1

Select the correct sequence of mathematical signs to sequentially replace the letters A, B, C, D and E so as to balance the given equation.(38 A 17) B 9 C 117 D 13 E 94 = 104

Accepted Answer

Substitute the signs from option 3 into the equation: (38 - 17) × 9 + 117 ÷ 13 - 94. Following BODMAS, calculate (21) × 9 + 9 - 94 = 189 + 9 - 94 = 198 - 94 = 104. This matches the RHS.

Question 2

‘Frogs’ is related to ‘Croak’ in the same way as ‘Peacock’ is related to ‘______’.

Accepted Answer

The analogy is based on the sound made by the animal. Frogs croak, and peacocks make a screaming sound. Thus, 'Scream' is the correct answer.

Question 3

In a certain code language, if '375' is written as '42', and '784' is written as '14', then in the same code language, how will you write '465'?

Accepted Answer

Correct answer: 2. 21

Question 4

The total surface area of a solid right circular cylinder of height 13 cm, is 880 cm2. Its volume (in cm3) is 11k, The value of k is: (take π = 22/7)

Accepted Answer

Given total surface area (TSA) = 880 cm² and height (h) = 13 cm. TSA = 2πr(r+h). Solve for radius (r). Then calculate volume (V) = πr²h. Finally, find k from V = 11k.

Question 5

Six students are sitting on a bench facing the interactive board in the classroom. A is sitting second to the right of B, while F is second to the right of E. If C is second right of A, then what is the sitting position of D in respect of F?

Accepted Answer

Arrange the students based on the given clues: B _ A _ C. F is second right of E, so E _ F. The remaining student D fits in the only empty spot. D is second right of F.

Question 6

Select the set of classes the relationship among which is best illustrated by the following Venn diagram.

Accepted Answer

The Venn diagram shows two distinct items fully contained within a larger category. Motorcycles and Scooters are both types of Vehicles, fitting this relationship perfectly.

Question 7

The average of the 2-digit numbers 37, 45, 6x and x6 is 48. What is the average of (4x + 3) and (x + 7)?

Accepted Answer

The sum of the four numbers is 48 × 4 = 192. The numbers are 37, 45, (60+x), and (10x+6). So, 37+45+60+x+10x+6 = 192, which gives 11x = 44, so x=4. The average of (4x+3) and (x+7) is ((16+3)+(4+7))/2 = (19+11)/2 = 15.

Question 8

Select the correct alternative to indicate the sequential order of the following terms as they appear in a dictionary.1. Dreamlike2. Dreamer3. Dreamy4. Dreamland5. Dreamtime

Accepted Answer

Arrange the words alphabetically. 'Dreamer' comes first, followed by 'Dreamland', then 'Dreamlike', 'Dreamtime', and finally 'Dreamy'. This matches option 3.

Question 9

Among five iron balls P, Q, R, S and T, the weight of Q is 5 kg, which is double the weight of P, The weight of S is half the weight of T. The weight of R is equal to the weight of P and Q taken together. The weight of T is four times the weight of R. What is the weight of S?

Accepted Answer

Q = 5 kg. P = Q/2 = 2.5 kg. R = P + Q = 2.5 + 5 = 7.5 kg. T = 4 * R = 4 * 7.5 = 30 kg. S = T/2 = 30/2 = 15 kg.

Question 10

Which of the following numbers will replace the question mark (?) in the given series?11, 22, 25, ?, 105, 630

Accepted Answer

The pattern is alternate multiplication and addition. 11 * 2 = 22, 22 + 3 = 25. So, 25 * 4 = 100. Then 100 + 5 = 105, and 105 * 6 = 630. Thus, 100 is the correct answer.

Question 11

Six friends are sitting in a line facing West. Gaurav is sitting at the third place to the left of Meenal. Varun is sitting between Vasu and Meenal. Poorvi is third to the right of Varun. Lalit is sitting to the immediate right of Meenal. Gaurav is sitting at one of the corners. Who is sitting to the immediate left of Poorvi?

Accepted Answer

Gaurav is at a corner, 3rd left of Meenal. Lalit is right of Meenal. Varun is between Vasu and Meenal. Poorvi is 3rd right of Varun. The arrangement is Gaurav, Vasu, Varun, Meenal, Lalit, Poorvi. Lalit is immediately left of Poorvi.

Question 12

Which number will replace the question mark (?) in the following number series?256, 123, 66, ?, 18, 6

Accepted Answer

The pattern is (previous number ± k) / 2, where k decreases by 1 each time and the sign alternates. (256-10)/2 = 123; (123+9)/2 = 66; (66-8)/2 = 29; (29+7)/2 = 18; (18-6)/2 = 6.

Question 13

Eight houses A, B, C, D, E, F, G and H are in two rows with four houses in each row. The houses in one row face the houses in the other.i. C is facing F.ii. G and A are diagonally opposite.iii. E is facing H, but is not in the same row as that of A.iv. H is between D and C.Which house is B facing?

Accepted Answer

From the given conditions, arrange the houses. H is between D and C. E faces H. C faces F. G and A are diagonally opposite. This arrangement places B facing A.

Question 14

Select the number that will replace the question mark (?) in the given number series.2, 5, 13, 29, ?

Accepted Answer

The series uses prime numbers, skipping an increasing number of primes each time: skip 1 prime after 2, skip 2 after 5, skip 3 after 13, and skip 4 primes after 29 to reach 47.

Question 15

The ratio of the speeds of A and B is 2 : 5. To cover a certain distance, if A takes 15 minutes more than B, then how much time (in minutes) will B take to cover the same distance?

Accepted Answer

Since distance is constant, time is inversely proportional to speed. The ratio of times for A and B is 5:2. The difference in time is 3 units, which equals 15 minutes. So, 1 unit = 5 minutes. B's time is 2 units, so 2 * 5 = 10 minutes.

Question 16

Which two signs should be interchanging to make the given equation correct?32 + 14 × 3 – 91 ÷ 7 = 3

Accepted Answer

By interchanging '+' and '–', the equation becomes 32 – 14 × 3 + 91 ÷ 7. Following BODMAS, 32 – 42 + 13 = 3. This makes the equation correct.

Question 17

If Q > Z = U, P = T < E, Q < D < P, then which of the following expressions is NOT correct?

Accepted Answer

Combine the given inequalities: U = Z < Q < D < P = T < E. From this combined chain, U < T is correct. Therefore, U > T is incorrect.

Question 18

Select the option word that is related to the third word in the same way as the word is related to the first word.Reaper : Farmer :: Anvil : ?

Accepted Answer

A reaper is a tool used by a farmer. Similarly, an anvil is a tool used by a blacksmith for shaping metal.

Question 19

If VEAL is coded as 4483 and LOWER is coded as 33549, then how would TECHNO be coded?

Accepted Answer

The logic is: for consonants, sum the digits of their alphabetical position (e.g., T=20 -> 2+0=2). For vowels, use a specific code: A=8, E=4, I=?, O=3, U=?. Applying this to TECHNO: T(20)=2, E=4, C(3)=3, H(8)=8, N(14)=5, O=3. So, the code is 243853.

Question 20

Which of the following conclusions were drawn on the basis of the given statements?Statement 1:All computers are laptops.Statement 2:Some laptops are software.

Accepted Answer

From 'All computers are laptops' and 'Some laptops are software', we can infer that some computers can potentially be software, as the 'some' overlap allows for this possibility.