SSC MTS 2021 PYQs

Question 1

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

Sum of numbers = 4 * 48 = 192. So, 37 + 45 + (60+x) + (10x+6) = 192. This simplifies to 88 + 11x = 192, giving 11x = 104, so x = 8. Then, average of (4*8+3) and (8+7) is (35+15)/2 = 25.

Question 2

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 3

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 4

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 5

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 6

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

Accepted Answer

The series follows a pattern of subtracting decreasing powers of 2. The differences are 133, 57, 29, 12. The pattern is 2^7-1, 2^6-7, 2^5-5, 2^4-4. So, 66 - 37 = 29.

Question 7

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 8

Which number will replace the question mark (?) in the following series?31, 32, 35, 46, 59, 88, 119, ?

Accepted Answer

The differences between consecutive terms are 1, 3, 11, 13, 29, 31. This is a series of prime numbers and their squares. The next difference should be 55 (5^2 + 30). So, 119 + 55 = 174.

Question 9

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 10

Identify the option in which the following figure is embedded (rotation is NOT applicable).

Accepted Answer

Carefully observe the given figure and compare it with each option. Option 1 perfectly contains the exact shape without any rotation or alteration.

Question 11

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 12

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 13

Select the option that will replace the question mark (?) in the figure given below to complete the pattern.

Accepted Answer

The pattern involves rotating the inner and outer shapes. The inner shape rotates 90 degrees clockwise, and the outer shape rotates 90 degrees counter-clockwise in each step.

Question 14

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 15

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 16

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

Accepted Answer

The pattern is: V=22 (2+2=4), E=5, A=1, L=12 (1+2=3). So VEAL is 4513. The given code is 4483. This means the second digit of the letter position is used if it's a single digit, otherwise sum of digits. E=5 is coded as 4, A=1 is coded as 8. This is not a simple pattern. Let's re-examine. V=22, E=5, A=1, L=12. VEAL=4483. L=12 (1+2=3). E=5. A=1. V=22 (2+2=4). The pattern is: V=4, E=4, A=8, L=3. This is a direct letter-to-digit mapping. V=4, E=4, A=8, L=3. L=3, O=3, W=5, E=4, R=9. So, T=2, E=4, C=3, H=8, N=5, O=3. Thus, TECHNO = 243853.

Question 17

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.

Question 18

Select the number-pair in which the numbers are related in the same way as are the numbers of the following pair.144 : 168

Accepted Answer

The pattern is n^2 : (n+1)^2 - 1. For 144:168, it's 12^2 : (12+1)^2 - 1 = 144 : 13^2 - 1 = 144 : 169 - 1 = 144 : 168. Option 3 follows this: 11^2 : (11+1)^2 - 1 = 121 : 12^2 - 1 = 121 : 144 - 1 = 121 : 143.

Question 19

A person saves 28% of his income. If his income increases by 20% and the expenditure reduces by 5%, then his savings increase by x%. The value of x is closest to:

Accepted Answer

Assume income is 100. Savings = 28, Expenditure = 72. New income = 120. New expenditure = 72 * 0.95 = 68.4. New savings = 120 - 68.4 = 51.6. Percentage increase in savings = ((51.6 - 28) / 28) * 100 = 84.28%, closest to 84.5.

Question 20

Which of the following numbers will replace the question mark (?) in the given series?Select the number from among the given options that can replace the question mark (?) in the following series.68, 77, 89, 105, ?, 153

Accepted Answer

The differences between consecutive numbers are +9, +12, +16. The differences are increasing by +3, +4. So the next difference should be +21 (16+5). Thus, 105 + 21 = 126.