SSC MTS 2021 PYQs

Question 1

Five players, 'a', 'b', 'c', 'd' and 'e', scored some runs during a match.1. 'b' scored a half century, but did not score a century.2. 'd' scored more runs than 'c', but less runs than 'b'.3. 'a' scored 37 runs, which is less than 'c'.4. 'e' scored 29 runs more than 'd'.5. 'c' scored 21 runs less than 'b'.What is likely to be the score of 'e'?

Accepted Answer

From statement 1, b scored between 50 and 99. From statement 5, c = b - 21. From statement 2, d > c. From statement 4, e = d + 29. If b=50, c=29, d must be >29. If d=30, e=59. If b=51, c=30, d must be >30. If d=41, e=70. This is the only option.

Question 2

Which letter-cluster will replace the question mark (?) in the following letter-cluster series?VSP, NKH, FCZ, ?

Accepted Answer

The pattern involves subtracting 8 from the alphabetical position of each letter in the previous cluster. V(22)-8=N(14), S(19)-8=K(11), P(16)-8=H(8). Applying this to FCZ: F(6)-8=X(24), C(3)-8=U(21), Z(26)-8=R(18). Thus, XUR is the answer.

Question 3

The value of 48 ÷ [5 + {19 - (16 - 16 ÷ 4 × 3 of 2)}] is:

Accepted Answer

Follow BODMAS: first solve 'of', then division, multiplication, subtraction inside parentheses, then curly braces, square brackets, and finally the main division. The expression simplifies to 48 ÷ [5 + {19 - (16 - 24)}] = 48 ÷ [5 + {19 - (-8)}] = 48 ÷ [5 + 27] = 48 ÷ 32 = 3/2.

Question 4

Select the option in which the numbers are related in the same way as the numbers of the following set.46 : 82 : 154

Accepted Answer

The pattern is (x * 2 - 10), then (y * 2 - 10). For 46:82:154, 46*2-10=82 and 82*2-10=154. Option 2 follows this: 62*2-10=114 (not 116), 114*2-10=218 (not 224). Wait, the pattern is (x * 2 - 10) and (y * 2 - 10). Let's recheck. 46*2-10=82. 82*2-10=154. So the pattern is (x * 2 - 10) and (y * 2 - 10). For option 2: 62*2-10 = 114. 114*2-10 = 218. This is not correct. Let's re-evaluate the pattern. The difference between 82 and 46 is 36. The difference between 154 and 82 is 72. So the pattern is +36, +72. Let's check option 2: 116 - 62 = 54. 224 - 116 = 108. This is +54, +108. This is also a pattern where the second difference is double the first difference. So option 2 is correct.

Question 5

Which of the following letter-clusters will replace the question mark (?) in the given series?YTM, AQQ, CNU, ?, GHC

Accepted Answer

Analyze each letter's position in the alphabet. The first letter follows a +2, +2, +2 pattern (Y->A->C->E->G). The second letter follows a +2, +2, +2 pattern (T->Q->N->K->H). The third letter follows a -2, -2, -2 pattern (M->Q->U->Y->C). Thus, the missing cluster is EKY.

Question 6

Select the Venn diagram that best illustrates the relationship between the following classes.Doctors, Politicians, Men

Accepted Answer

Some doctors can be men, and some politicians can be men. Also, some doctors can be politicians. Thus, all three circles must partially overlap.

Question 7

Which of the following conclusions can be drawn on the basis of the given statements?Statement 1: Om is taller than Akash.Statement 2: Shraddha is not taller than Om.Statement 3: Pratiksha is shorter than Shraddha.

Accepted Answer

From statements, Om > Akash. Om >= Shraddha. Shraddha > Pratiksha. Combining these, Om > Shraddha > Pratiksha. Therefore, Pratiksha is shorter than Om.

Question 8

Which number will replace the question mark (?) in the following number series?128, 116, 126, 118, 124, ?

Accepted Answer

The series has two alternating patterns: 128, 126, 124 (decreasing by 2) and 116, 118, ? (increasing by 2). Following the second pattern, 118 + 2 = 120.

Question 9

Which letter cluster will replace the question mark (?) in the following letter series?TPM, IEB, XTQ, ?

Accepted Answer

The pattern involves adding +19, +19, +19 to the alphabetical positions of each letter in the series. T(20)+19=M(13), P(16)+19=I(9), M(13)+19=E(5). Applying this to XTQ gives M(13)I(9)F(6).

Question 10

Which two digits can be interchanged so as to balance the given equation?186 ÷ 17 + 104 - 12 × 3 = 16

Accepted Answer

Interchanging 8 and 3 in the equation gives 136 ÷ 17 + 104 - 12 × 8 = 8 + 104 - 96 = 112 - 96 = 16. This balances the equation.

Question 11

Select the Venn diagram that best illustrates the relationship between the following classes.Troposphere, Atmosphere, Mesosphere

Accepted Answer

The atmosphere contains the troposphere and mesosphere as distinct layers. Thus, both are subsets of the atmosphere, but separate from each other.

Question 12

In a row of boys, Karun is 5th from the left and Panth is 6th from right. When they exchange their position, Karun becomes 13th from the left . What is the new position of Panth from the right?

Accepted Answer

Karun moves from 5th to 13th, an 8-position shift. Panth, moving to Karun's original spot, will also shift 8 positions. So, Panth's new position is 6 + 8 = 14th from the right.

Question 13

If all the vowels are omitted from the alphabet, which letter will come at the 15th place?

Accepted Answer

The English alphabet has 26 letters. Vowels (A, E, I, O, U) are 5. Removing them leaves 21 consonants. Listing them and counting to the 15th position gives 'S'.

Question 14

In a certain code language, FEVERISH is coded as 29 and COUNSEL is coded as 98, then how will MUTATED be coded as in the same code language?

Accepted Answer

The code is the sum of the positional values of the letters, divided by the number of letters. For MUTATED, (13+21+20+1+20+5+4)/7 = 84/7 = 12. Then, 12 * 4 = 48.

Question 15

The monthly incomes of A and B are in the ratio 2 : 3, and the ratio of their savings is 3 : 4. If the income of A equals the savings of B, then the ratio of the expenditures of A and B is:

Accepted Answer

Let A's income be 2x, B's income 3x. Let A's savings be 3y, B's savings 4y. Given 2x = 4y, so x = 2y. Substitute x in incomes: A's income = 4y, B's income = 6y. Expenditures are (Income - Savings). A's expenditure = 4y - 3y = y. B's expenditure = 6y - 4y = 2y. Ratio is y : 2y = 1 : 2.

Question 16

In a certain code language, if IRONING is written as OWSQKOG, then how will SHERIFF be written in the same code language?

Accepted Answer

The pattern is +6, +5, +4, +3, +2, +1, +0 for each letter. Applying this to SHERIFF: S+6=Y, H+5=M, E+4=I, R+3=U, I+2=K, F+1=G, F+0=F. Thus, SHERIFF becomes YMIUKGF.

Question 17

Select the option that will replace the question mark (?) in the following figure series.

Accepted Answer

The pattern involves the inner shape moving to the outer position and the outer shape moving to the inner position, with both shapes rotating 90 degrees clockwise in each step.

Question 18

Eight friends P, Q, R, S, T, U, V and W are sitting in two lines, with four friends sitting in each line. Both the lines are facing north. The four persons in the back line are exactly behind the four persons in the front line. P is between T and W. Q is just behind T. Q, who is to the immediate left of S, is also at one of the corners in the back line. R is between S and U. Who is sitting between P and V?

Accepted Answer

Arrange the friends based on the given clues. Q is at a corner in the back line, left of S. T is in front of Q. P is between T and W. R is between S and U. This places W between P and V.

Question 19

Which of the following letter-clusters will replace the question mark (?) in the given series?HQMR, IRLQ, JSKP, KTJO, ?

Accepted Answer

Analyze each letter's progression: H+1=I, I+1=J, J+1=K, so K+1=L. Q+1=R, R+1=S, S+1=T, so T+1=U. M-1=L, L-1=K, K-1=J, so J-1=I. R-1=Q, Q-1=P, P-1=O, so O-1=N. Thus, the next term is LUIN.

Question 20

Select the option in which the numbers are NOT related in the same way as are the numbers of the following set.(192, 140, 252)

Accepted Answer

The pattern is (X, Y, Z) where Y = X - 52 and Z = X + 60. For the given set (192, 140, 252), 140 = 192 - 52 and 252 = 192 + 60. Option 3 (186, 134, 246) follows 134 = 186 - 52 and 246 = 186 + 60. All other options follow this pattern.