SSC MTS 2021 PYQs

Question 1

If in a coding system STAMINA is coded as 74 and OCTOBER is coded as 75, then how will IMPOSING be coded in the same coding system?

Accepted Answer

The code is the sum of the alphabetical positions of each letter. S(19)+T(20)+A(1)+M(13)+I(9)+N(14)+A(1) = 77. However, the given code is 74, which is 77-3. Similarly, for OCTOBER, O(15)+C(3)+T(20)+O(15)+B(2)+E(5)+R(18) = 78. The given code is 75, which is 78-3. So, the pattern is (sum of alphabetical positions) - 3. For IMPOSING: I(9)+M(13)+P(16)+O(15)+S(19)+I(9)+N(14)+G(7) = 102. Applying the rule, 102 - 3 = 99.

Question 2

In a certain code language, 'DOSIER' is written as 'DEIORS' and 'LOGIC' is written as 'CGILO'. How will 'CORTEX' be written in that language?

Accepted Answer

The given code arranges the letters of the word in alphabetical order. Applying this rule to 'CORTEX', the letters arranged alphabetically become CEORTX.

Question 3

If T > H > K > L and V < K > Z = B, then which of the following conclusions isNOT correct?

Accepted Answer

From the given statements, we have T > H > K > L and V < K > Z = B. We can deduce T > L, V < K < T, and H > K > Z. However, K > Z and Z = B implies K > B, not K = B.

Question 4

In a certain code language, if MATERIAL is written as QDXHVLDP, then how will ONTOLOGY be written in the same code language?

Accepted Answer

The pattern is +3, -3, +3, -3... for each letter. Applying this to ONTOLOGY: O(+3)=R, N(-3)=K, T(+3)=W, O(-3)=L, L(+3)=O, O(-3)=L, G(+3)=J, Y(-3)=V. So, ONTOLOGY becomes RKWLOLJV.

Question 5

Which letter-cluster will replace the question mark (?) In the following series?QUESTION, USINETO, SNTIEO, NIOTE, ?

Accepted Answer

The pattern involves removing the first and last letters, then reversing the remaining sequence. Applying this to 'NIOTE' gives 'IOT' reversed, which is 'TOI'. However, the options suggest a different pattern. Let's re-examine. The pattern is: remove first and last letters, then reverse the remaining letters. QUESTION -> USINETO (Q and N removed, USIETO reversed). USINETO -> SNTIEO (U and O removed, SNTIE reversed). SNTIEO -> NIOTE (S and O removed, NITE reversed). NIOTE -> ITOE (N and E removed, IOT reversed).

Question 6

Eight members of a family – Archana, Suman, Dheeraj, Meghana, Bindu, Tilak, Rajan and Kiran are sitting in a straight line facing North. They have different ages – 12,17, 19, 22, 28, 31, 38 and 48 but not necessarily in the same order.Archana is sitting third to the right of the one who is 22 years old. Meghana and the one who is 22 years old are sitting together. One person is sitting between Kiran and one whose age is 48 years. The difference between the ages of Bindu and Kiran is 5 years. The one who is 10 years older than Meghana is sitting third to the right of Meghana. Rajan and Dheeraj are sitting together and one of them is sitting at the extreme end of the line. Dheeraj is 9 years older than Suman. Archana is sitting in the middle of Kiran and Tilak. Archana is 12 years younger than Dheeraj. Kiran is not 12 years old.Who is sitting third to the right of Meghana?

Accepted Answer

By systematically placing individuals based on given clues (ages, positions, differences), we deduce the final arrangement. Meghana's age is 12. The person 10 years older (22) is 3rd right of Meghana. Tilak is 3rd right of Meghana.

Question 7

Six friends, Abhishek, Apurva, Parth, Kiran, Onkar and Viraj, are sitting on the vertices of a regular hexagon and they are sitting facing the centre of the hexagon.1. Apurva is sitting between Onkar and Parth.2. Abhishek is sitting next to Onkar.3. Kiran is not exactly opposite to Apurva.Who is exactly opposite to Abhishek?

Accepted Answer

Place Apurva between Onkar and Parth. Abhishek is next to Onkar. Kiran is not opposite Apurva. Deduce the remaining positions. Parth will be opposite Abhishek.

Question 8

Select the alternative which has the same relation to the word with an arrow as the second word is to the first word.Villain: Hero:: Devil:?

Accepted Answer

The relationship between 'Villain' and 'Hero' is that they are antonyms. Similarly, the antonym for 'Devil' is 'Angel'.

Question 9

By selling an article for Rs. 820, Abhi loses 18%. To gain 25.5%, he should sell it for:

Accepted Answer

First, find the cost price (CP) using the selling price (SP) and loss percentage. Then, calculate the new SP by adding the desired profit percentage to the CP.

Question 10

Which number will replace the question mark (?) in the following number series?4, 6, 9, 14, 23, 40, ?

Accepted Answer

The pattern is that the difference between consecutive numbers increases by 2 each time: +2, +3, +5, +9, +17. The next difference should be +33 (17*2 - 1). So, 40 + 33 = 73.

Question 11

In a certain code language, 'ROSTED' is written as '91282054' and 'MYSTIC' is written as '14282093'. How will 'FLARED' be written in that language?

Accepted Answer

The pattern is: each letter is replaced by its reverse alphabetical position (A=26, B=25... Z=1). For 'FLARED', F=21, L=15, A=26, R=9, E=22, D=23. Concatenating these gives 21152692223. Wait, the example is different. Let's re-examine. The pattern is: each letter is replaced by its reverse alphabetical position (A=26, B=25... Z=1) for the first three letters, and then the actual alphabetical position for the last three letters. For 'ROSTED', R=9, O=12, S=8, T=20, E=5, D=4. This matches 91282054. For 'MYSTIC', M=14, Y=2, S=8, T=20, I=9, C=3. This matches 14282093. So for 'FLARED', F=21, L=15, A=26, R=18, E=5, D=4. Concatenating these gives 2115261854.

Question 12

Which letter-cluster will replace the question mark (?) in the following series?HEA, JGC, LIE, ?

Accepted Answer

Analyze each letter's progression: H (+2) J (+2) L (+2) N. E (+2) G (+2) I (+2) K. A (+2) C (+2) E (+2) G. Thus, the next cluster is NKG.

Question 13

Three statements are followed by three conclusions numbered I, Il and Ill. Assuming the statements to be true even if they do not conform to real-world knowledge, decide which of the conclusions logically follows/follow from the statements.Statements:1. All watches are clocks.2. Some clocks are machines.3. Some machines are gadgets.Conclusions:I. Some watches are machines.Il. Some machines are clocks.Ill. Some gadgets being clocks is a possibility.

Accepted Answer

From statement 2, 'Some clocks are machines', conclusion II 'Some machines are clocks' directly follows. For conclusion III, 'Some gadgets being clocks is a possibility' is true because there's no direct negative relation between gadgets and clocks.

Question 14

Select the letter that will replace the question mark (?) in the given series.E, G, L, V, ?

Accepted Answer

The pattern is based on the sum of alphabetical positions. E(5) + G(7) = 12 (L). G(7) + L(12) = 19 (S). L(12) + V(22) = 34. Since there are 26 letters, 34 - 26 = 8 (H). Wait, the correct answer is M. Let's re-evaluate. E(5) + G(7) = 12 (L). G(7) + L(12) = 19 (S). L(12) + S(19) = 31 (E). This is not the pattern. Let's try another pattern. E=5, G=7, L=12, V=22. The differences are +2, +5, +10. The differences of differences are +3, +5. The next difference of difference should be +7. So, the next difference should be +17. 22 + 17 = 39. 39 - 26 = 13 (M).

Question 15

What least number must be subtracted from 2963 so that the resulting number when divided by 9, 10 and 15, the remainder in each case is 5?

Accepted Answer

Find the LCM of 9, 10, 15, which is 90. The number should be of the form 90k + 5. Divide 2963 by 90, remainder is 83. To get remainder 5, subtract 83 - 5 = 78.

Question 16

If - is interchanged with ÷ and + is interchanged with ×, then which of the following equations is correct?

Accepted Answer

Interchange the symbols as given: - with ÷ and + with ×. Then apply BODMAS to each option. Option 1 becomes 32 ÷ 21 × 9 + 184 - 8, which evaluates to 198.

Question 17

Study the given pattern carefully and select the number that can replace the question mark (?) in it.44528580550332109655441?

Accepted Answer

The pattern involves subtracting the sum of digits of the previous number from the number itself. For 41, sum of digits is 4+1=5. So, 41-5 = 36. The question has a typo, it should be 36, not 107.

Question 18

Five salesmen A, B, C, D and E are sitting in a meeting around a circular table. A is to the immediate left to E. C is to the immediate left of B. D is sitting between B and A. Who is sitting at the second place to the right of E?

Accepted Answer

Arrange the salesmen: A is left of E (E-A). D is between B and A (B-D-A). C is left of B (C-B). Combining, the order is E-A-D-B-C. Second to the right of E is D, then B.

Question 19

Which of the following numbers will replace the question mark (?) in the given series?21, 26, 41, 76, 141, ?

Accepted Answer

The differences between consecutive terms are 5, 15, 35, 65. The second differences are 10, 20, 30. The next second difference is 40, making the next first difference 65+40=105. So, 141+105=246.

Question 20

The Coordinator of an International Virtual Conference has planned six guest lectures on different areas-Cryptography, Fluid Dynamics, Big Data Analysis, Wavelet Theory, Differential Equations and Linear Algebra-to be organised only one on each day from Monday to Sunday.Wavelet Theory should be organised immediately after Differential Equations.Big Data Analysis should be organised on Wednesday and should not be followed by Linear Algebra.Fluid Dynamics should be organised on Friday and there should be a gap of two days between Cryptography and Linear Algebra.One day there will be no lecture (Saturday is not that day), and just before that day Linear Algebra will be organised.How many lectures are organised between Big Data Analysis and Wavelet Theory?

Accepted Answer

By systematically placing lectures based on given conditions, we deduce the full schedule. Big Data is on Wednesday. Linear Algebra is on Thursday (before the no-lecture day, which is Sunday). Wavelet Theory is on Saturday. Counting lectures between Wednesday and Saturday gives three.