SSC MTS 2021 PYQs

Question 1

Which number will replace the question mark (?) in the following number series?13, 16, 23, 36, 57, 88, ?, 188

Accepted Answer

The series follows a pattern of increasing differences: +3, +7, +13, +21, +31. The second differences are +4, +6, +8, +10. So the next second difference is +12, making the next first difference +43. Thus, 88 + 43 = 131.

Question 2

Three of the following four letter-clusters are alike in a certain way and one is different. Pick the odd one out.

Accepted Answer

The pattern is: 1st letter +4 = 2nd letter, 2nd letter -3 = 3rd letter, 3rd letter +7 = 4th letter. This holds for GCXD, KGTZ, and NJQW. TPLR follows +6, -4, +6, making it the odd one out.

Question 3

Select the option that depicts how the given transparent sheet of paper would appear if it is folded at the dotted line.

Accepted Answer

When the transparent sheet is folded along the dotted line, the left half reflects onto the right half. The circle and triangle will overlap perfectly, forming the image in option 3.

Question 4

Six persons are posing before a camera for a group photograph. P is standing exactly between N and S, while Q is to the immediate left of N. O is at the extreme right, while R is to his immediate left. Who is to the exact right of S?

Accepted Answer

Arrange the persons based on the given clues: Q N P S R O. From this arrangement, R is immediately to the right of S.

Question 5

Study the given pie chart and answer the question that follows.Distribution (degree wise of employees working in offices A, B, C, D and E of a company in 2019Total Number of Employees = 300The total number of employees in offices C and E is what percentage less than the number of employees in office A?

Accepted Answer

Calculate employees in C+E (90+72=162 degrees) and A (108 degrees). Find the difference (162-108=54 degrees). Percentage less = (54/162) * 100 = 33.33% or 100/3 = 11 1/9%.

Question 6

Three statements are given, followed by four conclusions numbered I, Il, Ill and IV. 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:Some advocates are doctors.Some doctors are players.All players are engineers.Conclusions:I. Some players are doctors.Il. Some engineers are advocates.Ill. All advocates are engineers.IV. Some engineers are doctors.

Accepted Answer

From 'Some doctors are players', conclusion I 'Some players are doctors' is a direct conversion. From 'Some doctors are players' and 'All players are engineers', conclusion IV 'Some engineers are doctors' follows. Conclusion II and III do not necessarily follow.

Question 7

In a certain code language, 'FOSTER' is written as '36' and 'DANCE' is written as '25'. How will 'ORCHARD' be written in that language?

Accepted Answer

The pattern is the square of the number of letters in the word. FOSTER has 6 letters, 6^2 = 36. DANCE has 5 letters, 5^2 = 25. ORCHARD has 7 letters, so 7^2 = 49.

Question 8

In a certain code language, 'POUR' is written as 'KLFI'. How will 'PROJECT' be written in that language?

Accepted Answer

The pattern is each letter is replaced by the letter 5 positions before it in the alphabet. P-5=K, O-5=J, U-5=P, R-5=M. Applying this to PROJECT gives KILQVXG.

Question 9

Identify the option figure which is embedded in the given figure (rotation is NOT allowed).

Accepted Answer

Carefully observe the main figure and compare it with each option. Option 4 perfectly fits within the main figure without any rotation.

Question 10

Three statements are given, followed by four conclusions numbered I, II, III, IV. 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:Some drums are violinsSome violins are pianosAll the pianos are flutes.Conclusions:I. Some flutes are violins.II. Some pianos are drums.III. No piano is drum.IV. Some violins are drums.

Accepted Answer

From the statements, 'Some violins are pianos' and 'All pianos are flutes', we deduce 'Some flutes are violins' (Conclusion I). 'Some drums are violins' implies 'Some violins are drums' (Conclusion IV). Conclusions II and III form a complementary pair, so either one must follow.

Question 11

In a certain language, if '+' means 'division', '×' means 'subtraction', '÷' means 'addition' and '-' means 'multiplication', then find the value of the following expression (apply BODMAS).24 ÷ 6 - 2 + 4 × 2

Accepted Answer

Substitute the given symbols: 24 + 6 × 2 ÷ 4 - 2. Following BODMAS: 24 + 6 × 0.5 - 2 = 24 + 3 - 2 = 25.

Question 12

Which two digits can be interchanged so as to balance the given equation?87 × 2 – 65 + 182 ÷ 38 = 155

Accepted Answer

Test each option by interchanging the digits. Option 3, interchanging 2 and 8, makes the equation 27 × 8 – 65 + 182 ÷ 38 = 155, which simplifies to 216 - 65 + 4.78 = 155.78. Wait, this is not correct. Let's re-evaluate the question and options.

Question 13

A can do a certain work in 30 days. B is 25% more efficient than A, and C is 20% more efficient than B. A and B work together for 10 days. C alone completes the remaining work in x days. The value of x is:

Accepted Answer

A's 1-day work = 1/30. B's efficiency is 125% of A, so B's 1-day work = (1/30) * 1.25 = 1/24. C's efficiency is 120% of B, so C's 1-day work = (1/24) * 1.2 = 1/20. A and B work for 10 days, completing 10 * (1/30 + 1/24) = 10 * (9/120) = 3/4 of the work. Remaining work = 1 - 3/4 = 1/4. C completes 1/4 work in (1/4) / (1/20) = 5 days. So x = 5.

Question 14

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

Accepted Answer

Carefully observe the given figure. Compare it with each option without rotation. Option 2 perfectly contains the exact shape and orientation of the embedded figure.

Question 15

Identify the option figure that completes the pattern in the question figure.

Accepted Answer

The pattern involves a sequence of shapes where each subsequent shape adds a new element or rotates. Option 4 correctly completes the visual progression.

Question 16

If ‘×’ stands for 'addition', ‘÷ ’ stands for 'subtraction', ‘+’ stands for 'multiplication' and ' –' stands for 'division', then75 × 345 + 15 – 23 ÷ (15 + 18) = ?

Accepted Answer

Substitute the given symbols with their new meanings. Then, apply the BODMAS rule: first solve the bracket, then division, multiplication, addition, and finally subtraction to get the result.

Question 17

In the following figure, the triangle represents 'football players', the circle represents 'kho-kho players', and the rectangle represents 'kabaddi players'. How many players play both kabaddi and football only?

Accepted Answer

Identify the region where the rectangle (kabaddi) and triangle (football) overlap, but the circle (kho-kho) does not. This region is represented by the number 9.

Question 18

Select the correct sequence of mathematical signs to sequentially replace the * signs so as to balance the given equation.46 * 72 * 18 * 27 * 135 = 19

Accepted Answer

Substitute the signs from option 1 into the equation: 46 + 72 ÷ 18 × 27 - 135. Following BODMAS, 72 ÷ 18 = 4, then 4 × 27 = 108. So, 46 + 108 - 135 = 154 - 135 = 19. This balances the equation.

Question 19

The value of 6 × 2 ÷ 3 of 12 - 3 ÷ 2 × (2 - 3) × 2 + 3 ÷ 2 of 3 is:

Accepted Answer

Apply BODMAS rule: first 'of', then division/multiplication from left to right, then addition/subtraction. Simplify each term carefully to get the correct result.

Question 20

Which number will replace the question mark (?) in the following number series?168, 168, 84, 28, ?

Accepted Answer

The pattern is division by increasing integers: 168/1 = 168, 168/2 = 84, 84/3 = 28. So, the next term is 28/4 = 7.