SSC MTS 2017 PYQs

Question 1

In a certain code language, "STROKE" is written as "HGILPV". How is "PLAZO" written in that code language?

Accepted Answer

Each letter in 'STROKE' is replaced by its opposite letter in the alphabet (A=Z, B=Y, etc.). Applying this pattern to 'PLAZO' gives KOZAL.

Question 2

In a certain code language, "SUN" is written as "108" and "MOON" is written as "114". How is "STAR" written in that code language?

Accepted Answer

The code sums the positional values of letters (A=1, B=2, etc.) and multiplies by 3. SUN = (19+21+14)*3 = 54*3 = 162. MOON = (13+15+15+14)*3 = 57*3 = 171. The question's values are incorrect. Assuming the pattern is sum of positional values, STAR = (19+20+1+18) = 58. The options suggest a different pattern. Let's re-evaluate. If SUN = 108, MOON = 114. The pattern is (sum of positional values + 1) * 2. SUN = (19+21+14+1)*2 = 55*2 = 110. MOON = (13+15+15+14+1)*2 = 58*2 = 116. This doesn't match. Let's try (sum of positional values) * 2. SUN = (19+21+14)*2 = 54*2 = 108. MOON = (13+15+15+14)*2 = 57*2 = 114. This matches! So, STAR = (19+20+1+18)*2 = 58*2 = 116.

Question 3

In a certain code language, "PARK" is written as "92" and "WALK" is written as "94". How is "LOSS" written in that code language?

Accepted Answer

Assign numerical values to letters (A=1, B=2,...). Sum the values for PARK (16+1+18+11=46) and multiply by 2 (46*2=92). Do the same for WALK (23+1+12+11=47) and multiply by 2 (47*2=94). For LOSS, sum (12+15+19+19=65) and multiply by 2 (65*2=130).

Question 4

In a certain code language, "ADD" is written as "8" and "SUB" is written as "41". How is "MUL" written in that code language?

Accepted Answer

The code uses the sum of the alphabetical positions of the letters. A=1, D=4, so ADD = 1+4+4 = 9. The code is (sum - 1). Thus, ADD = 9-1=8. Similarly, SUB = 19+21+2 = 42, so 42-1=41. For MUL, M=13, U=21, L=12. Sum = 13+21+12 = 46. Applying the rule, 46-1 = 45.

Question 5

In a certain code language, "PARK" is written as "TEVO". How is "TALK" written in that code language?

Accepted Answer

Each letter shifts by +4, +3, +4, +3 respectively. Applying this pattern to TALK: T(+4)=X, A(+3)=D, L(+4)=P, K(+3)=N. So, TALK becomes XDPN.

Question 6

In a certain code language, "ROAD" is written as "TREI". How is "SIGN" written in that code language?

Accepted Answer

The pattern is +2, +3, +4, +5 for each letter. R(+2)=T, O(+3)=R, A(+4)=E, D(+5)=I. Applying this to SIGN: S(+2)=U, I(+3)=L, G(+4)=K, N(+5)=S. So, SIGN becomes ULKS.

Question 7

In a certain code language,“BOOK”is written as“86”and“READ”is written as“56”.How will“GOOD”be written in that code language?

Accepted Answer

The code uses the sum of letter positions (A=1, B=2, etc.) multiplied by 2. BOOK = (2+15+15+11)*2 = 43*2 = 86. READ = (18+5+1+4)*2 = 28*2 = 56. Thus, GOOD = (7+15+15+4)*2 = 41*2 = 82.

Question 8

In a certain code language, "SOME" is written as "10645" and "BOYS" is written as "26710". How is "RUNS" written in that code language?

Accepted Answer

Each letter is coded by its position in the alphabet (A=1, B=2, etc.) multiplied by 2. S=19*2=38, O=15*2=30, M=13*2=26, E=5*2=10. The code is formed by concatenating these values. For RUNS: R=18*2=36, U=21*2=42, N=14*2=28, S=19*2=38. Concatenating gives 36422838.

Question 9

In a certain code language, "GOAT" is written as "45" and "COAT" is written as "41". How is "BOAT" written in that code language?

Accepted Answer

Assign numerical values to letters (A=1, B=2,...). Sum the values for each word. GOAT = 7+15+1+20 = 43. Add 2 to get 45. COAT = 3+15+1+20 = 39. Add 2 to get 41. Apply the same logic to BOAT: 2+15+1+20 = 38. Add 2 to get 40.

Question 10

In a certain code language, "FIT" is written as "33" and "FAT" is written as "25". How is "KIN" written in that code language?

Accepted Answer

The code sums the positional values of letters (F=6, I=9, T=20 -> 6+9+20=35, then 35-2=33). Similarly, FAT (6+1+20=27, then 27-2=25). For KIN (K=11, I=9, N=14 -> 11+9+14=34, then 34-2=32).

Question 11

What is the value of 12+ 22+ 32+ ……… + 142?

Accepted Answer

Use the formula for the sum of the first n squares: n(n+1)(2n+1)/6. For n=14, substitute and calculate: 14(15)(29)/6 = 7(5)(29) = 1015.

Question 12

If 432P1 is completely divisible by 9, then what is the value of P?

Accepted Answer

For a number to be divisible by 9, the sum of its digits must be divisible by 9. Sum of digits = 4+3+2+P+1 = 10+P. For 10+P to be divisible by 9, P must be 8 (10+8=18).

Question 13

What is the unit digit of 279 + 167 × 342?

Accepted Answer

First, find the unit digit of 167 × 342, which is 7 × 2 = 14, so 4. Then, add the unit digit of 279 (which is 9) to 4. The unit digit of 9 + 4 = 13 is 3.

Question 14

What is the value of 13+ 23+ 33+ ......... + 103?

Accepted Answer

Use the formula for the sum of the first n cubes: [n(n+1)/2]². For n=10, calculate [10(11)/2]² = [55]² = 3025.

Question 15

Which value among 2400, 3300 and 6200 is the largest?

Accepted Answer

Compare the numbers digit by digit from left to right. The number with the largest digit in the highest place value is the largest. Here, 6200 is the largest.

Question 16

What is the unit digit of 178 × 593 + 157?

Accepted Answer

To find the unit digit, consider only the unit digits of each number. (8 × 3) + 7 = 24 + 7 = 31. The unit digit of 31 is 1.

Question 17

What is the value of 11 + 12 + 13 + ……… + 35?

Accepted Answer

The sum of an arithmetic series is (n/2)*(first term + last term). Here, n = 35 - 11 + 1 = 25. So, sum = (25/2)*(11 + 35) = (25/2)*46 = 25*23 = 575.

Question 18

Which smallest number must be subtracted from 400, so that the resulting number is completely divisible by 7?

Accepted Answer

Divide 400 by 7. The remainder is 1. To make 400 divisible by 7, subtract this remainder from 400. So, 400 - 1 = 399, which is divisible by 7.

Question 19

For what value of N, 23N7 is completely divisible by 9?

Accepted Answer

For a number to be divisible by 9, the sum of its digits must be divisible by 9. Here, 2+3+N+7 = 12+N. For 12+N to be divisible by 9, N must be 6 (12+6=18).

Question 20

How many times the digit 7 appears in the number from 1 to 90?

Accepted Answer

Count 7s in units place (7, 17, ..., 87) which are 9 times. Count 7s in tens place (70, 71, ..., 79) which are 10 times. Total = 9 + 10 = 19.