mathematical operation Model Questions & Answers, Practice Test for ssc mts paper 1 2023

Question :21

In the following questions which one of the four interchanges in signs and numbers would make the given equation correct ? (3 ÷ 4) + 2 = 2

Answer: (c)

On interchanging + and ÷ and 2 and 3, we get the equations as (2 + 4) ÷ 3 = 2 or 6 ÷ 3 = 2 or 2 = 2, which is true.

Directions:

In each of the following questions, three statements of numbers following same rules are given. Find the rule and accordingly find the value of the number?

Question :22

If 3 + 9 = 31; 15 + 12 = 45; 18 + 9 = 36, then 12 + 27 = ?

Answer: (c)

The rule is: Divide each number by 3 and write the quotients in the reverse order.

$3/3 + 9/3 = 13 ⇒ 31; 15/3 + 12/3 = 45;$

$18 + 9 = 18/3 + 9/3 = 63 ⇒ 36$ etc.

∴ $12/3 + 27/3$ = 49 ⇒ 94.

Question :23

If 213 = 419; 322 = 924; 415 = 16125, then 215 = ?

Answer: (b)

The rule is: 2 1 3 = $2^2 1 3^2 = 4 1 9; 3 2 2 = 3^2 2 2^2 = 924;$

$415 = 4^2 1 5^2 = 16 1 25$

∴ 2 1 5 = $2^2 1 5^2$ = 4 1 25

Question :24

If 43 = 158; 35 = 824; 42 = 153; then 32 = ?

Answer: (a)

The rule is: a b = $a^2 – 1. b^2$ – 1

43 = $4^2 – 1. 3^2 – 1 = 158;$

35 = $3^2 – 1.5^2 – 1 = 824$

42 = $4^2 – 1.2^2 – 1 = 153$

∴ 32 = $3^2 – 1.2^2$ – 1 = 83

Question :25

If 7*3 = 52; 9*5 = 86; 3*4 = 13, then 5*7 = ?

Answer: (d)

The rule is: a * b = $a^2 + b$

7 * 3 = 49 + 3 = 52 etc.

∴ 5 * 7 = 25 + 7 = 32

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