number system Model Questions & Answers, Practice Test for ssc cgl tier 1 2024

Question :1

What is 184 times 156?

Answer: (c)

Required product = 184 × 156 = 28704

Question :2

Twice the square of a number is six times the other number. What is the ratio of the first number to the second ?

Answer: (d)

Suppose first and second number is x and y.

$2x^2 = 6y$ ⇒ $x^2 = 3y$

Ratio cannot be determined.

Question :3

If n is a natural number, then $√n$ is

Answer: (d)

If n is a natural number, then $√n$ is either a natural number or an irrational number.

e.g., when n = 3 ⇒ $√3$ = Irrational number

When n = 9 ⇒ $√9$ = 3 = Rational number

Question :4

Let x denote the greatest 4-digit number which when divided by 6, 7, 8, 9 and 10 leaves a remainder of 4, 5, 6 7 and 8 respectively. Then, the sum of the four-digits of x is and 8 respectively. Then, the sum of the four-digits of x is

Answer: (c)

The number will be a multiple of 6, 7, 8, 9, 10

LCM of 6, 7, 8, 9, 10 = 2520

∴ Largest 4-digit number divided by this = 7560

∴ Required number = 7558

Sum of the digits of this number = 25

Question :5

The product of two consecutive odd numbers is 1763. What is the larger number?

Answer: (c)

From the given alternatives,

1763 = 43 × 41

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