model 1 basic number system Practice Questions Answers Test with Solutions & More Shortcuts

Question : 6

The number $√3$ is

a) a finite decimal

b) an infinite recurring decimal

c) equal to 1.732

d) an infinite non-recurring decimal

Answer: (d)

Question : 7

There are just two ways in which 5 may be expressed as the sum of two different positive (non-zero) integers, namely 5 = 4 + 1 = 3 + 2. In how many ways, 9 can be expressed as the sum of two different positive (non-zero) integers?

a) 3

b) 4

c) 5

d) 6

Answer: (b)

9 = 1+8 = 2+7 = 3+6 = 4+5

So it can be expressed in 4 ways

Question : 8

P and Q are two positive integers such that PQ = 64. Which of the following cannot be the value of P + Q?

a) 16

b) 20

c) 35

d) 65

Answer: (c)

The possible combinations of (P, Q)

So that the product is 64 are 

(1, 64), (2, 32), (4, 16) and (8, 8)

∴ P+Q cannot be 35

Question : 9

If n is an integer between 20 and 80, then any of the following could be n+7 except

a) 47

b) 58

c) 84

d) 88

Answer: (d)

Given, 20 < n < 80

Now n + 7 = ?

20 + 7 < n + 7 < 80 + 7 

i.e., 27 < n + 7 < 87

∴ 88 does not lies between 27 to 87.

Question : 10

If x, y, z be the digits of a number beginning from the left, the number is

a) xyz

b) x + 10y + 100z

c) 10x + y + 100z

d) 100x + 10y + z

Answer: (d)

In this problem, the digits of the number from the left are x, y and z respectively.

So, x is at hundreds places, y is at tens place and z is at ones place.

Thus, the required number be

= (100×x) + (10×y) + (1×z)

= (100x + 10y + z)

IMPORTANT quantitative aptitude EXERCISES

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