﻿ TET Important Questions of Numbers System | Zigya

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## Numbers System

#### Multiple Choice Questions

1.

If ${\left(\frac{5}{7}\right)}^{4}×{\left(\frac{5}{7}\right)}^{-3}={\left(\frac{5}{7}\right)}^{5x-2}$ ,then x is equal to

• $\frac{2}{5}$

• $\frac{3}{5}$

• $\frac{4}{5}$

• $\frac{1}{5}$

2.

Find the square root of(272)2- (128)2.

• 200

• 240

• 256

• 144

3.

The polynomial ax3 + bx2 + x - 6 has (x+ 2) as a factor and leaves remainder 4 when divided by (x-2) Find the value of a and b.

• a=2,b=0

• a=1,b=1

• a=0,b=2

• a=7,b=5

4.

A non-terminating but recurring decimal is

• an integer

• a natural number

• a rational number

• an irrational number

5.

If 0 < x < l, then it is true that

• x100 > x101

• x100 > 1

• x100 < x101

• x101> 1

6.

The smallest number, which multiply to 33275 to get a perfect cube, is

• 3

• 5

• 2

• 6

7.

If HCF of (p2- 8p + 12) and (p2 + 4p -12) is (p-a), then the value of a is

• -6

• 2

• -2

• 6

8.

The factors of polynomial x3- 6x2 + 11x - 6 are

• (x+1)(x+2)(x-3)

• (x-1)(x+2)(x-3)

• (x-1)(x-2)(x-3)

• (x-1)(x-2)(x+3)

9.

If ${3}^{2\mathrm{x}+1}-{3}^{\mathrm{x}}={3}^{2}$ , then the values of x are

• 1,-2

• -1,-2

• 0,1

• 2,-1

10.

If a, a + 2, a + 4 are prime numbers, then the number of values of a is

• One

• two

• three

• more than three