Basic Simplification Quiz Set 001

Question 1

What is 146 × 9?

A

1314.

B

1323.

C

1305.

D

1332.

Soln.
Ans: a

This is a multiplication by 9. Proceed like this: 146 × 9 = 146 × (10 - 1) = 146 × 10 - 146 = 1460 - 146 = 1314. Sometimes, the options can be ruled out by examining the units places, but for simpler cases these shortcuts will help you save time overall.

Question 2

The sum of solutions of |x - 3| = 88 is?

A

6.

B

8.

C

4.

D

10.

Soln.
Ans: a

x - 3 = +88, so x = 88 + 3 = 91 is one solution, and we can also have x - 3 = -88, which gives x = 3 - 88 = -85. The sum is 91 + (-85) = 6.

Question 3

What is 122 + 345 - 1 × 1116 ÷ 372?

A

464.

B

465.

C

463.

D

466.

Soln.
Ans: a

We have by bodmas 122 + 345 - 1 × 1116 ÷ 372 = 122 + 345 - (1 × (1116 ÷ 372)) = (122 + 345) - (1 × (3)) = (122 + 345) - 3 = 467 - 3 = 464.

Question 4

The maximum value of the expression 68 - |x - 7| is?

A

68.

B

70.

C

66.

D

72.

Soln.
Ans: a

The maximum occurs when the value of |x - 7| is the lowest, which is 0, so the maximum value is 68.

Question 5

Cost of 1 kg of a metal is Rs. \$21{1/2}\$. What is the cost of \${42/43}\$ kg?

A

Rs. 21.

B

Rs. 22.

C

Rs. 20.

D

Rs. 23.

Soln.
Ans: a

We have to find \$21{1/2}\$ × \${42/43}\$, which can be written as \${43/2}\$ × \${42/43}\$, which simplifies to 42/2 = Rs. 21. This Blog Post/Article "Basic Simplification Quiz Set 001" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.