# Basic Simplification Quiz Set 019

### Question 1

What is 172 + 153 - 1 × 1185 ÷ 395?

A

322.

B

323.

C

321.

D

324.

Soln.
Ans: a

We have by bodmas 172 + 153 - 1 × 1185 ÷ 395 = 172 + 153 - (1 × (1185 ÷ 395)) = (172 + 153) - (1 × (3)) = (172 + 153) - 3 = 325 - 3 = 322.

### Question 2

The value of x for which the value of |2x - 6| is minimum is?

A

3.

B

5.

C

9.

D

7.

Soln.
Ans: a

The minimum value of |2x - 6| is 0. So 2x - 6 = 0, when x = 3.

### Question 3

A bag contains equal number of coins each of Rs. 1, 5 and 10. What is the total number of coins in the bag, if the total money is Rs. 416?

A

78.

B

26.

C

76.

D

82.

Soln.
Ans: a

Let there be N coins of each denomination. Then N × (1 + 5 + 10) = 416, which gives N = \$416/16\$, and 3N = 3 × \$416/16\$ = 78.

### Question 4

The maximum value of the expression 63 - |x - 7| is?

A

63.

B

65.

C

61.

D

67.

Soln.
Ans: a

The maximum occurs when the value of |x - 7| is the lowest, which is 0, so the maximum value is 63.

### Question 5

What is 469 × 25?

A

11725.

B

11730.

C

11720.

D

11735.

Soln.
Ans: a

This is a multiplication by a power of 5. The best way is to observe that 25 = 52. There are 2 powers of 5. So append 2 zeroes and divide by 22, like this: \$46900/4\$ = 11725. 