# Basic Simplification Quiz Set 009

### Question 1

What is 488 × 99?

A

48312.

B

48321.

C

48303.

D

48330.

Soln.
Ans: a

This is a multiplication by a number that contains 9 only. Proceed like this: 488 × 99 = 488 × (100 - 1) = 488 × 100 - 488 = 48800 - 488 = 48312.

### Question 2

What is 532 × 25?

A

13300.

B

13305.

C

13295.

D

13310.

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: \$53200/4\$ = 13300.

### Question 3

Mr. X and Mr. Y have certain number of marbles with them. If Mr. X gives 3 marbles to Mr. Y, they will have the same number of marbles. But, if Mr. Y gives 4 marbles to Mr. X, then Mr. X will have twice as many marbles as are left with Mr. Y. How many marbles does Y have?

A

18.

B

20.

C

16.

D

22.

Soln.
Ans: a

Let them have X and Y marbles, respectively. We have X - 3 = Y + 3, which gives X - Y = 6. By the second condition, X + 4 = 2(Y - 4), which can be re-arranged to X - 2Y = -12. Solving for Y, we get Y = 18.

### Question 4

A salesman is on a tour and has Rs. 300 for his expenses. If he exceeds his tour by 5 days, then he has to cut down his daily expenses by Rs. 10. What is the duration of his tour?

A

10 days.

B

12 days.

C

8 days.

D

14 days.

Soln.
Ans: a

Let the duration be x days. We have \$300/x\$ - \$300/{x + 5}\$ = 10. This equation can now be solved, or you can try substituting the options one by one, to obtain x = 10 days.

### Question 5

What is 335 × 9999?

A

3349665.

B

3349674.

C

3349656.

D

3349683.

Soln.
Ans: a

This is a multiplication by a number that contains 9 only. Proceed like this: 335 × 9999 = 335 × (10000 - 1) = 335 × 10000 - 335 = 3350000 - 335 = 3349665. 