# Basic Simplification Quiz Set 014

### Question 1

What is 304 × 25?

A

7600.

B

7605.

C

7595.

D

7610.

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: \$30400/4\$ = 7600.

### Question 2

A piece of length \$16{3/38}\$ is cut out of a pipe of length \$38{3/16}\$. What is the length of the remaining pipe?

A

\$22{33/304}\$.

B

\$23{56/303}\$.

C

\$20{33/34}\$.

D

\$24{17/18}\$.

Soln.
Ans: a

We have to find \$38{3/16}\$ - \$16{3/38}\$, which is same as \${611/16}\$ - \${611/38}\$ = 611 × \${38 - 16}/{38 × 16}\$ = \${6721/304}\$. So \${6721/304}\$, which is same as: \$22{33/304}\$ is the required answer.

### Question 3

What is 277 × 9?

A

2493.

B

2502.

C

2484.

D

2511.

Soln.
Ans: a

This is a multiplication by 9. Proceed like this: 277 × 9 = 277 × (10 - 1) = 277 × 10 - 277 = 2770 - 277 = 2493. 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 4

Mr. X and Mr. Y have certain number of marbles with them. If Mr. X gives 2 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

16.

B

18.

C

14.

D

20.

Soln.
Ans: a

Let them have X and Y marbles, respectively. We have X - 2 = Y + 2, which gives X - Y = 4. By the second condition, X + 4 = 2(Y - 4), which can be re-arranged to X - 2Y = -12. Solving for Y, we get Y = 16.

### Question 5

A piece of length \$13{1/11}\$ is cut out of a pipe of length \$33{3/13}\$. What is the length of the remaining pipe?

A

\$20{20/143}\$.

B

\$21{41/142}\$.

C

\$18{127/145}\$.

D

\$22{119/145}\$.

Soln.
Ans: a

We have to find \$33{3/13}\$ - \$13{1/11}\$, which is same as \${432/13}\$ - \${144/11}\$ = 432 × \${11 - 13}/{11 × 13}\$ = \${2880/143}\$. So \${2880/143}\$, which is same as: \$20{20/143}\$ is the required answer. 