Basic Simplification Quiz Set 014

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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.


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Creative Commons License
This Blog Post/Article "Basic Simplification Quiz Set 014" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.

Posted by Parveen(Hoven),
Aptitude Trainer


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