Basic Simplification Quiz Set 011

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Question 1

Mr. X and Mr. Y have certain number of marbles with them. If Mr. X gives 7 marbles to Mr. Y, they will have the same number of marbles. But, if Mr. Y gives 2 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

20.

 B

22.

 C

18.

 D

24.

Soln.
Ans: a

Let them have X and Y marbles, respectively. We have X - 7 = Y + 7, which gives X - Y = 14. By the second condition, X + 2 = 2(Y - 2), which can be re-arranged to X - 2Y = -6. Solving for Y, we get Y = 20.


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

What is xy if x - y = 6 and x2 + y2 = 362?

 A

163.

 B

165.

 C

161.

 D

167.

Soln.
Ans: a

We know that 2xy = (x2 + y2) - (x - y)2. Substituting, xy = ${362 - 6^2}/2$ = $326/2$ = 163.


Question 4

What is 283 + 564 - 1 × 1659 ÷ 553?

 A

844.

 B

845.

 C

843.

 D

846.

Soln.
Ans: a

We have by bodmas 283 + 564 - 1 × 1659 ÷ 553 = 283 + 564 - (1 × (1659 ÷ 553)) = (283 + 564) - (1 × (3)) = (283 + 564) - 3 = 847 - 3 = 844.


Question 5

What is xy if x - y = 8 and x2 + y2 = 284?

 A

110.

 B

112.

 C

108.

 D

114.

Soln.
Ans: a

We know that 2xy = (x2 + y2) - (x - y)2. Substituting, xy = ${284 - 8^2}/2$ = $220/2$ = 110.


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This Blog Post/Article "Basic Simplification Quiz Set 011" 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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