# Basic Simplification Quiz Set 007

### Question 1

A candidate attempts 134 questions and gets a score of 176. How many questions did he attempt wrongly, if 4 marks are awarded for a correct answer, and 1 is deducted for a wrong answer?

A

72.

B

73.

C

71.

D

74.

Soln.
Ans: a

Had he attempted all correctly, he would have got 134 × 4 = 536. But he has lost 536 - 176 = 360 marks due to wrong attempts. Each wrong attempt leads to an overall loss of 5 marks, so the number of wrong attempts is 360/5 = 72.

### Question 2

What is xy if x - y = 18 and x2 + y2 = 448?

A

62.

B

64.

C

60.

D

66.

Soln.
Ans: a

We know that 2xy = (x2 + y2) - (x - y)2. Substituting, xy = \${448 - 18^2}/2\$ = \$124/2\$ = 62.

### Question 3

What is -143 + (-109) - (-466) + 148?

A

362.

B

363.

C

361.

D

364.

Soln.
Ans: a

We have -143 + (-109) - (-466) + 148 = -143 - 109 + 466 + 148 = -(143 + 109) + (466 + 148) = -252 + 614 = 362.

### 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 8 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

28.

B

30.

C

26.

D

32.

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 + 8 = 2(Y - 8), which can be re-arranged to X - 2Y = -24. Solving for Y, we get Y = 28.

### Question 5

What is xy if x - y = 2 and x2 + y2 = 584?

A

290.

B

292.

C

288.

D

294.

Soln.
Ans: a

We know that 2xy = (x2 + y2) - (x - y)2. Substituting, xy = \${584 - 2^2}/2\$ = \$580/2\$ = 290.

Updated on 2020-02-07. Published on: 2016-05-13

Posted by Parveen(Hoven),
Aptitude Trainer