Problems on Numbers Quiz Set 009

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Question 1

The sum of three consecutive even integer numbers is -2274. The middle among the three is?

 A

-758.

 B

-757.

 C

-755.

 D

-756.

Soln.
Ans: a

Let the numbers be 2n - 2, 2n and 2n + 2. The sum is 6n = 3 x 2n = 3 x middle. We are given 3 x middle = -2274, ⇒ middle = $-2274/3$, i.e., middle = -758.


Question 2

12 times the middle of three consecutive even numbers is 152 more than 8 times the smallest of the three numbers. What is the middle number?

 A

34.

 B

35.

 C

33.

 D

36.

Soln.
Ans: a

This is the general solution. Let the numbers be 2n - 2, 2n and 2n + 2. We are given 12 × 2n = 152 + 8 × (2n - 2).
⇒ 12 × 2n = 152 + 8 × 2n - 8 × 2.
⇒ 2n × (12 - 8) = 152 - 8 × 2, so 2n = ${152 - 8 × 2}/{12 - 8} = 34$


Question 3

How many odd numbers are there between -1714 and 2242?

 A

1978.

 B

1979.

 C

1977.

 D

1980.

Soln.
Ans: a

Odd numbers are in an AP. First term $a = -1713$, common difference $d = 2$, the last term $t_n$ is given as 2241. By the AP formula, $2241 = -1713 + (n - 1) × 2$ ⇒ $n = 1 + {{2241 - (-1713)}/2} = 1978$.


Question 4

What is 0.99999999...?

 A

$1/1$.

 B

$2/1$.

 C

$1/2$.

 D

$1/3$.

Soln.
Ans: a

0.99999999... is same as $0.\ov 99$. Let y = $0.\ov 99$. Multiply by 100, 100y = 99 + $0.\ov 99$ which is same as 99 + y. So 99y = 99, ⇒ y = $99/99$. So answer = 1.


Question 5

If $6/17$ of a number is 24, what is the number?

 A

68.

 B

69.

 C

67.

 D

70.

Soln.
Ans: a

Let the number be N. Then ${6/17}$ x N = 24. ⇒ N = 24 x ${17/6}$ = 68


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This Blog Post/Article "Problems on Numbers Quiz Set 009" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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