Problems on Numbers Quiz Set 006

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Question 1

The sum of two numbers is 53. Their difference is 15. They are in the ratio?

 A

$1{15/19}$.

 B

$2{17/18}$.

 C

${5/7}$.

 D

$4{1/3}$.

Soln.
Ans: a

Let the numbers be a and b, and let their ratio be k such that $a/b = k$. We are given $a + b = 53$ ⇒ $b(k + 1) = 53$. Similarly, from the difference we can obtain $b(k - 1) = 15$. Dividing we get ${k + 1}/{k - 1} = 53/15$. By componendo and dividendo, $k = {53 + 15}/{53 - 15}$ = ${34/19}$, which is same as: $1{15/19}$.


Question 2

The sum of three consecutive odd integer numbers is -2211. The middle among the three is?

 A

-737.

 B

-736.

 C

-734.

 D

-735.

Soln.
Ans: a

Let the numbers be 2n - 3, 2n - 1 and 2n + 1. The sum is 3(2n - 1) = 3 x middle. We are given 3 x middle = -2211, ⇒ middle = $-2211/3$, i.e., middle = -737.


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

If  $x/7 = y/19 = z/24$, then ${x + y + z}/x$ = ?

 A

$7{1/7}$.

 B

$9{1/2}$.

 C

$4{7/9}$.

 D

$7{8/9}$.

Soln.
Ans: a

Let $x/7 = y/19 = z/24$ = k. Then ${x + y + z}/x$ is same as ${7k + 19k + 24k}/{7k}$ which equals $7{1/7}$.

${50/7}$ is same as $7{1/7}$.


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 006" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-08-12.

Posted by Parveen(Hoven),
Aptitude Trainer


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