Problems on Numbers Quiz Set 004

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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

If $2{3/8}$ of a number is 3, what is $1{1/35}$ of that number?

 A

$1{199/665}$.

 B

$2{201/664}$.

 C

${199/667}$.

 D

$4{191/667}$.

Soln.
Ans: a

Let the number be N. Then it is given that $2{3/8}$ x N = 3. ⇒ N = 3 X ${8/19}$. ⇒ ${36/35}$ x N = ${36/35}$ x 3 X ${8/19}$ = ${864/665}$.

${19/8}$ is same as $2{3/8}$. ${36/35}$ is same as $1{1/35}$. ${864/665}$ is same as $1{199/665}$.


Question 3

Which term of this arithmetic series is zero: 133, 126, 119 ...?

 A

20.

 B

21.

 C

19.

 D

22.

Soln.
Ans: a

The first term is 133, common difference is d = -7, n-th term is 0. So $0 = 133 + (n - 1) × -7$ which gives $n = 1 + {133/7} = 20$.


Question 4

If $14/17$ of a number is 84, what is the number?

 A

102.

 B

103.

 C

101.

 D

104.

Soln.
Ans: a

Let the number be N. Then ${14/17}$ x N = 84. ⇒ N = 84 x ${17/14}$ = 102


Question 5

The difference between a two digit number and the one obtained by reversing its digits is 81. If one of the digits is 5, what is the other?

 A

Cannot exist.

 B

5.

 C

6.

 D

7.

Soln.
Ans: a

Let the numbers be a and b. ab = 10a + b, and ba = 10b + a. The difference is 10a + b - (10b + a) = 9(a - b). It is given that 9(a - b) = 81, ⇒ a - b = $81/9$ = 9, ⇒ the difference between the digits is 9. If one of the digits is 5, the other cannot be determined.


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This Blog Post/Article "Problems on Numbers Quiz Set 004" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-10-26.

Posted by Parveen(Hoven),
Aptitude Trainer


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