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Number System

Number System
One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number?

7
3
5
9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x/2 – x/3 = 6=> x =63 + 6 = 9

Number System
Four-fifth of a number is 10 more than two-third of the same number. What is the number?

89
35
75
91

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

75

Number System
The simplest form of 1.5 : 2.5 is :

17 : 19
5 : 7
13 : 11
3 : 5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3 : 5

Number System
In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A?

Data inadequate
1/5
2/5
1/25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

A = 2B => B = 1/2 A, so, AB = 2/25 1/2 A2 = 2/25A2 = 4/25 A = 2/5

Number System
The average of 7 numbers is 15, that of the first three is 6 and that of the last three is 23. What is the fourth number?

15
7
18
13

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

4th No. = (Total of 7 Nos) - (Total of first three + total of last 3)             = (15 x 7) - (6 x 3 + 23 x 3)             = 105 - (18 + 69)             =105 - 87             = 18

Number System
The difference between a two-digit number and the number obtained by interchange the two digits of the number is 27. If the sum of the two digits of the number is 13, what is their product ?

38
37
39
40

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40

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