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Number System

Number System
3√103820 x 3√274620 = ?

3065
3045
3055
3035

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3√103820 = 47 and 3√274620 = 65 ∴ ? = 47 x 65 = 3055

Number System
The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number ?

54
36
14
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10 x + yWhere x > yAccording to the question,x + y = 15 and x - y = 3Solving both the equations,x = 9, y = 6∴ x x y = 9 x 6 = 54

Number System
Of the three numbers, second is twice the first and is also thrice the third. If the average of the three numbers is 44, the largest number is

72
56
38
44

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

72

Number System
In each of the following numbers, what should be the missing digit in the indicated place such that the number is a multiple of 11?

2
8
3
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Divisibility of 11: If the difference of the sum of the digits at odd places and the sum of the digits at even places of a number is zero or a multiple of 11, then that number is divisible by 11.As per divisibility rule of 11, difference = (x + 21) - 18 = x + 3=> x + 3 = 11 => x = 8

Number System
The cost of 87 pens and 29 pencils is `783. What is the cost of 90 pens and 30 pencils ?

Rs. 810
Rs. 800
Rs. 830
Rs. 820

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the price of a pen be 'x' and that of pencil be 'y' Then 87x + 29y = 783Multiplying eqn (i) by 30/29 we get (87x) x 30/29  + (29y) 30/29 = 783 x 30/29∴ 90x + 30y = 810

Number System
If the sum of one-half of a number exceeds one-third of that number by 7 1/3, the number is:

15
20
30
18

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,(1/2 x + 1/5 x) - 1/3 x = 22/311/30 x = 22/3x = 20

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