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Number System

Number System
Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively?

65
75
67
61

ANSWER DOWNLOAD EXAMIANS APP

Number System
75% of 250 - ?% of 380 = 54.5

39
31
35
33

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

250 x 75/100 - 380 x ?/100 = 54.5= 250 x 75 - 380 x ?= 54.5 x 100= 18750 - 380 x ?= 5450= 380 x? = 18750 - 5450= 13300= ? = 13300/380 = 35

Number System
The average of five consecutive even numbers A, B, C, D and E is 42. What is the product of B and D ?

2476
4589
3289
1760

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

A + B + C + D + E/5 = 42∴ C = 42,   ∴ B = 40,  ∴ D = 44∴ B x D = 40 x 44 = 1760

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?

8
3
2
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
If the numerator of a fraction is increased by 200% and the denominator by 300%, the fraction thus obtained is 1/36. What is the original fractions ?

6/9
4/9
3/9
5/9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the fractions be x/yx + 200% of x/y + 300% of y = 1/3= x + 2x/y + 3y = 1/3= 3x/4y = 1/3Hence x/y = 4/9

Number System
The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is:

15
12
16
10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and (22 - x). Then,5x = 6(22 - x) 11x = 132 => x = 12So, the numbers are 12 and 10.

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