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Number System

Number System
Supply the missing figure : 2, 6, 12, 20, 30 ... 56

41
40
42
39

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

42

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?

3
8
5
2

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
A bag contains eighteen 25-paise coins, seventeen 50-paise coins, twentytwo one-rupee coins, nine 2-rupee coins and three 5-rupee coins. What is the total amount in the bag (Ans in rupees) ?

Rs. 79
Rs. 74
Rs. 68
Rs. 62

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Total = 18/7 + 17/2 + 22 + 9 x 2 + 3 x 5         = 4.5 + 8.5 + 22 + 18 + 15         = Rs 68

Number System
How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together?

8
9
10
11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(700 – 300)/42 = 9 22/42 => 9 Numbers

Number System
If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is:

80
88
44
40

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404 Now, 2xy = (x + y)2 - (x2 + y2) 2xy= 222 - 404 = 484 - 404 = 80xy = 40

Number System
In how many different ways can the letters of word 'BIOLOGY' be arranged ?

2520
2367
2410
2678

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

In BIOLOGY total 7 letters are there but O comes twice.∴ Number of arrangements = 7!/2! = 2520

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