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Number System

Number System
Sum of the digits number is 8 and their product is 12. Find the difference between the digits?

None
4
2
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4

Number System
How many numbers up to 200 are divisible by 2 and 3 both?

35
29
27
33

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

200/6 = 33 2/6 => 33 Numbers

Number System
The sum of three consecutive multiples of 3 is 72. What is the largest number?

36
24
27
21

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be 3x, 3x + 3 and 3x + 6.Then,3x + (3x + 3) + (3x + 6) = 729x = 63x = 7Largest number = 3x + 6 = 27.

Number System
If the sum of four consecutive numbers is 370, which the following is the third lowest number among them

90
89
91
92

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the four consecutive numbers be x, (x + 1), (x + 2), (x + 3) thenx + (x + 1) + (x + 2) + (x + 3) = 370= 4x + 6 = 370∴ x = 364/4 = 91∴ third lowest number among them = x + 1= 91 + 1 = 92

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

2520
2678
2367
2410

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
What should come in place of (?) in the following series ? 10, 19, 30, 43, 58, ?

77
75
76
78

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The series is: +9, +11, +13, +15, +17

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