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Number System

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

2367
2410
2520
2678

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
35 + 15 * 1.5 = ?

75
57.5
51.5
5.25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Exp. = 35 + 15 * 3/2 = 35 + 45/2 = 35 + 22.5 = 57.5

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?

1/25
Data inadequate
1/5
2/5

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
If a + b = 16 and ab = 68, what is the value of a² + b² ?

112
120
124
116

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a + b = 16 Therefore, (a+b)² = (16)² = 256                    a² + b² + 2ab = 256Therefore,        a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120

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
44
40
88

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
What is the difference between the largest and the smallest number written with 7, 7, 0, 7?

6893
693
6093
6993

ANSWER DOWNLOAD EXAMIANS APP
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