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Number System

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

2678
2410
2520
2367

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
The difference between 78% of a number and 59% of the same number is 323. What is 62% of that number ?

Rs. 926
Rs. 1054
Rs. 986
Rs. 945

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.78% of x - 59% of x = 323= 78x - 59x/100 = 323= 19x/100 = 323∴ x = 323 x 100/19 = 1700= 62% of 1700 = 1700 x 62/100 = 1054

Number System
A, B, C, D and E are consecutive even numbers respectively. The average of 5 numbers is 82. What is the product of C and E ?

6373
6363
6383
6353

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + x + 1 + x + 2 + x + 3 + x + 4  = 5 x 82= 5x + 10 = 410 = 5x = 400= x = 400/5 = 80  ∴ A = 80C = 82and E = 84= C x E = 82 x 84 = 6383

Number System
What least number must be subtracted from 2641 so that the remainder left, when divided by 10,15 and 25, is 7 in each case ?

84
87
94
81

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

LCM of 10, 15, 25 = 150When we drive 2641 by 150 the remainder is 91.But the remainder should be 7.So, the number to be subtracted from 2641 is 91 - 7 = 84.

Number System
{3√4913}² = ?

333
121
225
289

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (3√4913)² = (17)² = 289

Number System
How many numbers up to 100 are divisible by 7?

93
14
107
100

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

100/7 = 14 2/7 => 14 Numbers

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