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Number System

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

40
None of these
80
60

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The world LEASE consists of 5 letters in which E comes twice ∴ 51/21 = 5x4x3x2x1/2x1 = 60

Number System
486+32×25—59=?

567
596
528
582

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

528

Number System
What is the least number to be subtracted from 696 to make it a perfect square?

20
71
1
16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The numbers less than 696 and are squares of certain numbers are 676, 625.The least number that should be subtracted from 696 to make it perfect square = 696 - 676 = 20.

Number System
In how many ways can 5 boys be chosen from 6 boys and 4 girls so as to include exactly one girl ?

56
58
54
60

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

One girl can be chosen in 4C1 = 4 ways and 4 boys can be chosen in 6C4 = 15 ways ∴ Total number of ways = 4 x 15 = 60 ways.

Number System
The difference between 71% of a number and 46% and of the same number is 212. What is 75% of that number

845
724
673
636

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ 71% of x - 46% of x = 212∴ (71 - 46)% of x = 212∴ 25/100 x x = 212∴ x = 212 x 4 = 848∴ 75% of 848 = 848 x 75/100  = 636

Number System
If a number is multiplied by. three-fourth of itself, the value thus obtained is 10800. What is that number ?

260
60
120
180

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x x 3x/4 = 10800= x² = 10800 x 4/3 = 14400∴ x = √14400 = 120

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