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Number System

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

None of these
40
60
80

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
The product of two consecutive position odd numbers is 6723. What is the smaller number?

71
74
79
83

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83

Number System
What least number shall be added to 4700 to make it a perfect square ?

71
91
61
81

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(69)² = 4761 and (68)² = 4624Clerly 4624 < 4700 < 4761So 61 should be added to make 4700 a perfect square.

Number System
Complete the series : 11, 12, 17, 18, 23, 24 ...

12
30
None of these
14

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

None of these

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

8
12
16
10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The word TEST consists of 4 letters in which T comes twice ∴ Number of arrangements= 4!/2! = 4 x 3 x 2 x 1/2 x 1 = 12

Number System
384×12×2=?

9216
8465
6123
7487

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

9216

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