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Number System

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

12
10
16
8

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
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
6353
6383
6363

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
The sum of two numbers is 25 and their difference is 13. Find their product.

325
315
114
104

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then x + y = 25 and x - y = 13.x = 19; y = 6xy = 19 * 6 = 114

Number System
Find the nearest to 25268 which is exactly divisible by 467?

25308
25228
25218
25208

ANSWER DOWNLOAD EXAMIANS APP

Number System
Given √2 = 1.414, the value of √8 + 2√32 - 3√128 + 4√50 is

8.584
8.484
8.784
8.684

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

8.484

Number System
Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24.

9565
9125
9974
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Since the difference between the divisors and the respective remainders is not constant, back substitution is the convenient method. None of the given numbers is satisfying the condition.

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