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Number System

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

10
12
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
If the fraction 8/6, 7/5, 18/13, 9/5 and 7/11 are arranged in descending order of their values, which one will be the second ?

2/7
3/4
7/5
1/9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

8/6 = 1. 333, 7/5 = 1.4, 18/13 = 1.3849/5 = 1.8 and 7/11 = 0.636Therefore, Descending order is 9/5 > 7/5 > 18/13 > 8/6 > 7/11Therefore Second fraction is 7/5

Number System
A basket contains 5 blue, 4 green and 3 red ball. If three balls are picked at random, what is the probability that at least one is red ?

32/51
37/52
31/58
34/55

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Probability of having no red ball is9C3 / 12C3 = 21/55Probability of having at least one red ball is 1 - 21/55 = 34/55

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

9565
9974
None of these
9125

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.

Number System
?2704 x ?2209=?

1444
2444
3444
4444

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2444

Number System
What is the sum of the local values of the digits 2, 3, 4, 5 in the number 2345?

2435
2345
5243
2105

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2000 + 300 + 40 + 5 = 2345

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