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Number System

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

63480
60480
61480
62480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

No. of arrangements = 9! / 3! Because, E comes 3 times = 60480

Number System
If (47)² is added to the square of a number the answer thus obtained is 2290. What is the number ?

7
10
9
8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be x Therefore, x² + (47)² = 2290Therefore, x² = 2290 - 2209 = 81Therefore, x = 9

Number System
The average age of seven boys sitting in a row facing North is 26 years. If the average age of first three boys is 19 years and the average age of last three boys is 32 years, what is the age of the b

29 years
28 years
30 years
31 years

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Age of the fourth boy = (26 x 7 - 3 x 19 - 3 x 32) years = (182 - 57 - 96) years = 29 years

Number System
What should come in place of question mark (?) in the following number series ? 7, 176, 480, 1058, 2188, 4426, ?

8882
8888
8884
8881

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Series is (No. + 9²) x 2, (+8²) x 2, (+7²) x 2, (+6²) x 2.......

Number System
If the fractions 1/7, 3/5, 2/5, 5/6 and 9/11 are arranged in descending order of their values, which one will be the fourth number?

1/5
3/5
2/5
4/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1/4 = 14. 3/5  = 6.2/5 = 4.5/6 = 83.9/11 = 82.Therefore, 83 > 82 > 6 > 14

Number System
What is the least number, which is perfect square but contains 2700 as its factor?

5400
1800
10800
2700

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

900 * 3 * 3 = 8100

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