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Number System

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

62480
61480
63480
60480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
If the following fractions 7/6, 6/7, 5/3, 8/13 and 6/5 are arranged in descending order, which will be the last in the series?

6/13
7/13
8/13
9/13

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

7/6 = 1.166, 6/7 = 0.857,5/3 = 1.66,8/13 = 0.615,6/5 = 1.2Therefore, 5/3 > 6/5 > 7/6 > 6/7 > 8/13

Number System
If 70% of an equal to 40% of b, then ratio between a and b is?

4: 7
None
7: 11
7: 4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

70 a = 40 ba: b = 4: 7

Number System
Sum of two numbers is 80. Greater number exceeds by 5 from four times of the smaller. Find the numbers?

62, 18
65, 15
60, 20
64, 16

ANSWER DOWNLOAD EXAMIANS APP

Number System
How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336

4
6
5
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

132 = 11 * 3 * 4Clearly, 968 is not divisible by 3None of 462 and 2178 is divisible by 4And, 5284 is not divisible by 11Each one of the remaining four numbers is divisible by each one of 4, 3 and 11.So, there are 4 such numbers.

Number System
The digit in unit's place of a three digit number is thrice the digit in ten's place & the digit in hundred's place is two-third of the digit in ten's place. If the sum of three digits of number is 14

221
211
215
239

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x.∴ Unit's digit = 3xHundered's digit = 2x/3∴ x + 3x + 2x/3 = 14= 3x + 9x + 2x = 14 x 3= 14x = 14 x 3= x = 3∴ Number = 239

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