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Number System

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

60480
63480
62480
61480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is:

13
10
12
11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Clearly, (2272 - 875) = 1397, is exactly divisible by N.Now. 1397 = 11 * 127The required 3-digit number is 127, the sum of whose digit is 10.

Number System
1089/? = ?/1296

1188
1082
1278
1348

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 1089 x 1296(?)²= (11 x 11 x 9) x (12 x 12 x 9)(?)= 11 x 12 x 9= 1188

Number System
Find the number of factors of 300 excluding 1 and itself.

15
16
18
14

ANSWER DOWNLOAD EXAMIANS APP

Number System
84 * 29 + 365 = ?

2801
- 2801
2436
- 2071

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

- 84 * (30 - 1) + 365= - (84 * 30) + 84 + 365= - 2520 + 449 = - 2071

Number System
The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number ?

None of these
14
36
54

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10 x + yWhere x > yAccording to the question,x + y = 15 and x - y = 3Solving both the equations,x = 9, y = 6∴ x x y = 9 x 6 = 54

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