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Number System

Number System
In how many different ways can the letters of word "COLLEGE" be arranged ?

1240
1280
1260
1300

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of ways = 7!/2!2! = 1260(∵ L and E come twice)

Number System
The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers?

92
29
70
Cannot be determined

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x and units digit by y.Then,(10x + y) - (10y + x) = 639(x - y) = 63x - y = 7Thus, none of the numbers can be determined.

Number System
The difference between a number and its three-fifth is 50. What is the number?

100
None of these
125
75

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x - 3/5 x = 50 => 2/5 x = 50x = (50 * 5)/2 = 125.

Number System
If a number is subtracted from its square we get 272. Find the number?

14
22
17
24

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x2 – x = 272 => x =17

Number System
A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13?

11
0
5
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

39 + 20 = 59/13 = 7 (Remainder)

Number System
Three numbers are in ratio of 3: 4 :5. If the sum of first & third numbers is more than second number by 52, which will be largest number?

65
78
23
34

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

65

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