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Number System

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

3360
2360
3260
6460

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of ways = 8!/3! 2! = 40320/12 = 3360

Number System
3√103820 x 3√274620 = ?

3065
3055
3045
3035

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3√103820 = 47 and 3√274620 = 65 ∴ ? = 47 x 65 = 3055

Number System
On converting the following base-2 numeral in base ten, 1101101, we get

106
108
107
109

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

109

Number System
When 102 is reduced from a number, the number gets reduced by 88%. What is that number ?

750
550
850
650

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

850

Number System
The sum of the digits of a two-digit number is 12, and the difference between the number and the number obtained by interchanging the two digits of the number is 18. Find the number.

75
12.5
25
50

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ x + y = 12    ...........(i)10x + y - (10x + x) = 18or 10x + y - 10y - x = 18or 9x - 9y = 18∴ x - y = 2From (i) and (ii), x = 7, y = 5∴ Number = 75

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?

Cannot be determined
70
92
29

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.

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