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Number System

Number System
If (17)3 is subtracted from the square of a number, the answer so obtained is 2143. What is the number ?

83
81
84
82

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x² - (17*17*17)  = 2143or x² = 2143 + 4913 = 7056∴ x = 84

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

61480
60480
63480
62480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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
50
25

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
Which choice provides the answer : If 2 + 3 = 10, 6 + 5 = 66, 7 + 2 = 63, 9 + 7 = 144 then, 8 + 4 = ?

96
88
114
102

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

96

Number System
The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, then what will be the original number?

69
49
39
59

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

39

Number System
What is 50% of 40% of Rs. 3,450?

690
630
640
670

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

40% * 3450 = 1380then, 50 % * 1380 = 690

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