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Number System

Number System
Four-fifth of a number is 10 more than two-third of the same number. What is the number?

75
91
35
89

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

75

Number System
The product of two consecutive odd numbers is 6723. Find is the greater number.

83
80
85
77

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first odd number be x.Then, the other odd number would be x + 2.∴ x(x+2) = 6723= x2 + 2x = 6723= x2 + 2x = 6723= x2 + 2x - 6723 = 0= x2 + 83 - 81 x - 6723 = 0= x(x+83) - 81 (x + 83) = 0= (x + 83) (x - 81) = 0= (x + 83) (x - 81) = 0= x - 81 = 0∴ x = 81Hence, greater number = x + 2 = 81 + 2 = 83

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

62480
63480
61480
60480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
ind the number, difference between number and its 3/5 is 50

125
120
123
124

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number = x,Then, x-(3/5)x = 50,=> (2/5)x = 50 => 2x = 50*5,=> x = 125

Number System
7.8 x 4.5 x 4.2/0.14 = ?

1087
1032
1053
1012

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

7.8 x 4.5 x 4.2/0.14 = 1053

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

83
82
84
81

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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