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Number System

Number System
The number of prime factors of (6)10×(7)17×(55)27

91
61
101
41

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

91

Number System
If the sum of four consecutive numbers is 370, which the following is the third lowest number among them

92
91
89
90

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the four consecutive numbers be x, (x + 1), (x + 2), (x + 3) thenx + (x + 1) + (x + 2) + (x + 3) = 370= 4x + 6 = 370∴ x = 364/4 = 91∴ third lowest number among them = x + 1= 91 + 1 = 92

Number System
The product of two consecutive odd numbers is 4623. What is the product of the next two consecutive odd numbers ?

7745
8795
6782
5183

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

√4623 = 6767 x 69 = 4623∴ Required product = 71 x 73                               = 5183

Number System
4550 ÷ 25% of ? = 130

135
130
125
140

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

4550 ÷ ? x 25/100 = 130= 4550 ÷ ?/4 = 130= 4550 x 4/? = 130= ? x 130 = 4550 x 4= ? = 4550 x 4/130 = 140

Number System
Sum of square of first number and cube of second number together is 568. Also square of the second number is 15 less than square of 8. What is the value of three-fifth of the first number ?

9
7
6
8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first number be x and the second number be y.∴ y² = 82 - 15 = 64 - 15 = 49∴ y = 7∴ x² + 73 = 568= x² + 343 = 568= x² + 568 - 343 = 225∴ x = √225 = 15∴ 15 x 3/5 = 9

Number System
What least number shall be added to 4700 to make it a perfect square ?

91
71
61
81

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(69)² = 4761 and (68)² = 4624Clerly 4624 < 4700 < 4761So 61 should be added to make 4700 a perfect square.

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