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Number System

Number System
432+2170+35=?

729
678
523
494

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

494

Number System
If the sum of five consecutive even numbers A, B, C, D and E is 130, what is the product of A and E ?

780
720
660
840

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the consecutive even numbers be A = 2x, B = 2x + 2, C = 2x + 4, D = 2x + 6 and E = 2x + 8= A + B + C + D + E = 130= 10x + 20 = 130∴ x = 130 - 20/10 = 11Therefore, product of A and E= 22 x 30 = 660

Number System
What is the sum of all the prime numbers from 20 to 40?

119
120
117
118

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

23 + 29 + 31 + 37 = 120

Number System
What is the least number that should be added to 5200 to make it a perfect square ?

129
288
225
275

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

We sec (73)² = 5329 and (72)² = 5184ie 5329 > 5200 > 5184So 129 should be added to make is perfect square.

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

80
83
77
85

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

82
84
83
81

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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