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Number System

Number System
2536+4851—?=3450+313

3624
6784
5243
4567

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3624

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

81
83
82
84

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
If the fractions8/5,7/2,9/5,5/4,4/5 are arranged in descending order of their values, which one will be fourth?

11/13
7/9
1/3
5/4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

5/4

Number System
If A + B = 30 and AB = 94, What is the value of A² + B² ?

824
920
712
625

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(A + B)² = (30)² = 900A² + B² + 2AB = 900Therefore, A² + B² = 900 - 2 x 94                                = 900 - 188 = 712

Number System
The average of five consecutive even numbers, p, q, r, s and t is 40. What is the product of 'r' and 's' ?

1480
1780
1580
1680

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x, x + 2, x + 4, x + 6, and x + 8Avg = x + x + 2 + x + 4 + x + 6 + x + 8/5 = 40Therefore, 5x + 20 = 200Therefore, x = 180/5 = 36Therefore, r = x + 4 = 40                                 s =  x + 6 = 42Therefore, Product = 1680

Number System
If (72)² is subtracted from the square of a number, the answer thus obtained is 4617. What is the number ?

99
92
103
95

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x² - (72)² = 467Therefore, x² = 4617 + 5184Therefore, x² = 9801  Therefore, x = 99

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