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Number System

Number System
By how much is 3/5th of 875 greater than 2/3 of 333?

199
233
303
362

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3/5th of 875 is greater than 2/3rd of 333= 3/5 * 875 - 2/3 * 333= 525 - 222 = 303.

Number System
The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers?

388
252
296
344

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the four numbers be x, x + 2, x + 4 and x + 6.=> x + x + 2 + x + 4 + x + 6 = 36=> 4x + 12 = 36 => x = 6The numbers are 6, 8, 10 and 12.Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.

Number System
In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, the dividend is:

6890
2568
9865
5336

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

5336

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

91
101
61
41

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

91

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

625
824
712
920

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 sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?

7/32
12/35
1/35
35/8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.

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