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Number System

Number System
2536+4851—?=3450+313

4567
5243
3624
6784

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3624

Number System
A canteen requires 17 dozen of eggs per week. How many eggs will it require from January 1 to February 11 ?

1224
820
987
525

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of days from Jan 1 to Feb 11th= 31 + 11 = 42 days = 6 weeks∴ Total eggs  =17 x 12 x 6 = 1224

Number System
Twenty times a positive integer is less than its square by 96. What is the integer?

20
24
30
Cannot be determined

ANSWER DOWNLOAD EXAMIANS APP

Number System
Find the greatest number which leaves the same remainder when it divides 25, 57 and 105.

8
16
18
12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

105 - 57 = 4857 - 25 = 32105 - 25 = 80The H.C.F of 32, 48 and 80 is 16.

Number System
The product of two consecutive odd numbers is 4095 What is the greater number ?

65
61
74
69

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the two consecutive odd numbers be 2x - 1 and 2x + 1.(2x - 1) (2x - 1) = 4095= 4x² - 1 = 4095= 4x² = 4096= x² = 1024∴ x = 32∴ The numbers are 63 and 65.Greater number = 65

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

712
824
920
625

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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