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Number System

Number System
The sum of two numbers is 25 and their difference is 13. Find their product.

325
315
104
114

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then x + y = 25 and x - y = 13.x = 19; y = 6xy = 19 * 6 = 114

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' ?

1680
1580
1780
1480

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
When the square of a number is substracted from (68)², the answer so obtained is 2508. What is the number ?

45
44
46
47

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(68)² - x² = 2508Therefore, x² = 4624 = 2508Therefore, x = root of 2116 = 46

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

252
388
344
296

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
If the L.C.M of two numbers is 750 and their product is 18750, find the H.C.F of the numbers.

50
30
25
125

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

H.C.F = (Product of the numbers) / (Their L.C.M) = 18750/750 = 25.

Number System
If (74)² is added to the square of a number the answer so obtained is 7780. What is the number ?

49
50
47
48

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.or, x² + (74)² = 7780or, x² = 7780 - 5476 = 2304∴ x = 48

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