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Number System

Number System
65% of 320+?=686

479
481
480
478

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

65% of 320+?=686 208+?=686?=686-208?=478

Number System
The difference between 45% of a number and 18% of the same number is 145.8. What is 30% of that number ?

188
162
245
141

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.45% of x - 18% of x = 145.8∴ x/100 (45 - 18) = 145.8∴ x = 145.8 x 100/27 = 540∴ 30% of 540 = 540 x 30/100 = 162

Number System
Two numbers have a H.C.F of 16 and a product of two numbers is 2560. Find the L.C.M of the two numbers?

150
140
170
160

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

L.C.M of two numbers is given by(Product of the two numbers) / (H.C.F of the two numbers) = 2560/16 = 160.

Number System
If x + y = 61 and xy = 888, What is the value of x²+ y² ?

1945
1955
1975
1965

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Because (x + y)²  = x² + y² + 2xy∴ x² + y² = (x + y)² - 2xy∴ x² + y² = (61)² - 2 x 888= 3721 - 1776 = 1945

Number System
If the product of two successive positive integers is 4692, what is the smaller number ?

64
66
70
68

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∵ 68 x 69 = 4692

Number System
A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

18
24
81
42

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's and unit's digit be x and 8/x respectively. Then, (10x + 8/x) + 18 = 10 * 8/x + x 9x2 + 18x - 72 = 0 x2 + 2x - 8 = 0 (x + 4)(x - 2) = 0 x = 2 So, ten's digit = 2 and unit's digit = 4. Hence, required number = 24.

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