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Number System

Number System
What is the value of ? in the following equations ? 72/? = ?/50

60
100
40
80

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 72 x 50= (6 x 6 x 2) x (5 x 5 x 2)= (6 x 5 x 2)² = (60)²∴ ? = 60

Number System
A certain number of two digits is three times the sum of its digits. If 45 be added to it, the digits are reversed. The number is:

24
22
30
27

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

27

Number System
?125÷5x ?=6265

153
124
1253
1452

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1253

Number System
The sum of three consecutive even numbers is 252. What is the sum of the smallest and the largest numbers?

171
170
168
169

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

168

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

70
68
66
64

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:

81
18
42
24

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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