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Number System

Number System
Given √2 = 1.414, the value of √8 + 2√32 - 3√128 + 4√50 is

8.584
8.484
8.784
8.684

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

8.484

Number System
If the difference between the squares of two consecutive numbers is 47, what is the smaller number ?

26
23
24
25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23

Number System
The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers?

29
70
Cannot be determined
92

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x and units digit by y.Then,(10x + y) - (10y + x) = 639(x - y) = 63x - y = 7Thus, none of the numbers can be determined.

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?

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

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.

Number System
The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is:

10
12
15
16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and (22 - x). Then,5x = 6(22 - x) 11x = 132 => x = 12So, the numbers are 12 and 10.

Number System
If 35% of a number is 899.5, what is 68% of that number ?

1547.6
2247.6
1747.6
1847.6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Suppose the number is x.Then 35% of x = 899.5∴ 68% of x = 68/35 x 899.5 = 1747.6

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