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Number System

Number System
ind the number, difference between number and its 3/5 is 50

125
124
123
120

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number = x,Then, x-(3/5)x = 50,=> (2/5)x = 50 => 2x = 50*5,=> x = 125

Number System
How many numbers up to 200 are divisible by 2 and 3 both?

33
27
29
35

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

200/6 = 33 2/6 => 33 Numbers

Number System
Which is the smallest fractions among the following ?

15/19
27/31
13/15
11/13

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

11/13 = 0.8461,13/15 = 0.8666,27/31 = 0.87,15/19 = 0.789

Number System
If a + b = 16 and ab = 68, what is the value of a² + b² ?

124
120
112
116

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a + b = 16 Therefore, (a+b)² = (16)² = 256                    a² + b² + 2ab = 256Therefore,        a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120

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

987
525
1224
820

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
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:

11
9
5
3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x and unit's digit be y. Then, number 10x + y.Number obtained by interchanging the digits = 10y + x.(10x + y) + (10y + x) = 11(x + y)which is divisible by 11.

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