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Number System

Number System
The Twenty-First Century will start on January 1 in the year

2000
2001
2100
2101

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2001

Number System
If the numerator of a fraction is increased by 200% and the denominator by 300%, the fraction thus obtained is 1/36. What is the original fractions ?

4/9
5/9
6/9
3/9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the fractions be x/yx + 200% of x/y + 300% of y = 1/3= x + 2x/y + 3y = 1/3= 3x/4y = 1/3Hence x/y = 4/9

Number System
What should come in the place of question mark (?) in the number series given below?

158
157
159
160

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

160

Number System
(95.6x 910.3) ÷ 92.56256 = 9?

13.34
12.24
15.54
14.44

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

13.34

Number System
The difference between 78% of a number and 59% of the same number is 323. What is 62% of that number ?

Rs. 945
Rs. 926
Rs. 1054
Rs. 986

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.78% of x - 59% of x = 323= 78x - 59x/100 = 323= 19x/100 = 323∴ x = 323 x 100/19 = 1700= 62% of 1700 = 1700 x 62/100 = 1054

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

120
112
124
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

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