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Number System

Number System
If the difference between a number and its 2/5 is 240, find the number.

400
360
440
480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be x Therefore x - 2x/5 = 240,        Therefore, 3x/5 = 240Therefore, x = 240x5/3 = 400

Number System
The average age of seven boys sitting in a row facing North is 26 years. If the average age of first three boys is 19 years and the average age of last three boys is 32 years, what is the age of the b

31 years
30 years
29 years
28 years

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Age of the fourth boy = (26 x 7 - 3 x 19 - 3 x 32) years = (182 - 57 - 96) years = 29 years

Number System
If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is:

180
28
160
12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then, x + y = 20 and x - y = 8x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.

Number System
What is the greater of the two numbers whose product is 2560, given that the sum of the two numbers exceeds their difference by 64?

90
None of these
100
110

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the greater and the smaller number be g and s respectively.gs = 2560g + s exceeds g - s by 64 i.e., g + s - (g - s) = 64i.e., 2s = 64 => s = 32.g = 2560/s = 80.

Number System
If (74)² is added to the square of a number the answer so obtained is 7780. What is the number ?

48
50
47
49

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.or, x² + (74)² = 7780or, x² = 7780 - 5476 = 2304∴ x = 48

Number System
What is 432 times 119 ?

50408
52408
53408
51408

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

No. 432 x 119 = 51408

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