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Number System

Number System
The sum of two numbers is 25 and their difference is 13. Find their product.

315
114
325
104

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then x + y = 25 and x - y = 13.x = 19; y = 6xy = 19 * 6 = 114

Number System
On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is:

47649
48619
47719
47619

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

By hit and trail, we find that47619 * 7 = 333333.7) 333333 (47619     333333----------------        0

Number System
In how many ways can 5 boys be chosen from 6 boys and 4 girls so as to include exactly one girl ?

54
56
58
60

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

One girl can be chosen in 4C1 = 4 ways and 4 boys can be chosen in 6C4 = 15 ways ∴ Total number of ways = 4 x 15 = 60 ways.

Number System
What is the least number that should be added to 5200 to make it a perfect square ?

225
275
288
129

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

We sec (73)² = 5329 and (72)² = 5184ie 5329 > 5200 > 5184So 129 should be added to make is perfect square.

Number System
1827÷ 36 x ?=162.4

4.3
2.6
1.9
3.2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3.2

Number System
If (35)² is added to the square of a number the answer so obtained is 1394. What is the number ?

17
13
11
15

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x Therefore, x² + (35)² = 1394Therefore, x² = 1394 - (35)²                       = 1394 - 1225                       = 169Therefore, x = √169 = 13

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