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Number System

Number System
What is the sum of 1 + 2 + 3+ ... + 27 ?

343
396
382
378

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Sum = 27 x (27 + 1)/2= 27 x 28/2= 27 x 14= 378

Number System
If the of a two-digit number are interchanged, the number so obtained is greater than the original number by 18. If the sum of the two digits of the number is 14. What is the original number ?

64
68
62
66

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be 10x + y.No. formed by the interchange of digits = 10y + xWe have y - x = 2 .........(i)y + x = 14            .........(ii)Solving (i) and (ii), we get x = 6, and y = 8∴ the no. is 68.

Number System
√9216 + √15376 = ?

231
224
220
227

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = √9216 + √15376= 96 + 124= 220

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

13
15
17
11

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

Number System
In how many different ways can the letters of word "COLLEGE" be arranged ?

1280
1260
1300
1240

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of ways = 7!/2!2! = 1260(∵ L and E come twice)

Number System
384×12×2=?

9216
7487
6123
8465

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

9216

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