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Number System

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

6460
2360
3260
3360

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of ways = 8!/3! 2! = 40320/12 = 3360

Number System
How many times the keys of a typewriter have to be pressed in order to write first 400 counting numbers?

1082
1200
1192
1092

ANSWER DOWNLOAD EXAMIANS APP

Number System
On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder?

6
4
7
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let x be the number and y be the quotient. Then, x = 357 * y + 39= (17 * 21 * y) + (17 * 2) + 5= 17 * (21y + 2) + 5.Required remainder = 5.

Number System
Pick the wrong number from the given number series. 3,4,10,33,135,685,4116

685
10
135
33

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The correct number is 136.3 x 1 + 1 = 44 x 2 + 2 = 1010 x 3 + 3 = 3333 x 4 + 4 = 136136 x 5 + 5 = 685685 x 6 + 6 = 4116

Number System
A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

24
81
18
42

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's and unit's digit be x and 8/x respectively. Then, (10x + 8/x) + 18 = 10 * 8/x + x 9x2 + 18x - 72 = 0 x2 + 2x - 8 = 0 (x + 4)(x - 2) = 0 x = 2 So, ten's digit = 2 and unit's digit = 4. Hence, required number = 24.

Number System
Find the least value of 3x + 4y if x2y3 = 6.

6
7
3
10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

10

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