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Number System

Number System
Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number

4
7.5
5
15

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.7x -15 = 2x + 10 => 5x = 25 => x = 5

Number System
384×12×2=?

9216
6123
7487
8465

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

9216

Number System
A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15?

1
11
9
13

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

45 + 31 = 76/15 = 1 (Remainder)

Number System
The digit in unit's place of a three digit number is thrice the digit in ten's place & the digit in hundred's place is two-third of the digit in ten's place. If the sum of three digits of number is 14

221
239
215
211

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x.∴ Unit's digit = 3xHundered's digit = 2x/3∴ x + 3x + 2x/3 = 14= 3x + 9x + 2x = 14 x 3= 14x = 14 x 3= x = 3∴ Number = 239

Number System
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?

7/32
35/8
12/35
1/35

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.

Number System
A basket contains 5 blue, 4 green and 3 red ball. If three balls are picked at random, what is the probability that at least one is red ?

31/58
34/55
37/52
32/51

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Probability of having no red ball is9C3 / 12C3 = 21/55Probability of having at least one red ball is 1 - 21/55 = 34/55

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