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Number System

Number System
A certain number of two digits is three times the sum of its digits. If 45 be added to it, the digits are reversed. The number is:

24
22
30
27

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

27

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

3360
2360
3260
6460

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
The difference between 68% of a number and 35% of the same number is 1216. What is 28% of the number ?

1043.75
1037.75
1031.75
1027.75

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be xTherefore 68x / 100 - 35x / 100 = 1216      Therefore x = 1216 x 100 / 33Therefore 28% of x = 28x / 100 = 1216 x 100 / 33 x 28 / 100= 1216 x 100 x 28 / 33 x 1/100 = 1031.75

Number System
An urn contains 9 blue, 7 white and 4 black balls. If 2 balls are drawn at random, then what is the probability that only one ball is white ?

92/190
91/190
90/190
89/190

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Total possible outcomes = 20C2 = 20 x 19/1 x 2 = 190Total favourable outcomes = 7C1 x 13C1 = 7 x 13 = 91∴ Required probability = 91/190

Number System
20% of the total number of students in a school play football. How many students do not play football if the total number of students in the school is 7600 ?

5976
6000
5800
6080

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

20% of 7600 = 1520Therefore, students who do not play football = 7600 - 1520 = 6080

Number System
How many numbers up to 200 are divisible by 2 and 3 both?

33
29
35
27

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

200/6 = 33 2/6 => 33 Numbers

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