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Number System

Number System
0.333 .... × 0.444 .... is equal to

1.333 ....
0.777 ....
0.121212 ....
0.148148148 ....

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.148148148 ....

Number System
Sum of square of first number and cube of second number together is 568. Also square of the second number is 15 less than square of 8. What is the value of three-fifth of the first number ?

6
8
7
9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first number be x and the second number be y.∴ y² = 82 - 15 = 64 - 15 = 49∴ y = 7∴ x² + 73 = 568= x² + 343 = 568= x² + 568 - 343 = 225∴ x = √225 = 15∴ 15 x 3/5 = 9

Number System
What is the difference between the local value of 7 and 5 in the number 2574?

413
403
430
570

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

500 – 70 = 430

Number System
Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?

11, 6
12, 9
10, 5
12, 7

ANSWER DOWNLOAD EXAMIANS APP

Number System
In how many different ways can the letters of the word 'FRUGAL'be arranged ?

556
660
720
515

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

In FRUGAL there ae six difference letters Therefore, 6 !                       = 6 x 5 x 4 x 3 x 2 x 1 = 720

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 ?

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

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

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