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Number System

Number System
(√6 + 1)² = ? + 2√6

5
7
8
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (√6 + 1)² - 2√6= (√6)² + 2 x √6 + 1 + 1² - 2√6= 6 + 2√6 + 1 - 2√6 = 6 + 1 = 7

Number System
In how many ways can 5 boys be chosen from 6 boys and 4 girls so as to include exactly one girl ?

60
58
56
54

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

One girl can be chosen in 4C1 = 4 ways and 4 boys can be chosen in 6C4 = 15 ways ∴ Total number of ways = 4 x 15 = 60 ways.

Number System
Find the least number which when divided by 35 and 11 leaves a remainder of 1 in each case.

384
386
391
388

ANSWER DOWNLOAD EXAMIANS APP

Number System
17580 x 1.8 - 13720 x 2.1 = ? x 2.4

1140
1160
1120
1180

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2.4 x ? = 31644 - 28812 = 2832∴ ? = 2832/2.4= 1180

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

570
403
413
430

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

500 – 70 = 430

Number System
Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24.

9974
9565
None of these
9125

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Since the difference between the divisors and the respective remainders is not constant, back substitution is the convenient method. None of the given numbers is satisfying the condition.

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