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Number System

Number System
3√103820 x 3√274620 = ?

3045
3035
3055
3065

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3√103820 = 47 and 3√274620 = 65 ∴ ? = 47 x 65 = 3055

Number System
Find the greatest number which leaves the same remainder when it divides 25, 57 and 105.

18
16
12
8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

105 - 57 = 4857 - 25 = 32105 - 25 = 80The H.C.F of 32, 48 and 80 is 16.

Number System
Find the smallest number which when divided by 13 and 16 leaves respective remainders of 2 and 5.

207
197
219
187

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 'N' is the smallest number which divided by 13 and 16 leaves respective remainders of 2 and 5.Required number = (LCM of 13 and 16) - (common difference of divisors and remainders) = (208) - (11) = 197.

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?

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

ANSWER DOWNLOAD EXAMIANS APP

Number System
One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number?

7
3
9
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x/2 – x/3 = 6=> x =63 + 6 = 9

Number System
If (74)² is added to the square of a number the answer so obtained is 7780. What is the number ?

47
49
48
50

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.or, x² + (74)² = 7780or, x² = 7780 - 5476 = 2304∴ x = 48

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