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Number System

Number System
(12.04 x 7.5 + 0.8 x 45) ÷ 3 = ?

54.7
45
42.6
42.1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(90.3 + 36) ÷ 3 = 126.3/3 = 42.1

Number System
If A + B = 30 and AB = 94, What is the value of A² + B² ?

712
625
920
824

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(A + B)² = (30)² = 900A² + B² + 2AB = 900Therefore, A² + B² = 900 - 2 x 94                                = 900 - 188 = 712

Number System
On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder?

7
4
6
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let x be the number and y be the quotient. Then, x = 357 * y + 39= (17 * 21 * y) + (17 * 2) + 5= 17 * (21y + 2) + 5.Required remainder = 5.

Number System
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:

11
9
3
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x and unit's digit be y. Then, number 10x + y.Number obtained by interchanging the digits = 10y + x.(10x + y) + (10y + x) = 11(x + y)which is divisible by 11.

Number System
The difference between 71% of a number and 46% and of the same number is 212. What is 75% of that number

636
673
724
845

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ 71% of x - 46% of x = 212∴ (71 - 46)% of x = 212∴ 25/100 x x = 212∴ x = 212 x 4 = 848∴ 75% of 848 = 848 x 75/100  = 636

Number System
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the smaller number?

270
240
360
295

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the smallest number be x.Then larger number = (x + 1365)x + 1365 = 6x + 15= 5x = 1350 x = 270Smaller number = 270.

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