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Number System

Number System
Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively?

67
61
65
75

ANSWER DOWNLOAD EXAMIANS APP

Number System
The average of 7 consecutive even numbers A, B, C, D, E, F and G is 36. What is the product of ' C and 'E' ?

1468
1292
1168
1327

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

A + B + C + D + E + F + G/7 = 36Therefore, D = 36Therefore, C = 34,                             E = 38Therefore, Product = 34 x 38 = 1292

Number System
If a + b = 16 and ab = 68, what is the value of a² + b² ?

124
116
112
120

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a + b = 16 Therefore, (a+b)² = (16)² = 256                    a² + b² + 2ab = 256Therefore,        a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120

Number System
96% of a number is 19584. What is 56% of that number ?

11324
11424
11224
11524

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.According to the question.96% of x = 19584= x = 1958 x 100/96 = 20400∴ 56% of 20400= 20400 x 56/100= 11424

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

12
16
10
8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The word TEST consists of 4 letters in which T comes twice ∴ Number of arrangements= 4!/2! = 4 x 3 x 2 x 1/2 x 1 = 12

Number System
In a two-digit number, the digit in unit's place is two more than three times the digit in ten's place. If the sum of the two digits is 10, what is the number ?

18
28
22
24

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ y = 3x + 2 .......(i)And, x + y = 10 ......(ii)From (i) and (ii), x = 2, y = 8∴ Number = 28

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