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NUMBER SYSTEM

Number System
The average of five consecutive even numbers, p, q, r, s and t is 40. What is the product of 'r' and 's' ?

1480
1680
1780
1580

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x, x + 2, x + 4, x + 6, and x + 8Avg = x + x + 2 + x + 4 + x + 6 + x + 8/5 = 40Therefore, 5x + 20 = 200Therefore, x = 180/5 = 36Therefore, r = x + 4 = 40                                 s =  x + 6 = 42Therefore, Product = 1680

Number System
What is the least number that should be added to 5200 to make it a perfect square ?

129
275
225
288

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

We sec (73)² = 5329 and (72)² = 5184ie 5329 > 5200 > 5184So 129 should be added to make is perfect square.

Number System
What least number shall be added to 4700 to make it a perfect square ?

71
81
61
91

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(69)² = 4761 and (68)² = 4624Clerly 4624 < 4700 < 4761So 61 should be added to make 4700 a perfect square.

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

2504
2510
2520
2508

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Here total letters are 7 but A comes twice.Therefore, Numbers of arrangements = 7!/2! = 2520

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

625
712
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

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