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Number System

Number System
How many numbers up to 100 are divisible by 7?

14
100
93
107

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

100/7 = 14 2/7 => 14 Numbers

Number System
The product of two consecutive position odd numbers is 6723. What is the smaller number?

83
71
74
79

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83

Number System
Which is the smallest fractions among the following ?

27/31
13/15
11/13
15/19

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

11/13 = 0.8461,13/15 = 0.8666,27/31 = 0.87,15/19 = 0.789

Number System
On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is:

47649
47619
47719
48619

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

By hit and trail, we find that47619 * 7 = 333333.7) 333333 (47619     333333----------------        0

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' ?

1680
1780
1580
1480

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
In how many different ways can the letters of the word 'DETERMINE' be arranged ?

60480
61480
62480
63480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

No. of arrangements = 9! / 3! Because, E comes 3 times = 60480

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