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Number System

Number System
Two-third of a positive number and 25/216 of its reciprocal are equal. The number is:

25/144
144/25
5/12
12/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,2/3 x = 25/216 * 1/xx2 = 25/216 * 3/2 = 25/144 x = 5/12

Number System
Which is the smallest fractions among the following ?

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
In how many ways can 5 boys be chosen from 6 boys and 4 girls so as to include exactly one girl ?

58
60
54
56

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

One girl can be chosen in 4C1 = 4 ways and 4 boys can be chosen in 6C4 = 15 ways ∴ Total number of ways = 4 x 15 = 60 ways.

Number System
Which one of the following represents the sum of the first n even numbers?

N(N + 1)
N2+ 1
N2
N(N – 1)

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

N (N + 1)

Number System
I. 3x2-14x + 8 = 0 II. 2y2 - 1 7 y + 36 = 0

if x > y
if x >= y
if x < y
if x <= y

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

l. 3x2 - 12x - 2x + 8 = 0or 3x(x - 4) -2 (x -4) = 0∴ x = 4, 2/3ll. 2y2 - 8y - 9y + 36 = 0or 2y (y - 4) -9 (y - 4) = 0or (2y - 9) (y - 4) = 0∴ y = 4, 9/2

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' ?

1292
1168
1468
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

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