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Number System

Number System
Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is:

4
6
10
5

ANSWER DOWNLOAD EXAMIANS APP

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

112
124
116
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
Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?

11, 6
10, 5
12, 7
12, 9

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Number System
A basket contains 5 blue, 4 green and 3 red ball. If three balls are picked at random, what is the probability that at least one is red ?

37/52
31/58
32/51
34/55

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Probability of having no red ball is9C3 / 12C3 = 21/55Probability of having at least one red ball is 1 - 21/55 = 34/55

Number System
A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13?

11
5
7
0

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

39 + 20 = 59/13 = 7 (Remainder)

Number System
The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:

3/10
4/5
5/4
3/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5

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