6
Q:

# Twenty times a positive integer is less than its square by 96. What is the integer ?

 A) 42 B) 36 C) 48 D) 24

Answer:   D) 24

Explanation:

Let the integer be x. Then,

x2 - 20x = 96

(x + 4)(x - 24) = 0

x = 24

Q:

Two numbers are such that the sum of twice the first number and thrice the second number is 36 and the sum of thrice the first number and twice the second number is 39. Find the difference between the numbers?

 A) 15 B) 3 C) 9 D) 6

Answer & Explanation Answer: A) 15

Explanation:

Let the required two numbers be a, b

From the given data,

2a + 3b = 36 .....(1)

3a + 2b = 39 .....(2)

Now, by solving 1 and 2 eqnts, we get

5a = 45

a = 9 ....(3)

Put (3) in (1), we get

2(9) + 3b = 36

=> 18 + 3b = 36

3b = 36 - 18

=> b = 18/3 = 6

Required, difference between the numbers = a + b = 9 + 6 = 15.

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2 76
Q:

(P - 4)(P - 6)

Simplify the above?

Answer

(P - 4)(P - 6)

Now applying distributive property, we get

P.P - 4.P - 6.P + 6.4

P^2 - 10P + 24

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184
Q:

Simplify the following equation

55.55 + 155 + 15.55 + 0.5 + 0.05 = ?

 A) 226.65 B) 196.55 C) 202.35 D) 216.66

Answer & Explanation Answer: A) 226.65

Explanation:

55.55 + 155 + 15.55 + 0.5 + 0.05 = ?

55.55

155.00

15.55

0.5

0.05

_______

226.65

_______

Hence, the value of the given equation 55.55 + 155 + 15.55 + 0.5 + 0.05 = 226.65.

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2 254
Q:

5 + 2 x 10 =

 A) 70 B) 20 C) 25 D) 52

Answer & Explanation Answer: C) 25

Explanation:

According to BODMAS rule,

After multiplication only, addition is done.

Hence,

5 + 2 x 10 = 5 + 20 = 25.

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1 288
Q:

Simplify

39.96% of 649.85 $÷$13.07 = 45.14 - ?

 A) 25 B) 26 C) 27 D) 28

Answer & Explanation Answer: A) 25

Explanation:

This can be easily simplified by Approximation process

Given 39.96% of 649.85 $÷$13.07 = 45.14 - ? can be written as

40% of 650 $÷$13 = 45 - ?

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0 639
Q:

Simplify the fraction?

5 (2/7) - 3 (1/14) - 2 (1/14) - 1 (1/7) = ? + 3 (1/17)

 A) -4 (1/17) B) 5 (2/17) C) -2 (1/17) D) 3 (3/17)

Answer & Explanation Answer: A) -4 (1/17)

Explanation:

Given fraction is 5 (2/7) - 3 (1/14) - 2 (1/14) - 1 (1/7) = ? + 3 (1/17)

It can be written as

(5 - 3 - 2 - 1) + (2/7 - 1/14 - 1/14 - 1/7) = ? +  3 (1/17)

-1 + 0 - 3 (1/17) = ?

=> ? = -4 (1/17)

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2 618
Q:

5 + 2 x 10/2 = ?

 A) 15 B) 35 C) 10 D) 20

Answer & Explanation Answer: A) 15

Explanation:

Using BODMAS Rule,

First solve division, mutiplication and Addition

So here 10/2 = 5

Then 2 x 5 =  10

Now, 5 + 10 = 15.

Hence, 5 + 2 x 10/2 = 15.

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4 753
Q:

Simplify the following :

 A) 10 B) 24 C) 36 D) 40

Answer & Explanation Answer: A) 10

Explanation:

Given equation can be written as

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0 596