# Numbers Questions

Q:

How many terms are in the G.P. 3, 6, 12, 24, ......., 384 ?

 A) 8 B) 9 C) 10 D) 11

Answer & Explanation Answer: A) 8

Explanation:

Here a = 3 and r = 6/3 = 2. Let the number of terms be n.
Then, t = 384 => a * r^(n-1) = 384
=> 3 * 2^(n-1) = 384 => 2^(n-1) = 128 = 2^(7)

=> n-1 = 7 => n = 8.

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5 3924
Q:

What is the greatest of 3 consecutive integers whose sum is 24 ?

 A) 6 B) 7 C) 8 D) 9

Answer & Explanation Answer: D) 9

Explanation:

The sum of three consecutive integers can be written as n + (n + 1) + (n + 2) = 3n + 3

If the sum is 24, we need to solve the equation 3n + 3 = 24;

=> 3n = 21;

=> n = 7

The greatest of the three numbers is therefore 7 + 2 = 9

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5 3840
Q:

If 60% of $\inline \frac{3}{5}$ of a number is 36, then the number is

 A) 86 B) 94 C) 100 D) 115

Answer & Explanation Answer: C) 100

Explanation:

Let the number be x.Then

60% of ${\color{Black}&space;\frac{3}{5}}$of x=36.

${\color{Black}&space;\Rightarrow&space;}$${\color{Black}&space;\frac{60}{100}\times&space;\frac{3}{5}\times&space;x=36}$

${\color{Black}&space;\Rightarrow&space;x=100}$

Required number is 100.

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13 3828
Q:

A piece of ribbon 4 yards long is used to make bows requiring 15 inches of ribbon for each. What is the maximum number of bows that can be made?

 A) 8 B) 9 C) 10 D) 11

Answer & Explanation Answer: B) 9

Explanation:

The maximum number of bows will be 4 yards (= 4 x 36 inches) divided by 15 inches.

This gives 9.6. But as a fraction of a bow is no use, we can only make 9 bows.

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9 3581
Q:

A number when divided by 779 gives a remainder 47. By dividing the same number by 19, what would be the remainder?

Answer

Number = ( 779 x a) + 47, where "a" is the quotient

= (19 x 41 x a) + (19 x 2) + 9

= 19 x (41a + 2) + 9

= 19 x (New quotient) + 9

$\inline&space;\fn_jvn&space;\therefore$  Required remainder = 9

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3449