35
Q:

# In a class of 60 students, the number of boys and girls participating in the annual sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then how many girls are there in the class ?

 A) 20 B) 25 C) 30 D) Data inadequate

Explanation:

Let the number of boys and girls participating in sports be 3x and 2x respectively.

Then, 3x = 15 or x = 5.

So, number of girls participating in sports = 2x = 10.

Number of students not participating in sports = 60 - (15 + 10) = 35.

Let number of boys not participating in sports be y.

Then, number of girls not participating in sports = (35 -y).

Therefore (35 - y) = y + 5 <=> 2y<=>  30<=> y = 15.

So, number of girls not participating in sports = (35 - 15) = 20.

Hence, total number of girls in the class = (10 + 20) = 30.

Q:

How many black cards are in a deck?

 A) 13 B) 26 C) 39 D) 52

Explanation:

The total cards in the deck are 52. These 52 cards are divided into 4 suits of 13 cards in each suit. Two Red suits and Two black suits.

Red suits :: Heart suit and Diamond suit = 26

Black suits :: Spade suit and Club suit = 26.

0 49
Q:

6 choose 3 =

 A) 20 B) 30 C) 18 D) 24

Explanation:

6 choose 3 means number of possible unordered combinations when 3 items are selected from 6 available items i.e, nothing but 6C3.

Now 6C3 = 6 x 5 x 4/3 x 2 x 1 = 120/6 = 20.

0 25
Q:

Which of the following is a Composite number?

 A) 0 B) 19 C) 29 D) 91

Explanation:

Here in the given numbers 91 is a Composite number. Since it has factors of 7 and 13 other than 1 and itself.

Composite Numbers :

A composite number is a positive integer which is not prime (i.e., which has factors other than 1 and itself).

Examples :: 4, 6, 8, 12, 14, 15, 18, 20, ...

1 91
Q:

What is the value of a two–digit number?

A. The sum of the digits is 15.
B. The difference of the squares of the digits is 45.
C. The difference of their digits is 3.

 A) B and C together are sufficient B) Any one pair of A and B, B and C or C and A is sufficient C) C and A together are sufficient D) A and B together are sufficient

Answer & Explanation Answer: B) Any one pair of A and B, B and C or C and A is sufficient

Explanation:

From the given data,

Let the two gits of a number be x & y

A) x + y = 15

B)

(x+y) (x - y) = 45

C) x - y = 3

From any 2 of the given 3 statements, we can find that 2 digit number as

2x = 18 => x = 9

=> y = 6

Hence, 2 digit number is 96.

Any one pair of A and B, B and C or C and A is sufficient to find.

1 67
Q:

How can we get 24 as an answer by using 6, 11, 3 and 9?

This can be solved in two ways using only 6, 11, 9 and 3 we must get 24.

1. {[(11–6) x 3] + 9}

By solving this we get

5 x 3 + 9 = 15 + 9 = 24.

2. [(9–6) x (11–3)]

= 3 x 8 = 24.

106
Q:

Negative divided by Negative

 A) -ve B) +ve C) 0 D) Can't be determined

Explanation:

We know the Mathematical rules that

6 178
Q:

Are Alternate Exterior Angles congruent?

 A) TRUE B) FALSE

Explanation:

We know that,

Alternate Exterior Angles Theorem::

The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent .

Converse of the Alternate Exterior Angles Theorem ::

Converse of the Alternate Exterior Angles Theorem states that, If two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel.

1 104
Q:

Which is called 'OFF State' in binary?

 A) 4 B) 3 C) 2 D) 1