2
Q:

# Find by how much percentage the average of first 10 odd numbers (starting from 1) is greater than the last term ?

 A) 991/16 % B) 900/19 % C) 874/13 % D) 719/17 %

Explanation:

First ten odd numbers form an arithmetic progression of the form
1,3,5,7,9......
here a = first term = 1
d = common difference = 2
Average of first n numbers = (2a + (n - 1)d)/2
n th term of the AP = a + (n - 1)d
Substituting a = 1, d = 2 and n = 10 in the above formulas
average of first 10 numbers = 10
10 th term of the AP = 19
Therefore average of first 10 terms is 19 - 10 = 9 greater than
the last term. Hence the average is greater than the sum by
9/19 X 100 = 900/19 %

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 40
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 20
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 80
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 60
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.

96
Q:

Negative divided by Negative

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

Explanation:

We know the Mathematical rules that

4 173
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.

1 100
Q:

Which is called 'OFF State' in binary?

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