11
Q:

# In a note collection, there is one new Rs.2000 note for every three old Rs.500 notes. 10 more new Rs.2000 notes are added to the collection and the ratio of new Rs.2000 notes to old Rs.500 notes would be 1: 2. Based on the information, the total number of notes in the collection now becomes?

 A) 60 B) 30 C) 70 D) 90

Explanation:

Let 'x' be the number of new Rs.2000 notes.

Given for one new 2000 note there are three old 500 notes.

i.e, 3x

Given 10 more new Rs.2000 notes are added to the collection
and the ratio of new Rs.2000 notes to old Rs.500 notes

$\frac{x+10}{3x}=\frac{1}{2}⇒x=20$

Therefore, number of new Rs.2000 notes =  x+10 = 30.

old Rs.500 notes = 3x = 60.

Thus, the total number of notes in the collection  = 30 + 60 = 90.

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