# Numbers Questions

Q:

Find the sum to 200 terms of the series 2 + 5 + 7 + 6 + 12 + 7 + ....

 A) 30,400 B) 30,200 C) 34,600 D) 38,400

Explanation:

we can treat every two consecutive terms as one.
So, we will have a total of 100 terms of the nature:
(2 + 5) + (7 + 6) + (12 + 7).... => 7, 13, 19,....

We know the sum of n terms  $\frac{n\left(n+1\right)}{2}$

Now, a= 7, d=6 and n=100
Hence the sum of the given series is
S= 100/2 x[2 x 7 + 99 x 6]
=> 50[608]
=> 30,400.

3 741
Q:

What should be the maximum value of B in the following equation?
8A9 – 6B2 + 4C6 = 723

 A) 4 B) 1 C) 5 D) 7

Explanation:

1 1
8 A 9
+ 4 C 6
-  6 B 2
7 2 3
We may represent the given sum, as shown below:

1 + A + C - B = 12
A + C - B = 11

Now,giving the maximum values to A and C, i.e.

A = 9 and C = 9, we get B = 7.

4 733
Q:

Two bus tickets from city K to L and three tickets from city K to M cost Rs. 77,  but three tickets from city K to L and two tickets from city K to M cost Rs. 73. What are the fares for cities L and M from K ?

 A) Rs. 13 and Rs. 17 B) Rs. 17 and Rs. 19 C) Rs. 23 and Rs. 17 D) Rs. 13 and Rs. 19

Explanation:

If fares for cities L and M from K are x and y respectively, then

2x + 3y = 77 or 6x + 9y = 231...(1)
3x + 2y = 73 or 6x + 4y = 146...(2)

subtracting 2 from 1, we get

5y = 85

y = Rs. 17 => x = Rs. 13

1 732
Q:

How many numbers with distinct digits are possible product of whose digits is 18?

 A) 12 B) 8 C) 6 D) 4

Explanation:

Two digit numbers: The two digits can be 2 and 9: Two possibilities 29 and 92.

Three-digit numbers: The three digits can be 1, 2 and 9 => 3! Or 6 possibilities.

We cannot have three digits as (3, 3, 2) as the digits have to be distinct.

We cannot have numbers with 4 digits or more without repeating the digits.

So, there are totally 8 numbers.

4 724
Q:

How many digits will be there to the right of the decimal point in the product of 85.44 and .08455 ?

 A) 7 B) 5 C) 4 D) 6

Explanation:

Sum of decimal places = 7.

Since the last digit to the extreme right will be zero (since 4 x 5 = 20), so there will be 6 significant digits to the right of the decimal point.

3 683
Q:

K men agree to donate a gift of Rs. L to trust. If three men drop out how much more will each have to contribute towards the purchase of the gift ?

 A) L / (k-3) B) k / (L-3) C) 2K / 3L-K D) 3L / K(K-3)

Explanation:

Intial contribution = L/K
After 3 men drop, then contribution =L/K-3
The amount more to pay in contribution =

$\frac{3L}{K\left(K-3\right)}$

2 602
Q:

Find the next number in the series 141,137,146,130,155,119,...

 A) 147 B) 168 C) 162 D) 182

Explanation:

The pattern is -4, +9,-16, +25, -36

The next number=119+49=168

4 601
Q:

Find the remainder when ${\mathbf{6}}^{\mathbf{29}}$ is divided by 5 ?

 A) 0 B) 1 C) 3 D) 5