## Numerical Ability

#### Numerical Ability

1. Find the next term in the sequence: 7 G, 11 K, 13M, _______.

1. In 7G - G is the 7th alphabet
11K - K is the 11th alphabet
13M - M is the 13th alphabet
Also, 7, 11, 13 are prime numbers, so next prime number will be 17 with correct answer as 17Q.

##### Correct Option: B

In 7G - G is the 7th alphabet
11K - K is the 11th alphabet
13M - M is the 13th alphabet
Also, 7, 11, 13 are prime numbers, so next prime number will be 17 with correct answer as 17Q.

1. The multi-level hierarchical pie chart shows the population of animals in a reserve forest. The correct conclusions from this information are:

(i) Butterflies are birds
(ii) There are more tigers in this forest than red ants
(iii) All reptiles in this forest are either snakes or crocodiles
(iv) Elephants are the largest mammals in this forest

1. It is not mentioned that elephant is the largest animal.

##### Correct Option: D

It is not mentioned that elephant is the largest animal.

1. A five digit number is formed using the digits 1,3,5,7 and 9 without repeating any of them. What is the sum of all such possible five digit numbers?

1. The digit in unit place is selected in 4! Ways
The digit in tens place is selected in 4! Ways
The digit in hundreds place is selected in 4! Ways
The digit in thousands place is selected in 4! Ways
The digit in ten thousands place is selected in 4! Ways
Sum of all values for 1
4! × 1 × (100 + 101 + 102 + 103 +104) = 4! × 11111 × 1
Similarly for ‘3’ 4! × (11111) × 3
Similarly for ‘5’ 4! × (11111) × 5
Similarly for ‘7’ 4! × (11111) × 7
Similarly for ‘9’ 4! × (11111) × 9
∴ sum of all such numbers
4! × (11111)× (1+ 3 + 5 + 7 + 9)
= 24 × (11111) × 25
= 6666600

##### Correct Option: B

The digit in unit place is selected in 4! Ways
The digit in tens place is selected in 4! Ways
The digit in hundreds place is selected in 4! Ways
The digit in thousands place is selected in 4! Ways
The digit in ten thousands place is selected in 4! Ways
Sum of all values for 1
4! × 1 × (100 + 101 + 102 + 103 +104) = 4! × 11111 × 1
Similarly for ‘3’ 4! × (11111) × 3
Similarly for ‘5’ 4! × (11111) × 5
Similarly for ‘7’ 4! × (11111) × 7
Similarly for ‘9’ 4! × (11111) × 9
∴ sum of all such numbers
4! × (11111)× (1+ 3 + 5 + 7 + 9)
= 24 × (11111) × 25
= 6666600

1. Industrial consumption of power doubled from 2000-2001 to 2010-2011. Find the annual rate of increase in percent assuming it to be uniform over the years.

1. 10 or more than 10 can't be the right answer because of compounding. Hence, 7.2 will be the right answer.

##### Correct Option: B

10 or more than 10 can't be the right answer because of compounding. Hence, 7.2 will be the right answer.

1. A firm producing air purifiers sold 200 units in 2012. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportation costs in the total manufacturing cost of the firm in 2012. The expenditure on labour in 2012 is Rs. 4,50,000. In 2013, the raw material expenses increased by 30% and all other expenses increased by 20%. What is the percentage increase in total cost for the company in 2013?

1. Percentage increase in total cost = 22%

##### Correct Option: A

Percentage increase in total cost = 22%