## Numerical Ability

#### Numerical Ability

1. Given the sequence of terms, AD, CG, FK, JP, the next term is
1. OV
2. OW
3. PV
4. PW

1. ##### Correct Option: A 1. The cost function for a product in a firm is given by 5q2, where q is the amount of production. The firm can sell the product at a market price of Rs 50 per unit. The number of units to be produced by the firm such that the profit is maximized is
1. 5
2. 10
3. 15
4. 25

1. p = 50q – 5q2

 ∴ dp = 50 - 10q dq

 d2p < 0 dq2

Hence p is maximum at 50 – 10q = 0 or q = 5 Alternately check with options.

##### Correct Option: A

p = 50q – 5q2

 ∴ dp = 50 - 10q dq

 d2p < 0 dq2

Hence p is maximum at 50 – 10q = 0 or q = 5 Alternately check with options.

1. A transporter receives the same number of orders each day. Currently, he has some pending orders (backlog) to be shipped. If he uses 7 trucks, then at the end of the 4th day he can clear all the orders. Alternatively, if he uses only 3 trucks, then all the orders are cleared at the end of the 10th day. What is the minimum number of trucks required so that there will be no pending order at the end of the 5th day?
1. 4
2. 5
3. 6
4. 7

1. Let each truck carry 100 units.
2800 = 4n + e where, n = normal
3000 = 10n + e

 where, e = excess pending

 ∴ n = 100 3

 e = 8000 3

 ⇒ 5 days → 500x = 5 × 100 + 8000 3 3

 ⇒ 500x = 8500 3

 ⇒ x = 17 3

⇒ x > 5
Minimum possible = 6

##### Correct Option: C

Let each truck carry 100 units.
2800 = 4n + e where, n = normal
3000 = 10n + e

 where, e = excess pending

 ∴ n = 100 3

 e = 8000 3

 ⇒ 5 days → 500x = 5 × 100 + 8000 3 3

 ⇒ 500x = 8500 3

 ⇒ x = 17 3

⇒ x > 5
Minimum possible = 6

1. P, Q, R and S are four types of dangerous microbes recently found in a human habitat. The area of each circle with its diameter printed in brackets represents the growth of a single microbe surviving human immunity system within 24 hours of entering the body. The danger to human beings varies proportionately with the toxicity, potency and growth attributed A pharmaceutical company is contemplating the development of a vaccine against the most dangerous microbe. Which microbe should the company target in its first attempt?
1. P
2. Q
3. R
4. S

1. By observation of the table, we can say S ##### Correct Option: D

By observation of the table, we can say S 1. The variable cost (V) of manufacturing a product varies according to the equation V= 4q, where q is the quantity produced. The fixed cost (f) of production of same product reduces with q according to the equation F= 100/q. How many units should be produced to minimize the total cost(V + F)?
1. 5
2. 4
3. 7
4. 6

1. Checking with all options in formula (4q + 100/q) i.e. (V + F). Option (a) gives minimum cost.

##### Correct Option: A

Checking with all options in formula (4q + 100/q) i.e. (V + F). Option (a) gives minimum cost.