## Numerical Ability

#### Numerical Ability

1. The total exports and revenues from the exports of a country are given in the two charts shown below. The pie chart for exports shows the quantity of each item exported as a percentage of the total quantity of exports. The pie chart for the revenues shows the percentage of the total revenue generated through export of each item. The total quantity of exports of all the items is 500 thousand tonnes and the total revenues are 250 crore rupees. Which item among the following has generated the maximum revenue per kg?

1. Item: 2

 20 × 250 × 107 100 20 × 500 × 103 100

0.5 × 104 = 5 × 103 = Item 2
Item : 3
 23 × 250 × 107 19 × 500 × 103

1.2 = Item 3
Item : 6
 19 = 1.18 = Item 6 16

Item : 5
 20 = 5 = 1.6 ⇒ 1.6 = Item 5 12 3

##### Correct Option: D

Item: 2

 20 × 250 × 107 100 20 × 500 × 103 100

0.5 × 104 = 5 × 103 = Item 2
Item : 3
 23 × 250 × 107 19 × 500 × 103

1.2 = Item 3
Item : 6
 19 = 1.18 = Item 6 16

Item : 5
 20 = 5 = 1.6 ⇒ 1.6 = Item 5 12 3

1. A train that is 280 metres long, travelling at a uniform speed, crosses a platform in 60 seconds and passes a man standing on the platform in 20 seconds. What is the length of the platform in metres?

1. Let the length of platform = x m
and train length = 280 m (given)
According to Question

 x + 280 = 280 60 20

∴ x = 560 m.

##### Correct Option: D

Let the length of platform = x m
and train length = 280 m (given)
According to Question

 x + 280 = 280 60 20

∴ x = 560 m.

1. For submitting tax returns, all resident males with annual income below Rs 10 lakh should fill up Form P and all resident females with income below Rs 8 lakh should fill up Form Q. All people with incomes above Rs 10 lakh should fill up Form R, except non residents with income above Rs 15 lakhs, who should fill up Form S. All others should fill Form T. An example of a person who should fill Form T is

1. By reading the instructions, it is clear that person who fills form T is a resident female with annual income of ₹ 9 Lakh.

##### Correct Option: B

By reading the instructions, it is clear that person who fills form T is a resident female with annual income of ₹ 9 Lakh.

1. You are given three coins: one has heads on both faces, the second has tails on both faces, and the third has a head on one face and a tail on the other. You choose a coin at random and toss it, and it comes up heads. The probability that the other face is tails is

1.  The probability that the other face is tail is 1 . 3

##### Correct Option: B

 The probability that the other face is tail is 1 . 3

1. A man can row at 8 km per hour in still water. If it takes him thrice as long to row upstream, as to row downstream, then find the stream velocity in km per hour.

1. Speed of man = 8;
Left distance = d
Time taken = 8/d
Upstream: Speed of stream = s
⇒ speed upstream = S’ = (8 – s)

 t' = d 8 - s

Downstream:
 Given speed downstream = t" = d 8 + s

⇒ 3t' = t"
 ⇒ 3d = d 8 - s 8 + s

⇒ s = 4 Km/hr

##### Correct Option: A

Speed of man = 8;
Left distance = d
Time taken = 8/d
Upstream: Speed of stream = s
⇒ speed upstream = S’ = (8 – s)

 t' = d 8 - s

Downstream:
 Given speed downstream = t" = d 8 + s

⇒ 3t' = t"
 ⇒ 3d = d 8 - s 8 + s

⇒ s = 4 Km/hr