## Numerical Ability

#### Numerical Ability

1. S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked, S and M have 6 hour shifts in a day, whereas E and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the project?

1. M efficiency = 2 [efficiency of S, E and F]
Contribution of M in the project = x days × 6 hrs × 2
Contribution of E in the project = 2x days × 12 hrs × 1
Contribution of M: Contribution of E x × 6 × 2 : 2x × 12 × 1
1: 2

##### Correct Option: B

M efficiency = 2 [efficiency of S, E and F]
Contribution of M in the project = x days × 6 hrs × 2
Contribution of E in the project = 2x days × 12 hrs × 1
Contribution of M: Contribution of E x × 6 × 2 : 2x × 12 × 1
1: 2

1. Mola is a digital platform for taxis in a city. It offers three types of rides – Pool, Mini and Prime. The table below presents the number of rides for the past four months. The platform earns one US dollar per ride. What is the percentage share of revenue contributed by Prime to the total revenues of Mola, for the entire duration?

1. Here,
Revenue shared by pool = 170 + 320 + 215 + 190 = 895\$
Similarly,
Revenue shared by mini = 110 + 220 + 180 + 70 = 580\$
and,
Revenue shared by prime = 75 + 180 + 120 + 90 = 465\$
Now, percentage share of revenue contributed by prime

 = 465 = 23.97% 895 + 580 + 465

##### Correct Option: A

Here,
Revenue shared by pool = 170 + 320 + 215 + 190 = 895\$
Similarly,
Revenue shared by mini = 110 + 220 + 180 + 70 = 580\$
and,
Revenue shared by prime = 75 + 180 + 120 + 90 = 465\$
Now, percentage share of revenue contributed by prime

 = 465 = 23.97% 895 + 580 + 465

1. A right-angled cone (with base radius 5 cm and height 12 cm), as shown in fte figure below, is rolled on the ground keeping the point P fixed until the point Q (at the base of the cone, as shown) touches the ground again.

1. Base radius = 5cm, Height = 12 cm. So Slant Height = 13cm.
If, we open it now then it appears as an arc with its radius = Slant Height of the cone = 13 cm.
Length of the arc = Circumfernce of the cone = 2×pie×5 = 10 pie cm
Now, when, length of arc is 2×p×13, angle subtended is 2pie.
So, angle subtended when length of arc is 10pie
= 2pie/26pie × 10pie = 10pie/13.

##### Correct Option: D

Base radius = 5cm, Height = 12 cm. So Slant Height = 13cm.
If, we open it now then it appears as an arc with its radius = Slant Height of the cone = 13 cm.
Length of the arc = Circumfernce of the cone = 2×pie×5 = 10 pie cm
Now, when, length of arc is 2×p×13, angle subtended is 2pie.
So, angle subtended when length of arc is 10pie
= 2pie/26pie × 10pie = 10pie/13.

1. P, Q, and R talk about S's car collection, P states that S has at least 3 cars. Q believes that S has less than 3 cars, R says that to his knowledge, S has at least one car. Only one of P, Q and R is right. The number of cars owned by S is

1. According to P, S > = 3
According to Q, S < 3
According to R, S > = 1
From this we get that P's and Q's statements contradict each other while R supports the statement of P. However, only one among them is right so it has to be Q when S has zero cars.

##### Correct Option: A

According to P, S > = 3
According to Q, S < 3
According to R, S > = 1
From this we get that P's and Q's statements contradict each other while R supports the statement of P. However, only one among them is right so it has to be Q when S has zero cars.

1. In a company with 100 employees, 45 earn Rs. 20000 per month, 25 earn Rs. 30000,20 earn Rs. 40000,8 earn Rs. 60000, and 2 earn Rs. 150000. The median of the salaries is

1.  Median = 100 + 1 = 50.5 2

From cumulative column,
Median salary = 30000

##### Correct Option: B

 Median = 100 + 1 = 50.5 2

From cumulative column,
Median salary = 30000