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Q #16
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Quants Question

Directions: Read the following information to answer the question.

Abhay, Ajay and Vijay wish to travel from town A to town B. They have one motorcycle which can be driven by any of them but can carry only two persons at a time. The distance between the two towns is 105 km and the speed at which they can walk is 5 kmph. If the speed of the motorcycle is 35 kmph then what is the total distance that the bike travels if they travel such that all three of them reach town B simultaneously?

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If speed of bike = 35 kmph

    i.e., the bike travels 7 times as fast as they can walk 

    then CD + DB = 7CB

    ⇒ DC = 3x (let CB = x)

    IIIly AD = x

    ⇒ AB = 5x = 105 km  ⇒ x = 21 km

    The bike travel AC + CD + DB = 11x = 11 x 21

 


Q #17
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Quants Question

Directions: Read the following information to answer the question.

There are three major cities in Maharashtra Mumbai, Pune and Nagpur which form the vertices of a triangle. A trader in any city will trade to that city which is close to his city as per linear distance. Shortest distance between Pune and Nagpur is 350 km. The measure of angle between line joining Mumbai and Pune and Mumbai and Nagpur is 45°. The measure of angle between line joining Mumbai and Pune and Pune and Nagpur is 60°.

What is the Minimum cost of transport for trade from Mumbai if transport cost = Rs.3/km?

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A trader from Mumbai will have minimum cost of transport if trades with city

which close to Mumbai. Thus he should trade with Nagpur for Minimum

Transport cost. Thus minimum Transport cost = 425 × 3 = 1300.


Q #18
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Quants Question

In a box there are 90 slips numbered from 1 to 90. Ramu picks up four slips at random one after the other without replacement. What is the probability that the numbers on the slips in the order he has picked up is ascending?

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Since the slips are picked up one after the other without replacement, they have distinct numbers on them 4 distinct numbers can be arranged among themselves in 4! ways. (i.e. 24 ways). Of these 24 ways only one arrangement is in ascending order.

    ∴ The required probability = 1/24.


Q #19
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Quants Question

2 mothers & their respective child needs to be interviewed by the principal of a school. In how many ways it can be done such that each mother is interviewed before her respective child ?

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No. of ways = (4 x 3 x 2 x 1)/ (2 x 2) = 6 ways.


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