1. In an election of 3 candidates A, B and C, A gets 50% more votes than B. A also beats C by 1,80,00 votes. If it is known that B gets 5 percentage point more votes than C, find the number of voters on the voting list (given 90% of the voters on the voting list voted and no votes were illegal)
(a) 72,000
(b) 81,000
(c) 90,000
(d) 1,00,000
(a) 72,000
(b) 81,000
(c) 90,000
(d) 1,00,000
2. A clock is set right at 12 noon on Monday. It loses 1/2% on the correct time in the first week but gains 1/4% on the true time during the second week. The time shown on Monday after two weeks will be
(a) 12 : 25 : 12
(b) 11 : 34 : 48
(c) 12 : 50 : 24
(d) 12 : 24 : 16
(a) 12 : 25 : 12
(b) 11 : 34 : 48
(c) 12 : 50 : 24
(d) 12 : 24 : 16
3. The petrol prices shot up by 7% as a result of the hike in the price of crudes. The price of petrol before the hike was ` 28 per litre. Vawal travels 2400 kilometres every month and his car gives amileage of 18 kilometres to a litre. Find the increase in the expenditure that Vawal has to incur due to the increase in the price of petrol (to the nearest rupee)?
(a) 270
(b) 262
(c) 276
(d) 272
(a) 270
(b) 262
(c) 276
(d) 272
4. For Question 3, by how many kilometres should Vawal reduce his travel if he wants to maintain his expenditure at the previous level (prior to the price increase)?
(a) 157 km
(b) 137 km
(c) 168 km
(a) 157 km
(b) 137 km
(c) 168 km
(d) 180 km
5. In Question 3, if Vawal wants to limit the increase in expenditure to ` 200, what strategy should he adopt with respect to his travel?
(a) Reduce travel to 2350 kilometres
(b) Reduce travel to 2340 kilometres
(c) Reduce travel to 2360 kilometres
(d) None of these
(a) Reduce travel to 2350 kilometres
(b) Reduce travel to 2340 kilometres
(c) Reduce travel to 2360 kilometres
(d) None of these
6. A shopkeeper announces a discount scheme as follows: for every purchase of 3000 to 6000, the customer gets a 15% discount or a ticket that entitles him to get a 7% discount on a further purchase of goods costing more than 6000. The customer, however, would have the option of reselling his right to the shopkeeper at 4% of his initial purchase value (as per the right refers to the 7% discount ticket). In an enthusiastic response to the scheme, 10 people purchase goods worth 4000 each. Find the maximum. Possible revenue for the shopkeeper.
(a) 38,400
(b) 38,000
(c) 39,400
(d) 39,000
(a) 38,400
(b) 38,000
(c) 39,400
(d) 39,000
7. For question 6, find the maximum possible discount that the shopkeeper would have to offer to the customer.
(a) 1600
(b) 2000
(c) 6000
(d) 4000
(a) 1600
(b) 2000
(c) 6000
(d) 4000
(Directions for Questions 8 to 10):- Read the following and answer the questions that follow.
Two friends Shayam and Kailash own two versions of a car. Shayam owns the diesel version of the car, while Kailash owns the petrol version. Kailash’s car gives an average that is 20% higher than Shayam’s (in terms of litres per kilometre). It is known that petrol costs 60% of its price higher than diesel.
8. The ratio of the cost per kilometre of Kailash’s car to Shayam’s car is
(a) 3 : 1
(b) 1 : 3
(c) 1.92 : 1
(d) 2 : 1
(a) 3 : 1
(b) 1 : 3
(c) 1.92 : 1
(d) 2 : 1
9. If Shayam’s car gives an average of 20 km per litre, then the difference in the cost of travel per kilometre between the two cars is
(a) 4.3
(b) 3.5
(c) 2.5
(d) Cannot be determined
(a) 4.3
(b) 3.5
(c) 2.5
(d) Cannot be determined
10. For Question 9, the ratio of the cost per kilometre of Shayam’s travel to Kailash’s travel is
(a) 3 : 1
(b) 1 : 3
(c) 1 : 1.92
(d) 2 : 1
(a) 3 : 1
(b) 1 : 3
(c) 1 : 1.92
(d) 2 : 1
Answers:-
d
a
b
a
d
a
c
a
d
a
d
a
b
a
d
a
c
a
d
a
Solutions:-
1. A = 1.5 B , A – C = 180000 and B = 1.05 C. Solve to get A, B and C. Also, A + B + C = 90% of total voters on voting list. This will give you the answer. Ideally solve this question through options.
1. A = 1.5 B , A – C = 180000 and B = 1.05 C. Solve to get A, B and C. Also, A + B + C = 90% of total voters on voting list. This will give you the answer. Ideally solve this question through options.
2. Clock loses 0.5% of 168 hours in the first week and gains 0.25% of 168 hours in the second week. Hence, net loss is 0.25% of 168 hours.
3. Vawal uses 133.33 litres of petrol every month, while the price of petrol has gone up by 1.96. Hence, the increase in expenditure = 133.33 * 1.96 = 261 approximately.
6. Maximum revenue for the shopkeeper will occur when the minimum discount offer is used by the customer. This level is 4%.
7. This is the case of maximum discounts.
Hints for Questions 8-10
8. Average in liter per kilometre multiplied by the Cost of fuel in `/litre will give the required cost per kilometre.
9. Shyam’s car gives 20 km/litre means 0.05 litres per kilometre then Kailash’s car gives 0.06 litre/km. However, since we do not know the price of petrol or diesel we cannot find out the difference in the cost of travel.
10. This question is the opposite of question 8.
