The Twisted Ones: Maths

1.After receiving two successive raises, Gopal’s salary become equal to 15/8 times of his initial salary. By how much percent was the salary raised the first time if the second raise was twice as high (in percent) as the first?

1) 15%

2) 20%

3) 25%

4) 30%

5) 33.33%

Ans.3

2.A Merchant gives 3 consecutive discounts of 10%. 15% and 15% after which he sells his goods at a percentage profit of 30.05% on the C.P. Find the value of the percentage profit that the shopkeeper would have earned if he had given discount of 10% and 15% only.

1) 53%

2) 62.5%

3) 72.5%

4) 68.6%

5) 69.2%

Ans.1

3.Arun sells to Bimal goods at five-thirds the rate of profit at which Bimal has decided to sell it to Chahal. Chahal, on other hand, sells it to Dev at one-third the rate of profit at which Bimal sold it to Chahal. If Dev gives Rs. 2145 to Chahal at 10% profit, how much did Arun buy it for?

1) Rs. 1000

2) Rs. 2000

3) Rs. 1500

4) Rs. 1800

5) None of these

Ans.1

4.A sum of Rs. 1000 after 3 years at compound interest becomes a certain amount that is equal to the amount that is the result of a 3 year depreciation from Rs. 1728. Find the difference between the rates of CI and depreciation. (Given CI is 10% p.a.).

1) 3.33%

2) 0.66%

3) 3.67%

4) 8.33%

5) 1.67%

Ans.5

5.A mixture can be prepared by sugar and salt. Price of sugar is thrice the price of salt. Kunal sells the mixture at Rs. 2160 per 10g, thereby making a profit of 20%. If the ratio of sugar  and salt in the mixture be 2 : 3, find the cost price of sugar.

1) Rs. 210/gm

2) Rs. 300/gm

3) Rs. 120/gm

4) Rs. 354/gm

5) None of these

Ans.2

6.An Irrigation dam has four inlets. Through the fist three inlets, the dam can be filled in 12 minutes; through the second, the third and the fourth inlet, it can be filled in 15 minutes; and through the first and the fourth inlet, in 20 minutes. How much time will it take all the four inlets to fill up the dam?

1) 8 min

2) 10 min

3) 12 min

4) 16 min

5) None of these

Ans.2

7.Two boats go downstream from point X to point Y. The faster boat covers the distance from X to Y 1.5 times as fast as the slower boat. It is known that for every hour the slower boat lags behind the faster boat by 8 km. However, if they go upstream, then the faster boat covers the distance from Y to X in half the time as the slower boat. Find the speed of the faster boat in still water.

1) 12 kmph

2) 20 kmph

3) 24 kmph

4) 25 kmph

5) None of these

Ans.2

Speed Of the faster boat in still water = 20 kmph

8.In an exam, the average was found to be 'x' marks. After deducting computational error, the average marks of 94 candidates got reduced from 84 to 64. The average thus came down by 18.8 marks. The numbers of candidates who took the exam were:

1) 100

2) 90

3) 110

4) 105

5) 120

Ans.1

9.A Statue is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if the height of conical part is 12 cm.

1) 1440 cm2

2) 385 cm2

3) 1580 cm2

4) 770 cm2

5) 880 cm2

Ans.4

10.The probability that a contractor will get a plumbing contract is 2/3 and the probability that he will get an electric contract is 5/9. If the probability of getting at least one contract is 4/5, what is the probability that he will get both the contracts?

1) 19/45

2) 13/45

3) 12/35

4) 11/23

5) None of these

Ans.1

Directions (Q. 11-15): Big-bazar Exports produces five types of trousers–A, B, C, D and E, using cloth of three qualities–high, medium and low, and dyes of three qualities–high, medium and low, one trouser require 3 m of cloth. The following table gives specific information about the production in year 2005. It gives information about:

1. The number of trousers (of each category) produced, in thousands.

2. The percentage distribution of cloth quality in each type of trousers, and

3. The percentage distribution of dye quality in each type of trousers.

11.What is the total requirement of cloth?

1) 300,000 m

2) 450,000 m

3) 600,000 m

4) 150, 000 m

5) None of these

Ans.3

1.       (3); Total trousers=200000

So cloth required= 200000*3

12.How many metres of medium quality cloth in consumed?

1) 264,000m

2) 288,000m

3) 312,000m

4) 576, 000m

5) None of these

Ans.2

13.How many metres of low-quality cloth in consumed by C-type trousers?

1) 24,000 m

2) 48,000 m

3) 60,000 m

4) 36,000 m

5) None of these

Ans.4

14.What is the ratio of three qualities of dyes in high-quality cloth?

1) 2 : 3 : 4

2) 1 : 3 : 6

3) 7 : 8 : 12

4) Cannot be determined

5) None of these

Ans.4

No relationship among quality and dye is given

Hence, cannot be determined

15.What is the ratio of low-quality dye used for A-type to that used for B-type trousers?

1) 1 : 3

2) 3 : 8

3) 1 : 2

4) 4 : 9

5) None of these

Ans.4