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8. . . . . . . . . J. W. Marriott is on . . . . . . . . Baker Street.
9. I work in . . . . . . . . company that makes . . . . . . . . carpets
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Mathematics
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Q.1- If (4x-3y) : (2x+5y) =12 : 19 then x : y is…….
Answer- 3 : 2
Q.2- What percentage is 3% of 5%?
Answer- 60%
Q.3- If x : y = 6 : 5, then (5x+3y) : (5x-3y) is equal to……
Answer- 3 : 1
Q.4- The ratio of the two numbers is 3 : 4 and their sum is 420. The greater of the two numbers is……
Answer- 240
Q.5- If A’s income is 33 1/3 % more than that of B, then how much percent is B’s income less than that of A?
Answer- 25%
Q.6- To fill a cistern, pipes A, B and C take 20 minutes, 15 minutes and 12 minutes respectively. The time in minutes, that the three pipes together will take to fill the cistern, is…….
Answer- 5
Q.7- Two buses travel to a place at 45 km/ph and 60 km/ph respectively. If the second bus takes 5 ½ hours less than the first for the journey, the length of the journey is….
Answer- 990 km
Q.8- A man buys eggs at 2 for Rs. 1 and an equal number at 3 for Rs. 2 and sells the whole at 5 for Rs. 3. His gain or loss percent is…….
Answer- 2 6/7 %
Q.9- A sells a bicycle to B at a profit of 20% and B sells it to C at a profit of 25%. If C pays Rs. 1500, what did A pay for it?
Answer- Rs. 1000
Q.10- A dealer professing to sell his goods at C.P., uses a 900-gm weight for a kg. His gain percent is……
Answer- 11 1/9 %
Q.11- Two mixers and TV costs Rs. 7000, while 2 TVs and a mixer cost Rs. 9800. The value of one TV is……
Answer- Rs. 4200
Q.12- What is the greatest possible length which can be used to measure exactly the lengths 8 m, 4 m 20 cm, and 12 m 20 cm?
Answer- 20 cm
Q.13- N is the greatest number which divides 1305, 4665, and 6905 and gives the same remainder in each case. What is the sum of the digits in N?
Answer- 4
Q.14- A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?
Answer- Cannot be determined
Q.15- x% of y is y% of?
Answer- X
Q.16- Two numbers are in the ratio 3 : 4 and the product of their LCM and HCF are 10800. The sum of the numbers is……
Answer- 210
Q.17- A man sells two horses at the same amount. On one he gains 5% and on the other, he loses 5%. His gain or loss percent in the whole transaction is….
Answer- 0.25% loss
Q.18- The ages of x and y are in the ratio of 3 : 1. 15 years hence, the ratio will be 2 : 1. Their present ages (in years) are…..
Answer- 45, 15
Q.19- A student has to secure 40% marks to pass. He gets 178 marks and fails by 22 marks. The maximum marks are….
Answer- 500
Q.20- In how many years, Rs 150 will produce the same interest@8 % as Rs. 800 produce in 3 years @ 4%?
Answer- 9
Q.21- Three numbers that are co-prime to each other are such that the product of the first two is 119 and that of the last two is 391. What is the sum of the three numbers?
Answer- 47
Q.22- The product of two numbers is 2028 and their HCF is 13. What is the number of such pairs?
Answer- 2
Q.23- What will be the ratio of simple interest earned by a certain amount at the same rate of interest for 6 years and that for 9 years?
Answer- 2 : 3
Q.24- In an examination 1100 boys and 900 girls appeared. 50% of the boys and 40% of the girls passed the exam. The percentage of candidates failed is….
Answer- 54.5
Q.25- There would be a 10% loss if a toy is sold at Rs. 10.80 per piece. At what price should it be sold to earn a profit of 20%?
Answer- Rs. 14.40
Q.26- The marks scored in an examination are converted from 50 to 10 for the purpose of internal assessment. The highest marks were 47 and the lowest was 14. The difference between the maximum and the minimum internal assessment scores is:
Answer- 6.6
Q.27- An electric pump can fill a tank in 3 hours. Because of a leak in the tank, it took 3 ½ hours to fill the tank. The leak can drain out all the water of the tank in……
Answer- 24 hrs.
Q.28- Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get 15 times as heavy as water.
Answer- 3 : 2
Q.29- One-third of Rahul’s savings in the National saving certificate is equal to one-half of his saving in public provident funds. If he has Rs. 1,50,000 as total saving, how much has he saved in the public provident fund?
Answer- Rs. 60,000
Q.30- Nitin borrowed some money at the rate of 6% p.a for the first three years, 9 % p.a for the next five years and 13 % p.a for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 8160, how much money did he borrow?
Answer- Rs. 8000
Q.31- An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:
Answer- 10.25 %
Q.32- 85 liters of a mixture contains milk and water in the ratio 27 : 7. How much water is to be added to get a new mixture containing milk and water in the ratio 3 :1?
Answer- 5 lt
Q.33- Taps A and B can fill a bucket in 12 minutes and 15 minutes respectively. If both are opened and A is closed after 3 minutes, how much further time would it take for B to fill the bucket?
Answer- 8 min 15 sec.
Q.34- A reduction of 25% in the price of eggs will enable one to buy 4 dozen more eggs for Rs. 96. What is the price per dozen?
Answer- Rs. 8
Q.35- A mixture contains milk and water in the ratio 5 : 1. On adding 5 liters of water, the ratio of milk to water becomes 5 : 2. The quantity of milk in the original mixture is….
Answer- 25 lt.
Q.36- An article when sold at a gain of 5% yields Rs. 15 more than when sold at a loss of 5%. What is C.P.?
Answer- Rs. 150
Q.37- A sum of money at simple interest amounts to Rs 815 in 3 years and to Rs 854 in 4 years. The sum is:
Answer- Rs 698
Q.38- The C.P. of an article is 40% of the S.P. The percent that the S.P. is of C.P. is….
Answer- 250%
Q.39- 300 gm of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution?
Answer- 60 gm
Q.40- In an election between two candidates, a candidate who gets 40% of total votes is defeated by 15000 votes. The number of votes polled by the winning candidate is….
Answer- 45000
Q.41- An alloy contains tin and copper in the ratio 4: 5. If tin has 20% impurity and copper 58%, what is the average % impurity?
Answer- 41.1%
Q.42- The LCM and HCF of two numbers x and y are l and h respectively. Then….
Answer- x : h = l : y
Q.43- A contractor undertook to complete a piece of work in 120 days and employed 140 men upon it. At the end of 66 days, only half of the work was done, so he put on 25 extra men. By how much time did he exceed the specified time?
Answer- 2
Q.44- An article is sold at a certain price. By selling it at 2/3 of that price one loses 10%. The gain percent at the original price is….
Answer- 35%
Q.45- I buy apples at 6 for Rs. 5 and sell half of it at 3 for Rs. 4 and the rest at 4 for Rs. 3. What is my profit/loss%?
Answer- Profit 25%
Q.46- A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:
Answer- 12 %
Q.47- If a + b : b + c : c + a = 6 : 7 : 8 and a +b +c = 14, then the value of c is…..
Answer- 6
Q.48- A person sold his watch for Rs. 75 and got a percent profit equal to the C.P. Find the C.P.
Answer- Rs. 50
Q.49- A seller marks his goods at 25% above their CP and allows a discount of 10%. His profit percent is….
Answer- 12.5%
Q.50- At an exam in which full marks were 500, A got 10% of less than B, B got 25% more than C, C got 20% less than D. If A got 360, what % did D get?
Answer- 80%
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