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Convergys Quantitative Ability Test 2014
Posted on :08-03-2016
Q1. A train running at 54 kmph takes 20 sec to pass a platform. Next it takes 12 sec to pass a man walking at 6 kmph in the same direction in which the train is going. Find the length of platform?
A. 160 mB. 140 mC. 112 mD. none of these
Explanation:Relative speed with respect to man = 54 - 6 = 48 kmph The length of the train is 48 * 5/18 * 12 =160 m Time taken to pass platform = 20 sec Speed of thetrain = 54 * 5/18 =15 m/s 160+x = 20 *15 x = 140 m Length of the platform is 140 m
Q2. A man invested 3/3 of his capital at 7% , 1/4 at 8% and the remainder at 10% If his annual income is Rs.561. The capital is:
A. 5200B. 6600C. 4800D. none of these
Explanation:Let the capital be Rs. x. Then, (x/3 + 7/100 + 1) + (x/4 + 8/100 + 1) + (5x/12 + 10/100 +1) = 561 7x/300 + x/50 + x/24 = 561 51x = 561 * 600 x = 6600.
Q3. At a special sale, 5 tickets can be purchased for the price of 3 tickets. If 5 tickets are purchased at the sale, the amount saved will be What percent of the original price of the 5 tickets?
A. 20%B. 33.3%C. 40%D. 60%
Explanation:Let the cost of single ticket be $x. The cost of 3 tickets is $3x. The cost of 5 tickets is $5x. The amount saved, when 5 tickets are purchased at sale = 5x - 3x = $2x The percent of the amount saved to the original price of the 5 tickets = (2x/5x)*100 = 40%
Q4. A cylindrical container has a radius of eight inches with a height of three inches. Compute how many inches should be added to either the radius or height to give the same increase in volume.
A. 16/5 inchesB. 16/3 inchesC. 16/7 inchesD. none of these
Explanation:Let x be the amount of increase. The volume will increase by the same amount if the radius increased or the height is increased.So, the effect on increasing height is equal to the effect on increasing the radius. i.e., (22/7)*8*8*(3+x) = (22/7)*(8+x)*(8+x)*3 Solving thequadratic equation we get the x = 0 or 16/3. The possible increase would be by 16/3 inches.
Q5. If taxi fares were Rs 1.00 for the first 1/5 mile and Rs 0.20 for each 1/5 miles thereafter. The taxi fare for a 3-mile ride was
A. Rs 1.56B. Rs 2.40C. RS 3.00D. Rs 3.80
Q6. A man bought his office furniture. He bought 28 chairs, 12 tables and 4 computer stands for Rs. 24320. If the average price of a chair is Rs. 450 and the average price of a computer stand is Rs. 1250, then find the average price of the table?
A. Rs. 580B. Rs. 540C. Rs. 640D. Rs. 560
Q7. A plane travelled K miles in the first 96 miles of flight time. If it completed the remaining 300 miles of the trip in 1 minute, what was its average speed in miles per hour for the entire trip?
A. (300-k)/67 * 90B. (300+k)*65 / 93C. (300+k)/97 * 60D. None of above
Q8. If A is the brother of B; B is the sister of C; and C is the father of D, how D is related to A?
A. BrotherB. SisterC. NephewD. Cannot be determined
Explanation:If D is Male, the answer is Nephew. If D is Female, the answer is Niece. As the sex of D is not known, hence, the relation between D and A cannot be determined. Note: Niece - A daughter of ones brother or sister, or of ones brother-in-law or sister-in-law. Nephew - A son of ones brother or sister, or of ones brother-in-law or sister-in-law.
Q9. What is the length of a running train?
I. The train crosses a man in 9 seconds.
II. The train crosses a 240 metre long platform in 24 seconds.
A. I alone is sufficient while II alone not sufficient to answer.B. II alone is sufficient while I not alone sufficient to answer.C. Either I or II alone sufficient to answer.D. Both I and II are necessary to answer.
Explanation:Time taken by train to cross a man = Length of train/Speed of train = Speed = l/9 ...(i) Time taken by train to cross a platform = (Length of train + Length of platform)/Speed of train = Speed = (l+240)/24...(ii) From (i) and (ii), we get l/9 = (l+240)/24 Thus, l can be obtained. So both I and II are necessary to get the answer.
Q10. The number of diagonals that can be drawn by joining the vertices of an octagon is
A. 28B. 48C. 20D. None of these
Explanation:Octagon consists of 8 sides Hence the number of diagonals that can be drawn by joining the vertices of an octagon = 8 C 2 - 8 = 20
Q11. Find the odd number in the series:
A. 57B. 228C. 18D. 6996
Explanation:Let the numbers be A, B, C, D, E, F, G then A, A * 1 + 1, B * 2 + 2, C * 3 + 3, ........ so 288 is the odd one in the given series.
Q12. What is the cost of laying carpet in a rectangular hall?
1. Cost of the carpet is Rs 450 per square meter.
2. Perimeter of the hall is 50 meters.
A. If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.B. If the data in statement II alone are sufficient to answer the question, while that data in statement I alone are not sufficient to answer the question.C. If the data either in statement I alone or in statement II alone are sufficient to answer the question.D. If the data even in both statements I and II together are not sufficient to answer the question.
Explanation:Since area of the floor of rectangular hall cannot be determined by the data in both statements. Hence the data even in both statements I and II are not sufficient to answer the question.
Q13. A 5 litre jug contains 4 litres of a salt water solution that is 15 percent salt. If 1.5 litres of the solution spills out of the jug, and the jug is then filled to capacity with water, approximately what percent of the resulting solution in the jug is salt?
A. 9.5%B. 7.5%C. 10.5%D. 12%
Q14. A digital wristwatch was set accurately at 8.30 a.m and then lost 2 seconds every 5 minutes. What time was indicated on the watch at 6.30 p.m of the same day if the watch operated continuously that time?
A. 5:56B. 5:58C. 6.00D. 6.26
Q15. Working independently, Tina can do a certain job in 12 hours. Working independently, Ann can do the same job in 9 hours. If Tina Works independently at the job for 8 hours and then Ann works independently, how many hours will it take Ann to complete the remainder of the jobs?
A. 2/3B. 3/4C. 2D. 3
Q16. If Rs.10 be allowed as true discount on a bill of Rs.110 at the end of a certain time, then discount allowed on the same sum due at the end of double the time?
A. 18.33B. 17.5C. 15.9D. none of these
Explanation:Amount = Rs.110, True Discount = Rs.10, Present worth = Amount-True Discount =Rs.110-10 =Rs.100 SI on Rs.100 for a certain time =Rs.10SI on Rs.100 for double the time =Rs.20 True Discount on (100+20)=120-100 =Rs.20 True Discount on Rs.110 =(110*20)/120 =Rs.18.33
Q17. The ratio of the age of a man & his wife is 4:3.After 4 years this ratio will be 9:7. If the time of marriage the ratio was 5:3, then how many years ago were they married?
A. 32B. 24C. 12D. none of these
Explanation:The age of a man is 4x. The age of his wife is 3x. After 4 years their ratios will be 9:7 i,e, 4x + 4/3x+4 = 9/7 28x - 27x = 36 - 28 x = 8. Age of a manis 4x = 4*8 = 32 years. Age of his wife is 3x = 3*8 = 24 yeras. Let us assume y years ago they were married, the ratio was 5:3 i.e. 32 - y/24 - y = 5/3 y = 12 years.i.e. 12 years ago they were married.
Q18. Bucket P has thrice the capacity as Bucket Q. It takes 60 turns for Bucket P to fill the empty drum. How many turns it will take for both the buckets P&Q, having each turn together to fill the empty drum?
A. 52B. 45C. 63D. none of these
Explanation:Let the capacity of P be x litre. Then capacity of Q = x/3 litre. Capacity of the drum = 60x litre. Required number of turns = 60x/ (x+(x/3)) = 60x * 3/4x = 45
Q19. A man spends 2/5 of his salary on house rent, 3/10 of his salary on food, and 1/8 of his salary on conveyance. if he has Rs 1400 left with him, find his expenditure on conveyance?
A. 2400B. 1000C. 1800D. none of these
Explanation:Part of the salary left = 1 - [2/5 + 3/10 + 1/9] = 1 - 33/40 = 7/40 Let the monthly salary be Rs x. Then, 7/40 of x = 1400 x = [1400 * 40] / 7 x = 8000Expenditure on food = 3/10 * 8000 = Rs 2400 Expenditure on conveyance = 1/8 *8000 = Rs 1000
Q20. A, B, C enter into partnership invests 3 times as much as B invests and B invests two third of what C invests. At the end of the year, the profit earned is Rs 6600. What is the share of B?
A. 1200B. 3600C. 7200D. none of these
Explanation:Let Cs capital = Rs.x Bs capital = Rs (2/3) * x As capital = 3 * (2/3) * x = Rs 2x ratio of their capitals = 2x : (2/3) * x:x = 6x : 2x;3x Bs share = Rs 6600(2/11) = Rs 1200.
Q21. How many 4-letter words with or without meaning, can be formed out of the letters of the word, LOGARITHMS, if repetition of letters is not allowed?
A. 40B. 400C. 5040D. 2520
Explanation:LOGARITHMS contains 10 different letters. Required number of words = Number of arrangements of 10 letters, taking 4 at a time. = 10P4 = (10 x 9 x 8 x 7) 5040.
Q22. A can do a piece of work n 7 days of 9 hours each and B alone can do it in 6 days of 7 hours each. How long will they take to do it working together 8 2/5 hours a day?
A. 7B. 3C. 5D. none of these
Explanation:A can complete the work in (7 x 9) = 63 hours. B can complete the work in (6 x 7) = 42 hours. As 1 hours work = (1/63) and Bs 1 hours work = (1/42)(A + B)s 1 hours work = (1/63) + (1/42) = (5/126) Both will finish the work in (126/5)hrs. Number of days of (42/5)hrs each = (126 x 5) / (5 x 42) = 3 days.
Q23. A man can row 7 1/2kmph in still water. If in a river running at 1.5 km an hour, if takes him 50 min to row to place and back. How far off is the place?
A. 3 kmB. 6 kmC. 9 kmD. None of these
Explanation:Speed downstream =(7.5+1.5) km/hr=9 km/hr; Speed upstream=(7.5-1.5) kmph=6 kmph. Let the required distance be x km.then, x/9+x/6=50/60.2x+3x=(5/6*18) 5x=15 x=3. Hence,the required distance is 3 km.
Q24. A man buys a watch for Rs.1950 in cash and sells it for Rs. 2200 at a credit of 1 year. If the rate of interest is 10% per annum, the man:
A. gains Rs.55B. gains Rs.50C. losses Rs.30D. gains Rs.30
Explanation:S.P. = P.W. of Rs.2200 due 1 year hence = Rs. [2200 x 100/100 + (10 x 1)] = Rs.2000. Gain = Rs.(2000 - 1950) = Rs.50.
Q25. Given that A,B,C,D,E each represent one of the digits between 1 and 9 and that the following multiplication holds:
A B C D E X 4
E D C B A
what digit does E represent?
A. 4B. 8C. 6D. 7
Q26. From the following statements determining the order of ranking:-
M has double the amount as D.
Y has 3 rupees more than half the amount of D.
A. 12B. 15C. Data in sufficientD. None of above
Q27. An investor purchased a share of stock at a certain price. If the stock increased in price Rs 0.25 per share and the total increase for the x shares was Rs 12.50, how many shares of stock had been purchased?
A. 25B. 50C. 75D. 100
Explanation:Given in, Stock increased per share = 0.25 Total increased X(0.25) = 12.50 So, X = 12.5/0.25 = 50
Q28. 72519 x 9999 =?
A. 725117481B. 674217481C. 685126481D. 696217481
Explanation:72519 x 9999 = 72519 x (10000 - 1) = 72519 x 10000 - 72519 x 1 = 725190000 - 72519 = 725117481.
Q29. Which of the following numbers will completely divide (325 + 326 + 327 + 328)?
A. 11B. 16C. 25D. 30
Explanation:(325 + 326 + 327 + 328) = 325 x (1 + 3 + 32 + 33) = 325 x 40 = 324 x 3 x 4 x 10 = (324 x 4 x 30), which divisible by 30.
Q30. One year ago the ratio of Ramu & Somu age was 6:7 respectively. Four years hence their ratio would become 7:8. How old is Somu?
A. 30B. 33C. 36D. none of these
Explanation:Let us assume Ramu & Somu ages are x &y respectively. One year ago their ratio was 6:7 i.e x-1 / y-1 = 7x-6y=1 Four years hence their ratios,would become 7:8 i.e x-4 / y-4 = 7 / 8 8x-7y=-4 From the above two equations we get y= 36 years. i.e Somu present age is 36 years.
Q31. A site received 419 visits on 3 of its links, there were 145 hits on Contact us, 11 visitors all the 3 links, while FAQ and Home links had the same no of hits, 2 visitors hit Contact and Home; 11 visitors hit FAQ and Home and another 11 FAQ and contact. Then
A) How many visited the FAQ link?
B) How many visited the FAQ link only?
C) How many visited the Contact us only?
Q32. If 1st October is a Sunday then what is the day on 1st of November?
Q33. A man pointing at a girl says, The girl in the picture is my grandfathers only sons daughter. How is the man related to the girl?
Q34. A painter is asked to cut a wooden cube which is painted in black in three parts. Then again he cut the top layer in 4 parts, middle layer in 9 and bottom layer in 16 cubes
A) How many cubes are painted on 3 sides?
B) How many cubes were painted only on 2 sides?
C) How many cubes were not painted at all?
Q35. If a person tosses 2 coins, one coin has both sides as head and the other is a normal coin then what is the probability of getting a head?