Placement Papers - Vembu Technologies
Vembu Technologies Interview Experience - Hyderabad
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1. The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago?
A. 71.
B. 76.
C. 77.
D. 72.
2. A can walk and reach B in 45 minutes. B can reach A in 27 minutes. If A and B start walking towards each other, how long will it take for them to meet?
A. 36 minutes.
B. 32 minutes.
C. 17 minutes.
D. 13 minutes.
3. A sum fetched a total simple interest of Rs.4016.25 at the rate of 9 P.C. P.A. In 5 years. What is the sum?
A. Rs.8925.
B. Rs.8900.
C. Rs.8032.50.
D. Rs.4462.50.
4. 45 persons can repair a road in 12 days, working 4 hours a day. In how many days will 30 people, working 6 hours a day, complete the work?
A. 21.
B. 12.
C. 13.
D. 18.
5. There are a few cubes in a box. 70% of these cubes are painted red at one side, 75% of them are painted yellow at one side, 80% of them are painted. Brown at one side and 85% of them are painted with black at one side. What percentages (at a minimum) of these cubes are painted with all these four Colors?
A. 77.5%.
B. 25%.
C. 10%.
D. 22.5%.
6. The product of two numbers is 9375. The quotient, when the larger one is divided by the smaller one, is 15. The sum of the numbers is
A. 395.
B. 425.
C. 380.
D. 400.
7. Which of the following statements drawn from the given statements are correct? Given: All watches sold in that shop are of high standard. Some of the TITAN watches are sold in that shop.
I) All watches of high standard were manufactured by TITAN.
II) Some of the TITAN watches are of high Standard.
III) None of the TITAN watches is of high standard.
IV) Some of the TITAN watches of high standard are sold in that shop.
A. I and II.
B. IV and I.
C. II and IV.
D. III and IV.
8. A cube of 3x3x3 is painted from all the 6 faces. If I cut the cube in 27 equal cubes of 1x1x1 then how many cubes will be painted on exactly 2 faces?
A. 8.
B. 12.
C. 16.
D. 17.
9. In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is Equal to 144, then the number is,
A. 46.
B. 44.
C. 24.
D. 26.
10. A newspaper is supposed to have 60 pages but pages 24 and 41 are missing. Which are the pages missing in the newspaper except 24 and 41?
A. 24, 25, 41, 42.
B. 20, 21, 24, 38, 37, 41.
C. 19, 20, 23, 37, 38, 42.
D. 23, 24, 40, 41.
11. Seats for Mathematics, Physics and Biology in a school are in the ratio 5: 7: 8. There is a proposal to increase these seats by 40%, 50% and 75%. Respectively. What will be the ratio of increased seats?
A. 3: 3: 2.
B. 2: 3: 3.
C. 3: 4: 4.
D. 2: 3: 4.
12. A trader mixes 20 kg of rice at Rs.36 per kg with 36 kg of rice of other variety at Rs.20 per kg and sells the mixture at Rs.26 per kg. His profit per cent is,
A. 5%.
B. 1%.
C. 10%.
D. Profit, no loss.
13. The salaries A, B, C are in the ratio 4: 8: 5. If the increments of 25%, 15% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?
A. 25: 26: 30.
B. 23: 24: 25.
C. 5: 3: 4.
D. 23: 33: 60.
14. In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
A. 7/19.
B. 8/21.
C. 3/4.
D. 1/3.
15. A coin is tossed 5 times. What is the probability that at least once head appeared?
A. (1/2) ^5 ^means 'to the power of'.
B. 4/5.
C. 31/32.
D. 1/32.
16. Two persons are walking in the same direction at 2 kmph and 4 kmph. A train going in the same direction passes them completely in 9 and 10. Seconds respectively. The length of the train is.
A. 55m.
B. 50m.
C. 60m.
D. 65m.
17. A container contains 50 litres of milk. From this container, 5 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained in the container?
A. 29.2 L.
B. 28.2 L.
C. 36.4 L.
D. 26 L.
18. An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 1 o'clock in the Afternoon?
A. 150 Degrees.
B. 170 Degrees.
C. 180 Degrees.
D. 160 Degrees.
19. Pick the odd man out - DCKL, MNST, NMYZ, QPST.
A. DCKL.
B. MNST.
C. NMYZ.
D. QPST.
20. Find the next number in the series 14, 49, 916, 1625, .
A. 2027.
B. 2438.
C. 2578.
D. 2536.
21. The average weight of 9 persons decreased by 3 Kg when a new person came in place of one of them weighing 80 Kg. What might be the weight of the new person?
A. 76.5 Kg.
B. 85 Kg.
C. 66 Kg.
D. 53 Kg.
22. Excluding stoppages, the speed of a bus is 30 kmph and including stoppages, it is 22 kmph. For how many minutes does the bus stop per hour?
A. 20.
B. 16.
C. 9.
D. 15.
23. If 5+3+2=131012, 9+2+4=173662, 8+6+3=232466, 5+4+5=182504 then what will be the answer of 7+2+5=
A. 183548.
B. 163548.
C. 183542.
D. 163542.
24. All dogs are bulls. Are bulls are horses.
A. Some dogs are not horses.
B. Some horses are dogs.
C. All horses are dogs.
D. All dogs are horses but some may not be bulls.
25. Look at this series: 35, 34, 36, 35, 37, 36, . What number should come next?
A. 37.
B. 39.
C. 38.
D. 36.
26. A, B and C are employed to do a piece of work for Rs.529. A and B together are supposed to do 19/23 of the work and B and C together 8/23 of the work. What amount should A be paid?
A. Rs.380.
B. Rs.325.
C. Rs.355.
D. Rs.345.
27. A and B take part in the 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is,
A. 4.24 kmph.
B. 4.14 kmph.
C. 4.25 kmph.
D. 4.4 kmph.
28. 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be,
A. 84.
B. 90.
C. 168.
D. 336.
29. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
A. 210.
B. 1050.
C. 25200.
D. 21400.
30. A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water from the tank in,
A. 4 and 1/3 Hours.
B. 7 Hours.
C. 8 Hours.
D. 14 hours.
31. The first six Prime Ministers of the country had an average tenure of 6 years. What is the tenure of the 7th Prime Minister if the average tenure of first nine Prime Ministers is 5.25 years and the duration of the tenure of the 7th, 8th, and 9th Prime Ministers are in the ratio 1:2:3?
A. 1 year 3 months 18 days.
B. 1 year 10 months 15 days.
C. 2 years.
D. 1 year 6 months.
32. The figure below shows 2 concentric circles with centre O. PQRS is a square inscribed in the outer circle. It also circumscribes the inner circle Touching it at points B, C, D and A. What is the ratio of the circumference of the outer circle to the perimeter of the polygon ABCD?
A. PI/4.
B. PI*3/4.
C. PI.
D. PI*1/2.
33. If |r-6| = 11 and |2q-12| = 8, then what could be the minimum possible value of the ratio of q to r?
A. -2/5.
B. 2/17.
C. 3/14.
D. 11/12.
34. If 2 **n (2 to the power of n) can exactly divide p! then the value of n is not possible,
A. 43.
B. 44.
C. 45.
D. None of these.
35. How many five digit positive integers that are divisible by 3 can be formed using the digits 0, 1, 2, 3, 4 and 5, without any of the digits getting Repeated?
A. 15.
B. 96.
C. 216.
D. 120.
36. In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys?
A. 20.
B. 30.
C. 25.
D. 480.
37. There are 2 brothers among a group of 20 persons. In how many ways can the group be arranged around a circle so that there is exactly one person between the two brothers?
A. 2 * 17!
B. 18! * 18.
C. 19! * 18.
D. 2 * 18!
38. In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people?
A. (15C8) *6!*7!
B. 15!/ (8!).
C. 7!*8!
D. 15C8 * 8!
39. There are 6 boxes numbered 1, 2, 3, 4, 5, 6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is.
A. 5.
B. 21.
C. 33.
D. 60.
40. In a triangle ABC, the lengths of the sides AB and AC equal 17. 5 cm and 9 cm respectively. Let D be a point on the line segment BC such that AD is perpendicular to BC. If AD = 3 cm, then what is the radius (in cm) of the circle circumscribing the triangle ABC?
A. 17.05.
B. 27.85.
C. 22.45.
D. 26.25.
41. From the following choices what is the equation of a line whose x-intercept is half as that of the line 3x + 4y = 12 and why intercept is twice as that of the same line?
A. 3x + 8y = 24.
B. 8x + 3y = 24.
C. 16x + 3y = 24.
D. 3x + why = 6.
42. A gentleman buys every year Bank's cash certificates of value exceeding last year's purchase by Rs. 300. After 20 years, he finds that the total value of the certificates purchased by him is Rs. 83, 000. Find the value of the certificates purchased by him in the 13th year.
A. 4900.
B. 6900.
C. 1300.
D. 2700.
43. The sum of 20 terms of the series -12 + 22 - 32 + 42 - 52 + 62. Is,
A. 210.
B. 519.
C. 190.
D. 420.
44. What is the minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 74 cm?
A. 176.
B. 187.
C. 194.
D. 206.
45. A person starts multiplying consecutive positive integers from 20. How many numbers should he multiply before they will have the result that will end with 3 zeroes?
A. 11.
B. 10.
C. 6.
D. 5.
A. 71.
B. 76.
C. 77.
D. 72.
2. A can walk and reach B in 45 minutes. B can reach A in 27 minutes. If A and B start walking towards each other, how long will it take for them to meet?
A. 36 minutes.
B. 32 minutes.
C. 17 minutes.
D. 13 minutes.
3. A sum fetched a total simple interest of Rs.4016.25 at the rate of 9 P.C. P.A. In 5 years. What is the sum?
A. Rs.8925.
B. Rs.8900.
C. Rs.8032.50.
D. Rs.4462.50.
4. 45 persons can repair a road in 12 days, working 4 hours a day. In how many days will 30 people, working 6 hours a day, complete the work?
A. 21.
B. 12.
C. 13.
D. 18.
5. There are a few cubes in a box. 70% of these cubes are painted red at one side, 75% of them are painted yellow at one side, 80% of them are painted. Brown at one side and 85% of them are painted with black at one side. What percentages (at a minimum) of these cubes are painted with all these four Colors?
A. 77.5%.
B. 25%.
C. 10%.
D. 22.5%.
6. The product of two numbers is 9375. The quotient, when the larger one is divided by the smaller one, is 15. The sum of the numbers is
A. 395.
B. 425.
C. 380.
D. 400.
7. Which of the following statements drawn from the given statements are correct? Given: All watches sold in that shop are of high standard. Some of the TITAN watches are sold in that shop.
I) All watches of high standard were manufactured by TITAN.
II) Some of the TITAN watches are of high Standard.
III) None of the TITAN watches is of high standard.
IV) Some of the TITAN watches of high standard are sold in that shop.
A. I and II.
B. IV and I.
C. II and IV.
D. III and IV.
8. A cube of 3x3x3 is painted from all the 6 faces. If I cut the cube in 27 equal cubes of 1x1x1 then how many cubes will be painted on exactly 2 faces?
A. 8.
B. 12.
C. 16.
D. 17.
9. In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is Equal to 144, then the number is,
A. 46.
B. 44.
C. 24.
D. 26.
10. A newspaper is supposed to have 60 pages but pages 24 and 41 are missing. Which are the pages missing in the newspaper except 24 and 41?
A. 24, 25, 41, 42.
B. 20, 21, 24, 38, 37, 41.
C. 19, 20, 23, 37, 38, 42.
D. 23, 24, 40, 41.
11. Seats for Mathematics, Physics and Biology in a school are in the ratio 5: 7: 8. There is a proposal to increase these seats by 40%, 50% and 75%. Respectively. What will be the ratio of increased seats?
A. 3: 3: 2.
B. 2: 3: 3.
C. 3: 4: 4.
D. 2: 3: 4.
12. A trader mixes 20 kg of rice at Rs.36 per kg with 36 kg of rice of other variety at Rs.20 per kg and sells the mixture at Rs.26 per kg. His profit per cent is,
A. 5%.
B. 1%.
C. 10%.
D. Profit, no loss.
13. The salaries A, B, C are in the ratio 4: 8: 5. If the increments of 25%, 15% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?
A. 25: 26: 30.
B. 23: 24: 25.
C. 5: 3: 4.
D. 23: 33: 60.
14. In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
A. 7/19.
B. 8/21.
C. 3/4.
D. 1/3.
15. A coin is tossed 5 times. What is the probability that at least once head appeared?
A. (1/2) ^5 ^means 'to the power of'.
B. 4/5.
C. 31/32.
D. 1/32.
16. Two persons are walking in the same direction at 2 kmph and 4 kmph. A train going in the same direction passes them completely in 9 and 10. Seconds respectively. The length of the train is.
A. 55m.
B. 50m.
C. 60m.
D. 65m.
17. A container contains 50 litres of milk. From this container, 5 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained in the container?
A. 29.2 L.
B. 28.2 L.
C. 36.4 L.
D. 26 L.
18. An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 1 o'clock in the Afternoon?
A. 150 Degrees.
B. 170 Degrees.
C. 180 Degrees.
D. 160 Degrees.
19. Pick the odd man out - DCKL, MNST, NMYZ, QPST.
A. DCKL.
B. MNST.
C. NMYZ.
D. QPST.
20. Find the next number in the series 14, 49, 916, 1625, .
A. 2027.
B. 2438.
C. 2578.
D. 2536.
21. The average weight of 9 persons decreased by 3 Kg when a new person came in place of one of them weighing 80 Kg. What might be the weight of the new person?
A. 76.5 Kg.
B. 85 Kg.
C. 66 Kg.
D. 53 Kg.
22. Excluding stoppages, the speed of a bus is 30 kmph and including stoppages, it is 22 kmph. For how many minutes does the bus stop per hour?
A. 20.
B. 16.
C. 9.
D. 15.
23. If 5+3+2=131012, 9+2+4=173662, 8+6+3=232466, 5+4+5=182504 then what will be the answer of 7+2+5=
A. 183548.
B. 163548.
C. 183542.
D. 163542.
24. All dogs are bulls. Are bulls are horses.
A. Some dogs are not horses.
B. Some horses are dogs.
C. All horses are dogs.
D. All dogs are horses but some may not be bulls.
25. Look at this series: 35, 34, 36, 35, 37, 36, . What number should come next?
A. 37.
B. 39.
C. 38.
D. 36.
26. A, B and C are employed to do a piece of work for Rs.529. A and B together are supposed to do 19/23 of the work and B and C together 8/23 of the work. What amount should A be paid?
A. Rs.380.
B. Rs.325.
C. Rs.355.
D. Rs.345.
27. A and B take part in the 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is,
A. 4.24 kmph.
B. 4.14 kmph.
C. 4.25 kmph.
D. 4.4 kmph.
28. 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be,
A. 84.
B. 90.
C. 168.
D. 336.
29. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
A. 210.
B. 1050.
C. 25200.
D. 21400.
30. A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water from the tank in,
A. 4 and 1/3 Hours.
B. 7 Hours.
C. 8 Hours.
D. 14 hours.
31. The first six Prime Ministers of the country had an average tenure of 6 years. What is the tenure of the 7th Prime Minister if the average tenure of first nine Prime Ministers is 5.25 years and the duration of the tenure of the 7th, 8th, and 9th Prime Ministers are in the ratio 1:2:3?
A. 1 year 3 months 18 days.
B. 1 year 10 months 15 days.
C. 2 years.
D. 1 year 6 months.
32. The figure below shows 2 concentric circles with centre O. PQRS is a square inscribed in the outer circle. It also circumscribes the inner circle Touching it at points B, C, D and A. What is the ratio of the circumference of the outer circle to the perimeter of the polygon ABCD?
A. PI/4.
B. PI*3/4.
C. PI.
D. PI*1/2.
33. If |r-6| = 11 and |2q-12| = 8, then what could be the minimum possible value of the ratio of q to r?
A. -2/5.
B. 2/17.
C. 3/14.
D. 11/12.
34. If 2 **n (2 to the power of n) can exactly divide p! then the value of n is not possible,
A. 43.
B. 44.
C. 45.
D. None of these.
35. How many five digit positive integers that are divisible by 3 can be formed using the digits 0, 1, 2, 3, 4 and 5, without any of the digits getting Repeated?
A. 15.
B. 96.
C. 216.
D. 120.
36. In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys?
A. 20.
B. 30.
C. 25.
D. 480.
37. There are 2 brothers among a group of 20 persons. In how many ways can the group be arranged around a circle so that there is exactly one person between the two brothers?
A. 2 * 17!
B. 18! * 18.
C. 19! * 18.
D. 2 * 18!
38. In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people?
A. (15C8) *6!*7!
B. 15!/ (8!).
C. 7!*8!
D. 15C8 * 8!
39. There are 6 boxes numbered 1, 2, 3, 4, 5, 6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is.
A. 5.
B. 21.
C. 33.
D. 60.
40. In a triangle ABC, the lengths of the sides AB and AC equal 17. 5 cm and 9 cm respectively. Let D be a point on the line segment BC such that AD is perpendicular to BC. If AD = 3 cm, then what is the radius (in cm) of the circle circumscribing the triangle ABC?
A. 17.05.
B. 27.85.
C. 22.45.
D. 26.25.
41. From the following choices what is the equation of a line whose x-intercept is half as that of the line 3x + 4y = 12 and why intercept is twice as that of the same line?
A. 3x + 8y = 24.
B. 8x + 3y = 24.
C. 16x + 3y = 24.
D. 3x + why = 6.
42. A gentleman buys every year Bank's cash certificates of value exceeding last year's purchase by Rs. 300. After 20 years, he finds that the total value of the certificates purchased by him is Rs. 83, 000. Find the value of the certificates purchased by him in the 13th year.
A. 4900.
B. 6900.
C. 1300.
D. 2700.
43. The sum of 20 terms of the series -12 + 22 - 32 + 42 - 52 + 62. Is,
A. 210.
B. 519.
C. 190.
D. 420.
44. What is the minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 74 cm?
A. 176.
B. 187.
C. 194.
D. 206.
45. A person starts multiplying consecutive positive integers from 20. How many numbers should he multiply before they will have the result that will end with 3 zeroes?
A. 11.
B. 10.
C. 6.
D. 5.
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