5. Find the next number in the sequence 123, 12412, , , (A) (B) (C) (D)

Size: px

Start display at page:

Download "5. Find the next number in the sequence 123, 12412, , , (A) (B) (C) (D)"

Derek McKenzie
5 years ago
Views:

1 3 P a g e SECTION A: Aptitude Test 1. A husband said to his wife, "I was as old as you are at the present at the time of your birth". If the husband's age is 98 years now, the wife's age six years back was: (A) 49 Years (C) 43 Years (B) 98 Years (D) 44 Years 2. A water tank is two-fifth full. Pipe A can fill a tank in 12 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely? (A) 2.8 (C) 4.8 (B) 4.2 (D) Raju watches the time in a clock hanging on the wall as 3:15 PM and reports that angle between minute hand and hour hand of the clock. What angle does he gets? (Don t confuse with time given in figure) (A) 0 (C) 7.5 (B) 15 (D) You have a 5 Litre bucket and a 3 Litre bucket. You go to a pond to collect some water. Now judge whether the given statements are right or wrong. Statement 1: You can collect exact 2 Litres of water if required Statement 2: You can collect exact 4 Litres of water if required Statement 3: You can collect exact 8 Litres of water if required Statement 4: You can collect exact 7 Litres of water if required (A) Statement 1,2 and 4 are wrong but statement 3 is right (B) Statements 2 and 4 are wrong but statement 1 and 3 are right (C) All Statements are right (D) All Statements are wrong 5. Find the next number in the sequence 123, 12412, , , (A) (B) (C) (D) A man has Rs. 312 in the denominations of one-rupee notes, five-rupee notes and twenty-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has? (A) 24 (C) 32 (B) 28 (D) Father is three times more than his son Sunil. After 8 years, he would be two and a half times of Sunil's age. After further 8 years, how many times would he be of Sunil's age? (A) 2 (C) 4 (B) 3 (D) 5

4 P a g e Read the following passage to answer the next 4 questions Four people, Aamir, Shahrukh, Salman and Akshay, each had some initial amount of money with them.

2 4 P a g e Read the following passage to answer the next 4 questions Four people, Aamir, Shahrukh, Salman and Akshay, each had some initial amount of money with them. They all were playing bridge in a way that the loser doubles the money of each of the other three people from his share. They played four rounds and each person lost one round in the order of mentioned names above at the end of fourth round, each person had Rs. 32, What was the amount with Aamir to start with? (A) 34,000 (C) 28,000 (B) 66,000 (D) 60, What was the amount with Salman at the end of the second round? (A) 16,000 (C) 72,000 (B) 36,000 (D) 18, Who had the lowest amount at any round of play throughout the tournament? (A) Akshay (C) Shahrukh (B) Aamir (D) Salman 11. What was the amount with Shahrukh at the end of first round? (A) 68,000 (C) 80,000 (B) 72,000 (D) 64, A tank is filled in 10 hours by three pipes A, B and C. Pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank? (A) 30 (C) 35 (B) 50 (D) 70 Read the following paragraph to answer next 2 questions A, B, C and D share a loot. A gets a% of the total. B gets b% of the remaining (after A has taken his share). C gets c% of the remaining and D gets the rest. D gets a% less than what A gets, B and C get equal amounts. b = 2a. 13. What percentage of what A got did C get? (A) 160% (C) 175% (B) 80% (D) 150% 14. If the total amount is equal to Rs. 1000, what is the difference between what A got and what D got? (A) 200 (C) 160 (B) 40 (D) none 15. What is the least perfect square which is divisible by each of 21, 36 and 66? (A) (C) (B) (D) Find the minimum number of straight lines required to make the given figure. (A) 13 (C) 17 (B) 15 (D) 19

3 5 P a g e 17. Of the 200 candidates who were interviewed for a position at a call centre, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and 10 had all three. How many candidates had none of the three? (A) 0 (C) 10 (B) 20 (D) There are six people A, B, C, D, E and F. C is the sister of F. B is the brother of E s husband. D is the father of A and grandfather of F. There are two fathers, three brothers and a mother in a group. which of the following is a group of brothers? (A) ABC (C) BFC (B) ABF (D) BDF 19. If the Republic Day of India in 1980 falls on Saturday, X was born on March 3, 1980 and Y is older to X by four days, then Y s birthday fell on? (A) Wednesday (C) Friday (B) Thursday (D) Saturday 20. If 6799 = and 1134 = 4789 then 7421=? (A) (C) 1384 (B) (D) Statements: Some books are pens Some pens are pencils Conclusions: 1. Some books are pencils 2. No book is pencil 3. All pencils are pens 4. All pens are books (A) Only 1 follows (B) Either 1 or 2 follow (C) Only 1 and either 2 or 4 follow (D) Only 4 follows 22. A Man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. What is the distance travelled on foot? (A) 12 (C) 16 (B) 14 (D) A frog is at the bottom of a 30 meter well. Each day he summons enough energy for one 3 meter leap up the well. Exhausted, he then hangs there for the rest of the day. At night, while he is asleep, he slips 2 meters backwards. How many days does it take him to escape from the well? (A) 27 (C) 29 (B) 28 (D) 30

4 6 P a g e 24. In a talent examination, a multiple choice question has 4 options. If Tommy chooses the correct option, he earns 3 marks and for choosing the wrong option he incurs negative marks. If Tommy chooses an option randomly, his expected score is 0. Suppose Tommy has successfully eliminated 2 incorrect options. What will be the expected score if he chooses randomly among the remaining options? (A) 2/3 (C) 1 (B) 3/2 (D) At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles (hour & minute) will coincide each other? (A) 15 min (C) min (B) 16 min (D) min 26. Find next number in the series 2, 3, 6, 0, 10, -3, 14, (...) (A) 2 (C) -6 (B) 6 (D) A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3:5? (A) 5 Litres, 7 Litres (C) 6 Litres, 6 Litres (B) 7 Litres, 4 Litres (D) 4 Litres, 8 Litres 28. A starts a business with a capital of Rs. 85,000. B joins in the business with Rs after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3:1? (A) 5 months (C) 7 months (B) 6 months (D) 8 months 29. In an election between two candidates, one got 55% of the total valid votes. 20% of the votes were invalid. If the total number of votes was 7500, what was the number of valid votes that the other candidate got? (A) 2800 (C) 2100 (B) 2700 (D) A sum of Rs was lent partly at 5% and partly at 8% p.a. simple interest. The total interest received after 3 years was Rs The ratio of the money lent at 5% to that lent at 8% is: (A) 16:15 (C) 15:8 (B) 15:16 (D) 8: A software engineer has the capability of thinking 100 lines of code in five minutes and can type 100 lines of code in 10 minutes. He takes a break for five minutes after every ten minutes. How many lines of codes will he complete typing after an hour? (A) 250 (C) 150 (B) 220 (D) 200

5 7 P a g e 32. Nikhil gets Rs.250 from his parents every week for his expenses. He puts Rs.5 in his piggy bank on every day except Sunday when he puts Rs.10 in the piggy bank. He eats subsidized lunch in the college canteen for Rs. 10 on all college days except Saturday when he treats himself to the special lunch for Rs.25. Bus fare to college is Rs.4 each way. He has got a holiday on Sunday. This week, Nikhil wants to buy a book which costs Rs.100. For this, he was walking to and from the college. He is left with Rs.3 after buying the book. Assuming no other expenses, how many times did Nikhil walk this week? (A) 2 (C) 4 (B) 3 (D) In a party 20 people shake hands with each other, except for 4 who don't have friendly relationships and don't shake hands with each other, how many total handshakes occurred? (A) 64 (C) 24 (B) 40 (D) Rakesh have 25 horses, and he wants to pick the fastest 3 horses out of those 25. He has only 5 tracks, that means only 5 horses can run at a time. He does not have a stopwatch. What is the minimum number of races required to find the 3 fastest horses? (A) 5 (C) 7 (B) 6 (D) It is dark in my bedroom and I want to get two socks of the same colour from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same colour? (A) 2 (C) 24 (B) 3 (D) A certain street contains 100 buildings. They are numbered from 1 to 100. How many times does the digit 9 occur in these numbers? (A) 10 (C) 19 (B) 11 (D) Four men (Dabangg, Singham, Ghajini and Don) are taken to the police headquarters following a bank robbery. It is certain that one of the them is guilty, but police don t know for sure who did it. Here s what the four men said: Dabangg: Singham did it. ; Singham: Don did it. Ghajini: I didn t do it. ; Don: Singham lied when he said I did it. If only one of the four statements is true remaining three are false, who is the guilty man? (A) Dabangg (C) Ghajini (B) Singham (D) Don 38. A, B, C, D, E and F are members of a club. There are two married couples in the group. A is the brother of D's Husband. C is the president of Women's Association. F is a Sitar Player, and Bachelor. B's wife is not a member of the Club. Four of them belong to the same family. B and F are colleagues in the club. How is F related to B? (A) Wife (C) Father (B) Husband (D) Impossible to determine

6 8 P a g e 39. If Sohan, while selling two goats at the same price, makes a profit of 10% on one goat and suffers a loss of 10% on the other. Then, (A) he makes no profit and no loss (B) he makes a profit of 1%. (C) he suffers a loss of 1% (D) he suffers a loss of 2% 40. Assuming I have an infinite supply of coins. What is the fewest number of coins would be required in order to make sure each and every coin touched exactly three other coins. (A) 3 (B) 4 (C) 9 (D) If x+y+z=21 then find the maximum value of (x+2) (y+2) (z+2). (A) 343 (C) 1029 (B) 729 (D) A student divided a number by 6/7 instead of 7/6. Calculate percentage error: (A) (C) (B) (D) A worker reaches his factory 3 minutes late if his speed from his house to the factory is 5 km/hr. If he walks at a speed of 6 km/hr, then he reaches the factory 7 minutes early. The distance of the factory from his house is: (A) 3 km (C) 5 km (B) 4 km (D) 6 km 44. Find the odd one out: 253,136,352,460,324,631,244 (A) 324 (C) 244 (B) 136 (D) Select a suitable figure from the four alternatives that would complete the figure matrix (1) (2) (3) (4) (A) 1 (C) 3 (B) 2 (D) 4

7 9 P a g e SECTION B: General Awareness 46. The player who won a Silver Medal in Rio Olympic 16 From India (A) Sakshi Malik (C) Dipa Karmakar 47. Rafael fighter jet plane brought by India from. (A) Russia (C) USA 48. Indus Water treaty is signed between (A) India & Pakistan (C) India & Sri Lanka (B) PV Sindhu (D) Abhinav Bindra (B) France (D) China (B) India & China (D) India & Nepal 49. Which is the 1st educational institution to get super computer in India? (A) IISC Bengaluru (B) IIT Kanpur (C) IIT Mumbai (D) IIT Delhi 50. Gallantry Award is conferred to (A) Players (C) Artist 51. Which cricket captain won all the major ICC trophies? (A) Ricky Ponting (C) M.S Dhoni 52. The present Defence Minister of India (A) Rajnath Singh (C) Manohar Parikar 53. Current CEO of Google (A) Mark Zuckerberg (C) Bill Gates 54. Boundary Demarcating Line between India and Pakistan (A) LOC (C) McMohan Line 55. 1st Indian to go into the space. (A) Rakesh Kumar (C) Rakesh Mehta (B) Army (D) Scientist (B) Virat Kohli (D) Imran Khan (B) Ajit Doval (D) Lt. Ranbeer Singh (B) Sundar Pichai (D) Steve Jobs (B) Radcliffe Line (D) Man Mohan Line (B) Rakesh Sharma (D) Rakesh Ayyar

8 10 P a g e 56. Present RBI governor (A) Raghuram G Rajan (C) Urjit Patel (B) Arjeet Patel (D) Vimal Jalana 57. Which of the following was the name of the nuclear bomb dropped on Hiroshima? (A) Little Boy (B) Fat Boy (C) Little Man (D) Fat Man 58. What was the name of the founder of the Fascist Party? (A) Benito Mussolini (C) Vladimir Lenin (B) Adolf Hitler (D) Joseph Stalin 59. The ratio of width of our National Flag to its length is (A) 3:5 (B) 2:3 (C) 2:4 (D) 3:4 60. Which of the following battles did not involve the Mughal army? (A) Battle of Buxar (C) Second Battle of Panipat (B) Battle of Haldighati (D) Third Battle of Panipat

MATHEMATICS WDM Level Advanced

MATHEMATICS WDM Level Advanced Problem Solving 70 What are the last two digits of 2 222? 71 John has a rectangular paved area in his yard. He increases both the length and the width of this paved area