Zoho Aptitude Training.docx.ppt

ZOHO PREVIOUS YEAR QUESTIONS

1. How many small cuboids of dimension 2m X 3m x 4 m can be accommodated in a cube of side 22 m. 2. A 2 digit number is divided by the sum of digits then it gives square root of the number. Find the 2 digit number.

3. What is the unit digit of 1 +9 +9^2 + 9^3 + .... 9^2773

4. There is a school with 100 students and correspondingly 100 lockers, all of which start off closed. The first student opens every locker and the second students closes every other locker starting with the second (2,4,6...etc..) . The 3rd student changes the state of the lockers numbered (3,6,9.. etc.). The fourth student changes the state of the lockers numbered (4,8,12.. etc..).. This continues until all the 100 students passes along the lockers.. when all the 100 student is done which locker is closed and which locker is in open condition?

5. In a jungle a man was at one end of the jungle. He has to give a 2 pieces of cake to his friend who was at the other end of the jungle. There were 7 bridges on the way with 7 gatekeepers. Each gatekeeper will take half of the cake he has and will give one piece back to him. How many cakes should the man carry initially?

6. In an exam, there were 25 math qns and 75 nonmath qns. To answer a math qn, a candidate was supposed to spend twice the time he spends to answer a nonmath qn. If the entire exam duration was 2 hrs, find the time he spent on the math qns. 7. The average speed of a man running a lap is 150 mph. He covers first two fifth of the lap at a speed of 123 mph and the second two fifth distance by 164 mph, so what is the time taken by him to cover the remaining one fifth distance?

8. There are 2 jars. One jar with the capacity of 5 ltrs and another with a capacity of 3 ltrs. You should fill 4ltrs of water using both of these jars, there's no measuring instrument available to measure. how will you fill 4 ltrs of water? 9. Find out the angle 2hrs : 45 mins in a clock? 10. Wall of 88 m. Man climb 12 and falls by 8, when he will reach at top?

11. If the value of x/2y = 2a, then what is the value of 2x/(x-2ay) equal to? 12. A group of friends goes for dinner and gets bill of Rs 2400 . Two of them says that they have forgotten their purse so remaining make an extra contribution of Rs 100 to pay up the bill. Tell the no. of person in that group. 13. The LCM of two positive nos is 168 and their product is 504. what is the difference in their squares?

14. 1 chocolate cost is Rs.1 & if we return 3 wrappers(covers) of chocolate we get 1 more chocolate. If u have Rs.15 how many chocolates do u get? 15. In what ratio must wheat A at Rs. 10.50 per kg be mixed with wheat B at Rs. 12.30 per kg, so that the mixture be worth of Rs. 11 per kg? 16. If selling price is doubled, the profit triples. Find the profit percent.

17. 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? 18. The calendar for the year 2007 will be the same for the year:

19. What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?

20. A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is: 21. A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is: 22. Odd one out – 6, 9, 15, 21, 24, 28, 30

23. A man completes a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and the second half at the rate of 24 km/hr. Find the total journey in km. 24. A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives: 25. How many times are the hands of a clock at right angle in a day?

26. The sum of the present ages of a father and his son is 60 years. Six years ago, father’s age was five times the age of the son. After 6 years, the son’s age will be: 27. In how many different ways can the letters of the word ‘LEADING’ be arranged in such a way that the vowels always come together? 28. The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:

29. In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by: 30. Three unbiased coins are tossed. What is the probability of getting at most two heads? 31. (1/2) of a number is 3 more than the (1/6) of the same number? Find the number.

32. 10 people, type 10 lines in 10 minutes, then to type 60 lines in 60 minutes, people needed are? 33. If Rs. 1260 is divided amongst A, B and C in the ratio 2:3:4. What is C’s share? 34. Least of number which when divided by 35,45,55 and leaves remainder 18,28,38,is? 35. There are two lights one is green another one is red. green blinks 2 times per a minute, red blinks 3 times per 2 minutes. If two lights are start at same time how many time they blink together in 1 hours

36. A cricketer has an average of 55 after playing 20 innings. How much runs should he scores in the next inning so as to increase the average to 57. a) 97 b)98 c) 96 d) 95 37. Kiran can do a piece of work in 9 days and Kumar can do the same work in 18 days. They started the work. After 3days Sanjay joined them, who can complete alone the same whole work in 3 days.What is the total number of days in which they had completed the work? a) 6 b) 12 c) 8 4) 4

38. A man can row 48 Km upstream and 56 Km downstream in 12 hrs. Also, he can row 54 Km upstream and 70 Km downstream in 14 hrs. What is the speed of man in still water a) 12 Km/hr b) 4 Km/hr c) 15 Km/hr d) 10 Km/hr 39. If the annual rate of simple interest increases from 8% to 13%, a man’s yearly income increases by Rs. 4800. His principle (in Rs.) is: a) Rs.90,000 b) Rs.96,000 c) Rs.88,000 d) Rs.1,00,000

40) Find in what ratio must water be mixed with alcohol to gain 10% profit by selling the mixture at cost price. a) 1:10 b) 1:20 c) 1:15 d) 1:5 41) A boat takes 25 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 5 Km/hr and the speed of the boat in still water is 10Km/hr, what is the distance between A and B? a) 146 Km b)122 Km c) 150 Km d) 100 Km

42) A sum of money is lent at simple interest and compound interest. The ratio between the difference of compound interest and simple interest of 3 years and 2 years is 35 : 11. What is the rate of interest per annum? a) 22 1/5 % b) 17 2/5% c) 18 2/11% d) 20 ¾% 43) Riya saves an amount of 500 every year and then lent that amount at an interest of 10% compounded annually. Find the amount after 3 years. a) 1940.5 b) 1820.5 c) 1840.5 d) 1920.5

44) A can type 100 letters in 5 minutes. B and C typing together can type 50 letters in 2 minutes. If all of them working together then can type 90 letters in how many minutes? a) 4 minutes b) 10 minutes c) 2 minutes d) 5 minutes 45) Hari and Vijay can together finish a work in 30 days. They worked together for 20 days and then Vijay left. After another 20 days, hari finished the remaining work. In how many days hari alone can finish the work? a) 35 b) 60 c) 50 d) 45

46) A sum of 3000 becomes 3600 in 3 years at 15% pa. What will be the sum at the rate after 9 years. a) 5184 b) 5124 c) 5192 d) 5186 47) The average age of a husband and his wife was25 years when they were married 7 years ago. Now the average age of husband, wife and his son is 23 years. Find the age of son now. a) 6 yr b) 3 yr c) 4 yr d) 5 yr

48) A and B can do a piece of work in 20 and 25 days respectively. They began to work together but A leaves after some days and B completed the remaining work in 12 days. Number of days after which A left the job. a) 6.7/9 days b) 5.7/9 days c) 7.7/9 days d) 11.7/9 days 49) Arjun gets 62 marks out of 100 in English. 81 out of 120 in Chemistry and 75 out of 150 in maths. The average marks of Arjun (in %) in all the three subjects is a) 72% b) 53% c) 60% d) 47%

50) (x-2) person can do a work in x days and (x+7) person can do 75% of the same work in (x-10) days. Then in how many days can (x+10) person finish the work? a) 12 days b) 18 days c) 27 days d) 25 days 51) The annual income of Puja, Hema and Jaya taken together is Rs. 46,000. Puja spends 70% of income, Hema spends 80% of her income and Jaya spends 92% of her income. If their annual savings are 15:11:10, find the annual saving of puja? a) 17,500/- b) 25,000/- c) 10,000/- d) 12,000/-

52) The average age of a class is 19 years. While the average age of boys is 20 and the average age of girls is 17. If the number of boys is 20 then find the number of girls in the class a) 10 b) 18 c) 15 d) 16 53) The average age of a group of persons going for tour to shimla is 22 years. 25 new persons with an average age of 10 years join the group and their average age becomes 12 years. The number of persons initially going for tour is? a) 10 b) 5 c)7 d) 8

54) 1.Two trains are 200 km apart, and travelling towards each other at 50 km/hour each. From one train a fly takes off, flying straight above the rails to the other train at the speed of 75 km/hour, bounces off it and flies back to the first train. This is repeated till the trains crash together and the fly is smashed (Headline: Fly Dies in Freak Train Crash) What distance is the fly able to fly until it meet its tragic end?

55) Find the next number in the series of numbers 77,49,36,18,? 56) 3.There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks in sock drawer. What is the least number of socks that you have to pull out to make sure that you will have a matching pair? (Assume that all the socks are identical except for the color) a) 3 b) 5 c) 7 d) 9 e)11

57) The puzzle's rules are pretty simple: You have three boxes, one of which contains a car. Each box is labeled with a statement, but only one of the statements is true. Box 1: The car is in this box. Box 2: The car is not in this box. Box 3: The car is not in Box 1. Which box has the car?

58) The average age of a committee of 12 members is 48 years. A member of the committee age 62 is retired and in place of him a new person aged 26 joined the committee. Find the new average of the committee. a) 45 b) 44 c) 46 d) 48 59) In a company the average income of all the employees is Rs.20000 per month. Recently the company announced increment of Rs. 2000 per month for all the employees. The new average income of all the employees is? a) 22000 b) 24000 c) 28000 d) 26000

60) Alice, Bob, Chris, Dave, Eric, Fred, Laura used to work in a restaurant for 6 days from Tue-Sun and every one is worked for one day and at least 2 members work on a day, Mon is holiday Restrictions: 1) Either Alice or Bob work on 1st day 2) Laura works only on 4th and 5th days 3) A 1day gap is left between Laura and Chris 4) Eric works Immediately after Bob Question: 1) What is the sequence persons from Tue-Sun?