1.If 2x-y=4 then 6x-3y=? (a)15 2.If x=y=2z and xyz=256 then what is
the value of x? 3. (1/10) (a) 99/10 Ans. (a) 4.Pipe A can fill in 20 minutes and Pipe B in 30 mins and Pipe C can empty the same in 40 mins.If all of them work together, find the time taken to fill the tank (a) 17 1/7 mins Ans. (a) 5. Thirty men take 20 days to complete a job working 9 hours a day.How many hour a day should 40 men work to complete the job? (a) 8 hrs Ans. (b) 6. Find the smallest number in a GP whose sum is 38 and product 1728 (a) 12 Ans. (c) 7. A boat travels 20 kms upstream in 6 hrs and 18 kms downstream in 4 hrs.Find the speed of the boat in still water and the speed of the water current? (a) 1/2 kmph Ans. (b) 8. A goat is tied to one corner of a square plot of side 12m by a rope 7m long.Find the area it can graze? (a) 38.5 sq.m Ans. (a) 9. Mr. Shah decided to walk down the escalator of a tube station. He found that if he walks down 26 steps, he requires 30 seconds to reach the bottom. However, if he steps down 34 stairs he would only require 18 seconds to get to the bottom. If the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom, find out the height of the stair way in steps? Ans.46 steps. 10. The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member ? Ans.40 years. 11. Three containers A, B and C have volumes a, b, and c respectively; and container A is full of water while the other two are empty. If from container A water is poured into container B which becomes 1/3 full, and into container C which becomes 1/2 full, how much water is left in container A? 12. ABCE is an isosceles trapezoid and ACDE is a rectangle. AB = 10 and EC = 20. What is the length of AE? Ans. AE = 10. 13. In the given figure, PA and PB are tangents to the circle at A and B respectively and the chord BC is parallel to tangent PA. If AC = 6 cm, and length of the tangent AP is 9 cm, then what is the length of the chord BC? Ans.BC = 4 cm. 15 Three cards are drawn at random from an ordinary pack of cards. Find the probability that they will consist of a king, a queen and an ace. Ans. 64/2210. 16. A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were ? Ans. 991. 17. If Log2 x - 5 Log x + 6 = 0, then what would the value / values of x be? Ans. x = e2 or e3. 18. The square of a two digit number is divided by half the number. After 36 is added to the quotient, this sum is then divided by 2. The digits of the resulting number are the same as those in the original number, but they are in reverse order. The ten's place of the original number is equal to twice the difference between its digits. What is the number? Ans. 46 19.Can you tender a one rupee note in such a manner that there shall be total 50 coins but none of them would be 2 paise coins.? Ans. 45 one paisa coins, 2 five paise coins, 2 ten paise coins, and 1 twenty-five paise coins. 20.A monkey starts climbing up a tree 20ft. tall. Each hour, it hops 3ft. and slips back 2ft. How much time would it take the monkey to reach the top? Ans.18 hours. 21. What is the missing number in this series? 8 2 14 6 11 ? 14 6 18 12 Ans. 9 22. A certain type of mixture is prepared by mixing brand A at Rs.9 a kg. with brand B at Rs.4 a kg. If the mixture is worth Rs.7 a kg., how many kgs. of brand A are needed to make 40kgs. of the mixture? Ans. Brand A needed is 24kgs. 23. A wizard named Nepo says "I am only three times my son's age. My father is 40 years more than twice my age. Together the three of us are a mere 1240 years old." How old is Nepo? Ans. 360 years old. 24. One dog tells the other that there are two dogs in front of me. The other one also shouts that he too had two behind him. How many are they? Ans. Three. 25. A man ate 100 bananas in five days, each day eating 6 more than the previous day. How many bananas did he eat on the first day? Ans. Eight. 26. If it takes five minutes to boil one egg, how long will it take to boil four eggs? Ans. Five minutes. 27. The minute hand of a clock overtakes the hour hand at intervals of 64 minutes of correct time. How much a day does the clock gain or lose? Ans. 32 8/11 minutes. 28. Solve for x and y: 1/x - 1/y = 1/3, 1/x2 + 1/y2 = 5/9. Ans. x = 3/2 or -3 and y = 3 or -3/2. 29. Daal is now being sold at Rs. 20 a kg. During last month its rate was Rs. 16 per kg. By how much percent should a family reduce its consumption so as to keep the expenditure fixed? Ans. 20 %. 30. Find the least value of 3x + 4y if x2y3 = 6. Ans. 10. 31. Can you find out what day of the week was January 12, 1979? Ans. Friday. 32. A garrison of 3300 men has provisions for 32 days, when given at a rate of 850 grams per head. At the end of 7 days a reinforcement arrives and it was found that now the provisions will last 8 days less, when given at the rate of 825 grams per head. How, many more men can it feed? Ans. 1700 men. 33. From 5 different green balls, four different blue balls and three different red balls, how many combinations of balls can be chosen taking at least one green and one blue ball? Ans. 3720. 34. Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 1 minute each, how soon will the tank be filled? Ans. 167 minutes. 35. A person walking 5/6 of his usual rate is 40 minutes late. What is his usual time? Ans. 3 hours 20 minutes. 36.For a
motorist there are three ways going from City A to City C. By way of bridge the
distance is 20 miles and toll is $0.75. A tunnel between the two cities is a
distance of 10 miles and toll is $1.00 for the vehicle and driver and $0.10 for
each passenger. A two-lane highway without toll goes east for 30 miles to city
B and then 20 miles in a northwest direction to City C.
I. Bookeepers A and C are
constantly finding fault with one another and should not be sent together to
the new office as a team 1.If A is to be moved as
one of the bookeepers,which of the following cannot be a possible working unit. 1.At the first interview
the following candidates appear A,B,D.Which of the follwing combinations can be
called for the interview to be held next week. A.I and II Q1. On Jan 10th,
with the temperature at 15 degree farenheit, it snows all day. On how many
lines will service be (A) 2 Ans. D
(A) 2 Ans. C
(A) A snowy afternoon
with the temperature at 45 degree farenheit Ans. B
Q1. A brown female could have had I. A grandfather born Red (A) I only Ans. D
(A) An uncle in either
group Ans. A
(A) A brown male marrying
his father's sister Ans. B
(A) A woman marrying her
dead sister's husband Ans. D
45. There are six steps
that lead from the first to the second floor. No two people can be on the same
step 1. If Mr. A is on the
first step, Which of the following is true? Ans: (d) 2. If Mr. E was on the
third step & Mr. B was on a higher step than Mr. E which step must be
vacant Ans: (a) 3. If Mr. B was on step
1, which step could A be on? Ans: (c) 4. If there were two steps between the step that A was standing and the step that B was standing on, and A was on a higher step than D , A must be on step (a) 2 Ans: (c)
(a) i only Ans: (c) 46. Six swimmers A, B, C,
D, E, F compete in a race. The outcome is as follows. 1. Who stood fifth in the
race ? Ans: (e) 2. How many swimmers
seperate A and F ? Ans: (d) 3. The swimmer between C
& E is Ans: (a) Ans: (b) 47. Five houses lettered
A,B,C,D, & E are built in a row next to each other. The houses are lined up
in the order A,B,C,D, & E. Each of the five houses has a colored chimney. The
roof and chimney of each housemust be painted as follows. 1. Which of the following
is true ? Ans: (c) 2. Which must be false ? Ans: (b) 3. If house C has a
yellow roof. Which must be true. Ans: (a) 4. Which possible
combinations of roof & chimney can house Ans: (e) 48. Find x+2y Ans: (b) Ans: (e) 50. Is x greater than y Ans: (e) |