1) There are two three-digit numbers. When one number is divided by another number, quotient obtained is 6 and remainder is 0. The sum total of both the numbers is a multiple of 504. What is the difference between the numbers?
a) 720 b) 360
c) 120 d) 420
2) If a number is divided by 15, it leaves a remainder of 7. If thrice the number is divided by 5, then what is the remainder?
a) 5 b) 6 c) 7 d) 1
3) A number when divided by 391 gives a remainder of 49. Find the remainder when it is divided by 39.
a) 10 b) 9 c) 11
d) Cannot be determined
4) The LCM of two numbers is 40 times of their HCF. The sum of the LCM and HCF is 1476. If one of the numbers is 288, fi nd the other numbers.
a) 169 b) 180
c) 240 d) 260
5) Four bells toll at intervals of 14, 21, and 42 min, respectively. If they toll together at 11:22 am, when will they toll together for the fi rst time after that?
a) 11:56 am b) 12:04 pm
c) 12:06 pm d) 11:48 am
6) How many number of zeroes will be there at the end of 12! expressed in base 6?
a) 4 b) 5 c) 6 d) 7
7) Find the last non zero digit of 96!
a) 2 b) 4 c) 6 d) 8
8) Of 128 boxes of oranges, each box contains at least 120 and at most 144 oranges. The number of boxes containing the same number of oranges is at least:
a) 5 b) 6 c) 103
d) None of these
9) Three friends P, Q, and R donate 8%, 7%, and 9% of their salary to a charitable hospital in the given order. Salary of P and Q is same and the diff erence of their donations is Rs 74. The total donation by the P and Q is Rs 525 more than R’s donation. What is the percentage of the total salary of the three donations ?
a) 7.95% b) 8.3%
c) 6.34% d) None of these
10) In an election, 10% of the voters on the voter’s list did not cast their votes, and 60 voters cast their ballot papers blank. There were only two candidates. The winner was supported by 47% of all voters in the list and he got 308 votes more than his rival. The number of voters on the list were
a) 3600 b) 6200
c) 4575 d) 6028
11) The numbers are, respectively, 30% and 40% of a third number. What percentage is the first number of the second number?
a) 25% b) 50%
c) 40% d) 75%
12) A sum of Rs 6600 was taken as a loan. This is to be repaid in two annual installments. The rate of interest is 20%,which compounded annually. Find the value of each installment.
a) Rs 4320 b) Rs 2220
c) Rs 4400 d) Rs 4420
13) A sum of money becomes eight times in 3 yr, if the rate is compounded annually. In how years the same amount at the same compound interest rate will become sixteen times?
a) 6 yr b) 4 yr
c) 8 yr d) 5 yr
14) An article is bought for Rs 600 and sold for Rs 750. What is the profit percentage?
a) 20% b) 25% c) 30%
d) None of these
15) A seller offers discounts on the basis of the number of articles purchased. He gives a discount of 10% when 5 articles are bought and a discount of 12.5% when 8 articles are bought. If the profit he makes in each case is the same, fi nd the ratio of the marked price to the cost price of the article.
a) 4:3 a) 3:4 c) 6:5
d) None of these
16) A shopkeeper sells his goods at its CP only. But he uses 750g weight at the place of 1000g weight for a kg. What is his net profit percentage?
a) 25% b) 20%
c) 16.66% d) 33.33%
17) In a prep school, the average weight of 30 girls in a class of 50 students is 16 kg and that of the remaining students is 15.5 kg. What is the average weight of the all the students in the class?
a) 15.2 kg b) 15.8 kg
c) 15.4 kg d) None of these
18) In what ratio must 35% spirit solution be mixed with pure spirit to get a resultant solution of 56% spirit?
a) 35:44 b) 44:21
c) 8:3 d) 56:9
19) A vessel contains a mixture of two liquids A and B in the ratio of 7:5. When 9 L of the mixture is taken out and the vessel is filled with B, the ratio of A and B is now 7:9. How many litres of liquid A was there in the vessel initially?
a) 24 L b) 21 L
c) 18 L d) 27 L
20) What number must be subtracted from both the numerator and the denominator 27:35, so that it becomes equal to 2:3?
a) 8 b) 12 c) 6
d) None of these
21) Inspector Vijay Shankar spends one-fourth of his salary on the house rent, one-third on food and one-sixth on travel. After spending one-tenth of the remaining amount on clothes, he is left with Rs 13,500. What is the difference between the amounts spent on the house rent and food?
a) Rs 7500 b) Rs 10,000
c) Rs 4000 d) Rs 5000
22) If 35 persons can do a piece of work in 6 days, in how many days, can 15 persons do it?
a) 12 b) 14 c) 16 d) 18
23) A can do a job in 20 days, B in 30 days, and C in 60 days. If A is helped by B and C every third day. How long will it take for them to complete the job?
a) 12 days b) 4 days
c) 15 days d) 18 days
24) A pipe can fi ll a cistern in 6 h. Due to a leak in its bottom, it is fi lled in 7 h. When cistern is full, in how much time will it be emptied by the leakage?
a) 42 h b) 40 h
c) 43 h d) 45 h
25) A certain number of men can fi nish a piece of work in 100 days. If however there were 10 men less, it would take another 10 days to fi nish the work. How many men were there originally?
a) 50 b) 75 c) 82 d) 110
26) Anil calculated that it will take 45 min to cover a distance of 60_km by his car. How long will it take to cover the same distance if the speed of his car is reduced by 15_km/h (approximate)?
a) 36 min b) 55 min
c) 48 min d) 40 min
27) A car travels from Patna to Jehana bad at a speed of 65_km/h in 1 h. If the speed is reduced by 15km/h then, how much more time will the car take to cover the same distance?
a) 12 min b) 16 min
c) 18 min d) 44 min
28) The sum of the ages of the 4 members of Sinha family is 140 years. 5 years ago the ages of the 4 members Nishu, Vicky, Mrs Sinha and Mr Sinha were in the ratio of 2:3:7:8. After how many years would Nishu be as old as the present age of his mother?
a) 10 yrs b) 17 yrs
c) 30 yrs d) 32 yrs
29) Four years ago, the ratio of the ages of A and B was 13:9 and eight years hence, it would be 4:3. The difference of their present ages is:
a) 56 years b) 40 years
c) 16 years d) 24 years
30) The monthly income of A and B are in the ratio of 3:2, and their expenditures are in the ratio of 5:3. If each of them saves Rs 1000 a month, then what is the income of A?
a) Rs 4000 b) Rs 6000
c) Rs 9000 d) None of these
31) In a kilometre race, A beats B by 10m. In a two kilometers race, A beats B by:
a) 10m b) 20m
c) 40m d) 25m
32) Sona travels 600km to his house partly by train and partly by car. He takes 8 h if he travels 120km by train and the rest by car. He takes 20 min more if he travels 200km by train and the rest by car. Find the speed of the train in km/h.
a) 45 b) 60 c) 75
d) None of these
ansres
1.a 2.d 3.d 4.b 5.b
6.b 7.d 8.b 9.a 10.b
11.d 12.a 13.b 14.b 15.c
16.d 17.b 18.b 19.b 20.d
21.d 22.b 23.c 24.a 25.d
26.b 27.c 28.c 29.c 30.b
31.b 32.b
Authorization