30 Questions
| Total Attempts: 1567

Questions and Answers

- 1.What number should be subtracted from x
^{3}+ 4x^{2}- 7x + 12 if it is to be perfectly divisible by x + 3?- A.
42

- B.
39

- C.
13

- D.
None of these

- 2.When 242 is divided by a certain divisor the remainder obtained is 8. When 698 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4. What is the value of the divisor?
- A.
11

- B.
17

- C.
13

- D.
23

- 3.Ram and Shyam take a vacation at their grandparents' house. During the vacation, they do any activity together. They either played tennis in the evening or practiced Yoga in the morning, ensuring that they do not undertake both the activities on any single day. There were some days when they did nothing. Out of the days that they stayed at their grandparents' house, they involved in one of the two activities on 22 days. However, their grandmother while sending an end of vacation report to their parents stated that they did not do anything on 24 mornings and they did nothing on 12 evenings. How long was their vacation?
- A.
36 days

- B.
14 days

- C.
29 days

- D.
Cannot be determined

- 4.There are 6 boxes numbered 1, 2,...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

- 5.How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed?
- A.
499

- B.
500

- C.
375

- D.
376

- 6.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!

- 7.Pipe A fills a tank of 700 litres capacity at the rate of 40 litres a minute. Another pipe B fills the same tank at the rate of 30 litres a minute. A pipe at the bottom of the tank drains the tank at the rate of 20 litres a minute. If pipe A is kept open for a minute and then closed and pipe B is kept open for a minute and then closed and then pipe C is kept open for a minute and then closed and the cycle repeated, how long will it take for the empty tank to overflow?
- A.
42 minutes

- B.
14 minutes

- C.
39 minutes

- D.
40 1/3 minutes

- 8.There are 12 pipes that are connected to a tank. Some of them are fill pipes and the others are drain pipes. Each of the fill pipes can fill the tank in 8 hours and each of the drain pipes can drain the tank completely in 6 hours. If all the fill pipes and drain pipes are kept open, an empty tank gets filled in 24 hours. How many of the 12 pipes are fill pipes?
- A.
6

- B.
8

- C.
7

- D.
5

- 9.How many scalene triangles exist whose sides a, b and c are natural numbers less than 8?
- A.
13

- B.
14

- C.
15

- D.
16

- 10.A gentleman buys every year Bank's cash certificates of value exceeding the 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.
Rs.4900

- B.
Rs.6900

- C.
Rs.1300

- D.
None of these

- 11.The sum of the first 50 terms common to the Arithmetic Sequence 15, 19, 23..... and the Arithmetic Sequence 14, 19, 24..... is.
- A.
25450

- B.
24550

- C.
50900

- D.
49100

- 12.The sum of the first and the 9
^{th}of an arithmetic progression is 24. What is the sum of the first nine terms of the progression?- A.
240

- B.
216

- C.
108

- D.
120

- 13.If the price of petrol increases by 25% and Raj intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?
- A.
10%

- B.
12%

- C.
8%

- D.
6.67%

- 14.In an election contested by two parties, Party D secured 12% of the total votes more than Party R. If party R got 132,000 votes, by how many votes did it lose the election?
- A.
300,000

- B.
168,000

- C.
36,000

- D.
24,000

- 15.If the price of petrol increases by 25%, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?
- A.
25%

- B.
16.67%

- C.
33.33%

- D.
20%

- 16.A cyclist drove one kilometer, with the wind in his back, in three minutes and drove the same way back, against the wind in four minutes. If we assume that the cyclist always puts constant force on the pedals, how much time would it take him to drive one kilometer without wind?
- A.
3 3/7

- B.
4 5/9

- C.
6 9/12

- D.
5 3/4

- 17.In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
- A.
30%

- B.
70%

- C.
100%

- D.
250%

- 18.The price of a jewel, passing through three hands, rises on the whole by 65%. If the first and second sellers earned 20% and 25% profit respectively,find the percentage profit earned by the third seller?
- A.
10

- B.
20

- C.
25

- D.
30

- 19.A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
- A.
32

- B.
48

- C.
64

- D.
96

- 20.In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
- A.
32

- B.
48

- C.
36

- D.
60

- 21.Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:
- A.
30 km/hr

- B.
45 km/hr

- C.
60 km/hr

- D.
75 km/hr

- 22.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.
2 : 3 : 4

- B.
6 : 7 : 8

- C.
6 : 8 : 9

- D.
None of these

- 23.There are 3 persons Sudhir, Arvind, and Gauri. Sudhir lent cars to Arvind and Gauri as many as they had already. After some time Arvind gave as many cars to Sudhir and Gauri as many as they have. After sometime Gauri did the same thing. At the end of this transaction each one of them had 24. Find the cars each originally had.
- A.
13,16,45

- B.
12,34,24

- C.
39,21,12

- D.
40,19,13

- 24.In a two-digit, 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.
24

- B.
26

- C.
42

- D.
46

- 25.A, B and C of 3 cadres are employed in the proportion of 1:2:3 to do a work and their wages are in the proportion of 6:3:2. When 50 men of cadre A are employed, total wages of all A,B,C cader amount to Rs. 9000 per day. Then the weekly wage paid to a person of cadre B is:
- A.
140

- B.
420

- C.
210

- D.
560