41444.If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM?
24
31
32
30
41445.A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
1/22
3/22
2/91
2/77
41446.A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective, is:
4/19
7/19
12/19
21/95
41447.In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he has offered English or Hindi ?
2/5
3/4
3/5
3/10
41448.A box contains 6 red balls, 7 green balls and 5 blue balls. Each ball is of a different size. The probability that the red ball being selected is the smallest red ball, is
1/18
1/3
1/6
2/3
41449.If A and B are 2 independent events and P(A)=0.5 and P(B) = 0.4, find P(A/B):
0.5
0.4
0.88
None of these
41450.A 5-digit number is formed by the digits 1,2,3,4 and 5 without repetition. What is the probability that the number formed is a multiple of 4?
1/4
1/5
2/5
1/120
4
41451.In a single throw of dice, what is the probability to get a number greater or equal to 4?
1/3
2/3
1/2
None of these
41452.A bag contains 5 oranges, 4 bananas and 3 apples. Rohit wants to eat a banana or an apple. He draws a fruit from the bag randomly. What is the probability that he will get a fruit of his choice?
3.5/12
7/12
5/12
None of these
41453.There are two boxes A and B. Box A has three red and four blue balls. Box B has five red and two blue balls. Anya draws a ball from each bag randomly. What is the probability that both balls are red?
4/7
8/49
7/8
15/49
41454.Ravi has a bag full of 10 Nestle and 5 Cadbury chocolates. He draws two chocolates. What is the probability that he got at least one Nestle chocolate?
2/3
3/7
2/21
None of these
41455.The probability of having at least one tail in 5 throws of a coin is
1/32
31/32
1/5
None of these
41456.A bag contains 5 yellow and 4 brown pencils. If two pencils are drawn, what is the probability that the pencils are of the same colour?
5/108
1/6
5/18
4/9
41457.A single letter is drawn at random from the word, "ASPIRATION", the probability that it is a vowel is?
1/2
1/3
3/5
2/5
41458.The probability that a man can hit a target is 3/4. He tries 5 times. The probability that he will hit the target at least three times is:
291/364
371/464
471/502
459/512
41459.An unbiased dice is rolled 3 times. The probability that the value on the dice is not more than 4 in any of the 3 rolls is:
8/27
1/27
26/27
2/3
41460.Probability of occurrence of event A is 0.5 and that of event B is 0.2. The probability of occurrence of both A and B is 0.1. What is the probability that none of A and B occur?
0.3
0.4
0.7
None of these
41461.An unbiased coin is tossed 5 times. If tail appears on first four tosses, then probability of tail appearing on the fifth toss is:
1/2
1
0
4/5
41462.X and Y are two independent events. The probability that X and Y occur is 1/12, and the probability that neither occur is 1/2, the probability of occurrence of X can be:
1/3
1/5
1/2
1/10
41463.An unbiased coin is tossed n times. If the probability of getting 4 tails equals the probability of getting 7 tails, then the probability of getting two tails is:
55/2048
3/4096
1/1024
None of these
41464.Sudhanshu and Pankaj stand in a circle with 10 other persons. If the arrangement of the person is at random, then the probability that there are exactly 3 persons between Sudhanshu and Pankaj is?
9/11
2/11
1/11
None of these
41465.Three numbers are chosen from 1 to 30 randomly. The probability that they are not consecutive is:
1/145
144/145
139/140
1/140
41466.A bag is full of 20 bananas and no other fruit. Rajeev draws a fruit from the bag. What is the probability that he will draw a banana?
1
0
1/2
None of these
41467.An unbiased dice is rolled 5 times and the outcomes are 1, 2, 3, 4 and 5 respectively. If it is rolled again, what is the probability that the outcome is 6?
1
5/6
1/6
None of these
41468.The probability of drawing an apple from a bag of fruits is 6/25. How many apples should Ravi draw, so that there is a chance he will draw 12 apples on average?
25
50
12
None of these
41470.Rani has a bag with three blue and three yellow coins. She takes out a coin, sees its colour and puts it back in the bag. She does this thrice. What is the probability that she saw all blue coins.
1/8
1/2
1/3
None of these
41471.Shikhar has a bag with 2 balls, each of which can be black or white with equal probability. Now, he draws out a ball and it turns out to be black. After this event, what is the probability that both balls are black?
1/2
1/4
1
None of these
41472.A coin is tossed thrice. What is the probability that the first toss of coin lands head, second tail and third lands tail as well?
1/16
3/8
1/8
None of these
41473.The probability of occurrence of event A is 0.3 and that of event B is 0.4. The events are independent. What is the probability of occurrence of both A and B?
0.7
0.1
0.12
Cannot be determined
41474.The probability of occurrence of event A is 0.1 and that of event B is 0.2. The events are mutually exclusive. What is the probability of occurrence of both A and B?
0.1
0
1
Cannot be determined
41475.The probability of occurrence of event X is 0.8 and that of event Y is 0.05. The events are mutually exclusive. What is the probability of occurrence of either X or Y?
0.85
0.75
0
Cannot be determined
41476.10% of the voters did not cast their vote in an election between two candidates. 10% of the votes polled were found invalid. The successful candidate got 54% of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the vo
25000
33000
35000
40000
41477.A, B, C started a business with their investments in the ratio 1:3:5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year is:
4:3:5
5:6:10
6:5:10
10:5:6
41478.Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
Rs. 169.50
Rs. 170
Rs. 175.50
Rs. 180
41479.A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the can initially ?
10
20
21
25
41480.A man bought a number of clips at 3 for a rupee and an equal number at 2 for a rupee. At what price per dozen should he sell them to make a profit of 20% ?
Rs 4
Rs 5
Rs 6
Rs 7
41481.Padam purchased 30 kg of rice at the rate of 17.50 per kg and another 30 kg rice at a certain rate. He mixed the two and sold the entire quantity at the rate of Rs. 18.60 per kg and made 20% overall profit. At what price per kg did he purchase the lot
Rs.12.50
Rs. 13.50
Rs. 14.50
Rs. 15.50
None of these
41482.The manufacturer of a certain item can sell all he can produce at the selling price of Rs. 60 each. It costs him Rs. 40 in materials and labour to produce each item and he has overhead expenses of Rs. 3000 per week in order to operate the plant. The numb
200
250
300
400
41483.A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is:
Rs. 110
Rs.120
Rs. 125
Rs. 150
41484.If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is:
Rs. 50
Rs. 160
Rs. 200
Rs. 225
41485.Consider the following statements : If a sum of money is lent at simple interest, then the
1. Money gets doubled in 5 years if the rate of interest is 50/3 %.
2. Money gets doubled in 5 years if the rate of interest is 20%.
3. Money becomes
1. Money gets doubled in 5 years if the rate of interest is 50/3 %.
2. Money gets doubled in 5 years if the rate of interest is 20%.
3. Money becomes
1 and 3 are correct
2 alone is correct
3 alone is correct
2 and 3 are correct
41486.The difference between simple interest and compound interest on Rs.1200 for one year at 10% per annum reckoned half-yearly is:
Rs. 2.50
Rs. 3
Rs. 3.75
Rs. 4
None of these
41487.A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs. 482 more, if the interest was payable half-yearly than if it was payable annually. The sum is:
Rs. 10,000
Rs. 20,000
Rs. 40,000
Rs. 50,000
41488.The simple interest on Rs. 10 for 4 months at the rate of 3 paise per rupee per month is:
Rs. 1.20
Rs. 1.60
Rs. 2.40
Rs. 3.60
41489.If the compound interest on a sum for 2 years at 25/2 % per annum is Rs. 510, the simple interest on the same sum at the same rate for the same period of time is:
Rs. 400
Rs. 450
Rs. 460
Rs. 480
41490.I started on my bicycle at 7 a.m. to reach a certain place. After going a certain distance, my bicycle went out of order. Consequently, I rested for 35 minutes and came back to my house walking all the way. I reached my house at 1 p.m. If my cycling s
4.92 km
13.44 km
14.375 km
15.476 km
41491.A bag contains 10-paisa, 20-paisa and 25-paisa coins in the ratio 7:4:3. If the total value is Rs. 90, the number of 25-paisa coins in the bag is:
120
160
280
300
41492.Find a whole number such that when one of its digit is erased, the resulting number is equal to one-ninth of the original number. The resulting number is also a multiple of 9.
90
83438
10125
70847
41493.A ship is moving at a speed of 30 kmph. To know the depth of the ocean beneath it, it sends a radiowave which travels at a speed 200 m/s. The ship receives back the signal after it has moved 500 m. What is the depth of the ocean?
4 km
8 km
6 km
12 km