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Question 1 of 10
1. Question
A bag contains 5 red balls, 3 blue balls and 2 green balls. If three balls are randomly drawn from the bag then what is the probability that one ball is blue and two balls are green?
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Question 2 of 10
2. Question
A man can row a boat at a speed of 6 kmph in still water. He goes to a certain point downstream and comes back to the starting point in a river. The speed of flowing water is 2.8 kmph. What is the average speed of the boat for the entire journey (in kmph approx)?
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Question 3 of 10
3. Question
The volume of a cylinder is 450 cubic cm. Find the volume of the cone, if the base and the height of the cone and the cylinder are the same.
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Question 4 of 10
4. Question
Sohan is half as good a workman as Pratap and together they finish a piece of work in 24 days. The number of days taken by Sohan alone to finish the work is
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Question 5 of 10
5. Question
A, B and C started a business with their investments in the ratio of 1 : 2 : 3. After 6 months, A invested the same amount as before and B and C withdrew half of their investments. The ratio of their profits at the end of the year is
Correct
Let the initial investment of A, B and C be x, 2x and 3x respectively. A’s investment for 6 months = 6x and remaining 6 months = 2x × 6 = 12x B’s investment for 6 months = 2x × 6 = 12x And remaining 6 months = x × 6 C’s investment for 6 months = 3x × 6 = 18x And remaining 6 months = 1.5x × 6 = 9x Reqd. ratio of profit =ratio of investment =(6x + 12x) : (12x + 6x) : (18x + 9x) = 2 : 2 : 3
Incorrect
Let the initial investment of A, B and C be x, 2x and 3x respectively. A’s investment for 6 months = 6x and remaining 6 months = 2x × 6 = 12x B’s investment for 6 months = 2x × 6 = 12x And remaining 6 months = x × 6 C’s investment for 6 months = 3x × 6 = 18x And remaining 6 months = 1.5x × 6 = 9x Reqd. ratio of profit =ratio of investment =(6x + 12x) : (12x + 6x) : (18x + 9x) = 2 : 2 : 3
Question 6 of 10
6. Question
The ratio of the ages of Sweta and Santoshi is 9 : 4. If after 10 years, Santoshi’s age would be the same as the present age of Sweta, find the present age of Sweta (in years).
Correct
Let the ages of Sweta and Santoshi be 9x and 4x. Then, after 10 years 4x + 10 = 9x ∴ x = 2 ∴ Sweta’s age =9 × 2 = 18 years
Incorrect
Let the ages of Sweta and Santoshi be 9x and 4x. Then, after 10 years 4x + 10 = 9x ∴ x = 2 ∴ Sweta’s age =9 × 2 = 18 years
Question 7 of 10
7. Question
A man purchases two watches for Rs 665. He sells one of them one at 20% profit and the other at 15% loss. Thus, he neither gains nor loses. Find the Cost price of each watch.
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Question 8 of 10
8. Question
In Mathematics examination, a student scored 55% marks in the first paper out of 180. How much per cent marks should he score in the second paper of 160 marks if he is to get an overall of 75% marks?
Correct
Marks obtained in the first paper Marks to be obtained in both the papers ∴ Marks to be obtained necessarily in second paper = 255 – 99 = 156 ∴ Percentage of marks to be obtained in second paper
Incorrect
Marks obtained in the first paper Marks to be obtained in both the papers ∴ Marks to be obtained necessarily in second paper = 255 – 99 = 156 ∴ Percentage of marks to be obtained in second paper
Question 9 of 10
9. Question
Find the total number of ways in which the letters of the word MILLION can be arranged so that the two I’s do not come together?
Correct
Total number of arrangements in which is do not come together = Total possible arrangements with no restrictions-Total number of arrangements in which is come together. Now, Possible no. of ways And total number of ways where is come together Reqd. Answer = 1260 – 360 = 900
Incorrect
Total number of arrangements in which is do not come together = Total possible arrangements with no restrictions-Total number of arrangements in which is come together. Now, Possible no. of ways And total number of ways where is come together Reqd. Answer = 1260 – 360 = 900
Question 10 of 10
10. Question
To fill a tank, A, B and C take 10 minutes, 15 minutes and 12 minutes respectively. If the three pipes are opened alternately for 1 minute each, the how long will it take to fill the tank?