Q1. In an examination it is required to get 65% of the aggregate marks to pass. A student gets 684 marks and is declared failed by 8% marks. What are the maximum aggregate marks that a student can get?
Q2. A and B are two pipes which can fill a tank individually in 15 minutes and 25 minutes respectively, however there is a leakage at the bottom of tank which can empty the filled tank in 30 minutes. If the tank is empty initially, how much time will both the taps take to fill the tank (leakage is still there)?
Q3. A solid metallic cylinder having 6cm radius and 24cm height is melted and recast into small spherical balls having 6cm diameter. Find the number of balls made after casting?
Q4. In how many different ways can the letters of the word ‘VIRTUAL’ be arranged such that vowels always come together?
Q5. Simple interest on Rs. 500 for 4 years at 6.25% per annum is equal to the simple interest on Rs. 400 at 5% per annum for a certain period of time. The period of time is:
Directions (6-10): What will come in the place of the question mark (?) in the following number series?
Q6. 1, 257, 385, 449, 481, ?
Q7. 10.8, 12.5, 9.1, 14.2, 7.4, ?
Q8. ?, 8, 29, 152, 1073, 9668
Q9. 12, 20, 30, 43, 60, ?
Q10. 5, 9, 16, 29, 54, ?
Q11. A vendor bought 8 onions in Rs. 3. To get a profit of 60%, at what rate he will sell these onions?
Q12. In a basket there are 3 red, 4 green and 5 white bolls respectively. 3 bolls are selected randomly. Find the probability that these bolls are green.
Q13. A, B and C start a business together by investing a total amount of 50,000. Sum of A is Rs. 4,000 more than that of B and sum of B is Rs. 5,000 more than that of C. If total profit at the end of a year was found to be Rs. 35,000, what is the share of A in the profit?
Q14. A and B can complete a work in 12 days together, B and C can complete the same work in 15 days together and A and C can complete that work in 20 days together. In how many days A can complete the same work alone?
Q15. One year before, the age of a person was 4 times of his son’s age. 6 years hence, his age will be 9 years more than twice age of his son. What is the ratio of their current ages?
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