Q1. A mixture of milk and water contains 75% milk. If 8 liter of mixture is taken out and 7 liters of milk is added, then ratio of milk to water becomes 7 : 2. Find the quantity of mixture initially.
(a) 75 L
(b) 64 L
(c) 68 L
(d) 56 L
(e) 40 L
Q2. A shopkeeper in place of selling a article at 10% profit, mark up the article 30% above cost price and gives a discount of 10%. In this process he gets Rs. 56 more profit. Find the cost price of article.
(a) Rs. 400
(b) Rs. 1000
(c) Rs. 800
(d) Rs. 600
(e) Rs. 500
Q3. Hemant makes profit on selling a book at a certain price. If he sells it at Rs. 4 more than it’s selling price, then be would gain 1/4th of cost price. Find new selling price of book?
(a) Rs. 32
(b) Rs. 36
(c) Rs. 34
(d) Rs. 40
(e) Rs. 48
Q4. Manoj invests Rs. 1800 in two parts at SI at 4% and x% for two years. When he invests larger part at x% and smaller part at 4% then he gets total of Rs. 164 as interest and when he invests larger part at 4% and smaller part at x% then he gets total of Rs. 160 as interest. Find value of x%?
(e) None of these
Q5. Find the probability of selecting a two-digit number at random such that it should be a
multiple of 3 but not a multiple of 12?
Q6. Average score of Sachin in his initial 40 matches is ‘a’. In next two matches he scores 112 and 99 runs so that his average increased by 2 runs. Find his new average?
Q7. Two tap A and B can fill a tank in 12h and 10h respectively. Due to a leak in bottom of tank it takes 18h to fill the whole tank. If from the leak water is running at the rate of 46 lit/min, then find capacity of tank?
(a) 3600 lit
(b) 21600 lit
(c) 2160 lit
(d) 36000 lit
(e) None of these
Q8. A rectangular field was fenced at 4 Rs./meter and ratio of breadth to length of field is 9 : 4. If total cost of fencing was Rs. 208, then find area of the rectangular field?
Q9. Average of four numbers is 26. Sum of smallest and largest number is 55. If difference between other two number is one then find the square of second smaller number.
Q11. Ankur monthly salary is 48000, he spent 15% of his salary on Rent and 20% of remaining on the food. After that he invests 8140 Rs in mutual fund, he deposited 60% of remaining in his father’s account and remaining as saving. Find his annual saving.
Q12. From a group of 5 men and 10 women a committee has to formed of 5 members in which at least 2 men are required. Find the number of ways to form the committee.
Q13. What is the probability of getting one Red queen or a diamond card from well shuffled pack of card
Q14. In a college election between 2 students, 10% of votes cast were invalid. The winner got 70% of the valid votes and defeats the loser by 1800 votes. How many votes were cast in total?
(a) 4500 votes
(b) 6000 votes
(c) 5000 votes
(d) 4000 votes
(e) 5100 votes
Q15. If the average marks of 30 boys in a class is 45 and the total marks scored by all student together is 2800. Then find the average marks scored by girls if total student in class is 50?
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