Table of Contents

**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%?**

(a) 5%

(b) 6%

(c) 3%

(d) 7%

(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?**

(a) 4/15

(b) 23/90

(c) 7/30

(d) 1/3

(e) 11/45

**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? **

(a) 63.5

(b) 67.5

(c) 67

(d) 65.5

(e)61.5

**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? **

(a) 144m²

(b) 72m²

(c) 180m²

(d) 108m²

(e)36m²

**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.**

(a) 576

(b) 625

(c) 529

(d) 484

(e) 676

**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.**

(a) 9800

(b) 1176

(c) 90000

(d) 117600

(e) 8500

**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.**

(a) 1701

(b) 1200

(c) 1685

(d) 1600

(e) 720

**Q13. What is the probability of getting one Red queen or a diamond card from well shuffled pack of card**

(a) 15/52

(b) 11/52

(c) 4/13

(d) 7/26

(e) 1/13

**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?**

(a) 70

(b) 72.5

(c) 75

(d) 82

(e) 84.5

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