Table of Contents

**Q1. If X men can do a work in (X+16) days and (2X+32) men can do same work in 8 days then find in how man days (X-8) men can do half of the work.**

(a) 32 days

(b) 16 days

(c) 64 days

(d) 48 days

(e) 8 days

**Q2. A cylindrical solid toy (radius 12cm) is melted and poured into a beaker to form a solid cone. Due to splashing some molten metal splash outside the beaker so the volume of the cone reduced. Find the volume of molten metal that splash outside of the beaker if height of both cylinder and cone is 14cm while radius of cone is half of that of cylinder.**

(a) 1056 cm³

(b) 2244 cm³

(c) 3300 cm³

(d) 4356 cm³

(e) 5808 cm³

**Q3. The radius and height of a cylinder are increased by 12% and 17% respectively. Find the percentage increase in its curved surface area?**

(a) 35.41%

(b) 28.64%

(c) 31.04%

(d) 26.04%

(e) 25.04%

**Q4. How many 5-digit numbers can be formed which contain only one times the digit ‘3’.**

(a) 25,842

(b) 29,889

(c) 26,729

(d) 26,889

(e) 29,349

**Q5. A bag contains 5 red balls , X yellow balls and 4 green balls, if one ball drawn random from bag probability of being yellow ball is ¼ . If three balls will draw random from bag, then find probability of that at least two balls are yellow colour?**

(a) 9/55

(b) 5/66

(c) 3/55

(d) 7/55

(e) 8/55

**Q6. Pipe A can fill a tank in 45 hr, pipe B is 50% more efficient than A and pipe C can fill the same tank in 7.5 hr less than B. A and B opened together after X hr both pipe closed and pipe C filled remaining tank in (X + 9) hr, if the ratio between tank filled by (A + B) together to tank filled by pipe C is 1 : 2. Find the value of X ?**

(a) 2 hr

(b) 4 hr

(c) 12 hr

(d) 6 hr

(e) 8 hr

**Q7. 4 boys and 8 girls completed 1/3rd of work in 5 days. After that 3 boys & 3 girls increased, and they completed 1/3rd more work in 3 days. If remaining work is completed in 2 days, then find how many more girls should be increased?**

(a) 30 girls

(b) 90 girls

(c) None of these

(d) 40 girls

(e) 50 girls

**Q9. A man buys 2 balls and their cost price is in the ratio of 5: 6. If he sells them on 10% profit each, he earned total profit of Rs. 22. What will be his total profit, if he sell first ball on 20% loss and second at 30% profit.**

(a) Rs. 22

(b) Rs. 16

(c) Rs. 13

(d) Rs. 14

(e) Rs. 24

**Q10. Anurag , Sandeep & Ankit are three friends, while Anurag is 4 years younger than Sandeep. If ratio between ages of Sandeep & Ankit four years ago was 2 : 3 and eigth years hence will be 3 : 4, then find ratio between age of Anurag and Ankit four years hence will be?**

(a) 7 : 10

(b) 7 : 9

(c) 7 : 8

(d) 7 : 11

(e) 7: 12

**Directions (11-12): Given below in each question there are two statements (I) and (II). You have to determine, which statement is sufficient to give the answer of question. Also there are five alternatives given, you have choose one alternative as your answer of the questions:**

**Q12. What profit shopkeeper made on article?**

I . Shopkeeper sold article on 5% discount at Rs.7600.

II . If shopkeeper sold article on marked price, he would made a profit of 25%.

(a) Only statement I is sufficient

(b) Only statement II is sufficient

(c) Statement I and II both are required

(d) Either statement I or Statement II alone sufficient

(e) Neither statement I or statement II sufficient

**Q13. 3 years ago, Average age of father and his son was 36 year. Present age of mother is 3 years less than twice of the age of son and ratio of mother’s age 3 years later to the father’s age 4 years ago is 24 : 25. Then, find the present average age of family ?**

(a) 39 years

(b) 44 years

(c) 36 years

(d) 41 years

(e) 43 years

**Q14. If an article is sold at 25% discount at mark-price then loss percent is 10%. If the article is sold at marked price then what will be profit or loss percent ?**

(a) 50%

(b) 40%

(c) 30%

(d) 20%

(e) 25%

**Q15. A vessel contains mixture of petrol and diesel contains 75% petrol. When some quantity of kerosene oil is added in the vessel then mixture contains 50% petrol. Find ratio of quantity of kerosene oil to diesel in the final mixture.**

(a)8 : 3

(b)2 : 1

(c)1 :2

(d)3 :8

(e) None of the above.

**Q16. A pipe can fill an empty tank in 50 minutes. If there is a leak in middle of the tank, then the whole tank will be filled in 150 minutes. Find the time taken by pipe to completely fill the tank, if the leak is at the bottom of the tank?**

(a) 175 mins

(b) 180 mins

(c) 160 mins

(d)250 mins

(e)Cannot be determined.

**Directions (17-19): Each of the following questions is provided with 2 statements i.e. Statement I & Statement II. You have to read them and find which statement (s) is/are necessary to answer the question as per the instruction set given below.**

**Q17. What is salary of each officer?**

Statement I: Each clerk earns Rs 20000 which is 5% of salary of all officers.

Statement II: There are 40 employees (officer + clerk) in office and average income per employee is Rs 25000.

(a) Only Statement II is necessary

(b) Only Statement I is necessary

(c) Either Statement I or Statement II is sufficient to answer

(d) Both Statement I & Statement II are necessary to answer

(e) Neither Statement I nor Statement II is sufficient to answer

**Q18. In how many days 5 men can finish the work?**

Statement I: 4 women can complete same work in 4 days and a man is 1.5 times efficient than a woman.

Statement II: 4 men & 5 women take 2 days to complete the same work.

(a) Only Statement II is necessary

(b) Only Statement I is necessary

(c) Either Statement I or Statement II is sufficient to answer

(d) Both Statement I & Statement II are necessary to answer

(e) Neither Statement I nor Statement II is sufficient to answer

**Q19. What is rate of interest?**

Statement I: A sum becomes Rs 4000 in 2 years when invested at simple interest.

Statement II: Rs 4000 is invested at compound interest for 2 years and interest obtained is Rs 840.

(a) Only Statement II is necessary

(b) Only Statement I is necessary

(c) Either Statement I or Statement II is sufficient to answer

(d) Both Statement I & Statement II are necessary to answer

(e) Neither Statement I nor Statement II is sufficient to answer

**Q20. ‘A’ alone can do ⅔rd of a work in 16 days while ‘B’ alone can do ¾ th of the work in 18 days. Find the time taken by both to finish the same work.**

(a) 15 days

(b) 12 days

(c) 16 days

(d) 8 days

(e) None of these

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