**Q1. Twenty-four men can complete a work in sixteen days. Thirty-two women can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve days. How many more men are to be added to complete the remaining work in 2 days?**

(a) 16

(b) 24

(c) 36

(d) 48

(e) None of these

**Q2. 12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in 3 days?**

(a) 15

(b) 18

(c) 22

(d) Data inadequate

(e) None of these

**Q3. Seven men can complete a work in 12 days. They started the work and after 5 days, two men left. In how many days will the work be completed by the remaining men?**

(a) 5

(b) 6

(c) 7

(d) 8

(e) None of these

**Q4. Twenty women can do a work in sixteen days. Sixteen men can complete the same work in 15 days. What is the ratio between the capacity of a man and a woman?**

(a) 3 : 4

(b) 4 : 3

(c) 5 : 3

(d) Data inadequate

(e) None of these

**Q5. A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was:**

(a) 6

(b) 8

(c) 9

(d) 12

(e) None of these

**Directions (6-10): Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.**

*(a) If statements I is sufficient to answer the question, but statement II by itself is not sufficient to answer the question.*

*(b) If statement II by itself is sufficient to answer the question, but statement I alone is not sufficient to answer the question.*

*(c) If statement either I or II is sufficient to answer the question.*

*(d) If both the statements I and II taken together are not sufficient to answer the question.*

*(e) If both the statements I and II taken together are sufficient to answer the question.***Q6. A number is divisible by 3. Find the number.**

I. Square of the number is divided by 9.

II. 40% of the number is 2/5 th of that number.

**Q7. What is the ratio of investment of Ram, Shyam, and Mahesh?**

I. Total investment is Rs.6000 in which Ram’s contributions Rs. 3000

II. Ratio of investment of Ram to Shyam is 3:2 and that of Shyam to Mahesh is 2:1.

**Q8. Area of a rectangle is equal to the area of a right angled triangle. What is length of the rectangle?**

I. The base of the triangle is 80 cms.

II. The height of the triangle is 90 cms..

**Q9. What is the speed of the boat in still water?**

I. It takes 7 hour to cover distance between A and B downstream.

II. It takes 14 hour to cover distance between A and B upstream.

**Q10. What percent of families in the U.P have an annual expense of over 1,50,000 and own a Bungalow? The number of families is 1,50,000**.

I. 28% of the families in U.P have an expenses of 1,50,000.

II. 40% of the families in U.P have an annual expense over 1,50,000 and own a Bungalow.

**Q11. The ratio of ducks and frogs in a pond is 37: 39 respectively. The average number of ducks and frogs in the pond is 152. What is the number of frogs in the pond?**

(a) 148

(b) 152

(c) 156

(d) 144

(e) 143

**Q12. P and Q are two taps which can fill a tank individually in 5 minutes and 10 minutes respectively. However, there is a leakage at the bottom which can empty a filled tank in 15 minutes. If the tank is empty initially, how much time will both the taps take to fill the tank (leakage is still there)?**

(a) 4(2/7) min

(b) 3(5/7) min

(c) 5 min

(d) 2 min

(e) None of these

**Q13. What approximate amount of compound interest can be obtained on an amount of Rs. 1950 at the rate of 6% p.a. at the end of 3 years?**

(a) Rs. 347.4

(b) Rs. 384

(c) Rs. 344

(d) Rs. 372.5

(e) Rs. 368.5

**Q14. If the fractions 7/4, 8/5, 8/3, 4/3, 3/4 are arranged in descending order of their values, which one will be fourth?**

(a) 7/4

(b) 3/4

(c) 8/5

(d) 4/3

(e) 8/3

**Q15. Ravan scored 456 marks in an exam and Amitabh got 54 per cent marks in the same exam which is 24 marks less than Ravan. If the minimum passing marks in the exam is 34 percent, then how much more marks did Ravan scored than the minimum passing marks?**

(a) 184

(b) 196

(c) 190

(d) 180

(e) 185

**ANSWERS**

**S1. Ans.(b)**

**Sol. 1 man’s 1 day’s work = 1/(16*24)**

**1 woman’s 1 day’s work = 1/ (32*24)**

**Work done in 12 days = 12*16*(1/384+1/768)=3/4**

**Remaining work = 1 – ¾ = ¼**

**(16 men + 16 women)’s 2 days’ work = 2*16*(1/384+1/768)=1/8**

**Remaining work = ¼ - 1/8 = 1/8**

**work is done in 1 day by 1 man = 1/384**

**work will be done in 2 days by 384/(8*2)=24 men.**

**S2. Ans.(a)**

**Sol. 1 man’s 1 day’s work = 1/48**

**1 woman’s 1 day’s work = 1/60**

**6 men’s 2 days’ work Remaining work = (6*2)/48=1/4**

**Remaining work = 1- ¼ = ¾**

**So, work will be done in 3 days by x women.**

**=> 3/4=(3*x)/60**

**x = 15**

**S3. Ans.(e)**

**Sol. 1 man’s 1 day’s work = 1/84**

**So, 7*(5/84)+5*(x/84)=1**

**35 + 5x = 84**

**x = 9.8 = 10 days**

**S4. Ans.(b)**

**Sol. Capacity of a man = 1/(16*15)**

**Capacity of a woman = 1/(20*16)**

**So, required ratio = (20*16) : (16*15) = 4 : 3**

**S5. Ans.(c)**

**Sol. (A+B)’s 1 day’s work = 1/45+1/40=17/360**

**Work done by B in 23 days = 23 * 1/40 = 23/40**

**Remaining work = 1 – 23/40 = 17/40**

**Now, Remaining work was done by A and B in 17/40*360/17=9 days.**

**A left after 9 days.**

**S6. Ans.(d)**

**Sol. From the first statement If any number is divisible by 3, its square is always divisible by 9. So we cannot find the number from the given statement.**

**From second statement 40% of the number is 2/5th of that number. So the question cannot be answered even after using both statements together.**

**S7. Ans.(b)**

**Sol. From statement first we can’t find the answer as shayam and Mahesh investment are not given. From second statement their ratio are= 3 : 2 : 1**

**So second statement is sufficient to given the answer.**

**S8. Ans.(d)**

**Sol. Area of rectangle =area of right triangle**

**= (1/2)*base*height =(1/2)*80*90 = 3600**

**Area of rectangle =3600**

**So we can’t find the length by neither alone statement nor together.**

**S9. Ans.(d)**

**Sol. In both the statement there is nothing mention about distance so we can’t find the answer.**

**S10. Ans.(b)**

**Sol. From the second statement clearly we can find out the number of families which have exp and bungalow. (150000*40)/100=60000**

**S11. Ans.(c)**

**Sol. Let number of ducks = 37x**

**And number of frogs = 39x**

**Average = 38x = 152**

**x = 4.**

**Hence number of frogs = 39x = 156**

**S12. Ans.(a)**

**Sol. Let the capacity of the tank is 30 litres.**

**P can fill 6 litres in one min.**

**Q can fill 3 litres in one min.**

**C can empty 2 litre in one min**

**Together both the pipes and leakage will fill 7 litres in one min.**

**Hence time to fill the tank = 30/7 mins**

**S13. Ans.(d)**

**Sol. P = 1950,**

**R = 6%,**

**N = 3 years**

**CI = 1950(1+6/100)^3**

**= 1950 * 1.06 * 1.06 * 1.06 = 2322.48**

**Total interest = 2322.48 – 1950 = 372.5 (approx)**

**S14. Ans.(d)**

**Sol. The fraction in descending order are 8/3, 7/4, 8/5, 4/3, 3/4.**

**S15. Ans.(a)**

**Sol. Let the maximum marks in the examination be x**

**Now, 54% of x = 456 – 24 = 432**

**x = (432*100)/54=800**

**Minimum passing marks = 34% of 800 = 272**

**Required Difference = 456 – 272 = 184**