Quantitative Aptitude

Quant Quiz

1.A certain sum is invested for certain time. It amounts to Rs. 35 at 10% per annum. But when invested at 8% per annum, it amounts to Rs. 30. Find the time?

1) 16 years

2) 20 years

3) 25 years

4) 30 years

5) 40 years

2.What sum of money at compound interest will amount to Rs.12,945.93 in  3 years, if the rate of interest is 7% for first year, 9% for second year and 11%  for third year?

1) Rs. 8750

2) Rs. 9800

3) Rs. 10000

4) RS. 10500

5) Rs. 11500

3. Ravi completes a work in 36 days. Vijay completes the same work in 24 days. Ravi starts working alone and after 6 days Vijay joins him. How many days they will take together to complete the remaining work?

1) 10 days

2) 12 days

3) 14 days

4) 8  days

5) 15 days

4. A man completes his journey in 8 hours. He goes to some destination and comes back. While going he drives at a seed of 25 kmph and  while coming he drives at a speed of 15 kmph. What is the total distance he travels.

1) 60 km

2) 75 km

3) 150 km

4) 96 km

5) 120 km

5. Two places P and Q are 150 km apart. A train leaves P for Q at the same time another train leaves Q for P. Both the trains meet 5 hours after they start moving. If the train travelling from P to Q travels 10 kmph faster than the other train, what is the speed of faster train?

1) 25 kmph

2) 20 kmph

3) 15 kmph

4) 30 kmph

5) 10 kmph

Directions (Q.6-10): in each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer

1) if x<y

2) if x>y

3) if x£y

4) if x³y

5) if x=y, or relationship between x and y can’t be established.

6. I. 6x^2-49x+99=0   II. 5y^2+17y+14=0

7. I. 5x^2=19x-12         II. 5y^2+11y=12

8. I. x^2=(1331)^1/3   II. 2y^2-21y+55=0

9. I. 5x=7y+21         II. 11x+4y+109=0

10. I. 2x^2-11x+12=0 II. 2y^2-17y+36=0

 

Answers 

1(3); Time=[(35-30)/(30×10-35×8)]×100=25

2.(3); A=P(1+r1/100)(1+r2/100)(1+r3/100)

12945.93=P(1+7/100)(1+9/100)(1+11/100)

P=10000

3(2);  2 R 36

72

3 V 24

Work done in 6 days=6x2=12

Remaining time=10/(3+1)=12 days

4.(3);

Let distance be x

x/25+x/15=8

x=75

Total distance=75x2=150

5(2);

Let the speed of train be U & V

U+V=150/5=30……………(i)

U=V+10 …………(ii)

From Eq. (i) & (ii)

U=20, V=10

6.(2);

x=11/3, 9/2

Y=-2, -7/5

7(4);

x=3, 4/5

Y=4/5, -3

8.(1);

x=+-3.13

Y=5, 11/2

9.(2);

x=-7

Y=-8

10.(3);

x=3/2, 4

Y=4, 9/2