Quant Quiz

1. 4 men and 6 women together or 8 men can complete any work in 40 days .In how many days 6 men and 6 women together will complete the work.
a. 32 days
b. 36 days
c. 24 days
d. 56 days
e. None of these

2. In how many ways can a committee of 5 persons be formed from 6 gentlemen and 4 women so that there is at least one women in the committee.
a. 248
b. 236
c. 246
d. 256
e. 254

3. The simple interest accrued on an amount of Rs. 21,500 at the end of four years is Rs. 10,320 what would be the compound interest accrued on the same amount at the same amount at the same rate at the end of two years?
a. Rs. 5470
b. Rs. 5250
c. Rs. 5640
d. Rs. 5300
e. None of these

4. Suhana beats Rachna by 30 metre or 10 second. How much time was taken by Suhana to complete a race of 1200 meters?
a. 6 min 40 secs
b. 3 min 20 secs
c. 12 min 10 secs
d. 2 min 5 secs
e. None of these

5. By selling a adaptor for 300 instead of 400 loss percent is increased by 10%. Find the Cost Price?
a. 1200 Rs
b. 1000 Rs
c. 2400 Rs
d. 600 Rs
e. None of these

6. Two planes for Chennai leave dehradun at 6 am and 6:45 am and travel at 100 kmph and 136 kmph respectively. Approx. how many km from Dehradun will the two planes be together?
a. 208 km
b. 283 km
c. 324 km
d. 378 km
e. None of these

7. Ram, Shyam and Mohan are partners in a business such that ram’s capital is equal to that of Shyam and Mohan together. Shyam invest 3/8 of the total capital for 1/4th of time. Ram invest for 1/3rd of the time and Mohan invest for the whole time. What is the ratio of their profits?
a. 1:1:1
b. 9:12:16
c. 12:9:16
d. 16:9:12
e. None of these

8. Two alloys A and B contain gold and silver in the ratio 1:2 and 3:4 respectively. A third alloy C is formed by mixing A and B in the ratio 5:6. Find the approx. percentage of silver in the alloy C.
a. 60.0%
b. 63.0%
c. 61.5%
d. 64.5%
e. None of these

9. 105, 116, 149, 164, ?
a. 204
b. 203
c. 201
d. 205
e. None of these

10. 139, 130, 149, 120, ?
a. 157
b. 159
c. 161
d. 153
e. None of these






Solutions:
Q1 – 32 days Solution : 4 men + 6 women = 8 men 
6 women = 4 men 
So 6 men + 6 women = 6 men + 4 men ⇒ 10 men 
M1D1 = M2D2 
8*40 = 10*D2 D2 = 32 days

Q2 – 246Solution : Number of ways when at least one woman is selected = Number of selection without restriction-Number of selection of all five men. 
= 10C5 – 6C5 = 252 – 6 = 246

Q3 – Rs. 5470

Q4 – 6 in 30 secsSolution : Rachna covers 30 m in 10 secs ⇒ her speed = 3 mps ⇒ she will cover 1200 m in 400 secs 
Suhana will cover 1200 m in 400-10 = 390 secs = 6 min 30 secs

Q5 – Rs. 1000Solution :  Let CP be X Rs. 
⇒ [X – 300]*100/X = [X – 400]*100/X + 10 ⇒ 10X = 40000 – 30000 ⇒ X = Rs. 1000

Q6 – 283 kmSolution : In 45 min, 1st plane will cover = 100*[45/60] = 75 km distance. Relative speed of planes = 136-100 = 36 kmph. 2nd plane will catch up the 1st plane in = 75/36 = 25/12 hours. Distance from Dehradun = [25/12]*136 = 283 km approx.

Q7 – 16:9:12Solution : Let total capital be 8X ⇒ Ram’s investment = Shyam+Mohan’s investment = 4X and B’s investment = 3X ⇒ Mohan’s investment = X Rs respectively. 
Let they invested for a year. ⇒ Ram invested for 1/3rd = 4 months; Shyam invested for 1/4th = 3 months; Mohan invested for whole 12 months. 
Their investment ratio bases = A:B:C = [4X*4] : [3X*3] : [X*12] Ratio of their profits = 16:9:12

Q8 – 61.5%Solution : 5:6 means in 11 kg, Alloy A should be 5 kg and Alloy B should be 6 kg. 
Now, in 5 kg Alloy A, Silver will be = [2/3]*5 = 10/3 kg 
And in 6 kg Alloy B, Silver will be = [4/7]*6 = 24/7 kg 
Total Silver in 11 kg = 10/3 + 24/7 = 142/21 kg Percentage of Silver = [142/21]*100/11 = 61.5% approx.

Q9 – 201Trick : This series is based upon: 
10^2+5, 11^2-5, 12^2+5, 13^2-5, 14^2+5 So answer is 201

Q10 – 159Trick : This series is based upon: 
-9, +19, -29, +39. So answers is 159