- Ram’s age after six years will be three-seventh of his father’s age. Ten years ago the ratio of their ages was 1:13. What is Ram’s father’s age at present?
36years32 years39 years42 yearsNoneOption A

Solution:

10years before the ratio of their ages 1x:13x

After 6yrs Ram’s age will be 3/7th of his father

1x+16=3/7(13x+16)

7x+112=39x+48

32x=64

X=2

So Ram’s father present age is (13*2)+10=36years. - Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge a chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 4 minutes?
8/216/115/2411/19NoneOption B

Solution:

LCM(30, 20, 10)=60

A…. 30…. 2

B…. 20…. 3 ……. (Total 60unit)

C… 10 …. 6

Quantity filled by pipe C in 4 minutes=4*6=24litre

Quantity filled by pipe A,B,C together in 4 minutes=4*(2+3+6)=44litre

Required proportion=24/44=6/11.

- Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
2
^{9}2^{10}2^{6}Cannot be determinedNoneOption A

Solution:

When a coin is tossed once, there are two outcomes.

When 10 coins are tossed simultaneously, the outcomes= 2^{10}.

Out of these, if the third coin has to turn up a head, then the number of possibilities for the third coin is only 1 as the outcome is fixed as head.

Therefore, the remaining 9 coins can turn up either a head or a tail= 2^{9}.

- The average of runs of a cricket player of 10 innings was 35. How many runes must be made in his next innings so as to increase his average of runs by 5?
86788490NoneOption D

Solution:

Average after 11 innings = 40(35+5)

Required number of runs =(40*11)-(35*10)

=440-350==>90.

- A, B and C completed a work costing Rs. 1800. A work for 6 days, B for 4 days and c for 9 days. If their daily wages are in the ratio of 5:6:4, how much amount will be received by A?
Rs550Rs 600Rs575Rs610NoneOption B

Solution:

Ratio of their daily wages = 5:6:4

Total wage = Rs. 1800

6*5x+4*6x+4*9x = 1800. [As A, B, C works for 6, 4, 9 days respectively] Or, 90x = 1500;

Or, x = 1800/90;

Total amount of A,

= 1800*30/90 = Rs. 600.

- A cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 8 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
10hrs12hrs10mins13hrs20mins15hrsOption C

Solution:

LCM 5 8 =40

5… 8unit (filled in 1hr)

8…. 5unit(emptied in 1 hr)

Since both pipes are opened 8-5=3litre filled in 1hr

Cistern filled in 40/3=13 1/3=13hrs20mins.

- A starts a business with a capital of Rs. 42,000. B joins in the business with Rs.36000 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 2 : 1?
4 month8 month7month5 monthNoneOption C

Solution:

42000*12 : 36000*x=2:1

42000*12/36000*x=2/1

X=7month.

- A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?
19:1313:1918:2525:18NoneOption D

Solution:

Volume of the large cube = (3^{3}+ 4^{3}+ 5^{3}) = 216 cm3.

Let the edge of the large cube be a.

So, a^{3}= 216 ⇒ a = 6 cm.

∴ Required ratio =[(6*3^{2}+4^{2}+5^{2})/(6*6^{2})]=50/36=25:18 .

- A vessel of capacity 2 litre has 25% alcohol and another vessel of capacity 6 litre had 40% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. what is the new concentration of mixture ?
35%29%32%43%NoneOption B

Solution:

Amount of alcohol in first vessel,

= 25% of 2 litre

= 0.25*2 = 0.5 litre

Amount of alcohol in second vessel,

= 40% of 6 litre

= 0.4*6 = 2.4 litre

Total amount of alcohol out of 10 litres of mixture is,

0.5+2.4 = 2.9 litre.

Thus, Concentration of the mixture is,

(2.9*100)/10

= 29%.

- A is as much younger than B and he is older than C. If the sum of the ages of B and C is 45 years, what is the difference between B and A’s age?
4years6years8yearsData InadequateNoneOption D

Solution:

Data Inadequate.

1)

Ram :F

3…….7…………after 6 yrs

1…….13………10 yrs ago

__________________________

3-1 =2

13-7 =

difference not come same.???

This is ratio

For ratio difference cannot be same. Difference will be same in actual ages only.

2) in 2nd question R proportion ask for 4 min not for 3……plsss correct the answer