Question 1
Current Ages Ratio 9: 4
After 5 Years Ratio 10:5 ( this is as good as 2:1)
Now both the ages are increased by 5 years and from my ratios I can see it as 1.
So 1 part corresponds to 5 and at this rate the current age of the father which is 9 parts will be 45.

Question 2
Assume CP is 100.
=> SP is 115 (Since sold at 15% profit)
Now, if the same article is bought for 15% less, CP = 85 & SP = 102 (Since a gain of 20% is made)
Now for a CP of 100, the SPs differ by 115 – 102 = 13.
Since, in the question the SPs differed by 78, the CP must be (78/13) x 100 = 600

Question 3
In 1 hr, that part of the tank that will be filled is (1/2 – 1/3) = 1/6. Hence, the entire tank will be filled in 6 hrs

Question 4
Total Outcomes : 6^3, Fav Outcomes: 6. Hence, probability = 6/6^3 = 1/36

Question 5
SI @ 7% for 2 years = 14%
CI @ 7% for 2 years = 14.49%
Difference is 0.49% and is given as 7.35
Principal amount which is always 100% is (100/0.49) x 7.35 = 1500

Question 6
18 Children take 12 days => Work requires 18 x 12 Child Days.
Now the same number of Child Days can be contributed by 8 Children in (18 x 12)/8 = 27 days

Question 7
Each Student got 20%(65) = 13 Sweets
Each Teacher got 40%(65) = 26 Sweets
Total Sweets Required = 65 x 13 + 4 x 26 = 949
(Notice that you can choose your answer by calculating only the unit’s digit, of course, options are allowing that here)

Question 8
125% is given as Rs.20 and the question is asking for 15% (increase only)
Hence (15/125) x 20 = 2.4

Question 9
Downstream Speed = 13 & Upstream Speed = 7
Speeds Ratio is 13:7
=> Times Ratio is 7:13
From the ratio, the times differ by 6 parts and this is given as 12 hrs.
So time taken to go Downstream which is 7 parts will be 14 hrs.
Finally Distance = Downstream Speed x Time = 13 x 14 = 182 (Again you can use the unit’s digit shortcut to choose answer)

Question 10
Total Cards = 52
Queen Club = 1 & King Heart = 1 => Fav Cards = 2
Probability = 2/52 = 1/26

Thanks for providing valuable info

10

9

Question 1

Current Ages Ratio 9: 4

After 5 Years Ratio 10:5 ( this is as good as 2:1)

Now both the ages are increased by 5 years and from my ratios I can see it as 1.

So 1 part corresponds to 5 and at this rate the current age of the father which is 9 parts will be 45.

Question 2

Assume CP is 100.

=> SP is 115 (Since sold at 15% profit)

Now, if the same article is bought for 15% less, CP = 85 & SP = 102 (Since a gain of 20% is made)

Now for a CP of 100, the SPs differ by 115 – 102 = 13.

Since, in the question the SPs differed by 78, the CP must be (78/13) x 100 = 600

Question 3

In 1 hr, that part of the tank that will be filled is (1/2 – 1/3) = 1/6. Hence, the entire tank will be filled in 6 hrs

Question 4

Total Outcomes : 6^3, Fav Outcomes: 6. Hence, probability = 6/6^3 = 1/36

Question 5

SI @ 7% for 2 years = 14%

CI @ 7% for 2 years = 14.49%

Difference is 0.49% and is given as 7.35

Principal amount which is always 100% is (100/0.49) x 7.35 = 1500

Question 6

18 Children take 12 days => Work requires 18 x 12 Child Days.

Now the same number of Child Days can be contributed by 8 Children in (18 x 12)/8 = 27 days

Question 7

Each Student got 20%(65) = 13 Sweets

Each Teacher got 40%(65) = 26 Sweets

Total Sweets Required = 65 x 13 + 4 x 26 = 949

(Notice that you can choose your answer by calculating only the unit’s digit, of course, options are allowing that here)

Question 8

125% is given as Rs.20 and the question is asking for 15% (increase only)

Hence (15/125) x 20 = 2.4

Question 9

Downstream Speed = 13 & Upstream Speed = 7

Speeds Ratio is 13:7

=> Times Ratio is 7:13

From the ratio, the times differ by 6 parts and this is given as 12 hrs.

So time taken to go Downstream which is 7 parts will be 14 hrs.

Finally Distance = Downstream Speed x Time = 13 x 14 = 182 (Again you can use the unit’s digit shortcut to choose answer)

Question 10

Total Cards = 52

Queen Club = 1 & King Heart = 1 => Fav Cards = 2

Probability = 2/52 = 1/26

score – 7