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Question 1 of 5
1. Question
If the cost price of 16 pens is equal to the selling price of 12 pens, what is the profit in percentage?
Correct
Solution: B
It can be clearly seen from the given data that selling 12 pens equals to cost price of 16 pens.
Therefore, selling 3 pens = cost price of 4 pens.
So, profit in percentage = [(43)/3] * 100 = 33.33 %
Hence, option (b) is correct.
Incorrect
Solution: B
It can be clearly seen from the given data that selling 12 pens equals to cost price of 16 pens.
Therefore, selling 3 pens = cost price of 4 pens.
So, profit in percentage = [(43)/3] * 100 = 33.33 %
Hence, option (b) is correct.

Question 2 of 5
2. Question
Amit and his grandfather differ in their ages by 50 years. If the sum of their ages is 152 after 6 years from now, then what are their present ages (in years)?
Correct
Solution: C
It is given that Amit and his grandfather differ in their ages by 50 years.
Let the age of Amit be x.
Then, age of Amit’s grandfather = x + 50.
After 6 years from now, age of Amit will be x+6 years.
After 6 years from now, age of Amit’s grandfather will be (x+50) + 6 years.
Also, it is given that, the sum of their ages is 152 after 6 years from now.
So, substituting the values, we get x+6 + (x+50) +6 = 152.
 2x+62 =152
 2x= 90
 x=45.
Therefore, Amit’s present age = 45 years.
Present age of Amit’s grandfather = 95 years
Hence, option (c) is correct.
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Incorrect
Solution: C
It is given that Amit and his grandfather differ in their ages by 50 years.
Let the age of Amit be x.
Then, age of Amit’s grandfather = x + 50.
After 6 years from now, age of Amit will be x+6 years.
After 6 years from now, age of Amit’s grandfather will be (x+50) + 6 years.
Also, it is given that, the sum of their ages is 152 after 6 years from now.
So, substituting the values, we get x+6 + (x+50) +6 = 152.
 2x+62 =152
 2x= 90
 x=45.
Therefore, Amit’s present age = 45 years.
Present age of Amit’s grandfather = 95 years
Hence, option (c) is correct.

Question 3 of 5
3. Question
A team of 11 is to be selected from 7 batsmen and 6 bowlers available. The team must have at least 5 bowlers. In how many ways can it be done?
Correct
Solution: D
As the team must have at least 5 bowlers, two cases are possible:
Case I: Team has 5 bowlers out of 6 bowlers and 6 batsmen out of 7 batsmen. Number of ways of choosing such a team = Number of ways of choosing 5 bowlers out of 6 and 6 batsmen out of 7 = 6C5 * 7C6 = 6 * 7 = 42.
OR
Case II: Team has 6 bowlers out of 6 bowlers and 5 batsmen out of 7 batsmen. Number of ways of choosing such a team = Number of ways of choosing 6 bowlers out of 6 and 5 batsmen out of 7 = 6C6 * 7C5 = 1 * 21 = 21.
Hence, total ways possible = 42 + 21 = 63.Hence, option (d) is correct.
Incorrect
Solution: D
As the team must have at least 5 bowlers, two cases are possible:
Case I: Team has 5 bowlers out of 6 bowlers and 6 batsmen out of 7 batsmen. Number of ways of choosing such a team = Number of ways of choosing 5 bowlers out of 6 and 6 batsmen out of 7 = 6C5 * 7C6 = 6 * 7 = 42.
OR
Case II: Team has 6 bowlers out of 6 bowlers and 5 batsmen out of 7 batsmen. Number of ways of choosing such a team = Number of ways of choosing 6 bowlers out of 6 and 5 batsmen out of 7 = 6C6 * 7C5 = 1 * 21 = 21.
Hence, total ways possible = 42 + 21 = 63.Hence, option (d) is correct.

Question 4 of 5
4. Question
In a group of 1500 people, 700 can speak Hindi, 500 can speak English and 150 can speak both. Find the number of people who can speak at most one language?
Correct
Solution: C
The number of people who can speak at most one language = Total number of people – Number of people who can speak both the languages
è 1500 – 150 = 1350Hence, option (c) is correct.
Incorrect
Solution: C
The number of people who can speak at most one language = Total number of people – Number of people who can speak both the languages
è 1500 – 150 = 1350Hence, option (c) is correct.

Question 5 of 5
5. Question
The monthly income of Ramesh and Suresh are in the ratio 4:3 and the ratio of their expenditure is 3:2. If each of them saves Rs. 6000 then by what percentage is Ramesh income more than that of Suresh income?
Correct
Solution: B
Let the income of Ramesh and Suresh be 4x and 3x respectively
And the Expenses of Ramesh and Suresh are 3y and 2y respectively.
As it is given that each of them saves Rs. 6000 monthly.Therefore,
Savings of Ramesh = 4x – 3y = 6000 ……(Eq 1)
Saving of Suresh = 3x 2y = 6000 …….(Eq 2)
Subtracting (2) from (1) gives
x –y = 0, i.e. x = y …………….(Eq 3)
Using (Eq 3) in (Eq 1) we get, x = 6000.
So, Ramesh’s Income = 4x = 24000
Suresh’s income = 3x =18000
Net difference = 24000 – 18000 = 6000
Required percentage = 6000/18000 × 100% = 33.33%
Hence, option (b) is the correctIncorrect
Solution: B
Let the income of Ramesh and Suresh be 4x and 3x respectively
And the Expenses of Ramesh and Suresh are 3y and 2y respectively.
As it is given that each of them saves Rs. 6000 monthly.Therefore,
Savings of Ramesh = 4x – 3y = 6000 ……(Eq 1)
Saving of Suresh = 3x 2y = 6000 …….(Eq 2)
Subtracting (2) from (1) gives
x –y = 0, i.e. x = y …………….(Eq 3)
Using (Eq 3) in (Eq 1) we get, x = 6000.
So, Ramesh’s Income = 4x = 24000
Suresh’s income = 3x =18000
Net difference = 24000 – 18000 = 6000
Required percentage = 6000/18000 × 100% = 33.33%
Hence, option (b) is the correct