Quant Quiz

Directions (1-): The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question. Mark answer—
(1) If statement I alone is sufficient but statement II alone is not sufficient.
(2) If statement II alone is sufficient but statement I alone is not sufficient.
(3) If each statement alone (either I or II) is sufficient.
(4) If statement I and II together are not sufficient.
(5) If both statement together are sufficient, but neither statement alone is sufficient.


1. What is the teacher's age?
(I) The average are of 10 students and their teacher is 25 years.
(II) The teacher's age is 10 years more than the age of the oldest student.

2. How many marks did Akshay get?
(I) The marks got by Akshay is equal to average marks of Namita and Mona.
(II) Namita got 80 marks which is 60% more than the marks get by Mona.

3. What amount of profit did Sheetal make by selling a watch?
(I) She sold it at 20 percent profit on the labelled price.
(II) She bought the watch at 50 percent -discount on labelled price.

4. What is the rate of simple interest per annum?
(I) The sum tripples in 20 years at simple interest.
(II) The difference between sum and simple interest in 10 years is Rs. 1000

5. 3 boys and 1 girl completed a piece of work in 4 days. In how many days will 2 girls and 2 boys complete the same work?
(I) 5 girls completed the same works in 4 days.
(II) 2 boys and 1 girl completed the same work in 5 days.

Directions (6-10): Study the following information carefully and answer the given questions.
In a conference total 240 students are there. Out of them 25% konw Latin, 50% know French and 62.5% know English. 10 students know ail three languages. 25/3 % of students know Latin and French but does not know English and the same number of students know Latin and English but does not know French.

6. How man students are there who know both English and French but do not know Latin?
(1) 10
(2) 20
(3) 30
(4) 40
(5) 50

7. How many students are there who know only French?
(1) 60
(2) 90
(3) 120
(4) 80
(5) 75

8. How many students are there who know exactly one language?
(1) 240
(2) 220
(3) 200
(4) 180
(5) 160

9. How many students are there who know exactly two languages?
(1) 60
(2) 70
(3) 80
(4) 90
(5) 120

10. How many students know at most two language?
(1) 60
(2) 70
(3) 220
(4) 230
(5) 240

11. In a lottery, there are 5 prizes and 10 blanks in tickets. A ticket is drawn at random. What is the probability of getting a prize?
(1) 1/7
(2) 2/7
(3) 1/3
(4) 2/3
(5) None of these

12. In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that one girls and two boys are selected is
(1) 4/25
(2) 25/117
(3) 1/50
(4) 21/46
(5) None of these



ANSWERS
Solutions (1-5)

1. 4; Data inadequate

2. 5;
State (I) from.
Akshay =  (Namita + Mona)/2
Statement (I) from.
Namita = Mona × 160/100
80 = Mona × 60/100
Mona = 50
Akshay = (80 + 50)/2 = 65

3. 4; Data inadequate

4. 1;
Statement (I) from
2 = (1 * r * 20)/100
r = 10%
Statement I alone is sufficient but statement II is not

5. 3;
From (I)
Time taken by 1 girls to complete the work = 5 × 4 = 20 days
       = 20 days
Time taken by 2 girls to complete the work = 20/2 days
       = 10 days
Time taken by 2 boys to complete the work = 1/4 - 1/20 = 5 days
       = 5 days
From (II)
We can find the ratio of numbers of boys and girls. So either of the statement is necessary.

Solutions (6 - 12):

6. (3)
Let both French and Latin students is x in a class
10 + 20 + 10 + 10 + 90 – x + 30 + 120 – x = 240
x = 30

7. 1

8. 5

9. 2

10. 4

11. 3;
n(S) = 5 + 10 = 15
n(E) = 5
P(E) = n(E)/n(S) = 5/15 = 1/3

12. 4;
n(S) = 25C3 = (25 * 24 * 23)/ (3 * 2 * 1)  = 2300
n(E) = 10C1 = 15C2 = 10 × [ (15 * 14)/ 2]
= 10 × 105 = 1050

P(E) = n(E)/n(S) = 1050/2300  = 21/46