Quant Quiz

Direction (1-5): Each question below is followed by two statements I and II. You are to determine whethe the data given in the statement is sufficient to answer the question. You should use the data and your knowledge and Mathematics to choose between the possible answers, 

Give answer-
(1) If the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.
(2) If the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.
(3) If both statements I and II together are needed to answer the question.
(4) If either the statement I alone or the statement II alone is sufficient to answer the question.
(5) If you canot get the answer from the statements I and II together, but need evey more data.


1. What is the area of rectangle?
I. Perimeter is 20 meter.
II. Sum of two adjacent sides is 10 meters.

2. How many letters can 12 typists type in one day?
I. A working day consists of 8 hours?
II. 5 typists can type 200 letters in 2 days.

3. If x and y are integers is x + y an even number?
I. 5 < x < 10
II. 6 < y < 9

4. What is the value of P?
I. The average of x, y and P is 10.
II. – x = y

5. If a man wants to cover a square room with a carpet, how much will it cost?
I. If the service charges is Rs. 15 and each square yard cost is Rs. 20.
II. If the room were 1/2 as large in area, it would cost Rs. 150 less.

Directions (6 – 8): Study the following information carefully to answer the following questions:
A basket contains 4 blue, 6 black and 3 red balls.

6. If two balls are drawn at random what is the probability that none of them is red?
(1) 4/13 
(2) 15/39  
(3) 45/78
(4) 40/73
(5) None of these

7. If four balls are drawn at random what is the probability that all are black?
(1) 3/139 
(2) 1/121
(3) 3/141
(4) 3/143
(5) None of these

8. If 3 balls are drawn at random what is the probability that one is blue, one is black & one is red?
(1) 9/143 
(2) 11/141
(3) 36/143
(4) 13/121
(5) None of these

9. What would be the CI accrued on an amount of Rs. 16000 at the rate of 12 p.c.p.a. at the end of three years? (two place of decimal)
(1) Rs. 6386.48
(2) Rs. 6478.84
(3) Rs. 7122.84
(4) Rs. 6724.89
(5) None of these

10. If the numerator of a fraction is increased by 700% and denominator is increased by 500% the resultant fraction is 3 . What is the original fraction.
(1) 17/8 
(2) 13/4  
(3) 12/16 
(4) 21/8 
(5) None of these

ANSWERS
Solutions (1-5)

1. 5;
Using Statement I:
2(L + B) = 20
L + B = 10
Using Statement II:
L + B = 10
So, even by using both the statements together we cannot find the area of the rectangle.

2. 2;
Using Statement II:
In 2 days 5 typists type 200 letters.
In 1 day 5 typists type 100 letters.
In 1 day 1 typist types 20 letters.
In 1 day 12 typists type 240 letters.

3. 5;
Using Statement I:
x = 6, 7, 8, 9
Using Statement II:
y = 7, 8
So, even by using both the statements together we cannot find the answer, as x + y can be odd as well as even.

4. 3;
From statement I:
(x + y + p)/3 = 10
x + y + P = 30
From statement II:
– x = y
x + y = 0
x + y + P = 30

5. 2;
Using II alone
Cost to cover the room with carpet will be 300.

Solutions (6-8)

6. 3;
P = 10C2/13C2 = 90/156 = 45/78

7. 4;
P = 6C4/13C4 = 15/715 = 3/143

8. 3;
P = (4C1 * 6C1 * 3C1)/13C3 = (4*6*3*3*2)/ (13*12*11) = 36/143

9. 2;
C.I. 16000 = 1[(1 + 12/100)^3 - 1]
= 16000 [(1.12)3 – 1] = Rs. 6478.848  6478.84

10. 4;
Let the fraction =  x/y
According to question = (x + (x * 700)/100)/ y + (y * 500)/100 = 7/2
8x/6y = 7/2
x/y = 7/2 * 6/8
x/y = 21/8