Q2) A can complete a piece of work in 30 days. B is 25% more than A. They started work together and after sometime B left the work. Remaining 1/4 work is finished by A alone. Find the number of days they work together?
A) 30 days
B) 20 days
C) 10 days
D) 15 days
E) None of these

Q3) Distance of 400 km is to be covered by car and bus. If the first 100 km covered by car and the rest by bus, it takes 6 hours in all. If car is used for 150 km more, it takes 60 minutes less for the entire journey. How much is speed of car more than speed of bus?

A 40km/h
B 60km/h
C 80km/h
D 100km/h
E 50km/h

car bus
100 300 6hr
250 150 5hr

100/100 + 300/60 6hr
250/100 + 150/60 5

Car == 100km/hr
Bus == 60 km/hr

Q4) A bucket contains a mixture of two liquids P and Q in the ratio 4 : 1. When 10 litres of the mixture is taken out and 10 litres of liquid Q is poured into the bucket, the ratio becomes 2 : 3. How many litres of liquid P was contained in the bucket?


14 litres
18 litres
20 litres
16 litres
24 litres

4 : 1
2 : 3 -----×2 = 4 : 6

5 = 10
10 = 20

20×4/5 = 16

Q5) A, B, and C have amounts in the ratio of 3 : 4 : 5. First B gives 1/4 th to A and 1/4 th to C then C gives 1/6 th to A. Find the final ratio of amount of A, B and C, respectively:

4 : 3 : 5
5 : 4 : 3
3 : 4 : 2
5 : 2 : 5
none of these

300 : 400 : 500

300+100 : 200 : 500+100

400+100 : 200 : 500
5 : 2 : 5

Q6) The sum of the ages of Jayant, Prem and Paras is 93 years. Ten years ago, the ratio of their ages was 2 : 3 : 4. What is the present age of Paras ?

24 years
28 years
32 years
34 years
38 years

Directions (1-2): Read the following information to answer the questions.

There are 9 red, 7 white and 4 black balls in an urn.

Q1. Two balls are drawn at random from the urn. What will be the probability that
both the balls are red?
(a) 18/95
(b) 9/95
(c) 9/10
(d) 8/95
(e) 5/19

Q2. If two balls are selected at random, what is the probability that one ball is white
and the other ball is red?
(a) 91/190
(b) 63/190
(c) 5/19
(d) 4/95
(e) 71/190

Q3. A bag contains 7 blue balls and 5 yellow balls. If two balls are selected at random,
what is the probability that none is yellow?
(a) 5/33
(b) 5/22
(c) 7/22
(d) 7/33

Direction (1-3) - There is three bags A, B and C. In each bag there are three types of colored balls Yellow, Green and Black.

In bag A, no. of yellow colored balls are y and no. of green colored balls are g. Number of
green colored balls are 4 more than the number of yellow colored balls. When one ball is
picked at random then the probability of getting black color ball is 5/13. The value of y is 18 (2/11)% less then g.

In bag B, number of yellow colored balls is 200/9% more than that of bag A. If two balls are picked at random from bag B then the probability of getting both green color ball is
4/37. Total number of balls in bag B is 75.

In bag C, the ratio of number of green colored balls and number of black colored balls is 7
: 5. Total number of green and black colored balls is 36. If one ball is picked at random then
the probability of getting one yellow ball is 7/13.


Q1. If x number of yellow balls from bag B are taken and placed into bag A and 20%
of black balls from bag A are taken and placed into in bag B. If we pick one ball from
bag B then the probability that the ball is of black color is 11/26. Then find the value
of x?
(a) 5
(b) 6
(c) 3
(d) 2
(e) None of these

Q3) COST PRICE OF B IS 150 MORE THAN A. IF A IS SOLD AT 30% PROFIT AND B IS SOLD AT 13% PROFIT. TOTAL PROFIT EARNED BY A AND B IS 20% OF TOTAL COST PRICE. FIND THE COST PRICE OF B?
A) 300
B) 400
C) 500
D) 600
E) NONE OF THESE

Q4) A man invested some amount in scheme X at 20% simple interest. After 2 years he withdrawal all his amount and invested in Scheme Y at 10% per annum Compounded annually. At the end of next 2 years he earned a interest of Rs. 4410 as a interest. Find the sum invested Initially?

A) 10000
B) 12000
C) 15000
D) 20000
E) None of these

Q5) A boat can 19.2 km in 48 mins downstream. If the speed of the current is 20% of the boat in downstream. Find the time taken by boat to cover 40 Km in upstream?
A) 1.5 Hr
B) 2.0 Hr
C) 2.5 Hr
D) 3.0 Hr
E) None of these

A bag contains 4 white and 5 blue balls. Another bag contains 5 white and 7 blue balls. What is the probability of choosing two balls such that one is white and the other is blue?
A) 61/110
B) 59/108
C) 45/134
D) 53/108
E) 57/110