__Quantitative Aptitude Practice Questions for IBPS Clerk/RBI Asst. Mains – Set 3__**1. Two neighbours Mrinalini and Harsha decided to play a dice game with each other. They rolled dice one after the other. The probability that the number value of the dice rolled first is smaller than the number value of the second is:**

a) 3/13

b) 7/36

c) ¼

d) 5/12

**2. Subham and Akarsh start a retail chain partnership. Subham invested Rs. 16000 and Akarsh invested Rs. 12000 initially. Due to personal causes, Subham withdrew Rs. 5000. Due to the withdrawal of sums by Subham, Akarsh invested Rs. 5000 more to keep up the costs of business. After three more months, Shaurya joined the partnership with a capital investment of Rs. 21000. The share of Akarsh exceeds the share of Shaurya out of a total profit of Rs. 72900 after one year by:**

a) 41500

b) 12150

c) 76000

d) 57000

e) None of the above

**3. Mr. Thakre left his property in a will of Rs. 35 lakhs between his two sons. The elder son is 16 years old and the younger is 7. 5 years younger than the earlier. The property was divided in such a way that the two sons get equal amounts when they reach 21 years of age each. The original amount of property was instructed to be invested at 10 % p. a Simple interest. Determine how much money the elder son will get at the time of the declaration of the will.**

a) 17. 5 lakhs

b) 21 lakhs

c) 20 lakhs

d) 15 lakhs

e) Cannot be determined

**4. Two retailers Garry and Cisco put up a stall in a trade fair to sell their typewriters. Both of them each typewriter at Rs. 1800 each. The profit percent by both the retailers is same but Garry calculates his profit on selling price and Cisco calculates his profit on cost price which is equal to a profit of 20%. What is the difference in their actual profits?**

a) Rs 300

b) Rs 100

c) Rs 70

d) Rs 400

e) Rs 60

**5. Sonia’s math’s teacher gave her a task to choose one natural number at random from first 100 natural numbers. The probability that x+(100/x)>50 is:**

a) 1/10

b) 11/20

c) 17/32

d) 19/31

e) None

**Directions (6 – 10) : Following line graph shows the number of students passed (in hundred) from six different states in year 2007, 2008 and 2009. The table given below shows the percentage of girls among these passed students.**

**6. What is the average number of girls passed from all six states together in year 2007?**

a) 3312

b) 3322

c) 3332

d) 3342

e) 3352

**7. The number of girls passed from State F in year 2008 is what percentage of the total number of girls passed from State B in year 2007?**

a) 220%

b) 180%

c) 145%

d) 80%

e) 45%

**8. Total number of boys passed from all six states together in year 2009 is what percentage of total students (girls & boys) passed in the exam from all states in that year?**

a) 48.24%

b) 54.772%

c) 57.125%

d) 60.5%

e) 63.385%

**9. What is the difference between total number of boys passed and the total number of girls passed from State D in all three years together?**

a) 266

b) 268

c) 270

d) 272

e) 274

**10. From which of the following states the percentage rise in the number of boys passed from year 2008 to year 2009 is the highest?**

a) A

b) B

c) C

d) F

e) None of these

**11. Abbas micro financial services, a private financing firm in Surat lends an equal sum of money at the same rate of interest to Banshee and Shyam. The money given to Banshee becomes twice of the original amount in just four years at simple interest. While Abbas services lend to Shyam for first two years at compound interest and for the rest two years at simple interest. If the difference between the amount of Banshee and Shyam after 4 years is Rs 2750. What is the amount of money lent to each Banshee and Shyam?**

a) Rs. 40000

b) Rs 4000

c) Rs 75000

d) Rs 8000

e) Rs 89000

**12. Ram was traveling in a boat when the wind blew his cap off and the cap started floating back downstream. The boat continued to travel upstream for 12 more minutes before Ram realized that his cap had fallen off and turned back downstream. He caught up with that as soon as it reached the starting point. Find the speed of river if Ram’s cat flew off exactly 3 km where he arrived.**

a) 5kmph

b) 6kmph

c) 10kmph

d) 7. 5kmph

e) Cannot be determined

**13. Gopal, Bheem, and Krishna are three miners employed by a mining contractor. They mine a complete coal field in 10 days. Initially, all of them worked together but the last 60% of the work was completed by only Bheem and Krishna together. Gopal worked with Bheem and Krishna only for initial 2 days then he left the work due to poor health. Also, Bheem takes 20% less time to finish the work alone than that of Krishna working alone. If they were paid Rs 3000 for the entire mining of the coal field, then what is the share of the least efficient miner?**

a) Rs 900

b) Rs 1200

c) Rs 1000

d) Rs 5000

e) None of these

**14. Madhu and Madan have a rectangular field of area 20000 sq. m. They decided to divide it into two equal parts by dividing it with a straight line. Madhu wanted to fence their land immediately, so they incurred total expenses for the fencing all the four sides alone at Rs. 2 per meter. What is the minimum cost that Madhu had to incur?**

a) Rs. 800

b) Rs. 1600

c) Rs. 2000

d) Rs. 6500

e) Rs. 600

**15. Birla and Ratan bought two rectangular fields of the same area in the countryside. The length of the rectangular field bought by Birla is x% less than the length of the field bought by Ratan and breadth of the first field is 5x % greater than the breadth of the second field. What is the value of x?**

a) 80

b) 25

c) 15

d) 50

e) 45

**Solutions:**

**1. D)**The number value of the dice rolled first is smaller than the number value of the second means the following cases:

Dice1
Dice2

1
no value lesser than one

2
1

3
1,2

4
1,2,3

5
1,2,3,4

6
1,2,3,4,5

Hence 15 such possible
cases exist.

Probability=possible
cases/total sample space

=15/36=5/12 (ans)

**2. E)**

Difference of shares of
Akarsh and Shaurya=9-6=3

Hence difference of their
profits= 3/22 x 72900= Rs. 40500 (Ans)

**3. B)**Solve by options

In option b, let elder
son get 21 lakhs, then younger gets 14 lakhs

According to the
question,

After when both sons
attain the age of 21 years, they both will get the same amount of money.

Hence for the elder son,
the money gets invested for 5 years and for younger son the money is invested
for 12.5 years at 10 % S.I.

Hence at 21 years the
elder son will get=

21+(50/100)x21=31.5 Lakhs

At 21 years, the younger
son will get=

14+(125/100)x14=31.5
Lakhs

Hence the condition is
satisfied.

Option B=21 lakhs is the
answer

**4. E)**Profit of Garry ( on selling price) = 20/100 x 1800= Rs 360

Given for
Cisco=> 120% of CP=1800

Dividing both sides by 6
we get,

20% of CP=300

Hence Profit=300

Profit Garry-Profit
Cisco=360-300= Rs 60 (Ans)

**5. B)**Total sample space=100

Given condition:
x+(100/x)>50

On solving ,
x2+100-50x>0

We get
2.(something)>x>47.(something)

Hence x has 55 satisfied
values

Probability= 55/100=11/20
(ans)

**6. C)**Total Girls passed from all six states in 2007 = 5500 × 47/100 + 5000 × 36/100 + 7000 × 52/100 + 7800 × 57/100 + 8400 × 44/100 + 8500 × 45/100

= 2585 + 1800 + 3640 +
4446 + 3696 + 3825 = 19992

Average = 19992/6 = 3332

**7. A)**Girls passed from State F in year 2008 = 7200 × 55/100 = 3960

Girls passed from State B
in year 2007 = 5000 × 36/100 = 1800

Reqd % = 3960/1800 × 100
= 220%

**8. B)**Total boys passed in six states together in 2009 = 27386

Total Bous and Girls =
50000

Reqd % = 27386/50000 ×
100 = 54.772

**9. D)**Total number of Girls passed in 2007, 2008 & 2008 = 7800 ×57/100 + 8000 ×51/100 + 7000 ×43/100

Total girls = 4446 + 4080
+ 3010 = 11536

No. of boys = (7800 +
8000 + 7000) – 11536 = 22800 – 11536 = 11264

Diff = 11536 – 11264 =
272

**10. B)**

A = (4640 – 3968) / 3968
× 100 = 16.93%

B = (5292 – 3300) / 3300
× 100 = 60.36%

C = (5400 – 3900) / 3900
× 100 = 38.46%

D = (3990 – 3920) / 3920
× 100 = 1.78%

E = (3840 – 3825) / 3825
× 100 = 0.39%

F = (4224 – 3240) / 3240
× 100 = 30.37%

**11. D)**Banshee:

P=(Px4xr)/100=>r=25%

Shyam:

P(1+25/100)2
=25P/16

Again,

25P/16 x (2×25)/100
= 25P/32

Therefor total amount of
banshee after 4 years=2P

Tota amount of Shyam
after 4 years= 25P/16 + 25P/32 = 75P/32

Therefore difference in
amount= 75P/32 – 2P= 11P/32 =2750

=>P=Rs.8000

**12. D)**Let the speed of the boat be B and that of the river be R.

In 12 minutes the
distance between boat and cap=12(B-R)+12R=12B

Now time taken by boat to
reach the cap= 12B/{(B+R)-R)}=12 minutes

Total time=24 minutes

In 24 minutes the cap
flew= 3km

So, 24/60 x R=3

=> R=7.5 kmph

**13. C)**Initial 2 days (G+B+K=40%) +last 8 days(B+K=60%)

The efficiency of B and K
is 7.5 %, Since B and K complete 60% work in 8 days and efficiency of G,B and K
is 20%. It means efficiency of G alone is 12.5%= 20-7.5%

Now,

Number of days= 4x : 5x
( B:K)

Efficiency=
5y:4y (B:K)

Efficiency of B=5/9
x 7.5= 4.16%

Efficiency of K= 4/9 x
7.5=3.33%

Hence K(Krishna) has the
least efficiency

Share of work done by
him= 3.33% x 10 = 33.33%

Share of amount= 33.33%
of Rs 3000 = Rs 1000

**14. C)**Length x breadth=2000

=>L/2 x
b=10000=Area of Madhu’s land

For the given area, a
square gives the minimum perimeter

L/2=b

=>bxb=10000

=>b=100m

Perimeter=4×100=400m

Expenses of
fencing=5×400=Rs.2000

**15. A)**Solve by options

Let the length and
breadth of the second rectangle is l and b respectively, Then the area of the
second field is l x b

In option a, x=80, then,
area of first field= l/5 x 5b=lb

Hence the area of Birla’s
field =area of Ratan’s field.