Quantitative
Aptitude Practice Questions for IBPS Clerk – Set 8
Directions
(1 – 5): Each of the questions below consists of a question and two statements
numbered I and II given below it. You have to decide whether the data provided
in the statements are sufficient to answer the question. Read both the
statements and give answer:
a) The data in statement I alone is
sufficient to answer the question, while the data in statement II alone is not
sufficient to answer the question.
b) The data in statement II alone is
sufficient to answer the question, while the data in statement I alone is not
sufficient to answer the question.
c) The data in statement I alone or
in statement II alone is sufficient to answer the question.
d) The data in both the statements I
and II is not sufficient to answer the question.
e) The data in both the statements I
and II together is necessary to answer the question
1. Thirty percent of the banking aspirants are
boys. Ten percent of the girl aspirants have the CCC certificates. What is the
percentage of boy aspirants who have CCC certificate?
I. Twenty five per cent of the aspirants
have CCC certificates.
II. Number of boy aspirants having CCC certificates are 20% more than
the number of girl aspirants having CCC certificates.
2. Suresh Reddy has decided to take a nonstop
flight from IGIA Delhi to Sydney in Australia. He is scheduled to leave Delhi
at 5 am, as per Indian standard time on December 10, 2016. What is the local
time at Sydney when he reaches there?
I. The average speed of the plane is 700
km/hr.
II. The flight distnace is 10,500
kilometers.
3. Is India's GDP higher than that of Australia?
I. GDPs of India and Australia have
grown over the past five years at compounded annual rate of 5% and 6%
respectively.
II. Five years ago, GDP of India was
higher than that of Australia.
4. Akshay bought gold coins on a certain day, and
sold them the next day. While buying and selling he had to pay to the broker
one percent of the transaction value of the gold as brokerage. What was the
profit earned by him per rupee spent on buying the gold coins?
I. The sales price per gold coin was
1.05 times that of its purchase price.
II. The number of gold coins purchased
was 100.
5. Iyer family has only one kid. Mr. Iyer, the
father says "after 'n' years, my age will be 4 times the age of my
kid." Mrs. Iyer, the mother says "after 'n' years, my age will be 3
times that of my kid." What will be the combined ages of Mr. Iyer and Mrs.
Iyer after 'n' years?
I. The age difference between the Mr.
and Mrs. Iyer is 10 years.
II. After 'n' years the kid is going to
be twice as old as she is now.
Directions (6
– 10): In each of the following questions, read the given statement and compare
the Magnitude I and Magnitude II on its basis.
a) Magnitude
I > Magnitude II
b) Magnitude
I < Magnitude II
c) Magnitude
I ≥ Magnitude II
d) Magnitude
I ≤ Magnitude II
e) Magnitude
I = Magnitude II or no relation can be established
6. Magnitude I: Subhas earned an average of Rs. 1500
per month from January through May. Then he earned Rs. 1600, Rs. 1700, Rs.
1800, Rs. 1900 and Rs. 2000 during the months from June through October. During
November he earned 50% of what he earned in December. If his average earning
for the entire year is Rs. 1500, then his earnings in the month of November.
Magnitude II: A certain sum compounded annually, at the rate of 20% gives the amount of
864 after 3 years. What was the principal 3 years ago.
7. Magnitude
I: The probability that
Ajay speaks truth is 3/5 and that of Varun speaking truth is 4/7. What is the
probability that they agree in stating the same fact?
Magnitude
II: Out of 10 people
working on a project, 4 are skilled. If 3 are selected, what is the probability
that there is at least one skilled among them?
8. Magnitude
I: In a right angled
triangle ABC, find the height of the altitude BD drawn from B to the hypotenuse
AC; given AB = 9 cm and BC = 12 cm.
Magnitude
II: A fruit seller bought
600 guava at Rs. 30 per 20 guavas. 250 guavas got spoiled and hence thrown He
sold 24 dozen guavas at the rate of Rs. 30 per dozen and the remaining at Rs.
2.5 per guava, then the total profit/loss
10. Magnitude
I: In a group of 80 children and 10
youngster, each child got candies that are 15% of the total number of children
and each youngster got candies that are 25% of the total number of children.
How many candies were there?
Magnitude
II: Vijay and Shekhar
started a business with investments of Rs. 20k and 24k respectivley. At the end
of one year, the total profit they shared was Rs. 1000 more than the difference
in their profit share, then the total profit
Directions
(11 – 12): Study the following information and asnwer the questions that
follow:
Three popular movies, Dangal, Pink and Rustom, were nominated
for the best film award. 60 persons were asked which film deserved the award
the most.
16 people thought only Rustom deserved it.
The number of people who thought that all the three films
equally deserved the award was twice the number of people who thought that Pink
and Rustom deserved that award but Dangal did not.
The number of people who thought that Pink deserved that
award was equal to twice the number of people who thought all the three equally
deserved it.
The number of people who thought that Dangal and Pink, but
not Rustom deserved the award was equal to the number of people who thought
that only Dangal or Dangal and Rustom but not Pink deserved it.
11. Find
the maximum number of people who thought that all the three movies deserved the
award?
a) 36
b) 22
c) 44
d) 21
e) None of these
12. Find
the number of people who thought that Pink deserved the award?
a) 44
b) 32
c) 22
d) 11
e) None of these
Directions
(13 – 15): Study the following information carefully and answer the question
given beside:
Export value of three materials and thier percentage share
Product

201516

201617

Plastic

23%


Cotton


Mineral oils

26%


Total value in crore (₹)

22400

25800

I. In 201516, the value of export of cotton exceeds that value of
Mineral Oils by 100%
II. In 201617 the ratio of the % value of export of Mineral oils to
that of Cotton is 3 : 4.
III. The export value of Plastic in 201617 exceeds its value in 201516 by
Rs. 1006 crore.
13. The
export value of Mineral oils during 201516 was approximately how much per cent
less than that of during 201617?
a) 32%
b) 24%
c) 38%
d) 43%
e) 28%
14. What
is the percentage change in the value of export of Cotton from 201516 to
201617?
a) 2.2
b) 2.9
c) 2.5
d) 4.6
e) 3.2
15. During
201516, how much more is the value of export of Mineral oils than that of
Plastic?
a) Rs.886
cr
b) Rs. 896
cr
c) Rs.906
cr
d) Rs.856
cr
e) Rs.962
cr
Solutions:
1. C) Let
there be 100 aspirants, So, as per the question, 30 among them will be boys and
the rest 70 will be girls.
∴ 10% of 70 = 7 girl aspirants have CCC certificates.
From Statement I: 25% aspriants have CCC
certifiactes = 25% of 100 = 25
∴ 25 – 7 = 18 boy aspirants have CCC certificates.
∴ Reqd % = 18/30 × 100
Hence, Statement I alone
is sufficient.
From Statement II:
Number of boy aspirants
having CCC certificates = 1.2 × 7
∴ Reqd % = (1.2 × 7)/30 × 100
Hence, statement II is
also suffcient.
Hence, option C is
correct
2. D) From
the information in statment I and II alone we can't determined the answer.
From statement I and
II: By
combining both the statments we can get the duration of the flight. But for the
arrival time we should have the information regarding the time zone difference
of Delhi and Sydney.
Hence, option D is
correct.
3. D) From
statement I: This statement does not give us the actual values of their GDP's 5
years ago.
From Statement II: We
know that GDP of India is greater than that of Australia but we do not know by
how much is greater.
Even after combining both
the statements the question can't be answered.
Hence, option D is
correct.
4. A) From
Statement I:
The cost of buying the gold coins for Akshay is
CP + 0.01 CP = 1.01 CP
The cost of selling the
gold coins for Akshay is
SP – 0.01 SP = 0.99 SP
∴ Profit = Cost of selling – Cost of buying =
0.99 SP – 1.01 CP
∵ SP = 1.05 CP
Profit = (0.99 × 1.05) CP
– 1.01 CP = 0.0295 CP
∴ Profit earned per rupee spent on buying the gold
coins is Rs. 0.0295.
From the number of gold
coins given in the statement II, we can't conclude anything.
Hence, option A is
correct.
5. A) Let
the present age of father (Mr. Iyer) = f years
The present age of mother
(Mrs. Iyer)= m years
The present age of kid =
k years
∴ f + n = 4(k + n)
..(i)
∴ m + n = 3 (k + n) ...(ii)
Eqn. (i) and (ii), we get
f – m = k + n
....(iii)
Eqn. (i) + Eqn.
(ii)
∴ f + m + 2n = 7k + 7n = 7(k + n)
....(iv)
From statement
I:
f – m = 10
Substituting in eqn.
(iii), we get
k + n = 10
∴ The combined age of the Mr. and Mrs. Iyer after n
years = 7 (k + n)
= 7 × 10 = 70 years
∴ Statement I alone is sufficient.
From statement
II:
k + n = 2k
n = k
....(v)
Substituting eqn. (v) in
equation (iii), we get
f – m = 2n
Substituting eqn. (v) in
equation (iv), we get
f + m = 14n – 2n
f + m = 12n
∵ The value of n is not known.
∴ We can't find the combined age of parents.
∴ Statement II alone is not sufficient.
Hence, option A is
correct.
6. E) Magnitude
I: Let the
earnings for the month of November be x. Then the earnings in December will be
2x.
Now, the total annual
earnings = (1500 × 5) + 1600 + 1700 + 1800 + 1900 + 2000 + x + 2x = 16500 + 3x
Total earnings for the
given year = 12 × 1500 = Rs. 18000 which is equal to 16500 + 3x
⇒ 16500 + 3x = 18000 ⇒ 3x = 1500 ⇒ x = 500 rupees
Magnitude II: Amount = 864, Rate of interest
= 20%
Calculate the net% effect
for 3 years @ 20%, applying the net% effect formula
Net % effect = x + y +
(xy/100)%
For first 2 years, here x
= 20% and y = 20%
= 20 + 20 + (20 × 20)/100
= 44%
For 3^{rd} year,
here x = 44% and y = 20%
= 44 + 20 + (44 + 20)/100
= 64 + 8.8 = 72.8%
From here, we can
conclude that (100 + 72.8)% = 864
Let the principal be x
172.8% = 864
100% = x
⇒ x = (864 × 100)/172.8 = 500
Hence, Magnitude I =
Magnitude II
7. B) Magnitude
I: If both
agree stating the same fact, either both of them speak the truth or both speak
false.
∴ Probability = 3/5 × 4/7 + 2/7 × 3/7 = 12/35 + 6/35 =
18/35
Magnitude II: P(at least one skilled person) = 1 –
P(no skilled person)
= 1 – (6C3)/(10C3) = 1 – [(6
× 5 × 4)/(10 × 9 × 8)] = 5/6
Hence, Magnitude I <
Magnitude II
8. B) Magnitude I: Since the sides containing the
right angle are 9 cm and 12 cm, the area of te triangle = 1/2 × 9 × 12 = 54
sq.cm
As AB = 9 cm, BC = 12 cm,
AC will be 15 cm. Considering AC as the base and BD as the altitude, the area
of ΔABC = 1/2 × AC × BD = 1/2 × 15 × BD = 54
BD = (54 × 2)/15 = 108/15
= 7.2cm
Magnitude II: Cost price of
guavas = 600 × 30/20 = Rs.900
Remaining guavas = 600 –
250 = 350
Selling price of guavas
sold at Rs. 30 per dozen = 24 × 30 = Rs. 720
Selling price of guavas
sold at Rs. 2.5 per guava
= (350 – 24 × 12) × 2.5
= (350 – 288) × 2.5 = 62
× 2.5 = Rs. 155
∴ Total selling price = 720 + 155 = 875
Total loss = 900 –
875 = 25
Hence, Magnitude I <
Magnitude II
9. E)
10. A) Magnitude I: Number
of children = 80
Number of youngesters =
10
Number of candies each
child got = 15% of 80 = 15/100 × 80 = 12
∴ Number of candies 80 children got = 80 × 12 = 960
Number of candies each
youngster got = 25% of 80 = 20.
∴ Number of candies 10 youngers got = 10 × 20 =
200.
∴ Total number of candies = 960 + 200 = 1160.
Magnitude II: Ratio of profits of Vijay and
Shekhar = Ratio of investments = 5 : 6
Let the profit shares of
Vijay and Shekhar be 5x and 6x respectively.
6x + 5x = 6x – 5x + 1000 ⇒ x = 100
Total profit = 11x = Rs.
1100
Hence, Magnitude I >
Magnitude II
(11 – 12): Explanation:
Let x be the
number of people who thought that Pink and Rustom deserved the award but Dangal
did not.
Then the number of people
who thought all three equally deserved it is 2x.
Let m be the number of
people who thought that Dangal and Pink, but not Rustom deserved the award.
The number of people who
thought that Pink deserved = 4x
The number of people who
thought that only Pink deserved the award = 4x – (m + 2x + x) = x – m
From the given data, we
can draw the following Venn diagram.
Thus, 2m + x – m +
2x + x + 16 = 60
∴ m + 4x = 44
x is maximum when m = 0
∴ x = 11
∴ 2x = 22
The maximum number of
people who thought that all the three movies deserved the award = 22.
And, The number of people
who thought that Pink deserved the award = 4x = 4 x 11 = 44
11. B) The maximum number of people who
thought that all the three movies deserved the award = 22
12. A) The
number of people who thought that Pink deserved the award = 44
(13 – 15): Common Explanation: As per the
given information, we get
%
export of cotton = 26 × 2 = 52% = 11648
%
export of Mineral oils = 26% = 5824
%
export of Plastic = (100 – 26 – 52)% = 22% = 492
Product

201516

201617

Plastic

4928 (22%)

5934(23%)

Cotton

11648(52%)

11352(44%)

Mineral oils

5824 (26%)

8514(33%)

Total value in crore (₹)

22400 (100%)

25800 (100%)

13. A) Reqd % = (8514 – 5824)/8514 × 100 =
31.6% ≈ 32%
14. C) Percentage
change in the value of export of cotton from 201516 to 201617
= (11648 – 11352)/11648 ×
100 = 2.5%
15. B) Following
the common explanation, we get, In 201516,
∴ Reqd difference = 5824 – 4928 = ₹ 896 Cr