Dear Aspirants,
Welcome to Mentor for Bank Exams.
Here is the Quantitative Aptitude Quiz to help you practice with the best
of latest pattern questions for the upcoming IBPS PO, IBPS Clerk and other bank
and Insurance Exams.
Directions (1 – 5): Answer the following questions based on below data,
Annual exams marks secured by seven students of class IX are given below:
Student

Mathematics (150)

Science (150)

English (100)

Computer (80)

Humanities (100)

Aditya

68

79

56

35

45

Brijesh

100

39

42

70

68

Chandan

59

75

46

45

69

Dinesh

60

60

89

32

89

Eashan

112

42

32

35

78

Faran

135

140

75

35

55

Govind

87

75

38

61

71

With the above information following
is also known:
• Students are promoted to class
tenth, if they score 40% or more marks in each subject separately and also 50%
marks overall.
• There is a provision of passing a
student with grace if he scores more than 50% marks overall but less than 40%
and more than 35% marks in only one subject.
• Also there is a provision of
supplementary exam for students failing not more than 2 subjects and acquiring
more than 40% marks overall.
• For rest all the cases, a student
is considered as fail.
1. What is the difference between the total marks obtained by students
receiving grace and students receiving supplementary?
a)
15
b)
2
c)
78
d)
9
e)
None of these
2. How many marks are allotted as grace marks taken together for students
getting grace?
a)
3
b)
1
c)
2
d)
No one gets grace
e)
None of these
3. Student receiving second highest marks is approximately what percent
more than the student receiving third lowest marks, irrespective of grace and
supplementary received?
a)
19%
b)
14%
c)
21%
d)
11%
e)
None of these
4. How many students failed?
a)
1
b)
2
c)
3
d)
None
e)
None of these
5. If students receiving supplementary are promoted to next year (until
supplementary exam are conducted) and are not considered as fail and the class
has only those students, then what is the pass percentage of the class?
a)
100%
b)
75.78%
c)
87.51%
d)
56.72%
e)
85.71%
(1 – 5): Common Explanation:
Following table shows the marks
obtained in various subjects and respective percentage of the subjects:
Student

Mathematics (150)

Science (150)

English (100)

Computer (80)

Humanities (100)

Total (580)

ADITYA

68(45.33%)

79(52.67%)

56(56%)

35(43.75%)

45(45%)

283(48.79%)

BRIJESH

100(66.67%)

39(26%)

42(42%)

70(87.5%)

68(68%)

319(55.00%)

CHANDAN

59(39.34%)

75(50%)

46(46%)

45(56.25%)

69(69%)

294(50.68%)

DINESH

60(40.00%)

60(40%)

89(89%)

32(40%)

89(89%)

330(56.89%)

ESHAN

112(74.67%)

42(28%)

32(32%)

35(43.75%)

78(78%)

299(51.55%)

FARAN

135(90%)

140(93.34%)

75(75%)

35(43.75%)

55(55%)

440(75.86%)

GOVIND

87(58%)

75(50%)

38(38%)

61(76.25%)

71(71%)

332(57.24%)

1. Answer: E)
Explanation:
From the given information, we get
that chandan and Govind get grace marks and Brijesh and Eashan get
supplementary. Total marks obtained by them are
Chandan: 59+75+46+45+69=294
Govind: 87+75+38+61+71=332
294+332=626
Brijesh: 100+39+42+70+68=319
Eashan: 112+42+32+35+78=299
319+299=618
Difference between the total marks
obtained by students receiving grace and students receiving supplementary is
=626618 =8.
2. Answer: A)
Explanation:
As we know chandan and Govind get
grace in mathematics and English respectively,
40% is passing marks for any subject
Passing marks for maths = (40X150)
/100=60
chandan gets 59 marks in maths and
gets 1 mark grace to pass
Similarly
Passing marks for english = (40X100)
/100=40
Govind gets 38 marks in English and
gets 2 mark grace to pass
Total marks allotted for grace are
1+2=3.
3. Answer: D)
Explanation:
Student receiving second highest
marks is Govind his total is=332
Student receiving third lowest marks
is Eashan his total is=299 =332299 =33
Required percentage =(33/299)
X100=11.03% ≈11%
4. Answer: A)
Explanation:
With the help of above table, we can
know that, Only Aditya is failing as his overall percentage of marks is less
than 50%
5. Answer: E)
Explanation:
Pass percentage= Number of students
passed/Total number of students*100
passed student with grace and
supplementary exam = 6
so, pass percentage= (6/7)
X100=85.71%
Directions (6 – 10): Each of the question 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?
6. What is the age of Radha?
(I) Radha is 5
years younger than Radhe. The product of the age of Radhe 8 years ago (In
years) and his age 10 years ago (In years) is 120.
(II) The
present age of Radha is the average of the present ages of Riya and Rima. The
ratio of the present ages of Riya and Rima is 8:7 and the product of Riya's age
4 years ago (In years) and Rima's age 9 years ago (In years) is 60.
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 either 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 together are not sufficient to answer the question.
e)
The data in both the Statements I
and II together are necessary to answer the question.
7. What is the length of the train?
(I) The ratio
of the time taken by the train to cross a pole to the time taken by the train
to cross a bridge of length 30 m with the same speed is 9:10.
(II) Train A
having length 140 m less than the length of the given train travels with the
speed of 10 m/s less than the speed of the given train. The ratio of time taken
by the given train to cross train A by moving in the same direction of train A
to the time taken by the given train to cross train A by moving in the opposite
direction of train A is 2:1.
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 either 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 together are not sufficient to answer the question.
e)
The data in both the Statements I
and II together are necessary to answer the question.
8. In how many days will Umesh, Shiva, Kamlesh and Nagesh completes a
task working together? (1 day = 12 hours).
(I) Shiva and
Kamlesh together complete the task in 6 days 8 hours. Efficiency of Umesh is
50% more than the efficiency of Kamlesh and efficiency of Nagesh is 25% less
than the efficiency of Shiva.
(II)
Efficiency of Shiva is 25% more than the efficiency of Kamlesh. Number of hours
taken by Nagesh alone to complete the task is 72 more than the number of hours
taken by Umesh alone to complete the task.
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 either 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 together are not sufficient to answer the question.
e)
The data in both the Statements I
and II together are necessary to answer the question.
9. What is the initial quantity of pure milk in a 40 litres solution of
milk and water?
(I) If 4
litres of solution is removed and 9 litres of milk is added followed by 5
litres of the solution removed and 10 litres of milk is added, then volume of
the milk becomes 84% of the volume of the solution.
(II) If 4
litres of the solution is replaced by water, then quantity of the milk left in
the solution was 750 ml more than the quantity of milk left in the solution
after replacing 5 litres of solution by water.
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 either 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 together are not sufficient to answer the question.
e)
The data in both the Statements I
and II together are necessary to answer the question.
10. What is the total amount with Nikita?
(I) Nikita
invested 60% of the total amount with her at the rate of 12% per annum simple
interest and remaining at the rate of 20% per annum compound interest
compounded annually for 2 years each. Total interested earned by Nikita was
equal to the total interest earned in 2 years on Rs.10000 at the rate of 16%
per annum.
(II) Nikita
invested some of her amount at the rate of 14% per annum simple interest and
remaining at the rate of 18% per annum simple interest. The effective rate of
interest of Nikita on total amount is 16.8% per annum.
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 either 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 together are not sufficient to answer the question.
e)
The data in both the Statements I
and II together are necessary to answer the question.
(6 – 10): Answers with Explanations:
6. Answer: C)
Explanation:
From statement I:
Let Radhe's present age be 'A' years
Age of Radhe 8 years ago = A8
Age of Radhe 10 years ago = A10
As per the given statement,
(A8) x (A10) = 120
A^{2} 10A 8A +80 =120
A^{2} 18A 40 = 0
A^{2}  20A +2A 40 = 0
A(A20) + 2(A20) =0
A = 20 or A = 2
As age is always positive. So, A =20 years.
Age of Radhe is 20 years.
So, age of Radha = Radhe  5 = 20  5
= 15 years.
Hence the data in statement I alone
is sufficient to answer the question.
From statement II:
Let the present ages of Riya and Rima
are 8A and 7A respectively.
As product of Riya's age 4 years ago
(In years) and Rima's age 9 years ago (In years) is 60.
(8A 4) x (7A9) =60
56A^{2}  72A 28A +36 =60
56A^{2}  100A  24 = 0
14A^{2} 25A 6 =0
14A^{2} 28A +3A 6 = 0
A = 2 or A =  3/14
As age is always positive, So A =2.
So, age of Radha = (16 +14)/2 = 15
years.
So, data in statement II alone is
sufficient to answer the question.
7. Answer: A)
Explanation:
From statement I:
Let the length of train be L m and
the speed of train be S m/s.
Time taken by the train to cross a
pole = (L/S)
Time taken by the train to cross a
bridge of length 30 m
= (L +30)/S
Ratio of time taken by the train to
cross a pole to the time taken by the train to cross a bridge of length 30 m
= (L/S)/ ((L +30)/S) = (9/10)
10L = 9L +270
L = 270 m.
So, data in statement I alone is
sufficient to answer the question.
From statement II:
Let length of the given train be L m.
Let speed of the given train be S
m/s.
Time taken by the given train to
cross train A by moving in the same direction of train A
= (2L 140)/(SS+10) = ((2L140)/10)
Time taken by the given train to
cross train A by moving in the opposite direction of train A
= (2L 140)/(S+S10) =
((2L140)/(2S10))
The ratio of time taken by the given
train to cross train A by moving in the same direction of train A to the time
taken by the given train to cross train A by moving in the opposite direction
of train A.
((2L140)/10)/ (((2L140)/(2S10))) =
((2S10)/10) = 2/1
2S  10 = 20
S =15 m/s
But we don't have the exact time, so
the answer cannot be determined.
So, data in statement II alone is not
sufficient to answer the question.
8. Answer: E)
Explanation:
From statement I:
Number of days taken by Shiva and
Kamlesh together to complete the task
= 6(8/12) = 6(2/3)
We have efficiencies of Nagesh and
Umesh with respective to the efficiencies of Shiva and Kamlesh respectively,
but we don't know the exact efficiencies of Shiva and Kamlesh. So data in
statement I alone is not sufficient to answer the question.
From statement II:
Let Umesh takes N days to complete
the task.
Number of days taken by Nagesh to
complete the task
= N + (72/12) = (N +6).
Efficiency of Shiva is 25% more than
the efficiency of Kamlesh.
But still data in statement II alone
is not sufficient to answer the question.
By combining data from statements I
and II together:
Let number of days taken by Shiva to
complete the task alone be N
As efficiency of Shiva is 25% more
than efficiency of Kamlesh. Kamlesh takes 25% more time than Shiva to complete
the task alone.
Task done by Kamlesh and Shiva
together in 1 day.
(1/N) + (1/(1.25N)) = (3/20)
(1/N) + ((4/5) x (1/N)) = 0.15
(1.8/N) = 0.15
N = 180/15 = 12
Number of days taken by Kamlesh to
complete the task = 1.25 x 12 =15 days.
Efficiency of Umesh is 50% more than
the efficiency of Kamlesh
Task done by Umesh in 1 day = 1.5 x
(1/15) = (1/10)
Efficiency of Nagesh is 25% less than
the efficiency of Shiva
Task done by Nagesh in 1 day = 0.75 x
(1/12) = (1/16)
Task done by all the 4 persons in 1
day working together
= (1/10) + (1/12) + (1/15) + (1/16)
So, we can determine the answer by
combining data from statements I and II.
9. Answer: C)
Explanation:
From statement I:
Let the initial volume of the pure
milk in the solution be V litres.
Water in solution = (40V) litres.
Milk removed after removing 4 litres
of solution
= (V/40) x 4 = (V/10) litres.
Milk left in the solution = V (V/10)
= (0.9V)
Quantity of the milk in the solution
after adding 9 litres of the milk
= 9 +0.9V
Milk removed after removing 5 litres
of the milk
= ((9 + 0.9V)/45) x 5
= 1 +0.1V
Milk left in the solution = (9 +
0.9V)  (1 +0.1V)
= 8 +0.8V
Final quantity of the milk in the
solution = 8 +0.8V +10
18 + 0.8V = 0.84 x 50 = 42
0.8V = 4218 = 24
V = 30
So, initial volume of the pure milk
in the solution was 30 litres. So, data in statement I alone is sufficient to
answer the question.
From statement II:
Let initial volume of milk in the
solution be V litres.
Quantity of milk left after replacing
4 litres of solution by water
= V x (1 (4/40))
= V x (9/10) = 0.9V
Quantity of milk left after replacing
5 litres of solution by water
= V x (1 (5/40))
= V x (7/8) = 0.875V
As per given,
0.9V  0.875V = (750/1000) =0.75
0.025V = 0.75
V = 30 litres.
So, data in statement II alone is
sufficient to answer the question.
10. Answer: A)
Explanation:
From statement I:
Let the total amount with Nikita be P
60% of the amount invested at 12% per
annum simple interest
Interest earned on 60% of the amount
= 2 x 0.12 x 0.6P = 0.144P
Total interest earned on 40% of the
amount
= (0.4P x (1 + (20/100))^{2})
 0.4P
= (0.4P) x ((3625)/25)
= 0.176P
Total interest earned = 0.144P
+0.176P = 0.32P
= 0.32P
Total interested earned on Rs. 10000
= 2 x (16/100) x 10000 = 3200
0.32P = 3200
P = Rs.10000.
Hence data in statement I alone is
sufficient to answer the question.
From statement II:
According to Alligation rule,
14% 18%
16.8%
1.2% 2.8%
Hence, we get (12/28) = 3: 7
We got ratio of the amount in
different plans, but total amount invested cannot be determined.
So, data in statement II alone is not
sufficient to answer the question.