NABARD Manager Quant Aptitude Mock Test 2

QUESTION: 1

The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:

A.
5:2
B.
7:3
C.
9:2
D.
13:4

Solution: Let the ages of father and son 10 years ago be 3x and x years respectively.
Then, (3x + 10) + 10 = 2[(x + 10) + 10]
⇒ 3x + 20 = 2x + 40
⇒ x = 20
∴ Required ratio = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3

QUESTION: 2

The area of the quadrant of a circle whose circumference is 22 cm is

A.
38.5 cm²
B.
19.25 cm²
C.
9.625 cm²
D.
none of the above

Solution:

QUESTION: 3

A house worth Rs 150000 is sold by X at 5% profit to Y. Y sells the house back to X at a 2% loss. Then, in the entire transaction

A.
X gains Rs 4350
B.
X loses Rs 4350
C.
X gains Rs 3150
D.
X loses Rs 3150

Solution:

CP = Rs 150000
Overall gain percentage
= 5 - 2 - 10 100 = 2.9%
⇒ 150000 x 29/ 1000 = Rs 4350 gain

QUESTION: 4

The mean of 50 observations was 36. It was found later that an observation 48 was wringly taken as 23. The corrected new mean is:

A.
35.2
B.
36.1
C.
36.5
D.
39.1

Solution:

QUESTION: 5

Which fraction comes next in the sequence 1/ 2 , 3 /4 , 5/ 8 , 7/ 16 , ?

A.
9 /32
B.
10 /17
C.
11/ 34
D.
12 /35
E.
13 /42

Solution:

Clearly, the numerators of the fractions in the given sequence form
the series 1,3,5,7 in which each term is obtained by adding 2 to the previous terms
The denominators of the fractions form the series
2, 4, 8, 16 i.e. 2¹, 2², 2³, 2⁴
So, the numerator of the next fraction will be (7 + 2) i.e. 9
and the denominator will be 2⁵
Thus, the next term is 9 32

QUESTION: 6

A property tax increase was proposed by a municipal corporation and it was observed that 40% of the property owners favoured it while 80% of the nonowners of property favoured it. If 70% of voters are property owners, what is the probability that a voter selected at random would be the one favouring the increase?

A.
0.80
B.
0.52
C.
0.40
D.
All of the above
E.
None of these

Solution:

Favourable number of cases
= 40 x 70 /100 + 30 x 80/ 100
= 28 + 24 = 52
∴ Required probability
= 52 100 = 0.52

QUESTION: 7

A gets 20% more money than B. How much % money B gets less than A

A.
16 $\frac{2}{5}$
B.
16 $\frac{2}{3}$
C.
18
D.
20

Solution: If B gets 100, A gets 120 and % B gets less than

A = \frac{20}{120} � 100 = 16 \frac{2}{3} %

QUESTION: 8

The ratio of the monthly income to the savings of a family is 9:2. If the monthly income of the family is Rs 2700, then its monthly expenditure will be

A.
Rs 1800
B.
Rs 2209.09
C.
Rs 2100
D.
Rs 1600

Solution:

Income/ Savings
= 9 2
⇒ 2700 /x = 9/ 2 ⇒ x = 600
Hence, Expenditure = 2700 - 600 = Rs 2100

QUESTION: 9

The simple interest on a sum of money is 1/4 of the principal. If number of years is equal to rate percent per annum, the interest rate is

A.
5.0%
B.
5.1%
C.
5.2%
D.
4.8%

Solution:

QUESTION: 10

Two cans A and B contain milk and water in the ratio 4:1 and 5:2 respectively. Find the ratio in which these mixtures are to be mixed to make a new mixture containing milk and water in the ratio 7:2.

A.
20:7
B.
5:2
C.
15:7
D.
9:5

Solution:

QUESTION: 11

Six labourers complete a piece of work in 20 days. If only four labourer are employed, then the time taken by them will be

A.
25 days
B.
28 days
C.
30 days
D.
32 days

Solution:

QUESTION: 12

The base radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is

A.
27 : 20
B.
20 : 27
C.
9 : 4
D.
4 : 9

Solution:

QUESTION: 13

In each of these questions two equations numbered I & II are given. You have to solve both the equations and give answer

I. a² + 5a + 6 = 0
II. b² + 3b + 2 = 0

A.
a < b
B.
a > b
C.
if relationship between a & b cannot be established
D.
a ≥ b
E.
a ≤ b

Solution:

I. a² + 5a + 6 = 0
⇒ a² + 2a + 3a + 6 = 0
⇒ a (a + 2) + 3 (a + 2) = 0
⇒ (a + 2) (a + 3) = 0
⇒ a = -2 or -3
II. b² + 3b + 2 = 0
⇒ b² + 2b + b + 2 = 0
⇒ b (b + 2) + 1 (b + 2) = 0
⇒ (b + 1) (b + 2) = 0
⇒ b = -1 or -2
a ≤ b

QUESTION: 14

In each of these questions two equations numbered I & II are given. You have to solve both the equations and give answer

I. 2a² + 3a + 1 = 0
II. 12b² + 7b + 1 = 0

A.
a < b
B.
a > b
C.
if relationship between a & b cannot be established
D.
a ≥ b
E.
a ≤ b

Solution:

I. 2a² + 3a + 1 = 0
⇒ 2a² + 2a + a + 1 = 0
⇒ 2a (a + 1) + 1 (a + 1) = 0
⇒ (a + 1) (2a + 1) = 0
⇒ a = -1 or - 1212
II. 12b² + 7b + 1 = 0
⇒ 12b² + 3b + 4b + 1 = 0
⇒ 3b (4b + 1) + 1 (4b + 1) = 0
⇒ (3b + 1) (4b + 1) = 0
⇒ b = - 1/3 or - 1/4
a < b

QUESTION: 15

By how much amount are the sales in 1989 more than that in 1987 ?

A.
Rs.one hundred
B.
Rs.ten thousand
C.
Rs.one lakh
D.
Rs.ten lakh

Solution:

QUESTION: 16

The sales in 1987 are how many times to that in 1988 ?

A.
0.8
B.
1.25
C.
8
D.
0.25

Solution:

In 1989 sales = 420 thousand
1987 sales = 320 thousand
So sales in 1989 more than in 1987 = 420000 - 320000 = 100000

QUESTION: 17

Study the following graphs carefully to answer the questions given below it.

What is the amount (in Rs.) spent by Company 'A' on Electricity ?

A.
92950
B.
9652500
C.
162200
D.
None of these

Solution:

QUESTION: 18

Study the following graphs carefully to answer the questions given below it.

How much (in Rs.) have both companies together spent on raw material ?

A.
1651000
B.
1545000
C.
17981000
D.
None of these

Solution:

QUESTION: 19

Read the following information carefully and answer the questions based on it.
In 6 educational years, number of students taking admission and leaving from the 5 different school which are founded in 1990 are given below

What is the average number of students studying in all the five schools in 1992 ?

A.
1494
B.
1590
C.
1640
D.
None of these

Solution:

Total no. of students studying in all schools in 1992
= (1025 + 230 + 190 + 950 + 350 + 225 + 1100 + 320 + 300 + 1500 + 340 + 300 + 1450 + 250 + 280) - (120 + 110 + 150 + 115 + 130 + 150 + 150 + 160 + 125 + 130)
= 8810 - 1340 = 7470
∴ Average = 7470/5 = 1494

QUESTION: 20

Read the following information carefully and answer the questions based on it.
In 6 educational years, number of students taking admission and leaving from the 5 different school which are founded in 1990 are given below

What was the number of students studying in School B in 1994 ?

A.
2030
B.
1060
C.
1445
D.
None of these

Solution:

Number of students studying in school B in 1994
= 950 + (350 - 150) + (225 - 115) + (185 - 110) + (200 - 90)
= 950 + 200 + 110 + 75 + 110 = 1445

20 Questions MCQ Test NABARD Manager - Mock Tests & Previous Year Papers | NABARD Manager Quant Aptitude Mock Test 2

The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:

5:2

7:3

9:2

13:4

The area of the quadrant of a circle whose circumference is 22 cm is

A house worth Rs 150000 is sold by X at 5% profit to Y. Y sells the house back to X at a 2% loss. Then, in the entire transaction

35.2

36.1

36.5

39.1

16 2 5

16 2 3

18

20

5.0%

5.1%

5.2%

4.8%

20:7

5:2

15:7

9:5

25 days

28 days

30 days

32 days

27 : 20

20 : 27

9 : 4

4 : 9

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16 $\frac{2}{5}$

16 $\frac{2}{3}$