## Quantitative Aptitude Question And Answer With Explanation (Practice set 3)

Each student needs to get the latest and important questions asked regularly in the competitive exams. So, here We are sharing the best 10 aptitude questions and answers for those students who are finding important or top questions for the better preparation of the aptitude section. These questions will be useful for your upcoming competitive exams.

**So let's start!**

Q1) Unit digit in (264)102 + (264)103 is:

(a) 0

(b) 4

(c) 6

(d) 8

Correct Answer: “c”

Q2) In a class 3/5 of the students are girls and the rest are boys. If 2/9 of the girls and 1/4 of the boys are absent. What part of the total number of students are present?

(a) 23/30

(b) 23/36

(c) 18/49

(d) 17/25

Correct Answer: “a”

Q3) The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and the same number of pencils is:

(a) 91

(b) 910

(c) 1001

(d) 1911

Correct Answer: “a”

Q4) The following points (3a, 0), (0, 3b), (a, 2b) forms a

(a) straight line

(b) triangle

(c) equilateral triangle

(d) None of these

Correct Answer: “a”

Q5) The points A(–1, 4), B(5, 2) are the vertices of a triangle of which C(0,–3) is the centroid, then the third vertex C is

(a) 4, 15

(b) 4, –15

(c) –4, –15

(d) None of these

Correct Answer: “c”

Q6) The Acute angle between the lines with slopes 3 and –2 is

(a) 60°

(b) 45°

(c) 30°

(d) None of these

Correct Answer: “b”

Q7) Between two consecutive years my incomes are in the ratio of 2 : 3 and expenses in the ratio 5: 9. If my income in the second year is Rs. 45000 and my expenses in the first year is Rs. 25000 my total savings for the two years are

(a) Nil

(b) Rs. 15000

(c) Rs. 10000

(d) Rs. 5000

Correct Answer: “d”

Q8) Rs. 180 contained in a box consists of one rupee, 50 paise, and 25 paise coins in the ratio 2 : 3: 4. What is the number of 50 paise coins?

(a) 60

(b) 120

(c) 150

(d) 180

Correct Answer: “b”

Q9) If a man walks 20 km at 5 km/hr, he will be late by 40 minutes. If he walks at 8 km per hr, how early from the fixed time will he reach?

(a) 50 minutes

(b) 15 minutes

(c) 25 minutes

(d) ¹(½) hours

Correct Answer: “a”

Q10) The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/ hr Another train starts from B at 9 a.m. and travels towards A at 75 km/hr At what time do they meet?

(a) 11 a.m.

(b) 11: 30 a.m.

(c) 10 a.m.

(d) 10: 30 a.m.

Correct Answer: “a”

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ANSWERS WITH EXPLANATION

Q1) Correct Answer: “c”

EXPLANATION:

The unit digit in (264)4 4 × 4 × 4 × 4 is 6

∴ The unit digit in (264)100 is also 6.

Now, (264)102 = (264)100 × (264)2

= (Unit digit 6) × (Unit digit 6) = 36

∴ Unit digit is 6

Similarly

Therefore, the unit digit in (264)102 + (264)103 is 6 + 4 = 10 i.e. 0.

Q2) Correct Answer: “a”

EXPLANATION:

Let the total number of students be x

Therefore, 3x/5 students are girls

Number of boys= x - 3x/5

= 2x/5 Students

2/9 of girls are absent. It means that

3x/5 - 2/9(3x/5) are present

= 7x/15 girls are present

1/4 of the total number of boys are absent

So, 2x/5 - 1/4(2x/5) boys are present

= 3x/10 boys are present

Total number of students present =total number of girls present + the total number of boys present

= 3x/10+ 7x/15=23x/30 are present

Q3) Correct Answer: “a”

EXPLANATION:

So, for this, we have to find HCF of 1001 and 910

Write 1001 and 910 product of prime

1001 = 7 × 11 × 13

910 = 2 × 5 × 7 × 13

HCF of 1001 , 910 = 7 × 13 = 91

Q4) Correct Answer: “a”

EXPLANATION:

Area of Triangle = 1/2(x1(y2−y3)+x2(y3−y1)+x3(y1−y2))

Area of Triangle= 1/2 (3a( 3b - 2b ) + 0( 2b - 0) + a( 0 - 3b) )

Hence these points form a straight line.

Q5) Correct Answer: “c”

EXPLANATION:

If (x1,y1), (x2,y2) , (x2,y2) are three vertices of the triangle whose centroid G

G= (x1+x2+x3/3 , y1+y2+y3/3 )

given A (-1,4) , B(5,2) , let third vertex C =(x,y) and G= (0,-3)

(-1+5+x/3, 4+2+y/3) = (0,-3)

(4+x/3 , 6+y/3) =(0,-3)

therefore

4+x/3 = 0 , 6+y/3 = -3

4+x =0 , 6+y = -9

x= -4 , y= -9-6

x= -4 , y = -15

third vertex = C (x,y) = (-4,-15)

Q6) Correct Answer: “b”

EXPLANATION:

Let us consider the acute angles between the lines to be Ф.

If the two slopes are considered as m and m'.

So, tan Ф = (m - m')/[(1 + mm')]

Here, m = -2 and m' = 3

So, tan Ф = (-2 - 3)/[(1 - 6)] = -5/-5 = 1

Ф = tan⁻¹ (1)

= 45°

Q7) Correct Answer: “d”

EXPLANATION:

Income in the second year

= ₹ 45000

Income in the first year

= ₹ 30000

Expense in the first year

= ₹ 25000

Expense in the second year

= ₹ 45000

∴ Total saving

= 75000 – 70000 = ₹ 5000

Q8) Correct Answer: “b”

EXPLANATION:

The ratio of the values = 2 : | : | ||

2 | 4 |

= 4 : 3 : 2

∴ Value of 50 paise coins

= | × 180 = ₹ 60 | |

9 |

Numbers of 50 paise coins = 120.

Q9) Correct Answer: “a”

EXPLANATION:

Time taken to cover 20 km at speed 5 km/hr

= 4 hours

∴ Fixed time = 4 hour – 40 minutes = 3 hour 20 min

Time taken to cover 20 km at the speed 8 km/hr =20/8

= 2 hours 30 minute

∴ Required time = 3 hours 20 minutes – 2 hr 30 min

= 50 minutes

Q10) Correct Answer: “a”

EXPLANATION:

Suppose they meet x hrs after 8 a.m

then,

[Distance moved by first in x hrs] + [Distance moved by second in (x-1) hrs] = 330.

Therefore, 60x + 75(x-1) = 330.

=> x=3.

So,they meet at (8+3) i.e, 11a.m.

Also Read: Quantitative Aptitude Question And Answer With Explanation