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RRB JE ME (CBT I) Mock Test- 2 - Mechanical Engineering MCQ


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30 Questions MCQ Test - RRB JE ME (CBT I) Mock Test- 2

RRB JE ME (CBT I) Mock Test- 2 for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The RRB JE ME (CBT I) Mock Test- 2 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The RRB JE ME (CBT I) Mock Test- 2 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for RRB JE ME (CBT I) Mock Test- 2 below.
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RRB JE ME (CBT I) Mock Test- 2 - Question 1

Walking at 6/7th of his usual speed, a man is 12 minutes late. The usual time taken by him to cover that distance is-

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 1
S1 : S2 = 6 : 7

T1 : T2 = 7 : 6 (S ∝ 1/T)

Difference between

T1 & T2 = 1(7 - 6 = 1)

If 1 = 12 min.

then 6 = 72 min. 1 hrs 12 min

RRB JE ME (CBT I) Mock Test- 2 - Question 2

In selling an article for ₹ 76, there is a profit of 52%, if it is sold for ₹ 75, then the profit percent will be.

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 2
152% = 76

C.P = Rs. 50

New selling price = 75

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RRB JE ME (CBT I) Mock Test- 2 - Question 3

The lines x + 3y = 4 and 3x – y = 6 intersect the y – axis at A and B respectively. AB = ?

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 3

x + 3y = 4 --------- L1 L1

L1 cuts y axis at B (0, -6)

3x – y = 6 -----------L2

RRB JE ME (CBT I) Mock Test- 2 - Question 4

Read the following bar graph which represents a company's manufacturing and selling(in lakh) of product from 2002 to 2008 and answer the following questions.

Approximately what is the average number of items sold for all the years together?

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 4
Average = (60+55+65+50+60+80+75)/7 = 445/7 = lakh

≃ 63 lakh(Appx.)

RRB JE ME (CBT I) Mock Test- 2 - Question 5

Area of the circle is equal to the area of a rectangle having a perimeter of 100 cm and length is more than the breadth by 6 cm. What is the diameter of the circle?

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 5
Let breadth = x, then length

= (x + 6)

∴ 2(x + x + 6) = 100

⟹ 2x + 6 = 50

⟹ x = 22 cm

∴ breadth = x 22 cm & length

= 22 + 6 = 28 cm

∴ Area of circle = Area of rectangle

⟹ π r2 = 22 x 28

⟹ 7 x 2 = 14 cm

∴ Diameter = 2r = 28 cm

RRB JE ME (CBT I) Mock Test- 2 - Question 6

Seema purchased an item for Rs.9,600 and sold it for a loss of 5 percent. From that money, she purchased another item and sold it for a gain of 5 percent. What is her overall gain/ loss?

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 6

Loss = 9600 - 9576 = 24

RRB JE ME (CBT I) Mock Test- 2 - Question 7

A mixture of 40 litres of milk and water contains 10% water. How much water must be added to make water 20% in the new mixture?

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 7

Milk = 90/100 × 40 = 36 litres

water = 5 litres

∴ 5x + 20 = 40 + x

x = 5

RRB JE ME (CBT I) Mock Test- 2 - Question 8

The average weight of 8 persons increases by 2.5 kg when one person whose weight is 65 kg is replaced by a new person. What Is the weight of the new person?

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 8
Total increase in weight due to addition of new persons = 2.5 × 8 = 20 kg

Weight of new person = 65 + 20 = 85 kg

RRB JE ME (CBT I) Mock Test- 2 - Question 9

Read the following bar graph which represents a company's manufacturing and selling(in lakh) of product from 2002 to 2008 and answer the following questions.

During which year the percentage of items unsold was the highest?

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 9

It was the highest in 2006.

RRB JE ME (CBT I) Mock Test- 2 - Question 10

Read the following bar graph which represents a company's manufacturing and selling(in lakh) of product from 2002 to 2008 and answer the following questions.

Approximately what is the average number of items unsold for all the years together?

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 10
Average = (10+10+15+10+15+10+5)/7 = 75/7 lakh

≈ 1,07,000 lakh(Aprx)

RRB JE ME (CBT I) Mock Test- 2 - Question 11

A, B and C can finish a work in 8 days, 10 days and 12 days respectively. They worked together and get Rs. 740. How much will each of them get?

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 11
Given,

1 day work of A, B, & C is 1/8 , 1/10 & 1/12 respectively

therefore, Their share in money = 1/8 : 1/10 : 1/12 = 15 : 12 : 10

Sum of their share = 15 = 12 + 10 = 37

RRB JE ME (CBT I) Mock Test- 2 - Question 12

A room 8 m long, 6 m broad and 3 m height has two windows 1 1⁄2 m × 1 m and a door 2 m × 1 1⁄2 m. Find the cost of papering the walls with paper 50 cm wide at 25 paise per meter.

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 12
Area of walls = 2(length + breadth) x height

= 2(8 + 6) x 3 = 84 m2

Area of two windows and a door

∴ Area to be covered = 84 - 6

= 78m2

Area of paper = Area to be covered = 78

⟹ (length x breadth) of paper 78

= 156 m

RRB JE ME (CBT I) Mock Test- 2 - Question 13

Two circles with radii R and r touch each other externally. A direct common tangent with length l is drawn to the circles. Which is true?

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 13
Length of direct common tangent l2 = d2 – (R – r)2

Here, d = R + r

Therefore, l2 = (R + r)2 – (R – r)2 = 4Rr

RRB JE ME (CBT I) Mock Test- 2 - Question 14

A certain sum, invested at 4% per annum at compound interest, compounded half-yearly, amounts to Rs. 7,803 at the end of one year. Find the sum.

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 14
Let the sum be Rs. P.

As the interest is compounded half-yearly,

∴ R = 2% T, = 2 half years

Alternatively:-

If interest is compounded half-yearly rate will be 2%

C.l. for 2 years = 4.04%

RRB JE ME (CBT I) Mock Test- 2 - Question 15

Read the following bar graph which represents a company's manufacturing and selling(in lakh) of product from 2002 to 2008 and answer the following questions.

The number of items manufactured in 2007 is what percent of the total number of items manufactured in all the years together? (Rounded off to two digits after decimal)?

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 15

RRB JE ME (CBT I) Mock Test- 2 - Question 16

Find the measure of an angle which is a complement of 50°.

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 16
Let the measure of angle = x°

measure of its complement = 50°

∴ x° + 50°= 90° ⇒ x° = 40°

RRB JE ME (CBT I) Mock Test- 2 - Question 17

If sin (10° 6’ 32") = a, then the value of cos (79° 53’ 28”) + tan (10° 6’ 32”) is:

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 17
cos° 79 53' 28'' + tan 10° 6' 32''

RRB JE ME (CBT I) Mock Test- 2 - Question 18

If cos T = 3/5 and if sin R = 8/17, where T is in the fourth quadrant and R is in the second quadrant, then cos (T-R) is equal to:

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 18

We have

cos T = 3/5

(since T is IV quadrant)

(since R is II quadrant)

Now, cos (T-R) = cos T cos R + sin T sin R

RRB JE ME (CBT I) Mock Test- 2 - Question 19

There are 13 white and 7 black balls in a bag. Two balls are drawn at random. What is the probability that they are of the same colour?

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 19

Probability that both balls are of the same colour =

RRB JE ME (CBT I) Mock Test- 2 - Question 20

The ratio between the angles of a quadrilateral is 3:4:6:7. Half of the smallest angle of a quadrilateral is the angle of a cyclic quadrilateral. Find another angle of the cyclic quadrilateral?

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 20
Let smallest angle is 3x

So,

3x + 4x + 6x + 7x = 360°

Smallest angle = 54°

According to given condition one angle of Cyclic quadrilateral = 27°

Another = 180 – 27 = 153°

RRB JE ME (CBT I) Mock Test- 2 - Question 21

A, B and C divide an amount of Rs. 9,915 amongst themselves in the ratio 3:5:7 respectively. What is the C’s share in the amount?

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 21
A : B : C

3 : 5 : 7

Sum of their ratio = 3 + 5 + 7

= 15 units

Share of C = 7/15 × 9915 = 4,627

RRB JE ME (CBT I) Mock Test- 2 - Question 22

60 boys working 7 hours a day can do work in 18 days. In how many days will 28 boys working 9 hours a day do the same work?

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 22
Using the formula M1D1H1W2 = M2D2H2W1

Since work is the same for the two cases

M1D1H1 = M2D2H2

RRB JE ME (CBT I) Mock Test- 2 - Question 23

What should come in place of the question mark (?)?

(833.25 – 384.45) ÷ 24 = ?

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 23
(d) ? = (833.25–384.45)/24 = 448.8/24 = 18.7
RRB JE ME (CBT I) Mock Test- 2 - Question 24

The average of three numbers is 135. The largest number is 195 and the difference between the other two is 20. The smallest number is:

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 24
According to the question,

195+ x + x + 20 = 135 x 3

⟹ 2x + 215 = 405

⟹ 2x = 405 - 215 = 190

∴ x = 190/2 = 95

= smallest number

RRB JE ME (CBT I) Mock Test- 2 - Question 25

Distance between the parallel lines 3x + 4y – 15 = 0 and 9x + 12y – 20 = 0 is

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 25
3x + 4y - 15 = 0

Or 9x + 12y - 45 = 0 --------- (1)

and 9x + 12y - 20 = 0 --------- (2)

The distance between two parallel lines

ax + by + c1 = 0 and ax + by + C2 = 0 is

= 25/15 = 5/3 units

RRB JE ME (CBT I) Mock Test- 2 - Question 26

In a container of 56 litres the ratio of petrol to oil is 6:1. How much oil must be added to the mixture to make this ratio 2:1?

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 26
Quantity of petrol = (6/7) x 56 = 48 Litre

Quantity of oil = (1/7) x 56 = 8 litre

Given, New Ratio = 48/8+x = 12

48 = 16 + 2x

2x = 48 – 16

2x = 32

x = 16

16 litre is to be added

RRB JE ME (CBT I) Mock Test- 2 - Question 27

'A' starts a business with ₹ 3,500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2:3 what is B's contribution to the capital?

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 27
Let B's investment be Rs x then

⟹ 6000 x 3 = 2x

⟹ x = ₹9,000

RRB JE ME (CBT I) Mock Test- 2 - Question 28

If a = 12, b = 13 and c = 14, then the value of b² c² + c² a² + a² b² – a⁴ – b⁴ – c⁴ is.

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 28
b² c² + c² a² + a² b² – a⁴ – b⁴ – c⁴

= −12(2a⁴ + 2b⁴ + 2c⁴ – 2a² b² – 2b² c² – 2c² a²)

= −12[(a² − b²)² + (b² – c²)² + (c² – a²)²]

= −12[(144 − 169)² + (169 – 196)² + (196 – 144)²]

= −12[( −25)² + (27)² + (52)²] = –2029

RRB JE ME (CBT I) Mock Test- 2 - Question 29

The midpoint of the line segment joining (3,-8) and (x + 2, -2) is (4, -5). What is the value of X?

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 29
Midpoint of (x1, y1) and (x2, y2)

X = (x1 + x2)/2

4 = (3 + x + 2)/2

⇒ (x+5)/2 = 4 ⇒ x = 3

RRB JE ME (CBT I) Mock Test- 2 - Question 30

A man saves 25% of his salary. If due to price rise he increases his monthly expenses by 25% and he is able to save only Rs. 25 per month. Find his monthly salary.

Detailed Solution for RRB JE ME (CBT I) Mock Test- 2 - Question 30
Expenses before price rise = 100-25 = 75

25% increase in expenses = 100+25

= Rs. 125

Monthly expenses

= 375/4

If saving is 25/4 then salary = 100

If saving is 25 then salary

= Rs. 400

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