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RRB Group D Mock Test - 27 - Railways MCQ


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30 Questions MCQ Test - RRB Group D Mock Test - 27

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RRB Group D Mock Test - 27 - Question 1

The cost price of 10 items is equal to the selling price of 8 items. What is the profit percentage?

Detailed Solution for RRB Group D Mock Test - 27 - Question 1

Let SP of 1 item = 10/-

CP of 10 items = SP of 8 items = 80-/

CP of 1 item = 80/10 = 8/-

profit = 10-8 = 2/-

%profit = 2/8 x 100times 100 = 2582​×100=25%

So the answer is option B.

RRB Group D Mock Test - 27 - Question 2

If the average of scores of 3 players in 1 innings is 43.66, sum of the scores of least scorer and top scorer is 80. Then find the score of 3rd player ?

Detailed Solution for RRB Group D Mock Test - 27 - Question 2

Sum of their scores = 43.66*3 = 131

Given that Sum of scores of two players = 80

Then score of 3rd player = 131 - 80 = 51

So the answer is option D.

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RRB Group D Mock Test - 27 - Question 3

If a car is travelling at 40kmph, then what is the distance covered by it in 2hrs 45mins ?Report Question

Detailed Solution for RRB Group D Mock Test - 27 - Question 3

2hrs 45mins = 2\frac{3}{4}243​hrs = \frac{11}{4}411​hrs

Distance = speed*time = (40)*(11/4) = 110km

So the answer is option A.

RRB Group D Mock Test - 27 - Question 4

FInd cotθ+tanθ if sinθ = 5/13

Detailed Solution for RRB Group D Mock Test - 27 - Question 4


 

From the diagram, tanθ = 5/12, cotθ = 12/5

cotθ+tanθ = 12/5 + 5/12 = 169/60

So the answer is option C.

RRB Group D Mock Test - 27 - Question 5

Which of the following numbers is divisible by 11 ?

Detailed Solution for RRB Group D Mock Test - 27 - Question 5

To be divisible by 11, (sum of digits in odd places)-(sum of digits in even places) must be divisible by 11.

Lets check option A,

734867 => sum of digits in odd places = 7+4+6 = 17 & that of even places = 3+8+7 = 18, difference = 18-17 = 1 (not divisible by 11)

Lets check option B,

724867 => sum of digits in odd places = 7+4+6 = 17 & that of even places = 2+8+7 = 17, difference = 17-17 = 0 (divisible by 11)

So the answer is option B.

RRB Group D Mock Test - 27 - Question 6

M and N together can complete a job in 4 days, while only N can complete the same work in 6 days. Then find the no.of days taken by M alone to complete 50% of the work ?Report Question

Detailed Solution for RRB Group D Mock Test - 27 - Question 6

Assume total work = LCM of 4 & 6 = 12 units

Efficiency of M&N; = 12/4 = 3

Efficiency of N = 12/6 = 2

Efficiency of M = 3 - 2 = 1

Hence only M can complete 50% of work i,e; 12/2=6 units of work in 6/1 = 6 days

So the answer is option D.

RRB Group D Mock Test - 27 - Question 7

If   then find  ​?

Detailed Solution for RRB Group D Mock Test - 27 - Question 7


squaring on both sides

Again squaring on both sides

So the answer is option C.

RRB Group D Mock Test - 27 - Question 8

Find the height of the triangle in meters, if its area is 120 sq.cm & base is 12 cm ?

Detailed Solution for RRB Group D Mock Test - 27 - Question 8

RRB Group D Mock Test - 27 - Question 9

If  , then find 

Detailed Solution for RRB Group D Mock Test - 27 - Question 9

RRB Group D Mock Test - 27 - Question 10

Find the radius of the circumcircle of an equilateral triangle of side 6 cm ?

Detailed Solution for RRB Group D Mock Test - 27 - Question 10

RRB Group D Mock Test - 27 - Question 11

If hypotenuse of an isosceles right angled triangle is 7√2​m, then find the length of other sides of that triangle (in metres) ?

Detailed Solution for RRB Group D Mock Test - 27 - Question 11

Let other sides are a, a

So the answer is option B.

RRB Group D Mock Test - 27 - Question 12

Raghuram sells his car at a profit of 20% and his bike at a loss of 20%. The cost price of the bike is 20% of the cost price of the car. What is the overall profit or loss percentage ?

Detailed Solution for RRB Group D Mock Test - 27 - Question 12

Let cost price of car = 100/-

then CP of bike = 20% of 100 = 20/-

Cost price of car and bike = 100+20 = 120/-

SP of car = 1.2(100) = 120/-

SP of bike = (1-0.2)(20) = 16/-

SP of car and bike = 120+16 = 136/-

Profit = 136-120 = 16/-

Profit % =  \times 100 = 13.3312016​×100=13.33%

So the answer is option D.

RRB Group D Mock Test - 27 - Question 13

If a+ib = 0, where i =√−1​, then which of the following is true ?

Detailed Solution for RRB Group D Mock Test - 27 - Question 13

a+ib = 0

a+ib = 0+0i

on comparing those two, a = 0 and b = 0

So the answer is option D.

RRB Group D Mock Test - 27 - Question 14

If length of tangent drawn to a circle from a point which is at a distance of 13cm from the centre of the circle is 12cm , then find the radius of the circle ?

Detailed Solution for RRB Group D Mock Test - 27 - Question 14

From the diagram, 

So the answer is option A.

RRB Group D Mock Test - 27 - Question 15

A footpath of uniform width is constructed around a square field of side 6 m. The area of the foot path is 28 sq.m. Then find the width of the footpath ?

Detailed Solution for RRB Group D Mock Test - 27 - Question 15


 

Let x be the width of the path

Area of square filed = 36 sq.m

Then side of the square = 6m

Total area = 36+28 = 64sq.m

(6+2x)(6+2x) = 64

(6+2x)(6+2x) = 8*8

6+2x = 8

x = 1

So the answer is option C.

RRB Group D Mock Test - 27 - Question 16

Find the ratio of the volume of a sphere of radius 4cm, to that of a sphere of radius 6 cm ?

Detailed Solution for RRB Group D Mock Test - 27 - Question 16

RRB Group D Mock Test - 27 - Question 17

If p, qp,q are the roots of the equation 

Detailed Solution for RRB Group D Mock Test - 27 - Question 17

RRB Group D Mock Test - 27 - Question 18

If m and n are the total surface area and curved surface area of a sphere of radius r, then what is the relation between m and n?

Detailed Solution for RRB Group D Mock Test - 27 - Question 18

For sphere,

Total surface area = curved surface area

So m = n is the right answer,

So the answer is option B.

RRB Group D Mock Test - 27 - Question 19

Train A of length 300m and Train B of length 600m are travelling with 35kmph and 55kmph respectively. Find the time taken by them to cross each other if they are moving in opposite direction ?

Detailed Solution for RRB Group D Mock Test - 27 - Question 19

relative speed = 35+55 = 90 kmph = 90*(5/18) = 25 m/s

Time taken to cross each other =

So the answer is option C.

RRB Group D Mock Test - 27 - Question 20

The four walls of a house of height 5m, width 7m, length 10m, are to be painted. Assume that the ceiling and floor are not to be painted. Find the cost of painting if painter charges Rs.2 per sq.m ?Report Question

Detailed Solution for RRB Group D Mock Test - 27 - Question 20

Surface area of 4 walls of a enclosed room = [2l+2b]*h = [2(10)+2(7)]*(5) = [34]*5 = 170 sq.m

Cost of painting of 1 sq.m = 2/-

Cost of painting of 170 sq.m = 170*2 = 340/-

So the answer is option D.

RRB Group D Mock Test - 27 - Question 21

Choose the option which has the same relation with the second word as displayed by the first pair.D:P :: E: ?

Detailed Solution for RRB Group D Mock Test - 27 - Question 21

The relation which is displayed by the first set of letters is that the numerical position of the second letter is square of the numerical position of the first letter.
So we have D = 4 and P = 16
Using the same logic, we know that E = 5. Hence, the required word must be square of 25 which gives Y.
Thus, option C is the correct answer.

RRB Group D Mock Test - 27 - Question 22

Three of the following four things share a common characteristic. Choose the odd one out.

Detailed Solution for RRB Group D Mock Test - 27 - Question 22

Lion, Cat and Tiger belong to the same feline family. Hence, Horse is the odd one out. Thus, option D is the correct answer.

RRB Group D Mock Test - 27 - Question 23

Arrange the following words in the order in which they will appear in a dictionary.
1. Abandon
2. Abstract
3. Academic
4. Absolute
5. Accident

Detailed Solution for RRB Group D Mock Test - 27 - Question 23

‘b’ comes before ‘c’ and ‘a’ comes before ‘s’. Hence, ‘abandon’ will be the first word in the dictionary. Now ‘o’ comes before ‘t’. Hence, ‘absolute’ will come before ‘abstract’. ‘a’ comes before ‘c’ and so academic will come before ‘accident’. Thus, the correct order will be 1, 4, 2, 3, 5.

RRB Group D Mock Test - 27 - Question 24

Identify the term which will come next in the following number series.11, 15, 51, 87, 312, ?

Detailed Solution for RRB Group D Mock Test - 27 - Question 24

The pattern which is being followed is that the square of the sum of the digits of the number is being added to the number to get the next number. For example, 11 + 2^2 = 1511+22=15
15 + 6^2 = 5115+62=51
51 + 6^2 = 8751+62=87
87 + 15^2 = 31287+152=312
Hence, using the same logic the next term will be 
312 + (3+1+2)^2 = 348312+(3+1+2)2=348
Hence, option B is the correct answer.

RRB Group D Mock Test - 27 - Question 25

How many meaningful words can be formed using all the letters of the word a, e, m, n?

Detailed Solution for RRB Group D Mock Test - 27 - Question 25

The words which can be formed using the letters a, e, m, n are
name, mean, amen and mane. Hence, there are 4 words which can be formed. Thus, option B is the correct answer.

RRB Group D Mock Test - 27 - Question 26

In a certain language, ‘BRACE’ is coded as ‘CQBBF’ and ‘WRONG’ is coded as ‘XQPMH’. How will ‘GIGANTIC’ be coded in the same language?

Detailed Solution for RRB Group D Mock Test - 27 - Question 26

The pattern which is being followed in the given words is that the letters at the odd positions are being replaced by the letters which succeed them in English alphabets while the letters at even positions are being replaced by the letters which precede them in the english alphabets. For example
B and W are first letters (odd positions), hence they have been replaced with C and X. Similarly R is at even position and hence, it has been replaced with Q. 
Using the same logic, the code word for GIGANTIC will be HHHZOSJB

RRB Group D Mock Test - 27 - Question 27

If P represents ‘*’, Q represents ‘+’, R represents ‘-‘ and S represents ‘/’, what is the value of 6 P 2 R 9 S 3 Q 4

Detailed Solution for RRB Group D Mock Test - 27 - Question 27

6 P 2 R 9 S 3 Q 4 = 6 * 2 - (9 / 3) + 4 = 12 - 3 + 4 = 13
Hence, option A is the right answer.

RRB Group D Mock Test - 27 - Question 28

Select the missing number ‘?’ from the given options.

Detailed Solution for RRB Group D Mock Test - 27 - Question 28

(6 * 7) - 3 = 39
(9 * 3) - 5 = 22
(13 * 4) - ? = 37
? = 52 - 37 = 15
Hence, option B is the right choice.

RRB Group D Mock Test - 27 - Question 29

Some statements are given below. Consider these statements to be true even if they seem to be at variance with the commonly observed facts. Two conclusions are given after the statements. You have to decide which of the options logically follow from the given statements and then choose the correct answer accordingly.
 

Statements:
I. Some apples are mangoes
II. Some mangoes are guavas
III. All guavas are tomatoes
IV. All tomatoes are red

Conclusions:
I. Some apples are red
II. No mango is red

Detailed Solution for RRB Group D Mock Test - 27 - Question 29

Some apples are mangoes and some mangoes are guavas. All guavas are tomatoes. Hence, some mangoes must be tomatoes. Hence, some mangoes can be red as well. Thus, II can cannot be true.
I is not necessarily true as apples need not necessarily be red. Hence neither I nor II follows.

RRB Group D Mock Test - 27 - Question 30

In each of the following question select the related numbers/words/letters from the given options.12 : 147 : : 17 : ?Report Question

Detailed Solution for RRB Group D Mock Test - 27 - Question 30

12^2 + 1 + 2 = 147
So, 17^2 + 1 + 7 = 297
Hence, option B is the right answer.

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