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RRB ALP & Technician Mock Test (English) - 22 - Railways MCQ


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30 Questions MCQ Test - RRB ALP & Technician Mock Test (English) - 22

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RRB ALP & Technician Mock Test (English) - 22 - Question 1

The flow of water through a pipe of radius 28cm into a rectangular tank which is 400m long and 176 m wide is 20 km/hr. In what time the water level will rise by 56 cm. 

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 1

Let time taken to increase the level of tank by 56 m =‘t’ hours.

The volume of pipe contains the water, has speed of water = Height of pipe.

Volume of Pipe = 22/7 × (28/100)² × 20,000

Volume of pipe × n = 400 × 176 × 56/100 22/7 × (28/100)² × 20,000 × t

= 400 × 176 × 56/100

Therefore, t = 8 hours

RRB ALP & Technician Mock Test (English) - 22 - Question 2

A swimming pool has two pipes one can fill it with water in 32 hours and other can empty it in 12 hours. In how many hours will the swimming pool be emptied if both the pipes are opened together when 3/8th of the swimming pool is already filled with water? 

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 2

If both pipes are open, then total units per hour empty the swimming pool (P - Q) = 3 - 8 = - 5 units

According to question,

Swimming pool has 3/8th of its total capacity in the beginning 3/8 × 96 = 36 units

Time taken to empty the swimming pool = 36/ (-5) = 7 (1/5) hour

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RRB ALP & Technician Mock Test (English) - 22 - Question 3

Find the wrong number in the given number series:

20 9 10 17 29 71.5

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 3

RRB ALP & Technician Mock Test (English) - 22 - Question 4

If the speed of a boat in still water is 60 km/h. If the boat travels 180 km along the stream in 2 hours 30 minutes, then the time taken by it to cover the same distance against the stream will be?

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 4

Let the speed of the current be ‘x’ km/h

Rate Downstream = (x + 60) km/h

According to the question,

180/(x + 60) = 2 hours 30 minutes 180/(x + 60) = 5/2 hours

(x + 60) = 72

Therefore, x = 12 km/hr Rate

Upstream = 60 – 12 = 48 km/hr

Required time = 180/48 = 3 hours 45 minutes

RRB ALP & Technician Mock Test (English) - 22 - Question 5

How many words can be formed the word AMAZON in which both A’s do not come together?

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 5

Total number of letters in the word AMAZON is 6.

Total number of ways = 6!/2!

Number of ways when 2 A’s are together = (5! × 2!)/ 2! = 120

Therefore, Number of ways when 2 A’s are not together = 360 – 120 = 240

RRB ALP & Technician Mock Test (English) - 22 - Question 6

If 35% of 40% of 7/5 of a number is 980, then what is 25% of 3/2of that number? 

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 6

Let the number be ‘a’

35/100 × 40/100 × 7/5 × a = 980

a = 5000

Therefore, required answer = 25% of 3/2 of 5000 = 1875

RRB ALP & Technician Mock Test (English) - 22 - Question 7

Directions -
In the following 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. Read both the statements and give answer.

Q. What is the speed of a motorboat in still water?

I. The motorboat covers a distance of 140 km in 4 hours while running upstream.
II. It covers the same distance in 3 hours 30 minutes while running downstream.

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 7

From I and II

Let the speed of the motorboat be a km/hr

Speed of the stream be b km/hr

Speed of upstream a - b= 140/4 = 35 ……(i)

Speed downstream a + b = 140/ 3(1/2) = 40 …….(ii)

Solving (i) and (ii),

we get a= 37.5 km/hr and b = 2.5 km/hr

RRB ALP & Technician Mock Test (English) - 22 - Question 8

The number 711711711711711711711 is Divisible by

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 8

Clearly, we can see that it is not divisible by 7 and

(Sum of digits at odd places) – (sum of digits at even places) = 35 – 28 = 7

Therefore, Given number is not divisible by 11.

RRB ALP & Technician Mock Test (English) - 22 - Question 9

The flagstaff of 9 meters high, is placed on the top of a tower makes a shadow of 3√3 m eters along the ground, then find the angle that the sun makes with the ground.

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 9

Let a = height of the tower & b = length of the shadow of the tower

Then, tan (x) = a/b

= (9 + a)/3√3 + b

= 3√3a = 9b

= a/b = 9/3√3

Therefore, a/b = √3 Tan (x) = tan 60°

so x = 60

RRB ALP & Technician Mock Test (English) - 22 - Question 10

The average age of a husband and wife, who were married 8 years ago, was 30 years at the time of their marriage, Now, the average age of the family, including husband, wife and a child, born during the interval, is 26 years. What is the present age of the child? 

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 10

Total age 8 years ago = 30 × 2 = 60 years

Total age today = 60 + 8 × 2 = 76 years

Total age after child was born = 76 + a

Therefore, average age = (76 + a)/3 = 26 Now, 76 + a = 78

Therefore, a = 2 years

RRB ALP & Technician Mock Test (English) - 22 - Question 11

If a = (√3 + 1) and b = (1 - √3), then find the value of (a² + b² + ab).

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 11

(a² + b² + ab) = a² + b² + 2ab – ab

= (a + b)² - ab

= (√3 + 1 + 1 - √3)² – (√3 + 1)(1 - √3)

= 2² - (- 3 + 1)

= 4 + 2

= 6

RRB ALP & Technician Mock Test (English) - 22 - Question 12

A conical vessel, whose internal radius is 7cm and height is 24cm, is full of milk. If the milk is poured into a cylindrical vessel with internal radius 14cm, find the height to which the milk rises in it.

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 12

Let the height up to which milk rises in cylindrical vessel = h cm

Then, Volume of cylinder = 22/7 × r² × h

Volume of cone = 1/3 × 22/7 × r² × h

Now,

22/7 × 14² × h = 1/3 × 22/7 × 7² × 24

Therefore, h = 2 cm

RRB ALP & Technician Mock Test (English) - 22 - Question 13

Ankush and Bharat working separately, can mow a field in 20 and 25 hours respectively. They work alternatively, each for one hour, with Ankush beginning at 6 am. At what time will the mowing can be done?

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 13

RRB ALP & Technician Mock Test (English) - 22 - Question 14

A pizza boy after travelling 75km meets with a travelling jam and then proceeds at 3/4 of its former speed and arrives at its destination 45 minutes late. Had the traffic jam occurred 48 km further, it would have reached the destination only 25 minutes late. The normal speed of the pizza boy is

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 14

RRB ALP & Technician Mock Test (English) - 22 - Question 15

An amount of Rs 34,000 is to be divided among Raja, Rani and Mahi in the ratio of 1/4: 5/16:1/2. Find the difference between the smallest and the greatest parts.

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 15

Raja: Rani: Mahi = 1/4: 5/16:1/2

Ratio = 4:5:8

Difference between greatest and smallest = 8x – 4x = 4x

Now, 4x + 5x + 8x = 34000

17x = 34000

Therefore, x = 2000

Required answer = 4x = 4 × 2000 = 8000

RRB ALP & Technician Mock Test (English) - 22 - Question 16

Praiksha and Mohit enters into a partnership investing Rs 8000 and Rs 12000 respectively. After 3 months, Pariksha withdrew Rs 2500, while Mohit invested Rs 2500 more. After 3 months more, Suvarna joins the business with a investment of Rs 10,500. After a year, they obtained a gain of Rs 30300. By what money does the share of Mohit exceeds the share of Suvarna?

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 16

Pariksha investment = 8000 × 3 + 5500 × 9 = 24000 + 49500 = 73500

Mohit investment = 12000 × 3 + 14500 × 9 = 36000 + 130500 = 166500

Suvarna investment = 10500 × 6 = 63000

Ratio’s of their investment = 49:111:42

Difference between Mohit and Suvarna = 111 – 42 = 69

Therefore, 69/202 × 30300 =Rs 10350

RRB ALP & Technician Mock Test (English) - 22 - Question 17

In an election two candidates participated. 15% voters did not vote. 20% declared invalid and the winner got 75% of the valid votes. If he won by 3400 votes, find the number of voters in the voting list.

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 17

Total numbers of voters be 100.

Numbers of voters who voted (85%) = 85

Number of valid votes = 85 × 80/100 = 68

Winning candidate got 75% of valid votes = 75/100 × 68 = 51

Looser got = 68 – 51 = 17

Difference between winning and losing candidates votes = 3400

51 – 17 = 3400

34 = 3400

100 = 3400/34 × 100 = 10,000

RRB ALP & Technician Mock Test (English) - 22 - Question 18

The perimeter of a rectangle is 300m. If the difference between the length and breadth of the rectangle is 10m, then what is the circumference of the largest circle that can be drawn inside the rectangle?

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 18

Perimeter = 2(l + b)

2(l + b) = 300 (l + b) = 150m

Now, b + 10 + b = 150

2b = 140

b = 70m

The largest circle drawn inside the rectangle will have diameter equal to the breadth of the rectangle.

Circumference of the circle = 22/7 × d

= 22/7 × 70

= 220 m

RRB ALP & Technician Mock Test (English) - 22 - Question 19

A solution contains 40L of pure milk. 25% of his this is taken out. Another 25% of the remaining solution is taken out and finally 25% of the contents left is taken out. The total content taken out replaced with water. Find the ratio of milk to water in the final solution.

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 19

Quantity of milk = 40L

When 25% solution is taken out =25/100 × 40 = 10 L

Remaining solution = 40 L – 10 L = 30 L

Now, again 25% of solution is taken out = 25/100 × 100 = 7.5 L

Remaining solution = 30 L – 7.5 L = 22.5 L

Now, further 25% of solution is taken out = 25/100 × 22.5 = 5.625 L

Remaining solution = 22.5 L – 5.625 L = 16.875 L

Total quantity taken out which is replaced by water = 40 L – 16.875 L = 23.125 L

Therefore, Required ratio = 23.125 : 16.875 = 37:27

RRB ALP & Technician Mock Test (English) - 22 - Question 20

If interior angle of any regular polygon is 160 degree. What is the number of sides of that polygon?

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 20

If interior angle = 160 So exterior angle = 180 - 160 = 20 = 360/N

or

N = 360 / 20 = 18

RRB ALP & Technician Mock Test (English) - 22 - Question 21

If each of the digits in the number 92475813 are arranged in ascending order, what is the difference between the digits which is fourth from the right and third from the left in the new arrangement?

RRB ALP & Technician Mock Test (English) - 22 - Question 22

In a certain code, SOUP is written as 5318 and DRIVE is written as 27649. How will PREVIOUS be written in that code?

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 22

RRB ALP & Technician Mock Test (English) - 22 - Question 23

B and C are brothers. D and E are sisters. B’s son H is E’s brother. C is unmarried. How is C related to D?

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 23

RRB ALP & Technician Mock Test (English) - 22 - Question 24

A man started from a place walked towards North for 7 m then turned 90° to his right and walked another 6 m. Then he turned 45° to his right and walked 4 m and turned 45° to his left. What is his direction now?

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 24

RRB ALP & Technician Mock Test (English) - 22 - Question 25

Choose the appropriate option that can replace the “?” sign in the relationship given.

5335 : 3553 : : 7557 : ?

RRB ALP & Technician Mock Test (English) - 22 - Question 26

Arrange the following words in a meaningful order.

A. Atom B. Electron/Proton/Neutron C. Molecule D. Compound

RRB ALP & Technician Mock Test (English) - 22 - Question 27

Which word will appear third in the dictionary?

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 27

The suitable order of words as per dictionary:

4. SCARE

2. SCIENTIFIC

3. SCORE

1. SCREW

RRB ALP & Technician Mock Test (English) - 22 - Question 28

The given word is followed by 4 responses, one of which cannot be formed by using the letters of the word given ‘SUSTAINABLE’. Find out the word.

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 28

There is no ‘M’ in the word ‘ SUSTAINABLE’.

RRB ALP & Technician Mock Test (English) - 22 - Question 29

In each of the following questions, select the missing number from the given responses.

Detailed Solution for RRB ALP & Technician Mock Test (English) - 22 - Question 29

RRB ALP & Technician Mock Test (English) - 22 - Question 30

Given below are capital letters in the first line and symbols in the second line. Symbols and letters are codes for each other. Choose the correct code for the given letters.

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