RRB NTPC Mock Test - 20 (English) - RRB NTPC/ASM/CA/TA MCQ

# RRB NTPC Mock Test - 20 (English) - RRB NTPC/ASM/CA/TA MCQ

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## 30 Questions MCQ Test RRB NTPC Mock Test Series 2025 - RRB NTPC Mock Test - 20 (English)

RRB NTPC Mock Test - 20 (English) for RRB NTPC/ASM/CA/TA 2024 is part of RRB NTPC Mock Test Series 2025 preparation. The RRB NTPC Mock Test - 20 (English) questions and answers have been prepared according to the RRB NTPC/ASM/CA/TA exam syllabus.The RRB NTPC Mock Test - 20 (English) MCQs are made for RRB NTPC/ASM/CA/TA 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for RRB NTPC Mock Test - 20 (English) below.
Solutions of RRB NTPC Mock Test - 20 (English) questions in English are available as part of our RRB NTPC Mock Test Series 2025 for RRB NTPC/ASM/CA/TA & RRB NTPC Mock Test - 20 (English) solutions in Hindi for RRB NTPC Mock Test Series 2025 course. Download more important topics, notes, lectures and mock test series for RRB NTPC/ASM/CA/TA Exam by signing up for free. Attempt RRB NTPC Mock Test - 20 (English) | 120 questions in 90 minutes | Mock test for RRB NTPC/ASM/CA/TA preparation | Free important questions MCQ to study RRB NTPC Mock Test Series 2025 for RRB NTPC/ASM/CA/TA Exam | Download free PDF with solutions
RRB NTPC Mock Test - 20 (English) - Question 1

### A trapezium based prism with two parallel sides 8 cm and 14 cm respectively and distance between two parallel sides is 8 cm. Find the height of the prism if the volume of the prism is 1056 ?

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 1

Volume of prism = (Base area) × height.

Base Area = Area of trapezium
= 1/2(8 + 14) × 8 = 88
∴ 1056 = 88 × height

RRB NTPC Mock Test - 20 (English) - Question 2

### The base of a right prism is an equilateral triangle. If its height is one-fourth and each side of the base is tripled, then the ratio of the volumes of the old to the new prism is

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 2

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RRB NTPC Mock Test - 20 (English) - Question 3

### The maximum value of 24 sin θ + 7 cos θ is?

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 3

y = 24 sin x + 7 cos x

dy/dx = 24 cos x - 7 sin x = 0

7 sin x = 24 cos x, or

sin x / cos x = 24/7

Or sin x = 24/(24^2+7*2)^0.5 = 24/(576+49)^0.5 = 24/25 and cos = 7/25.

Thus the max value of y = 24*24/25 + 7*7/25

= (576+49)/25

= 625/25

RRB NTPC Mock Test - 20 (English) - Question 4

Find the maximum value of :

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 4

RRB NTPC Mock Test - 20 (English) - Question 5

A sum of money triples itself in 15 years 6 months. In how many years would it double itself?

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 5

RRB NTPC Mock Test - 20 (English) - Question 6

A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 6

RRB NTPC Mock Test - 20 (English) - Question 7

A money lender finds that due to a fall in the annual rate of interest from 8% to 73/4%, his yearly income has diminished by Rs 61.50. What is his capital amount?

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 7

Let Capital invested is X

X(8%-7.75%)= 61.50

X = 61.50/.0025= Rs. 24,600/-

Income when interest rate is 8%

24600* 8%= 1968

Interest when interest reduced to 7.75%

24600 * 7.75% = 1906.5

Difference Amount Rs. 61.5

Therefore Capital Amount is Rs. 24,600/-

RRB NTPC Mock Test - 20 (English) - Question 8

A train X starts from Meerut at 4 p.m. and reaches Ghaziabad at 5 p.m. while another train Y starts from Ghaziabad at 4 p.m. and reaches Meerut at 5.30 p.m. The two trains will cross each other at:

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 8

Suppose, the distance between Meerut and Ghaziabad is x km.
Time taken by X to cover x km = 1 hour.

RRB NTPC Mock Test - 20 (English) - Question 9

Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 9

RRB NTPC Mock Test - 20 (English) - Question 10

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 10

Let the length of the train be x metres and its speed by y m/sec.

RRB NTPC Mock Test - 20 (English) - Question 11

At what price should a shopkeeper mark a radio that costs him Rs. 1200 in order that he may offer a discount of 20% on the marked price and still make a profit of 25%?

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 11

RRB NTPC Mock Test - 20 (English) - Question 12

Two shopkeepers announce the same price of Rs. 700 for a sewing machine. The first offers successive discounts of 30% and 6% while the second offers successive discounts of 20% and 16%. The shopkeeper that offers better discount, charges ………… less than the other shopkeeper.

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 12

RRB NTPC Mock Test - 20 (English) - Question 13

In a triangle ABC, the lengths of the sides AB and AC equal 17.5 cm and 9 cm respectively. Let D be a point on the segment BC such that AD is perpendicular to BC. If AD = 3 cm, then what is the radius (in cm) of the circle circumscribing the triangle ABC?

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 13

RRB NTPC Mock Test - 20 (English) - Question 14

Which of the following can’t be the ratio of the sides of a triangle.

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 14

We know that sum of the two side are always greater than third side.
Now, if we consider option (b)
The ratio of the sides of a triangle , 1 : 3 : 6 side of a triangle x, 3x, & 6x but here x + 3x < 6x
So, 1 : 3 : 6 can’t be the ratio of side of a triangle.

RRB NTPC Mock Test - 20 (English) - Question 15

The marked price of an article is 20% more than its cost price. A discount of 20% is given on the marked price. In this kind of sale, the seller bears

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 15

% gain or loss = 20-20+(20 (-20))/100 = 4% loss

RRB NTPC Mock Test - 20 (English) - Question 16

A shopkeeper fixed a price of an article 25% more of its cost price and then allowed 10% discount. The actual profit percent is

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 16

Profit percent = 25-10+(25 (-10))/100 = 12.5%

RRB NTPC Mock Test - 20 (English) - Question 17

After allowing a discount of 16%, there was still a gain of 5%. Then the percentage of marked price over the cost price is

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 17

If C.P. is Rs. 100 then S.P. = Rs.105 So, marked price 84/100 = 105 So, marked price = (105*100)/84 =125 So, marked price is 25% over the cost price

RRB NTPC Mock Test - 20 (English) - Question 18

A man invests half of his capital at the rate of 10% per annum, one-third at 9% and the rest at 12% per annum. The average rate of interest per annum,  which he gets is :

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 18

RRB NTPC Mock Test - 20 (English) - Question 19

Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years ?

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 19

RRB NTPC Mock Test - 20 (English) - Question 20

A contractor undertakes to build a wall in 40 days. He employs 50 people for the same. However, after 20 days he finds that only 40% of the work is completed. How many more man need to be employed to complete the work in time?

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 20

According to the given information, 50 men completed 0.4 work in 20 days and (M + 50) men should complete the remaining 1 – 0.4 = 0.6 work in remaining time i.e. 40 – 20 = 20

RRB NTPC Mock Test - 20 (English) - Question 21

Anita and Bindu can finish a work in 10 days while Bindu and Chitra can do it in 18 days. Anita started the work, worked for 5 days, then Bindu worked for 10 days and the remaining work was finished by Chitra in 15 days. In how many days could Chitra alone have finished the whole work?

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 21

Let Chitra alone can finish a work in Days. !lso !’s 5 days work + B’s 10 days work + C’s 15 days’ work equals the total work.
⇒ (! + B)’s 5 days work + (B + C)

RRB NTPC Mock Test - 20 (English) - Question 22

A man is twice as fast as a woman. Together the man and the woman do the piece of work in 60 days. In how many days each will do the work if engaged alone?

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 22

Let one women is one unit then man will be 2 units and 3 units finished the work in 60 days hence one units will finish the work in 180 days therefore woman will take 180 days and man will take 90 days being twice efficient as compared to woman.

RRB NTPC Mock Test - 20 (English) - Question 23

The cost price of 10 articles is equal to the selling price of 9 articles. Find the profit percent.

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 23

RRB NTPC Mock Test - 20 (English) - Question 24

If a man estimates his loss as 20% of the selling price, then his loss percent is

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 24

RRB NTPC Mock Test - 20 (English) - Question 25

A dishonest milkman sells milk at cost price but he mixes water and earns 16 % profit. Find the ratio of mixture to milk in the mixture?

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 25

Let C.P. of 1 litre milk = 10/-
bought milk = x litre then C.P. = 10x
Let water mixed in milk = y litre
then quality = (x + y) litre
Mixture is sold on C.P.
then S.P. = 10 (x + y)
= 10x + 10y
profit = S.P. – C.P. = (10x + 10y) – (10x)= 10y

RRB NTPC Mock Test - 20 (English) - Question 26

What is the LCM of (6x3 + 60x2 + 150x) and (3x4 + 12x3 – 15x2)?

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 26

RRB NTPC Mock Test - 20 (English) - Question 27

If HCF of (x2 + x – 12) and (2x2 – kx – 9) is (x – k), then value of k is

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 27

∵ x – k is a factor of 2x2 – kx – 9
∴ 2k2 – k2 – 9 = 0
∴ k = ± 3
But factor of (x2 +x - 12) are (x+4),(x-3) Hence value of k is 3.

RRB NTPC Mock Test - 20 (English) - Question 28

If (3x3 – 2x2y – 13xy2 + 10y3) is divided by (x – 2y), then what is the remainder?

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 28

Required remainder = 3(2y)3 – 2 (2y)2 y – 13 (2y) y2 + 10y3 (using factor theorem) = 24y3 – 8y3 – 26y3 + 10y3 = 34y3 – 34y3 = 0

RRB NTPC Mock Test - 20 (English) - Question 29

Two numbers are such that the sum of twice the first number and thrice the second number is 36 and sum of thrice the first number and twice the second number is 39. Which is the smaller number?

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 29

Let the numbers be x and y
2x + 3y = 36
3x + 2y = 39
4x + 6y = 72

RRB NTPC Mock Test - 20 (English) - Question 30

If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is:

Detailed Solution for RRB NTPC Mock Test - 20 (English) - Question 30

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