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Railways Exam  >  Railways Tests  >  RRB ALP & Technician Mock Test (English) - 21 - Railways MCQ

RRB ALP & Technician Mock Test (English) - 21 - Railways MCQ


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30 Questions MCQ Test - RRB ALP & Technician Mock Test (English) - 21

RRB ALP & Technician Mock Test (English) - 21 for Railways 2024 is part of Railways preparation. The RRB ALP & Technician Mock Test (English) - 21 questions and answers have been prepared according to the Railways exam syllabus.The RRB ALP & Technician Mock Test (English) - 21 MCQs are made for Railways 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for RRB ALP & Technician Mock Test (English) - 21 below.
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RRB ALP & Technician Mock Test (English) - 21 - Question 1
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What will be the lateral surface area of frustum of a cone, if the area of base is 64 ∏ m ² and radius of upper one is 6m and slant height is 10m?

Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 1

Lateral surface area of frustum of a cone = ∏ (R + r) × slant height

Area of base = ∏ r² = 64∏ m²

Therefore, r = 8m

So, lateral surface area = ∏ (8 + 6) 10 = 140∏ m²

RRB ALP & Technician Mock Test (English) - 21 - Question 2
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If M be the volume of cone and N be the curved surface area of a cone of dimensions p, q and r where p is the radius, q is the height and r is the slant height of a cone, then 1/M is equal to

Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 2

Since, M = 1/3 ∏ r² h = 1/3 ∏ p² q

and N = ∏rl = ∏pr

Now, N/M = ∏pr/ 1/3 ∏ p² q

Therefore, 1/M = 1/N [3r/p q]

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RRB ALP & Technician Mock Test (English) - 21 - Question 3
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A building alpha casts a shadow 75m at the same time when the building gamma casts a shadow 60m long on the field. If the height of the gamma building is 40m, what will be the height of the building alpha?

Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 3

Let the height of building alpha be x metre

Then, x : 75 = 40 : 60

x/75 = 40/60

Therefore, x = 50m

RRB ALP & Technician Mock Test (English) - 21 - Question 4
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The weight of two container P and Q are in the ratio of 5:4. Weight of P increased by 20% and the total weight of P and Q together becomes 150 kg, with an increase of 25%. By what percent did the weight of Q increases?
RRB ALP & Technician Mock Test (English) - 21 - Question 5
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The radius of gyser (in the shape of cylinder) is 20m and its height is 15m. Initially the gyser is empty. When we start filling the gyser with the water through pipe whose diameter is 40cm. Water coming out of pipe with a velocity of 10m/sec. How many minutes will it take in filling the gyser with water?
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 5

Required time = H = ( 20² × 15 )/(0.20 × 0.20 × 60 × 10) = 250 minutes

RRB ALP & Technician Mock Test (English) - 21 - Question 6
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Which of the following is the highest? (You are not expected to calculate the exact value).
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 6

RRB ALP & Technician Mock Test (English) - 21 - Question 7
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30 boys can do a piece of work in ‘a’ days. 42 girls can do a piece of work in ‘a – 4’ days. 70 boys can do a piece of work in ‘b’ days and 126 girls can do a piece of work in ‘b – 4’ days. Find the value of ‘a’?
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 7

30 boys can complete the work in ‘a’ days

1 boy can complete the work in ‘30a’ days … (i)

42 girls can complete the work in (a – 4) days 1 girl can complete the work in 42(a – 4) days …(ii) and

Also, 70 boys can complete the work in ‘b’ days 1 boy can complete the work in ’70 b’ days … (iii)

126 girls can complete the work in ‘(b – 4)’ days 1 girl can complete the work in 126 (b – 4) days …(iv)

Equate (i) & (iii) and (ii) & (iv)

30a = 70b ⇒ a/b = 7/3 ⇒ b = 3/7 a … ..(v)

42(a – 4) = 126 (b – 4) ⇒ a – 4 = 3b – 12 ⇒ 3b – a = 8 … (vi)

Using (v) and (vi)

3[(3/7) a] – a = 8 9a/7 – a = 8

⇒ a = 8 × 7/2 = 28 days

RRB ALP & Technician Mock Test (English) - 21 - Question 8
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Cost price of jeans is double than that of shirt and shopkeeper mark up both the article 25% higher than the cost price. If at the time of sale shopkeeper gave Rs. 15 discount and earn 20% profit on total. Find the cost price of jeans?
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 8

Let the C.P of jeans = 2x

C.P of shirt = x

Total cost price = Rs 3x

Marked price = 3x × 125/100 = Rs 3.75x

According to question,

3.75x – 15 = 3x × 1.20 3.75x – 3.6x = 15 0.15x = 15

Therefore, x = 100

Cost price of Jeans = 2 × 100 = Rs 200

RRB ALP & Technician Mock Test (English) - 21 - Question 9
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Kamayani married 5 years back. Today her age is 4/3 times her age at the time of her marriage and her daughter is 1/4 of her age. Find the ratio of Kamayani age to her dauhgter’s age after 8 years? 
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 9

Let the present age of Kamayani = x years

According to questions,

x = 4/3 (x – 5)

3x = 4x – 20

Therefore, x = 20 years

Present age of Kamayani’s daughter = 20/4 = 5 years

Now, required ratio = (20 + 8):(5 + 8) = 28:13

RRB ALP & Technician Mock Test (English) - 21 - Question 10
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A bus crosses a pole in 15 sec. Another bus of same length crosses a bus station in 20 sec with a speed 25% more than the first bus. Find out the ratio of length of bus and length of bus station.
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 10

Let length of bus and bus station be ‘a’ and ‘b’ respectively

1st bus cross the pole = 15 sec

2nd bus (25% faster than first bus) Cross the pole = 15 × 4/5 = 12 sec (same length)

Time taken to cross bus station = 20 sec

According to the question,

a + b/20 = a/12

12a + 12b = 20a

8a = 12b

a/b = 12/8

a : b = 3:2

RRB ALP & Technician Mock Test (English) - 21 - Question 11
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What will come in place of the question mark (?) in the following number series?

24       13          21.5          ?            202.625          916.8125
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 11

24 × 0.5 + 1 = 13

13 × 1.5 + 2 = 21.5

21.5 × 2.5 + 3 = 56.75

56.75 × 3.5 + 4 = 202.625

202.625 × 4.5 + 5 = 916.8125

RRB ALP & Technician Mock Test (English) - 21 - Question 12
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Paras takes loan of Rs. 40,000 on the condition that he would pay it in the monthly instalment of Rs. 5,000. He has to pay interest @ 16% on the outstanding balances, then what is the average rate of interest received by the creditor per annum.
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 12

Monthly instalment = Rs. 5000

Total loan = Rs. 40,000

Number of instalment = 40,000/5,000 = 8

Once the payment starts outstanding balances will go on diminishing.

Hence, from point of view of interest, principal = 40,000 + 35000 + 30,000 + 25,000 + 20,000 + 15,000 + 10,000 + 5000 = Rs 1,80,000

Interest on Rs. 1,80,000 for 1 month at 16% p.a. = (1,80,000 × 16 × 1)/(100 × 12) = Rs. 2,400

Average rate of interest = (100 × I)/(P × T)

Time = 8 months = 8/12 year

= 2400 × 100 × 12/ 40,000 × 8 = 9%

RRB ALP & Technician Mock Test (English) - 21 - Question 13
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A fruit vendor bought 500 bananas at Rs 25 per 10 bananas. 200 bananas got spoiled and hence thrown. He sold 12 dozen bananas at the rate of Rs 20 per dozen and the remaining at Rs 3 per banana. What is the approximate profit/loss percent? 
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 13

Cost Price of bananas = 500 × 25/10 = Rs 1,250

Remaining bananas = 500 – 200 = 300

Selling Price of bananas sold at Rs 20 per dozens = 20 × 12 = Rs 240

Selling Price of bananas sold at Rs 3 per banana = (300 – 12 × 12) × 3 = Rs 468

Total S.P = 240 + 468 = Rs 708

Loss % = [(1250 – 708)/1250] × 100 = 43.36%

RRB ALP & Technician Mock Test (English) - 21 - Question 14
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The difference between the selling price at a discount of 40% and that at two successive discounts of 20% and 10% is Rs. 132. Find the marked price of the laptop?
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 14

Let the Marked Price be x

In the first case, Selling Price at 40% discount = 60x/100

Single discount equivalent to 20% and 10% successive discounts = [20 + 10 – {(20 × 10)/100}] = 28%

Selling Price in the second case = 72x/100

Now, 72x/100 - 60x/100 = 132

12x/100 = 132

x = 100 × 132/12 = Rs. 1100

RRB ALP & Technician Mock Test (English) - 21 - Question 15
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Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 15

RRB ALP & Technician Mock Test (English) - 21 - Question 16
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65% of 8/13 of 7565 =? + 895
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 16

3026 =? + 895 ? = 2131

RRB ALP & Technician Mock Test (English) - 21 - Question 17
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What was the price of a Car last year?

I. The ratio of the price of two Car P to Q was 3:4 last year.
II. This year, the price of car P has increased by 20% and that of car Q by Rs 20,000.
III. This year the ratio of the price of car P to car Q is 4:5.
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 17

Let the price of two car A and B be 4x and 5x respectively

{3x × 120/100}/{4x + 20,000} = 4/5

18x = 16x + 80,000

18x – 16x = 80,000

2x = 80,000

x = 40,000

Last year the price of car P was 40,000 × 3 = Rs 1,20,000

Hence all the statements together are required to answer the question.

RRB ALP & Technician Mock Test (English) - 21 - Question 18
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14% of the voters in an election did not cast their votes. In the election, there were only two candidates. The winner by obtaining 46% of the total votes defeated his contestant by 810 votes. The total number of voters in the election were
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 18

Let the total numbers of voters be x

Vote cast = 86% of x =43x/50

Votes in favour of winning candidates = 46x/100 = 23x/100

Votes polled by defeated candidates = 43x/50 – 23x/50 = 20x/50

23x/50 – 20x/50 = 810

3x/50 = 810

x = 13,500

RRB ALP & Technician Mock Test (English) - 21 - Question 19
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A box contains 4 yellow, 3 green and 5 maroon pillow covers. If three covers are picked at random, what is the probability that either all are yellow or either all are maroon?
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 19

Total possible result = 12C3 = 220

Total number of event n (E) = 4C3 + 5C3= 4 + 10 = 14

Required probability = n (E)/n(S) = 14/220 = 7/110

RRB ALP & Technician Mock Test (English) - 21 - Question 20
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The Compound Interest on a sum of Rs 7290 becomes 1283.75 in 9 months. If the rate of interest is compounded quarterly, then what is the rate of interest?
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 20

RRB ALP & Technician Mock Test (English) - 21 - Question 21
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Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 21

RRB ALP & Technician Mock Test (English) - 21 - Question 22
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In each of the following questions, select the related letters / words / numbers from the given alternatives.

8 : 63 : : 11 : ?
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 22

8² - 1 = 64 -1 = 63

11² - 1 = 121 – 1 = 120

RRB ALP & Technician Mock Test (English) - 21 - Question 23
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In each of the following questions, select the related letters / words / numbers from the given alternatives.

Dark : Fear :: Honesty : ?
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 23

We get ‘Fear’ in ‘Dark’ similarly, we get ‘Trust’ by ‘Honesty’.

RRB ALP & Technician Mock Test (English) - 21 - Question 24
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In each of the following questions, select the related letters / words / numbers from the given alternatives.

CFHL : BEGK :: QTWZ : ?
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 24

C – 1 = B

F – 1 = E

H – 1 = G

L – 1 = K

THEN,

Q – 1 = P

T – 1 = S

W – 1 = V

Z – 1 = Y

RRB ALP & Technician Mock Test (English) - 21 - Question 25
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In each of the following questions, select the related letters / words / numbers from the given alternatives.
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 25

Pattern is

J + 1 = K + 2 = M

V + 1 = W + 2 = Y

L + 1 = M + 2 = O

S + 1 = T + 1 = U

RRB ALP & Technician Mock Test (English) - 21 - Question 26
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In each of the following questions, select the related letters / words / numbers from the given alternatives.
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 26

RRB ALP & Technician Mock Test (English) - 21 - Question 27
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In each of the following questions, select the related letters / words / numbers from the given alternatives.
RRB ALP & Technician Mock Test (English) - 21 - Question 28
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Z is in the East of Y which is in the North of A. If Q is in the South of A, then in which direction of Z, is Q?
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 28

 

RRB ALP & Technician Mock Test (English) - 21 - Question 29
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A's son B is married with C whose sister-in-law D is married to E the father of G. How G is related to A?
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 29

RRB ALP & Technician Mock Test (English) - 21 - Question 30
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Five boys participated in a competition. Ajay was ranked lower than only Manoj. Vijay was ranked higher than Dinesh Amit's rank was between Ajay and Vijay. Who was ranked lowest?.
Detailed Solution for RRB ALP & Technician Mock Test (English) - 21 - Question 30

Manoj > Ajay > Amit > Vijay > Dinesh

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