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RRB ALP Previous Year Paper - 2007 - Railways MCQ


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30 Questions MCQ Test - RRB ALP Previous Year Paper - 2007

RRB ALP Previous Year Paper - 2007 for Railways 2024 is part of Railways preparation. The RRB ALP Previous Year Paper - 2007 questions and answers have been prepared according to the Railways exam syllabus.The RRB ALP Previous Year Paper - 2007 MCQs are made for Railways 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for RRB ALP Previous Year Paper - 2007 below.
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RRB ALP Previous Year Paper - 2007 - Question 1

In a school, ratio of boy students and girl students is 5 : 2. If the number of boy students is 450 more than the girl students, how many students are there in the school ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 1

Let the number of boy students in the school be 5x and that of girl-students is 2x.

Then, 5x – 2x = 450 ⇒ x = 150

∴ Number of total students = 5x + 2x = 7 × 150 = 1050

RRB ALP Previous Year Paper - 2007 - Question 2

BFJ : R : : OAF : ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 2

B F J : R : : O A F : ?

⇒ (2 + 6 + 10) : 18 : : (15 + 1 + 6) : ?

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RRB ALP Previous Year Paper - 2007 - Question 3

XPT : JHL : : BDL : ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 3

 X P T : J H L : : B D L : ?

⇒ (24 + 16 + 20) : (10 + 8 + 12) : : (2 + 4 + 12) : ?

RRB ALP Previous Year Paper - 2007 - Question 4

If 40% of 3/4 of 4/5 of some number is 48, what would be the value of 1 per cent of that number ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 4

Let the number be = x

∴ 1 per cent of the number

RRB ALP Previous Year Paper - 2007 - Question 5

2(–2)2 = ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 5

Expression = 2(–2)2 =

2(–2) × (–2) =

24 = 16

RRB ALP Previous Year Paper - 2007 - Question 6

Square of the sum of two positive numbers is 9. What would be the value of the sum of the cubes of these numbers ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 6

(Sum of two positive numbers)2 = 9 = 32

⇒ Sum of two positive numbers = 3 = (1 + 2)

∴ Sum of the cube of those numbers

= 13 + 23 = 1 + 8 = 9

RRB ALP Previous Year Paper - 2007 - Question 7

Who discovered the laws of planetary motion ?

RRB ALP Previous Year Paper - 2007 - Question 8

Potato belongs to which family ?

RRB ALP Previous Year Paper - 2007 - Question 9

In the battery of the car, the acid used is—

RRB ALP Previous Year Paper - 2007 - Question 10

Which of the following diseases is caused by virus ?

RRB ALP Previous Year Paper - 2007 - Question 11

Chromatographic technique is used for the following purposes—

RRB ALP Previous Year Paper - 2007 - Question 12

At simple interest, a principal becomes double in 16 years. How much will the principal become in 8 years ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 12

Let the sum of money = Rs. P

It becomes double in 16 years. Let the rate of simple annual interest be R%

 

RRB ALP Previous Year Paper - 2007 - Question 13

A trader allows 10% discount on marked price of an article and gets 20% profit. If the marked price of the article is Rs. 50, what is its cost price ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 13

Let the cost price of the article be = Rs. x

Then, the sale price of the article

Marked price of the article = Rs. 50 As per question

 

 

RRB ALP Previous Year Paper - 2007 - Question 14

Find the least number which when divided by 4, 12 and 16 leaves remainder 3 in each case, but it is perfectly divisible by 7.

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 14

L. C. M. of 4, 12, 16 = 48

∴ 48 × 1 + 3 = 51, Not divisible by 7

and 48 × 2 + 3 = 99,

Not divisible by 7 but, 48 × 3 + 3 = 147, Divisible 7

∴ Lowest multiple of 7 = 147

RRB ALP Previous Year Paper - 2007 - Question 15

At what rate of simple interest, will a sum of money become 4 times in 15 years ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 15

Let simple annual interest be

= R% Then, as per question

RRB ALP Previous Year Paper - 2007 - Question 16

A train 130 metres, running at a speed of 45 km/hr, crosses a bridge in 30 seconds. What is the length of the bridge ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 16

Let the length of the bridge be = x metre Speed of the train = 45 km/hr

Distance = Speed × time

 x = 375 – 130

= 245 metres

RRB ALP Previous Year Paper - 2007 - Question 17

Square of the sum of two positive numbers is 9. What would be the value of the sum of the cubes of these numbers ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 17

(Sum of two positive numbers)2 = 9 = 32

⇒ Sum of two positive numbers = 3 = (1 + 2)

∴ Sum of the cube of those numbers

= 13 + 23 = 1 + 8 = 9

RRB ALP Previous Year Paper - 2007 - Question 18

4/5 part of a canister is filled with oil. 6 bottles of oil is taken out of it, leaving the threefourth part of the canister filled with oil. How many bottles of oil can fill the entire canister ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 18

Let the capacity of the canister be = x bottles

Then, as per question

x = 6 × 20 = 120 bottles

RRB ALP Previous Year Paper - 2007 - Question 19

If x : y : : 5 : 2 then the value of 8x + 9y : 8x : 2y will be—

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 19

x : y : : 5 : 2

RRB ALP Previous Year Paper - 2007 - Question 20

A fraction has the same ratio with 1/27, that 3/11 has with 5/9 . What is that fraction ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 20

Let required fraction be = x/1

Then, as per question,

RRB ALP Previous Year Paper - 2007 - Question 21

12 is the H. C. F. of three numbers. If the ratio of these numbers is 1 : 2 : 3, then what are these numbers ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 21

Let three required numbers be x, 2x and 3x, respectively. H. C. F. of three numbers = x =12

∴ Required numbers = 12, 12 × 2, 12 × 3 = 12, 24, 36

RRB ALP Previous Year Paper - 2007 - Question 22

Average of first 50 natural numbers is—

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 22

Average of first 50 natural numbers

RRB ALP Previous Year Paper - 2007 - Question 23

There is a group of 8 men. If a new man replaces a man of this group of 65 kg, average weight of the group rises by 1·5 kg. What is the weight of this new men ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 23

Weight of new man = 65 kg. + 8 × 1·5

= (65 + 12) kg. = 77 kg.

RRB ALP Previous Year Paper - 2007 - Question 24

Average of 11 observations is 60. 58 is the average of first 5 observations and 56 is the average of last five observations. What is the 6th observation ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 24

6th observation = 11 × 60 – [5 × 58 + 5 × 56]

= 660 – [290 + 280]

= 660 – 570 = 90

RRB ALP Previous Year Paper - 2007 - Question 25

Average age of 25 students is 10 years. Average age rises by one year, if the age of the teacher is also included. What is the age of the teacher ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 25

Teacher’s age

= (25 + 1) × (10 + 1) – 25 × 10

= 286 – 250

= 36 years

RRB ALP Previous Year Paper - 2007 - Question 26

Sum of three numbers is 98. Ratio of first and second numbers is 2 : 3 and that of second and third is 5 : 8. What is second number ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 26

Let the three numbers be A, B and C respectively.

∴ A : B = 2 : 3 = 10 : 15 B : C = 5 : 8 = 15 : 24

∴ A : B : C = 10 : 15 : 24

As per question

10x + 15x + 24x = 98

x = 98/49 = 2

Second number = B = 15x = 15 × 2 = 30

RRB ALP Previous Year Paper - 2007 - Question 27

How many are the numbers between 200 and 600 which are perfectly divisible by 4, 5 and 6 ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 27

L. C. M. of 4, 5 and 6 = 2 × 2 × 3 × 5 = 60

∴ The number of required numbers

[240, 300, 360, 420, 480 and 540]

RRB ALP Previous Year Paper - 2007 - Question 28

Area of the largest triangle drawn in a semicircle of radius r will be—

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 28

Perpendicular height of the largest triangle drawn in a semi-circle of radius r = r

RRB ALP Previous Year Paper - 2007 - Question 29

What would be the value of log 9, if log 27 = 1·431 ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 29

log 27 = log 33

= 3·log 3 = 1·431

RRB ALP Previous Year Paper - 2007 - Question 30

Three cubes of iron of sides 6 cms., 8 cm and 10 cm are melted and then converted into a single big cube what would be the side of this new cube ?

Detailed Solution for RRB ALP Previous Year Paper - 2007 - Question 30

Let x be a side of newly formed cube after melting the three cubes.

x3 = (63 + 83 + 103) cm3

= (216 + 512+ 1000) cm3

= 1728 cm3

= 123 cm3

∴ x = 12 cm

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