RRB Group D Order of Magnitude
Master RRB Group D Order of Magnitude, Ratio, Proportion, and Variation with our expertly crafted Multiple Choice Questions (MCQ).
Elevate your preparation for the railway recruitment exam by practicing comprehensive questions on order of magnitude, ratios, proportions, and variation
1.What is the order of magnitude of 5,000?
a) 10^2
b) 10^3
c) 10^4
d) 10^5
Answer: c) 10^4
2.If a bacteria colony grows from 100 to 1,000, what is the order of magnitude change?
a) 10^1
b) 10^2
c) 10^3
d) 10^4
Answer: b) 10^2
3.The distance between the Earth and the Moon is approximately 384,400 kilometers. What is the order of magnitude of this distance?
a) 10^4
b) 10^5
c) 10^6
d) 10^7
Answer: c) 10^6
4.If the population of a city is 2 million, what is the order of magnitude of the population?
a) 10^4
b) 10^5
c) 10^6
d) 10^7
Answer: c) 10^6
5.The mass of the Earth is approximately 5.97 x 10^24 kg. What is the order of magnitude of the Earth’s mass?
a) 10^20
b) 10^21
c) 10^22
d) 10^23
Answer: d) 10^23
6.If the speed of light is approximately 3 x 10^8 meters per second, what is the order of magnitude of the speed of light?
a) 10^6
b) 10^7
c) 10^8
d) 10^9
Answer: c) 10^8
7.The diameter of a typical human hair is about 0.1 millimeters. What is the order of magnitude of the diameter?
a) 10^-2
b) 10^-1
c) 10^0
d) 10^1
Answer: b) 10^-1
8.The age of the universe is estimated to be around 13.8 billion years. What is the order of magnitude of the universe’s age?
a) 10^8
b) 10^9
c) 10^10
d) 10^11
Answer: c) 10^10
9. If a computer processes 2 billion instructions per second, what is the order of magnitude of its processing speed?
A) 10^6
B) 10^7
C) 10^8
D) 10^9
Answer: C) 10^8
10. The volume of the Pacific Ocean is approximately 710 million cubic kilometers. What is the order of magnitude of the Pacific Ocean’s volume?
A) 10^7
B) 10^8
C) 10^9
D) 10^10
Answer: C) 10^9
11. The age of the universe is estimated to be around 13.8 billion years. What is the order of magnitude of the age of the universe?
A) 10^8
B) 10^9
C) 10^10
D) 10^11
Answer: B) 10^9
12. If a car travels at a speed of 120 kilometers per hour, what is the order of magnitude of its speed?
A) 10^1
B) 10^2
C) 10^3
D) 10^4
Answer: B) 10^2
13. The distance between the Earth and the Moon is approximately 384,400 kilometers. What is the order of magnitude of this distance?
A) 10^4
B) 10^5
C) 10^6
D) 10^7
Answer: B) 10^5
14. The average human body temperature is around 98.6 degrees Fahrenheit. What is the order of magnitude of body temperature in Fahrenheit?
A) 10^0
B) 10^1
C) 10^2
D) 10^3
Answer: B) 10^1
15. The energy released in an atomic bomb explosion is in the order of 10^13 joules. What is the order of magnitude of this energy?
A) 10^10
B) 10^11
C) 10^12
D) 10^13
Answer: C) 10^12
16.Order of magnitude of the diameter of a hydrogen atom?
A) 10^(-10)
B) 10^(-9)
C) 10^(-8)
D) 10^(-7)
Answer: A) 10^(-10)
17. The average human heart beats about 70 times per minute. What is the order of magnitude of the heart rate in beats per day?
A) 10^3
B) 10^4
C) 10^5
D) 10^6
Answer: C) 10^5
18. The speed of sound in air is approximately 343 meters per second. What is the order of magnitude of the speed of sound?
A) 10^1
B) 10^2
C) 10^3
D) 10^4
Answer: B) 10^2
19. The mass of the Sun is about 2 × 10^30 kilograms. What is the order of magnitude of the mass of the Sun?
A) 10^28
B) 10^29
C) 10^30
D) 10^31
Answer: C) 10^30
20. The wavelength of visible light is in the range of 400 to 700 nanometers. What is the order of magnitude of the wavelength of visible light?
A) 10^(-8)
B) 10^(-7)
C) 10^(-6)
D) 10^(-5)
Answer: B) 10^(-7)
21. The Earth’s gravitational acceleration is approximately 9.8 meters per second squared. What is the order of magnitude of gravitational acceleration?
A) 10
B) 10^2
C) 10^3
D) 10^4
Answer: A) 10
22. The estimated number of galaxies in the observable universe is around 2 trillion. What is the order of magnitude of this number?
A) 10^11
B) 10^12
C) 10^13
D) 10^14
Answer: B) 10^12
RRB Group D Ratio MCQ
1.The ratio of the number of boys to the number of girls in a class is 3:5. If there are 45 girls in the class, how many boys are there?
a) 27
b) 18
c) 30
d) 25
Answer:c) 30
2.The ratio of the ages of John and Mary is 4:7. If Mary is 21 years old, how old is John?
a) 9
b) 12
c) 15
d) 18
Answer:b) 12
3.In a mixture, the ratio of milk to water is 5:2. If the total mixture is 56 liters, how much water is there?
a) 16 liters
b) 20 liters
c) 24 liters
d) 32 liters
Answer:a) 16 liters
4.The length of a rectangle is three times its width. If the width is 4 cm, what is the length of the rectangle?
a) 8 cm
b) 12 cm
c) 16 cm
d) 20 cm
Answer:b) 12 cm
5.A bag contains red, blue, and green balls in the ratio 3:4:5. If there are 28 green balls, how many balls are there in total?
a) 60
b) 70
c) 80
d) 90
Answer:c) 80
6.The ratio of the ages of A and B is 5:8. If the sum of their ages is 78, what is the age of B?
a) 40
b) 48
c) 30
d) 35
Answer:b) 48
7.The ratio of the sides of two similar triangles is 3:7. If the perimeter of the smaller triangle is 15 cm, what is the perimeter of the larger triangle?
a) 21 cm
b) 49 cm
c) 35 cm
d) 42 cm
Answer:d) 42 cm
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8.A recipe calls for mixing sugar and flour in the ratio 2:5. If you need 300 grams of flour, how much sugar should be used?
a) 120 grams
b) 100 grams
c) 75 grams
d) 150 grams
Answer:a) 120 grams
9.The income of A and B is in the ratio 4:3. If A’s income is $800, what is B’s income?
a) $600
b) $700
c) $900
d) $750
Answer:a) $600
10.The ratio of the length to the breadth of a rectangle is 5:2. If the perimeter is 42 cm, what is the area of the rectangle?
a) 60 sq. cm
b) 70 sq. cm
c) 80 sq. cm
d) 90 sq. cm
Answer:c) 80 sq. cm
11.The ratio of the number of students who play football to the number of students who play basketball is 5:3. If there are 40 students who play basketball, how many students play football?
a) 25
b) 15
c) 30
d) 20
Answer:a) 25
12.The ratio of the prices of two books is 4:7. If the price of the cheaper book is $16, what is the price of the costlier book?
a) $28
b) $18
c) $32
d) $22
Answer:c) $32
13.The ratio of the lengths of two sticks is 2:5. If the longer stick is 25 cm, what is the length of the shorter stick?
a) 10 cm
b) 8 cm
c) 12 cm
d) 15 cm
Answer:a) 10 cm
14.The ratio of the salaries of David and Emma is 3:5. If Emma’s salary is $1200, what is David’s salary?
a) $600
b) $800
c) $900
d) $720
Answer:b) $800
15.The ratio of the number of red balls to blue balls in a bag is 2:3. If there are 15 red balls, how many blue balls are there?
a) 10
b) 12
c) 18
d) 25
Answer:c) 18
16.The ratio of the perimeters of two similar triangles is 3:5. If the perimeter of the smaller triangle is 15 cm, what is the perimeter of the larger triangle?
a) 18 cm
b) 25 cm
c) 30 cm
d) 50 cm
Answer:c) 30 cm
17.The ratio of the present ages of Mary and John is 2:3. If the sum of their ages is 25, what is John’s present age?
a) 9
b) 12
c) 15
d) 18
Answer:d) 18
18.In a mixture, the ratio of alcohol to water is 1:4. If there are 5 liters of alcohol, what is the total quantity of the mixture?
a) 20 liters
b) 25 liters
c) 30 liters
d) 35 liters
Answer:c) 30 liters
19.The ratio of boys to girls in a classroom is 2:3. If there are 20 girls, how many boys are there?
a) 10
b) 15
c) 20
d) 25
Answer:b) 15
20.The ratio of the areas of two rectangles is 4:9. If the area of the smaller rectangle is 36 sq. units, what is the area of the larger rectangle?
a) 81 sq. units
b) 64 sq. units
c) 72 sq. units
d) 54 sq. units
Answer:a) 81 sq. units
21.The ratio of the number of apples to oranges in a basket is 2:5. If there are 35 oranges, how many apples are there?
a) 10
b) 12
c) 15
d) 20
Answer:b) 12
22.The ratio of the incomes of two friends, Jack and Jill, is 5:3. If Jack’s income is $1200, what is Jill’s income?
a) $600
b) $800
c) $720
d) $900
Answer:c) $720
23.A solution contains a mixture of water and alcohol in the ratio 2:7. If there are 45 liters of the solution, how many liters of alcohol are there?
a) 15
b) 20
c) 30
d) 35
Answer:c) 30
24.The ratio of the lengths of two ropes is 3:8. If the longer rope is 24 meters, what is the length of the shorter rope?
a) 6 meters
b) 9 meters
c) 12 meters
d) 18 meters
Answer:a) 6 meters
25.The ratio of the perimeters of two squares is 5:8. If the perimeter of the smaller square is 20 cm, what is the perimeter of the larger square?
a) 32 cm
b) 40 cm
c) 48 cm
d) 50 cm
Answer:c) 48 cm
26.The ratio of the prices of three mobile phones is 2:3:5. If the cheapest phone costs $150, what is the cost of the most expensive phone?
a) $200
b) $250
c) $300
d) $350
Answer:c) $300
27.The ratio of the volumes of two cubes is 1:8. If the volume of the smaller cube is 27 cubic units, what is the volume of the larger cube?
a) 64 cubic units
b) 216 cubic units
c) 125 cubic units
d) 192 cubic units
Answer:b) 216 cubic units
28.The ratio of the number of pencils to pens in a stationary set is 4:7. If there are 28 pens, how many pencils are there?
a) 16
b) 20
c) 24
d) 28
Answer:a) 16
29.The ratio of the salaries of Tom and Jerry is 3:4. If Jerry’s salary is $800, what is Tom’s salary?
a) $600
b) $700
c) $900
d) $1000
Answer:a) $600
30.The ratio of the speeds of two cars is 5:8. If the faster car travels 240 km in 3 hours, how far does the slower car travel in the same time?
a) 150 km
b) 180 km
c) 120 km
d) 200 km
Answer:b) 180 km
31.The ratio of the ages of a father and his son is 5:2. If the sum of their ages is 49, what is the age of the son?
a) 14
b) 16
c) 18
d) 20
Answer:a) 14
32.The ratio of the number of marbles to stones in a bag is 3:2. If there are 24 stones, how many marbles are there?
a) 36
b) 18
c) 27
d) 30
Answer:c) 27
33.The ratio of the lengths of two parallel sides of a trapezoid is 2:5. If the longer side is 25 cm, what is the length of the shorter side?
a) 8 cm
b) 10 cm
c) 12 cm
d) 15 cm
Answer:a) 8 cm
34.The ratio of the number of hours Bob works to the number of hours Alice works is 3:2. If Alice works 20 hours, how many hours does Bob work?
a) 30
b) 25
c) 15
d) 18
Answer:a) 30
35.The ratio of the base to the height of a triangle is 4:7. If the height is 14 cm, what is the base?
a) 8 cm
b) 16 cm
c) 24 cm
d) 28 cm
Answer:c) 24 cm
RRB Group D Proportion and variation MCQ’S
1.If the cost of 8 notebooks is Rs. 240, what will be the cost of 12 notebooks?
a) Rs. 320
b) Rs. 360
c) Rs. 280
d) Rs. 400
Answer:b) Rs. 360
2.If the length of a rectangle is doubled while the width remains the same, by what factor does the area increase?
a) 2
b) 4
c) 1/2
d) 3
Answer:a) 2
3.The ratio of the ages of two persons is 3:5. If the age of the older person is 40, what is the age of the younger person?
a) 24
b) 25
c) 20
d) 30
Answer:a) 24
4.If x is inversely proportional to y, and x = 10 when y = 5, what is the value of x when y = 8?
a) 6.25
b) 4
c) 3.2
d) 1.25
Answer:c) 3.2
5.The cost of 5 pens is Rs. 75. What is the cost of 12 pens?
a) Rs. 144
b) Rs. 180
c) Rs. 120
d) Rs. 300
Answer:b) Rs. 180
6.The sum of three numbers is 45. If the first number is 10 and the second number is in the ratio 2:3 with the third number, what is the third number?
a)1515
b)2020
c)2525
d)3030
Answer:c)2525
7.The ratio of the volumes of two similar cones is 8:27. If the radius of the smaller cone is r, what is the radius of the larger cone in terms of r?
a) r
b) 22r
c) 33r
d) 44r
Answer:c)33r
8.The sum of three consecutive odd numbers is 51 What is the middle number?
a) 15
b) 17
c) 19
d) 21
Answer:c) 19