Multiple choice questions on Mathematics for competitive examination Test 3
This is Test 3 on Mathematics consisting of 20 questions for self check of your preparedness for the competitive examination.
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This is a set of multiple choice questions on Mathematics for competitive examination
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The Answer Key:
Sr No Question Answer Remarks 1 100 million is equal to how much in Crores? 10 Crs 1 million=10 Lakh, and 1000 million=1 Billion. Now 100 million=1000 Lakhs or 10 Crs. 2 Three tankers measures capacity is 403, 434 and 465 liters. What is the maximum size of container required to measure the container accurately? 13 The highest common factor is 13 and therefore, the capacity of the measuring instrument shall be 13 liter. 3 What is a protractor? Its is a device used for the measurement of angle 4 Write the following numbers in ascending order: 5/12, 3/23,4/5,2/7,3/50,2/9,1/17 1/17, 3/50, 3/23, 2/9, 2/7, 5/12, 4/5 The best and correct way is to make the numerator equal by finding LCM which 60 in the present case by multiplying in the denominator accordingly. Out equation will become 60/144, 60/460, 60/75, 60/210, 60/1000, 60/270,60/1020 and now write the lowest denominator first and than in increasing order. 5 There is a plot measuring 15×18 feet is required to be paved by square tile of maximum size. Find out the number of tiles required. 30 The maximum size of the tile will be obtained by finding out the HCF of 15 and 18 which is 3 and therefore 3×3 feet tile is required. The total number required is (15*18)/(3*3)=30 tiles 6 A bag contains coin of 50p, 20p and 10p in the ratio of 1:2:5. The total amount available in the bag was Rs. 140. What was the number of 10p coin in the bag? 500 We have to find the HCF that makes the ratio of 1:2:5 and for this let the HCF is x, than 50*1*x+20*2*x+10*5*x=140 or x=100. Thus, 10 p coin will be 500. 7 Solve: (-157)*(-19)+157= 3140 8 Centroid of a triangle intersecting point of the line connecting the vertex with mid point of the opposite side 9 It is possible to draw a triangle with the following dimensions? 2.7,4.1,6.5 A triangle cannot be constructed if one side is more than the sum of the other two sides. This is a simple check. 10 Simplify: 2/3 + -4/5 + 7/15 + -11/20 (-13/60) 11 I have a total of Rs. 300 in coins of denomination Re 1, Rs 2 and Rs 5. The number of Rs 2 coin is 3 times the number of Rs. 5 coins. The total number of coins is 160. How many coins of each denominations are with me? 80,60,20 Let the number of coins of each denomination is x, 3y and y. Then we have equations as x+3y+y=160 and x+2*3y+5y=300 and solving these two equations we get 80,60 and 20 12 What will be sum of the angles of the irregular polygons formed by six sides? 720⁰ Sum of the angle is given by 180⁰(n-2) 13 For a n digit perfect square, than how many digits a square root will have n/2 for odd digits and (n+1)/2 when even 14 A worker takes 6 hours to complete the job. An another work is added who is having a capacity to complete the same work in 3 hours. If both the workers works together, how much time it will take to complete the work? 3 The capacity of doing work is 1/6 and 1/3 and the combined capacity will be 1/3+1/6 or 1/2 or will complete in 2 hours 15 A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely ? 6 minutes Capacity of filling tank by pipe A is 1/10 and B is 1/6 and combined capacity will be 1/10-1/6 i.e.(-) 1/15 means to empty if the tank is full. Now tank to be emptied is 2/5, therefore it will empty in 6 minutes 16 If the simple interest for 2 years at 10% interest on a certain amount is Rs. 100/- than what will be the gain if interest compounded annually? Rs. 5 100=(2*10*P₀)/100 or P₀=500; P₂ =500[1+10/100]²=500(1.21)= Rs. 605/- 17 The value of [(-2)⁵]⁵ (2)¹⁰ 18 The number of red cell per cubic mm is 5.5 millions. If the average blood in a human being is 5 liters, what is the count of red cell in a human being? 27.5*10¹² 1 liter: 1000000 mm³ or 1 million. Number of cells in 5 liter will be 5*5.5*10¹² 19 What are the factors of x²yz+xy²z+xyz² xyz(x+y+x) 20 How many cones of same radius and height can be made from the paste of same radius sphere? 4 Volume of sphere is 4/3πr^3 and of cone is (1/3) πr^3 and therefore 4 cones can be made. -
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Question 1 of 20
1. Question
100 million is equal to how much in Crores?
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Question 2 of 20
2. Question
Three tankers measures capacity is 403, 434 and 465 liters. What is the maximum size of container required to measure the container accurately?
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Question 3 of 20
3. Question
What is a protractor?
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Question 4 of 20
4. Question
Write the following numbers in ascending order: 5/12, 3/23,4/5,2/7,3/50,2/9,1/17
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Question 5 of 20
5. Question
There is a plot measuring 15×18 feet is required to be paved by square tile of maximum size. Find out the number of tiles required.
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Question 6 of 20
6. Question
A bag contains coin of 50p, 20p and 10p in the ratio of 1:2:5. The total amount available in the bag was Rs. 140. What was the number of 10p coin in the bag?
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Question 7 of 20
7. Question
Solve: (-157)*(-19)+157=
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Question 8 of 20
8. Question
Centroid of a triangle
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Question 9 of 20
9. Question
It is possible to draw a triangle with the following dimensions?
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Question 10 of 20
10. Question
Simplify: 2/3 + -4/5 + 7/15 + -11/20
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Question 11 of 20
11. Question
I have a total of Rs. 300 in coins of denomination Re 1, Rs 2 and Rs 5. The number of Rs 2 coin is 3 times the number of Rs. 5 coins. The total number of coins is 160. How many coins of each denominations are with me?
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Question 12 of 20
12. Question
What will be sum of the angles of the irregular polygons formed by six sides?
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Question 13 of 20
13. Question
For a n digit perfect square, than how many digits a square root will have
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Question 14 of 20
14. Question
A worker takes 6 hours to complete the job. An another work is added who is having a capacity to complete the same work in 3 hours. If both the workers works together, how much time it will take to complete the work?
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Question 15 of 20
15. Question
A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely ?
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Question 16 of 20
16. Question
If the simple interest for 2 years at 10% interest on a certain amount is Rs. 100/- than what will be the gain if interest compounded annually?
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Question 17 of 20
17. Question
The value of [(-2)⁵]⁵
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Question 18 of 20
18. Question
The number of red cell per cubic mm is 5.5 millions. If the average blood in a human being is 5 liters, what is the count of red cell in a human being?
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Question 19 of 20
19. Question
What are the factors of x²yz+xy²z+xyz²
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Question 20 of 20
20. Question
How many cones of same radius and height can be made from the paste of same radius sphere?
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