Multiple choice questions on Mathematics for competitive examination Test 1
This is Test 1 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 How many four digits number can be formed without repeating any of the number 24 It is best given by factorial 4 or 4! i.e. 4x3x2x1=24 2 Find the least number which when divided by 12, 16, 24, 36 leave remainder of 7? 251 LCM of these four number is 144. For 7 to be remainder, the number shall be 144+7=251. 3 The size of a room is 825cm, 675cm and 450cm. Find the size of a ruler which can be used to measure the dimensions in exact multiples? 75 We have to find the HCF of these three numbers. The HCF is 75. 4 Integer is a set which does not consists rational number Rational number includes fractions and is not in the set of integer. 5 A triangle with one side as diameter is inscribed in a circle of radius 5 cm. What will be the area of the two small segments shown in the diagram if one of the other side of the triangle is 3 cm. 3.8 The triangle inscribed with base as diameter will always be a right angle triangle. The area of the half circle is 275/28 cm² and that of the triangle will be 1/2*(4*3)=6 cm² and thus the area of the two small segments will be (275/28)-6 or 107/28=3.8 6 Ram gets a salary which is equal to 30% of Ramesh and 1/4 part of Suresh. What is the ratio of the salary of Ramesh and Suresh. (6:5) Now let the salary of Ramesh is R and of Suresh is S than we have the equation (30/100)R=(1/4(S) or R:S::6:5 7 Out of 1800 students in a school, 750 opted Basketball, 800 for cricket and 250 for table tennis. What is the ratio of option exercised? (15:16:5) The ratio is 750:800:250 and removing the HCF we get the ratio as 15:16:5 8 Average of three numbers is 5.2. If two numbers is 4.2 and 3.8 than what will be the third number? 7.6 9 The length of the midsegment of a triangle is always half the length of the parallel side 10 A product is sold at Rs. 540/- and with a profit of 20%. What was the cost price? 450/- (SP-CP)*100/CP=Profit or (540-CP)*100/CP=20 and solving this we get Rs. 450/- 11 What should be added to twice of the rational number (-7/2) to make it (3/7) 107/21 12 A polygon has 34 sides. How many diagonal can be drawn? 527 The relation is given as n(n-3)/2 13 For any right angle triangle to be prepared on a base of natural number 10 will satisfy the condition of other two sides to have a natural number as 24,26 With one side to be 10, m=5 and other two sides will be 24 and 26 from phythogroian triplets 14 15 workers can build a wall in 64 hours. How much time it will take to build the same wall in 48 Hours? 20 1 worker will need 15*64 and to build in 48 hours it will take 15*64/48=20 workers 15 A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work? 75/2 The capacity of doing work of A is 1/25 and balance work is 1/5 when B joins. Combined capacity is 1/3 for the balance 1/5 part of the work and it will be 1/15 for the whole work. The capacity of B alone is 1/15-1/25 or he will take 75/2 days 16 At what approximate interest rate, an amount is doubled in 10 years? 0.072 Do you know the rule of 72 for doubling the amount. Rate of interest*No. of years=72. Therefore if the interest rate is 7.2%, it will double in 10 years. 17 Which one is a concave polyhedron? 18 The diameter of sun is 1.4*10⁹ and that of earth is 1.2756*10⁷. Compare their diameter Sun is approximately 100 times bigger then earth 19 Line diagram is used when the focus is on continuous display of trend 20 From a cylinder a cone is taken out whose height is same but radius is half of that of cylinder. The volume is reduced by what percentage? 8.33 Volume of cylinder is πr²h and now the radius is reduced to r/2 and the volume of cone is 1/3*π(r/2)²*h or 1/12 of the volume of cylinder and percentage reduction will 8.33% -
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Question 1 of 20
1. Question
How many four digits number can be formed without repeating any of the number
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Question 2 of 20
2. Question
Find the least number which when divided by 12, 16, 24, 36 leave remainder of 7?
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Question 3 of 20
3. Question
The size of a room is 825cm, 675cm and 450cm. Find the size of a ruler which can be used to measure the dimensions in exact multiples?
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Question 4 of 20
4. Question
Integer is a set which does not consists
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Question 5 of 20
5. Question
A triangle with one side as diameter is inscribed in a circle of radius 5 cm. What will be the area of the two small segments shown if one of the other side of the triangle is 3 cm.
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Question 6 of 20
6. Question
Ram gets a salary which is equal to 30% of Ramesh and 1/4 part of Suresh. What is the ratio of the salary of Ramesh and Suresh.
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Question 7 of 20
7. Question
Out of 1800 students in a school, 750 opted Basketball, 800 for cricket and 250 for table tennis. What is the ratio of option exercised?
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Question 8 of 20
8. Question
Average of three numbers is 5.2. If two numbers is 4.2 and 3.8 than what will be the third number?
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Question 9 of 20
9. Question
The length of the midsegment of a triangle is
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Question 10 of 20
10. Question
A product is sold at Rs. 540/- and with a profit of 20%. What was the cost price?
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Question 11 of 20
11. Question
What should be added to twice of the rational number (-7/2) to make it (3/7)
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Question 12 of 20
12. Question
A polygon has 34 sides. How many diagonal can be drawn?
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Question 13 of 20
13. Question
For any right angle triangle to be prepared on a base of natural number 10 will satisfy the condition of other two sides to have a natural number as
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Question 14 of 20
14. Question
15 workers can build a wall in 64 hours. How much time it will take to build the same wall in 48 Hours?
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Question 15 of 20
15. Question
A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?
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Question 16 of 20
16. Question
At what approximate interest rate, an amount is doubled in 10 years?
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Question 17 of 20
17. Question
Which one is a concave polyhedron?
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Question 18 of 20
18. Question
The diameter of sun is 1.4*10⁹ and that of earth is 1.2756*10⁷. Compare their diameter
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Question 19 of 20
19. Question
Line diagram is used when the focus is on
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Question 20 of 20
20. Question
From a cylinder a cone is taken out whose height is same but radius is half of that of cylinder. The volume is reduced by what percentage?
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i think it’s A
which question pl.