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/ (SPCP)*100/CP=Profit or (540CP)*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(n3)/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 1/151/25 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

Question 2 of 20
2. Question
Find the least number which when divided by 12, 16, 24, 36 leave remainder of 7?

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?

Question 4 of 20
4. Question
Integer is a set which does not consists

Question 5 of 20
5. Question

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.

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?

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?

Question 9 of 20
9. Question

Question 10 of 20
10. Question
A product is sold at Rs. 540/ and with a profit of 20%. What was the cost price?

Question 11 of 20
11. Question
What should be added to twice of the rational number (7/2) to make it (3/7)

Question 12 of 20
12. Question
A polygon has 34 sides. How many diagonal can be drawn?

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

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?

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?

Question 16 of 20
16. Question
At what approximate interest rate, an amount is doubled in 10 years?

Question 17 of 20
17. Question
Which one is a concave polyhedron?

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

Question 19 of 20
19. Question
Line diagram is used when the focus is on

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.