Multiple choice questions on Mathematics for competitive examination Test 5
This is Test 5 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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Sr No Question Answer Remarks 1 A book exhibition was held for four days in a school and the number of ticket sold were 1078, 1546, 1829 and 2504. The percentage increase of ticket sale was on which day? 4th day The respective increase on 2,3 and 4th day were 468, 283 and 675. Here percentage increase is more on 2nd day. In case you start calculating the figures, it will take more time at the expense of the time for other questions. 2 The least number which when divided by 6,7,8 or 9 leaves a remainder of 3 but no remainder when divided by 5 1515 The LCM of 6,7,8 and 9 is 504. now we have to find the value of k such that 504k+3 is divisible by 5 and it is 3. therefore the number is 1515 3 What will be the angle in degree between two hands of the clock exactly at 07:15PM 130 The exact angle between two hands between 7 and 3 is 120 degree but for 15 minutes, the hour hand will move by another 10 degree; therefore the answer is 130 degree. 4 Which one is written in the correct ascending order 1) 5/8 < 7/12 < 3/4< 13/16 (2) 5/8 < 7/12 < 13/16 < 3/4 (3) 5/8 < 3/4< 13/16 < 7/12 (4) 7/12 < 5/8 < 3/4< 13/16 4 Convert denominator into equal number i.e. LCM 48 and write as 28/48, 30/48, 36/48, 39/48 and this in ascending order 5 A ladder of match sticks in square pattern as shown below is formed. What is the number of sticks required for making such 27 square? 82 The first square will require 4 numbers and the subsequent will only need 3 no and therefore it will make a series of 4+3(n1)=3n+1 6 A sum of money is distributed among four partners A,B,C and D in the ratio of 2:3:4:5. On receipt of money it is was observed that D got Rs 1000 more than C. What money was received by A. 2000/ Let HCF is x, than the money received by each was 2x, 3x, 4x and 5x. Now the difference between the money received by D and C is Rs. 1000/ than 5x4x=1000 or x=1000; therefore A got Rs. 2000/ 7 Solve: (x¯⁵*y⁶)/(x³*y²)= x¯⁸y⁴ 8 Circumcenter of a triangle is intersecting point of the bisector of each side 9 Area of an equilateral triangle with one side 4 cm will be 4√3 The area of an equilateral triangle will be (√3/4)*(side)² or 4√3 10 Two cross roads, each of width 5 m, run at right angles through the center
of a rectangular park of length 70 m and breadth 45 m and parallel to its
sides. Find the area of the roads. Also find the cost of constructing the
roads at the rate of ` 105 per m2.58100/ Area of the two crossroad is 5*70 and 5*45 but 5*5 is repeated. Therefore the area of the road will be 5*45+5*455*5=550 m² and cost of construction will be 550*105=57750/ 11 The digits of a twodigit number differ by 3. If the digits are interchanged, and the resulting number is added to the original number, we get 143. What can be the original number? 85 Let the digit at unit is x, than the digit and ten place is x+3 and the number will be 10(x+3)+x or 11x+30. When the digits are reversed, we get the number 10x+(x+3) or 11x+3. The sum is 22x+33=143 or x=5. The number is thus 85. 12 What will be number of sides of a regular polygon having an exterior angle as 30⁰. 12 The external angle of a regular polygon is given by 360/(no. of sides) or number of sides=360/30=12 sides 13 Find the square root of 35721 189 Study the different techniques to calculate the square root on finger tips. Last digit is 1, therefore it has to be 9. The total digits to be (5+1)/2=3. Just check the square of 17, 18 and 19 shall be less than 357. 14 A is twice as good as workman as B and together they finish a piece of work in 18 days. In how many days will B alone finish the work. 54 days Let B does the work in x days than A will do in x/2 days. The capacity of doing work of A is 2/x and B is 1/x than 3/x is the combine capacity and x/3=18 i.e. x=54 days. 15 A tank can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tank from empty state if B is used for the first half time and then A and B fill it together for the other half. 30 minutes Rate of filling of A and B is 1/60 and 1/40. Let the time taken is t minutes. Pipe B is used for full time and A is used half of the time than we can write an equation as t(1/80+1/80+1/120)=1 and solving this we get t=30 minutes. 16 On a sum of money, simple interest for 2 years is Rs 660 and compound interest is Rs 696.30, the rate of interest being the same in both cases. 0.11 660=2*P*I/100 and 696.30=P(1+Int/100)²P; In this equation we fill the value of 2P*Int/100 in compound interest formula and you will get Int=11% 17 Solve (7⁻¹8⁻¹)⁻¹(3⁻¹4⁻¹)⁻¹ 44 (1/71/8)⁻¹(1/31/4)⁻¹=5612=44 18 If the number 345234X is divisible by 9, than what is the value of X? 9 Divisibility by 3 and 9 is checked by checking the sum of digits and shall be divisible by 9. Hence when X=6; the sum of digits is 27 which is divisible by 9. 19 Find the factors of a²2ab+b²25 (ab+5)(ab5) It is written as (ab)²c² or (ab+c)(abc) 20 For what height of the cylinder, its surface area is same with that of the of sphere of same radius 4 Surface area of cylinder and sphere is πr²h and 4πr²; so for h=4, the surface area is same 
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Question 1 of 20
1. Question
A book exhibition was held for four days in a school and the number of ticket sold were 1078, 1546, 1829 and 2504. The highest percentage increase of ticket sale was on which day?

Question 2 of 20
2. Question
The least number which when divided by 6,7,8 or 9 leaves a remainder of 3 but no remainder when divided by 5

Question 3 of 20
3. Question
What will be the angle in degree between two hands of the clock exactly at 07:15PM

Question 4 of 20
4. Question
Which one is written in the correct ascending order 1) 5/8 < 7/12 < 3/4< 13/16 (2) 5/8 < 7/12 < 13/16 < 3/4 (3) 5/8 < 3/4< 13/16 < 7/12 (4) 7/12 < 5/8 < 3/4< 13/16

Question 5 of 20
5. Question

Question 6 of 20
6. Question
A sum of money is distributed among four partners A,B,C and D in the ratio of 2:3:4:5. On receipt of money it is was observed that D got Rs 1000 more than C. What money was received by A.

Question 7 of 20
7. Question
Solve: (x¯⁵*y⁶)/(x³*y²)=

Question 8 of 20
8. Question
Circumcenter of a triangle is

Question 9 of 20
9. Question
Area of an equilateral triangle with one side 4 cm will be

Question 10 of 20
10. Question
Two cross roads, each of width 5 m, run at right angles through the center of a rectangular park of length 70 m and breadth 45 m and parallel to its sides. Find the area of the roads. Also find the cost of constructing the roads at the rate of Rx. 105 per m2.

Question 11 of 20
11. Question
The digits of a twodigit number differ by 3. If the digits are interchanged, and the resulting number is added to the original number, we get 143. What can be the original number?

Question 12 of 20
12. Question
What will be number of sides of a regular polygon having an exterior angle as 30⁰.

Question 13 of 20
13. Question
Find the square root of 35721

Question 14 of 20
14. Question
A is twice as good as workman as B and together they finish a piece of work in 18 days. In how many days will B alone finish the work.

Question 15 of 20
15. Question
A tank can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tank from empty state if B is used for the first half time and then A and B fill it together for the other half.

Question 16 of 20
16. Question
On a sum of money, simple interest for 2 years is Rs 660 and compound interest is Rs 696.30, the rate of interest being the same in both cases.

Question 17 of 20
17. Question
Solve (7⁻¹8⁻¹)⁻¹(3⁻¹4⁻¹)⁻¹

Question 18 of 20
18. Question
If the number 345234X is divisible by 9, than what is the value of X?

Question 19 of 20
19. Question
Find the factors of a²2ab+b²25

Question 20 of 20
20. Question
For what height of the cylinder, its surface area is same with that of the of sphere of same radius
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