Multiple choice questions on Mathematics for competitive examination Test 8
This is Test 8 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 What is smallest whole number 0 Natural numbers are 1 to 9 and when 0 is added it becomes whole number. Therefore zero is the smallest whole number 2 Find the largest number which when divides 62, 132 and 237 leaves the same remainder 35 Here the formula used is that the Largest number which divides x,y,z to leave same remainder (not known) = HCF of y-x, z-y, z-x. The formula is derived as [x=a*HCF+R, y=b*HCF+R and z=c*HCF+R; and if we solve these equation to find out HCF and it will be of x-y, y-z and z-x). Now in this we get 132-62=70, 237-132=105 and 237-62=175; and HCF of 70,105 and 175 is 35 and it will the HCF of the three numbers in question 3 Infinite number of surfaces can be formed by moving the vertices A and B of a rectangle toward left and right. The area of the surface remains constant 4 A square is inscribed in a circle of radius 7 cm. What will be the area in cm² of four numbers of segments remaining? 56 Area of the circle is πr² i.e. 154 cm². The sides inscribed will be of 7√2 cm and area of 98 cm². The balance area left is 56 cm² 5 In the figure below of a segment of a circle, the length of the chord is 50 m and maximum distance between arc and chord is 1 m. Find the radius of the arc 323 m Insert diagram 6 Speed of three cars are in the ratio of 2:3:4. What will be ratio of the time taken by them for travelling same distance? (6:4:3) The speed of three cars can be written as 2x, 3x and 4x. Now if the distance travelled is D, than the time taken will be D/2x, D/3x and D/4x and their ratio will 1/2, 1/3 and 1/4. Multiplying it by LCM of 12, we get the ratio as 6:4:3 7 Ram purchased 3/7 gm, 1/3 gm and 1/2 gm. of gold from different shop. Before returning home, he sold 1/6 gm. How much gold he is left with? 4/3g It requires solving fraction numbers i.e. 3/7+1/3+1/2-1/6=4/3 g 8 Which three centers of the triangle will always be collinear? Centroid, circumcenter and orthocenter The centroid, circumcenter and orthocenter of a triangle will always fall on a same line and is called Euler Line 9 Which dimensions of the angles are not correct to draw a triangle? 57-85-37 Sum of all the angles of the triangle shall be 180 degree 10 A train is running 20 minutes late. In order to reach the destination right time, the train speed to be increased by what percentage so as to reach the destination which is 2 hours journey away? 0.2 Let the original speed was u and revised to v to save 15 minutes time. U(120)=v(120-20) or v/u=120/100 or 20% 11 Present ages of Anu and Raj are in the ratio 4:5. Eight years from now
the ratio of their ages will be 5:6. Find the age of the younger?32 Let the HCF is x, than the their age is 4x and 5x and after 8 years their ratio is (4x+8)/(5x+8)=⅚ and solving this we get x=8 and their age is 32 and 40 years. 12 √(0.0169*p)=1.3, find p 100 Square both side and solve 13 What is the compound interest you will get on Rs. 10000/- invested for 1 year 4 months at interest rate of 8½% compounded annually. 1080.56 The amount will become after one year will be 10000(1+17/200)=10850. Now calculate simple interest on 10850*(17/2)(1/4)/100=230.56 and the total interest will be Rs. 1080.56/- 14 To complete a work A and B takes 8 days, B and C takes 12 days, A,B and C takes 6 days. How much time A and C will take 8 Capacity of A and B= 1/8; B&C is 1/12 and A,B,&C is 1/6. from this the capacity of C=1/6-1/8=1/24 and A=1/6-1/12=1/12. The capacity of doing work of A &C is 1/12+1/24=1/8 or in 8 days. 15 A man saves Rs. 1000/- every year from Dec. 2015 for three years at interest rate of 10%. What amount he will get on Dec. 2018 1651 The interest will be earned for the first installment for three years, second installment for two years and last for one year and accordingly . The amount received will be 1000[(1+10/100)³+(1+10/100)²+(1+10/100)]=1000[1.331+1.21+1.1]=1000[3.651] =3651 16 The relationship between faces, edges and vertex of polyhedron is given by F+V=E+2 F + V = E + 2, i.e., F + V – E = 2? This relationship is called Euler’s formula. 17 Find n: (2/9)ⁿ+(2/9)⁻⁶=(2/9)²ⁿ⁻¹ Find n: (2/9)ⁿ+(2/9)⁻⁶=(2/9)²ⁿ⁻¹ 18 Bar chart is used when the focus is on comparison 19 Factors of a³-b³ are (a-b)(a²+ab+b²) 20 The lateral surface area of a hollow cylinder is 4224 cm2. It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of rectangular sheet? 322 The trick is that when it is laid, the height becomes the width and you get 2pie*r=4224/33=128. Perimeter will be 2(128+33)=322 cm. -
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Question 1 of 20
1. Question
What is smallest whole number
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Question 2 of 20
2. Question
Find the largest number which when divides 62, 132 and 237 leaves the same remainder
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Question 3 of 20
3. Question
Infinite number of surfaces can be formed by moving the vertices A and B of a rectangle toward left and right. The area of the surface
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Question 4 of 20
4. Question
A square is inscribed in a circle of radius 7 cm. What will be the area in cm² of four numbers of segments remaining?
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Question 5 of 20
5. Question
In the figure below of a segment of a circle, the length of the chord is 50 m and maximum distance between arc and chord is 1 m. Find the radius of the arc
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Question 6 of 20
6. Question
Speed of three cars are in the ratio of 2:3:4. What will be ratio of the time taken by them for travelling same distance?
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Question 7 of 20
7. Question
Ram purchased 3/7 gm, 1/3 gm and 1/2 gm. of gold from different shop. Before returning home, he sold 1/6 gm. How much gold he is left with?
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Question 8 of 20
8. Question
Which three centers of the triangle will always be collinear?
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Question 9 of 20
9. Question
Which dimensions of the angles are not correct to draw a triangle?
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Question 10 of 20
10. Question
A train is running 20 minutes late. In order to reach the destination right time, the train speed to be increased by what percentage so as to reach the destination which is 2 hours journey away?
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Question 11 of 20
11. Question
Present ages of Anu and Raj are in the ratio 4:5. Eight years from now
the ratio of their ages will be 5:6. Find the age of the younger? -
Question 12 of 20
12. Question
√(0.0169*p)=1.3, find p
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Question 13 of 20
13. Question
What is the compound interest you will get on Rs. 10000/- invested for 1 year 4 months at interest rate of 8½% compounded annually.
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Question 14 of 20
14. Question
To complete a work A and B takes 8 days, B and C takes 12 days, A,B and C takes 6 days. How much time A and C will take
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Question 15 of 20
15. Question
A man saves Rs. 1000/- every year from Dec. 2015 for three years at interest rate of 10%. What amount he will get on Dec. 2018
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Question 16 of 20
16. Question
The relationship between faces, edges and vertex of polyhedron is given by
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Question 17 of 20
17. Question
Find n: (2/9)ⁿ+(2/9)⁻⁶=(2/9)²ⁿ⁻¹
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Question 18 of 20
18. Question
Bar chart is used when the focus is on
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Question 19 of 20
19. Question
Factors of a³-b³ are
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Question 20 of 20
20. Question
The lateral surface area of a hollow cylinder is 4224 cm2. It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of rectangular sheet?
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