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National level online quiz on Mathematics

Total questions: 30

Worksheet time: 19mins

Name
Class
Date
1.

The 7th term of the sequence 0.12,0.012,0.0012..... is

a)

1.2 ×1061.2\ \times10^6

b)

1.2 ×1061.2\ \times10^{-6}

c)

1.2 ×1071.2\ \times10^7

d)

1.2 ×1071.2\ \times10^{-7}

2.

 98÷35of (34+35)\frac{9}{8}\div\frac{3}{5}of\ \left(\frac{3}{4}+\frac{3}{5}\right)  

a)

 1 11181\ \frac{11}{18}  

b)

 1 5181\ \frac{5}{18}  

c)

 1 13181\ \frac{13}{18}  

d)

 1 7181\ \frac{7}{18}  

3.

The sum of three numbers is 264 if the first number be twice the second and third number be one-third of the first, then the second number is

a)

48

b)

72

c)

54

d)

64

4.

Arun is now half as old as his father. Twelve years ago the father's age was three times as old as Arun. Now the present age of his father's age is

a)

24 years

b)

36 years

c)

48 years

d)

50 years

5.

The angle in a semi circle is a

a)

acute angle

b)

obtuse angle

c)

straight angle

d)

right angle

6.

which is biggest ratio?

2:3 , 3:5 , 4:7 , 5:8

a)

3:5

b)

4:7

c)

5:8

d)

2:3

7.

In how many years will a sum of Rs.1600 amount to Rs.1852.20 at 5% per annum compound interest?

a)

3

b)

5

c)

4

d)

6

8.

 The value of e0  isThe\ value\ of\ e^{0\ }\ is  

a)

e

b)

1

c)

0

d)

 \infty  

9.

 A number is increased by 22 12 and gives 98.  A\ number\ is\ increased\ by\ 22\ \frac{1}{2}\ and\ gives\ 98.\ \  

The number is

a)

45

b)

18

c)

80

d)

81

10.

A sum of money triple itself

at 10% interest per annum,

over a certain time. Find the number of years

a)

10 years

b)

15 years

c)

20 years

d)

25 years

11.

Find simple interest on Rs. 10950 for 42 days at 10% p.a

a)

116

b)

74

c)

126

d)

108

12.

 The value of (67.542)2  (32.458)275.45840.374isThe\ value\ of\ \frac{\left(67.542\right)^2\ -\ \left(32.458\right)^2}{75.458-40.374}is  

 

a)

1

b)

10

c)

100

d)

1000

13.

 If (13)3 +(7)3(13)2+(7)2 x=20, then x isIf\ \frac{\left(13\right)^3\ +\left(7\right)^3}{(13)^2+(7)^2\ -x}=20,\ then\ x\ is  

a)

6

b)

20

c)

91

d)

31

14.

The product of two numbers is 45 and the sum of their squares is 106. The numbers are

a)

3 and 5

b)

5 and 9

c)

5 and 19

d)

45 and 1

15.

 If x = 5+26, then x  1x isIf\ x\ =\ 5+2\sqrt{6},\ then\ \frac{x\ -\ 1}{x}\ is  

a)

 2\sqrt{2}  

b)

 222\sqrt{2}  

c)

 3\sqrt{3}  

d)

 232\sqrt{3}  

16.

A scored 30% marks and failed by 15 marks. B scored 40% marks and obtained 35 marks more than that required to pass. The pass percentage is

a)

45%

b)

40%

c)

35%

d)

33%

17.

The ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250. The sum of the three numbers is

a)

30

b)

50

c)

60

d)

90

18.

A sum of Rs.312 was divided among 100 boys and girls in such a way that each boy gets Rs.3.60 and each girl gets Rs.2.40. The number of girls is

a)

35

b)

40

c)

60

d)

65

19.

If the perimeter of an isosceles right triangle is  6+32m6+3\sqrt{2}m then the area of the triangle is 

a)

 4.5 m24.5\ m^2  

b)

 5.4 m25.4\ m^2  

c)

 9 m29\ m^2  

d)

 81 m281\ m^2  

20.

The greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case is

a)

4

b)

7

c)

9

d)

13

21.

If a + b + c = 13, a2 + b2 + c2 = 69 , then ab + bc + ca is

a)

– 50

b)

50

c)

69

d)

75

22.

 461+462+463+464 is divisible by46^1+46^2+46^3+46^4\ is\ divisible\ by  

a)

9

b)

10

c)

11

d)

12

23.

The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is

a)

40%

b)

42%

c)

44%

d)

46%

24.

The sides of two similar triangles are in the ratio of  3:2\sqrt{3}:2  . Then their areas are in the ratio of

a)

 3:4\sqrt{3}:4  

b)

 3:43:4  

c)

 3:23:2  

d)

 4:34:3  

25.

In a problem on division, dividend is 1261, Divisor is half the

quotient, remainder is 11. Then the divisor is

a)

20

b)

25

c)

30

d)

35

26.

 (64)x =22, then the value of x is\left(64\right)^x\ =2\sqrt{2},\ then\ the\ value\ of\ x\ is  

a)

4

b)

6

c)

 14\frac{1}{4}  

d)

 16\frac{1}{6}  

27.

 If x =26+5, then the value of x +1x isIf\ x\ =2\sqrt{6}+5,\ then\ the\ value\ of\ x\ +\frac{1}{x}\ is  

a)

10

b)

 10610\sqrt{6}  

c)

12

d)

 12612\sqrt{6}  

28.

Three metallic cubes of sides 3cm, 4 cm and 5cm respectively are melted and are recast into a single cube. Then the lateral surface area of the new cube is (in sq. cms)

a)

216

b)

256

c)

72

d)

144

29.

 If 2(2x1)=8(3x), then the value of x isIf\ 2^{\left(2x-1\right)}=8^{\left(3-x\right)},\ then\ the\ value\ of\ x\ is  

a)

-1  

b)

-2

c)

2

d)

3

30.

In a book there are 120 pages with 45 lines in each page. If the number of lines in a page are reduced to 24, the total number of pages will be _______

a)

150

b)

165

c)

275

d)

225