wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

MATHS (1ST, 2ND & 3RD TOPIC WITH PERMUTATIONS)

Total questions: 35

Worksheet time: 18mins

Name
Class
Date
1.

The students of two classes are in the ratio of 5:7, if 1 students left from each class, the remaining students are in the ratio of 4:6 then the no. of students in each class is:

a)

30.40

b)

25,24

c)

40,60

d)

50,70

2.

If A:B = 2:5, then (10A + 3B) : (5A + 2B) = ?

a)

7:4

b)

7:3

c)

6:5

d)

7:9

3.

 If log2X + log4X = 6, then the value of X is:If\ \log_2X\ +\ \log_4X\ =\ 6,\ then\ the\ value\ of\ X\ is:  

a)

16

b)

32

c)

64

d)

128

4.

The value of  (3n+1 + 3n) ÷ (3n+3  3n+1 ) \left(3^{n+1\ }+\ 3^n\right)\ \div\ \left(3^{n+3\ }-\ 3^{n+1\ }\right)\   is ?

a)

1/5

b)

1/6

c)

1/4

d)

1/9

5.

If   logxy = 100 & log2X = 10, \log_xy\ =\ 100\ \&\ \log_2X\ =\ 10,\   then the value of Y is:

a)

 2102^{10}  

b)

 21002^{100}  

c)

 210002^{1000}  

d)

 210,0002^{10,000}  

6.

Which of the numbers are not in praportion ?

a)

6,8,5,7

b)

7,3,14,6

c)

18,27,12,18

d)

8,6,12,9

7.

  Value of 1log360 + 1log460 + 1log560\ Value\ of\ \frac{1}{\log_360}\ +\ \frac{1}{\log_460}\ +\ \frac{1}{\log_560}  is?


a)

0

b)

1

c)

5

d)

60

8.

The ratio of the no. of Rs.5 coins and Rs.10 coins is 8:15. If the value of Rs.5 coins is Rs.360, then the no. of Rs.10 coins will be:

a)

72

b)

120

c)

135

d)

185

9.

If 1/2, 1/3, 1/5 & 1/X are in praportion, then the value of "X" will be:

a)

15/2

b)

6/5

c)

10/3

d)

5/6

10.

 3X  25X + 6\frac{3X\ -\ 2}{5X\ +\ 6}  is the duplicate ratio of  23\frac{2}{3}  then find the value of X:

a)

2

b)

6

c)

5

d)

9

11.

If the ratio of two numbers is 7:11. If 7 is added to each number then the new ratio will be 2:3 then the numbers are:

a)

49 , 77

b)

42 , 45

c)

43 , 42

d)

39 , 40

12.

 Find the possitive value ofK for which the equations X2 + kX + 64 = 0Find\ the\ possitive\ value\ ofK\ for\ which\ the\ equations\ X^2\ +\ kX\ +\ 64\ =\ 0 and  X2  8X + k = 0 will have real rootsX^{2\ }-\ 8X\ +\ k\ =\ 0\ will\ have\ real\ roots   


a)

12

b)

16

c)

18

d)

22

13.

A man sells 6 radios and 4 televisions for Rs.18,480. If 14 radios and 2 televisions are sold for the same amount, what is the price of the television?

a)

Rs.1848

b)

Rs.840

c)

Rs.1680

d)

Rs.3360

14.

 Ifone root ofthe equation is 2+ 5 , then the quadratic equation is?Ifone\ root\ ofthe\ equation\ is\ 2+\ \sqrt{5\ },\ then\ the\ quadratic\ equation\ is?  

a)

 X2 + 4X  1 = 0X^2\ +\ 4X\ -\ 1\ =\ 0  

b)

 X2  4X  1 = 0X^2\ -\ 4X\ -\ 1\ =\ 0  

c)

 X2 + 4X + 1 = 0X^2\ +\ 4X\ +\ 1\ =\ 0  

d)

 X2  4X + 1 = 0X^2\ -\ 4X\ +\ 1\ =\ 0  

15.

 The value of 6+6+6+.........The\ value\ of\ \sqrt{6+\sqrt{6+\sqrt{6+.........}}}  is ?

a)

-3

b)

3

c)

2

d)

4

16.

If the ratio of (5x-3y) and (5y-3x) is 3:4, then the value of x:y is

a)

27:29

b)

29:27

c)

3:4

d)

4:3

17.

If roots of the equation

 X2 + X + r = 0X^{2\ }+\ X\ +\ r\ =\ 0  are  "α" & "β""\alpha"\ \&\ "\beta"  and  α3 + β3 = 6\alpha^{3\ }+\ \beta^{3\ }=\ -6 . Find the value of "r"

a)

-5/3

b)

7/3

c)

-4/3

d)

1

18.

Roots of the equation 2X2 + 3X + 7 = 0 are   α & β\alpha\ \&\ \beta . The value of  αβ1 + βα1\alpha\beta^{-1}\ +\ \beta\alpha^{-1}  

a)

-2

b)

3/7

c)

-7/2

d)

-19/14

19.

If b2 - 4ac is a perfect square but not equal to zero then the roots are

a)

real & equal

b)

real, irrational & equal

c)

real, rational & unequal

d)

imaginary

20.

A person on a tour has Rs.9600 for his expenses. If his tour is extended by 16 days he has to cut down his daily expenses by Rs.20, his original duration of the tour had been

a)

48 days

b)

64 days

c)

80 days

d)

96 days

21.

Rs.8000 becomes RS.10,000 in two years at simple interest. the amount that will become Rs.6875 in 3 years at the same rate of interest is?

a)

Rs.4850

b)

Rs.5000

c)

Rs.5500

d)

Rs.5275

22.

The difference between the simple interest and compound interest on a certain sum for 3 years at 5% p.a. is Rs.228.75. the compound interest on the sum for 2 years at 5% p.a. is?

a)

Rs.3715

b)

Rs.3075

c)

Rs.3275

d)

Rs.2975

23.

X invest Rs.10,000 every year starting from today for next 10 years. Suppose interest rate is 8% p.a. compounded anually. calculate future value of annuity?

a)

Rs.156454.88

b)

Rs.144865.625

c)

Rs.156554.88

d)

Rs.None of these

24.

The present value of an annuity of Rs.3000 for 15 years at 4.5% p.a. C.I. is:

a)

Rs.23809.67

b)

Rs.32218.67

c)

Rs.32908.67

d)

Rs.32578.76

25.

The rate of simple interest on a sum of money is 6% p.a. for first 3 years, 8% p.a. for the next five years and 10% p.a. for the period beyond 8 years. if the simple interest accrued by the sum for the period of 10 years is Rs.1560. The sum is :

a)

Rs.1500

b)

Rs.2000

c)

Rs.3000

d)

Rs.5000

26.

A sum of money doubles itself in 10 years. The no. of years it would trebles itself is:

a)

25 years

b)

20 years

c)

15 years

d)

30 years

27.

In what time will Rs.3,90,625 amounts to Rs.4,56,976 at 8% p.a. when the interest is compounded semi-annually.

a)

2 years

b)

4 years

c)

5 years

d)

7 years

28.

A machine can be purchased for Rs.50,000. Machine will contribute Rs.12,000 per years for the next 5 years. assume borrowing cost is 10% p.a. Determine weather machine should purchased or not.

a)

Should be purchased

b)

Should not be purchased

c)

Can't say about purchase

d)

None of these

29.

How much amount is required to be invested every year so as to accumulate Rs.3,00,000 at the end of 10 years, if investment is made at 10% p.a. compounded annually.

a)

Rs.18,823.65

b)

Rs.18,828.65

c)

Rs.18,832.65

d)

Rs.18,882.65

30.

A certain sum of money amounts to Rs.6300 in two years and Rs.7875 in 3 years and nine months at simple interest. Find the rate of interest per annum.

a)

20%

b)

18%

c)

15%

d)

10%

31.

How long will Rs.12,000 take to amount to Rs.14,000 at 5% p.a. converted quarterly?

a)

3 years

b)

3.1 years

c)

3.5 years

d)

3.3 years.

32.

In how many ways 5 children can be seated in a row

a)

720 ways

b)

120 ways

c)

60 ways

d)

none of these

33.

How many words can be formed with the letters MONDAY

a)

720

b)

120

c)

450

d)

540

34.

7 books are to be arranged in such a way so that two particular books are always at first and last place. Find the no. of arrangements.

a)

60

b)

120

c)

240

d)

480

35.

In how many ways a letter "SHRIKANT" can be arranged so that it will start with "S" only and ends with "T" only.

a)

360 ways

b)

1440 ways

c)

720 ways

d)

540 ways