Question

1. Fill in the blanks :

i) 20.608 dm.= — Dm.

ii) 5 Kg. 5gm.= — Hg.

iii) Rs. 8 and 8 paise = Rs. — .

iv) Rs. 1210 paise = — .

v) 0.30.3 — = 0.9.

vi) 5 is a — of 35.

vii) Average of the first 10 natural numbers is — .

viii) 2 years 6 months 10 days = — months.

ix) 3 sq.m. 5 sq.cm. = — sq.dm.

x) — is the number in between 40 and 50 which is divisible by 21.

xi) What is the sixth number of the series : 11, 22, 33, …….. ?

xii) What is the ninth number of the series : 4, 9, 15, 22, 30, 39, ……. ?

xiii) Find the value of

92  52  144 .

xiv) Find the sum of : 1+3+5+7+…….+19.

xv) Express

3

1

33

% as a simple fraction.

xvi) Write the simplest form of 1.21 kg : 220 gm.

2. Write ‘Yes’ or ‘No’.

i) The year 1900 is a leap-year. ( )

ii) Every number is its multiple and factor. ( )

iii) Principal unit of length is Kilometre. ( )

iv) 5 sq. metre = 5 metre square. ( ). v) 7 men can do a work in 7 days; then 1 man can do the same work in 1

day. ( )

3. i) The cost of 2 m. tape is 75 paise in one shop and that of 3 m. tape is Rs.

1.12 in another shop. In which shop the rate is cheaper ?

ii) Beside the road between Narendrapur and Garia 49 trees are planted at a

gap of 250 m., two trees are planted at the two ends. What is the distance

between the two places ?

iii) Find the sum of the factors of 24 ?

iv) In how many ways 99 can be expressed as the product of two whole

numbers ?

v) By what prime numbers 149 be divided to leave remainder 6 in each case

?

vi) H. C. F. of two numbers is 6 and their L. C. M. is 72. Find the numbers.

vii) You get Rs. 56 in equal numbers of 1 rupee, 50 P. and 25 P. coins. How

many of each coin have you got ?

viii) If 4.55042.88=1.58, then find the quotient of 0.455040.288.

ix) Monthly income of a man is Rs. 210. He spends in 7 days what he earns

in 5 days. In how many days he will save Rs. 100 ?

x) Average marks of mathematics in the annual examination of three boys is

82. If the first boy gets 12 marks more and the second boy gets 6 marks

less than the mark of third boy, then what will be the mark in

mathematics of the third boy ?

4. Simplify :

a) 28241891214816

b) 100 [12+4{20242(1042) 3}]

c) 2 [2+2{2+2(2+24)}]

d) 715901412541618+10+8

e) 1[1+1{1+1(1+12)}]

5. Average of 5 consecutive numbers is 15, find the numbers.

6. The average weight of 4 boys is 42 Kg. The weight of the first, second and

third boys are 2 Kg. less, 5 Kg. more and 1 Kg. less than the weight of the

fourth boy. Find the weight of the fourth boy7. Find the perimeter of a square equal in area to two squares whose sides are 8

m. and 15 m. respectively in length.

8. Perimeter of a rectangular field is 150 m. and its length is 4 times its breadth.

Find the area of the field in areas.

9. The H. C. F. and L. C. M. of two numbers are 8 and 720 respectively; if one of

the numbers is 80, what is the other ?

10. From what sum must a fourth of it be removed so that if Rs. 5 is spent from a

third of the rest an amount of Rs. 10 still remains ?

11. A man gave

9

1

of his savings to each of his 3 sons and

8

1

of his savings to

each of his 2 daughters and the remaining part to his wife. If his wife gets Rs.

11000 more than each daughter, how much did he save ?

12. A number when divided by 6, 8 or 9 will leave a remainder of 3 in each case,

but is exactly divisible by 7. Find the number.

13. 24 Himalayan explorers had provisions for 30 days; after 5 days 4 of them

died of frost bite. How long will the remaining food last?

14. A basket of oranges was bought for the refreshment of the examinees. It was

found at the time of distribution that, if each boy is given 3 oranges, 10

oranges are left, but if each be given 4 oranges, 20 oranges fall short. How

many candidates and how many oranges were there ?

15. A and B are together 19 years 3 months 18 days old, B and C are together 19

years 1 month 3 days old, and A and C are together 18 years 1 month 25 days

old. How old is A ?

16. B has Rs. 44 more than what A has. If B gives Rs. 75 to A, how many rupees

will A have more than B.

17. The average age for 6 children is 35 months. If none is less than 30 months

old, then what is the maximum possible age for any one child ?

a) 60

b) 55

c) 50

d) 45

e) 65

18. Study the first two examples carefully. Find out the rule and apply the same in

the third case to get the solution.

a) If 4 A 6=28

and 8 A 9=80

then 10 A 10= ?b) If 5 B 10=1

and 10 B 30=2

then 20 B 80= ?

c) If 3 D 3=27

and 5 D 5=125

then 10 D 10= ?

19. If a clock strikes once at 1 o’clock, twice at 2 o’clock, etc.; how many times

will it strike in 24 hours ?

20. How much smaller is

1111111

99999 1 than 2 ?

21. On a rainy day 882 students attended a school. They were 75% of the total

students of the school. Find the total number of students of the school.

22. Annual income of a person is 75000. Ratio of his income and expenditure is

25 : 21. Find his annual savings.










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Answer 1

Answer:

Answer :

The two numbers are 90 and 60

Given :

Sum is 150

Ratio is 9:6

To find :

Two numbers

Solution :

Given,

Ratio is 9 : 6 then,

Let the first ratio be 9x

Let the second ratio be 6x

Sum is 150.

Substituting the value :

↦ 9x + 6x = 150

↦ 15x = 150

↦ x = 150/15

↦ x = 10

Finding the two numbers :

↦ 9x = 9(10) = 90

↦ 6x = 6(10) = 60

Hence,

The two numbers are 90 and 60

Verification :

↦ 9x + 6x = 150

↦ 9(10) + 6(10) = 150

↦ 90 + 60 = 150

↦ 150 = 150

Hence, Verified