1. Fill in the blanks :
i) 20.608 dm.= — Dm.
ii) 5 Kg. 5gm.= — Hg.
iii) Rs. 8 and 8 paise = Rs. — .
iv) Rs. 1210 paise = — .
v) 0.30.3 — = 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 4.55042.88=1.58, then find the quotient of 0.455040.288.
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) 28241891214816
b) 100 [12+4{20242(1042) 3}]
c) 2 [2+2{2+2(2+24)}]
d) 715901412541618+10+8
e) 1[1+1{1+1(1+12)}]
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.
Answers
Answered by
6
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
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