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Question 14 Marks
A drum of kerosene is $\frac{3}{4}$ full. When 30 litres of kerosene is drawn from it, it remains $\frac{7}{12}$ full.
Q.1. The capacity of the drum is :
(a) 120 $l$$\quad$(b) 150 $l$$\quad$(c) 180 $l$$\quad$(d) 168 $l$
Q.2. The quantity of kerosene in the drum is :
(a) 135 $l$$\quad$(b) 115 $l$$\quad$(c) 125 $l$$\quad$(d) 108 $l$
Q.3. If 15 $l$ of kerosene is added to the drum, what fraction of the capacity would be filled?
(a) $\frac{1}{2}$$\quad$(b) $\frac{2}{3}$$\quad$(c) $\frac{5}{6}$$\quad$(d) $\frac{5}{12}$
Q.4. If 35 $l$ of kerosene is drawn from the drum, what fraction of the capacity would be filled?
(a) $\frac{5}{9}$$\quad$(b) $\frac{7}{9}$$\quad$(c) $\frac{11}{18}$$\quad$(d) $\frac{13}{18}$
Answer
1. (C) 180 $l$$\qquad$2. (A) 135 $l$$\qquad$3. (C) $\frac{5}{6}$$\qquad$4. (A) $\frac{5}{9} $
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Question 24 Marks
A man spends $\frac{2}{5}$ of his salary on house-rent, $\frac{3}{10}$ of his salary on food and $\frac{1}{8}$ of his salary on conveyance. He saves the remaining ₹ 10500.
Q.1. The total salary of the man is :
(a) ₹ 52500$\quad$(b) ₹ 55000$\quad$(c) ₹ 57500$\quad$(d) ₹ 60000
Q.2. The amount spent on house-rent is :
(a) ₹ 30000$\quad$(b) ₹ 26000$\quad$(c) ₹ 24000$\quad$(d) ₹ 28000
Q.3. The amount spent on food is :
(a) ₹ 18000$\quad$(b) ₹ 20000$\quad$(c) ₹ 22500$\quad$(d) ₹ 24000
Q.4. The amount spent on conveynce is :
(a) ₹ 12000$\quad$(b) ₹ 10500$\quad$(c) ₹ 7500$\quad$(d) ₹ 15000
Answer
1. (D) ₹ 60000$\qquad$2. (C) ₹ 24000$\qquad$3. (A) ₹ 18000$\qquad$4. (C) ₹ 7500
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Question 34 Marks
The product of three numbers is $7 \frac{1}{2}$. If two of them are $1 \frac{1}{7}$ and $3 \frac{3}{4}$, find the third number.
Answer
$1 \frac{3}{4}$
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Question 44 Marks
In a school, $\frac{1}{25}$ of the students were absent on a certain day. If 720 students were present on that day, what is the total number of students in the school?
Answer
750
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Question 54 Marks
In an orchard, $\frac{1}{3}$ of the trees are guava trees, $\frac{1}{8}$ are banana trees and the rest are mango trees. If there are 117 mango trees in the orchard, how many trees in all are there?
Answer
216
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Question 64 Marks
An objective test was given to a group of 168 students. It was found that $\frac{5}{6}$ of the students gave all correct answers. How many students made 1 or more mistakes?
Answer
28
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Question 74 Marks
A man earns ₹ 25440 per month. He spends $\frac{1}{4}$ of it on house rent, $\frac{3}{8}$ on food and clothes, $\frac{1}{10}$ on insurance and $\frac{1}{5}$ on other items. The rest he saves. How much does he save each month?
Answer
₹ 1908
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Question 84 Marks
$\frac{2}{3}$ of the students in a class are boys and the rest are 17 girls.
(i) How many boys are there in the class?
(ii) What is the total strength of the class?
Answer
(i) 34$\quad$(ii) 51
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Question 94 Marks
After reading $\frac{5}{8}$ of a book, 168 pages are left. How many pages are there in all in the book?
Answer
448
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Question 104 Marks
A water tank can hold $56 \frac{1}{4}$ litres of water. How much water is contained in the tank when it is $\frac{8}{15}$ full?
Answer
30 liters
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Question 114 Marks
A man earns ₹ 18720 per month and spends $\frac{5}{6}$ of his income. Find his monthly
(i) exnenditure (ii) saving.
Answer
(i) ₹ 15600 (ii) ₹ 3120
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[4 marks sum] - MATHS STD 6 Questions - Vidyadip