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Nepal
A retailer purchased a mobile for Rs 3,250 and sold it at \( 4 \% \) loss. \( \begin{array}{ll}\text { (i) Find his loss amount. } & \text { (ii) At what price did he sell the mobile? }\end{array} \)
Arithmetic Jan 21, 2025
3. Round off to 1 decimal place (d.p.) a) 3.43 b) 6.47 c) 17.142 d) 25.258 e) 0.386 4. Round off to 2 decimal places (d.p). a) 3.416 b) 8.321 c) 21.9832 d) 0.1647 e) 0.5273 5. Round off to 3 decimal laces (d.p) a) 5.1023 b) 12.6275 c) 15.47562 d) 0.27438 e) 0.08956 6. Kound off to 3,2 and 1 decimal places. a) 4.2134 b) 10.6579 c) 8.10925 d) 0.39768 7. Find the product and write the answers to 3 decimal places. a) \( 0.236 \times 0.6 \) b) \( 0.7934 \times 0.12 \) c) 1.053
Arithmetic Jan 21, 2025
Group - D The sum of three numbers in GP is 56 . If \( 1,7,21 \) are subtracted from the numbers respectively which form the consecutive term of an A.P. Find th original numbers. If \( (3,3),(6,4),(7,1) \) and \( (4,6) \) are the vertices of a cyclic quadrilateral, find the equation of circle.
Geometry Jan 21, 2025
\( \frac { 1 } { 1 + x ^ { a } + x ^ { - b } } + \frac { 1 } { 1 + x ^ { b } + x ^ { - c } } + \frac { 1 } { 1 + x ^ { c } + x ^ { - a } } = 1 \)
Algebra Jan 21, 2025
\( \frac { 1 } { 1 + x ^ { a } + x ^ { - b } } + \frac { 1 } { 1 + x ^ { b } + x ^ { - c } } + \frac { 1 } { 1 + x ^ { c } + x ^ { - a } } = 1 \)
Algebra Jan 21, 2025
2. Let's say and write the correct answers as quickly as possible. a) Convert these fractions into percents. a) \( \frac{1}{2}= \) b) \( \frac{1}{4}= \) \( \qquad \) c) \( \frac{1}{5}= \) d) \( \frac{1}{10}= \) b) Convert these decimals into percents. \( \qquad \) \( \qquad \) a) \( 0.05= \) \( \qquad \) b) \( 0.27= \) \( \qquad \) c) \( 0.45= \) \( \qquad \) d) \( 0.99= \) \( \qquad \) c) Convert these percents into fractions. a) \( 7 \%= \) \( \qquad \) b) \( 36 \%= \) \( \qquad \) c) \( 76 \%= \) \( \qquad \) d) \( 89 \%= \) \( \qquad \) d) Convert these percents into decimals. a) \( 4 \%= \) \( \qquad \) b) \( 25 \%= \) \( \qquad \) c) \( 61 \%= \) \( \qquad \) d) \( 88 \%= \) \( \qquad \) Creative Section - A 3. Convert the following fractions and decimals into percents. a) \( \frac{3}{4} \) b) \( \frac{4}{5} \) C) \( \frac{7}{10} \) d) \( \frac{9}{20} \) e) \( \frac{12}{25} \) f) \( \frac{43}{50} \) g) 0.06 h) 0.33 i) 0.45 j) 0.62 k) 0.75 l) 0.93 4. Convert the following percents into fractions of their lowest terms. a) \( 20 \% \) b) \( 25 \% \) c) \( 45 \% \) d) \( 64 \% \) e) \( 75 \% \) f) \( 80 \% \) (5.) Express the parts of whole as the percentage of the whole. a) 5 as a percent of 10 b) 6 as a percent of 15 c) Rs 40 as a percent of Rs 250 (d) 60 marks as a percent of 75 marks e) 9 months as a percentage of a year f) 250 gram as a percentage of 1 kg (6.) Express the following as percents. a) 4 out of 20 b) 60 marks out of 80 full marks c) 15 girls out of 75 pupils d) Rs 120 out of Rs 480 7. a) \( \frac{2}{5} \) of the number of students of a school are girls. (i) How many percentage of the students are girls? (ii) How many percentage of the students are boys? b) Mrs. Pyakurel spends \( \frac{13}{20} \) parts of her monthly income every month. (i) How many percentage of the income does she spend? (ii) How many percentage of the income does she save? 8. a) There are 360 students in a school. 198 of them are boys.
Arithmetic Jan 21, 2025
Two robots, working together, can complete a task in 2 hours. However, working individually, one robot longer than the other to finish the same task. a) What type of equation can be used to determine the time taken by each robot to complete the task individually? b) How long does each robot take to finish the task when working alone?
Algebra Jan 21, 2025
3. If \( A C=5 \mathrm{~cm}, \mathrm{BC}=4 \mathrm{~cm} \) and \( \angle B=90^{\circ} \), find the value of AB
Geometry Jan 20, 2025
d) A vegetable seller purchased 1 quintal of potatoes at Rs 35 per kg and sold at a loss of Rs 350 . Find: (i) the rate of selling price (ii) Loss percent.
Arithmetic Jan 20, 2025
c) A fruit seller sold 50 kg of oranges at the rate of Rs 80 per kg and gained Rs 800 . (i) Find the selling price of 50 kg of oranges. (ii) At what rate of price did he buy the oranges? (iii) Calculate his profit percent.
Arithmetic Jan 20, 2025
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