Q1. The volume of a right circular cone is 486π cm³. The height of the cone is 2 times of its base radius. Find height of the cone.
(a) 21 cm
(b) 24 cm
(c) 18 cm
(d) 9 cm
(e) 6 cm
Q2. If the difference between selling price of an article when sold at 20% profit and 20% loss is Rs 60, then what is the cost price of the article?
(a) Rs 180
(b) Rs 120
(c) Rs 160
(d) Rs 150
(e) Rs 200
Q3. Aakash bought a mobile worth Rs 12000 and paid a rent of Rs 9000 from his salary. If he used 70% of the monthly salary for buying mobile and paying rent then find his monthly salary.
(a) Rs 20000
(b) Rs 21000
(c) Rs 79000
(d) Rs 35000
(e) Rs 30000
Q4. Himanshu invested Rs 42000 in a business. After 4 months, Kapil joins him with an investment of Rs P. If at the end of the year the profit is Rs 62000 and Profit share of Himanshu is Rs 42000. Find value of P.
(a) Rs 25000
(b) Rs 30000
(c) Rs 28000
(d) Rs 38000
(e) Rs 42000
Q5. 15 men can complete a work in 8 days while 10 women can complete the same work in 20 days. 7 men starts working and after 12 days they are replaced by 10 women. Find time taken by 10 women to complete the remaining work.
(a) 5 days
(b) 8 days
(c) 7 days
(d) 6 days
(e) 9 days
Directions (11-15): Study the following information carefully and answer the following questions.
3900 students of a school have the option to choose any of the 3 games viz. Cricket, Football and Badminton. The ratio of boys and girls is 8 :5. 20% of the boys opted to play only Badminton. 750 boys opted to play only Cricket. Girls who opted to play only football are 30% of total girls. Girls who opted to play only badminton are 320. One-fifth of the total girls opted for only cricket. Girls play only cricket and badminton together are 5% of total boys. 150 boys opted to play only cricket and football together. Total no. of students who play all the game together are 350. Boys opted to play only football are 60% of the boys who play only cricket. One-tenth of the total boys play all the three games together. 220 boys opted to play only football and badminton together. Girls who opted to play only cricket & football together are equal to girls who play only badminton & football together.
Q11. Which of the following game is opted by same no. of girls and boys?
(a) Only football
(b) Only cricket
(c) Only badminton
(d) All the game together
(e) Only cricket and badminton together
Q12. No. of boys who plays only football are what percent of no. of girls who plays only cricket?
(a) 80%
(b) 120%
(c) 150%
(d) 120%
(e) 100%
Q13. Find the difference between the students who opted for only cricket & badminton together and no. of students who opted to play all the games.
(a) 120
(b) 220
(c) 160
(d) 150
(e) 90
Q14. What is the average no. of boys who opted to play only cricket, only badminton and only Football?
(a) 480
(b) 650
(c) 740
(d) 560
(e) 720
Q15. What is the ratio between no. of boys who opted to play cricket to that of no. of girls who opted to play badminton?
(a) 24/13
(b) 12/25
(c) 20/13
(d) 23/15
(e) 25/13
Solutions
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