Q1.If secθ-tanθ = 2 then, find the value of tan θ?
(a) 3/4
(b)(-3)/4
(c)(-3)/2
(d)(-3)/2
Q2.A boat is rowed downstream at 15.5 km/hr and upstream at 8.5 km/hr. The speed of the stream is:
(a) 3.5 km/hr
(b) 5.75 km/hr
(c) 6.5 km/hr
(d) 7 km/hr
Q3.The ratio between the speeds of two trains is 7:8. If the second train runs 400 km in 5 hours, the speed of the first train is:
(a) 70 km/hr
(b) 200 km/hr
(c) 250 km/hr
(d) 350 km/hr
Q4.If a student walks from his house to school at 5 km/hr, he is late by 30 minutes. However, if he walks at 6 km/hr, he is late by 5 minutes only. The distance of his school from his house is:
(a) 2.5 km
(b) 3.6 km
(c) 5.5 km
(d) 12.5 km
Q5.A mixture of a certain quantity of milk with 8L of water is worth 45 paise per litre. If pure milk be worth 54 paise per liter, how much milk is there in the mixture?
(a) 40 L
(b) 35 L
(c) 25 L
(d) 45 L
Q6.Jagatram, a milk seller has a certain quantity of milk to sell. In what ratio, he should mix water to gain 5% by selling the mixture at the cost price?
(a) 1 : 10
(b) 1 : 5
(c) 1 : 20
(d) 1 : 15
(e)None of these
Q7.A trader marks his goods at such a price that he can deduct 15% of cash and yet make 20% profit. The marked price of an item which cost him Rs. 90, is:
(a) Rs. 1996/21
(b) Rs. 2208/21
(c) Rs. 2160/17
(d) Rs. 1766/13
Q8.A fruit seller buys lemons at 2 for a rupee and sells them at 5 for 3 rupees. His gain percent is:
(a) 10%
(b) 15%
(c) 20%
(d) 25%
Q9. A person sells an article for Rs. 75 and gains as much percent as the cost price of the article in rupees. The cost price of the article is:
(a) Rs. 37.50
(b) Rs. 40
(c) Rs. 50
(d)Rs. 150
Q10.A shopkeeper claims to sell his articles at a discount of 10%, but marks his articles by increasing the cost of each by 20%. His gain percent is:
(a) 6%
(b) 8%
(c) 10%
(d) 12%
Q11.A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had bought it at 25% less and sold it for Rs. 10 less, then he would have gained 40%. The cost price of the pair of sunglasses is:
(a) Rs. 25
(b) Rs. 50
(c) Rs. 60
(d) Rs. 75
Q12.The average age of 11 players of a cricket team is decreased by 2 months when two of them aged 17 years and 20 years are replaced by two new players. The average of the new players is
(a) 17 years 1 month
(b) 17 years 7 month
(c) 17 years 11 month
(d)18 years 3 month
Q13.The average marks of 28 students in Mathematics were 50. Eight students left the school and then this average increased by 5. What is the average of marks obtained by the students who left the school?
(a) 37.5
(b) 42.5
(c) 45
(d)50.5
Q14.A train moves with a speed of 30 km/hr for 12 minutes and for next 8 minutes at a speed of 45 km/hr. the average speed of the train is:
(a) 37.5 km/h
(b) 36 km/h
(c) 48 km/h
(d) 30 km/h
Q15.When the average age of a husband and wife and their son was 42 years, the son got married and a child was born just one year after their marriage. When the child turned to be 5 years, then the average of the family became 36 years. What was the age of daughter-in-law at the time of marriage?
(a) 26 years
(b) 25 years
(c) 24 years
(d) 23 years
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