In the following questions, a question is followed by data in the form of two statements labelled as I and II. You must decide whether the data given in the statements are sufficient to answer the questions.
Is the triangle ABC, an acute angled triangle?
(I) The sides of the triangle are in the ratio 4 : 5 : 7
(II) The Length of the longer side is 28 cm.
If a is an integer, 100 < a < 200. then what is the value of a?. then what is the value of a?
(I) a gives remainder 5 when divided by 10.
(II) a is divisible by 11 .
How many books were old this month in your shop?
(I) Last month ... 87 books were sold.
(II) The number of books sold this month was 2 times that of last month.
What is the height of the moutain .
(I) The angle of elevation of the top of the mountain is $$60^{\circ}$$.
(II) The top of the mountain is seen from a point which is on horizontal line with the base.
If a, b, c are in geometric progression, then a + b + c =
(I) a = 7.
(II) The third term of the progression is twice the first term.
What is the Mode of the frequency distribution?
(I) The arithmetic mean is 58.
(II) The total frequency is 100.
What is the percentage increase in profit of the company X in the year 2016 with respect to that in 2014?
(I) The profit of the company in 014 was Rs.1 lakh, which 10% more than that in 2015.
(II) Company's profit in 2016 was Rs.2 lakhs whkh was Rs.1 lakh more than that in 2014.
Let L be the set of straight lines in a plane. Is the relation S defined on L a reflexive relation?
(I) $$l_{1}, l_{2} ∈ L$$
(II) $$(l_{1}, l_{2}) ∈ S \leftrightarrow l_{1} \perp l_{2}$$
How many students are there in the school?
(I) Out of the total number of girl in the school, 25% belong to age group below 10 years and these are 150 in number.
(II) The ratio of girls to boys in the school is 5 : 7.