151. In a rhombus ABCD, $$\angle$$A = 60° and AB. = 12 cm. Then the diagonal BD is
152. The printed price of an article is 40% higher than its cost price. Then the rate of discount such that he gains 12% profit is
153.
Study the following frequency polygon and answer the questions. Given a line graph showing the number of students passed in Higher Secondary Examination in a school over the years 2008 to 2013.
The average of passed students in the years 2008, 2009, 2012 approximately is
154. The increase in percentage of passed students from 2008 to 2011 approximately is
155. The decrease in percentage of passed students from 2011 to 2012 approximately is
156. If $$\frac{\cos\alpha}{\sin\beta}=n$$ and $$\frac{\cos\alpha}{\cos\beta}=m$$ then the value of $$\cos^{2} \beta$$ is
157. The list price of a book is Rs. 100. A dealer sells three such books for Rs. 274.50 after allowing discount at a certain rate. Find the rate of discount.
158. If PQRS is a rhombus and $$\angle$$SPQ = 50°, then $$\angle$$RSQ is
159. ABC is a triangle and the sides AB, BC and CA are produced to E, F and G respectively. If $$\angle$$CBE = $$\angle$$ACF = 130° then the value of $$\angle$$GAB is
160.
In the following questions, the graph shows the demand and production of different companies. Study the graph and answer the questions.
The demand of company E is approximately what percentage of the production of company F ?
161. What is the difference between the average demand and the average production of the companies (in lakh tonnes)? [Approximately]
162. The production of company A is approximately what percent of the demand of company C ?
163. What is the ratio of the companies having more demand than production to those having more production than demand ?
164. A and B entered into a partnership investing Rs 16000 and Rs. 12000 respectively. After 3 months A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year by
165. Raj and Prem walk in opposite directions at the rate of 3 km and 2 km per hour respectively. How far will they be from each other after 2 hours ?
166. If 0° ≤ A ≤ 90°, the simplified form of the given expression sin A cos A (tan A - cot A) is
167. Out of four numbers the average of the first three is 16 and that of the last three is 15. If the last number is 20 then the first number is
168. The length of canvas, 75 cm wide required to build a conical tent of height 14m and the floor area 346.5 m2 is
169. ABC is a cyclic triangle and the bisectors of ∠BAC, ∠ABC and ∠BCA meet the circle at P, Q, and R respectively. Then the angle ∠RQP is
170. If $$x=\sqrt{a^3\sqrt{b}\sqrt{a^3}\sqrt{b}}$$.. then the value of x is
171. If θ is an acute angle and $$\tan^2\theta+\frac{1}{\tan^2\theta}=2$$ then the value of θ is :
172. If the cube root of 79507 is 43, then the value of $$\sqrt[3]{79.507}+\sqrt[3]{0.079507}+\sqrt[3]{0.000079507}$$
is
173. If tan θ + cot θ = 5, then $$tan^2 θ + cot^2 θ$$ is
174. A number exceeds its two fifth by 75. The number is
175. A, B and C can do a piece of work in 24, 30 and 40 days respectively. They began the work together but C left 4 days before completion of the work. In how many days was the work done ?
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The average of passed students in the years 2008, 2009, 2012 approximately is
The demand of company E is approximately what percentage of the production of company F ?
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