126. The shadow of a tower standing on a level ground is found to be 40 metre longer when the suns altitude is 30° than when it is 60°. Find the length of the tower,
127. The length of the shadow of a tower is 9 metres when the sun’s altitude is 30°. What is the height of the tower ?
128. $$(\frac{1}{2}(a-b))^2+ab=p(a+b)^2$$ then the value of p is (assume that a ≠ - b)
129. If 999x + 888y = 1332 and 888x + 999y = 555, then $$x^{2} - y^{2}$$ Is equal to
130. In two similar triangles ABC and MNP, if AB = 2.25 cm, MP = 4.5 cm and PN = 7.5 cm and m ∠ACB = m ∠MNP and m ∠ABC = m ∠MPN, then the length of side BC , in cm, is
131. Given an equilateral Δ ABC, D, E and F are the mid-points of AB, BC and AC respectively. Then the quadrilateral BEFD is exactly a :
132. If ABCD is a cyclic parallelogram, then the LA is
133. AC is a chord of circle whose centre is at 0. If B is any point on the arc AC and ∠OCA = 20°, then the magnitude of ∠ABC is
134. The co-ordinates of the vertices of a right-angled triangle are P (3, 4), QA(7, 4) and R (3, 8), the right-angle being at P. The co-ordinates of the orthocentre of APQR are
135. The value of (sec θ + cosec θ) when θ = 45°, is
136. $$\frac{\tan^{2}\theta}{\sec\theta+1}-sec\theta$$ is equal to
137. A line graph
138. The heights of two similar right-angled triangles ΔLMN and ΔOPQ are 48 cm and 36 cm. If OP = 12 cm, then LM is
139. Which of the following graphical representations of data represents cumulative frequencies ?
140. In the given figures, the lengths of the sides of ΔABC and ΔPQR are given and they are given in same units. Also ∠A and ∠B are given. Then value of ∠P is
141. In the given figure, O is the centre. Then angle PSQ is equal to
142. In the given figure, POQ is a diameter and PQRS is a cyclic quadrilateral. If ∠PSR = 130°, then the value of ∠RPQ is
143.
Study the following graph and answer the given questions. Crude Oil Imports by IndiaFrom year 1995 to the year 1996, what was the percentage increase in imports of crude oil?
144. From 1991 to 1992, what was the approximate percentage reduction in import of crude oil ?
145. In how many years were the imports higher than the average value of imports ?
146. If the rate of one barrel of crude oil was Rs. 25.60 in 1995, then what was the total value of imports (in Rs.) in that year ?
147.
In the following questions, some of the sentences have errors and some have none. Find out which part of a sentence has an error. The number of that part is your answer. If there is no error, your answer is (d) i.e., No error.The priest emphasised (a) / that it is the duty (b) / of all Christians to love each other (c)./ No error (d)
148. The pond is flooded (a) / with water because it is raining (b) / continuously for the last three days (c)./ No error (d)
149. Scaling the high wall, (a)/ a vast expanse of greenery (b) / reaching up to the horizon was seen. (c) / No error (d)
150. Any of the two (a) /roads leads/ (b) to the station.(c)/ No error (d)
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From year 1995 to the year 1996, what was the percentage increase in imports of crude oil?
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