126. If a (2+ √3) = b (2 - √3) then the value of 1/(a^2+1)+1/(b^2+1) is
127. If $$x\sin^{2} 60^{\circ}-\frac{3}{2} \sec60^{\circ} \tan^{2}30^{\circ}$$ + $$\frac{4}{5}\sin^{2}45^{\circ}\tan^{2}60^{\circ}=0$$ then x is
128. If ΔABC is right - angle at B, AB = 6 units, ∠C = 30° then AC is equal to
129. If $$7\sin\alpha=24 \cos\alpha;0
130. ∠ACB is an angle in the semicircle of diameter AB = 5 and AC : BC = 3 : 4. The area of the triangle ABC is
131. A, B and C are three points on a circle such that the angles subtended by the chords AB and AC at the centre 0 are 90° and 110° respectively. Further suppose that the centre ‘0’ lies in the interior L BAC. The L BAC is
132. If the lengths of the sides AB, BC and CA of a triangle ABC are 10 cm, 8 cm and 6 cm respectively and if M is the mid - point of BC and MN II AB to cut AC at N, then the area of the trapezium ABMN is equal to
133. A type of graph in which a circle is divided into sectors such that each sector represents a proportion of the whole is a
134. The value of x which satisfies the equation $$2 \csc^{2} 30^{\circ}+x \sin^{2}60^{\circ}-\frac{3}{4}\tan^{2}30^{\circ}=10$$ is
135. If $$2\sin\theta+\cos\theta-\frac{7}{3}$$ then the value of $$(\tan^{2}\theta-\sec^{2}\theta)$$ is
136. From a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30°. The height of the tower is
137. If 29 tan θ = 31, then the value of $$\frac{1+2sin\theta cos\theta}{1-2\sin\theta\cos\theta}$$
138. The categories of qualitative variables are represented by bars where the height of each bar is
139. In a cyclic quadrilateral ∠A+∠C=∠B+∠D=?
140. In the given figure, ∠ ONY = 50° and ∠ OMY = 15°. Then the value of the ∠ MON is
141.
The distribution of fruit consumption in a sample of 72 seventeen – year – old girls is given in the graph below. Study the graph and answer the questions. Distribution of fruit consumptionHow many of these girls ate fewer than two servings per day ?
142. What percent of these girls ate six or more servings per day ?
143. How many of these girls ate more than two servings but less than six servings per day ?
144. The following pie-chart shows the monthly expenditure of a family on food, clothing, rent. miscellaneous expenses and savings. What is the central angle for savings ?
145. The pie - chart gives the expenditure (in percentage) on various items and savings of a family during a month. Monthly savings of the family is 3,000. On which item is the expenditure maximum and how much is it ?
146.
In the following questions, some parts of the sentences have errors and some are correct. Find out which part of a sentence has an error. The number of that part is the answer. If a sentence is free from error, your answer is d) i.e. No error.The new device (a)/ aims at eliminating (b)/ the risk of short - circuiting. (c) / No error (d)
147. I wish to heartily ( a)/ congratulate you for (b)/ your astounding success, (c)/No error (d)
148. The visitor took the vacant seat (a)/ next from mine (b)/ one of the many huge sofas in the room. (c)/ No error (d)
149. He was ( a )/ a learnt man among lords, (b)/ and a lord among learned men. (c)/No error (d)
150. With our great annoyance (a)/ we found the ground (b)/ filled with broken glasses. (c)/ No error (d)
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How many of these girls ate fewer than two servings per day ?
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