126. If $$(sin α + cosec α)^{2} + (cos α + sec α)^{2} = k + tan^{2}α + cot^{2}α,$$ then the value of k is
127. The angle of elevation of the top of a vertical tower situated perpendicularly on a plane is observed as 60° from a point P on the same plane. From another point Q, 10m vertically above the point P, the angle of depression of the foot of the tower is 30°. The height of the tower is
128. If sin 21°= x/y then sec21°- sin 69° is equal to
129. If sec α + tan α = 2, then value of sin α is (assume that 0 < α < 90°)
130. If 3 sin θ + 5 cos θ = 5, then the value of 5 sin θ - 3 cos θ will be
131. If θ is an acute angle and tan θ + cot θ = 2, then the value of $$tan^{5} θ + cot^{5} θ$$ is
132. ABCD is a parallelogram in which diagonals AC and BD intersect at 0. If E, F, G and H are the mid points of AO, DO, CO and BO respectively, then the ratio of the perimeter of the quadrilateral EFGH to the perimeter of parallelogram ABCD is
133. The simple value of tan 1°. tan 2°. tan 3° ..................... tan 89° is
134. The length of a tangent from an external point to a circle is 5√3 unit. If radius of the circle is 5 units, then the distance of the point from the circle is
135. In ΔABC, $$\angle{C}$$ is an obtuse angle. The bisectors of the exterior angles at A and B meet BC and AC produced at D and E respectively. If AB = AD = BE, then $$\angle{ACB}$$ =
136. ABC is an equilateral triangle and 0 is its circumcentre, then the ∠AOC is
137. ABCD is a cyclic quadrilateral. The side AB is extended to E in such a way that BE = BC. If ∠ADC = 70°, ∠BAD = 95°, then ∠DCE is equal to
138. If the sum of interior angles of a regular polygon is equal to two times the sum of exterior angles of that polygon, then the number of sides of that polygon is
139. In ∠PQR, S and T are points on sides PR and PQ respectively such that ∠PQR =∠PST. If PT = 5 cm, PS = 3 cm and TQ = 3 cm, then length of SR is
140. Two circles are of radii 7 cm and 2 cm their centres being 13cm apart. Then the length of direct common tangent to the circles between the points of contact is
141.
The following table gives zonewise survey report of the people of a country who take coffee. Study the table and answer the questions.
The percentage of people of south zone who take coffee at least once a day is close to
142. The percentage of people from non-west zone who take coffee ‘only once a week’ is approximately
143. The ratio of the total number of people surveyed who take coffee more than 3 times a day to the total number of people who do not take coffee at all is
144.
Study the following graph which shows income and expenditure of a company over the years and answer the questions.
The difference in profit (in Rs. crores) of the company during 2007 and 2008 is
145. In how many years was the expenditure of the company more than the average expenditure of the given years ?
146.
Study the following graph which shows income and expenditure of a company over the years and answer the questions.
The percentage increase in income of the company from 2007 to 2008 is
147.
Study the following graph which shows income and expenditure of a company over the years and answer the questions.
Ratio of total income to total expenditure of the company over the years is
148.
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.He feels his troubles (1)/ as much or (2)/ even more than they. (3)/ No error (4)
149. I like reading (1)/ more than (2)/ to play. (3)/ No error (4)
150. The old lady swooned (I)/ but was soon (2)/ restored at senses. (3)/ No error (4)
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