SSCCGL2012Tier11JulyNZEveningV Related Question Answers

101. A certain number when divided by 899 leaves the remainder 65. When the same number is divided by 31, the remainder is :

102. If G is the centroid and AD, BE, CF are three medians of triangle ABC with area 72 sq cm , then the area of triangle BDG is :

103. If a + b = 6, a - b = 2, then the value of 2*(a^2 + b^2 ) is :

104. The odd element in the sequence 3, 7, 13, 21, 33, 43, 57, is :

105. The tangents drawn at the points A and B of a circle centred at 0 meet at P. If ∠AOB = 120° then ∠APB : ∠APO is :

106. From the top of a cliff 90 metre high, the angles of depression of the top and bottom of a tower are observed to be 30° and 60° respectively. The height of the tower is :

107. The least positive integer which is a perfect square and also divisible by each of 21, 36 and 66 is :

108. The value of x when 5% of √2x is 0.01 will be :

109. If $$\sqrt{\frac{x-a}{x-b}}+\frac{a}{x}=\sqrt{\frac{x-b}{x-a}}+\frac{b}{x}$$ and $$b \neq a$$, then the value of $$x$$ is

110. If $$x = \frac{2\sqrt{24}}{\sqrt{3}+\sqrt{2}}$$, then the value of $$\frac{x+\sqrt{8}}{x-\sqrt{8}}+\frac{x+\sqrt{12}}{x-\sqrt{12}}$$ is

111. If $$a=\frac{2+\sqrt{3}}{2-\sqrt{3}}$$ and $$b=\frac{2-\sqrt{3}}{2+\sqrt{3}}$$, then the value of $$a^2+b^2+a \times b$$ is

112. If secθ - cosecθ = 0, then the value of (secθ + cosecθ) is :

113. A and B can separately do a piece of work in 20 and 15 days respectively. They worked together for 6 days after which B was replaced by C. The work was finished in next 4 days. The number of days in which C alone could do the work is :

114. If $$x = \frac{2\sqrt{6}}{\sqrt{3}+\sqrt{2}}$$, then the value of $$\frac{x+\sqrt{2}}{x-\sqrt{2}} + \frac{x+\sqrt{3}}{x-\sqrt{3}}$$ is

115. Side AB of rectangle of ABCD is divided into four equal parts by points X, Y, Z respectively. The ratio of the areas of Triangle XYC and the rectangle ABCD is ?

116. If the length of a chord of a circle, which makes an angle 45° with the tangent drawn at one end point of the chord, is 6cm, then the radius of the circle is :

117. A man buys one table and one chair for Rs. 500. He sells the table at a loss of 10% and the chair at a gain of 10%. He still gains Rs. 10 on the whole. The cost price of the chair is:

118. The three medians AD, BE and CF of triangle ABC intersect at point G. If the area of triangle ABC is 60 sq.cm. then the area of the quadrilateral BDGF is :

119. The rate of simple interest at which a sum of money becomes three times in 25 years is :

120. If p sin θ = √3 and p cos θ = 1, then the value of p is :

121. ABCD is a trapezium, such that AB = CD and AD is parallel to BC. AD = 5 cm, BC = 9 cm. If area of ABCD is 35 sq.cm, then CD is :

122. If xsin^3 θ + y cos^3 θ = sinθ * cosθ ≠ 0 and x sinθ - y cosθ = 0, then value of (x^2 + y^2 ) is

123. If $$\sqrt{4x-9}+\sqrt{4x+9}=5+\sqrt{7}$$, then the value of $$x$$ is

124. If $$u_n = cos^n α + sin^n α$$, then the value of $$2u_6 - 3u_4 +1$$ is :

125. The value of $$\sqrt{-\sqrt{3}+\sqrt{3+8\sqrt{7+4\sqrt{3}}}}$$ is

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SSCCGL2012Tier11JulyNZEveningV Related Question Answers

101. A certain number when divided by 899 leaves the remainder 65. When the same number is divided by 31, the remainder is :

102. If G is the centroid and AD, BE, CF are three medians of triangle ABC with area 72 sq cm , then the area of triangle BDG is :

103. If a + b = 6, a - b = 2, then the value of 2*(a^2 + b^2 ) is :

104. The odd element in the sequence 3, 7, 13, 21, 33, 43, 57, is :

105. The tangents drawn at the points A and B of a circle centred at 0 meet at P. If ∠AOB = 120° then ∠APB : ∠APO is :

106. From the top of a cliff 90 metre high, the angles of depression of the top and bottom of a tower are observed to be 30° and 60° respectively. The height of the tower is :

107. The least positive integer which is a perfect square and also divisible by each of 21, 36 and 66 is :

108. The value of x when 5% of √2x is 0.01 will be :

109. If $$\sqrt{\frac{x-a}{x-b}}+\frac{a}{x}=\sqrt{\frac{x-b}{x-a}}+\frac{b}{x}$$ and $$b \neq a$$, then the value of $$x$$ is

110. If $$x = \frac{2\sqrt{24}}{\sqrt{3}+\sqrt{2}}$$, then the value of $$\frac{x+\sqrt{8}}{x-\sqrt{8}}+\frac{x+\sqrt{12}}{x-\sqrt{12}}$$ is

111. If $$a=\frac{2+\sqrt{3}}{2-\sqrt{3}}$$ and $$b=\frac{2-\sqrt{3}}{2+\sqrt{3}}$$, then the value of $$a^2+b^2+a \times b$$ is

112. If secθ - cosecθ = 0, then the value of (secθ + cosecθ) is :

113. A and B can separately do a piece of work in 20 and 15 days respectively. They worked together for 6 days after which B was replaced by C. The work was finished in next 4 days. The number of days in which C alone could do the work is :

114. If $$x = \frac{2\sqrt{6}}{\sqrt{3}+\sqrt{2}}$$, then the value of $$\frac{x+\sqrt{2}}{x-\sqrt{2}} + \frac{x+\sqrt{3}}{x-\sqrt{3}}$$ is

115. Side AB of rectangle of ABCD is divided into four equal parts by points X, Y, Z respectively. The ratio of the areas of Triangle XYC and the rectangle ABCD is ?

116. If the length of a chord of a circle, which makes an angle 45° with the tangent drawn at one end point of the chord, is 6cm, then the radius of the circle is :

117. A man buys one table and one chair for Rs. 500. He sells the table at a loss of 10% and the chair at a gain of 10%. He still gains Rs. 10 on the whole. The cost price of the chair is:

118. The three medians AD, BE and CF of triangle ABC intersect at point G. If the area of triangle ABC is 60 sq.cm. then the area of the quadrilateral BDGF is :

119. The rate of simple interest at which a sum of money becomes three times in 25 years is :

120. If p sin θ = √3 and p cos θ = 1, then the value of p is :

121. ABCD is a trapezium, such that AB = CD and AD is parallel to BC. AD = 5 cm, BC = 9 cm. If area of ABCD is 35 sq.cm, then CD is :

122. If x*sin^3 θ + y *cos^3 θ = sinθ * cosθ ≠ 0 and x sinθ - y cosθ = 0, then value of (x^2 + y^2 ) is

123. If $$\sqrt{4x-9}+\sqrt{4x+9}=5+\sqrt{7}$$, then the value of $$x$$ is

124. If $$u_n = cos^n α + sin^n α$$, then the value of $$2u_6 - 3u_4 +1$$ is :

125. The value of $$\sqrt{-\sqrt{3}+\sqrt{3+8\sqrt{7+4\sqrt{3}}}}$$ is

122. If xsin^3 θ + y cos^3 θ = sinθ * cosθ ≠ 0 and x sinθ - y cosθ = 0, then value of (x^2 + y^2 ) is