2017SSCCGL12AugShift-2 Related Question Answers

76. The lengths of two parallel sides of a trapezium are 21 cm and 9 cm. If its height is 10 cm, then what is the area $$(in cm^2)$$ of the trapezium?

77. What will be the net discount percentage of three successive discounts of 20%, 10% and 30%?

78. Three bottles of equal capacity have mixture of milk and water in ratio 5 : 7, 7 : 9 and 2 : 1 respectively. These three bottles are emptied into a large bottle. What is the percentage of milk in the new mixture?

79. Seven friends spent Rs 14 each on a project and the eighth friend spent Rs 21 more than the average expenditure of all eight of them. What is the amount of total money (in Rs) spent by them?

80. A person sold his pen for Rs 24 and his profit percentage was numerically equal to the cost price. What was the cost price (in Rs) of the pen?

81. A, B and C are three students. A got 36% less marks than B and 16% more marks than C. If B got 145 marks, then what are the marks got by C?

82. After repairing a scooter runs at a speed of 54 km/h and before repairing runs at speed of 48 km/h. It covers a certain distance in 6 hours after repairing. How much time will it take to cover the same distance before repairing?

83. If a certain sum of money become thrice of itself in 5 years 4 months at simple interest, then what will be the yearly rate of interest (in %)?

84. If a + b + c = 11 and ab + bc + ca = 17, then what is the value of $$a^3 + b^3 + c^3 - 3abc$$ ?

85. If $$x^4+\frac{1}{x^4}=62$$, then what is the value of $$x^6+\frac{1}{x^6}$$?

86. If x+y=4, then what is the value of $$\frac{2}{x-2}+\frac{2}{y-2}$$ ?

87. If $$(\frac{x}{5})+(\frac{5}{x})=-2$$, then what is the value of $$x^3$$?

88. In ΔPQR, ∠QPR = 45° and the bisectors of ∠PQR and ∠PRQ meets at O. What is the value (in degrees) of ∠QOR?

89. In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 30°, then what is the value (in degrees) of ∠PBC?

90. In the given figure, PQRS is a rectangle and PTU is a triangle. If PQ = 11 cm, UR = 8 cm, TR = 1 cm and QT = 3 cm, then what is the length (in cm) of the line joining the mid points of PT and TU?

91. In the given figure, area of isosceles triangle PQT is $$72cm^2$$. If QT = PQ, PQ = 2 PS and PTIISR, then what is the area $$(in cm^2)$$ of the trapezium PQRS?

92. What is the simplified value of (cosec A + sin A)(cosec A - sin A)?

93. What is the simplified value of $$\sqrt{\frac{sec\theta}{sec\theta-1}+{\frac{sec\theta}{sec\theta+1}}}$$ ?

94. What is the simplified value of $$[{\frac{cosA}{(1-tanA)}+{\frac{sinA}{(1-cotA)}}}]^2$$ ?

95. The line chart given below shows the per acre yield (in million tonnes) of tea of 7 countries. What is average per acre yield (in million tonnes) of these 7 countries?

96. What is the respective ratio of average per acre yield of the 3 countries having the highest yield to average per acre yield of the 3 countries having the least yield?

97. Total per acre yield of India and China is what percent of the total per acre yield of the remaining countries?

98. All the countries are arranged in ascending order of per acre yield. If bottom 2 countries increases their per acre yield by 20% and all other countries increase their per acre yield by 10%, then what is the new average per acre yield (in million tonnes)?

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