2017SSCCGL18AugShift-3 Related Question Answers

76. What is the area (in sq cm) of a rectangle if its diagonal is 51 cm and one of its sides is 24 cm?

77. A shopkeeper marks up his wares by 60% and offers 10% discount. What will be the selling price (in Rs) if the cost price is Rs 7500?

78. What number should be added to each of the numbers 94, 24, 100 and 26, so that the resulting numbers are in continued proportion?

79. A batsman makes a score of 81 runs in the 16th match and thus increases his average runs per match by 3. What is his average after the 16th match?

80. A vendor buys 12 bananas for Rs 60 and sells 5 bananas for Rs 32. What will be his gain (in %)?

81. Two labourers A and B are paid a total of Rs. 1120 per day. If A is paid 180 percent of what is paid to B, how much (in Rs) is B paid?

82. A man travelled a distance of 99 km in 9 hours. He travelled partly on foot @ 9 km/hr and partly on bicycle @ 18 km/hr. What is distance (in kms) travelled on foot?

83. The compound interest earned in two years at 15% per annum is Rs 20640. What is the sum invested (in Rs)?

84. If 5x/2 - [7(6x - 3/2)]/4 = 5/8, then what is the value of x?

85. If $$a^{3} - b^{3}$$ = 91 and a - b = 1, then what is the value of ab?

86. A positive fraction is greater than twice its reciprocal by 7/15. What is the fraction?

87. What is the sum of the first 17 terms of an arithmetic progression if the first term is -20 and last term is 28?

88. What is the reflection of the point (-3, 1) in the line x = -2?

89. The co-ordinates of the centroid of a triangle ABC are (2 , 2). What are the co-ordinates of vertex C if co-ordinates of A and B are (7 , -1) and (1 , 2) respectively?

90. If ax - 4y = -6 has a slope of -3/2. What is the value of a?

91. D and E are points on side AB and AC of ∆ABC. DE is parallel to BC. If AD:DB = 1:2 and area of ∆ABC is 45 sq cm, what is the area (in sq cm) of quadrilateral BDEC?

92. What is the value of √2 Sec 45° + (1/√3)Tan 30°?

93. Δ XYZ is right angled at Y. If m∠Z = 30°. What is the length of YZ (in cm), if ZX = 9 cm?

94. If Cos θ = 15/17 , then what is the value of Cosec θ?

95. The pie chart shows the annual car production (in millions) of six countries (A, B, C. D, E, F). Study the diagram and answer the following questions. Which country produced the second least number of cars?

96. Country E produced how many more cars (in %) than country B?

97. If 35% of the cars produced by these six countries are diesel and the rest are petrol, then how many petrol cars were produced (in millions)?

98. If on an average the cost price of a car is 30000 USD and environmental tax levied on each car is 2.5% of its cost price, how much environmental tax was collected (in billion USD) from production of cars in these 6 countries?

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