51. If cot 60° + cosec 60° = x, then the value of x is
52. Two cars travel from city A to city B at a speed of 42 and 60 km/hr respectively. If one car takes 2 hours lesser time than the other car for the journey, then the distance between City A and City B is:
53. If $$\sqrt{\frac{(1 - cosA)}{2}}=x$$, then the value of x is
54. If 1 + secA = x, then the value of x is
55. A cone of radius 7 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 3.5 cm. What will be the height of water in this vessel?
56. What is the length of the side of an equilateral triangle, if its area is 64√3 sq cm?
57. A vendor buys pens at the rate of 4 for Rs 5 and sells at the rate of 4 for Rs 3. What will be the result?
58. Simple interest on a certain sum of money for 3 years at 18% per annum is half the compound interest on Rs. 9000 for 2 years at 10% per annum. The sum placed on simple interest is:
59. Find k, if the line 4x+y = 1 is perpendicular to the line 5x+ky = 2?
60. The mean of marks secured by 55 students in division A of class X is 58, 45 students of division B is 54 and that of 75 students of division C is 52. Find the mean of marks of the students of three divisions of Class X.
61. Find length of the arc whose central angle is 90° and radius of the circle is 3.5 cm?
62. The ratio of present ages of Ratnabali and Shaukat is 8:5. After 22 years the ratio of their ages will be 10:9. At present, what is Ratnabali's age?
63. The area of an equilateral triangle is 9√3 sq cm, find height of the triangle?
64. Ticket for an adult is Rs 2200 and a child is Rs 990. One child goes free with two adults. If a group has 23 adults and 11 children, what is the discount the group gets?
65. If (8 + 10x) : (13x - 2) = 2, then the value of x is
66. If $$xy = -18$$ and $$x^{2} + y^{2} = 85$$, then find the value of (x + y).
67. A number is greater than twice its reciprocal by 31/4. Find the number.
68. If 2x - 3(x + 2) < 5 - 2x < - x + 2, then find the value of x.
69. Refer the below data table and answer the following question.
Who has the least weight to height ratio?
70. Refer the below data table and answer the following question.
What was the revenue of the company if its expenditure was Rs. 350 crore in the year when its % profit was the least ?
71. The following table shows the number of children in each house of a society.
What is the average number of children per house ?
72. Refer the below data table and answer the following question.
If the company has issued six lakh shares between its five partners and if Chinmay offers to sell 15,000 of his shares to Dhiraj, then dhiraj will have how many shares ?
73. In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase. to get over it
74. Improve the bracketed part of the sentence. I wish I (knew what was) wrong with my daughter.
75. In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.
Extreme anxiety, sorrow, or pain.
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Who has the least weight to height ratio?
What was the revenue of the company if its expenditure was Rs. 350 crore in the year when its % profit was the least ?
What is the average number of children per house ?
If the company has issued six lakh shares between its five partners and if Chinmay offers to sell 15,000 of his shares to Dhiraj, then dhiraj will have how many shares ?
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