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Q1 / 252.00 marks
Average of 24 numbers is 42.6. if seven numbers of avg. ‘x’ are added to them than average of all numbers increase by 1.4 the value of x is?
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Q2 / 252.00 marks
Simplify: 30 42 x 2/7 - 12 + 2
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Q3 / 252.00 marks
If √11 - √5 _________ √11 + √5 - √11 + √5 _________ √11 - √5 = a + b√55, then find a and b
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Q4 / 252.00 marks
A solid metal sphere of radius 10 cm is melted and reshaped into smaller solid spheres, each having diameter 4 cm. How many smaller spheres can be made?
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Q5 / 252.00 marks
A principal becomes 625 times in 4 years at compound interest, compounded annually. What is the annual compound interest rate?
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Q6 / 252.00 marks
A sector of a circle has a central angle of X° and another sector of the same circle has a central angle of (X + 15)°. If the difference between the areas of the two sectors is 9.24 cm 2 , then find the radius of the circle.
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Q7 / 252.00 marks
An article is sold at 20% profit. If its CP and SP are increases by Rs. 20 and Rs. 15 respectively, then percentage of profit decreases by 15%. Find its cost price?
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Q8 / 252.00 marks
If the curved surface area and the volume of a cylindrical pipe is 308mm 2 and 539mm 3 respectively then find the radius of the cylindrical pipe.
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Q9 / 252.00 marks
Two alloy types possess gold and silver in the ratio of 5 : 14 and 17 : 21. In what ratio should these alloys be mixed to have a new alloy in which gold and silver would exist in the ratio of 23 : 34?
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Q10 / 252.00 marks
If sin P = 8/17 and cos Q = 15/17, where P and Q are acute angles, find sin(P + Q).
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Q11 / 252.00 marks
Simplify: 1 + tan 2 x _________ 1 + cot 2 x * cosec 2 x _________ sec 2 x
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Q12 / 252.00 marks
A merchant buys (x + 10) kg of almonds at Rs. 60 per kg. He sells 20 kg at Rs. 72 per kg and the remaining quantity at Rs. 66 per kg. If his total profit is Rs. 300, then find the total quantity purchased.
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Q13 / 252.00 marks
P is 12% less than Q which is 15% more than R. T is 25% more than R. By approximately what percent P is less/more than T?
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Q14 / 252.00 marks
In a business P invests 1/5 th of the total investment for 1/3 rd of the time. Q invests 2/5 th of the total investment for half of the time and R invests the remaining investment for the whole time. What is the share of Q in the total profit of Rs.13680?
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Q15 / 252.00 marks
Two men A, B start walking from the same place in same direction at a speed of 15 m/sec and 12.5 m/sec respectively. After what time they will be 100 km apart?
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Q16 / 252.00 marks
A is 7 times of the complementary angle of B. If A and B are supplementary angles, then what is the measure of B?
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Q17 / 252.00 marks
Anil is 1.8 times as efficient as Naman. Working together the duo can complete a piece of work in 30 days. In how many days can Naman alone complete the same piece of work?
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Q18 / 252.00 marks
Find the area of largest triangle that can be inscribed in a semicircle of radius 7 cm.
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Q19 / 252.00 marks
Two number X and Y are such that Y - X = 12 and Y: X = 3: 1. Find the value of X + 3Y.
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Q20 / 252.00 marks
A decorative figure is formed by attaching two equal quarter-circles at the corner of each breadth of a rectangle externally. The length of the rectangle is equal to twice the radius of the quarter-circles. If the perimeter of the figure is 328 cm and the breadth of the rectangle is 4 cm more than the radius of each quarter-circle, find the area of the figure.
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Q21 / 252.00 marks
If p + q + r = 0, Find the value of ( p 2 + q 2 + r 2 ) 2 _________ ( p 2 q 2 + q 2 r 2 + r 2 p 2 )
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Q22 / 252.00 marks
A hollow cylindrical pipe has outer radius and inner radius in the ratio 4:3. Its length is 35 cm, and the volume of metal used in making the pipe is 6930 cm 3 . Find the outer radius. Use π = 22/7.
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Q23 / 252.00 marks
A tower of length 63 m is standing between two trees P and Q. If the angle of elevation of the top of the tower from point P and Q is 30° and 60° respectively, then find the distance between point P and Q.
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Q24 / 252.00 marks
The ratio between three numbers is 1: 9: 2. If the HCF of these numbers is 12, then find the difference between the least possible values of largest and smallest number.
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Q25 / 252.00 marks
The centroid of triangle XYZ is obtained from the coordinates X(1, 5), Y(4, -1), and Z(7, 2). A line of slope -2 passes through this centroid. What is the equation of the line in general form?
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