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Q1 / 25
2.00 marks
Find the value of 'k' for which the system of linear equations 5x + 2y - 7 = 0 and x - 3y + k = 0 has unique solution.
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Q2 / 25
2.00 marks
A trader mixes 26 kg of rice at Rs. 10 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is approximately:
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Q3 / 25
2.00 marks
ΔABC and ΔABD are on the common base AB and DC = 2BD. If AB ⟂ DC, then which of the following is correct?
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Q4 / 25
2.00 marks
The sum of two numbers is 216 and their H.C.F is 27. What are those two numbers?
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Q5 / 25
2.00 marks
When a shopkeeper sells an article for Rs 800, he numerically earns double the profit of what he would have lost had he sold it for Rs 500. If he is selling the article at 30% profit, find the S.P.
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Q6 / 25
2.00 marks
If 4ab + 1 _________ 3ab = 16, then what is the value of 3ab + 1 _________ 4ab
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Q7 / 25
2.00 marks
If √ 16 - 6√7 + √ 15 + 4√14 = √a + √b , where a and b are positive integers, then the value of ab is:
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Q8 / 25
2.00 marks
A boat can travel downstream with a speed of 52 km/hr. If the speed of boat in still water is 45 kmph, how much distance can the boat cover in 2 hours while going upstream?
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Q9 / 25
2.00 marks
The angle of elevation from the top of a tree to the top of a tower is 30° and the angle of elevation of the top of the tree from the foot of a tower is 30°. If the height of the tower is 132 m, then find the height of the tree.
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Q10 / 25
2.00 marks
The distance (d) a moving body travels varies directly with the time (t) when it moves. A boy travels 51 km in 3 hours. Find the equation that relates d and t.
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Q11 / 25
2.00 marks
There are two circles with centre O and O' having the radius 10 cm and 13 cm respectively. The length of the common chord is 10 cm. What is the distance between centre of the circles?
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Q12 / 25
2.00 marks
If the base area, height, and volume of a right hexagonal prism are (3√3 x 2 /2) cm 2 , 15√3 cm, and 17280 cm 3 respectively, find the value of x.
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Q13 / 25
2.00 marks
In what proportion must tea worth 75 paisa per packet be mixed with tea worth Rs. 5.50 per packet so that the mixture may cost Rs. 4.50 per packet?
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Q14 / 25
2.00 marks
C is the centre of a semicircle of radius 14 cm with AB as diameter. Point O lies on the semicircle such that AO = OB. Find the difference between the areas of the two shaded regions shown in the figure.
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Q15 / 25
2.00 marks
Which of the following is not a rational number?
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Q16 / 25
2.00 marks
Mohit, Nikhil and Parth invested Rs. 84,000, Rs. 1,05,000 and Rs. 1,47,000 respectively. All three remained in the business for the full year. If the total profit at the end of the year was Rs. 84,800, then how much profit did Nikhil receive?
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Q17 / 25
2.00 marks
A principal P is invested in two different schemes for 3 years. Scheme M offers simple interest at 20% per annum. Scheme N offers compound interest at 20% per annum compounded annually. If the amount from Scheme N exceeds that from Scheme M by Rs. 640, find P.
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Q18 / 25
2.00 marks
What is the value of following expression: secθ _________ cot(π/2 - θ) x sin 2 (π/2 - θ) _________ cosecθ
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Q19 / 25
2.00 marks
A work of Rs. 7500 was assigned to two workers A and B who can complete their work in 25 days and 75 days respectively. If they work alternately, find total amount received by A.
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Q20 / 25
2.00 marks
Bronze is an alloy which if contains 37% Alluminium , 11% Tin and rest copper, then how much copper is present in 15 kg of the Bronze?
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Q21 / 25
2.00 marks
What is the central angle of the sector of a circle of radius 12 cm whose area is 32π cm 2 ?
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Q22 / 25
2.00 marks
The weight of an aluminium cone is (7/9) times the weight of iron cone. If weight of 1 gm of aluminium is (9/7) times of the weight of 1 gm of iron cone and heights of both cones are equal, then what is the ratio of radius of aluminium cone to radius of iron cone?
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Q23 / 25
2.00 marks
What is the smallest positive integer that, when multiplied by 1.2, gives a whole number?
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Q24 / 25
2.00 marks
A right circular ice cream cone contains 147.84 cm 3 of ice cream. If the radius of cone is equal to 2.8cm, height of the cone is:
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Q25 / 25
2.00 marks
What is the maximum value of the sum of the series 78, 71, 64, 57, 50, ..... when terms are taken till they remain positive?
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