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Q1 / 252.00 marks
The inner circumference of a circular track is 176 cm. If the track is 6 cm wide, what is the diameter of the outer circle?
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Q2 / 252.00 marks
X attempts 94 questions and gets 141 marks. If for every correct answer 4 marks is given, and for every wrong answer 1 mark is deducted, then the number of questions wrongly answered by X is ____.
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Q3 / 252.00 marks
Three pipes A, B, and C together can fill a tank in 1 hour 40 minutes. If pipe A can fill the tank in 45 minutes and pipe C can empty the tank in 3 hours, then which of the following statement is true for pipe B?
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Q4 / 252.00 marks
If the price of petrol increases by 30% and A intends to spend only an additional 20% on petrol. By how much % will he reduce the quantity of petrol purchased?
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Q5 / 252.00 marks
Find the greatest four-digit number which is divisible by 12, 20 and 25.
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Q6 / 252.00 marks
The base area of a cylinder is 2710.62 _________ 7 sq. cm and height is 35 cm. What is the curved surface area (in sq. cm) of the cylinder? (Take π = 22 _________ 7 )
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Q7 / 252.00 marks
If V = 5 _________ 2 of( 12 - 3 ) × 4 _________ 45 and U = 25% of 400 + 20 × 5, then find the value of U - V.
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Q8 / 252.00 marks
A solid cone whose height is 24 cm and radius of the base is 14 cm is melted and recast into a regular pyramid of equilateral triangle. If the height of the pyramid is 77√3 cm, then what is side of the base of triangular base of the pyramid?
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Q9 / 252.00 marks
Numbers of boys and girls in a class are 'x' and 'y' respectively. Average age of girls and boys are 'a' years and 'b' years respectively. The average age (in years) of all boys and girls is -
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Q10 / 252.00 marks
If 2 tan X + cot X = √5 cot (90 - X), then find the value of tan 2 X.
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Q11 / 252.00 marks
Vishal and Vinod started a busines with Rs.12000 and Rs.15000 respectively. After one year, Vishal withdrew p% of his capital while Vinod added Rs.3000 to his capital. If the profit received by Vishal and Vinod after 3 years partnership is in the ratio 8: 17 respectively, then find the value of p.
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Q12 / 252.00 marks
A shopkeeper offers the following discount schemes. Find the scheme with the minimum discount. (A) Two successive discounts of 20% and 10% (B) Discount of 28% (C) Buy 5 get 1 free (D) Buy 7 get 2 free
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Q13 / 252.00 marks
Sejal must prepare 40 litres of an acid solution of strength 45% using 30% acid and 80% acid. How many litres should she draw from the 80% acid?
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Q14 / 252.00 marks
Which of the following has more area? (I) An equilateral triangle of side length 6√3 cm. (II) A square whose length of diagonal is 3√6 cm.
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Q15 / 252.00 marks
Find the value of k if the points A(2, 3), B(4, k) and C(6, -3) are collinear.
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Q16 / 252.00 marks
Anuj sold a watch to Shivam at a gain of 30% and Shivam sold it to Harshit at a loss of 15%. Harshit paid Rs.2210 for it. How much did Anuj pay for the watch?
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Q17 / 252.00 marks
A policeman travelling at 85 km/h chases a thief 1600m away from him and travelling at 69 km/h. What is the time taken by the policeman to catch the thief?
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Q18 / 252.00 marks
The sum 1 _________ √2 + 1 + 1 _________ √3 + √2 + 1 _________ √4 + √3 + ...... + 1 _________ √100 + √99 is
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Q19 / 252.00 marks
The cost price and the selling price of wheat are the same. Due to a faulty weighing machine, the seller earns a 35% profit. If Rs. X is the cost price of 1000 gm wheat and the machine is changed which shows 1000 gm instead of 900 gm, what should be the selling price (in Rs.) now to get the same percentage of profit?
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Q20 / 252.00 marks
In a right-angled triangle ABC, AB ⊥ BC and BD ⊥ AC. If BC = 40cm and AC = 41cm then find the length of BD (up to two decimal).
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Q21 / 252.00 marks
A certain amount invested at a certain rate, compounded annually grows to an amount in seven years, which is 1.3225 times to what it would have grown in five years. What is rate percentage?
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Q22 / 252.00 marks
A contractor hires 36 men for a work, they complete 3/4th of the work in 15 days. After that work is stopped due to rain. 25% of the completed work is destroyed by rain and 6 men falls sick. Find the time in which remaining work will be completed. ?
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Q23 / 252.00 marks
If x 2 + 1 _________ 4x 2 = 37, then find the value of x 3 - 1 _________ 8x 3
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Q24 / 252.00 marks
Find the value of cot 66°(sin 24° sin 66° sec 24° + sin 2 24° sec 66°) _________ sin 24° tan 2 24° tan 66°
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Q25 / 252.00 marks
Simplify: [ y _________ z - z _________ y ][ z _________ x - x _________ z ][ x _________ y - y _________ x ] [ 1 _________ y 2 - 1 _________ x 2 ][ 1 _________ x 2 - 1 _________ z 2 ][ 1 _________ z 2 - 1 _________ y 2 ]
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