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Q3. If a + b = 2,(frac1 ma, + ,frac1 mb, = ,2)then what is the value of a3+b3?
Q4. If(x,, + ,,frac1x = ,frac52)then what is the value of the following?(frac5x7x^2, - ,3x, + ,7)
Q5. If x = 9999, then what is the value of the following?(frac4x^3, - ,xleft( 2x, + ,1 ight)left( 6x, - ,3 ight))
Q6. If(fracx - yxsqrt y , + ,ysqrt x , = ,frac1sqrt x ;left( x, > ,0,y, > ,0 ight))then what is the value of(fracxy)?
Q8. Consider a question and two statement :Question :Is(fracx^6, + ,y^6x^4, + ,y^4)always greater than(fracx^4, + ,y^4x^2, + ,y^2)(x≠ y≠ 0)?Statement – I : x > yStatement – II : x2 + y2 > 2xyWhich one of the following is correct in respect of the question & the statements?
Q9. Consider a question and two statements:Question :Is a2 + b2 + c2 – ab – bc – ca (a, b, c are distinct real numbers) always positive?Statement – I : a > b > cStatement – II : a + b + c = 0Which one of the following is correct in respect of the question & the statements?
Q10. Simplify.(frac2.5 imes 2.5 imes 2.5-1.5 imes 1.5 imes 1.52.5 imes 2.5+2.5 imes 1.5+1.5 imes 1.5)
Q4. If x ≠ 0, then the solution of(left( ma, m + , mx ight)^frac m2 m3, m + , m4left( ma, m - , mx ight)^frac m2 m3, m = , m5left( ma^ m2 m - , mx^ m2 ight)^frac m1 m3)is ______.
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Q5. S denotes the sum of two roots and p. Denotes the hàng hóa of two roots of the equation 3x2 – 6x + 4 = 0. What is the value of S – P?
Q7. If a + b = 2,(frac1 ma, + ,frac1 mb, = ,2)then what is the value of a3+b3?
Q8. If(x,, + ,,frac1x = ,frac52)then what is the value of the following?(frac5x7x^2, - ,3x, + ,7)
Q10. If x = 9999, then what is the value of the following?(frac4x^3, - ,xleft( 2x, + ,1 ight)left( 6x, - ,3 ight))
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Q1. At what rate of interest per annum, simple interest on Rs. 2560 will be Rs. 1728 in 4(frac12) years.
Q2. A boat travel 240 km downstream in 3 hours và the time is taken by the boat khổng lồ travel the same distance in upstream in 6 hours. Find the tốc độ of stream (in kmph).
Q4. The ratio of radii of a cylinder lớn a that of a cone is 1 : 2. If their heights are equal, find the ratio of their volumes
Q5. Find the weight of a cylindrical metal container with base radius 10.5 cm & height 6 m where the weight of 1 cm3of metal is 5 grams.
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Q8. The value of a smartphone phone depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 6561/-, its purchase price was.
Q9. Given below are two statements :Statement I : If two trains of length x km & y km are moving in the same direction at u kmph và v kmph respectively, where u >v, then time taken by faster train to cross the slower train is equal to(left( fracx + yu + v ight)) hrs.Statement II : If two trains are moving in opposite directions at u kmph & v kmph, Then, their relative tốc độ is equal to (u + v) kmph.In the light of the above statements, choose the correct answer from the options given below :