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You Are On Multi Choice Question Bank SET 4017

200851. A boy standing in the middle of a field, observes a flying bird in the north at an angle of elevation of 30° and after 2 minutes, he observes the same bird in the south at an angle of elevation of 60°. If the bird flies all along in a straight line at a height of 50 m, then its speed in km/h is :





200852. The perimeter of an isosceles, right­ angled triangle is 2p unit. The area of the same traingle is :





200853. ΔABC and ΔDEF are similar and their areas be respectively 64 cm2 and 121 cm2. If EF = 15.4 cm, BC is:





200854. If G is the centroid of ΔABC and AG = BC, then ∠BGC is:





200855. If tan(x + y) tan(x - y) = 1, then the value of tan x is :





200856. In a partnership business, A invests 1/6th of the capital for 1/6 of the total time, B invests 1/4 of the capital for 1/4 of the total time and C, the rest of the capital for the whole time. Out of a profit of 19,400, B's share is :





200857. A jar contains a mixture of two liquids A and B in the ratio 4 : 1. When 10 litre of the mixture is replaced with liquid B, the ratio becomes 2 : 3. The volume of liquid A present in the jar earlier was:





200858. If (5x^2 - 3y^2): xy = 11:2, and x,y are positive, then the value of x/y is:





200859. By decreasing 15° of each angle of a triangle, the ratios of their angles are 2:3:5, The radian measure of greatest angle is :





200860. The least value of 4cosec^2 α + 9sin^2 α is:





200861. The greatest number that will divide 19,35 and 59 to leave the same remainder in each case is:





200862. The average temperature of Monday, Tuesday and Wednesday was 30° C and that of Tuesday, Wednesday and Thursday was 33° C. If the temperature on Monday was 32° C, then the temperature on Thursday was :





200863. If $$ a =\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}$$ and $$b=\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$$ then $$\frac{a^2}{b}+\frac{b^2}{a}$$





200864. The next term of the series ­-1, 6,25, 62,123, 214,_____ is :





200865. O is the circum centre of the triangle ABC with circumradius 13 cm. Let BC = 24 cm and OD is perpendicular to BC. Then the length of OD is.





200866. If ax + by = 6, bx - ay = 2 and x^2 + y^2 = 4, then the value of (a^2 + b^2) would be:





200867. The area of the largest triangle that can be inscribed in a semi circle of radius x in square unit is :





200868. D and E are the mid­points of AB and AC of ΔABC; BC is produced to any point P; DE, DP and EP are joined. Then,





200869. If a + 1/a = 1, then the value of a^2 + 1/a^2 is :





200870. The mean of 19 observations is 24. If the mean of the first 10 observations is 17 and that of the last 10 observations is 24, find the 10th observation.





200871. A watch is sold at a profit of 30%. Had it been sold for Rs. 80 less, there would have been a loss of 10%. What is the cost price in rupees ?





200872. A train overtakes two persons who are walking in the same direction in which the train is running, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train (in metres)





200873. The length of the common chord of two circles of radii 15 cm and 20 cm whose centres are 25 cm apart is (in cm) :





200874. If a commission of 10% is given on the marked price of a work, the publisher gains 20%. If the commission is increased to 15%, the gain percent is:





200875. If $$2\sqrt{x} = \frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}} + \frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}$$





200876. If x = 2 + √3 , then the value, $$\sqrt{x} + \frac{1}{\sqrt{x}}$$





200877. If 12 men or 18 women can reap a field in 14 days, then working at the same rate, 8 men and 16 women can reap the same field in :





200878. By selling 9 articles for a rupee, a man incurred a loss of 4%. To make a gain of 44%, the number of articles to be sold for a rupee is :





200879. $$1 - \frac{sin^2 A}{1 + cos A} + \frac{1 + cos A}{sin A} - \frac{sin A}{1 - cos A}$$





200880. If a^3 - b^3 = 56 and a - b = 2, then the value of (a^2 + b^2 + ab) is :





200881. If tanθ - cotθ = α and cosθ sinθ = b, then the value of (a^2 + 4) (b^2 - ­1)^2 is:





200882. Area of the trapezium formed by x­ axis; y­ axis and the lines 3x+4y=12 and 6x+ 8y=60 is:





200883. Area of the triangle formed by the graph of the line 2x - 3y + 6 = 0 along with the coordinate axes is





200884. If (a^2 - ­b^2) sin θ + 2 ab cosθ = a^2 + b^2, then the value of tanθ is





200885. Prabhat took a certain amount as a loan from a bank at the rate of 8% p.a. simple interest and gave the same amount to Ashish as a loan at the rate of 12% p. a. If at the end of 12 years, he made a profit of 960 in the deal, then the original amount was:





200886. AB is a diameter of a circle with centre O. CD is a chord equal to the radius of the circle. AC and BD are produced to meet at P. Then the measure of ∠APB is :





200887. R and r are the radius of two circles (R > r). If the distance between ­the centre of the two circles be d, then length of common tangent of two circles is :





200888. P is a point outside a circle and is 13 cm away from its centre. A secant drawn from the point P intersects the circle at points A and B in such a way that PA = 9 cm and AB = 7 cm. The radius of the circle is :





200889. If a + 1/a+2 = 0, then the value of $$(a+2)^{2}+\frac{1}{(a+2)^{3}}$$ is





200890. If $$\alpha$$ is a positive acute angle and $$2sin\alpha + 15cos^{2}\alpha = 7$$, then the value of cota is:2





200891. $$\frac{1+876542\times876544}{876543\times876543}$$ is equal to





200892. The perimeters of two similar triangles ΔABC andCare 36cm and 24 cm respectively. If PQ = 10 cm, then AB is:





200893. The number of mobile simcards in 4 states are given in multiple bar diagrams. Study the diagram and answer the questions.In Assam, the ratio of Aircell simcard and Airtel simcard sold is:
 





200894. The number of mobile simcards in 4 states are given in multiple bar diagrams. Study the diagram and answer the questions.In which state are there the largest number of owners of Airtel simcard ?
 





200895. The number of mobile simcards in 4 states are given in multiple bar diagrams. Study the diagram and answer the questions.Average of simcard sold in the four states in lakhs is
 





200896. The number of mobile simcards in 4 states are given in multiple bar diagrams. Study the diagram and answer the questions.The range of BSNL simcard sold in the 4 states in lakhs is :
 





200897. The number of mobile simcards in 4 states are given in multiple bar diagrams. Study the diagram and answer the questions.Of all the simcards sold in all the four states, the number of simcards sold in Gujarat is (approx) 
 





200898. Select the related letter/word/number from the given alternatives:EVFU : TGSH : : IRTQ : __?__
 





200899. Select the related letter/word/number from the given alternatives:L×M : 12 × 13 ::U×W :___?__
 





200900. Select the related letter/word/number from the given alternatives:CFIL : XURQ : : ORUX : ?
 





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