198954. Which factory was situated near the village Ulapur?

198955. ABCD is a cyclic trapezium with AB || DC and AB = diameter of the circle. If angleCAB = $$30^{\circ}$$, then angleADC is

198956. ABC is a triangle. The bisectors of the internal angle $$\angle$$B and external $$\angle$$C intersect at D. If $$\angle$$BDC=$$50^{\circ}$$, then $$\angle$$A is

198957. AB is the chord of a circle with centre O and DOC is a line segement originating from a point D on the circle and intersecting AB produced at C such that BC = OD. If $$\angle$$BCD =$$20^{\circ}$$, then $$\angle$$AOD =?

198958. In a circle of radius 17 cm, two parallel chords of lengths 30 cm and 16 cm are drawn. If both the chords are on the same side of the centre, then the distance between the chord is

198959. If sin (A - B) = $$\frac{1}{2}$$ and cos (A + B) = $$\frac{1}{2}$$ where A > B > 0 and A + B is an acute angle, then the value B is

198960. The fifth term of the sequence for which $$t_{1}=1$$, $$t_{2}=2$$ and $$t_{n+2}$$ = $$t_{n}+t_{n+1}$$, is

198961. If $$(x+7954\times7956)$$ be a square number, then the value of x is

198962. A can do a piece of work in 12 days while B alone can do it in 15 days. With the help of C they can finish it in 5 days. If they are paid Rs. 960 for the whole work how much money A gets ?

198963. Ronald and Elan are working on an Assignment. Ronald takes 6 hours to type 32 pages on a computer, while Elan takes 5 hours to type 40 pages. How much time will they take working together on two different computers to type an assignment of 110 pages ?

198964. One man, 3 women and 4 boys can do a piece of work in 96 hours, 2 men and 8 boys can do it in 80 hours, 2 men and 3 women can do it in 120 hours. 5 men and 12 boys can do it in

198965. ABC is a right angled triangle, B being the right angle. Mid-points of BC and AC are respectively B’ and A’. The ratio of the area of the quadrilateral AA’ B’B to the area of the triangle ABC is

198966. A square ABCD is inscribed in a circle of unit radius. Semicircles are described on each side of a diameter. The area of the region bounded by the four semicircles and the circle is

198967. If the perimeters of a rectangle and a square are equal and the ratio of two adjacent sides of the rectangle is 1 : 2 then the ratio of area of the rectangle and that of the square is

198968. The interest on a certain sum of money is Rs. 22 and the true discount on the same sum for the same time and at the same rate is Rs. 20, Find the sum.

198969. A retailer purchased radiosets at the rate of Rs. 400 each from a wholesaler. He raised the price by 30% and then allowed a discount of 8% on each set. His profit will be

198970. A reduction in the price of apples enables a person to purchase 3 apples for Rs. 1 instead of Rs. 1.25. What is the % of reduction in price (approximately) ?

198971. Rs. 700 is divided among A, B, C in such a way that the ratio of the amounts of A and B is 2 : 3 and that of B and C is 4 : 5. Find the amounts in Rs. each received, in order A, B, C.

198972. The ratio of monthly incomes of A, B is 6 : 5 and their monthly expenditures are in the ratio 4 : 3. If each of them saves Rs. 400 per month, find the sum of their monthly incomes.

198973. A and B have together three times what B and C have, while A, B, C together have thirty rupees more than that of A. If B has 5 times that of C, then A has

198974. A cricket player after playing 10 tests scored 100 runs in the 11th test. As a result, the average of his runs is increased by 5. The present average of runs is

198975. A fruit seller buys some oranges at the rate of 4 for Rs. 10 and an equal number more at 5 for Rs. 10. He sells the whole lot at 9 for Rs. 20. What is his loss or gain per cent ?

198976. 15 litres of a mixture contains alcohol and water in the ratio 1 : 4. If 3 litres of Water is mixed in it, the percentage of alcohol in the new mixturewill be

198977. A man rides at the rate of 18 km/hr, but stops for 6 mins. to change horses at the end of every 7th km. The time that he will take to cover a distance of 90 km is

198978. A man rows down a river 15 km in 3 hrs. with the stream and returns in $$7\frac{1}{2}$$, The rate at which he rows in still water is

198979. There is 100% increase to an amount in 8 years, at simple interest. Find the compound interest of Rs. 8000 after 2 years at the same rate of interest.

198980. If the number p is 5 more than q and the sum of squares of p and q is 55, then the product of p and q is

198981. If $$a+\frac{1}{a-2}=4$$, then the value of $$(a-2)^{2}+(\frac{1}{a-2})^{2}$$ is

198982. If a + b + c = 2s, then $$\frac{(s-a)^{2}+(s-b)^{2}+(s-c)^{2}+s^{2}}{a^{2}+b^{2}+c^{2}}$$ is equal to

198983. If xy(x+y)=1 then, the value of $$\frac{1}{x^{3}y^{3}}-x^{3}-y^{3}$$ is

198984. If $$a^{3}-b^{3}-c^{3}=0$$ then the value of $$a^{9}-b^{9}-c^{9}-3a^{3} b^{3} c^{3}$$ is

198985. The minimum value of (x-2) (x-9) is

198986. If x + y + z = 6 and $$x^{2}+y^{2}+z^{2}$$=20 then the value of $$x^{3}+y^{3}+z^{3}$$-3xyz is

198987. The third proportional to $$(\frac{x}{y}+\frac{y}{x}) and \sqrt{x^{2}+y^{2}}$$ is

198988. In a triangle ABC, the side BC is extended up to D. Such that CD = AC, if angleBAD = $$109°$$ and angleACB=$$72°$$ then the value of angleABC is

198989. Two circles touch each other internally. Their radii are 2 cm and 3 cm. The biggest chord of the greater circle which is outside the inner circle is if length

198990. ABCD is a cyclic quadrilateral. AB and DC are produced to meet at P. If angleADC = $$70°$$ and angleDAB = $$60°$$, then the $$\angle{PBC} + \angle{PCB}$$ is

198991. From a point which is at a distance of 13 cm from centre O of a circle of radius 5 cm, in the same plane, a pair of tangents PQ and PR are drawn to the circle. Area of quadrilateral PQOR is

198992. A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope stretched and describes 88 metres when it has traced out 72C at the centre, the length of the rope is $$(Take\pi=\frac{22}{7})$$

198993. Maximum value of $$(2sin\theta+3 cos\theta)$$ is

198994. The value of 152(sin 30°+2cos^{2} 45°+3 sin 30°+4cos^{2}45°+.....+17sin30°+18cos^{2}45°) is

198995. If $$(1+sin\alpha)(1+sin\beta)(1+sin\gamma)=(1-sin\alpha)(1-sin\beta)(1-sin\gamma)$$ then each side is equal to

198996. One of the four angles of a rhombus is $$60°$$. If the length of each side of the rhombus is 8 cm, then the length of the longer diagonal is

198997. If the arcs of a same length in two circles subtend angles of $$60°$$ and $$75°$$ at their centres, the ratio of their radii is

198998. Study the above bar graph showing the production of food grains (in million tons). What is the ratio between the maximum production and the minimum production during the given period ?
Graph should be drawn

198999.
Study the following Histogram and answer the following questions.
The total number of students involved in the data is

199000.
Study the following Histogram and answer the following questions.
The maximum number of students got the marks in the interval of

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