200001. If $$x=3+2\sqrt{2}$$, the value of $$x^{2}+\frac{1}{x^{2}}$$ is
200002. If (a + b + c) = 0, then $$(\frac{a^{2}}{bc}+\frac{b^{2}}{ca}+\frac{c^{2}}{ab})$$ is
200003. If x and y are positive real numbers and xy = 8, then the minimum value of 2x + y is
200004. The graphs of 2x + 1 = 0 and 3y- 9 = 0 intersect at the point
200005. In triangle ABC, ∠BAC = 75°, ∠ABC = 45°. BC is produced to D. If ∠ACD = x°, then X/3 % of 60° is
200006. Out of four numbers, the average of the first three is 15 and that of the last three is 16. If the last number is 19, the first is
200007. In a family of 5 members, the average age at present is 33 years. The youngest member is 9 years old. The average age of the family just before the birth of the youngest member was
200008. A dishonest dealer professes to sell his goods at the cost price but uses a false weight of 850 g instead of 1 kg. His gain percent is
200009. In a college, 40% of the students were allotted group A, 75% of the remaining were given group B and the remaining 12 students were given group C. Then the number of students who applied for the groups is
200010. A train 150 metres long crosses a milestone in 15 seconds and crosses another train of the same length travelling in the opposite direction in 12 seconds. The speed of the second train in km/hr is
200011. A person can row a distance of one km upstream in ten minutes and downstream in four minutes. What is the speed of the stream ?
200012. A certain sum of money will be doubled in 15 years at what rate of simple interest percent per annum?
200013. In an isosceles triangle, if the unequal angle is twice the sum of the equal angles, then each equal angle is
200014. At an instant, the length of the shadow of a pole is , √3 times the height of the pole. The angle of elevation of the Sun at that moment is
200015. If θ is positive acute angle Find whether the equation 3 $$(\sec^{2}\theta-\tan^{2}\theta)=5$$ is true or not ?
200016. Two circles touch each other externally. The distance between their centres is 7 cm. If the radius of one circle is 4 cm, then the radius of the other circle is
200017. In a ΔABC, AB = AC and BA is produced to D such that AC = AD. Then the ∠BCD is
200018. In a right-angled triangle ABC, ∠ABC = 90°, AB = 5 cm and BC = 12 cm. The radius of the circumcircle of the triangle ABC is
200019. If the circumradius of an equilateral triangle ABC be 8 cm, then the height of the triangle is
200020. Two circles intersect at A and B. P is a point on produced BA. PT and PQ are tangents to the circles. The relation of PT and PQ is
200021. If O is the circumcentre of triangle ABC and OD ⊥ BC, then ∠BOD must be equal to
200022. The numerical value of $$\frac{1}{1+\cot^{2}\theta}+\frac{3}{1+\tan^{2}\theta}+2\sin^{2}\theta$$ is
200023. The value of $$\frac{4}{1+\tan^{2}\alpha}+\frac{3}{1+\cot^{2}\alpha}+ \sin^{2}\alpha$$ is
200024. The value of $$3(sinx- cosx)^{4}+6(sinx+cosx)^{2}+4(sin^{6}x + cos^{6}x)$$ is
200025. The value of $$(\frac{1+sin\theta}{cos\theta}+\frac{cos\theta}{1+sin\theta})-2tan^{2}\theta$$ is
200026. If sin θ + cosec θ = 2 then the value of $$sin^{5}\theta+cosec^{5}\theta$$ is
200027.
Study the chart carefully and answer the questions.
The chart shows production of an item (in tonnes) during certain years
The production in 2006-07 in comparison to the production in 2002-03 increased by
200028. The production decreased from 2004-05 to 2005-06 by ?
200029.
Study the chart carefully and answer the questions.
The chart shows production of an item (in tonnes) during certain yearsThe year in which production increased the lowest as compared to the previous year is
200030.
Study the chart carefully and answer the questions.
The chart shows production of an item (in tonnes) during certain yearsThe production from 2003 - 04 to 2007 - 08 increased by
200031.
The following bar diagram shows the percentage of Hindus, Sikhs and Muslims in a state during the years from 2004 to 2007. Examine the bar diagram and answer the following questions.
The ratio between the Hindu and Sikh population in 2004 was
200032. If the total population of the state in 2004 was 5 lakhs, then the Hindu and Muslim population in that year was
200033. If the total population of the state in 2005 was 5 million, then the Hindu population was [1 million = 10,00,000]
200034. Wine : Grape : : Whiskey : ?
200035. 600 : 2000 : : ? : 9000
200036. XZG : CAT : : DOG : ?
200037.
In each of the following questions, which one set of letters when sequentially placed at the gaps in the given letter series shall complete it ?aabab_ab_ab_bba
200038.
In each of the following questions, which one set of letters when sequentially placed at the gaps in the given letter series shall complete it ?aa_baa__aaa_ba_ba
200039.
In each of the following questions, a series is given, with oneterm missing. Choose the correct alternative from the given ones that will complete the series.C2E, E5H, G 12K, I27N, ?
200040.
In each of the following questions, a series is given, with oneterm missing. Choose the correct alternative from the given ones that will complete the series.BEH, DGJ, NQT, ?
200041.
In each of the following questions, a series is given, with oneterm missing. Choose the correct alternative from the given ones that will complete the series.$$ZA_{5},Y_{4}B,XC_{6},W_{3}D,?$$
200042.
In each of the following questions, a series is given, with oneterm missing. Choose the correct alternative from the given ones that will complete the series.deb, ijg, nol ? , xyv
200043.
In each of the following questions, find the odd word/number pair from the given alternatives.Find the correct set of numbers from the given alternatives.
(4, 3, 2), (16, 9, 4), (256, 81, 16), (65536, ? , ? )
200044.
In each of the following questions, select the missing number from the given responses.
200045.
In each of the following questions, select the missing number from the given responses.2311, 4529, ? , 8989
200046.
In each of the following questions, select the missing number from the given responses.21, 30, 38, ? , 51, 56, 60
200047.
In each of the following questions, select the missing number from the given responses.6, 14, 30, ?
200048.
In each of the following questions, select the missing number from the given responses.
200049.
In each of the following questions, select the missing number from the given responses.
200050. Six girls are standing in such a way that they form a circle, facing the centre. Subbu is to the left of Pappu, Revathi is between Subbu and Nisha, Aruna is between Pappu and Keerthana. Who is to the left of Pappu ?
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