197751. What is the value of $$\frac{2.75\times2.75\times2.75-2.25\times2.25\times2.25}{2.75\times2.75\times+2.75\times2.25+2.25\times2.25}$$ is

197752. The value of $$1-\frac{a}{1-\frac{1}{1+\frac{a}{1-a}}}$$

197753. The value of $$\frac{(243)^\frac{n}{5}\times3^{2n+1}}{9^n\times3^{n-1}}$$ is

197754. A speed of 45 Km/hr is the same as

197755. A train traveling of 55 km/hr travels X to place Y speed is increased km/hr., then the time of journey is reduced by

197756. If a, b, c are positive and a+ b + c= 1, then the least value $$\frac{1}{a}+\frac{1}{b}+\frac{1}{c}$$ is

197757. In a ΔABC, ∠A+ ∠B = 118° ∠A + ∠C = 96°. find the value of ∠A.

197758. In ΔABC, if AD ⊥ BC, then $$AB^{2} + CD^{2}$$ is equal

197759. ABC is an equilateral triangle and CD is the internal bisec tor of L C. If DC is produced to E such that AC = CE, then ∠CAE is equal to

197760. If $$x (x - 3) = - 1$$, than the value of $$x^{3} (x^{3} - 18)$$ is

197761. The value of $$(1001)^{3}$$ is

197762. If a (2+ √3) = b (2 - √3) then the value of 1/(a^2+1)+1/(b^2+1) is

197763. If $$x\sin^{2} 60^{\circ}-\frac{3}{2} \sec60^{\circ} \tan^{2}30^{\circ}$$ + $$\frac{4}{5}\sin^{2}45^{\circ}\tan^{2}60^{\circ}=0$$ then x is

197764. If ΔABC is right - angle at B, AB = 6 units, ∠C = 30° then AC is equal to

197765. If $$7\sin\alpha=24 \cos\alpha;0

197766. ∠ACB is an angle in the semicircle of diameter AB = 5 and AC : BC = 3 : 4. The area of the triangle ABC is

197767. A, B and C are three points on a circle such that the angles subtended by the chords AB and AC at the centre 0 are 90° and 110° respectively. Further suppose that the centre ‘0’ lies in the interior L BAC. The L BAC is

197768. If the lengths of the sides AB, BC and CA of a triangle ABC are 10 cm, 8 cm and 6 cm respectively and if M is the mid - point of BC and MN II AB to cut AC at N, then the area of the trapezium ABMN is equal to

197769. A type of graph in which a circle is divided into sectors such that each sector represents a proportion of the whole is a

197770. The value of x which satisfies the equation $$2 \csc^{2} 30^{\circ}+x \sin^{2}60^{\circ}-\frac{3}{4}\tan^{2}30^{\circ}=10$$ is

197771. If $$2\sin\theta+\cos\theta-\frac{7}{3}$$ then the value of $$(\tan^{2}\theta-\sec^{2}\theta)$$ is

197772. From a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30°. The height of the tower is

197773. If 29 tan θ = 31, then the value of $$\frac{1+2sin\theta cos\theta}{1-2\sin\theta\cos\theta}$$

197774. The categories of qualitative variables are represented by bars where the height of each bar is

197775. In a cyclic quadrilateral ∠A+∠C=∠B+∠D=?

197776. In the given figure, ∠ ONY = 50° and ∠ OMY = 15°. Then the value of the ∠ MON is

197777.
The distribution of fruit consumption in a sample of 72 seventeen – year – old girls is given in the graph below. Study the graph and answer the questions. Distribution of fruit consumptionHow many of these girls ate fewer than two servings per day ?

197778. What percent of these girls ate six or more servings per day ?

197779. How many of these girls ate more than two servings but less than six servings per day ?

197780. The following pie-chart shows the monthly expenditure of a family on food, clothing, rent. miscellaneous expenses and savings. What is the central angle for savings ?

197781. The pie - chart gives the expenditure (in percentage) on various items and savings of a family during a month. Monthly savings of the family is 3,000. On which item is the expenditure maximum and how much is it ?

197782.
In the following questions, some parts of the sentences have errors and some are correct. Find out which part of a sentence has an error. The number of that part is the answer. If a sentence is free from error, your answer is d) i.e. No error.The new device (a)/ aims at eliminating (b)/ the risk of short - circuiting. (c) / No error (d)

197783. I wish to heartily ( a)/ congratulate you for (b)/ your astounding success, (c)/No error (d)

197784. The visitor took the vacant seat (a)/ next from mine (b)/ one of the many huge sofas in the room. (c)/ No error (d)

197785. He was ( a )/ a learnt man among lords, (b)/ and a lord among learned men. (c)/No error (d)

197786. With our great annoyance (a)/ we found the ground (b)/ filled with broken glasses. (c)/ No error (d)

197787.
In the following questions, sentences are given with blanks to be filled in with an appropriate word(s). Four alternatives are suggested for each question. Choose the correct alternative out of the four.Her true feelings manifested themselves in her sarcastic remarks, only then was
her..........revealed.

197788.
In the following questions, sentences are given with blanks to be filled in with an appropriate word(s). Four alternatives are suggested for each question. Choose the correct alternative out of the four.The book provides an overview of European wines that should prove inviting to both the virtual.............. and the experienced connoisseur.

197789.
In the following questions, sentences are given with blanks to be filled in with an appropriate word(s). Four alternatives are suggested for each question. Choose the correct alternative out of the four.The sun is shining brightly, please.............. the light.

197790.
In the following questions, sentences are given with blanks to be filled in with an appropriate word(s). Four alternatives are suggested for each question. Choose the correct alternative out of the four.This practice was brought .................to prevent certain abuses.

197791.
In the following questions, sentences are given with blanks to be filled in with an appropriate word(s). Four alternatives are suggested for each question. Choose the correct alternative out of the four.This package was supposed ..............yesterday.

197792.
In the following questions, out of the four alternatives, choose the one which best expresses the meaning of the given word.Garble

197793.
In the following questions, out of the four alternatives, choose the one which best expresses the meaning of the given word.Pinnacle

197794.
In the following questions, out of the four alternatives, choose the one which best expresses the meaning of the given word.Brutalize

197795.
In the following questions, choose the word opposite in meaning to the given word as your answer.Denounce

197796.
In the following questions, choose the word opposite in meaning to the given word as your answer.Cease

197797.
In the following questions, choose the word opposite in meaning to the given word as your answer.Seamy

197798.
In the following questions, four alternatives are given for the Idiom/Phrase printed in bold in the sentence. Choose the alternative which best expresses the meaning of the Idiom/ Phrase.The secretary’s thoughtless remark added fuel to the fire.

197799.
In the following questions, four alternatives are given for the Idiom/Phrase printed in bold in the sentence. Choose the alternative which best expresses the meaning of the Idiom/ Phrase.He could not get money from his master because he rubbed him up the wrong way.

197800.
In the following questions, four alternatives are given for the Idiom/Phrase printed in bold in the sentence. Choose the alternative which best expresses the meaning of the Idiom/ Phrase.Ask Mr. Das. He can give you all the news you need : he is always in the swim.

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