Simplify: $$\sqrt{6 + \sqrt{6 + \sqrt{6 + \sqrt{6 + .......}}}}$$
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Simplify: $$\sqrt{6 + \sqrt{6 + \sqrt{6 + \sqrt{6 + .......}}}}$$
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If $$x = a \sec \theta + b \tan \theta and y = a \tan \theta + b \sec \theta$$, then find $$x^2 - y^2$$.
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‘Hammer’, ‘anvil’ and'stirrup' are bones found in which part of the body?
Which of the following will best complete the relationship given below?
ZYX: TSR :: MLK : ?
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A boy walks 2 km to the east and walks 2.5 km to the north. Again he turns to the east and walks 1.5 km. How far is he from the starting point ?
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In this question, a statement is given followed by two conclusions. Choose the conclusion(s) which best fit(s) logically.
Statement:
Company ABC has marketed the product. Go ahead, purchase it if price and quality are your considerations.
Conclusions:
I. The product must be good in quality.
II. The price of the product must be reasonable.
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With which of the following sports is Parupalli Kashyap associated?
Find the ODD one out from the given options.
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The Simple Interest and Compound Interest on a certain sum of money for two years are Rs.8400 and Rs.8652 respectively. Find the rate of interest.
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Which of the following statements is/are CORRECT for carbon compounds?
If 5 @ 29 = 32, 41 @ 78 = 117 and 16 @ 32 = 46, then what will be 22 @ 46?
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If $$\sin A = \cos B$$, where $$A$$ and $$B$$ are acute, then find $$(A + B)$$.
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P invests half as much as Q and Q puts in half as much as R in a business. If the monthly profit of Rs.7000 is shared between them, then what is the share of R ?
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Two men walk along the same direction at 4.5 km/hr and 5.75 km/hr respectively. If they start walking together at their respective speeds, how many kilometres apart are they at the end of 3.5 hours?
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Complete the series.
8, 30, 74, 162, (…)
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LCM and HCF of two numbers are 2400 and 16 respectively. If one number is 480, find the other number.
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Ranjith got two times as many sums wrong as he got right. If he attempted 48 sums in all, how many did he solve correctly?
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In this question, statements are given followed by three conclusions. Choose the conclusion(s) which best fit(s) logically.
Statements:
$$O \geq T > W = G; D \leq T$$
Conclusions:
I. $$W > D$$
II. $$W < O$$
III. $$O \geq D$$
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Find the ODD one out from the given options.
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Choose the alternative that best replaces the question mark(?) in the given figure.

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Which of the following games is played on a board divided into 64 black-and-white squares ?
The population of a village increased from 18000 to 22500. What is the increase percentage?
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What is the SI unit of relative density of a substance ?
Arjun, Bharath and Chandru played a cricket match. The ratio of runs scored by Arjun and Bharath is 1 : 2 and the ratio of runs scored by Bharath and Chandru is 3 : 4. If together they score 204 runs, how many runs has Chandru made more than Arjun?
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Find the missing group of alphabets in the following series.
YP, TK, (…), MD, KB
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A rectangular carpet has an area of 120 m$$^2$$ and a perimeter of 46 m. Find the length of its diagonal.
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Which of the following is an example of sound-absorbent material used to reduce reverberation?
In a certain code, 'ABCDEF' is written as 'ZYXWVU'. How would 'MEAT' be written in that code ?
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Find the missing number in the following sereies.
4, 7, 11, 18, 29, 47, (...), 123, 199
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Read the following information carefully and answer the question given below.
Twelve people are sitting in two parallel rows containing six people each, in such a way that there is an equal distance between adjacent persons. In row-1, P, Q, R, S, T and V are seated, and all of them are facing south. In row-2, A, B, C, D, E and F are seated, and all of them are facing north. Therefore, in the given seating arrangement each member seated in a row faces another member of the other row. A sits third to the right of D. Neither A nor D sits at the extreme ends. T faces D. V does not face A, and V does not sit at any of the extreme ends. V is not an immediate neighbour of T. B sits at one of the extreme ends. Only two people sit between B and E. E does not face V. Two persons sit between R and Q. R is not an immediate neighbour of T. C does not face V. P is not an immediate neighbour of R.
How many members sit between T and S?
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Find the value of $$0.1\overline{8}$$
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Which of the following glands prepares an animal for flight ?
Which of the following trophies is NOT associated with cricket?
One should NOT sleep undera tree at night, because-
Virupaksha Temple, which is a UNESCO World Heritage Site, is dedicated to the deity-
Who is considered as the father of Indian surgery ?
What was the theme of 'International Women's Day', 2019?
The resistance of a conductor directly proportional to its-
An Object is sold at a profit of 50% and tax levied is 4%. What is the net profit ?
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Which lens is used for correcting 'Hypermetropia' in humans?
If $$x + \frac{1}{x} = 1$$, then find the value of $$x^3 + \frac{1}{x^3}$$.
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What are homoloaqus chromosomes ?
The ages of A, B and C are in the ratio 2 : 3 : 4. The sum of their ages is 108. What will be the ratio of their ages twelve years hence ?
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Which of the following salts is used in the preparation of sodium hydroxide, baking soda, washing soda?
Across which of the following rivers is Mettur Dam built ?
Rahim started from point X and walked straight 5 km west, then turned left and walked straight 2 km and again turned left and walked straight 7 km. In which direction is he from the point X?
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Find the missing number in the following series.
7776, (…), 216, 36, 6
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A dilute ferrous sulphate solution was gradually added to the beaker containing acidified potassium permanganate solution. The light purple colour of the solution fades and finally disappears. Which of the following is the CORRECT explanation for the observation?
The headquarter of Wildlife Institute of India is located at-
Which is the main fuel used in a nuclear powerplant ?
In a class $$\frac{3}{4}$$ of the students do not know either Hindi or English. $$\frac{1}{6}$$ of the students know English and $$\frac{1}{8}$$ of the students know Hindi. What part of the students know both English and Hindi?
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If $$x = 100, y = 99$$ then find the value of $$\frac{x^2 + y^2 + xy}{x^3 - y^3}$$
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Acids are .......... in taste.
A sum increases by 100% in 8 years at a certain rate of Simple Interest. What will be the Compound Interest on Rs.8000 after 2 years at the same rate of interest?
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Which isotope was chosen as the standard reference for measuring atomic masses?
An incident ray makes an angle of $$30^\circ$$ with the surface of a plane mirror. What is the angle of reflection?
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If 687 + 509 = 560897, then 619 + 703 = ?
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P can do some work in 9 days. If Q is 50% more efficient than P, then how long will Q take to do the work ?
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A square sheet of paper is folded into a cylinder by rolling along its side. What is the ratio of side of the square to the base radius of the cylinder ?
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Choose the figure that best represents the relationship among the classes given below.
Batsman, Ball, Cricket, Stump
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A, B and C can run around a circular path once in 252 seconds, 308 seconds and 198 seconds respectively. If they start running from a point simultaneously, after what time will they meet again at the starting point?
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How many squares are therein the given figure ?

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Find the number of factors of 12 excluding 1 and 12.
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Which Mughal emperor was also known as Salim ?
Dhanush missile is a naval version of ______ missile.
Choose the alternative that best replaces the question mark(?) in the given figure.

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Which ingredient makes bread fluffy ?
Find the ODD one out from the given options.
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Which of the following decreases in moving from left to right along a period ?
Read the following information carefully and answer the question given below.
During a vacation, a game is being played. For the game, 9 people from J to R (mix of boys and girls) have to stand in a vertical row. Boys are wearing black shoes and girls are wearing pink shoes. The row starts at top and with a pink shoe. Boys and girls stand alternately in the row. Each position in the row can be occupied by one person only.
i) J stands seven places before K.
ii) Third pink shoes is L.
iii) Second boy after L is M.
iv) Fourth place in the row is occupied by N.
v) O stands ahead of J.
vi) P stands between L and J.
vii) R is a girl.
Which of the following is a pair of girls ?
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In a code language, 'KUMAR' is coded as 'LVNBS'. How is 'EMOTIONAL' coded in that language ?
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Which part of our body does rheumatism affect ?
Find the decimal equivalent of $$\frac{1}{25}$$.
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Simplify: $$23 \times 2(45 - 15) + 168 \div 4 \div 2 - (11)^2$$
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Find the missing group of alphabets in the following series.
ZA, WB, (…), KG, BK
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If $$\sin A = \frac{1}{2}$$ and $$A$$ and $$B$$ are complementary angles, then find the value of $$\sin (A - B)$$.
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Father is aged 3 times more than his son. After 8 years, he would be 2.5 times his son's age. Further after 8 years, what would be the ratio of his age to that of his son?
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Why are luggages fitted with rollers?
Ram cycles from a place A to B and again back to A at a uniform speed of 12 km/h. His friend Gopi sails on a boat from A to B and back to A where his still water speed is 10 km/h and flow of river is 4 km/h. Who will return to A first?
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An isotope of iodine is used in the treatment of-
Which of the following vitamin deficiencies is fulfilled by golden rice ?
The refractive index of second medium with respect to the first medium $$n_{21}$$ is given by which formula?
Who was the first woman Prime Minister of Great Britain?
The most reactive among the halogens is-
Which of these transports oxygen to every cell of the body?
At which of the following speed do bullets travel?
Onion is a ..........
In this question, two statements are given followed by two conclusions. Choose the conclusion(s) which best fit(s) logically.
Statements:
1) All students are girls.
2) No girl is beautiful.
Conclusions:
I. Some students are beautiful.
II. No student is beautiful.
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Aluminium foil used for wrapping-
A situation marked by rising prices and stagnation in demand is known as-
Hari bought a cardboard for Rs.18000 and spent Rs.5000 on transport and Rs.2000 on labour. He made 500 boxes and sold them at Rs.60 per box. What was his profit percentage?
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Which of the following two banks merger with Bank of Baroda was effective from 1 April 2019 ?
Srinivas can do a job in 15 days and Rameshcando the same job in 9 days. With the help of Ravi, they did the job in 3 days. In how many days can Ravi alone do the same job?
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The outermost fibrous coating of the eye is called-
Complete the series.
8, 13, 13, 23, 18, 33, (…)
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Who was the first person to land on the moon?
Which of the following is the highest mountain peak in India ?
Which of the following Articles is for "Protection of interests of Minorities”?
Which of the following states consists of super energetic and super excited particles ?
From a cube of side 6 cm, a hemisphere of maximum volume is scooped out. What is the remaining volume?
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