2sec²A+ 4cosec²A - 2tan²A - 4cot²A find solution

In this question, a group of numbers/symbols is coded using letters as per the table given below and the conditions which follow. The correct combination of codes following the conditions is your answer.

* (i) If the first element is an odd number and the last element is an even number, the codes for these two (the first and the last elements) are to be interchanged.

(ii) If the second element is a symbol and the fifth element is an even number, the codes for these two (the second and the fifth elements) are to be interchanged.

* (iii) If the third element is a number and the fourth element is a symbol, both these elements (the third and the fourth elements) are to be coded as Y.

Question: 7 6 & 5 8 % 6 2

Seven boxes, P, Q, R, S, T, U and V, are kept one over the other but not necessarily in the same order. R is kept just below T. V is kept just above Q, which is just above S. Only three boxes are kept between V and U. V is the topmost box. Which is the correct position of Box P?

Mahesh started from a point facing towards the west, turned left and walked for X m, then turned right and walked for 22 m, then turned left and walked for m, and then turned left again and walked for 22 m. He is exactly 21 m away from the starting point. What is the value of X which was covered in the first leg of his journey? (All turns are 90 degree turns only)

Starting from a point X, Shekhar walks 70 m towards the north. Then, he takes a left turn and walks 150 m. Then, he takes a left turn and walks 70 m. Finally, he takes a left turn and walks 90 m to reach point Y. How far and in which direction is point X from point Y? (All turns are 90 degree turns only)

A student scored 80/80 marks in term 1 and 75/90 marks in term 2. What will be his percentage of final score, if the weightage given to the terms is 40% and 60%, respectively. (correct to the nearest integer)

A blanket is sold for ₹1,148, which results in a loss of 30%. For how much should it be sold to gain 5%?

In the given letter-cluster pair, the first letter-cluster is related to the second letter-cluster based on a certain logic. Study the given pairs carefully, and select the pair from the given options, which follows the same logic. PARTS:RDVYY CLOSE: EOSXK

Six students, P, Q, R, S, T and U each are of different heights. P is taller than only two students. T is taller than only one student but shorter than exactly four students. S is taller than only four students but is not the tallest. Q is taller than none of the students. R. is not the tallest. Who is the tallest student?

Study the given letter, number, symbol series and answer the question that follows.

T % N 9 * M $ 3 U = L 8 Y @ G & 3 E > W

Find out the total number of letters that are immediately followed by a symbol and immediately preceded by a number.

In a certain code language, 'ACADEMY' is written as 'FSJHDEB' and 'BARRIER' is written as 'YKNVUCC'. How will 'ATTEMPT be written in that language?

Rani borrowed an amount of ₹2,00,000 from the bank to start a business. How much simple interest will she pay at the rate of 7% per annum after 2 years?

Three statements are given followed by four conclusions I, II, III and IV. You have to consider these statements to be true, even if they seem at variance from commonly known facts. Decide which of the given conclusions logically follow/s from the given statements.

Statements:

1. Some pamphlets are copies.

2. All copies are readers.

3. All readers are scrolls.

Conclusions:

I. All pamphlets are scrolls.

II. All copies are scrolls.

III. Some readers are copies.

IV. Some scrolls are pamphlets.

Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

1. All tigers are lions.

2. No cat is lion.

3. Some jaguars are cats.

Conclusions:

I. Some jaguars are lions.

II. No jaguar is tiger.

III. Some lions are tigers.

A number, when divided by the sum of 335 and 265, gives three times the difference between 335 and 265 as the quotient and 35 as the remainder. What is that number?

For a trip of 800 km, a truck travels the first 300 km at a speed of 50 km/h. At what speed should it cover the remaining distance, so that the average speed is 60 km/hr?

A 210 m long train crosses a man walking at a speed of 4.5 km/h in the opposite direction in 12 seconds. What is the speed (in km/h) of the train?

Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13-Operations on 13 such as adding subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 are not allowed.) (24, 12, 72) (15, 16, 60)

Two trains of equal speed are running in opposite directions. If their lengths are 120 metres and 140 metres and they cross each other in 10 sec, then find the speed of each train.

Two numbers are in the ratio 5: 7. If their HCF is 17, then find the numbers.

The economic reforms were initiated by Narasimha Rao government in?

Answer the following question which is based on the given four letter clusters. STED, LAYM, JOEK, CLDP If in each of the clusters, each letter is changed to the next letter in the English alphabetical order, how many letter clusters thus formed will have no vowel?

During neutralisation reaction H ion comes from _________ and OH ion comes from ________ respectively, to form a water molecule?

Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 12 : 145 :: 9 : 82 :: 11 : ?

Which of the following terms will replace the question mark (2) in the given series to make it logically complete? D6W, G7T, M11N, V20E,?

The sign of the magnification produced by a concave mirror is?

There are four different elements along with their atomic numbers: A (9), B (11), C (19) and D (37). Find the odd element from these with respect to their positions in the periodic table?

Six students P, Q, R, S, T and U sit in a straight line, facing north. P and S are sitting at the extreme ends of the line. T is sitting adjacent to P, while U is sitting adjacent to S. Only one person sits between Q and S. Who is sitting adjacent to Q apart from R?

A father is presently 3 times his daughter's age. After 10 years he will be twice as old as her. Find the daughter's present age.

Which of the following regions is known to receive the maximum rainfall from the South-west Monsoon winds in India?

"Dare2eraD TB" by the Department of Biotechnology, Ministry of Science & Technology, was launched on the occasion of World TB Day by who among the following?

What will come in place of the question mark (?) in the following equation, if + is interchanged with '-', and '÷' is interchanged with "x"? 7 × 7 ÷ 8 - 12 x 6 + 17 - 14 - 100 = ?

ഒരു കോളേജിലെ വിവിധ സ്ട്രീമുകളിൽ പഠിക്കുന്ന പുരുഷ, സ്ത്രീ വിദ്യാർത്ഥികളുടെ എണ്ണം താഴെ പറയുന്ന പട്ടികയിൽ നൽകിയിരിക്കുന്നു. പട്ടിക പരിശോധിച്ച് ചോദ്യത്തിന് ഉത്തരം നൽകുക.

Streams	Male	Female
Arts	202	112
Science	260	280
Commerce	116	190
Law	78	65
Total	656	647

കോളേജിലെ മൊത്തം വിദ്യാർത്ഥികളിൽ സ്ത്രീകളായ Commerce വിദ്യാർത്ഥികളുടെ ശതമാനം എത്രയാണ്

Which of the following statement is CORRECT about the Law of Demand with regard to subject of Economics?

1. a) The law of demand is a fundamental principle of economics that states that at a higher price consumer will demand a lower quantity of a good.
2. b) Demand is derived from the law of diminishing marginal utility it is based on the fact that consumers use economic goods to satisfy their most urgent needs first.
3. c) The shape and magnitude of demand shifts in response to changes in price.

Kohli is younger than Rohit by 3 years. If the ages of Kohli and Rohit are in the ratio 7: 8, how old is Kohli?

Find the nature of the roots of x² - 14x + 49 = 0

Find the quadratic equation that has (1 + √3) as one of its roots.

Which of the following is an example of a thermal decomposition reaction?

Which Article of the Indian Constitution specifically mentions, "The official language of the Union shall be Hindi in Devanagari script?"

What was the main aim of the agreement made by UNEP in 1987?