Preeti T

Hello! I've doubts in the following questions... plz provide the detailed solutions. Thanks in advance!

1. If x= √[ √7 + 7 + √( 8+2√7)] - √7, the value of x, will be:

(a) √7-1

(b) 2√7

(c) 1

(d) 1 - √7

2. What is the third term in a sequence of numbers that leave remainder of 1, 2, 3 when divided by

2, 3 and 4 respectively:

(a) 11

(b) 17

(c) 19

(d) 35

3. 2! + 4! + 6! + 8! + 10! + .... + 100! when divided by 3 would leave remainder:

(a) 0

(b) 1

(c) 2

(d) 3

1. If sec A + tan A = sqrt3

A lies between 0 and 90 degrees.

then find tan3A.

2. If tanA + cot A= 2 and A lies between 0 and 90 degrees.

then find tan^n A + cot^n A.

Plz provide the detailed solution of the above two problems... thanks in advance!!!

1. Two candles of the same height are lighted at the same time. The first is consumed in 8 hours and the second in 6 hours. Assuming that each candle burns at a constant rate, in how many hours after being lighted, the ratio between the first and second candles becomes 2:1.

Ans. 4 hours 48 mins.

Plz give the detailed solution...

Thanks in advance!

I have doubts in the following questions... Plz give the detailed solution... Thanks in advance!

1. If a, b, c are integers; a^2 + b^2 = 45 and b^2 + c^2 = 40, then find the values of a, b and c respectively.

2. A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have?

3. In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. Find the length of the garden.

4. In a family, the father took 1/4 of the cake and he had 3 times as much as each of the other members had. Find the total number of members.

5. One test tube contains some acid and another test tube contains an equal quantity of water. To prepare a solution, 20 grams of the acid is poured into the second test tube. Then, two-thirds of the so-formed solution is poured from the second tube into the first. If the fluid in first test tube is four times that in the second, what quantity of water was taken initially?

6. Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed?

1. The mean of 8 numbers is 15. If each number is multiplied by 2, what will be the new mean?

2. The daily wages of a worker is Rs. 100.Five workers can do a work in 10 days. If you pay Rs. 20 more daily, they agree to do 25% more daily. If the proposal is accepted, then how much amount could be saved?

3. Three pipes A, B and C working together can fill a cistern in 6 hours. After working at it for 2 hours, C is closed and A and B fill it 7 hours more. How many hours will C alone take to fill the cistern?

1. A sum of money is borrowed and paid back in two annual instalments of Rs. 882 each allowing 5% compound interest. The sum borrowed was _________.

2. A man borrows Rs. 2550 to be paid back with compound interest at the rate of 4 % per annum by the end of 2 years in two equal yearly instalments. How much will each instalment be?

3. Two equal sums of money are lent at the same time at 8% and 7% per annum simple interest. The former is recovered 6 months earlier than the latter and the amount in each case is Rs. 2560. Find the sum and the time for which the sum of money were lent out.

Hey everyone! I have an exam tomorrow but i have few doubts. Please help me in solving the following questions...Please give detailed solutions and not only answers to the problems.

Thanks in advance!

1. The length of the side of a square is 14 cm. Find out the ratio of the radii of the inscribed and circumscribed circle of the square.

2. A and B invest in a business in the ratio 5:4. If 10% of the total profit goes to charity and A's profit share is Rs. 7,500, then the total profit is ___________.

3. If x^2/ (by + cz) = y^2/ (cz + ax) = z^2/ (ax + by) = 1, then the value of [a/(a + x)] + [b/ ( b + y)] + [c/ ( c + z)] is _____________.

4. ABC is a right- angled triangle. AD is perpendicular to the hypotenuse BC. If AC = 2 AB, then the value of BD is _____________.

5. The length of the portion of the straight line 8x + 15y = 120 intercepted between the axes is_______.

6. If x is real and x^4 + [1/ x^4] = 119, then the value of (x - 1/x) is________.

7. The perimeter of a rhombus is 146 cm and one of its diagonals is 55 cm. The other diagonal is _________.

8. ABCD is a cyclic quadrilateral. Sides AB and DC, when produced meet at the point P and sides AD and BC, when produced meet at the point Q. If angle ADC = 85 deg. and angle BPC = 40 deg, then find angle CQD.

1. Ravi buys some toffees at 2 for a rupee and sells them at 5 for a rupee. Find his loss percent.

2. A man sold two steel chairs for Rs. 500 each. On one he gains 20% and on the other he loses 12%. Find his gain or loss in the whole transaction.

3. The average of five numbers is 18. If one number is excluded, their mean is 16. Find the excluded number.

4. On increasing each side of an equilateral triangle by 2 cm there is an increase of 2Sqrt3 cm^2 in its area. Find the length of each side of the triangle.

5. The capacity of a tank is 6160 m^3. If the radius of its base is 14 m. Find the depth of the tank.

I can't solve these problems... please tell the detailed solution of these problems...

1. Five litres of water is added to a certain quantity of pure milk, which costs Rs. 3 per litre. If the mixture is sold at same price of Rs. 3 per litre, a profit of 20% is made ( ignore the cost of water). What is the amount of pure milk in the mixture?

Ans. 25 litres

2. The students in three classes are in the ratio 2:3:5. If 20 students are increased in each class, the ratio changes to 4:5:7. What is the total number in the three classes before the increase?

Ans. 100 students.

3. Divide Rs. 1540 among A,B,C so that A shall receive 2/9 as much as B and C together, and B 3/11 of what A and C together do.

Ans. 280, 330, 930.

Thanks in advance!!!

I am a teacher and we have science week next week. For that, i need few activities to be done for the students of class 6 and 7.

I have science quiz as the completion activity of the week. I am new to the school and i m not understanding what different and interesting science activities should be done.

Kindly suggest few asap.

Thanks in advance!

I am teaching in a school and have a b.sc. physics degree from du. Some friends of mine suggest me to do M.Sc. thru distance education and some suggest from du.

They say i should do it from distance so that i will have 2 years of experience in the meanwhile. I liked this idea.Then i took admission in a university which is ugc recognised and approved by naac and is accredited with a grade. But now, many people say that i won't be able to work in a good school as a pgt because of that not regular course...

I am really confused.

Plz give suggestions.

1. The minimum value of angular momentum by coupling three angular momenta 1, 3/2 and 5/2 is:

(a) 5 (b) 0.5 (c) 0 (d) 1

2. The mechanical equivalence of an LCR series circuit with voltage source is a

(a) damped harmonic oscillator

(b) forced harmonic oscillator

(c) free linear harmonic oscillator

(d) damped and forced harmonic oscillator

Plz tell me the way to do Q.1

Thanks in advance!

1. Which of the following weighs the most?

(a) 10^23 molecules of H2.

(b) 1 mole of H2O

(c) 1 mole of N2

(d) 10^22 atoms of oxygen

2. The mass of magnesium oxide formed by burning 1.216 g of magnesium in excess oxygen is

(a) 0.416g (b) 1.616 g (c) 2.016g (d) 2.816 g

The answer of Q1 is(d)

Q2 is (b)

I want the detailed solution of these questions.

Thanx in advance!

Hey! Can anyone help in finding the top ten universities in distance education. I want to do M.Sc. Physics through the same, if it provides that degree. Plz help coz it's very urgent.

Thanks in advance.

Q1). A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one

second?

Q2). In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of minor arc of the

chord.

1. Use Euclid's division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer.

2. Use Euclid's division lemma to show that the cube of any positive integer is either of the form 9m, 9m + 1, or 9m + 8.

Do anyone know who prepares National Curriculum Framework in India? If u know plz tell me...its urgent..

1.) Robert is a man of strange nature. He likes 400 but not 300. He likes 3600 but not 3700. Keeping these in mind, which one he will like in the following?

A. 900

B. 1000

C. 1100

D. 1200

The answer to this question is given as B,i.e. 1000, but I am not understanding how this answer is coming... Plz explain your answer...

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