X

Available for CBSE, ICSE and State Board syllabus.

Call our LearnNext Expert on 1800 419 1234 (tollfree)

OR submit details below for a call back

Can’t find a match **Ask?**

Syeda
answered
1 year(s)
, 11 month(s) ago

Two water tap together can fill a tank in 75/8 hours. The tap of larger daimeter takes 10 hours less than the smaller one to fill the tank saparately. Find the time in which each tap can saparately fi

Sol :

Let the tap of the larger diameter fills the tank alone in (
*x* – 10) hours.

In 1 hour, the tap of the smaller diameter can fill 1/
*x* part of the tank....

- 2 Answers
- 8 Likes
- 64247 Views

Agam
answered
1 year(s)
, 10 month(s) ago

A train travels a distance of 480 km at a uniform speed.

Distance travelled by the train = 480 km

Let the speed of the train be x kmph

Time taken for the journey = 480/x

Given speed is decreased by 8 kmph

Hence the new speed of train =...

- 2 Answers
- 9 Likes
- 57968 Views

Syeda
answered
1 year(s)
ago

Solve 9x2-9(a+b)x+(2a2+5ab+2b2)=0 by factorisation

Answer.

Consider, 9x
^{2}-9(a+b)x+(2a
^{2}+5ab+2b
^{2})=0

9x
^{2 }- 9(a + b)x + (2a
^{2 }+ 4ab + ab + 2b
^{2}) = 0

9x...

- 2 Answers
- 2 Likes
- 52198 Views

Syeda
answered
1 year(s)
, 11 month(s) ago

a peacock is sitting on a top of the pillar which is 9 metre hig

Let the distance covered by the peacock be AC = x m

Hence the distance covered by the snake is DC = x m

In right ΔABC, by Pythagoras theorem we have

AC
^{2} = AB
^{2<}...

- 2 Answers
- 2 Likes
- 46454 Views

Syeda
answered
1 year(s)
ago

How to split the middle term which has a large number

Consider, 7x
^{2} – 98x + 336 = 0

First find the product of 7x
^{2} and 336, we get 2352x
^{2}

Now notice that we have a negative sign in the middle term

Hence...

Asked by K V Balachandru

Oct 12

- 2 Answers
- 2 Likes
- 34901 Views

Syeda
answered
1 year(s)
, 11 month(s) ago

One fourth of a herd of camels was seen in a forest

Answer.

Let the no. of camels be x.

No. of camels seen in the forest

No. of camels gone to mountains =

No of camels on the bank of river=15

...

Asked by Mathew joseph

Dec 3

- 2 Answers
- 1 Like
- 29848 Views

Syeda
answered
1 year(s)
, 11 month(s) ago

A person on tour has Rs 360 for his expenses.

Amount with the person = Rs 360

Let the original number of duration of the tour be x days

Daily expenses per day = Rs 360/x

Given that his tour is extended for 4 days

Hence daily...

- 2 Answers
- 0 Like
- 28204 Views

Agam
answered
1 year(s)
, 10 month(s) ago

An express train takes 1 hour less than a passenger train

Let the speed of passenger train be x km/hr

Hence speed of express train = (x +11) km/hr

Distance travelled by both the trains = 132 km

Time taken = (Distance)/(Speed)

Time taken...

- 2 Answers
- 2 Likes
- 26737 Views

Lavanya
answered
5 year(s)
, 3 month(s) ago

A two digit number is such that the products of its digits is 14

Let the ten’s digit be x and ones digit be y

Given (xy) = 14 … (1)

The number is (10x + y)

Given that when 45 is added to the number the digits gets interchanged.

Hence 10x + y +...

- 5 Answers
- 0 Like
- 24914 Views

Syeda
answered
1 year(s)
ago

a/ax-1 + b/bx-1 = a+b

Given question is not clear please send us the exact question so that we can provide the solution at the earliest.

- 3 Answers
- 3 Likes
- 24871 Views

Kishore
answered
5 year(s)
, 5 month(s) ago

At t minutes past 2 p.m. , the time needed by the minutes hands

Given time needed by the minutes hand show (t
^{2}/4) – 3

Hence the quadratic equation becomes, (t
^{2}/4) – 3 = 60 – t

(t
^{2} – 12)/4 = 60 – t

(t
^{2}...

Asked by Manish uttam chand

Nov 24

- 1 Answer
- 0 Like
- 22664 Views

Raghunath
answered
4 year(s)
, 3 month(s) ago

what is the original average speed ?

**Given that distance = 63 km. Let original speed of train = x km/hr. time = distance / time = 63/x hrs.**

And it travels a distance of 72 kkm at a ave

- 1 Answer
- 2 Likes
- 21927 Views

Ramesh
answered
4 year(s)
, 3 month(s) ago

The sum of two numbers is 15. If the sum of their reciprocals is 3/10, find the two numbers.

Sol:

Let one of the numbers be x.

Other number is (15 - x)

Sum of their reciprocals = 3/10

1/x + 1/(15 - x) = 3/10

(15 ) / (15x - x
^{2}) = 3/10

150 = 45...

- 1 Answer
- 4 Likes
- 21512 Views

Kishore
answered
5 year(s)
, 7 month(s) ago

Find the value of k for the following quadratic equation

Given 2x
^{2} + kx + 3 = 0 has equal roots

Hence b
^{2} – 4ac = 0

That is (k)
^{2} – 4(2)(3) = 0

k
^{2} – 24 = 0

k
^{2} = 24...

Asked by Himani khurana

Nov 1

- 1 Answer
- 0 Like
- 20853 Views

Kishore
answered
5 year(s)
, 7 month(s) ago

Find the value of k for the following quadratic equation

Given kx(x – 2) + 6 = 0

kx
^{2} – 2kx + 6 = 0

Since the given quadratic equation has equal roots we have b
^{2} – 4ac = 0

That is (– 2k)
^{2} – 4(k)(6) = 0 <...

Asked by Himani khurana

Nov 1

- 1 Answer
- 4 Likes
- 18674 Views

Syeda
answered
1 year(s)
, 11 month(s) ago

The difference of the squares of two natural numbers is 45.

Let the smaller natural number be x and larger natural number be y

Hence x^{2} = 4y → (1)

Given y^{2} – x^{2} = 45

⇒ y^{2 }– 4y = 45

⇒ y^{2 }

- 2 Answers
- 3 Likes
- 18530 Views

Ramesh
answered
4 year(s)
, 2 month(s) ago

Prove that c2 = a2 (1 + m2).

(1 + m
^{2} )x
^{2} + 2 mcx + c
^{2} - a
^{2} = 0 has equal roots

⇒ b
^{2} - 4ac = 0

⇒ (2 mc)
^{2} - 4(1 + m
^{2})(c...

- 2 Answers
- 0 Like
- 17968 Views

Raghunath
answered
4 year(s)
, 4 month(s) ago

Find the value of k if the roots of the quadratic equation are equal?

-4

- 2 Answers
- 2 Likes
- 17754 Views

Agam
answered
1 year(s)
, 9 month(s) ago

The sum of the squares of two consecutive odd numbers is 394. Find the numbers.

Let the two consecutive odd numbers be x and x+2.

ATQ,

X
^{2} + (X+2)
^{2} = 394

X
^{2} + X
^{2} + 4X + 2
^{2} = 394

2X
^{2 }+...

- 2 Answers
- 1 Like
- 17318 Views

Agam
answered
1 year(s)
, 10 month(s) ago

If sin q and cos q are roots of the equation ax2+bx+c=0.

Asked by Manish uttam chand

Nov 24

- 2 Answers
- 0 Like
- 15545 Views

Offered for classes 6-12, LearnNext is a popular self-learning solution for students who strive for excellence

Explore
lessons

Test Series

Experiments

books