5411 + Interview Questions in Quantitative Aptitude Page 8 InterviewSolution

351.	If the price of rice is increased by 20% today, at what percent should it be decreased tommorow, so as to bring down the price back to the original
Answer» If the price of rice is increased by $20 %$ today, at what percent should it be decreased tommorow, so as to bring down the price back to the original

Discussion

352.	How many cookies, in total, did Sundar eat?
Answer» How many cookies, in total, did Sundar eat?

Discussion

353.	A square of side a lies above the x axis and has one vertex at origin. The side passing through origin has an angle (alpha) (0
Answer» A square of side a lies above the x axis and has one vertex at origin. The side passing through origin has an angle (alpha) (0

Discussion

354.	If the total amount spent by C is more than D but less than B, then what is the possible list of items that C could have had at the canteen?
Answer» If the total amount spent by C is more than D but less than B, then what is the possible list of items that C could have had at the canteen?

Discussion

355.	In Database E, the number of persons, each of whose name, fax number as well as telephone number are available, is at least
Answer» In Database E, the number of persons, each of whose name, fax number as well as telephone number are available, is at least

Discussion

356.	Four distinct numbers are selected from first 100 natural numbers such that each number is divisible by both 3 and 5. The number of selections possible is ___
Answer» Four distinct numbers are selected from first 100 natural numbers such that each number is divisible by both 3 and 5. The number of selections possible is ___

Discussion

357.	A square has two of its vertices on a circle and the other two are on the tangent to the circle. Find the area of the square if the radius of the circle is 5 units.
Answer» A square has two of its vertices on a circle and the other two are on the tangent to the circle. Find the area of the square if the radius of the circle is 5 units.

Discussion

358.	Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The value of m and n is respectively are:(a) 7, 6(b) 5, 1(c) 6, 3(d) 8, 7
Answer» Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The value of m and n is respectively are: (a) 7, 6 (b) 5, 1 (c) 6, 3 (d) 8, 7

Discussion

359.	The sum of 12×2213+22×3213+23+32×4213+23+33+..... upto n terms is equal to
Answer» The sum of $\frac{\frac{1}{2} \times \frac{2}{2}}{1^{3}} + \frac{\frac{2}{2} \times \frac{3}{2}}{1^{3} + 2^{3}} + \frac{\frac{3}{2} \times \frac{4}{2}}{1^{3} + 2^{3} + 3^{3}} + . . . . .$ upto n terms is equal to

Discussion

360.	One out of every three consecutive integer isalways divisible by
Answer» One out of every three consecutive integer isalways divisible by

Discussion

361.	How many four digit numbers, which are divisible by 6, can be formed using the digits 0, 2, 3, 4, 6, such that no digits is used more than once and 0 does not occur in the left-most position? ___
Answer» How many four digit numbers, which are divisible by 6, can be formed using the digits 0, 2, 3, 4, 6, such that no digits is used more than once and 0 does not occur in the left-most position? ___

Discussion

362.	If the final amount of money that Ghosh Babu had with him was Rs 100, what was the initial amount he had with him?
Answer» If the final amount of money that Ghosh Babu had with him was Rs 100, what was the initial amount he had with him?

Discussion

363.	Question 24 (ii)A die is thrown twice. What is the probability that 5 will come up at least once?
Answer» Question 24 (ii) A die is thrown twice. What is the probability that 5 will come up at least once?

Discussion

364.	How many pairs of positive integers (a, b) are there such that a and b have no common factor greater than 1 and ab+14b9a is an integer?
Answer» How many pairs of positive integers (a, b) are there such that a and b have no common factor greater than 1 and $\frac{a}{b} + \frac{14 b}{9 a}$ is an integer?

Discussion

365.	A boy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. He does 24 sums and obtains 37 marks. What was the number of correct sums ?
Answer» A boy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. He does 24 sums and obtains 37 marks. What was the number of correct sums ?

Discussion

366.	If the sum of n terms of a sequence is given bySn=n2+4n+1 then the nth term of the sequence is given by
Answer» If the sum of n terms of a sequence is given by $S_{n} = n^{2} + 4 n + 1$ then the n^th term of the sequence is given by

366.

If the sum of n terms of a sequence is given bySn=n2+4n+1 then the nth term of the sequence is given by

Answer»

If the sum of n terms of a sequence is given by $S_{n} = n^{2} + 4 n + 1$

then the n^th term of the sequence is given by

Discussion

367.	The height of the triangle is 12 cm. If all the circles shown below are identical in size then find the radius of the circles.
Answer» The height of the triangle is 12 cm. If all the circles shown below are identical in size then find the radius of the circles.

Discussion

368.	What is the least number of innings in which 20 or 30 runs were scored (all players taken together)?
Answer» What is the least number of innings in which 20 or 30 runs were scored (all players taken together)?

Discussion

369.	From the top of a building 60 m high, the angles of depression of the top and bottom of a tower are observed to be 30∘ and 60∘. Find the height of the tower. [4 MARKS]
Answer» From the top of a building 60 m high, the angles of depression of the top and bottom of a tower are observed to be $30^{\circ}$ and $60^{\circ}$ . Find the height of the tower. [4 MARKS]

Discussion

370.	In the given figure O is the Incentre for triangle ABC. Find ∠BOC if ∠BAC=40∘?
Answer» In the given figure O is the Incentre for triangle ABC. Find $∠ B O C$ if $∠ B A C = 40^{\circ}$ ?

Discussion

371.	△ABC is isosceles with AB = AC. If a circle through B touches the side AC at its mid-point D and intersects the side AB at P, then find the value of APAB.
Answer» $△ A B C$ is isosceles with AB = AC. If a circle through B touches the side AC at its mid-point D and intersects the side AB at P, then find the value of $\frac{A P}{A B}$ .

Discussion

372.	27. If x and y are odd integers then prove x2+y2 is even but not divisible by 4
Answer» 27. If x and y are odd integers then prove x2+y2 is even but not divisible by 4

Discussion

373.	An athletic track is designed in such a way that an athlete runs the 1st and 3rd quarters of the race around a circular track and the 2nd and 4th quarters around a square track. (As shown in the figure below) If the area of the entire square field is 256 sq units, what is the area enclosed by the running track? (Assume that the track touches the boundary of the field at the midpoints of the four sides and the width of the track is negligible).
Answer» An athletic track is designed in such a way that an athlete runs the 1 $^{s t}$ and 3 $^{r d}$ quarters of the race around a circular track and the 2 $^{n d}$ and 4 $^{t h}$ quarters around a square track. (As shown in the figure below) If the area of the entire square field is 256 sq units, what is the area enclosed by the running track? (Assume that the track touches the boundary of the field at the midpoints of the four sides and the width of the track is negligible).

373.

An athletic track is designed in such a way that an athlete runs the 1st and 3rd quarters of the race around a circular track and the 2nd and 4th quarters around a square track. (As shown in the figure below) If the area of the entire square field is 256 sq units, what is the area enclosed by the running track? (Assume that the track touches the boundary of the field at the midpoints of the four sides and the width of the track is negligible).

Answer»

An athletic track is designed in such a way that an athlete runs the 1 $^{s t}$ and 3 $^{r d}$ quarters of the race around a circular track and the 2 $^{n d}$ and 4 $^{t h}$ quarters around a square track. (As shown in the figure below) If the area of the entire square field is 256 sq units, what is the area enclosed by the running track? (Assume that the track touches the boundary of the field at the midpoints of the four sides and the width of the track is negligible).

Discussion

374.	25 Show that the points (a,a) , (-a,-a) and (-3a,3a) are the vertices of an equilateral triangle.Also, find its area.
Answer» 25 Show that the points (a,a) , (-a,-a) and (-3a,3a) are the vertices of an equilateral triangle.Also, find its area.

Discussion

375.	The diagonal of a trapezium shaped field is 25m and the perpendiculars dropped on it from the remaining opposite vertices are 8m and 12m. Find the area of the field(in m2).
Answer» The diagonal of a trapezium shaped field is 25m and the perpendiculars dropped on it from the remaining opposite vertices are 8m and 12m. Find the area of the field(in m²).

Discussion

376.	Let a, B, y be distinct real numbers. The points with position vectors oi +Bj+ yk, Bi + yj + ak, yi + aj +Bk (1) Are collinear (2) Form an equilateral triangle (3) Form a scalene triangle (4) Form a right angled triangle
Answer» Let a, B, y be distinct real numbers. The points with position vectors oi +Bj+ yk, Bi + yj + ak, yi + aj +Bk (1) Are collinear (2) Form an equilateral triangle (3) Form a scalene triangle (4) Form a right angled triangle

Discussion

377.	{ †ext { A rectangle is inscribed in a circle with a } } { †ext { diameter lying along the line } 3 y = x + 7 †ext { . If } } { †ext { the two adjacent vertices of the rectangle } } { †ext { are } ( - 8,5 ) †ext { and } ( 6,5 ) , †ext { then the area of the } } { †ext { rectangle (in sq. units) is: }
Answer» { †ext { A rectangle is inscribed in a circle with a } } { †ext { diameter lying along the line } 3 y = x + 7 †ext { . If } } { †ext { the two adjacent vertices of the rectangle } } { †ext { are } ( - 8,5 ) †ext { and } ( 6,5 ) , †ext { then the area of the } } { †ext { rectangle (in sq. units) is: }

Discussion

378.	Q3. XYZ Petroleum sells petrol at 8% profit. The selling price equals the manufacturing cost plus the profit. Due to global fall in crude oil prices, the manufacturing cost of petrol falls by 10%. If the company keeps the selling price unchanged, then what is the profit percentage now? XYZ पेट्रोलियम 8 % के लाभ पर पेट्रोल बेचते हैं। विक्रय मूल्य, उत्पादन की लागत व लाभ के योगफल के बराबर है। कच्चे तेल की कीमतों में वैश्विक गिरावट की वजह से पेट्रोल की उत्पादन लागत 10 % तक गिर जाती है। यदि कंपनी विक्रय मूल्य को अपरिवर्तित रखती है तो अब लाभ का % क्या है?
Answer» Q3. XYZ Petroleum sells petrol at 8% profit. The selling price equals the manufacturing cost plus the profit. Due to global fall in crude oil prices, the manufacturing cost of petrol falls by 10%. If the company keeps the selling price unchanged, then what is the profit percentage now? XYZ पेट्रोलियम 8 % के लाभ पर पेट्रोल बेचते हैं। विक्रय मूल्य, उत्पादन की लागत व लाभ के योगफल के बराबर है। कच्चे तेल की कीमतों में वैश्विक गिरावट की वजह से पेट्रोल की उत्पादन लागत 10 % तक गिर जाती है। यदि कंपनी विक्रय मूल्य को अपरिवर्तित रखती है तो अब लाभ का % क्या है?

378.

Q3. XYZ Petroleum sells petrol at 8% profit. The selling price equals the manufacturing cost plus the profit. Due to global fall in crude oil prices, the manufacturing cost of petrol falls by 10%. If the company keeps the selling price unchanged, then what is the profit percentage now? XYZ पेट्रोलियम 8 % के लाभ पर पेट्रोल बेचते हैं। विक्रय मूल्य, उत्पादन की लागत व लाभ के योगफल के बराबर है। कच्चे तेल की कीमतों में वैश्विक गिरावट की वजह से पेट्रोल की उत्पादन लागत 10 % तक गिर जाती है। यदि कंपनी विक्रय मूल्य को अपरिवर्तित रखती है तो अब लाभ का % क्या है?

Answer»

Q3. XYZ Petroleum sells petrol at 8% profit. The selling price equals the manufacturing cost plus the profit. Due to global fall in crude oil prices, the manufacturing cost of petrol falls by 10%. If the company keeps the selling price unchanged, then what is the profit percentage now?

XYZ पेट्रोलियम 8 % के लाभ पर पेट्रोल बेचते हैं। विक्रय मूल्य, उत्पादन की लागत व लाभ के योगफल के बराबर है। कच्चे तेल की कीमतों में वैश्विक गिरावट की वजह से पेट्रोल की उत्पादन लागत 10 % तक गिर जाती है। यदि कंपनी विक्रय मूल्य को अपरिवर्तित रखती है तो अब लाभ का % क्या है?

Discussion

379.	How many employees are supervisors?
Answer» How many employees are supervisors?

Discussion

380.	A student multiplied a number by 35 instead of 53 .what is the percentage error in the question?
Answer» A student multiplied a number by $\frac{3}{5}$ instead of $\frac{5}{3}$ .what is the percentage error in the question?

Discussion

381.	Out of 14people 12 said that it was not the case that they watched television but not listen to the radio also 9 people said it was not the case they don't watch TV and don't listen radio finally 7 people either watch TV or radio but not both Now let A number of people who watch TV and B be the number of people who listens radio find A and B
Answer» Out of 14people 12 said that it was not the case that they watched television but not listen to the radio also 9 people said it was not the case they don't watch TV and don't listen radio finally 7 people either watch TV or radio but not both Now let A number of people who watch TV and B be the number of people who listens radio find A and B

Discussion

382.	Two trains 321 m and 99 m in length are running in opposite directions with velocities of 40 kmph and 32 kmph. In what time will they completely cross each other?
Answer» Two trains 321 m and 99 m in length are running in opposite directions with velocities of 40 kmph and 32 kmph. In what time will they completely cross each other?

Discussion

383.	X is a number formed by writing the first 1002 natural numbers one after another from left to right then find the remainder when X is divided by 9 is___
Answer» X is a number formed by writing the first 1002 natural numbers one after another from left to right then find the remainder when X is divided by 9 is___

Discussion

384.	Find the real values of 'x' such that x2 + 4 \|x\| - 4 = 0.
Answer» Find the real values of 'x' such that $x^{2}$ + 4 \|x\| - 4 = 0.

Discussion

385.	If the side of a square is increased by 25% , then its area is increased by how many percent?
Answer» If the side of a square is increased by $25 %$ , then its area is increased by how many percent?

Discussion

386.	Four equal circles, each of radius 5 cm, touch each other as shown in the following figure. Find the area included between them (Take π = 3.14).
Answer» Four equal circles, each of radius 5 cm, touch each other as shown in the following figure. Find the area included between them (Take π = 3.14).

Discussion

387.	In the Federal Research and Development Budget for 2001, what is the ratio of the budgeted amount for Basic Research and that for Applied Research?
Answer» In the Federal Research and Development Budget for 2001, what is the ratio of the budgeted amount for Basic Research and that for Applied Research?

Discussion

388.	If the difference between Eesha's marks in DI and VA is equal to the difference between the total marks of Amar and Bharat, then what is the sum of Eesha's score in DI and VA? ___
Answer» If the difference between Eesha's marks in DI and VA is equal to the difference between the total marks of Amar and Bharat, then what is the sum of Eesha's score in DI and VA? ___

Discussion

389.	Abc and DBC are on the same base BC and are on the opposite side of BC. If AD and BC intersect at O then prove ar(∆ABC)/ar(∆DBC)=AO/DO
Answer» Abc and DBC are on the same base BC and are on the opposite side of BC. If AD and BC intersect at O then prove ar(∆ABC)/ar(∆DBC)=AO/DO

Discussion

390.	Read the following information carefully and answer these questions Six boys, A, B, C, D, E, and F, are marching; in a line. They are arranged according to their height, the tallest being at the back and the shortest in front. F is between B and A. E is shorter than D but taller than C who is taller than A E and F have two boys between them. A is not the shortest among them. Q28. If we start counting from the shortest, which boy is fourth one in the line?
Answer» Read the following information carefully and answer these questions Six boys, A, B, C, D, E, and F, are marching; in a line. They are arranged according to their height, the tallest being at the back and the shortest in front. F is between B and A. E is shorter than D but taller than C who is taller than A E and F have two boys between them. A is not the shortest among them. Q28. If we start counting from the shortest, which boy is fourth one in the line?

390.

Read the following information carefully and answer these questions Six boys, A, B, C, D, E, and F, are marching; in a line. They are arranged according to their height, the tallest being at the back and the shortest in front. F is between B and A. E is shorter than D but taller than C who is taller than A E and F have two boys between them. A is not the shortest among them. Q28. If we start counting from the shortest, which boy is fourth one in the line?

Answer»

Read the following information carefully and answer these questions

Six boys, A, B, C, D, E, and F, are marching; in a line. They are arranged according to their height, the tallest being at the back and the shortest in front.

F is between B and A.

E is shorter than D but taller than C who is taller than A

E and F have two boys between them. A is not the shortest among them.

Q28. If we start counting from the shortest, which boy is fourth one in the line?

Discussion

391.	The Variance of the first 20 odd numbers is: (1)133 (2)135 (3)234 (4)342
Answer» The Variance of the first 20 odd numbers is: (1)133 (2)135 (3)234 (4)342

Discussion

392.	Shaji is a wholesale fish vendor, One day he bought 120 kilograms of fish at 70 rupees per kilograms. He spent 600 rupees to transport it to his shop. He found 40 kilograms of it decayed. The rest he sold at 95 rupees a kilogram. Does this result in a profit or loss? What is the percent?
Answer» Shaji is a wholesale fish vendor, One day he bought 120 kilograms of fish at 70 rupees per kilograms. He spent 600 rupees to transport it to his shop. He found 40 kilograms of it decayed. The rest he sold at 95 rupees a kilogram. Does this result in a profit or loss? What is the percent?

Discussion

393.	Question 1 (vi)State whether the pair of triangles in the below figure is similar. Write the similarity criterion used by you for answering the question and also write the pair of similar triangles in the symbolic form:
Answer» Question 1 (vi) State whether the pair of triangles in the below figure is similar. Write the similarity criterion used by you for answering the question and also write the pair of similar triangles in the symbolic form:

Discussion

394.	If D,E,F are respectively the mid points of the sides BC , CA and AB of △ABC and the area of △ ABC is 24 sq. cm, then the area of △ DEF is -
Answer» If D,E,F are respectively the mid points of the sides BC , CA and AB of $△$ ABC and the area of $△$ ABC is 24 sq. cm, then the area of $△$ DEF is -

394.

If D,E,F are respectively the mid points of the sides BC , CA and AB of △ABC and the area of △ ABC is 24 sq. cm, then the area of △ DEF is -

Answer»

If D,E,F are respectively the mid points of the sides BC , CA and AB of $△$ ABC and

the area of $△$ ABC is 24 sq. cm, then the area of $△$ DEF is -

Discussion

395.	Let different words be formed using all the letters from the word INDIANIDOL. If a denotes the number of words which contain INDIA but not INDIAN and b denotes the number of words which contain INDIAN but not IDOL, then
Answer» Let different words be formed using all the letters from the word INDIANIDOL. If $a$ denotes the number of words which contain INDIA but not INDIAN and $b$ denotes the number of words which contain INDIAN but not IDOL, then

Discussion

396.	Solve x2+4x+3x3−6x2+11x−6 > 0
Answer» Solve $\frac{x^{2} + 4 x + 3}{x^{3} - 6 x^{2} + 11 x - 6}$ > $0$

Discussion

397.	What is the ratio of the budgeted amount for Development by Defence to the total budgeted amount for sectors other than Defence?
Answer» What is the ratio of the budgeted amount for Development by Defence to the total budgeted amount for sectors other than Defence?

Discussion

398.	In given figure, O is the center of circle, chords AB and CD interact each other at P and PO bisect angle APD. If AB=8cm, OM. AB and OM. CD, find length of ND.
Answer» In given figure, O is the center of circle, chords AB and CD interact each other at P and PO bisect angle APD. If AB=8cm, OM. AB and OM. CD, find length of ND.

Discussion

399.	A train travelling at 48 km/hr completely corsses another train having half its length and travelling in opposite direction at 42 km/hr. in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is ___
Answer» A train travelling at 48 km/hr completely corsses another train having half its length and travelling in opposite direction at 42 km/hr. in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is ___

Discussion

400.	Find the least number of five digits which is exactly divisible by each of 8, 12, 18, 40 and 45
Answer» Find the least number of five digits which is exactly divisible by each of 8, 12, 18, 40 and 45

Discussion

Explore topic-wise InterviewSolutions in .

If the price of rice is increased by 20% today, at what percent should it be decreased tommorow, so as to bring down the price back to the original

How many cookies, in total, did Sundar eat?

A square of side a lies above the x axis and has one vertex at origin. The side passing through origin has an angle (alpha) (0

If the total amount spent by C is more than D but less than B, then what is the possible list of items that C could have had at the canteen?

In Database E, the number of persons, each of whose name, fax number as well as telephone number are available, is at least

Four distinct numbers are selected from first 100 natural numbers such that each number is divisible by both 3 and 5. The number of selections possible is ___

A square has two of its vertices on a circle and the other two are on the tangent to the circle. Find the area of the square if the radius of the circle is 5 units.

Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The value of m and n is respectively are:(a) 7, 6(b) 5, 1(c) 6, 3(d) 8, 7

The sum of 12×2213+22×3213+23+32×4213+23+33+..... upto n terms is equal to

One out of every three consecutive integer isalways divisible by

How many four digit numbers, which are divisible by 6, can be formed using the digits 0, 2, 3, 4, 6, such that no digits is used more than once and 0 does not occur in the left-most position? ___

If the final amount of money that Ghosh Babu had with him was Rs 100, what was the initial amount he had with him?

Question 24 (ii)A die is thrown twice. What is the probability that 5 will come up at least once?

How many pairs of positive integers (a, b) are there such that a and b have no common factor greater than 1 and ab+14b9a is an integer?

A boy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. He does 24 sums and obtains 37 marks. What was the number of correct sums ?

If the sum of n terms of a sequence is given bySn=n2+4n+1 then the nth term of the sequence is given by

The height of the triangle is 12 cm. If all the circles shown below are identical in size then find the radius of the circles.

What is the least number of innings in which 20 or 30 runs were scored (all players taken together)?

From the top of a building 60 m high, the angles of depression of the top and bottom of a tower are observed to be 30∘ and 60∘. Find the height of the tower. [4 MARKS]

In the given figure O is the Incentre for triangle ABC. Find ∠BOC if ∠BAC=40∘?

△ABC is isosceles with AB = AC. If a circle through B touches the side AC at its mid-point D and intersects the side AB at P, then find the value of APAB.

27. If x and y are odd integers then prove x2+y2 is even but not divisible by 4

25 Show that the points (a,a) , (-a,-a) and (-3a,3a) are the vertices of an equilateral triangle.Also, find its area.

The diagonal of a trapezium shaped field is 25m and the perpendiculars dropped on it from the remaining opposite vertices are 8m and 12m. Find the area of the field(in m2).

Let a, B, y be distinct real numbers. The points with position vectors oi +Bj+ yk, Bi + yj + ak, yi + aj +Bk (1) Are collinear (2) Form an equilateral triangle (3) Form a scalene triangle (4) Form a right angled triangle

How many employees are supervisors?

A student multiplied a number by 35 instead of 53 .what is the percentage error in the question?

Two trains 321 m and 99 m in length are running in opposite directions with velocities of 40 kmph and 32 kmph. In what time will they completely cross each other?

X is a number formed by writing the first 1002 natural numbers one after another from left to right then find the remainder when X is divided by 9 is___

Find the real values of 'x' such that x2 + 4 |x| - 4 = 0.

If the side of a square is increased by 25% , then its area is increased by how many percent?

Four equal circles, each of radius 5 cm, touch each other as shown in the following figure. Find the area included between them (Take π = 3.14).

In the Federal Research and Development Budget for 2001, what is the ratio of the budgeted amount for Basic Research and that for Applied Research?

If the difference between Eesha's marks in DI and VA is equal to the difference between the total marks of Amar and Bharat, then what is the sum of Eesha's score in DI and VA? ___

Abc and DBC are on the same base BC and are on the opposite side of BC. If AD and BC intersect at O then prove ar(∆ABC)/ar(∆DBC)=AO/DO

The Variance of the first 20 odd numbers is: (1)133 (2)135 (3)234 (4)342

Shaji is a wholesale fish vendor, One day he bought 120 kilograms of fish at 70 rupees per kilograms. He spent 600 rupees to transport it to his shop. He found 40 kilograms of it decayed. The rest he sold at 95 rupees a kilogram. Does this result in a profit or loss? What is the percent?

Question 1 (vi)State whether the pair of triangles in the below figure is similar. Write the similarity criterion used by you for answering the question and also write the pair of similar triangles in the symbolic form:

If D,E,F are respectively the mid points of the sides BC , CA and AB of △ABC and the area of △ ABC is 24 sq. cm, then the area of △ DEF is -

Let different words be formed using all the letters from the word INDIANIDOL. If a denotes the number of words which contain INDIA but not INDIAN and b denotes the number of words which contain INDIAN but not IDOL, then

Solve x2+4x+3x3−6x2+11x−6 > 0

What is the ratio of the budgeted amount for Development by Defence to the total budgeted amount for sectors other than Defence?

In given figure, O is the center of circle, chords AB and CD interact each other at P and PO bisect angle APD. If AB=8cm, OM. AB and OM. CD, find length of ND.

A train travelling at 48 km/hr completely corsses another train having half its length and travelling in opposite direction at 42 km/hr. in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is ___

Find the least number of five digits which is exactly divisible by each of 8, 12, 18, 40 and 45