32581 + Interview Questions in Mathematics

1.	Factorise : (x2−3x)(x2−3x−1)−20
Answer» Factorise : $(x^{2} - 3 x) (x^{2} - 3 x - 1) - 20$

1.

Factorise : (x2−3x)(x2−3x−1)−20

Answer»

Factorise :

$(x^{2} - 3 x) (x^{2} - 3 x - 1) - 20$

2.	A train travel 360km at uniform speed. If the speed had been 5km /hr more, it would have taken 1hr less. Find the speed of train.
Answer» A train travel 360km at uniform speed. If the speed had been 5km /hr more, it would have taken 1hr less. Find the speed of train.

Discussion

3.	A dividend of 12% was declared on Rs 100 share selling at a certain price . If the rate of return is 15% then amount which needs to be invested to obtain annual dividend of Rs 1440 will be
Answer» A dividend of 12% was declared on Rs 100 share selling at a certain price . If the rate of return is 15% then amount which needs to be invested to obtain annual dividend of Rs 1440 will be

Discussion

4.	A circle has two parallel chords of lengths 6 cm and 8 cm. If the chords are 1 cm apart and the center is on the same side of the chords, then diameter of the circle is of length
Answer» A circle has two parallel chords of lengths 6 cm and 8 cm. If the chords are 1 cm apart and the center is on the same side of the chords, then diameter of the circle is of length

Discussion

5.	Gautam purchased a bike, having marked price Rs. 46000 at a discount of 5%. If the sales tax is charged at a rate of 10%, find the amount Gautam has paid to purchase the bike.
Answer» Gautam purchased a bike, having marked price Rs. 46000 at a discount of 5%. If the sales tax is charged at a rate of 10%, find the amount Gautam has paid to purchase the bike.

Discussion

6.	For what value of k the terms k+1, 3k and 4k+2 are in arithmetic progression.
Answer» For what value of k the terms k+1, 3k and 4k+2 are in arithmetic progression.

Discussion

7.	Below are the entries in a Saving Bank Passbook: DateParticularsWithdrawalDepositBalance01−01−07B/fRs.1400001−02−07By cashRs.11500Rs.2550012−02−07To chequeRs5000Rs.2050005−04−07By cashRs.3750Rs.2425015−04−07To chequeRs.4250Rs.2000009−05−07By cashRs.1500Rs.2150004−06−07By cashRs.1500.Rs.23000 Find the interest for six months (from January to June) at 4% per annum on the minimum balance on or after the tenth day of each month.
Answer» Below are the entries in a Saving Bank Passbook: $\begin{matrix} D a t e & P a r t i c u l a r s & W i t h d r a w a l & D e p o s i t & B a l a n c e 01 - 01 - 07 & B / f & R s .14000 01 - 02 - 07 & B y c a s h & R s .11500 & R s .25500 12 - 02 - 07 & T o c h e q u e & R s 5000 & R s .20500 05 - 04 - 07 & B y c a s h & R s .3750 & R s .24250 15 - 04 - 07 & T o c h e q u e & R s .4250 & R s .20000 09 - 05 - 07 & B y c a s h & R s .1500 & R s .21500 04 - 06 - 07 & B y c a s h & R s .1500 . & R s .23000 \end{matrix}$ Find the interest for six months (from January to June) at 4% per annum on the minimum balance on or after the tenth day of each month.

7.

Below are the entries in a Saving Bank Passbook: DateParticularsWithdrawalDepositBalance01−01−07B/fRs.1400001−02−07By cashRs.11500Rs.2550012−02−07To chequeRs5000Rs.2050005−04−07By cashRs.3750Rs.2425015−04−07To chequeRs.4250Rs.2000009−05−07By cashRs.1500Rs.2150004−06−07By cashRs.1500.Rs.23000 Find the interest for six months (from January to June) at 4% per annum on the minimum balance on or after the tenth day of each month.

Answer»

Below are the entries in a Saving Bank Passbook:

$\begin{matrix} D a t e & P a r t i c u l a r s & W i t h d r a w a l & D e p o s i t & B a l a n c e 01 - 01 - 07 & B / f & R s .14000 01 - 02 - 07 & B y c a s h & R s .11500 & R s .25500 12 - 02 - 07 & T o c h e q u e & R s 5000 & R s .20500 05 - 04 - 07 & B y c a s h & R s .3750 & R s .24250 15 - 04 - 07 & T o c h e q u e & R s .4250 & R s .20000 09 - 05 - 07 & B y c a s h & R s .1500 & R s .21500 04 - 06 - 07 & B y c a s h & R s .1500 . & R s .23000 \end{matrix}$

Find the interest for six months (from January to June) at 4% per annum on the minimum balance on or after the tenth day of each month.

Discussion

8.	The sum of 'r' terms of an AP is Sr=(2r2+3r). The nth term is :
Answer» The sum of 'r' terms of an AP is $S_{r} = (2 r^{2} + 3 r)$ . The $n^{t h}$ term is :

Discussion

9.	The mean weight of a group of seven boys is 56 kg. The individual weights (in kg) of six of them are 52, 57, 55, 60, 59 and 55. Find the weight of the seventh boy.
Answer» The mean weight of a group of seven boys is 56 kg. The individual weights (in kg) of six of them are 52, 57, 55, 60, 59 and 55. Find the weight of the seventh boy.

Discussion

10.	In a class test, the sum of Kamal's marks in mathematics and English is 40. Had he got 3 marks more in mathematics and 4 marks less in English, the product of the marks would have been 360. Find his marks in two subjects separately.
Answer» In a class test, the sum of Kamal's marks in mathematics and English is 40. Had he got 3 marks more in mathematics and 4 marks less in English, the product of the marks would have been 360. Find his marks in two subjects separately.

Discussion

11.	What are the x-intercepts of the graph of y = 12x2 −5x −2?
Answer» What are the x-intercepts of the graph of y = 12x² −5x −2?

Discussion

12.	What is the formula used to find the length of the arc of a sector?
Answer» What is the formula used to find the length of the arc of a sector?

Discussion

13.	In a right triangle △ABC right angled at B, BD is a perpendicular, dropped onto the hypotenuse. If AC=2AB and area of △ABC =5 sq. units, what is the area of △ABD?
Answer» In a right triangle $△$ ABC right angled at B, BD is a perpendicular, dropped onto the hypotenuse. If $A C = 2 A B$ and area of $△$ ABC $= 5$ sq. units, what is the area of $△$ ABD?

Discussion

14.	Match the two columns: Column−IColumn−II(A) The radius of a circle is 8 cm and(p) 23 cm the length of one of its chords is 12 cm. The distance of the chord form the centre is (B) Two parallel chords of length 30 cm (q) 5.196cm and 16 cm are drawn on the opposite sides of the centre of a circle of radius 17 cm. The distance between the chords is(C) The length of a chords which is at a distance of(r) 5.291 cm 4 cm from the centre of the circle of radius 6 cm is(D) An equilateral triangle of side 9 cm is inscribed (s) 8.94 cm in a circle. The radius of the circle is Choose the correct option:
Answer» Match the two columns: $\begin{matrix} C o l u m n - I & C o l u m n - I I (A) T h e r a d i u s o f a c i r c l e i s 8 c m a n d & (p) 23 c m t h e l e n g t h o f o n e o f i t s c h o r d s i s 12 c m . T h e d i s t a n c e o f t h e c h o r d f o r m t h e c e n t r e i s (B) T w o p a r a l l e l c h o r d s o f l e n g t h 30 c m & (q) 5.196 c m a n d 16 c m a r e d r a w n o n t h e o p p o s i t e s i d e s o f t h e c e n t r e o f a c i r c l e o f r a d i u s 17 c m . T h e d i s t a n c e b e t w e e n t h e c h o r d s i s (C) T h e l e n g t h o f a c h o r d s w h i c h i s a t a d i s t a n c e o f & (r) 5.291 c m 4 c m f r o m t h e c e n t r e o f t h e c i r c l e o f r a d i u s 6 c m i s (D) A n e q u i l a t e r a l t r i a n g l e o f s i d e 9 c m i s i n s c r i b e d & (s) 8.94 c m i n a c i r c l e . T h e r a d i u s o f t h e c i r c l e i s C h o o s e t h e c o r r e c t o p t i o n : \end{matrix}$

Discussion

15.	Express GCD of 48 and 18 as a linear combination.
Answer» Express GCD of 48 and 18 as a linear combination.

Discussion

16.	Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If her total dividend per annum is Rs. 1360, how much does she invest in 12% stock at Rs. 120?
Answer» Sakshi invests a part of Rs. 12,000 in $12 %$ stock at Rs. 120 and the remainder in $15 %$ stock at Rs. 125. If her total dividend per annum is Rs. 1360, how much does she invest in $12 %$ stock at Rs. 120?

Discussion

17.	Question 3 (iv) Multiply the following fractions 56×237
Answer» Question 3 (iv) Multiply the following fractions $\frac{5}{6} \times 2 \frac{3}{7}$

Discussion

18.	If A=[1111],B=[1201], find AB+BA-2B
Answer» If $A = [\begin{matrix} 1 & 1 1 & 1 \end{matrix}], B = [\begin{matrix} 1 & 2 0 & 1 \end{matrix}]$ , find AB+BA-2B

Discussion

19.	Determine the AP whose 3rd term is 5 and the 7th term is 9.
Answer» Determine the AP whose $3^{r d}$ term is 5 and the $7^{t h}$ term is 9.

Discussion

20.	In the figure given below, A is (-2, 3) and M (0,4) is mid-point of AB. If P divides OB in the ratio 3 : 1 and Q divides OA in the ratio 1 : 3, find: i) the co-ordinates of B ii) the distance PQ.
Answer» In the figure given below, A is (-2, 3) and M (0,4) is mid-point of AB. If P divides OB in the ratio 3 : 1 and Q divides OA in the ratio 1 : 3, find: i) the co-ordinates of B ii) the distance PQ.

20.

In the figure given below, A is (-2, 3) and M (0,4) is mid-point of AB. If P divides OB in the ratio 3 : 1 and Q divides OA in the ratio 1 : 3, find: i) the co-ordinates of B ii) the distance PQ.

Answer»

In the figure given below, A is (-2, 3) and M (0,4) is mid-point of AB. If P divides OB in the ratio 3 : 1 and Q divides OA in the ratio 1 : 3, find:

i) the co-ordinates of B

ii) the distance PQ.

Discussion

21.	Find the coordinates of the foot of the ⏊ dropped from the point P(3 , 1) to the line AB whose equation is 2 – y = 3.
Answer» Find the coordinates of the foot of the ⏊ dropped from the point P(3 , 1) to the line AB whose equation is 2 – y = 3.

Discussion

22.	Find the third vertices of equilateral triangle whose vertices are (3,4) and (-2,3)
Answer» Find the third vertices of equilateral triangle whose vertices are (3,4) and (-2,3)

Discussion

23.	A metallic cylinder of radius 8 cm and height 2 cm is melted and converted into a right circular cone of height 6 cm. The radius of the base of this cone is (a) 4 cm (b) 5 cm (c) 6 cm (d) 8 cm
Answer» A metallic cylinder of radius 8 cm and height 2 cm is melted and converted into a right circular cone of height 6 cm. The radius of the base of this cone is (a) 4 cm (b) 5 cm (c) 6 cm (d) 8 cm

23.

A metallic cylinder of radius 8 cm and height 2 cm is melted and converted into a right circular cone of height 6 cm. The radius of the base of this cone is (a) 4 cm (b) 5 cm (c) 6 cm (d) 8 cm

Answer»

A metallic cylinder of radius 8 cm and height 2 cm is melted and converted into a right circular cone of height 6 cm. The radius of the base of this cone is

(a) 4 cm (b) 5 cm (c) 6 cm (d) 8 cm

Discussion

24.	Question 49 A reciprocal of a fraction is obtained by inverting it upside down.
Answer» Question 49 A reciprocal of a fraction is obtained by inverting it upside down.

24.

Question 49 A reciprocal of a fraction is obtained by inverting it upside down.

Answer»

Question 49

A reciprocal of a fraction is obtained by inverting it upside down.

Discussion

25.	The solution (x,y) for the given pair of linear equations is a1x + b1y + c1=0 and a2x + b2y + c2=0
Answer» The solution (x,y) for the given pair of linear equations is $a_{1}$ x + $b_{1}$ y + $c_{1}$ =0 and $a_{2}$ x + $b_{2}$ y + $c_{2}$ =0

Discussion

26.	In the given figure, O is the centre of the circle. A is any point on minor arc BC. Find the value of ∠BAC−∠OBC.
Answer» In the given figure, O is the centre of the circle. A is any point on minor arc BC. Find the value of $∠ B A C - ∠ O B C$ .

Discussion

27.	15 is the mean proportional of which of the following?
Answer» 15 is the mean proportional of which of the following?

Discussion

28.	xifi4108111291613 Find ∑fixi from the given table. f = frequency
Answer» $\begin{matrix} x_{i} & f_{i} 4 & 10 8 & 11 12 & 9 16 & 13 \end{matrix}$ Find $\sum f_{i} x_{i}$ from the given table. $f$ = frequency

Discussion

29.	A number is randomly selected from the first 40 natural numbers. What is the probability that the selected number is divisible by 5 or 7?
Answer» A number is randomly selected from the first 40 natural numbers. What is the probability that the selected number is divisible by 5 or 7?

Discussion

30.	Find the sum to 20 terms in the geometric progression 0.15, 0.015, 0.0015 ...
Answer» Find the sum to 20 terms in the geometric progression 0.15, 0.015, 0.0015 ...

Discussion

31.	Re. 1 and Rs. 5 coins are available (as many required). Find the smallest payment which cannot be made by these coins, if not more than 5 coins are allowed.
Answer» Re. 1 and Rs. 5 coins are available (as many required). Find the smallest payment which cannot be made by these coins, if not more than 5 coins are allowed.

Discussion

32.	In a school there are only two sections A and B if 10 students are sent from A to B the no of students in each room is same if 20 students are sent from B to A the no of students in A is double the number of students in B find the no of students in each room
Answer» In a school there are only two sections A and B if 10 students are sent from A to B the no of students in each room is same if 20 students are sent from B to A the no of students in A is double the number of students in B find the no of students in each room

Discussion

33.	Find HCF and LCM for 8,9 and 25
Answer» Find HCF and LCM for $8, 9$ and $25$

Discussion

34.	The mean of first 10 natural numbers is:
Answer» The mean of first 10 natural numbers is:

Discussion

35.	National Stock Exchange followed the same trend as BSE sensex in all except for x period. What will be the value of x ?
Answer» National Stock Exchange followed the same trend as BSE sensex in all except for x period. What will be the value of x ?

Discussion

36.	Using the statements below, find out the value of x. i) The L.C.M of x and 18 is 36. ii) The H.C.F of x and 18 is 2. 4
Answer» Using the statements below, find out the value of x. i) The L.C.M of x and 18 is 36. ii) The H.C.F of x and 18 is 2. 4

Discussion

37.	A spherical ball of lead has been melted and made into identical smaller balls with radius equal to half of the radius of the original one. How many such balls can be made.
Answer» A spherical ball of lead has been melted and made into identical smaller balls with radius equal to half of the radius of the original one. How many such balls can be made.

Discussion

38.	In the given, PQ is a diameter. Chord SR is parallel to PQ. Given that ∠ PQR=58∘ Calculate: ∠ STP
Answer» In the given, PQ is a diameter. Chord SR is parallel to PQ. Given that $∠ P Q R = 58^{\circ}$ Calculate: $∠ S T P$

38.

In the given, PQ is a diameter. Chord SR is parallel to PQ. Given that ∠ PQR=58∘ Calculate: ∠ STP

Answer»

In the given, PQ is a diameter. Chord SR is parallel to PQ. Given that $∠ P Q R = 58^{\circ}$ Calculate: $∠ S T P$

Discussion

39.	Puneet has a Recurring Deposit Account in the Bank of Baroda and deposits ₹140 per month for 4 years. If he gets ₹8,092 on maturity, find the rate of interest given by the bank.
Answer» Puneet has a Recurring Deposit Account in the Bank of Baroda and deposits ₹140 per month for 4 years. If he gets ₹8,092 on maturity, find the rate of interest given by the bank.

Discussion

40.	Mr. Sharma buys 60 shares of nominal value of Rs 100 and he decides to sell them when they are at a premium of 60%. He invests the proceeds in shares of nominal value of Rs 50, quotes at 4% discount, paying 18% dividend annually. Calculate: (i) the sale proceeds, (ii) the number of shares he buys and (iii) the annual dividend from these shares [3 MARKS]
Answer» Mr. Sharma buys 60 shares of nominal value of Rs 100 and he decides to sell them when they are at a premium of $60 %$ . He invests the proceeds in shares of nominal value of Rs 50, quotes at $4 %$ discount, paying $18 %$ dividend annually. Calculate: (i) the sale proceeds, (ii) the number of shares he buys and (iii) the annual dividend from these shares [3 MARKS]

Discussion

41.	A sailor goes 8km downstream in 40 minutes and returns in 1hr. Determine the speed of the sailor in still water and speed of the current.
Answer» A sailor goes 8km downstream in 40 minutes and returns in 1hr. Determine the speed of the sailor in still water and speed of the current.

Discussion

42.	How can we identify which side of the right angled triangle is base and which side is perpendicular if both the theta of triangle are not equal?
Answer» How can we identify which side of the right angled triangle is base and which side is perpendicular if both the theta of triangle are not equal?

Discussion

43.	A man sold an article for rs. 495 and and gained 10% on it. Find the cost price of the article.
Answer» A man sold an article for rs. 495 and and gained 10% on it. Find the cost price of the article.

Discussion

44.	There are 156, 208 and 260 students in groups A,B and C, respectively. Buses are to be hired to take them for a field trip. Find the minimum number of buses to be hired, if the same number of students should be accommodated in each bus.
Answer» There are 156, 208 and 260 students in groups A,B and C, respectively. Buses are to be hired to take them for a field trip. Find the minimum number of buses to be hired, if the same number of students should be accommodated in each bus.

Discussion

45.	1+tanAtanA/1+cotAcotA=1-tanA/1-cotA Prove it
Answer» 1+tanAtanA/1+cotAcotA=1-tanA/1-cotA Prove it

45.

1+tanAtanA/1+cotAcotA=1-tanA/1-cotA Prove it

Answer»

1+tanA*tanA/1+cotA*cotA=1-tanA/1-cotA

Prove it

Discussion

46.	Draw a circle of radius 4 cm. Take a point P on it. Without using the centre of the circle, draw a tangent to the circle at point P. [4 MARKS]
Answer» Draw a circle of radius 4 cm. Take a point P on it. Without using the centre of the circle, draw a tangent to the circle at point P. [4 MARKS]

Discussion

47.	One day, the ratio of the number of first class and second class passengers who travelled were 1:30. The ratio of the first and second class fares is 3:1. The total amount collected from the passengers that day was 66000 rupees. What is the amount collected from the first class passengers?
Answer» One day, the ratio of the number of first class and second class passengers who travelled were 1:30. The ratio of the first and second class fares is 3:1. The total amount collected from the passengers that day was 66000 rupees. What is the amount collected from the first class passengers?

Discussion

48.	Why sinx is projection of OP on y axis and why cosx is projection of OP on x axis?
Answer» Why sinx is projection of OP on y axis and why cosx is projection of OP on x axis?

Discussion

49.	In △ ABC ∼ △ PQR by AAA criteria and ∠B=∠R=60∘. Find ∠ RPQ.
Answer» In $△$ ABC $\sim$ $△$ PQR by AAA criteria and $∠ B = ∠ R = 60^{\circ}$ . Find $∠$ RPQ.

Discussion

50.	One of the roots of the quadratic equation 6x2 - x - 2 = 0 is:
Answer» One of the roots of the quadratic equation 6x² - x - 2 = 0 is:

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Factorise : (x2−3x)(x2−3x−1)−20

A train travel 360km at uniform speed. If the speed had been 5km /hr more, it would have taken 1hr less. Find the speed of train.

A dividend of 12% was declared on Rs 100 share selling at a certain price . If the rate of return is 15% then amount which needs to be invested to obtain annual dividend of Rs 1440 will be

A circle has two parallel chords of lengths 6 cm and 8 cm. If the chords are 1 cm apart and the center is on the same side of the chords, then diameter of the circle is of length

Gautam purchased a bike, having marked price Rs. 46000 at a discount of 5%. If the sales tax is charged at a rate of 10%, find the amount Gautam has paid to purchase the bike.

For what value of k the terms k+1, 3k and 4k+2 are in arithmetic progression.

The sum of 'r' terms of an AP is Sr=(2r2+3r). The nth​ term is :

The mean weight of a group of seven boys is 56 kg. The individual weights (in kg) of six of them are 52, 57, 55, 60, 59 and 55. Find the weight of the seventh boy.

In a class test, the sum of Kamal's marks in mathematics and English is 40. Had he got 3 marks more in mathematics and 4 marks less in English, the product of the marks would have been 360. Find his marks in two subjects separately.

What are the x-intercepts of the graph of y = 12x2 −5x −2?

What is the formula used to find the length of the arc of a sector?

In a right triangle △ABC right angled at B, BD is a perpendicular, dropped onto the hypotenuse. If AC=2AB and area of △ABC =5 sq. units, what is the area of △ABD?

Express GCD of 48 and 18 as a linear combination.

Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If her total dividend per annum is Rs. 1360, how much does she invest in 12% stock at Rs. 120?

Question 3 (iv) Multiply the following fractions 56×237

If A=[1111],B=[1201], find AB+BA-2B

Determine the AP whose 3rd term is 5 and the 7th term is 9.

In the figure given below, A is (-2, 3) and M (0,4) is mid-point of AB. If P divides OB in the ratio 3 : 1 and Q divides OA in the ratio 1 : 3, find: i) the co-ordinates of B ii) the distance PQ.

Find the coordinates of the foot of the ⏊ dropped from the point P(3 , 1) to the line AB whose equation is 2 – y = 3.

Find the third vertices of equilateral triangle whose vertices are (3,4) and (-2,3)

A metallic cylinder of radius 8 cm and height 2 cm is melted and converted into a right circular cone of height 6 cm. The radius of the base of this cone is (a) 4 cm (b) 5 cm (c) 6 cm (d) 8 cm

Question 49 A reciprocal of a fraction is obtained by inverting it upside down.

The solution (x,y) for the given pair of linear equations is a1x + b1y + c1=0 and a2x + b2y + c2=0

In the given figure, O is the centre of the circle. A is any point on minor arc BC. Find the value of ∠BAC−∠OBC.

15 is the mean proportional of which of the following?

xifi4108111291613 Find ∑fixi from the given table. f = frequency

A number is randomly selected from the first 40 natural numbers. What is the probability that the selected number is divisible by 5 or 7?

Find the sum to 20 terms in the geometric progression 0.15, 0.015, 0.0015 ...

Re. 1 and Rs. 5 coins are available (as many required). Find the smallest payment which cannot be made by these coins, if not more than 5 coins are allowed.

In a school there are only two sections A and B if 10 students are sent from A to B the no of students in each room is same if 20 students are sent from B to A the no of students in A is double the number of students in B find the no of students in each room

Find HCF and LCM for 8,9 and 25

The mean of first 10 natural numbers is:

National Stock Exchange followed the same trend as BSE sensex in all except for x period. What will be the value of x ?

Using the statements below, find out the value of x. i) The L.C.M of x and 18 is 36. ii) The H.C.F of x and 18 is 2. 4

A spherical ball of lead has been melted and made into identical smaller balls with radius equal to half of the radius of the original one. How many such balls can be made.

In the given, PQ is a diameter. Chord SR is parallel to PQ. Given that ∠ PQR=58∘ Calculate: ∠ STP

Puneet has a Recurring Deposit Account in the Bank of Baroda and deposits ₹140 per month for 4 years. If he gets ₹8,092 on maturity, find the rate of interest given by the bank.

A sailor goes 8km downstream in 40 minutes and returns in 1hr. Determine the speed of the sailor in still water and speed of the current. ​

How can we identify which side of the right angled triangle is base and which side is perpendicular if both the theta of triangle are not equal?

A man sold an article for rs. 495 and and gained 10% on it. Find the cost price of the article.

There are 156, 208 and 260 students in groups A,B and C, respectively. Buses are to be hired to take them for a field trip. Find the minimum number of buses to be hired, if the same number of students should be accommodated in each bus.

1+tanA*tanA/1+cotA*cotA=1-tanA/1-cotA Prove it

Draw a circle of radius 4 cm. Take a point P on it. Without using the centre of the circle, draw a tangent to the circle at point P. [4 MARKS]

One day, the ratio of the number of first class and second class passengers who travelled were 1:30. The ratio of the first and second class fares is 3:1. The total amount collected from the passengers that day was 66000 rupees. What is the amount collected from the first class passengers?

Why sinx is projection of OP on y axis and why cosx is projection of OP on x axis?

In △ ABC ∼ △ PQR by AAA criteria and ∠B=∠R=60∘. Find ∠ RPQ.

One of the roots of the quadratic equation 6x2 - x - 2 = 0 is:

The sum of 'r' terms of an AP is Sr=(2r2+3r). The nth term is :

A sailor goes 8km downstream in 40 minutes and returns in 1hr. Determine the speed of the sailor in still water and speed of the current.

1+tanAtanA/1+cotAcotA=1-tanA/1-cotA Prove it