32581 + Interview Questions in Mathematics Page 156 InterviewSolution

7751.	In a circket match, a batsman hits a boundary 6 times out of 30 balls he plays. Find the probability that he did not hit a boundary.
Answer» In a circket match, a batsman hits a boundary 6 times out of 30 balls he plays. Find the probability that he did not hit a boundary.

Discussion

7752.	33 I roll a pair of dice and the sum of the digits on the pair of dice was more than 9. What is the probability that the digit on the first dice was an even number?
Answer» 33 I roll a pair of dice and the sum of the digits on the pair of dice was more than 9. What is the probability that the digit on the first dice was an even number?

Discussion

7753.	If Mohan has 6 girls, the percentage of probability of7th child to be girl is(a) 25%(c) 75%(b) 50%(d) 100%
Answer» If Mohan has 6 girls, the percentage of probability of7th child to be girl is(a) 25%(c) 75%(b) 50%(d) 100%

Discussion

7754.	The difference between the measure of an angle x and twice its reflex is 51°. What is the value of x?
Answer» The difference between the measure of an angle x and twice its reflex is 51°. What is the value of x?

Discussion

7755.	The quadratic polynomial p(x) has the following properties: p(x) can be positive or zero for all real numbers, p(1)=0 and p(2)=2. Then find the quadratic polynomial
Answer» The quadratic polynomial p(x) has the following properties: p(x) can be positive or zero for all real numbers, p(1)=0 and p(2)=2. Then find the quadratic polynomial

Discussion

7756.	Show that the square of an odd positive integer is of the form 8q + 1, for some integer q?
Answer» Show that the square of an odd positive integer is of the form 8q + 1, for some integer q?

Discussion

7757.	Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients23x2-5x+3
Answer» Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients $2 \sqrt{3} x^{2} - 5 x + \sqrt{3}$

Discussion

7758.	The 24th term of an AP is twice its 10th term. Show that its 72nd term is 4 times its 15th term. [CBSE 2013]
Answer» The 24th term of an AP is twice its 10th term. Show that its 72nd term is 4 times its 15th term. [CBSE 2013]

Discussion

7759.	The average age of 3 families is 27. The number of members in each of the family is 3 and the average age of family 1 is 22, the average age of family 2 is 30. Find the average age of family 3.
Answer» The average age of 3 families is 27. The number of members in each of the family is 3 and the average age of family 1 is 22, the average age of family 2 is 30. Find the average age of family 3.

Discussion

7760.	Question 2 A(6,1) B(8,2) and C(9,4) are three vertices of a parallelogram ABCD. If E is the mid-point of DC, then find the area of Δ ADE.
Answer» Question 2 A(6,1) B(8,2) and C(9,4) are three vertices of a parallelogram ABCD. If E is the mid-point of DC, then find the area of $Δ$ ADE.

Discussion

7761.	The number of direct common tangents to two circles that do not touch or intersect is ____.
Answer» The number of direct common tangents to two circles that do not touch or intersect is ____.

Discussion

7762.	Question 11 Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.
Answer» Question 11 Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.

7762.

Question 11 Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.

Answer»

Question 11

Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.

Discussion

7763.	How many natural numbers are there between 400 and 700 which are divisible by 9.
Answer» How many natural numbers are there between 400 and 700 which are divisible by 9.

Discussion

7764.	Question 30(i) All the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards are well shuffled and then one card is drawn at random. Giving ace a value 1 similar value for other cards, find the probability that the card has a value 7.
Answer» Question 30(i) All the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards are well shuffled and then one card is drawn at random. Giving ace a value 1 similar value for other cards, find the probability that the card has a value 7.

Discussion

7765.	Which of the following banks deal in foreign exchange?
Answer» Which of the following banks deal in foreign exchange?

Discussion

7766.	A card is drawn from a well-shuffled deck of playing cards. Find the probability of drawing a black card which is neither a face card nor an ace?
Answer» A card is drawn from a well-shuffled deck of playing cards. Find the probability of drawing a black card which is neither a face card nor an ace?

Discussion

7767.	Find four rational number between 4 and 5. How many rational number lie between these two numbers.
Answer» Find four rational number between 4 and 5. How many rational number lie between these two numbers.

Discussion

7768.	There is a tent in a conical shape. The slant height of the tent is 14 m. If the curved surface area of the tent is 308 m2 , then what is the base area of the tent? (Take π=227)
Answer» There is a tent in a conical shape. The slant height of the tent is 14 m. If the curved surface area of the tent is 308 m², then what is the base area of the tent? (Take $π = \frac{22}{7}$ )

7768.

There is a tent in a conical shape. The slant height of the tent is 14 m. If the curved surface area of the tent is 308 m2 , then what is the base area of the tent? (Take π=227)

Answer»

There is a tent in a conical shape. The slant height of the tent is 14 m. If the curved surface area of the tent is 308 m², then what is the base area of the tent? (Take $π = \frac{22}{7}$ )

Discussion

7769.	Question 7A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively, and the slant height of the top is 2.8 m, find the area of the canvas used for making the tent. Also, find the cost of the canvas of the tent at the rate of Rs 500 per m2. (Note that the base of the tent will not be covered with canvas.)
Answer» Question 7 A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively, and the slant height of the top is 2.8 m, find the area of the canvas used for making the tent. Also, find the cost of the canvas of the tent at the rate of Rs 500 per $m^{2}$ . (Note that the base of the tent will not be covered with canvas.)

Discussion

7770.	Find the number of elements of × which satisfy the inequation −2≤(12)−(2x3)≤1(56), x ϵ N
Answer» Find the number of elements of $\times$ which satisfy the inequation $- 2 \leq (\frac{1}{2}) - (\frac{2 x}{3}) \leq 1 (\frac{5}{6}), x ϵ N$

7770.

Find the number of elements of × which satisfy the inequation −2≤(12)−(2x3)≤1(56), x ϵ N

Answer»

Find the number of elements of $\times$ which satisfy the inequation

$- 2 \leq (\frac{1}{2}) - (\frac{2 x}{3}) \leq 1 (\frac{5}{6}), x ϵ N$

Discussion

7771.	Complete the AP: ___ , 3, ___ , -5.
Answer» Complete the AP: ___ , 3, ___ , -5.

Discussion

7772.	A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors as shown in figure. Find.(i) The total length of the silver wire required.(ii) The area of each sector of the brooch
Answer» A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors as shown in figure. Find. (i) The total length of the silver wire required. (ii) The area of each sector of the brooch

7772.

A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors as shown in figure. Find.(i) The total length of the silver wire required.(ii) The area of each sector of the brooch

Answer»

A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors as shown in figure. Find.

(i) The total length of the silver wire required.

(ii) The area of each sector of the brooch

Discussion

7773.	The digits of a positive integer whose three digits are in AP and their sum is 21. The number obtained by reversing the digits is 396 less than the original number. Find the number.
Answer» The digits of a positive integer whose three digits are in AP and their sum is 21. The number obtained by reversing the digits is 396 less than the original number. Find the number.

Discussion

7774.	A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find it volume. If 1m3 wheat cost is ₹ 10 , then find total cost.
Answer» A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find it volume. If $1 m^{3}$ wheat cost is ₹ 10 , then find total cost.

Discussion

7775.	Meena went to a bank to withdraw Rs 2000. She asked the cashier to give her Rs 50 and Rs 100 notes only. Meena got 25 notes in all. Find how many notes Rs 50 and Rs 100 she received.
Answer» Meena went to a bank to withdraw Rs 2000. She asked the cashier to give her Rs 50 and Rs 100 notes only. Meena got 25 notes in all. Find how many notes Rs 50 and Rs 100 she received.

Discussion

7776.	Question 1 (i)For which value (s) λ, do the pair of linear equations λx+y=λ2 and x+λy=1 have no solution.
Answer» Question 1 (i) For which value (s) $λ$ , do the pair of linear equations $λ x + y = λ^{2} a n d x + λ y = 1$ have no solution.

Discussion

7777.	A cyclist travels at the rate of 14.4 km/hr and the radius of the wheel is 35 cm. What is the measure of the angle in radian through which a spoke of the wheel will turn in one second?
Answer» A cyclist travels at the rate of 14.4 km/hr and the radius of the wheel is 35 cm. What is the measure of the angle in radian through which a spoke of the wheel will turn in one second?

Discussion

7778.

Record the following transactions in the books of Sahdev & Sons assuming all transactions have been entered within the state of Bihar, Charging CGST and SGST 9% each. (i) Bought goods from Nanak Bros. for ₹ 4,00,000 at 10% trade discount and 3% cash discount on purchase price. 25% of the amount paid at the time of purchase. (ii) Sold goods to Kumar & Sons. for ₹ 2,00,000 at 20% trade discount and 5% cash discount on sale price. 60% of the amount received by Cheque. (iii) Received from Gopi Chand ₹ 38,000 by Cheque after deducting 5% cash discount. (iv) Paid ₹ 20,000 for rent by Cheque. (v) Paid ₹ 50,000 for salaries by Cheque. (vi) Goods worth ₹ 10,000 distributed as free samples. (vii) ₹ 5,000 due from Chanderkant are bad-debts. (viii) Sold household furniture for ₹ 15,000 and the proceeds were invested into business.

Answer» Record the following transactions in the books of Sahdev & Sons assuming all transactions have been entered within the state of Bihar, Charging CGST and SGST 9% each.

(i)	Bought goods from Nanak Bros. for ₹ 4,00,000 at 10% trade discount and 3% cash discount on purchase price. 25% of the amount paid at the time of purchase.
(ii)	Sold goods to Kumar & Sons. for ₹ 2,00,000 at 20% trade discount and 5% cash discount on sale price. 60% of the amount received by Cheque.
(iii)	Received from Gopi Chand ₹ 38,000 by Cheque after deducting 5% cash discount.
(iv)	Paid ₹ 20,000 for rent by Cheque.
(v)	Paid ₹ 50,000 for salaries by Cheque.
(vi)	Goods worth ₹ 10,000 distributed as free samples.
(vii)	₹ 5,000 due from Chanderkant are bad-debts.
(viii)	Sold household furniture for ₹ 15,000 and the proceeds were invested into business.

Discussion

7779.	The lateral surface area of a right circular cone of height 28 cm and base radius 21 cm is:
Answer» The lateral surface area of a right circular cone of height 28 cm and base radius 21 cm is:

Discussion

7780.	If Δ ABC is isosceles with AB = AC and C (O, r) is the incircle of the ΔABC touching BC at L,prove that L bisects BC.
Answer» If Δ ABC is isosceles with AB = AC and C (O, r) is the incircle of the ΔABC touching BC at L,prove that L bisects BC.

Discussion

7781.	In the quadrilateral ABCD, we have AB = 3 cm, BC = 4 cm, AC = 5 cm, ∠A = 120°, ∠C = 70°. If we draw the circle with AC as diameter, which of the four vertices of ABCD would be inside the circle? Which of them would be outside this circle? Is any vertex on the circle? What about the circle with BD as diameter.
Answer» In the quadrilateral ABCD, we have AB = 3 cm, BC = 4 cm, AC = 5 cm, ∠A = 120°, ∠C = 70°. If we draw the circle with AC as diameter, which of the four vertices of ABCD would be inside the circle? Which of them would be outside this circle? Is any vertex on the circle? What about the circle with BD as diameter.

Discussion

7782.	Sort the following algebraic equations according to the increasing values of their unknowns.
Answer» Sort the following algebraic equations according to the increasing values of their unknowns.

Discussion

7783.	PA and PB are two tangents drawn from an external point P to a circle with centre O. If ∠PBA = 65°, then ∠APB = _______.
Answer» PA and PB are two tangents drawn from an external point P to a circle with centre O. If ∠PBA = 65°, then ∠APB = _______.

Discussion

7784.	Regardez l'image et répondez aux questions suivantes.1. Où sont les étudiants?2. Où sont les livres des étudiants?3. Où est le professeur?4. Est - ce que le tableau est devant les étudiants?5. Où est le placard?6. Est - ce que la fenêtre est à droite du tableau?7. Est - ce que le sac du professeur est sur la table?
Answer» Regardez l'image et répondez aux questions suivantes. 1. Où sont les étudiants? 2. Où sont les livres des étudiants? 3. Où est le professeur? 4. Est - ce que le tableau est devant les étudiants? 5. Où est le placard? 6. Est - ce que la fenêtre est à droite du tableau? 7. Est - ce que le sac du professeur est sur la table?

Discussion

7785.	A survey was conducted on 20 families in a locality by a group of students. What will be the mode of the data? Age of family member0−2020−4040−6060−8080−100Number of students78221
Answer» A survey was conducted on 20 families in a locality by a group of students. What will be the mode of the data? $\begin{matrix} Age of family member & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 Number of students & 7 & 8 & 2 & 2 & 1 \end{matrix}$

7785.

A survey was conducted on 20 families in a locality by a group of students. What will be the mode of the data? Age of family member0−2020−4040−6060−8080−100Number of students78221

Answer»

A survey was conducted on 20 families in a locality by a group of students. What will be the mode of the data?

$\begin{matrix} Age of family member & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 Number of students & 7 & 8 & 2 & 2 & 1 \end{matrix}$

Discussion

7786.	Prove that 3+2√5 is irrational.
Answer» Prove that $3 + 2 \sqrt{5}$ is irrational.

Discussion

7787.	Look at this series: 22, 21, 23, 22, 24, 23 ...What number should come next?
Answer» Look at this series: 22, 21, 23, 22, 24, 23 ...What number should come next?

Discussion

7788.	A shopkeeper sells 128 litres of milk in a day. How many litres of milk can he sell in the month of June ?
Answer» A shopkeeper sells 128 litres of milk in a day. How many litres of milk can he sell in the month of June ?

Discussion

7789.	The difference between the second and the first term of a sequence defined by tn=n34n+1
Answer» The difference between the second and the first term of a sequence defined by $t_{n} = \frac{n^{3}}{4 n + 1}$

Discussion

7790.	Let A = {1, 2, 3, 4, 5, 6) and B = (2, 4, 6, 8, 10, 12). If f : A → B is given by f(x) = 2x, then f–1 as set of ordered pairs, is ___________.
Answer» Let A = {1, 2, 3, 4, 5, 6) and B = (2, 4, 6, 8, 10, 12). If f : A → B is given by f(x) = 2x, then f^–1 as set of ordered pairs, is ___________.

Discussion

7791.	In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer. i. Radhika answered all the questions, scored 30 marks and got 10 correct answers. ii. Jay also answered all the questions, scored (-12) marks though he got 4 correct answers. How many incorrect answers had they attempted?
Answer» In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer. i. Radhika answered all the questions, scored 30 marks and got 10 correct answers. ii. Jay also answered all the questions, scored (-12) marks though he got 4 correct answers. How many incorrect answers had they attempted?

Discussion

7792.	A dice is rolled twice. Find the probability that(i) 5 will not come up either time(ii) 5 will come up exactly one time [CBSE 2014]
Answer» A dice is rolled twice. Find the probability that (i) 5 will not come up either time (ii) 5 will come up exactly one time [CBSE 2014]

Discussion

7793.	In right triangled ABC right angled at B ,a line DE is drawn through the mid point D of AB and parallel to BC.If AB=9 cm, BC=12 cm. AE=?
Answer» In right triangled ABC right angled at B ,a line DE is drawn through the mid point D of AB and parallel to BC.If AB=9 cm, BC=12 cm. AE=?

Discussion

7794.	The area of a rectangle remains the same if the length is increased by 7 metres and the breadth is decreased by 3 metres. The area remains unaffected if the length is decreased by 7 metres and breadth is increased by 5 metres. Find the dimensions of the rectangle.
Answer» The area of a rectangle remains the same if the length is increased by 7 metres and the breadth is decreased by 3 metres. The area remains unaffected if the length is decreased by 7 metres and breadth is increased by 5 metres. Find the dimensions of the rectangle.

Discussion

7795.	If vertex C, of ∠PCQ=x lies on the circle. The arms of ∠PCQ intersect the circle at A and B. If m(arc AB)= 120∘, then find the value of x .
Answer» If vertex C, of $∠ P C Q = x$ lies on the circle. The arms of $∠ P C Q$ intersect the circle at A and B. If m(arc AB)= 120 $^{\circ}$ , then find the value of $x$ .

Discussion

7796.	A sold goods to B for ₹ 60,000 Charging IGST 18% and immediately drew a bill on B who duly accepted the same. A endorsed the bill to C. C endorsed it to his creditor D. D discounted the bill for ₹ 68,000. On the date of maturity, the bill was dishonoured and Bank paid noting charges amounting to ₹ 200.Show Journal entries in the books of all the parties to record these transactions.
Answer» A sold goods to B for ₹ 60,000 Charging IGST 18% and immediately drew a bill on B who duly accepted the same. A endorsed the bill to C. C endorsed it to his creditor D. D discounted the bill for ₹ 68,000. On the date of maturity, the bill was dishonoured and Bank paid noting charges amounting to ₹ 200. Show Journal entries in the books of all the parties to record these transactions.

Discussion

7797.	139.If the 4 vertices of a square taken in order are(0,0) ,(0,5),( x,y)and (5,0), then (x,y)is?
Answer» 139.If the 4 vertices of a square taken in order are(0,0) ,(0,5),( x,y)and (5,0), then (x,y)is?

Discussion

7798.	The probability of getting at least one tail in 4 throws of a coin is__.
Answer» The probability of getting at least one tail in 4 throws of a coin is__.

Discussion

7799.	Find the value of m, if the points (5,1) (-2,-3) and (8,2m) are collinear.
Answer» Find the value of m, if the points (5,1) (-2,-3) and (8,2m) are collinear.

Discussion

7800.	What is the length of the diagonal AG in the cuboid shown?
Answer» What is the length of the diagonal AG in the cuboid shown?

Discussion

Explore topic-wise InterviewSolutions in .

In a circket match, a batsman hits a boundary 6 times out of 30 balls he plays. Find the probability that he did not hit a boundary.

33 I roll a pair of dice and the sum of the digits on the pair of dice was more than 9. What is the probability that the digit on the first dice was an even number?

If Mohan has 6 girls, the percentage of probability of7th child to be girl is(a) 25%(c) 75%(b) 50%(d) 100%

The difference between the measure of an angle x and twice its reflex is 51°. What is the value of x?

The quadratic polynomial p(x) has the following properties: p(x) can be positive or zero for all real numbers, p(1)=0 and p(2)=2. Then find the quadratic polynomial

Show that the square of an odd positive integer is of the form 8q + 1, for some integer q?

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients23x2-5x+3

The 24th term of an AP is twice its 10th term. Show that its 72nd term is 4 times its 15th term. [CBSE 2013]

The average age of 3 families is 27. The number of members in each of the family is 3 and the average age of family 1 is 22, the average age of family 2 is 30. Find the average age of family 3.

Question 2 A(6,1) B(8,2) and C(9,4) are three vertices of a parallelogram ABCD. If E is the mid-point of DC, then find the area of Δ ADE.

The number of direct common tangents to two circles that do not touch or intersect is ____.

Question 11 Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.

How many natural numbers are there between 400 and 700 which are divisible by 9.

Question 30(i) All the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards are well shuffled and then one card is drawn at random. Giving ace a value 1 similar value for other cards, find the probability that the card has a value 7.

Which of the following banks deal in foreign exchange?

A card is drawn from a well-shuffled deck of playing cards. Find the probability of drawing a black card which is neither a face card nor an ace?

Find four rational number between 4 and 5. How many rational number lie between these two numbers.

There is a tent in a conical shape. The slant height of the tent is 14 m. If the curved surface area of the tent is 308 m2 , then what is the base area of the tent? (Take π=227)

Find the number of elements of × which satisfy the inequation −2≤(12)−(2x3)≤1(56), x ϵ N

Complete the AP: ___ , 3, ___ , -5.

A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors as shown in figure. Find.(i) The total length of the silver wire required.(ii) The area of each sector of the brooch

The digits of a positive integer whose three digits are in AP and their sum is 21. The number obtained by reversing the digits is 396 less than the original number. Find the number.

A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find it volume. If 1m3 wheat cost is ₹ 10 , then find total cost.

Meena went to a bank to withdraw Rs 2000. She asked the cashier to give her Rs 50 and Rs 100 notes only. Meena got 25 notes in all. Find how many notes Rs 50 and Rs 100 she received.

Question 1 (i)For which value (s) λ, do the pair of linear equations λx+y=λ2 and x+λy=1 have no solution.

A cyclist travels at the rate of 14.4 km/hr and the radius of the wheel is 35 cm. What is the measure of the angle in radian through which a spoke of the wheel will turn in one second?

The lateral surface area of a right circular cone of height 28 cm and base radius 21 cm is:

If Δ ABC is isosceles with AB = AC and C (O, r) is the incircle of the ΔABC touching BC at L,prove that L bisects BC.

Sort the following algebraic equations according to the increasing values of their unknowns.

PA and PB are two tangents drawn from an external point P to a circle with centre O. If ∠PBA = 65°, then ∠APB = _______.

A survey was conducted on 20 families in a locality by a group of students. What will be the mode of the data? Age of family member0−2020−4040−6060−8080−100Number of students78221

Prove that 3+2√5 is irrational.

Look at this series: 22, 21, 23, 22, 24, 23 ...What number should come next?

A shopkeeper sells 128 litres of milk in a day. How many litres of milk can he sell in the month of June ?

The difference between the second and the first term of a sequence defined by tn=n34n+1

Let A = {1, 2, 3, 4, 5, 6) and B = (2, 4, 6, 8, 10, 12). If f : A → B is given by f(x) = 2x, then f–1 as set of ordered pairs, is ___________.

A dice is rolled twice. Find the probability that(i) 5 will not come up either time(ii) 5 will come up exactly one time [CBSE 2014]

In right triangled ABC right angled at B ,a line DE is drawn through the mid point D of AB and parallel to BC.If AB=9 cm, BC=12 cm. AE=?

The area of a rectangle remains the same if the length is increased by 7 metres and the breadth is decreased by 3 metres. The area remains unaffected if the length is decreased by 7 metres and breadth is increased by 5 metres. Find the dimensions of the rectangle.

If vertex C, of ∠PCQ=x lies on the circle. The arms of ∠PCQ intersect the circle at A and B. If m(arc AB)= 120∘, then find the value of x .

139.If the 4 vertices of a square taken in order are(0,0) ,(0,5),( x,y)and (5,0), then (x,y)is?

The probability of getting at least one tail in 4 throws of a coin is__.

Find the value of m, if the points (5,1) (-2,-3) and (8,2m) are collinear.

What is the length of the diagonal AG in the cuboid shown?

Complete the AP: _ , 3, _ , -5.