InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 8751. |
Draw triangles with the measures given below.In ∆ NTS, m ∠T = 40°, l(NT) = l(TS) = 5 cm |
|
Answer» Draw triangles with the measures given below. In ∆ NTS, m ∠T = 40°, l(NT) = l(TS) = 5 cm
|
|
| 8752. |
If A and B invest some amount for the same time and after one year share their profit in the ratio of 3 : 4 respectively . If the total investment is Rs. 7000, find the investment of A? |
|
Answer» If A and B invest some amount for the same time and after one year share their profit in the ratio of 3 : 4 respectively . If the total investment is Rs. 7000, find the investment of A? |
|
| 8753. |
Choose the correct answer of the following question:From a point on the ground, 30 m away from the foot of a tower, the angle of elevation of the top of the tower is 30°. The height of thetower is(a) 30 m (b) 103 m (c) 10 m (d) 303 m [CBSE 2014] |
|
Answer» Choose the correct answer of the following question: From a point on the ground, 30 m away from the foot of a tower, the angle of elevation of the top of the tower is 30°. The height of the tower is (a) 30 m (b) m (c) 10 m (d) m [CBSE 2014] |
|
| 8754. |
A quadratic equation whose one root is 2 and the sum of whose roots is zero, is(a) x2 + 4 = 0(b) x2 − 4 = 0(c) 4x2 − 1 = 0(d) x2 − 2 = 0 |
|
Answer» A quadratic equation whose one root is 2 and the sum of whose roots is zero, is (a) x2 + 4 = 0 (b) x2 − 4 = 0 (c) 4x2 − 1 = 0 (d) x2 − 2 = 0 |
|
| 8755. |
The outer circumference of a circular race-track is 528 m. The track is everywhere 14 m wide. Calculate the cost of levelling the track at the rate of 50 paise per square metre (Use π = 22/7) |
| Answer» The outer circumference of a circular race-track is 528 m. The track is everywhere 14 m wide. Calculate the cost of levelling the track at the rate of 50 paise per square metre (Use π = 22/7) | |
| 8756. |
A rational number is its decimal expansion is 327.7081. What can you say about the prime factors of q, when this number is expressed in the form pq ? Give reasons. |
|
Answer» A rational number is its decimal expansion is 327.7081. What can you say about the prime factors of q, when this number is expressed in the form pq ? Give reasons. |
|
| 8757. |
Ranna buys Rs 100 shares of a company at Rs 90 and sells them when the price becomes Rs 30 below par. Find his loss if he invested Rs 4,050. |
| Answer» Ranna buys Rs 100 shares of a company at Rs 90 and sells them when the price becomes Rs 30 below par. Find his loss if he invested Rs 4,050. | |
| 8758. |
The length and breadth of a rectangular piece of paper are 28 cm and 14 cm respectively. A semi-circular portion is cut off from the breadth's side and a semicircular portion is added on length's side, as shown in Fig. 6. Find the area of the shaded region. [Use π=227] |
|
Answer» The length and breadth of a rectangular piece of paper are 28 cm and 14 cm respectively. A semi-circular portion is cut off from the breadth's side and a semicircular portion is added on length's side, as shown in Fig. 6. Find the area of the shaded region. |
|
| 8759. |
Calculate the median from the following frequency distribution: Class5−1010−1515−2020−2525−3030−3535−4040−45Frequency5615105422 |
|
Answer» Calculate the median from the following frequency distribution: |
|
| 8760. |
Use Euclid's division algorithm to find the HCF of 10224 and 9648. |
| Answer» Use Euclid's division algorithm to find the HCF of 10224 and 9648. | |
| 8761. |
A ball starts to move along straight line at a speed of 40 metres/second and the speed decreases at the rate of 4 metres/second every second. Then the algebra for the distance from the starting point to the ball after 't' seconds is |
|
Answer» A ball starts to move along straight line at a speed of 40 metres/second and the speed decreases at the rate of 4 metres/second every second. Then the algebra for the distance from the starting point to the ball after 't' seconds is |
|
| 8762. |
A sector of a circle of radius 8 cm contains an angle of 135°. Find the area of the sector. |
| Answer» A sector of a circle of radius 8 cm contains an angle of 135°. Find the area of the sector. | |
| 8763. |
What is the probability of not getting a prime number when a die is rolled? |
|
Answer» What is the probability of not getting a prime number when a die is rolled? |
|
| 8764. |
Which of the following is a binomial? |
|
Answer» Which of the following is a binomial? |
|
| 8765. |
The Runs scored by M.S Dhoni in 8 innings are given as : 52 , 58 , 64 , 72 , 24 , 8 , x and 112. If the Average of the 8 innings is 62 , what was his score in the 7th innings. |
|
Answer» The Runs scored by M.S Dhoni in 8 innings are given as : 52 , 58 , 64 , 72 , 24 , 8 , x and 112. If the Average of the 8 innings is 62 , what was his score in the 7th innings. |
|
| 8766. |
The points A(2, 9), B(a, 5) and C(5, 5) are the vertices of a triangle ABC right angled at B. Find the values of a and hence the area of ΔABC. |
| Answer» The points A(2, 9), B(a, 5) and C(5, 5) are the vertices of a triangle ABC right angled at B. Find the values of a and hence the area of ΔABC. | |
| 8767. |
How do Pythagoras theorem help us |
|
Answer» How do Pythagoras theorem help us |
|
| 8768. |
A number X is selected at random from the number 1 ,2,3,4. Another number Y selected at random from numbers 1,4,9, 16. Find the probability that the product of X and Y is 16. |
|
Answer» A number X is selected at random from the number 1 ,2,3,4. Another number Y selected at random from numbers 1,4,9, 16. Find the probability that the product of X and Y is 16. |
|
| 8769. |
if x and y be two non zero vectors such that |x+y|=|x-2y| then prove that least value of (x.y)+(1/(|y|^2+2)) is (√2)-1 |
| Answer» if x and y be two non zero vectors such that |x+y|=|x-2y| then prove that least value of (x.y)+(1/(|y|^2+2)) is (√2)-1 | |
| 8770. |
An observer 2.25 m tall is 42.75 m away from a chimney. The angle of elevation of the top of the chimney from her eyes is 45∘. What is the height of the chimney? |
|
Answer» An observer 2.25 m tall is 42.75 m away from a chimney. The angle of elevation of the top of the chimney from her eyes is 45∘. What is the height of the chimney? |
|
| 8771. |
IIf a, b and c be the distances travelled by the body during x^th ,y^th , and z^th second from start, then which of the following relations is true ?(1) a(y-z) + b(z-x) + c(x-y) = 0(2) a(z-x) + b(x-y) + c(y-z) = 0(3) a(x-y) + b(y-z) + c(z-x) = 0(4) ax + by + cz = 0 |
|
Answer» IIf a, b and c be the distances travelled by the body during x^th ,y^th , and z^th second from start, then which of the following relations is true ? (1) a(y-z) + b(z-x) + c(x-y) = 0 (2) a(z-x) + b(x-y) + c(y-z) = 0 (3) a(x-y) + b(y-z) + c(z-x) = 0 (4) ax + by + cz = 0 |
|
| 8772. |
If radii of two circles are 4 cm and 2.8 cm. Draw figure of these circles touching each other – (i) externally (ii) internally. |
| Answer» If radii of two circles are 4 cm and 2.8 cm. Draw figure of these circles touching each other – (i) externally (ii) internally. | |
| 8773. |
What is the total amount paid by a customer who buys an article worth ₹250 from a local shop and the GST charged on it is 18%?295 |
Answer» What is the total amount paid by a customer who buys an article worth ₹250 from a local shop and the GST charged on it is 18%?
|
|
| 8774. |
Using factor theorem, show that g(x) is a factor of p(x), whenp(x) = 2x4 + x3 – 8x2 – x + 6, g(x) = 2x – 3 |
|
Answer» Using factor theorem, show that g(x) is a factor of p(x), when p(x) = 2x4 + x3 – 8x2 – x + 6, g(x) = 2x – 3 |
|
| 8775. |
The roots of quadratic equation ax2 + bx + c = 0 is given by |
|
Answer» The roots of quadratic equation ax2 + bx + c = 0 is given by |
|
| 8776. |
58. Find the equation of locus of a moving point so that its dustance from X axis is half of its distance from origin. |
| Answer» 58. Find the equation of locus of a moving point so that its dustance from X axis is half of its distance from origin. | |
| 8777. |
The diameter of the circular garden is 42 m. There is a 3.5 m wide road around the garden. Find the area of the road. |
Answer» The diameter of the circular garden is 42 m. There is a 3.5 m wide road around the garden. Find the area of the road.![]() |
|
| 8778. |
THE VALUE OF A AND B IS A+ A+ A = BA a)5 & 1 b)4 & |
| Answer» THE VALUE OF A AND B IS A+ A+ A = BA a)5 & 1 b)4 & | |
| 8779. |
Line segment joining the mid-points M and N of parallel sides AB and DC, respectively of a trapezium ABCD is perpendicular to both the sides AB and DC. Prove that AD = BC. |
| Answer» Line segment joining the mid-points M and N of parallel sides AB and DC, respectively of a trapezium ABCD is perpendicular to both the sides AB and DC. Prove that AD = BC. | |
| 8780. |
A bag contains 4 red, 5 black and 6 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is :(a) white(b) red(c) not black(d) red or white |
|
Answer» A bag contains 4 red, 5 black and 6 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is : (a) white (b) red (c) not black (d) red or white |
|
| 8781. |
As observed from the top of a 75 m tall light house, the angle of depression of two ships are 30° and 45°. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships. |
| Answer» As observed from the top of a 75 m tall light house, the angle of depression of two ships are 30° and 45°. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships. | |
| 8782. |
A lot consists of 144 ballpoint pens of which 20 are defective and others good. Tanvy will buy a pen if it is good, but will not buy it if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that (i) she will buy it, (ii) she will not buy it? |
|
Answer» A lot consists of 144 ballpoint pens of which 20 are defective and others good. Tanvy will buy a pen if it is good, but will not buy it if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that (i) she will buy it, (ii) she will not buy it? |
|
| 8783. |
This is a Yin-Yang symbol. What would be the area covered by the Yin (black) region if the radius of the larger circle is, R = 8 cm?77 |
Answer» This is a Yin-Yang symbol. What would be the area covered by the Yin (black) region if the radius of the larger circle is, R = 8 cm?![]()
|
|
| 8784. |
A balloon of radius r subtends an angle 30º at the eye of an observer, while the angle of elevation of its centre is 60º. The height of the centre of the balloon is |
|
Answer» A balloon of radius r subtends an angle 30º at the eye of an observer, while the angle of elevation of its centre is 60º. The height of the centre of the balloon is |
|
| 8785. |
In Fig. 5.47, the value of cos ϕ is(a) 54(b) 53(c) 35(d) 45 |
Answer» In Fig. 5.47, the value of cos ϕ is![]() (a) (b) (c) (d) |
|
| 8786. |
In a triangle ABC, if AB=2x-1, AC=2√2x and BC=2x+1. Find the angle ∠BAC. |
|
Answer» In a triangle ABC, if AB=2x-1, AC=2√2x and BC=2x+1. Find the angle ∠BAC. |
|
| 8787. |
The line joining P (–4, 4) & Q (3, 1), intersects the y – axis at R. PM & QN are the perpendiculars from P & Q to the – axis. Find |
|
Answer» The line joining P (–4, 4) & Q (3, 1), intersects the y – axis at R. PM & QN are the perpendiculars from P & Q to the – axis. Find |
|
| 8788. |
A boy is flying a kite from ground with 75m of string at an elevation of 45∘. Another boy is standing on the roof of a 25 m high building and is flying his kite at an elevation of 30∘. Both the boys are on opposite sides of the two kites. Find the minimum length of the string that the second boy must have so that the two kites meet. |
|
Answer» A boy is flying a kite from ground with 75m of string at an elevation of 45∘. Another boy is standing on the roof of a 25 m high building and is flying his kite at an elevation of 30∘. Both the boys are on opposite sides of the two kites. Find the minimum length of the string that the second boy must have so that the two kites meet. |
|
| 8789. |
If a line intersects sides AB and AC of a △ABC at D and E respectively and is parallel to BC, then ADAB=AEx. Then x is ___ |
|
Answer» If a line intersects sides AB and AC of a △ABC at D and E respectively and is parallel to BC, then ADAB=AEx. Then x is |
|
| 8790. |
Visualizing Euclid’s division algorithm, find the values of a,b and c. |
|
Answer» Visualizing Euclid’s division algorithm, find the values of a,b and c. |
|
| 8791. |
The age of the father is twice the sum of the ages of his two children . After 20 years , his age will be eual to the sum of the ages of his children . Find the age of the father. |
| Answer» The age of the father is twice the sum of the ages of his two children . After 20 years , his age will be eual to the sum of the ages of his children . Find the age of the father. | |
| 8792. |
D is any point on side AC of a ∆ABC with AB = AC. Show that CD < BD. |
| Answer» D is any point on side AC of a ∆ABC with AB = AC. Show that CD < BD. | |
| 8793. |
Harry tosses two coins simultaneously. The probability of getting at least one head is |
|
Answer» Harry tosses two coins simultaneously. The probability of getting at least one head is |
|
| 8794. |
In the given figure, △ABC ~ △BDC. Identify the equal angles in the triangles. 1. ∠DBC=□A: ∠BCA2. ∠BDC=□B: ∠BAC3. ∠DCB=□C: ∠ABC |
|
Answer» In the given figure, △ABC ~ △BDC. Identify the equal angles in the triangles. 1. ∠DBC=□A: ∠BCA2. ∠BDC=□B: ∠BAC3. ∠DCB=□C: ∠ABC |
|
| 8795. |
There are 2.54 centimeters in one inch. How many inches are there in 51.78 centimeters? Round your answer to the nearest thousandth. |
|
Answer» There are 2.54 centimeters in one inch. How many inches are there in 51.78 centimeters? Round your answer to the nearest thousandth. |
|
| 8796. |
∑ni=16i2=an3+bn2+cn+d. Then |
|
Answer» ∑ni=16i2=an3+bn2+cn+d. Then |
|
| 8797. |
Question 103Three cubes each of side 10 cm are joined end to end. Find the surface area of the resultant figure. |
|
Answer» Question 103 Three cubes each of side 10 cm are joined end to end. Find the surface area of the resultant figure. |
|
| 8798. |
In the given figure, a square OABC is inscribed in a quadrant OPBQ of a circle. If OA = 20 cm, find the area of the shaded region. [Use π = 3.14.] [CBSE 2014] |
Answer» In the given figure, a square OABC is inscribed in a quadrant OPBQ of a circle. If OA = 20 cm, find the area of the shaded region. [Use π = 3.14.] [CBSE 2014]
|
|
| 8799. |
Find the sum and product of the zeros of 2(x2-x)+1 |
| Answer» Find the sum and product of the zeros of 2(x2-x)+1 | |
| 8800. |
Find the length of each side of a rectangle whose adjacent sides are 30 cm and 16 cm. |
|
Answer» Find the length of each side of a rectangle whose adjacent sides are 30 cm and 16 cm. |
|