This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
In the given figure, two chords AB and CD of a circle intersect each other at the point P (when produced) outside the circle. Prove that(i) ΔPAC ∼ ΔPDB(ii) PA.PB = PC.PD |
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Answer» In the given figure, two chords AB and CD of a circle intersect each other at the point P (when produced) outside the circle. Prove that (i) ΔPAC ∼ ΔPDB (ii) PA.PB = PC.PD
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| 2. |
If 8tan = 15 then find SinA - Cos A/ sin A. Cos A |
| Answer» If 8tan = 15 then find SinA - Cos A/ sin A. Cos A | |
| 3. |
Name the accounts to be credited along with the amount for payment to Ajay of ₹ 4,800 by cheque in full settlement of ₹ 5,000. |
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Answer» Name the accounts to be credited along with the amount for payment to Ajay of ₹ 4,800 by cheque in full settlement of ₹ 5,000. |
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| 4. |
A uniform rod of density ρ is placed in a wide †an k containg a liquid of density ρ_o (ρ_o>ρ) .The depth of liquid in the †an k is half the lenght of the rod .The rod is in eqilibrium eith its lower end resting on the bottom of the †an k .In this position the tod makes an angle θ with the horizontal . a)Sinθ=1/2 (ρ_o/ρ)^{1/2} b)Sin θ=1/2 ρ_o/ρ c)Sin θ=ρ_o/ρ d) none of th |
| Answer» A uniform rod of density ρ is placed in a wide †an k containg a liquid of density ρ_o (ρ_o>ρ) .The depth of liquid in the †an k is half the lenght of the rod .The rod is in eqilibrium eith its lower end resting on the bottom of the †an k .In this position the tod makes an angle θ with the horizontal . a)Sinθ=1/2 (ρ_o/ρ)^{1/2} b)Sin θ=1/2 ρ_o/ρ c)Sin θ=ρ_o/ρ d) none of th | |
| 5. |
The shadow of a tower standing on a level ground is found to be 60 m longer when the Sun’s altitude is 30∘ than when it is 60∘. Find the height of the tower. |
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Answer» The shadow of a tower standing on a level ground is found to be 60 m longer when the Sun’s altitude is 30∘ than when it is 60∘. Find the height of the tower. |
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| 6. |
A statue stands on the top of a pedestal 4m. From a point on the ground, the angle of elevation of the top of the statue is 60∘ and from the same point, the angle of elevation of the top of the pedestal is 45∘. Find the height of the statue. |
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Answer» A statue stands on the top of a pedestal 4m. From a point on the ground, the angle of elevation of the top of the statue is 60∘ and from the same point, the angle of elevation of the top of the pedestal is 45∘. Find the height of the statue. |
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| 7. |
If limx→0 kx cosec x=limx→0 x cosec kx, find k. |
| Answer» If find k. | |
| 8. |
When the above is folded into a cube, which is the only cube that can be produced amongst the following? |
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Answer» When the above is folded into a cube, which is the only cube that can be produced amongst the following?
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| 9. |
find the zero of the quadratic polynomial f(x)=x^2/a+b/ac*-x/b-1/c |
| Answer» find the zero of the quadratic polynomial f(x)=x^2/a+b/ac*-x/b-1/c | |
| 10. |
In a right triangle ABC in which ∠B= 900 , a circle is drawn with AB as diameter intersecting the hypotenuse AC at P . Prove that the tangent to the circle at P bisects BC. |
| Answer» In a right triangle ABC in which B= 900 , a circle is drawn with AB as diameter intersecting the hypotenuse AC at P . Prove that the tangent to the circle at P bisects BC. | |
| 11. |
Question 8The quadratic equation 2x2−√5x+1=0 has(A) two distinct real roots(B) two equal real roots(C) no real roots(D) more than 2 real roots |
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Answer» Question 8 |
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| 12. |
In Q. No. 15, write the sign of c. |
| Answer» In Q. No. 15, write the sign of c. | |
| 13. |
hello, can you explain what is a linear equation in detail thanks, ROHAN |
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Answer» hello, can you explain what is a linear equation in detail thanks, ROHAN |
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| 14. |
What is the probability that you land on the land occupied by Indians or Europeans or Egyptians, if Indians , Egyptians , Europeans and Australians resided in a village of area 100km2 which is equally divided among the four civilizations? |
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Answer» What is the probability that you land on the land occupied by Indians or Europeans or Egyptians, if Indians , Egyptians , Europeans and Australians resided in a village of area 100km2 which is equally divided among the four civilizations? |
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| 15. |
A circle with centre O has a radius of 3.5 cm. Where does a point P lie with respect to the circle if its distance from the centre O is 5 cm? |
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Answer» A circle with centre O has a radius of 3.5 cm. Where does a point P lie with respect to the circle if its distance from the centre O is 5 cm? |
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| 16. |
In Triangle ABC , D is the mid-point of side BC. Find the length of side AB. |
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Answer» In Triangle ABC , D is the mid-point of side BC. Find the length of side AB.
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| 17. |
Which of the given less than cumulative frequency curve (ogive) correctly represents the following distribution?Height110−120120−130130−140140−150150−160Number of students 7 9 12 10 4 |
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Answer» Which of the given less than cumulative frequency curve (ogive) correctly represents the following distribution? Height110−120120−130130−140140−150150−160Number of students 7 9 12 10 4 |
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| 18. |
Which of the following combinations of three different physical quantities P, Q , R can never be a meaningful quantity?(a)PQ-R (b)PQ/R (c)(P-Q)/R(d)(PR-Q^2)/QR |
| Answer» Which of the following combinations of three different physical quantities P, Q , R can never be a meaningful quantity?(a)PQ-R (b)PQ/R (c)(P-Q)/R(d)(PR-Q^2)/QR | |
| 19. |
Which term of the AP 72, 63, 54 .......... will equal to 0? |
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Answer» Which term of the AP 72, 63, 54 .......... will equal to 0? |
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| 20. |
If a,b,c are in A.P. and a, c-b, b-a are in G.P. (a ≠ b ≠ c), then a:b:c is: |
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Answer» If a,b,c are in A.P. and a, c-b, b-a are in G.P. (a ≠ b ≠ c), then a:b:c is: |
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| 21. |
Express the trigonometric ratios sinA secA and tanA in terms of cot A |
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Answer» Express the trigonometric ratios sinA secA and tanA in terms of cot A |
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| 22. |
Why Euclids division lemma is needed to prove another statement? |
| Answer» Why Euclids division lemma is needed to prove another statement? | |
| 23. |
In a survey of 400 youngsters aged 16−20 years. It was found that 191 have their voter ID card. If a youngster is selected at random, then the probability that the youngster does not have a voter ID card is |
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Answer» In a survey of 400 youngsters aged 16−20 years. It was found that 191 have their voter ID card. If a youngster is selected at random, then the probability that the youngster does not have a voter ID card is |
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| 24. |
If 1 is a root of the quadratic equation 3x2+ax-2=0 and the quadratic equation a(x2+6x)-b=0 has equal roots, find the value of b. |
| Answer» If 1 is a root of the quadratic equation and the quadratic equation has equal roots, find the value of b. | |
| 25. |
ABCD is a quadrilateral such that ∠ABC+∠ADC =180∘. Inside the quadrilateral : Statement 1: the circumcircle of ΔABC intersects diagonal BD at D. Statement 2: the circumcircle of ΔABC intersects BD at D′inside the quadrilateral. Statement 3: the circumcircle of ΔABC intersects BD at D′ outside the quadrilateral. Statement 4: the circumcircle of ΔABC does not intersect BD at all. Statement 5: ABCD is called cyclic quadrilateral. |
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Answer» ABCD is a quadrilateral such that ∠ABC+∠ADC =180∘. Inside the quadrilateral : Statement 1: the circumcircle of ΔABC intersects diagonal BD at D. Statement 2: the circumcircle of ΔABC intersects BD at D′inside the quadrilateral. Statement 3: the circumcircle of ΔABC intersects BD at D′ outside the quadrilateral. Statement 4: the circumcircle of ΔABC does not intersect BD at all. Statement 5: ABCD is called cyclic quadrilateral. |
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| 26. |
i) The sum of the two digit number is 9. Also, 9 times this number is twice the number obtained by reversing the order of the digits. Find the number. ii) for which values of 'a' and 'b' does the following pair of linear equations have an infinity number of solutions? (a-b)x+(a+b)y=3a+b-2 2x+3y=7 |
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Answer» i) The sum of the two digit number is 9. Also, 9 times this number is twice the number obtained by reversing the order of the digits. Find the number. ii) for which values of 'a' and 'b' does the following pair of linear equations have an infinity number of solutions? (a-b)x+(a+b)y=3a+b-2 2x+3y=7 |
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| 27. |
If (x + a) is a factor of 2x2 + 2ax + 5x + 10, find a. |
| Answer» If (x + a) is a factor of 2x2 + 2ax + 5x + 10, find a. | |
| 28. |
∆ABC ∼ ∆DEF, ar(∆ABC) = 9 cm2, ar(∆DEF) = 16 cm2. If BC = 2.1 cm, then the measure of EF is(a) 2.8 cm(b) 4.2 cm(c) 2.5 cm(d) 4.1 cm |
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Answer» ∆ABC ∼ ∆DEF, ar(∆ABC) = 9 cm2, ar(∆DEF) = 16 cm2. If BC = 2.1 cm, then the measure of EF is (a) 2.8 cm (b) 4.2 cm (c) 2.5 cm (d) 4.1 cm |
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| 29. |
The length, breadth and height of a room are 1050 cm, 750 cm and 425 cm respectively. Find the length of the longest tape which can measure the three dimensions of the room exactly |
| Answer» The length, breadth and height of a room are 1050 cm, 750 cm and 425 cm respectively. Find the length of the longest tape which can measure the three dimensions of the room exactly | |
| 30. |
Let A=⎡⎢⎣−3021x5−20x2⎤⎥⎦,B=⎡⎢⎣2b−1⎤⎥⎦ and C=[351]. If tr denotes the trace of a matrix, then the number of integral values of b for which tr(ABC)≤−18 for all x∈R, is |
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Answer» Let A=⎡⎢⎣−3021x5−20x2⎤⎥⎦,B=⎡⎢⎣2b−1⎤⎥⎦ and C=[351]. If tr denotes the trace of a matrix, then the number of integral values of b for which tr(ABC)≤−18 for all x∈R, is |
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| 31. |
P and Q are points on sides AB and AC respectively of TriangleABC. If AP=3cm PB=6cm,AQ=5cm and QC=10cm.s.t BC=3PQ. |
| Answer» P and Q are points on sides AB and AC respectively of TriangleABC. If AP=3cm PB=6cm,AQ=5cm and QC=10cm.s.t BC=3PQ. | |
| 32. |
Sides of two similar triangles are in the ratio of 1:1. Areas of these triangles are in the ratio___. |
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Answer» Sides of two similar triangles are in the ratio of 1:1. Areas of these triangles are in the ratio |
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| 33. |
Find the coordinates of the point where the diagonals of the parallelogram formed by joining the points (−2, −1), (1, 0), (4, 3) and(1, 2) meet. |
| Answer» Find the coordinates of the point where the diagonals of the parallelogram formed by joining the points (−2, −1), (1, 0), (4, 3) and(1, 2) meet. | |
| 34. |
If 3 is a root of the quadratic equation x2-x+k=0, find the value of p so that the roots of the equation x2+k2x+k+2+p=0 are equal. [CBSE 2015] |
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Answer» If 3 is a root of the quadratic equation , find the value of p so that the roots of the equation are equal. [CBSE 2015] |
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| 35. |
Find the quadratic polynomial whose zeroes are 6+√33 and 6−√33 . |
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Answer» Find the quadratic polynomial whose zeroes are 6+√33 and 6−√33 . |
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| 36. |
One of the solutions of the pair of equations ax−by=0 and ab2x+a2by=a2+b2 is: |
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Answer» One of the solutions of the pair of equations ax−by=0 and ab2x+a2by=a2+b2 is: |
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| 37. |
1+tan2 A1+cot2 Ais equal to(a) sec2 A(b) −1(c) cot2 A(d) tan2 A |
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Answer» is equal to (a) sec2 A (b) −1 (c) cot2 A (d) tan2 A |
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| 38. |
A company with 4000 shars of nominal value of ₹ 110 each declares an annual dividend of 15 %, Calculate the total amount of divident paid by the company |
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Answer» A company with 4000 shars of nominal value of ₹ 110 each declares an annual dividend of 15 %, Calculate the total amount of divident paid by the company |
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| 39. |
In an AP if a3 = 8 and the ninth term exceeds 3 times third term by 2 then find the sum to 19 terms. |
| Answer» In an AP if a3 = 8 and the ninth term exceeds 3 times third term by 2 then find the sum to 19 terms. | |
| 40. |
The sum up to n terms of an AP in which the first term is a, last term is l, and the common difference is d, is |
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Answer» The sum up to n terms of an AP in which the first term is a, last term is l, and the common difference is d, is |
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| 41. |
31. Use euclid's algorithm to find the HCF of 1651 and 2030 to express the HCF in the form of 1651 M + 2032 m |
| Answer» 31. Use euclid's algorithm to find the HCF of 1651 and 2030 to express the HCF in the form of 1651 M + 2032 m | |
| 42. |
Quadratic equation is a polynomial of degree ____________ |
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Answer» Quadratic equation is a polynomial of degree ____________ |
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| 43. |
A six face dice is marked with the numbers 1, 2, 3, 4, 5 and 6. What is the probability of getting a number which is not even? |
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Answer» A six face dice is marked with the numbers 1, 2, 3, 4, 5 and 6. What is the probability of getting a number which is not even? |
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| 44. |
If 12x+23y=10,32x−53y=−3, then the value of 1y−1x is |
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Answer» If 12x+23y=10,32x−53y=−3, then the value of 1y−1x is |
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| 45. |
Distribution of molecules with velocity is represented by the curve as shown.The velocity at point A is: |
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Answer» Distribution of molecules with velocity is represented by the curve as shown.The velocity at point A is: |
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| 46. |
The sum of a number and its reciprocal is 17/4. Find the number. |
| Answer» The sum of a number and its reciprocal is 17/4. Find the number. | |
| 47. |
The value of a car depreciates 15% every year . If the present value of the car is ₹ 361250 after two years what was the original price of the car Pls solve it but without using depreciation formula use percent |
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Answer» The value of a car depreciates 15% every year . If the present value of the car is ₹ 361250 after two years what was the original price of the car Pls solve it but without using depreciation formula use percent |
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| 48. |
Question 1 A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π. |
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Answer» Question 1 A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π. |
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| 49. |
Match the volume of the cone of radius 'r' cm, height 'h' cm and slant height 'l' cm in each case . |
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Answer» Match the volume of the cone of radius 'r' cm, height 'h' cm and slant height 'l' cm in each case . |
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| 50. |
The probability of getting an ace from a well-shuffled deck of 52 cards is ____. |
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Answer» The probability of getting an ace from a well-shuffled deck of 52 cards is ____. |
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