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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.
| 8451. |
Among the following, the terminating rational number is . |
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Answer» Among the following, the terminating rational number is |
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| 8452. |
The rate of increase in population is 25%. What will be the population after 2 years if the initial population is 20000? ___ |
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Answer» The rate of increase in population is 25%. What will be the population after 2 years if the initial population is 20000? |
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| 8453. |
From the following particulars of Evergreen club, prepare Receipts and payments Account for the year ended 31st March,2018: ₹ ₹ Cash in Hand on 1st April,2017 Cash at Bank on 1st April,2017 Subscriptions Received Donations Received Investments purchased Rent paid General Expenses Postage and stationery 50,000 3,40,000 15,70,000 2,80,000 5,00,000 50,000 2,30,000 25,000 Newspaper and Magazines Sale of Old Newspaper Books purchased Sports Materials Purchased Interest on Investments Received Honorarium to coaches Cash in Hand on 31st March,2018 Cash at Bank on 31 st March ,2018 87,000 12,000 3,40,000 4,70,000 50,000 1,50,000 30,000 ? |
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Answer» From the following particulars of Evergreen club, prepare Receipts and payments Account for the year ended 31st March,2018:
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| 8454. |
Given : In trapezium PQRS, side PQ || side SR, AR = 5AP, AS = 5AQ then prove that, SR = 5PQ |
Answer» Given : In trapezium PQRS, side PQ || side SR, AR = 5AP, AS = 5AQ then prove that, SR = 5PQ
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| 8455. |
A and B are partners sharing profits in the ratio of 3 : 2 with capitals of ₹ 50,000 and ₹ 30,000 respectively. Interest on capital is agreed 6% p.a. B is to be allowed an annual salary of ₹ 2,500. During the year profit prior to interest on capital but after charging B's salary amounted to ₹ 12,500. A provision of 5% of the profits is to be made in respect of Manager's Commission. |
| Answer» A and B are partners sharing profits in the ratio of 3 : 2 with capitals of ₹ 50,000 and ₹ 30,000 respectively. Interest on capital is agreed 6% p.a. B is to be allowed an annual salary of ₹ 2,500. During the year profit prior to interest on capital but after charging B's salary amounted to ₹ 12,500. A provision of 5% of the profits is to be made in respect of Manager's Commission. | |
| 8456. |
Radius of largest circle with center (0, 1) which can be inscribed in the ellipse 4x^2+ y^24 is |
| Answer» Radius of largest circle with center (0, 1) which can be inscribed in the ellipse 4x^2+ y^24 is | |
| 8457. |
Question 9In the figure, it is given that BDEF and FDCE are parallelogram. Can you say that BD = CD? Why or why not? |
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Answer» Question 9 |
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| 8458. |
If a = 3+2√2, find the value of a2+1a2. |
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Answer» If a = 3+2√2, find the value of a2+1a2. |
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| 8459. |
If the side BC of ΔABC is produced on both sides, then write the difference between the sum of the exterior angles so formed and ∠A. |
| Answer» If the side BC of ΔABC is produced on both sides, then write the difference between the sum of the exterior angles so formed and ∠A. | |
| 8460. |
Find the value of 4x2 + y2 + 25x2 + 4xy − 10yz − 20zx when x= 4, y = 3 and z = 2. |
| Answer» Find the value of 4x2 + y2 + 25x2 + 4xy − 10yz − 20zx when x= 4, y = 3 and z = 2. | |
| 8461. |
Factorise:2x4 – 32 |
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Answer» Factorise: 2x4 – 32 |
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| 8462. |
Question 14AB and CD are respectively arcs of two concentric circles of radii 21 cm and 7 cm and centre O (see Fig. 12.32). If ∠AOB=30∘, find the area of the shaded region. |
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Answer» Question 14
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| 8463. |
In ∆ABC, AB=10cm & BC=15cm. A line is drawn from the vertex B to AC such that AD:DC=2:3. Angle(BDC)=130° & Angle(BCA)=30°. Then, Angle(ABC) is equal to-(A) 30°(B) 40°(C) 45°(D) 110° |
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Answer» In ∆ABC, AB=10cm & BC=15cm. A line is drawn from the vertex B to AC such that AD:DC=2:3. Angle(BDC)=130° & Angle(BCA)=30°. Then, Angle(ABC) is equal to- (A) 30° (B) 40° (C) 45° (D) 110° |
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| 8464. |
Give a rational approximation to √3 correct upto two decimal places. |
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Answer» Give a rational approximation to √3 correct upto two decimal places. |
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| 8465. |
x-axis is the intersection of two planes(a) xy and xz(b) yz and zx(c) xy and yz(d) none of these |
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Answer» x-axis is the intersection of two planes (a) xy and xz (b) yz and zx (c) xy and yz (d) none of these |
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| 8466. |
Question 1Draw the graph of each of the following linear equations in two variables: (i) x+y=4 (ii) x−y=2 (iii) y=3x (iv) 3=2x+y |
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Answer» Question 1 Draw the graph of each of the following linear equations in two variables: (i) x+y=4 (ii) x−y=2 (iii) y=3x (iv) 3=2x+y |
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| 8467. |
Construct a ∆ABC in which AB = 5.8 cm, ∠B = 60° and BC + CA = 8.4 cm. Justify your construction. |
| Answer» Construct a ∆ABC in which AB = 5.8 cm, ∠B = 60° and BC + CA = 8.4 cm. Justify your construction. | |
| 8468. |
Find a cubic polynomial with the sum, sum of the product of its zeroes taken two at a time, and the product of its zeroes as 2,−7,−14 respectively. |
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Answer» Find a cubic polynomial with the sum, sum of the product of its zeroes taken two at a time, and the product of its zeroes as 2,−7,−14 respectively. |
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| 8469. |
In the figure below, two vertices of a parallelogram are joined to the mid points of two sides. Show that the lines divide the diagonal given into 3 equal parts. |
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Answer» In the figure below, two vertices of a parallelogram are joined to the mid points of two sides.
Show that the lines divide the diagonal given into 3 equal parts. |
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| 8470. |
Match the following figures with their areas. |
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Answer» Match the following figures with their areas. |
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| 8471. |
10. A straight line segment AB of length a moves with its ends on the axes. The locus of the point p which divides the segment in the ratio 1:2 is |
| Answer» 10. A straight line segment AB of length a moves with its ends on the axes. The locus of the point p which divides the segment in the ratio 1:2 is | |
| 8472. |
In each of the following, use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x) or, not: (1−7)f(x) = x3 − 6x2 + 11x − 6; g(x) = x − 3 |
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Answer» In each of the following, use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x) or, not: (1−7) f(x) = x3 − 6x2 + 11x − 6; g(x) = x − 3 |
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| 8473. |
A 1.2 m tall girl spots a balloon moving with the wind in a horizontal line at a height of 88.2 metres from the ground. The angle of elevation of the balloon from the eyes of the girl at any instant is 60∘. After some time, the angle of elevation reduces to 30∘. Find the distance travelled by the balloon during the interval. [4 MARKS] |
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Answer» A 1.2 m tall girl spots a balloon moving with the wind in a horizontal line at a height of 88.2 metres from the ground. The angle of elevation of the balloon from the eyes of the girl at any instant is 60∘. After some time, the angle of elevation reduces to 30∘. Find the distance travelled by the balloon during the interval. [4 MARKS] |
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| 8474. |
If the area of the curved surface and the circumference of the base of a right circular cylinder are 4400 cm2 and 110 cm respectively, then the volume of the cylinder is _________. |
| Answer» If the area of the curved surface and the circumference of the base of a right circular cylinder are 4400 cm2 and 110 cm respectively, then the volume of the cylinder is _________. | |
| 8475. |
△ABC is isosceles with AB = AC. Line segment AD bisects ∠A and meets the base BC in D.(i) Is △ADB≅△ADC?(ii) State the three pairs of matching parts used to answer (i).(iii) Is it true to say that BD = DC? |
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Answer» △ABC is isosceles with AB = AC. Line segment AD bisects ∠A and meets the base BC in D. (i) Is △ADB≅△ADC? (ii) State the three pairs of matching parts used to answer (i). (iii) Is it true to say that BD = DC? |
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| 8476. |
Prove that the sum of all the angles of a quadrilateral is 360∘. |
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Answer» Prove that the sum of all the angles of a quadrilateral is 360∘. |
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| 8477. |
In Fig. 8, ABCD is a trapezium in which AB || DC. BD is a diagonal and E is the mid-point of AD. A line is drawn through E, parallel to AB, intersecting BC at F. Show that F is the mid-point of BC. |
Answer» In Fig. 8, ABCD is a trapezium in which AB || DC. BD is a diagonal and E is the mid-point of AD. A line is drawn through E, parallel to AB, intersecting BC at F. Show that F is the mid-point of BC.
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| 8478. |
In Fig. 64, if AB || CD, the values of x and y are(a) x = 21, y = 28(b) x = 21, y = 38(c) x = 38, y = 21(d) x = 22, y = 38 |
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Answer» In Fig. 64, if AB || CD, the values of x and y are (a) x = 21, y = 28 (b) x = 21, y = 38 (c) x = 38, y = 21 (d) x = 22, y = 38 
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| 8479. |
The value of θ in √3tan2θ - 3 = 0 is |
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Answer» The value of θ in √3tan2θ - 3 = 0 is |
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| 8480. |
In △ ABC and △ DEF, ∠A = ∠E = 40∘ and ABED = ACEF. Find ∠B if ∠F is 65∘. |
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Answer» In △ ABC and △ DEF, ∠A = ∠E = 40∘ and ABED = ACEF. Find ∠B if ∠F is 65∘. |
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| 8481. |
In the figure, AB || CD and ∠1:∠2=3:2. The measure of ∠6 is |
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Answer» In the figure, AB || CD and ∠1:∠2=3:2. The measure of ∠6 is |
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| 8482. |
The value of 'x' for which (7.6)(7.6) + 7.6x + (0.9)(0.9) is a perfect square is |
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Answer» The value of 'x' for which (7.6)(7.6) + 7.6x + (0.9)(0.9) is a perfect square is |
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| 8483. |
The degree of the polynomial f(x)=∣∣∣∣14201−2512x5x2∣∣∣∣ is |
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Answer» The degree of the polynomial f(x)=∣∣ |
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| 8484. |
AB, BC, and AC are tangents to the circle at M, X, and N respectively.Also, AM = 2 cm, BX = 3 cm, NC = 4 cmThen, find the value of (AN + XC + MB). |
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Answer»
AB, BC, and AC are tangents to the circle at M, X, and N respectively. |
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| 8485. |
Which of the following statements is true about the decimal expansion of the square root of 2? |
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Answer» Which of the following statements is true about the decimal expansion of the square root of 2? |
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| 8486. |
Factorize: x2−7x+12. |
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Answer» Factorize: x2−7x+12. |
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| 8487. |
Factorise: (x-3y)3+(3y-7z)3+(7z-x)3 |
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Answer» Factorise: (x-3y)3+(3y-7z)3+(7z-x)3 |
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| 8488. |
Without plotting the points indicate the quadrant in which they will lie ifi. the ordinate is 5 and abscissa is - 3.ii. the abscissa is - 5 and ordinate is - 3. |
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Answer» Without plotting the points indicate the quadrant in which they will lie if i. the ordinate is 5 and abscissa is - 3. ii. the abscissa is - 5 and ordinate is - 3. |
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| 8489. |
what is the ratio of sides of a right angled triangle in which angles are 30,60 and 90 degrees? |
| Answer» what is the ratio of sides of a right angled triangle in which angles are 30,60 and 90 degrees? | |
| 8490. |
What is the distance of the point (-6,8) from the origin? |
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Answer» What is the distance of the point (-6,8) from the origin? |
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| 8491. |
In a ΔABC if D and E are mid-points of BC and AD respectively such that ar (ΔAEC) = 4cm2, then ar (ΔBEC) =(a) 4 cm2(b) 6 cm2(c) 8 cm2(d) 12 cm2 |
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Answer» In a ΔABC if D and E are mid-points of BC and AD respectively such that ar (ΔAEC) = 4cm2, then ar (ΔBEC) = (a) 4 cm2 (b) 6 cm2 (c) 8 cm2 (d) 12 cm2 |
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| 8492. |
38. The sum of cubes of 2 positive numbers is same as the cube of their sum. The 2 numbers are not equal to 0. What is the sum of the two number |
| Answer» 38. The sum of cubes of 2 positive numbers is same as the cube of their sum. The 2 numbers are not equal to 0. What is the sum of the two number | |
| 8493. |
Find the length of AC (in cm), if the radius of the circle is 4 cm. |
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Answer» Find the length of AC (in cm), if the radius of the circle is 4 cm.
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| 8494. |
Plot the following points on the graph paper:(i) (2,5)(ii) (4, −3)(iii) (−5, −7)(iv) (7, −4)(v) (−3, 2)(vi) (7, 0)(vii) (−4, 0)(viii) (0, 7)(ix) (0, −4)(x) (0, 0) |
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Answer» Plot the following points on the graph paper: (i) (2,5) (ii) (4, −3) (iii) (−5, −7) (iv) (7, −4) (v) (−3, 2) (vi) (7, 0) (vii) (−4, 0) (viii) (0, 7) (ix) (0, −4) (x) (0, 0) |
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| 8495. |
Prove that the opposite angles of a parallelogram are equal. |
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Answer» Prove that the opposite angles of a parallelogram are equal. |
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| 8496. |
If p and q are rational numbers, then find p and q given that 4 + √144 − √14=p+q√14 |
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Answer» If p and q are rational numbers, then find p and q given that 4 + √144 − √14=p+q√14 |
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| 8497. |
Prove √6 as an irrational number |
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Answer» Prove √6 as an irrational number |
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| 8498. |
Factorise: 81x3−3y3 |
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Answer» Factorise: |
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| 8499. |
If x=(√3+√2)(√3−√2) and y=√3−√2(√3+√2),find(x2+y2) |
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Answer» If x=(√3+√2)(√3−√2) and y=√3−√2(√3+√2),find(x2+y2) |
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| 8500. |
Question 5 The graph of the linear equation 2x + 3y = 6 cuts the y-axis at the point: A) (2, 0) B) (0, 3) C) (3, 0) D) (0, 2) |
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Answer» Question 5 |
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