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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.
| 9451. |
In a quadrilateral ABCD, \angle A + \angle D = 90^°. Prove that AC^2+ BD^2 = AD^2 + BC^{ ^2} \lbrack Hint: Produce AB and DC to meet at E.\rbrack |
| Answer» In a quadrilateral ABCD, \angle A + \angle D = 90^°. Prove that AC^2+ BD^2 = AD^2 + BC^{ ^2} \lbrack Hint: Produce AB and DC to meet at E.\rbrack | |
| 9452. |
In this figure, triangle ABC is right - angled at B. Given that AB = 9 cm, AC = 15 cm and D and E are the mid-points of the sides AB and AC respectively, calculate the area of ΔADE. |
Answer» In this figure, triangle ABC is right - angled at B. Given that AB = 9 cm, AC = 15 cm and D and E are the mid-points of the sides AB and AC respectively, calculate the area of ΔADE. |
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| 9453. |
What angle does a radius subtend at the centre of a circle? |
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Answer» What angle does a radius subtend at the centre of a circle? |
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| 9454. |
1)The salary of an officer is increased by 25%. By what per cent should the new salary be decreased to restore the original salary? |
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Answer» 1)The salary of an officer is increased by 25%. By what per cent should the new salary be decreased to restore the original salary? |
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| 9455. |
The area of a rectangle whose length is 20 m and breadth is 7.5 m is ___ sq m. |
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Answer» The area of a rectangle whose length is 20 m and breadth is 7.5 m is |
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| 9456. |
In the given figure, find the measurement of h. |
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Answer» In the given figure, find the measurement of h.
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| 9457. |
Find the surface area of a sphere of radius:(0) 105 cm1.(ii) 5.6 cm |
| Answer» Find the surface area of a sphere of radius:(0) 105 cm1.(ii) 5.6 cm | |
| 9458. |
Question 7D is any point on side AC of a ΔABC with AB = AC. Show that CD < BD. |
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Answer» Question 7 D is any point on side AC of a ΔABC with AB = AC. Show that CD < BD. |
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| 9459. |
An element having an atomic radius of 0.14 nm crystallizes in an FCC unit cell. What is the length of a side of the cell in nm(√2=1.4) |
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Answer» An element having an atomic radius of 0.14 nm crystallizes in an FCC unit cell. What is the length of a side of the cell in nm (√2=1.4) |
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| 9460. |
Factories 1. x3-3x2+3x+7 |
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Answer» Factories 1. x3-3x2+3x+7 |
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| 9461. |
If 4sin2θ−1=0 and angle θ is less than 90∘, find the value of θ and hence the value of cos2θ+tan2θ. |
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Answer» If 4sin2θ−1=0 and angle θ is less than 90∘, find the value of θ and hence the value of cos2θ+tan2θ. |
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| 9462. |
Question 1 (iii)Does the following figure lie on the same base and between the same parallels? If yes,write the common base and two parallels. |
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Answer» Question 1 (iii) Does the following figure lie on the same base and between the same parallels? If yes,write the common base and two parallels.  |
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| 9463. |
The volume of a prism is 100 m3 and its height is 4√3m. The base of the prism is an equilateral triangle. What is the length of each side of the triangle forming the base of the prism ? |
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Answer» The volume of a prism is 100 m3 and its height is 4√3m. The base of the prism is an equilateral triangle. What is the length of each side of the triangle forming the base of the prism ? |
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| 9464. |
In the given figure, if ABCD is a rhombus with ∠ADC=58°, then the measure of 2∠CAB–∠ABD is equal to |
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Answer» In the given figure, if ABCD is a rhombus with ∠ADC=58°, then the measure of 2∠CAB–∠ABD is equal to |
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| 9465. |
The mean of n observations is X. If k is added to each observation, then the new mean is(a) X(b) X + k(c) X − k(d) kX |
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Answer» The mean of n observations is X. If k is added to each observation, then the new mean is (a) X (b) X + k (c) X − k (d) kX |
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| 9466. |
Which of the following figures lie on the same base and between the same parallels. In such a case, write the comon base and the two parallels. |
Answer» Which of the following figures lie on the same base and between the same parallels. In such a case, write the comon base and the two parallels.     
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| 9467. |
Queston 1(i)Identify the terms, their coefficients for the following expression:5xyz2−3zy |
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Answer» Queston 1(i) |
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| 9468. |
In the figure, O is the centre of the circle of radius 5 cm. P and Q are points on chords AB and CD respectively such that OP⊥AB, OQ⊥CD, AB||CD, AB=6 cm and CD=8 cm. Determine PQ. |
Answer» In the figure, O is the centre of the circle of radius 5 cm. P and Q are points on chords AB and CD respectively such that OP⊥AB, OQ⊥CD, AB||CD, AB=6 cm and CD=8 cm. Determine PQ. |
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| 9469. |
An angle is thrice its supplement. The measure of the angle is(a) 120°(b) 105°(c) 135°(d) 150° |
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Answer» An angle is thrice its supplement. The measure of the angle is (a) 120° (b) 105° (c) 135° (d) 150° |
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| 9470. |
The point of intersection of the perpendicular bisectors of the sides of a triangle is called |
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Answer» The point of intersection of the perpendicular bisectors of the sides of a triangle is called |
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| 9471. |
If two complementary angles are in the ratio 7 : 11, the supplement of the larger angle is _________. |
| Answer» If two complementary angles are in the ratio 7 : 11, the supplement of the larger angle is _________. | |
| 9472. |
x3 − 6x2 + 3x + 10 |
| Answer» x3 − 6x2 + 3x + 10 | |
| 9473. |
f(x) = 3x3 + x2 − 20x +12, g(x) = 3x − 2 |
| Answer» f(x) = 3x3 + x2 − 20x +12, g(x) = 3x − 2 | |
| 9474. |
Find the cube of 3a - 2b . |
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Answer» Find the cube of 3a - 2b . |
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| 9475. |
On 31st March, 2018 , the total assets and external liabilities were ₹ 2,00,000 and ₹ 6,000 respectively . During the year, the proprietor had introduced capital of ₹ 20,000 and withdrawn ₹ 12,000 for personal use . He made a profit of ₹ 20,000 during the year. Calculate the capital as on 1st April, 2017. |
| Answer» On 31st March, 2018 , the total assets and external liabilities were ₹ 2,00,000 and ₹ 6,000 respectively . During the year, the proprietor had introduced capital of ₹ 20,000 and withdrawn ₹ 12,000 for personal use . He made a profit of ₹ 20,000 during the year. Calculate the capital as on 1st April, 2017. | |
| 9476. |
Construct a rhombus whose side is 5 cm and one angle is of 60∘. |
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Answer» Construct a rhombus whose side is 5 cm and one angle is of 60∘. |
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| 9477. |
the point 2,4 is joined to any point p of the circle |
| Answer» the point 2,4 is joined to any point p of the circle | |
| 9478. |
What is slant height of a right circular cone? |
| Answer» What is slant height of a right circular cone? | |
| 9479. |
In the given figure, O is the centre of the circle and ∠BCO = 30°. Find x and y. |
Answer» In the given figure, O is the centre of the circle and ∠BCO = 30°. Find x and y.
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| 9480. |
16. A boat goes 36km down stream and 25km upstream in 9hour it can go 45km down stream and 35km upstream in 12 hours find the speed of boat in still water and that of the stream (by elimination method) |
| Answer» 16. A boat goes 36km down stream and 25km upstream in 9hour it can go 45km down stream and 35km upstream in 12 hours find the speed of boat in still water and that of the stream (by elimination method) | |
| 9481. |
If AB, BC and CD are equal chords of a circle with O as centre and AD diameter, than ∠AOB =(a) 60°(b) 90°(c) 120°(d) none of these |
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Answer» If AB, BC and CD are equal chords of a circle with O as centre and AD diameter, than ∠AOB = (a) 60° (b) 90° (c) 120° (d) none of these |
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| 9482. |
Factorise: 8(3a−2b)2−10(3a−2b) |
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Answer» Factorise: |
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| 9483. |
In the figure, |
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Answer» In the figure, | |
| 9484. |
ABCD is a parallelogram in which ∠A = 70°. Compute ∠B, ∠C and ∠D. |
| Answer» ABCD is a parallelogram in which ∠A = 70°. Compute ∠B, ∠C and ∠D. | |
| 9485. |
Square B is inside square A.The area of square A is 67 m2, and the area of square B is 16 m2. The area between square A and square B is _________. |
Answer» Square B is inside square A. The area of square A is 67 m2, and the area of square B is 16 m2. The area between square A and square B is _________. |
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| 9486. |
In quadrilateral ABCD, M is the mid-point of AC. If area (BCDM) is 20 cm2, then find the area (ABMD). [3 MARKS] |
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Answer» In quadrilateral ABCD, M is the mid-point of AC. If area (BCDM) is 20 cm2, then find the area (ABMD). [3 MARKS]
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| 9487. |
Number of radii in a circle with equal length are ____. |
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Answer» Number of radii in a circle with equal length are ____. |
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| 9488. |
If a tank is in the shape of a right circular cylinder whose radius and height are 7 cm and 14 cm respectively, then the capacity of cylinder is ___ ×10−4 m3. |
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Answer» If a tank is in the shape of a right circular cylinder whose radius and height are 7 cm and 14 cm respectively, then the capacity of cylinder is |
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| 9489. |
If the intersection points of angle bisectors of adjacent vertices of a quadrilateral are joined together to form a quadrilateral, then this quadrilateral will be |
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Answer» If the intersection points of angle bisectors of adjacent vertices of a quadrilateral are joined together to form a quadrilateral, then this quadrilateral will be |
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| 9490. |
In the given figure, if ∠BAD=∠CAD,∠ABD=∠ACD, then which of the following is false? |
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Answer» In the given figure, if ∠BAD=∠CAD,∠ABD=∠ACD, then which of the following is false?
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| 9491. |
If an angle of a parallelogram is two-third of its adjacent angle, the smallest angle of the parallelogram is(a) 108°(b) 54°(c) 72°(d) 81° |
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Answer» If an angle of a parallelogram is two-third of its adjacent angle, the smallest angle of the parallelogram is (a) 108° (b) 54° (c) 72° (d) 81° |
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| 9492. |
Question 7 (i) Solve the following pair of linear equations. (i) px + qy = p − q qx − py = p + q |
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Answer» Question 7 (i) Solve the following pair of linear equations. (i) px + qy = p − q qx − py = p + q |
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| 9493. |
In the figure given below, if BD = 2.4 cm, AC = 3.6 cm, PD = 4 cm, PB = 3.2 cm, and AC is parallel to BD, then the lengths of PA & PC will be |
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Answer» In the figure given below, if BD = 2.4 cm, AC = 3.6 cm, PD = 4 cm, PB = 3.2 cm, and AC is parallel to BD, then the lengths of PA & PC will be
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| 9494. |
How to locate √2 - 1 on number line? |
| Answer» How to locate √2 - 1 on number line? | |
| 9495. |
2 spheres of same metal weigh 1 kg and 7 kg. The radius of smaller sphere is 3 cm. The 2 spheres are melted to form a big sphere. Find diameter of new sphere. |
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Answer» 2 spheres of same metal weigh 1 kg and 7 kg. The radius of smaller sphere is 3 cm. The 2 spheres are melted to form a big sphere. Find diameter of new sphere. |
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| 9496. |
Give reasons for the following:A square can be thought of as a special rectangle. |
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Answer» Give reasons for the following: A square can be thought of as a special rectangle. |
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| 9497. |
On 30th June, 2016, the pass book of Nataraj showed a bank overdraft of ₹ 46,000. The following additional information is available. You are required to prepare a bank reconciliation statement as on the above mentioned date:(i) Out of total cheques issued, cheques for ₹ 22,000 have not been presented for payment so far.(ii) Cheques paid into bank for collection, but not yet cleared total ₹ 31,000.(iii) Bank has charged ₹ 2,300 as interest on overdraft; it does not appear in cash book.(iv) A customer has directly deposited ₹ 8,300 with bank in Nataraj's account for which there is no entry in cash book.(v) Dividend on shares collected by bank and credited in the pass book amounts to ₹ 2,000 for which no intimation has been given to Nataraj so far.(vi) A bill for ₹ 10,000 discounted with the bank was dishonoured on maturity. Bank has debited Nataraj with ₹ 10,100 including ₹ 100 for noting charges, the transaction has not yet been recorded in cash book. |
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Answer» On 30th June, 2016, the pass book of Nataraj showed a bank overdraft of ₹ 46,000. The following additional information is available. You are required to prepare a bank reconciliation statement as on the above mentioned date: (i) Out of total cheques issued, cheques for ₹ 22,000 have not been presented for payment so far. (ii) Cheques paid into bank for collection, but not yet cleared total ₹ 31,000. (iii) Bank has charged ₹ 2,300 as interest on overdraft; it does not appear in cash book. (iv) A customer has directly deposited ₹ 8,300 with bank in Nataraj's account for which there is no entry in cash book. (v) Dividend on shares collected by bank and credited in the pass book amounts to ₹ 2,000 for which no intimation has been given to Nataraj so far. (vi) A bill for ₹ 10,000 discounted with the bank was dishonoured on maturity. Bank has debited Nataraj with ₹ 10,100 including ₹ 100 for noting charges, the transaction has not yet been recorded in cash book. |
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| 9498. |
√3+2√2 = __________________ |
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Answer» √3+2√2 = |
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| 9499. |
An unequal side of an isosceles triangle is 24 cm and its area is 60cm 2 find the perimeter of isosceles triangle . |
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Answer» An unequal side of an isosceles triangle is 24 cm and its area is 60cm 2 find the perimeter of isosceles triangle . |
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| 9500. |
The base of an isosceles triangle measures 80 cm and its area is 360 cm2. Find the perimeter of the triangle. |
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Answer» The base of an isosceles triangle measures 80 cm and its area is 360 cm2. Find the perimeter of the triangle. |
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