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.
| 5601. |
Find the y-intercept of the line 2x-3y+5=0 |
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Answer» Find the y-intercept of the line 2x-3y+5=0 |
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| 5602. |
If x2 − 1 is a factor of ax4 + bx3 + cx2 + dx + e, then(a) a + c + e = b + d(b) a + b +e = c + d(c) a + b + c = d + e(d) b + c + d = a + e |
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Answer» If x2 − 1 is a factor of ax4 + bx3 + cx2 + dx + e, then (a) a + c + e = b + d (b) a + b +e = c + d (c) a + b + c = d + e (d) b + c + d = a + e |
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| 5603. |
No. of polynomials having the zeroes 2 and 1 |
| Answer» No. of polynomials having the zeroes 2 and 1 | |
| 5604. |
Question 9In given figure, ABC is a triangle right angled at B and BD⊥AC. If AD =4 cm and CD = 5cm, then find BD and AB. |
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Answer» Question 9 In given figure, ABC is a triangle right angled at B and BD⊥AC. If AD =4 cm and CD = 5cm, then find BD and AB. ![]() |
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| 5605. |
Distance between √2 & -√2 on the number line approximately is _____________. |
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Answer» Distance between √2 & -√2 on the number line approximately is _____________. |
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| 5606. |
If 13+23+...+93=2025, then (0.11)3+(0.22)3+...(0.99)3 will be _________. |
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Answer» If 13+23+...+93=2025, then (0.11)3+(0.22)3+...(0.99)3 will be _________. |
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| 5607. |
how to find the value of sin 37 degree |
| Answer» how to find the value of sin 37 degree | |
| 5608. |
Question 1 (i)Solve the following pair of linear equations by the elimination method and the substitution method:x + y =5 and 2x - 3y = 4 |
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Answer» Question 1 (i) |
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| 5609. |
In the given figure, PQ and RS are two mirrors placed parallel to each other. An incident ray AB strikes the mirror PQ at B, the reflected ray moves along the path BC and strikes the mirror RS at C and again reflects back along CD. Prove that AB || CD. |
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Answer» In the given figure, PQ and RS are two mirrors placed parallel to each other. An incident ray AB strikes the mirror PQ at B, the reflected ray moves along the path BC and strikes the mirror RS at C and again reflects back along CD. Prove that AB || CD.
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| 5610. |
Fill In The Blanks If O is the circumcentre of ΔABC, then ∠OBC + ∠BAC = __________. |
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Answer» Fill In The Blanks If O is the circumcentre of ΔABC, then ∠OBC + ∠BAC = __________. |
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| 5611. |
Question 5Three girls Reshma, Salma and Mandip are playing a game by standing on a circle of radius 5 m drawn in a park. Reshma throws a ball to Salma, Salma to Mandip, Mandip to Reshma. If the distance between Reshma and Salma and between Salma and Mandip is 6 m each, what is the distance between Reshma and Mandip? |
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Answer» Question 5 |
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| 5612. |
f(x) = 3x4 + 17x3 + 9x2 − 7x − 10; g(x) = x + 5 |
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Answer» f(x) = 3x4 + 17x3 + 9x2 − 7x − 10; g(x) = x + 5 |
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| 5613. |
Find the area of the triangle ABC. |
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Answer» Find the area of the triangle ABC. |
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| 5614. |
In the figure, O is the circumcentre of the triangle ABC, AB = AC and the line OD is perpendicular to the side BC. If BC = 24 cm and OD = 5 cm, then find the circumradius. |
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Answer» In the figure, O is the circumcentre of the triangle ABC, AB = AC and the line OD is perpendicular to the side BC. If BC = 24 cm and OD = 5 cm, then find the circumradius. |
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| 5615. |
Question 5 (i)Give examples of polynomial p(x), g(x), q(x) and r(x), which satisfy the division algorithm anddeg p(x) = deg q(x) |
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Answer» Question 5 (i) deg p(x) = deg q(x) |
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| 5616. |
Question 9A grouped frequency distribution table with classes of equal sizes using 63 - 72 (72 included) as one of the class is constructed for the following data.30, 32, 45, 54, 74, 78, 108, 112, 66, 76, 8840, 14, 20, 15, 35, 44, 66, 75, 84, 95, 96102, 110, 88, 74, 112, 14, 34, 44.The number of classes in the distribution will be:A) 9B) 10C) 11D) 12 |
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Answer» Question 9 30, 32, 45, 54, 74, 78, 108, 112, 66, 76, 88 40, 14, 20, 15, 35, 44, 66, 75, 84, 95, 96 102, 110, 88, 74, 112, 14, 34, 44. |
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| 5617. |
In the following figure, E is a point on side CB produced, of an isosceles triangle ABC, with AB = AC. If AD ⊥ BC and EF ⊥ AC, prove that ΔABD∼ΔECF. |
Answer» In the following figure, E is a point on side CB produced, of an isosceles triangle ABC, with AB = AC. If AD ⊥ BC and EF ⊥ AC, prove that ΔABD∼ΔECF.![]() |
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| 5618. |
Write the coefficients of x2 in each of the following:(i) 2+x2+x(ii) 2−x2+x3 |
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Answer» Write the coefficients of x2 in each of the following: (i) 2+x2+x (ii) 2−x2+x3 |
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| 5619. |
The length of the sides of a cube with total surface area 1536 cm2 is . |
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Answer» The length of the sides of a cube with total surface area 1536 cm2 is |
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| 5620. |
What principal will amount to Rs. 9,856 in two years, if the rates of interest for successive years are 10% and 12% respectively ? |
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Answer» What principal will amount to Rs. 9,856 in two years, if the rates of interest for successive years are 10% and 12% respectively ? |
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| 5621. |
From the following particulars of a trader, prepare a Bank Reconcilaton Statement as on 31st March, 2018.(i) Bank overdraft as per Cash Book ₹ 52,100.(ii) During the month, the total amount of cheques for ₹ 94,400 were deposited into the bank but of these, one cheque for ₹ 11,160 has been entered into the Pass Book on 5th April.(iii) During the month, cheques for ₹ 89,580 were drawn in favour of creditors. Of them one creditor for ₹ 38,580 encashed his cheque on 7th April whereas another for ₹ 4,320 have not yet been encashed.(iv) As per instructions the bank on 28th March paid out ₹ 10,500 to a creditor but by mistake, the same has not been entered in the Cash Book.(v) According to agreement, on 25th March, a debtor deposited directly into the bank ₹ 9,000 but the same has not been recorded in the Cash Book.(vi) In the month of March, the bank without any intimation, debited his account for ₹ 120 as bank charges and credited the same for ₹ 180 as interest.(vii) Cash deposit of ₹ 5,780 in bank was recorded as ₹ 7,580. The error was rectified by the Bank before 31st March, 2018. |
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Answer» From the following particulars of a trader, prepare a Bank Reconcilaton Statement as on 31st March, 2018. (i) Bank overdraft as per Cash Book ₹ 52,100. (ii) During the month, the total amount of cheques for ₹ 94,400 were deposited into the bank but of these, one cheque for ₹ 11,160 has been entered into the Pass Book on 5th April. (iii) During the month, cheques for ₹ 89,580 were drawn in favour of creditors. Of them one creditor for ₹ 38,580 encashed his cheque on 7th April whereas another for ₹ 4,320 have not yet been encashed. (iv) As per instructions the bank on 28th March paid out ₹ 10,500 to a creditor but by mistake, the same has not been entered in the Cash Book. (v) According to agreement, on 25th March, a debtor deposited directly into the bank ₹ 9,000 but the same has not been recorded in the Cash Book. (vi) In the month of March, the bank without any intimation, debited his account for ₹ 120 as bank charges and credited the same for ₹ 180 as interest. (vii) Cash deposit of ₹ 5,780 in bank was recorded as ₹ 7,580. The error was rectified by the Bank before 31st March, 2018. |
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| 5622. |
Factorize :(i) x^4 – 20x^2y^2 + 64y^4 (ii) 25x^2 + 90xy + 81y^2 – 20x – 36y |
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Answer» Factorize : (i) x^4 – 20x^2y^2 + 64y^4 (ii) 25x^2 + 90xy + 81y^2 – 20x – 36y |
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| 5623. |
If x + y + z = 0, then (x + y)3 + (y + z)3 + (z + x)3 = ________. |
| Answer» If x + y + z = 0, then (x + y)3 + (y + z)3 + (z + x)3 = ________. | |
| 5624. |
A and B are joined sets.If n(A−B)=25+x, n(B−A)=2x, n(A∩B)=2x and n(A) = 2[n(B)], then x = ____. |
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Answer» A and B are joined sets.If n(A−B)=25+x, n(B−A)=2x, n(A∩B)=2x and n(A) = 2[n(B)], then x = ____. |
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| 5625. |
In figure, line segments AB and CD bisect each other at O. Which of the following statements is true?(i) ΔAOC ≅ ΔDOB(ii) ΔAOC ≅ ΔBOD(iii) ΔAOC ≅ ΔODBState the three pairs of matching parts you have used to arrive at the answer. |
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Answer» In figure, line segments AB and CD bisect each other at O. Which of the following statements is true? (i) ΔAOC ≅ ΔDOB (ii) ΔAOC ≅ ΔBOD (iii) ΔAOC ≅ ΔODB |
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| 5626. |
Joey started a business and he invested Rs. 40000. After some months, Amar joined him with Rs. 30000. At the end of the year, the total profit was divided among them into the ratio of 16:8. Find after how many months did Amar join. |
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Answer» Joey started a business and he invested Rs. 40000. After some months, Amar joined him with Rs. 30000. At the end of the year, the total profit was divided among them into the ratio of 16:8. Find after how many months did Amar join. |
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| 5627. |
In the given figure AB∥EF∥DC; AB = 67.5 cm. DC = 40.5 cm and AE = 52.5 cm. Find the length of EF. |
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Answer» In the given figure AB∥EF∥DC; AB = 67.5 cm. DC = 40.5 cm and AE = 52.5 cm. Find the length of EF.
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| 5628. |
In a restaurant, WiFi signal has to be provided only to the deluxe class. Signal reaches each of the customer upto a distance of 21 m from the antenna and the total area for which signal to be provided is 231 m2. What is the angle (in degrees) at which the signal has to be spread over a sector by the antenna? |
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Answer» In a restaurant, WiFi signal has to be provided only to the deluxe class. Signal reaches each of the customer upto a distance of 21 m from the antenna and the total area for which signal to be provided is 231 m2. What is the angle (in degrees) at which the signal has to be spread over a sector by the antenna? |
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| 5629. |
Which of the following is correct histogram for the given data? |
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Answer» Which of the following is correct histogram for the given data?
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| 5630. |
Every point on a number line represents |
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Answer» Every point on a number line represents |
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| 5631. |
if tan theta is 1/3 what is the value of theta |
| Answer» if tan theta is 1/3 what is the value of theta | |
| 5632. |
Question 4(viii) Find 215÷115 |
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Answer» Question 4(viii) Find 215÷115 |
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| 5633. |
The radius and the height of a right circular cone are in the ratio 5 : 12. If its volume is 314 cubic metre, find the slant height and the radius (Use π = 3.14). |
| Answer» The radius and the height of a right circular cone are in the ratio 5 : 12. If its volume is 314 cubic metre, find the slant height and the radius (Use ). | |
| 5634. |
Factorise.(i) 125p3+q3(ii) 24a3+81b3 |
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Answer» Factorise. (i) 125p3+q3 (ii) 24a3+81b3 |
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| 5635. |
Question 11 (v)In ΔABC and ΔDEF ,AB=DE, AB || DE, BC =EF and BC ⃦EF. Vertices A, B and C are joined to vertices D, E and F respectively ( see the given figure). Show that AC = DF . |
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Answer» Question 11 (v) In ΔABC and ΔDEF ,AB=DE, AB || DE, BC =EF and BC ⃦EF. Vertices A, B and C are joined to vertices D, E and F respectively ( see the given figure). Show that AC = DF . ![]() |
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| 5636. |
Question 2 (iii)1500 families with 2 children were selected randomly, and the following data were recorded:Number of girls in a family210Number of families475814211Compute the probability of a family, chosen at random, having no girl |
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Answer» Question 2 (iii) |
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| 5637. |
Ten bags of wheat flour each marked 5 kg, actually contained the following weights of flour (in kg) 4.97, 5.05, 5.08, 5.03, 5.00, 5.06, 5.08, 4.98, 5.04, 5, 07Find the probability that any of these bags chosen at random contains more than 5 kg of flour. |
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Answer» Ten bags of wheat flour each marked 5 kg, actually contained the following weights of flour (in kg) 4.97, 5.05, 5.08, 5.03, 5.00, 5.06, 5.08, 4.98, 5.04, 5, 07 |
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| 5638. |
The mean of 16 numbers is 8.if 2 is added to every number ,what is the new mean? |
| Answer» The mean of 16 numbers is 8.if 2 is added to every number ,what is the new mean? | |
| 5639. |
Why are accurate constructions necessary? [1 MARK] |
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Answer» Why are accurate constructions necessary? [1 MARK] |
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| 5640. |
The zeroes of a polynomial p(x)=ax2+bx+2 are 1 and 2 Which of the following are statements is/are true? |
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Answer» The zeroes of a polynomial p(x)=ax2+bx+2 are 1 and 2 |
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| 5641. |
The distance between the points (-1, 5) and (2, 1) is ___ units. |
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Answer» The distance between the points (-1, 5) and (2, 1) is |
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| 5642. |
In the figure, ABC is a triangle in which ∠BAC=30∘. Show that BC is equal to the radius of the circumcircle of ΔABC, whose centre is O. [3 MARKS] |
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Answer» In the figure, ABC is a triangle in which ∠BAC=30∘. Show that BC is equal to the radius of the circumcircle of ΔABC, whose centre is O.
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| 5643. |
If the area of a square is 225 m2, then its perimeter is(a) 15 m (b) 60 m (c) 225 m (d) 30 m |
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Answer» If the area of a square is 225 m2, then its perimeter is (a) 15 m (b) 60 m (c) 225 m (d) 30 m |
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| 5644. |
How many cricket balls can Alex buy from ₹2000, if the cost of one ball is ₹100? |
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Answer» How many cricket balls can Alex buy from ₹2000, if the cost of one ball is ₹100? |
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| 5645. |
The small groups obtained on grouping all the observations are called ________ and their size is called the _________. |
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Answer» The small groups obtained on grouping all the observations are called ________ and their size is called the _________. |
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| 5646. |
Let x be a rational number and y be an irrational number. Is x+y necessarily an irrational number ? Give an example in support of your answer. |
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Answer» Let x be a rational number and y be an irrational number. Is x+y necessarily an irrational number ? Give an example in support of your answer. |
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| 5647. |
Supplementary angle concept |
| Answer» Supplementary angle concept | |
| 5648. |
In a planet other than earth, the days of week in order are Sunday, Friday, Tuesday, Thursday and Monday. If two days ago, it was Friday. What is today? |
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Answer» In a planet other than earth, the days of week in order are Sunday, Friday, Tuesday, Thursday and Monday. If two days ago, it was Friday. What is today? |
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| 5649. |
Mark the correct alternative in each of the following:The opposite sides of a quadrilateral have(a) no common point(b) one common point(c) two common points(d) infinitely many common points |
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Answer» Mark the correct alternative in each of the following: The opposite sides of a quadrilateral have (a) no common point (b) one common point (c) two common points (d) infinitely many common points |
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| 5650. |
Note Use π=227, unless stated otherwise.A conical tent is 10 m high and the radius of its base is 24 m. Find the slant height of the tent. If the cost of 1 m2 canvas is ₹ 70, find the cost of canvas required to make the tent. |
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Answer» Note Use , unless stated otherwise. A conical tent is 10 m high and the radius of its base is 24 m. Find the slant height of the tent. If the cost of 1 m2 canvas is ₹ 70, find the cost of canvas required to make the tent. |
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