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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.
| 14451. |
A toy company manufactures two types of dolls, A and B. Market tests and available resources have indicated that the combined production level should not exceed 1200 dolls per week and the demand for dolls of type B is at most half of that for dolls of type A. Further, the production level of dolls of type A can exceed three times the production of dolls of other types by at most 600 units. If the company makes a profit of Rs.12 and Rs.16 per doll respectively on dolls A and B, how many of each should be produced weekly in order to maximize the profit |
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Answer» A toy company manufactures two types of dolls, A and B. Market tests and available resources have indicated that the combined production level should not exceed 1200 dolls per week and the demand for dolls of type B is at most half of that for dolls of type A. Further, the production level of dolls of type A can exceed three times the production of dolls of other types by at most 600 units. If the company makes a profit of Rs.12 and Rs.16 per doll respectively on dolls A and B, how many of each should be produced weekly in order to maximize the profit |
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| 14452. |
What is volume? How we can calculate the volume of a cuboid? |
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Answer» What is volume? How we can calculate the volume of a cuboid? |
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| 14453. |
Three circles of radii a,b,c (a |
| Answer» Three circles of radii a,b,c (a | |
| 14454. |
50 bells B1,B2,B3,.......B50 start ringing together. The bells ring after every 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.....50 sec respectively.In a span of 1 day , how many times do bells B10,B20,....B50 ring together? |
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Answer» 50 bells B1,B2,B3,.......B50 start ringing together. The bells ring after every 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.....50 sec respectively. |
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| 14455. |
135.The range of f(x)=cot(x)tan(x/3) |
| Answer» 135.The range of f(x)=cot(x)tan(x/3) | |
| 14456. |
Rectify the following errors:(i) Wages paid for the construction of office debited to the Wages Account, ₹ 5,000.(ii) Machinery purchased for ₹ 35,000 was passed through the Purchases Book.(iii) Old furniture sold for ₹ 1,000, passed through the Sales Book.(iv) ₹ 2,000 paid to Mehta Bros. against acceptance were debited to Malhotra Bros. Account.(v) Sales of ₹ 204 to Ram debited to his account as ₹ 402 and purchases of ₹ 1,012 from Shyam credited to his account as ₹ 1,210. |
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Answer» Rectify the following errors: (i) Wages paid for the construction of office debited to the Wages Account, ₹ 5,000. (ii) Machinery purchased for ₹ 35,000 was passed through the Purchases Book. (iii) Old furniture sold for ₹ 1,000, passed through the Sales Book. (iv) ₹ 2,000 paid to Mehta Bros. against acceptance were debited to Malhotra Bros. Account. (v) Sales of ₹ 204 to Ram debited to his account as ₹ 402 and purchases of ₹ 1,012 from Shyam credited to his account as ₹ 1,210. |
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| 14457. |
Match the correct expression for volume of the following 3D - shapes. |
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Answer» Match the correct expression for volume of the following 3D - shapes. |
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| 14458. |
The corresponding sides of 2 similar triangles △ABC and △PQR are in the ratio 5 : 2. The length of side PR (in cm) is___________.Given that AB = 3 cm and AC = 10 cm. |
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Answer» The corresponding sides of 2 similar triangles △ABC and △PQR are in the ratio 5 : 2. The length of side PR (in cm) is___________. |
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| 14459. |
If tan θ=ab,prove that a sin θ−b cos θa sin θ+b cos θ=a2−b2a2+b2 |
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Answer» If tan θ=ab,prove that a sin θ−b cos θa sin θ+b cos θ=a2−b2a2+b2 |
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| 14460. |
An event with only 1 outcome is called __. |
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Answer» An event with only 1 outcome is called __. |
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| 14461. |
A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30∘. |
Answer» A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30∘. |
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| 14462. |
16. The areas of three adjacent faces of a cuboid are x,y,z and its volume is V square=xyz |
| Answer» 16. The areas of three adjacent faces of a cuboid are x,y,z and its volume is V square=xyz | |
| 14463. |
If the point A (x, 2) is equidistant from the points B(8, -2) and C(2, -2) find the value of x. Also, find the length of AB. |
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Answer» If the point A (x, 2) is equidistant from the points B(8, -2) and C(2, -2) find the value of x. Also, find the length of AB. |
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| 14464. |
Write the area of the sector of a circle whose radius is r and length of the arc is l. |
| Answer» Write the area of the sector of a circle whose radius is r and length of the arc is l. | |
| 14465. |
Bhanu and Partab are partners sharings profits equally. Their fixed capitals as on 1st April, 2018 are ₹ 8,00,000 and ₹ 10,00,000 respectively. Their drawings during the year were ₹ 50,000 and ₹ 1,00,000 respectively. Interest on Capital is a charge and is to be allowed 10% p.a. and interest on drawings is to be charged 15% p.a. Net Profit for the year ended 31st March, 2019 was ₹ 1,20,000.Prepare Profit and Loss Appropriation Account. |
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Answer» Bhanu and Partab are partners sharings profits equally. Their fixed capitals as on 1st April, 2018 are ₹ 8,00,000 and ₹ 10,00,000 respectively. Their drawings during the year were ₹ 50,000 and ₹ 1,00,000 respectively. Interest on Capital is a charge and is to be allowed 10% p.a. and interest on drawings is to be charged 15% p.a. Net Profit for the year ended 31st March, 2019 was ₹ 1,20,000. Prepare Profit and Loss Appropriation Account. |
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| 14466. |
Find the value of k for which each of the following system of equations have infinitely many solutions :2x+3y=2k+2x+2k+1y=2k-1 |
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Answer» Find the value of k for which each of the following system of equations have infinitely many solutions : |
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| 14467. |
If the value of 2sin 2θ=√3, then the value of θ is ______. |
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Answer» If the value of 2sin 2θ=√3, then the value of θ is ______. |
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| 14468. |
Construct a circle of radius 7 cm. Mark a point P on it. Construct a tangent at point P. |
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Answer» Construct a circle of radius 7 cm. Mark a point P on it. Construct a tangent at point P. |
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| 14469. |
In an equilateral triangle, the line joining the point of intersection of medians to the base is 1√3 cm. Find the area of the triangle. |
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Answer» In an equilateral triangle, the line joining the point of intersection of medians to the base is 1√3 cm. Find the area of the triangle. |
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| 14470. |
Match the correct expression for volume of the following 3D - shapes. |
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Answer» Match the correct expression for volume of the following 3D - shapes. |
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| 14471. |
27. A is twice as fast as B and B is thrice as fast as C. In how many minuts will B cover the distance, which was covered by C in 57 minuts ? |
| Answer» 27. A is twice as fast as B and B is thrice as fast as C. In how many minuts will B cover the distance, which was covered by C in 57 minuts ? | |
| 14472. |
A cylinderical tank has a hole of 1cm^{2 in its bottom.If the water is allowed to flow into tank from a tube above it at the rate of 70cm^{2 ,then find the maximum height upto which water can rise in the tan |
| Answer» A cylinderical tank has a hole of 1cm^{2 in its bottom.If the water is allowed to flow into tank from a tube above it at the rate of 70cm^{2 ,then find the maximum height upto which water can rise in the tan | |
| 14473. |
In a D ABC,right angled at A, if tan C=√3, find the value of sin B cos C + cos B sin C. |
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Answer» In a D ABC,right angled at A, if tan C=√3, find the value of sin B cos C + cos B sin C. |
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| 14474. |
What us the conditions till the relation between mean mode and median is true that is mean-mode=3(mean-median) |
| Answer» What us the conditions till the relation between mean mode and median is true that is mean-mode=3(mean-median) | |
| 14475. |
the value of 1003 ki power 1 by 3 according to Binomial Theorem is |
| Answer» the value of 1003 ki power 1 by 3 according to Binomial Theorem is | |
| 14476. |
A bag contains 15 White and some black balls. If the probability of drawing a black ball from the bag is thrice that of drawing a white ball find the number of black balls in the bag. |
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Answer» A bag contains 15 White and some black balls. If the probability of drawing a black ball from the bag is thrice that of drawing a white ball find the number of black balls in the bag. |
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| 14477. |
If the median and mean of a given data are 1x and 1y respectively, then its mode is |
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Answer» If the median and mean of a given data are 1x and 1y respectively, then its mode is |
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| 14478. |
In a right triangle ABC, right angled at C, if ∠B = 60° and AB = 15 units. Find the remaining angles and sides. |
| Answer» In a right triangle ABC, right angled at C, if ∠B = 60° and AB = 15 units. Find the remaining angles and sides. | |
| 14479. |
Solve each of the following equations by using the method of completing the square:5x2-6x-2=0 |
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Answer» Solve each of the following equations by using the method of completing the square: |
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| 14480. |
If x2+x+1 is a factor of the polynomial 3x3+8x2+8x+3+5k, then the value of k is |
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Answer» If x2+x+1 is a factor of the polynomial 3x3+8x2+8x+3+5k, then the value of k is |
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| 14481. |
The smallest prime just greater than the HCF of 84 and 144 is(a) 11(b) 17(c) 19(d) 13 |
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Answer» The smallest prime just greater than the HCF of 84 and 144 is (a) 11 (b) 17 (c) 19 (d) 13 |
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| 14482. |
59. Three concentric spherical shells have shells have radii a,b,c respectively (a |
| Answer» 59. Three concentric spherical shells have shells have radii a,b,c respectively (a | |
| 14483. |
If -2 is one of the zeros of polynomial x cube - 4 x square - a x + 10 then remaining two zeros of polynomial are |
| Answer» If -2 is one of the zeros of polynomial x cube - 4 x square - a x + 10 then remaining two zeros of polynomial are | |
| 14484. |
tan2 A+ cot2 A = sec2 A cosecA-2 |
| Answer» tan2 A+ cot2 A = sec2 A cosecA-2 | |
| 14485. |
The sum of the reciprocals of Rehman's ages, (in years) 3 years ago and 5 years from now is 13. Find his present age. |
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Answer» The sum of the reciprocals of Rehman's ages, (in years) 3 years ago and 5 years from now is 13. Find his present age. |
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| 14486. |
If 5+9+13+... to n terms7+9+11+...to (n+1) terms=1716, then n =(a) 8(b) 7(c) 10(d) 11 |
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Answer» If then n = (a) 8 (b) 7 (c) 10 (d) 11 |
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| 14487. |
ntlet f(x) =ax3+bx2 +cx +d, a not equal to 0.if f(x) is one one and onto which of following is correct n ntb23acn ntb2=3acn |
| Answer» ntlet f(x) =ax3+bx2 +cx +d, a not equal to 0.if f(x) is one one and onto which of following is correct n ntb2<3acn ntb2>3acn ntb2=3acn | |
| 14488. |
In the given figure, AB is a diameter and AC is a chord of the circle and the tangent at C intersects AB produced in D. If ∠BAC=30∘, then ∠CDB= ______. |
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Answer» In the given figure, AB is a diameter and AC is a chord of the circle and the tangent at C intersects AB produced in D. If ∠BAC=30∘, then ∠CDB= |
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| 14489. |
Question 13D is a point on the side BC of a triangle ABC such that ∠ADC=∠BAC. Show that CA2=CB.CD. |
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Answer» Question 13 D is a point on the side BC of a triangle ABC such that ∠ADC=∠BAC. Show that CA2=CB.CD. |
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| 14490. |
A shopkeeper has one spherical laddu of radius 5 cm. With the same amount of material, how many laddoos of radius 2.5 cm can be made? |
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Answer» A shopkeeper has one spherical laddu of radius 5 cm. With the same amount of material, how many laddoos of radius 2.5 cm can be made? |
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| 14491. |
The following table presents the number of illiterate males in the age group (10–34) in a town Age Group10−1415−1920−2425−2930−34Number of males300980800580290 Draw a histogram to represent the above data |
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Answer» The following table presents the number of illiterate males in the age group (10–34) in a town Age Group10−1415−1920−2425−2930−34Number of males300980800580290 Draw a histogram to represent the above data |
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| 14492. |
Make a frequency table from the following: Marks obtainedNumber of studentsMore than 600More than 5016More than 4040More than 3075More than 2087More than 1092More than 0100 |
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Answer» Make a frequency table from the following: |
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| 14493. |
Tick the correct answer and justify: In ΔABC, AB = cm, AC = 12 cm and BC = 6 cm.The angle B is:(A) 120° (B) 60°(C) 90° (D) 45° |
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Answer» Tick the correct answer and justify: In ΔABC, AB = The angle B is: (A) 120° (B) 60° (C) 90° (D) 45° |
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| 14494. |
The simplest form of 10951168 is (a) 1726 (b) 2526 (c) 1316 (d) 1516 |
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Answer» The simplest form of 10951168 is (a) 1726 (b) 2526 (c) 1316 (d) 1516 |
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| 14495. |
Question 8On a common hypotenuse AB, two right angled triangles, ACB and ADB are situated on opposite sides. Prove that ∠BAC=∠BDC |
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Answer» Question 8 On a common hypotenuse AB, two right angled triangles, ACB and ADB are situated on opposite sides. Prove that ∠BAC=∠BDC |
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| 14496. |
cos Acot A+sin A= ? |
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Answer» cos Acot A+sin A= ? |
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| 14497. |
The total surface area in m2 of a cuboid with dimensions of 26m, 14m, and 6.5m respectively is ___m2. |
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Answer» The total surface area in m2 of a cuboid with dimensions of 26m, 14m, and 6.5m respectively is |
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| 14498. |
Given A=[4sin30∘cos0∘cos0∘4sin30∘] and B=[45] If AX=B. Find the matrix X. |
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Answer» Given A=[4sin30∘cos0∘cos0∘4sin30∘] and B=[45] If AX=B. Find the matrix X. |
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| 14499. |
Let there be an A.P. with first term 'a', common difference 'd'. If an denotes in nth term and Sn the sum of first n terms, find.(i) n and Sn, if a = 5, d = 3 and an = 50.(ii) n and a, if an = 4, d = 2 and Sn = −14.(iii) d, if a = 3, n = 8 and Sn = 192.(iv) a, if an = 28, Sn = 144 and n= 9.(v) n and d, if a = 8, an = 62 and Sn = 210(vi) n and an, if a= 2, d = 8 and Sn = 90. |
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Answer» Let there be an A.P. with first term 'a', common difference 'd'. If an denotes in nth term and Sn the sum of first n terms, find. (i) n and Sn, if a = 5, d = 3 and an = 50. (ii) n and a, if an = 4, d = 2 and Sn = −14. (iii) d, if a = 3, n = 8 and Sn = 192. (iv) a, if an = 28, Sn = 144 and n= 9. (v) n and d, if a = 8, an = 62 and Sn = 210 (vi) n and an, if a= 2, d = 8 and Sn = 90. |
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| 14500. |
On 1st January, 2019, Ram of Kolkata commenced business with a capital of ₹ 50,000 and entered into following transactions:Pass the following transactions through proper books to the Ledger. Take out a Trial Balance as on 31st January, 2019. The Cash Book must be balanced. 2019 ₹ Jan. 1 Opened a Bank Account and Deposited 12,500 Purchased Goods against Cash Payment* 20,000 Purchased furniture for Shop* 5,000 Sold goods to R. Raman, Kolkata* 5,000 Jan. 2 Bought goods from Man Mohan, Delhi** 10,000 Jan. 3 Bought stationery and paid by cash 1,000 Jan. 5 Received cash from R. Raman 5,300 Discount allowed to him 300 Jan. 6 Sold goods to Bimal, Kolkata* 7,500 Jan. 8 Bimal returned part of the goods supplied on the 6th instant 1,500 Jan. 10 Paid cash into bank 1,000 Jan. 12 Paid wages 1,500 Jan. 13 Bought on credit from the Union Furniture Co., Kolkata office desk* 1,500 Jan. 19 Paid wages 1,500 Jan. 21 Paid to Man Mohan by cheque 10,700 Discount received 500 Jan. 21 Sold goods to Ramesh, Guwahati including IGST** 6,720 Jan. 22 Received cheque from Bimal 6,000 Jan. 23 Bought goods from Man Mohan, Delhi** 7,000 Jan. 24 Drew by cheque for personal use 2,000 Jan. 27 Paid wages 1,500 Jan. 31 Rent due to landlord* 1,000 Transactions marked with (*) are intra-state transactions subject to CGST and SGST 6% each.Transactions marked with (**) are inter-state transactions subject to IGST 12%. |
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Answer» On 1st January, 2019, Ram of Kolkata commenced business with a capital of ₹ 50,000 and entered into following transactions: Pass the following transactions through proper books to the Ledger. Take out a Trial Balance as on 31st January, 2019. The Cash Book must be balanced.
Transactions marked with (*) are intra-state transactions subject to CGST and SGST 6% each. Transactions marked with (**) are inter-state transactions subject to IGST 12%. |
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cm, AC = 12 cm and BC = 6 cm.