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.
| 13401. |
A coin is tossed thrice find probablity of 1 )almost 2 heads 2)no head 3)exactly 2 heads |
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Answer» A coin is tossed thrice find probablity of 1 )almost 2 heads 2)no head 3)exactly 2 heads |
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| 13402. |
The HCF of two co-primes is(a) the smaller number(b) the larger number(c) product of the numbers(d) 1 |
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Answer» The HCF of two co-primes is (a) the smaller number (b) the larger number (c) product of the numbers (d) 1 |
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| 13403. |
Question 14In figure , PA, QB, RC and SD are all perpendiculars to a line l, AB = 6cm, BC = 9cm, CD = 12cm and SP = 36cm. Find PQ, QR and RS. |
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Answer» Question 14 In figure , PA, QB, RC and SD are all perpendiculars to a line l, AB = 6cm, BC = 9cm, CD = 12cm and SP = 36cm. Find PQ, QR and RS. ![]() |
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| 13404. |
Trial Balance of a business as at 31st March, 2018 is given below: Particulars Dr. (₹) Particulars Cr. (₹) Stock on 1st April, 2017 25,000 Sales 2,27,800 Furniture 8,000 Commission 500 Plant and Machinery 1,50,000 Returns Outward 1,000 Debtors 30.000 Creditors 40,000 Wages 12,000 Capital 1,50,000 Salaries 20,000 Bad Debts 1,000 Purchases 1,20,000 Electricity Charges 1,200 Telephone Charges 2,400 General Expenses 3,000 Postage Expenses 1,800 Returns Inward 900 Insurance Premium 1,500 Cash in Hand 2,500 Cash at Bank 40,000 4,19,300 4,19,300 Prepare Trading and Profit and Loss Account for the year ended 31st March, 2018 and Balance Sheet as at that date after taking into account the following adjustments:(i) Closing Stock was valued at ₹7,000.(ii) Outstanding liabilities for wages were ₹600 and salaries ₹1,400.(iii) Depreciation is to be provided 5% p.a. on all fixed assets.(iv) Included in Plant and Machinery is a machine purchased for ₹10,000 on 1st October, 2017.(v) Insurance premium paid in advance ₹200. |
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Answer» Trial Balance of a business as at 31st March, 2018 is given below:
Prepare Trading and Profit and Loss Account for the year ended 31st March, 2018 and Balance Sheet as at that date after taking into account the following adjustments: |
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| 13405. |
If A = [ x:x is a multiple of 3] and B = [x:x is a multiple of 5] , then A - B is (¯A means complement of A) |
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Answer» If A = [ x:x is a multiple of 3] and B = [x:x is a multiple of 5] , then A - B is (¯A means complement of A) |
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| 13406. |
If x1=√a+3b+√a−3b√a+3b−√a−3b then, which one of the following statements is true? |
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Answer» If x1=√a+3b+√a−3b√a+3b−√a−3b then, which one of the following statements is true? |
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| 13407. |
In Δ ABC, if D is a point on side AB such that ABAD=3. Then ADDB = . |
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Answer» In Δ ABC, if D is a point on side AB such that ABAD=3. Then ADDB = |
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| 13408. |
It is found that on walking x meters towards a chimney in a horizontal line through its base, the elevation of its top changes from 30° to 60°. The height of the chimney is(a) 32x(b) 23x(c) 32x(d) 23x |
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Answer» It is found that on walking x meters towards a chimney in a horizontal line through its base, the elevation of its top changes from 30° to 60°. The height of the chimney is (a) (b) (c) (d) |
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| 13409. |
A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm. |
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Answer» A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm. |
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| 13410. |
When polynomial f(x) is divided by (x-1) and (x-2) it leaves remainder 5 and 7 respectively.What is the remainder when f(x) is divided by (x-1)(x-2)? |
| Answer» When polynomial f(x) is divided by (x-1) and (x-2) it leaves remainder 5 and 7 respectively.What is the remainder when f(x) is divided by (x-1)(x-2)? | |
| 13411. |
If the LCM of a and 18 is 36 and the HCF of a and 18 is 2, then a =(a) 2(b) 3(c) 4(d) 1 |
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Answer» If the LCM of a and 18 is 36 and the HCF of a and 18 is 2, then a = (a) 2 (b) 3 (c) 4 (d) 1 |
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| 13412. |
If verify that (A + B)′ = A′ + B′ |
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Answer» If |
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| 13413. |
A line 5x + 3y + 15 = 0 meets y - axis at point P. Find the co-ordinates of point P. Find the equation of a line through P and perpendicular to x - 3y + 4 = 0. |
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Answer» A line 5x + 3y + 15 = 0 meets y - axis at point P. Find the co-ordinates of point P. Find the equation of a line through P and perpendicular to x - 3y + 4 = 0. |
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| 13414. |
Find the area of a rectangle, if the length of the rectangle is x and the breadth is twice the length the area of the rectangle? |
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Answer» Find the area of a rectangle, if the length of the rectangle is x and the breadth is twice the length the area of the rectangle? |
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| 13415. |
Find the total surface area in m2 of a cuboid with dimensions of 26m, 14m and 6.5m respectively. |
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Answer» Find the total surface area in m2 of a cuboid with dimensions of 26m, 14m and 6.5m respectively. |
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| 13416. |
Anna deposited ₹200 per month for 36 months in a bank's recurring deposit account. If the bank pays interest at the rate of 11% per annum, find the amount(in ₹) she gets on maturity. 8421 |
Answer» Anna deposited ₹200 per month for 36 months in a bank's recurring deposit account. If the bank pays interest at the rate of 11% per annum, find the amount(in ₹) she gets on maturity.
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| 13417. |
A man in a boat rowing away from a lighthouse 100 m high takes 2 minutes to change the angle of elevation of the top of the light house from 60° to 30°. Find the speed of the boat in metres per minute. [Use 3 = 1.732.] |
| Answer» A man in a boat rowing away from a lighthouse 100 m high takes 2 minutes to change the angle of elevation of the top of the light house from 60° to 30°. Find the speed of the boat in metres per minute. [Use = 1.732.] | |
| 13418. |
Find the cost of fencing a square park of side 250 m at the rate of Rs 20 per metre. |
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Answer»
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| 13419. |
Metal spheres, each of the radius 2 cm, are packed into a rectangular box of internal dimension 16 cm × 8 cm × 8 cm when 16 spheres are packed the box is filled with preservative liquid. Find the volume of this liquid. |
| Answer» Metal spheres, each of the radius 2 cm, are packed into a rectangular box of internal dimension 16 cm × 8 cm × 8 cm when 16 spheres are packed the box is filled with preservative liquid. Find the volume of this liquid. | |
| 13420. |
Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation. |
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Answer» Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation. |
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| 13421. |
Find k for which the system kx-y=2 and 6x-2y=3 has a unique solution. |
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Answer» Find k for which the system kx-y=2 and 6x-2y=3 has a unique solution. |
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| 13422. |
Question 7 Prove that, if x and y are both odd positive integers then x2+y2 is even but not divisible by 4. |
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Answer» Question 7 Prove that, if x and y are both odd positive integers then x2+y2 is even but not divisible by 4. |
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| 13423. |
In Fig. ABCD is a trapezium of area 24.5 cm2. In it, AD∥BC, ∠DAB=90∘, AD = 10 cm and BC = 4 cm. If ABE is a quadrant of a circle, find the area of the shaded region. (Take π=227) |
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Answer» In Fig. ABCD is a trapezium of area 24.5 cm2. In it, AD∥BC, ∠DAB=90∘, AD = 10 cm and BC = 4 cm. If ABE is a quadrant of a circle, find the area of the shaded region. (Take π=227)
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| 13424. |
If twice the 11th term of an A.P is equal to 7 times of its 21st terms, then the value of 25th term is ___________. |
| Answer» If twice the 11th term of an A.P is equal to 7 times of its 21st terms, then the value of 25th term is ___________. | |
| 13425. |
If x = 2, what is y in 3x - 4y = 10 ? |
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Answer» If x = 2, what is y in 3x - 4y = 10 ? |
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| 13426. |
Find the value of k, if x−1 is a factor of p(x) in the following case: p(x)=kx2−√2x+1 |
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Answer» Find the value of k, if x−1 is a factor of p(x) in the following case: p(x)=kx2−√2x+1 |
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| 13427. |
Find the area of the circle with positive x–axis & x^2+y^2=a^2. |
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Answer» Find the area of the circle with positive x–axis & x^2+y^2=a^2. |
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| 13428. |
The sum of first 20 odd natural numbers is(a) 100(b) 210(c) 400(d) 420 |
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Answer» The sum of first 20 odd natural numbers is (a) 100 (b) 210 (c) 400 (d) 420 |
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| 13429. |
Samaira heard 3 bells toll together at 10:00 AM. The first bell tolls after every 5 second, the second tolls after every 9 seconds and the third tolls after every 10 seconds. When will they toll together again? |
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Answer» Samaira heard 3 bells toll together at 10:00 AM. The first bell tolls after every 5 second, the second tolls after every 9 seconds and the third tolls after every 10 seconds. When will they toll together again? |
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| 13430. |
Find the area of the triangle PQR with Q (3, 2) and the mid-points of the sides through Q being (2, -1) and (1, 2). |
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Answer» Find the area of the triangle PQR with Q (3, 2) and the mid-points of the sides through Q being (2, -1) and (1, 2). |
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| 13431. |
Find the mean for the following data: Daily wages (in ₹)90100110120130140150Number of Employees1213645 |
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Answer» Find the mean for the following data: |
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| 13432. |
Identify the major segment in the image.(Tap on the correct color) |
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Answer» Identify the major segment in the image.(Tap on the correct color) |
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| 13433. |
If the ratio of the volumes of two spheres is 8 : 27, then the ratio of their surface areas is __________. |
| Answer» If the ratio of the volumes of two spheres is 8 : 27, then the ratio of their surface areas is __________. | |
| 13434. |
AB is the diameter of a circle, centre O, C is a point on the circumference such that ∠COB = θ. The area of the minor segment cut off by AC is equal to twice the area of the sector BOC. Prove thatsinθ2cosθ2=π12-θ120 |
Answer» AB is the diameter of a circle, centre O, C is a point on the circumference such that ∠COB = . The area of the minor segment cut off by AC is equal to twice the area of the sector BOC. Prove that
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| 13435. |
An urn contains 3 white and 6 red balls. Four balls are drawn one by one with replacement from the urn. Find the probability distribution of the number of red balls drawn. Also find mean and variance of the distribution. |
| Answer» An urn contains 3 white and 6 red balls. Four balls are drawn one by one with replacement from the urn. Find the probability distribution of the number of red balls drawn. Also find mean and variance of the distribution. | |
| 13436. |
If two chords AB and CD intersect externally at P and if AB = 4, PB = 5, PD = 3, then find the value of CD. |
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Answer» If two chords AB and CD intersect externally at P and if AB = 4, PB = 5, PD = 3, then find the value of CD. |
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| 13437. |
Question 3 Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at the point O. Using a similarity criterion for two triangles, show that AOOC=OBOD. |
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Answer» Question 3 Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at the point O. Using a similarity criterion for two triangles, show that AOOC=OBOD. |
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| 13438. |
Three chairs and two tables cost Rs 1850. Five chairs and three tables cost Rs 2850. The total cost of one chair and one table is |
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Answer» Three chairs and two tables cost Rs 1850. Five chairs and three tables cost Rs 2850. The total cost of one chair and one table is |
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| 13439. |
Quantity(In Kg)/Price12345Gummy bear20406080100Candies306090120150Chocolates50100150200250 According to the information given what is the total price of 6 kg of all the items? |
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Answer» Quantity(In Kg)/Price12345Gummy bear20406080100Candies306090120150Chocolates50100150200250 |
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| 13440. |
{ For what values of }k, the roots of the equation }x^2+4x+k=0 are real? }} Or |
| Answer» { For what values of }k, the roots of the equation }x^2+4x+k=0 are real? }} Or | |
| 13441. |
Split 207 into three parts such that these are in A.P. and the product of the two smalled parts is 4623. |
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Answer» Split 207 into three parts such that these are in A.P. and the product of the two smalled parts is 4623. |
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| 13442. |
If the zeroes of the polynomial p(x)=ax3+3bx2+3cx+d are in AP, then 2b3−3abc+a2d is equal to |
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Answer» If the zeroes of the polynomial p(x)=ax3+3bx2+3cx+d are in AP, then 2b3−3abc+a2d is equal to |
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| 13443. |
Unique point is obtained for the pair of equations a1x + b1y + c1 = 0 and a2x +b2y + c2 = 0 if |
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Answer» Unique point is obtained for the pair of equations a1x + b1y + c1 = 0 and a2x +b2y + c2 = 0 if |
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| 13444. |
FIND THE AREA OF THE LARGEST TRIANGLE THAT CAN BE INSCRIBED IN A SEMICIRCLE OF RADIUS 'r'. |
| Answer» FIND THE AREA OF THE LARGEST TRIANGLE THAT CAN BE INSCRIBED IN A SEMICIRCLE OF RADIUS 'r'. | |
| 13445. |
The radii of the ends of a bucket 16 cm height are 20 cm and 8 cm. The curved surface area of the bucket is(a) 1760 cm2(b) 2240 cm2(c) 880 cm2(d) 3120 cm2 |
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Answer» The radii of the ends of a bucket 16 cm height are 20 cm and 8 cm. The curved surface area of the bucket is (a) 1760 cm2 (b) 2240 cm2 (c) 880 cm2 (d) 3120 cm2 |
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| 13446. |
If cos A=725, find the value of tan A + cot A. |
| Answer» If , find the value of tan A + cot A. | |
| 13447. |
A shopkeeper sells an article for a net selling price of Rs 7392, the rate of sales tax being 5%. If a discount of 12% was given on the advertised price, find the advertised price of the article. |
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Answer» A shopkeeper sells an article for a net selling price of Rs 7392, the rate of sales tax being 5%. If a discount of 12% was given on the advertised price, find the advertised price of the article. |
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| 13448. |
The sum of four consecutive numbers in an AP is 32 and the ratio of the product of the first and the last term to the product of two middle terms is 7/ 15 . Find the numbers |
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Answer» The sum of four consecutive numbers in an AP is 32 and the ratio of the product of the first and the last term to the product of two middle terms is 7/ 15 . Find the numbers |
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| 13449. |
Explain why 7 × 11 × 13 + 13 is a composite number. |
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Answer» Explain why 7 × 11 × 13 + 13 is a composite number. |
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| 13450. |
In the given right triangle ABC, right angled at B, the hypotenuse, base and perpendicular are _____________ respectively. |
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