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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.
| 5751. |
If x<0, y<0, then log (xy) is equal to _______________ . |
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Answer» If x<0, y<0, then log (xy) is equal to _______________ . |
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| 5752. |
Question 5 (i)Rationalize the denominator of 1√7 . |
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Answer» Question 5 (i) |
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| 5753. |
Question 2In which of the following figures, you find two polygons on the same base and between the same parallels?A) B) C) D) |
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Answer» Question 2 In which of the following figures, you find two polygons on the same base and between the same parallels? A)  B)  C)  D)  |
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| 5754. |
ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA (see the given figure). AC is a diagonal. Show that:(i) SR || AC and SR = AC(ii) PQ = SR(iii) PQRS is a parallelogram. |
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Answer» ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA (see the given figure). AC is a diagonal. Show that:
(i) SR || AC and SR = (ii) PQ = SR (iii) PQRS is a parallelogram. |
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| 5755. |
In triangles ABC and PQR, if ∠A = ∠R, ∠B = ∠P and AB = RP, then which one of the following congruence conditions applies:(a) SAS(b) ASA(c) SSS(d) RHS |
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Answer» In triangles ABC and PQR, if ∠A = ∠R, ∠B = ∠P and AB = RP, then which one of the following congruence conditions applies: (a) SAS (b) ASA (c) SSS (d) RHS |
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| 5756. |
The fundamental period of the function f(x)=2cos 13(x−π) is |
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Answer» The fundamental period of the function f(x)=2cos 13(x−π) is |
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| 5757. |
In all the paper sizes A0, A1, A2, etc,the ratio of the length of the longer side to that of the shorter side is |
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Answer» In all the paper sizes A0, A1, A2, etc,the ratio of the length of the longer side to that of the shorter side is |
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| 5758. |
As shown in the figure, from a uniform rectangular sheet, a triangular sheet is removed from one edge. The shift of the centre of mass (with respect to O) is |
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Answer» As shown in the figure, from a uniform rectangular sheet, a triangular sheet is removed from one edge. The shift of the centre of mass (with respect to O) is |
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| 5759. |
In the figure below, ∠C = 40∘ and CB = AC. Also, EC is the bisector of AB. Calculate ∠AC in degrees. |
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Answer» In the figure below, ∠C = 40∘ and CB = AC. Also, EC is the bisector of AB. Calculate ∠AC in degrees.
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| 5760. |
In triangle ABC; AB = AC. P, Q and R are mid-points of sides AB, AC and BC respectively. Prove that : (i) PR = QR (ii) BQ = CP |
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Answer» In triangle ABC; AB = AC. P, Q and R are mid-points of sides AB, AC and BC respectively. Prove that : |
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| 5761. |
28. ABCD is a parallelogram and X and Y are the mid-points of BC and CD respectively. Prove that ar(Δ AXY)=3/8 ar(||gm ABCD). |
| Answer» 28. ABCD is a parallelogram and X and Y are the mid-points of BC and CD respectively. Prove that ar(Δ AXY)=3/8 ar(||gm ABCD). | |
| 5762. |
Question 4 A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball? If 6 more black balls are put in the box, the probability of drawing a black ball is now double of what it was before. Find x. |
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Answer» Question 4 A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball? If 6 more black balls are put in the box, the probability of drawing a black ball is now double of what it was before. Find x. |
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| 5763. |
prove that \sqrt{8+6i}-\sqrt{8-6i}=2i |
| Answer» prove that \sqrt{8+6i}-\sqrt{8-6i}=2i | |
| 5764. |
Given below are four jumbled sentences. Select the option that gives their correct order.(1) By reasoning, we mean the mental process of drawing an inference from two or more statements or going from the inference to the statements, which yield that inference.(2) So logical reasoning covers those types of questions, which imply drawing an inference from the problems.(3) Logic means, if we take its original meaning, the science of valid reasoning.(4) Clearly, for understanding arguments and for drawing the inference correctly, it is necessary that we should understand the statements first. |
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Answer» Given below are four jumbled sentences. Select the option that gives their correct order. |
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| 5765. |
In the given figure, show that AB || EF. |
Answer» In the given figure, show that AB || EF.
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| 5766. |
Construct quadrilateral LIFT LI = 4 cm, IF = 3 cm, TL = 2.5 cm, LF = 4.5 cm, and IT = 4 cm. |
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Answer» Construct quadrilateral LIFT LI = 4 cm, IF = 3 cm, TL = 2.5 cm, LF = 4.5 cm, and IT = 4 cm. |
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| 5767. |
Points A(1,0), B(5,0), C(7,6) and D(3,6) are joined to form a quadrilateral ABCD. Point B(5,0) is joined with E(5,6) and A(1,0) is joined with F(1,6). Quadrilateral ABEF is completed. BD and AE is joined to intersect at O. Which of the following is correct? |
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Answer» Points A(1,0), B(5,0), C(7,6) and D(3,6) are joined to form a quadrilateral ABCD. Point B(5,0) is joined with E(5,6) and A(1,0) is joined with F(1,6). Quadrilateral ABEF is completed. BD and AE is joined to intersect at O. Which of the following is correct? |
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| 5768. |
Question 9The length of the longest pole that can be put in a room of dimensions (10m×10m×5m) is:A) 15 mB) 16 mC) 10 mD) 12 m |
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Answer» Question 9 The length of the longest pole that can be put in a room of dimensions (10m×10m×5m) is: A) 15 m B) 16 m C) 10 m D) 12 m |
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| 5769. |
Divide x6−y6 by the product of x2+xy+y2 and x−y. |
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Answer» Divide x6−y6 by the product of x2+xy+y2 and x−y. |
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| 5770. |
In the figure shown, the segment CEDC is called the ___ segment. |
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Answer» In the figure shown, the segment CEDC is called the
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| 5771. |
prove that (\sqrt2 +\sqrt5 is a irrational numbe |
| Answer» prove that (\sqrt2 +\sqrt5 is a irrational numbe | |
| 5772. |
how can 1080*10^8 become 1.080*10^11 |
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Answer» how can 1080*10^8 become 1.080*10^11 |
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| 5773. |
Question 12 If x+1 is a factor of the polynomial 2x2+kx, then the value of k is A) -3 B) 4 C) 2 D) -2 |
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Answer» Question 12 If x+1 is a factor of the polynomial 2x2+kx, then the value of k is A) -3 B) 4 C) 2 D) -2 |
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| 5774. |
A cuboidal water tank measuring 80 cm × 60 cm × 60 cm is filled from a pipe of cross sectional area 1.5 cm2. If speed of water is 3.2 m/s, then how long does it take to fill the tank? |
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Answer» A cuboidal water tank measuring 80 cm × 60 cm × 60 cm is filled from a pipe of cross sectional area 1.5 cm2. If speed of water is 3.2 m/s, then how long does it take to fill the tank? |
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| 5775. |
Prove that the quadrilateral formed by angle bisectors of a cyclic quadrilateral ABCD is also cyclic. [4 MARKS] |
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Answer» Prove that the quadrilateral formed by angle bisectors of a cyclic quadrilateral ABCD is also cyclic. [4 MARKS]
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| 5776. |
Match the following decimal forms to their correct pq form. |
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Answer» Match the following decimal forms to their correct pq form. |
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| 5777. |
If the edge length of a square is 2 units, the area of the square is ___ square units. |
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Answer» If the edge length of a square is 2 units, the area of the square is |
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| 5778. |
If two circles intersect at two distinct points, there are ___ tangents that are common to both the circles. |
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Answer» If two circles intersect at two distinct points, there are |
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| 5779. |
What is the area of an equilateral triangle whose side is 8cm?Also find the corresponding altitude of the base. [4 MARKS] |
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Answer» What is the area of an equilateral triangle whose side is 8cm?Also find the corresponding altitude of the base. [4 MARKS] |
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| 5780. |
Write thefraction representing the shaded portion. (i) (ii) (iii) (iv) (v) (vi) (vii) (viii) (ix) (x) |
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Answer» Write the
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| 5781. |
Draw an angle of 80∘ with the help of a protractor and disect it. Measure each part of the bisected angle. |
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Answer» Draw an angle of 80∘ with the help of a protractor and disect it. Measure each part of the bisected angle. |
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| 5782. |
The daily minimum temperatures in degrees Celsius recorded in a certain Arctic region are as follows:− 12.5, −10.8, −18.6, −8.4, −10.8, −4.2, −4.8, −6.7, −13.2, −11.8, −2.3, 1.2, 2.6, 0, −2.4, 0, 3.2, 2.7, 3.4, 0, −2.4, −2.4, 0, 3.2, 2.7, 3.4, 0, −2.4, −5.8, −8.9, −14.6, −12.3, −11.5, −7.8, −2.9.Represent them as frequency distribution table taking −19.9 to − 15 as the first class interval. |
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Answer» The daily minimum temperatures in degrees Celsius recorded in a certain Arctic region are as follows: − 12.5, −10.8, −18.6, −8.4, −10.8, −4.2, −4.8, −6.7, −13.2, −11.8, −2.3, 1.2, 2.6, 0, −2.4, 0, 3.2, 2.7, 3.4, 0, −2.4, −2.4, 0, 3.2, 2.7, 3.4, 0, −2.4, −5.8, −8.9, −14.6, −12.3, −11.5, −7.8, −2.9. Represent them as frequency distribution table taking −19.9 to − 15 as the first class interval. |
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| 5783. |
The equation of X-Axis is |
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Answer» The equation of X-Axis is |
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| 5784. |
A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train. |
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Answer» A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train. |
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| 5785. |
Debtors in the beginning of the year were ₹ 30,000, Sales on credit during the year were ₹ 75,000, Cash received from the Debtors during the year was ₹ 35,000, Returns Inward (regarding credit sales) were ₹ 5,000 and Bills Receivable drawn during the year were ₹ 25,000. Find the balance of Debtors at th end of the year, assuming that there were Bad Debts during the year of ₹ 2,000. |
| Answer» Debtors in the beginning of the year were ₹ 30,000, Sales on credit during the year were ₹ 75,000, Cash received from the Debtors during the year was ₹ 35,000, Returns Inward (regarding credit sales) were ₹ 5,000 and Bills Receivable drawn during the year were ₹ 25,000. Find the balance of Debtors at th end of the year, assuming that there were Bad Debts during the year of ₹ 2,000. | |
| 5786. |
The monthly wages of 30 workers in a factory are given below:83.0, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 836, 878, 840, 868, 890, 806, 840, 890.Represent the data in the form of a frequency distribution with class size 10. |
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Answer» The monthly wages of 30 workers in a factory are given below: 83.0, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 836, 878, 840, 868, 890, 806, 840, 890. Represent the data in the form of a frequency distribution with class size 10. |
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| 5787. |
ABCD is a parallelogram in which P is the midpoint of DC and Q is a point on AC such that CQ = 14 AC. If PQ produced meets BC at R, prove that R is the midpoint of BC. |
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Answer» ABCD is a parallelogram in which P is the midpoint of DC and Q is a point on AC such that CQ = 14 AC. If PQ produced meets BC at R, prove that R is the midpoint of BC.
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| 5788. |
Rahul wants to mark five points on a sheet of paper. What is the maximum number of points that can be collinear, if he wants to make a triangle by joining those points? |
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Answer» Rahul wants to mark five points on a sheet of paper. What is the maximum number of points that can be collinear, if he wants to make a triangle by joining those points? |
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| 5789. |
Question 6m−m−12=1−m−23 |
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Answer» Question 6 m−m−12=1−m−23 |
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| 5790. |
The cost of painting the total outside surface of a closed cylindrical oil tank at 50 paise per square decimetre is Rs. 198. The height of the tank is 6 times the radius of the base of the tank. Find the volume corrected to 2 decimal places. |
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Answer» The cost of painting the total outside surface of a closed cylindrical oil tank at 50 paise per square decimetre is Rs. 198. The height of the tank is 6 times the radius of the base of the tank. Find the volume corrected to 2 decimal places. |
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| 5791. |
If 2a=3b=6c, then c= . |
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Answer» If 2a=3b=6c, then c= |
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| 5792. |
A juice seller fills juice into cylindrical glasses from a big cylindrical container of height 35.2 cm and radius 10 cm. He charges ₹10/- for a glass of height 10 cm and radius 4 cm. The amount he earns by selling the juice is ____.(Use π=227) |
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Answer» A juice seller fills juice into cylindrical glasses from a big cylindrical container of height 35.2 cm and radius 10 cm. He charges ₹10/- for a glass of height 10 cm and radius 4 cm. The amount he earns by selling the juice is ____. |
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| 5793. |
The ratio between exterior angle and interior angle of a regular polygon is 1 : 5. Find the number of sides of the polygon. |
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Answer» The ratio between exterior angle and interior angle of a regular polygon is 1 : 5. Find the number of sides of the polygon. |
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| 5794. |
A storage tank is in the form of a cube. When it is full of water, the volume of water is 15.625 m3. If the present depth of water is 1.3 m, then find the volume of water already used from the tank. |
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Answer» A storage tank is in the form of a cube. When it is full of water, the volume of water is 15.625 m3. If the present depth of water is 1.3 m, then find the volume of water already used from the tank. |
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| 5795. |
In the given figure, ABCD and FECG are parallelograms equal in area. If ar (ΔAQE) = 12 cm2, then ar (||gm FGBQ) =(a) 12 cm2(b) 20 cm2(c) 24 cm2(d) 36 cm2 |
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Answer» In the given figure, ABCD and FECG are parallelograms equal in area. If ar (ΔAQE) = 12 cm2, then ar (||gm FGBQ) = (a) 12 cm2 (b) 20 cm2 (c) 24 cm2 (d) 36 cm2
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| 5796. |
Present the following as an ordinary grouped frequency table: Marks (below)102030405060(Number of students)51232404548 |
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Answer» Present the following as an ordinary grouped frequency table: |
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| 5797. |
ABCD is a quadrilateral and BD is one of its diagonals as shown in the following figure. Find the area of quadrilateral ABCD. |
Answer» ABCD is a quadrilateral and BD is one of its diagonals as shown in the following figure. Find the area of quadrilateral ABCD. |
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| 5798. |
The area of the triangle formed by the points P(0,1) , Q(0, 5) and R(3, 4) is |
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Answer» The area of the triangle formed by the points P(0,1) , Q(0, 5) and R(3, 4) is |
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| 5799. |
In the figure, if ∠B=∠Q, then: |
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Answer» In the figure, if ∠B=∠Q, then:
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| 5800. |
From the following information and Receipts and Payments Account of Delhi Medical Society, prepare Income and Expenditure Account for the year ended 31st March, 2018 and Balance Sheet as at that date. RECEIPTS AND PAYMENTS ACCOUNT for the year ended 31st March, 2018 Dr. Cr. Receipts (₹) Payments (₹) To Balance b/d 31,900 By Rent 16,800 To Entrance Fees 5,500 By Wages 24,500 To Subscriptions 1,80,000 By Lighting Charges 7,200 To Donations 16,500 By Books 24,800 To Life Membership Fees 25,000 By Medicines (Polio Eradication Project) 1,00,000 To Government Grant (Polio Eradication Project) 2,00,000 By Salaries to Doctors(Polio Eradication Project) 80,000 To Proceeds of Seminar 23,200 By Office Expenses 45,000 To Interest on Deposits 2,400 By 8% Fixed Deposits 1,20,000 (On 1st October, 2017) By Seminar Expenses 20,200 By Cash in Hand 26,000 By Bank A/c (Polio Eradication Project) 20,000 4,84,500 4,84,500 Other information:On 31st March, 2017, the club possessed books of ₹ 2,00,000 and Furniture of ₹ 85,000. Provide depreciation on these assets 10% including the purchases during the year.Subscriptions in arrears in the beginning of the year amounted to ₹ 3,500 and at the end of the year ₹ 5,500 were outstanding.The Club paid three months' rent in advance both in the beginning and at the end of the year. |
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Answer» From the following information and Receipts and Payments Account of Delhi Medical Society, prepare Income and Expenditure Account for the year ended 31st March, 2018 and Balance Sheet as at that date.
Other information: On 31st March, 2017, the club possessed books of ₹ 2,00,000 and Furniture of ₹ 85,000. Provide depreciation on these assets 10% including the purchases during the year. Subscriptions in arrears in the beginning of the year amounted to ₹ 3,500 and at the end of the year ₹ 5,500 were outstanding. The Club paid three months' rent in advance both in the beginning and at the end of the year. |
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AC
