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.
| 2851. |
The solution of the following pair of equations: 2x + 3y = 11 and 2x - 4y = -24 is ___. Write your answer in the form (x, y) |
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Answer» The solution of the following pair of equations: 2x + 3y = 11 and 2x - 4y = -24 is Write your answer in the form (x, y) |
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| 2852. |
Question 126 (c) Architects design many types of buildings. They draw plans for houses, such as the plant shown in the following figure. An architect wants to install a decorative moulding around the ceilings in the rooms. The decorative moulding costs ₹ 500/ meter. What is the total cost of moulding for all the five rooms? |
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Answer» Question 126 (c) Architects design many types of buildings. They draw plans for houses, such as the plant shown in the following figure.
An architect wants to install a decorative moulding around the ceilings in the rooms. The decorative moulding costs ₹ 500/ meter. What is the total cost of moulding for all the five rooms? |
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| 2853. |
Which of the following pair is a solution of the equation 2x - 3y = 7 |
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Answer» Which of the following pair is a solution of the equation 2x - 3y = 7 |
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| 2854. |
Ifa,b are thezeroes ofpolynomial f(x)=x^2 -p(x+1)-c, then (a+1)(b+1)= |
| Answer» Ifa,b are thezeroes ofpolynomial f(x)=x^2 -p(x+1)-c, then (a+1)(b+1)= | |
| 2855. |
ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠DBC=70∘,∠BAC is 30∘, find ∠BCD . Further, if AB = BC, find ∠ECD. |
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Answer» ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠DBC=70∘,∠BAC is 30∘, find ∠BCD . Further, if AB = BC, find ∠ECD. |
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| 2856. |
If LCM of two numbers is equal to the greater number, then its HCF ____. |
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Answer» If LCM of two numbers is equal to the greater number, then its HCF ____. |
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| 2857. |
The value of ∣∣∣∣23713175152012∣∣∣∣2 is |
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Answer» The value of ∣∣ ∣∣23713175152012∣∣ ∣∣2 is |
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| 2858. |
35. The sum of length,breadth and depth of a cuboid is 19cm and the length of its diagonal is 11cm.Find the total surface area. |
| Answer» 35. The sum of length,breadth and depth of a cuboid is 19cm and the length of its diagonal is 11cm.Find the total surface area. | |
| 2859. |
Select the appropriate option for the blanks. The observer ____ realised that the ____ were smarter than the people of ____ generation. |
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Answer» Select the appropriate option for the blanks. The observer ____ realised that the ____ were smarter than the people of ____ generation. |
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| 2860. |
Consider the following three statements:P : 5 is a prime number.Q : 7 is a factor of 192.R : L.C.M. of 5 and 7 is 35. Then the truth value of which one of the following statements is true? |
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Answer» Consider the following three statements: |
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| 2861. |
Lalit Mohan keeps incomplete records. From the following information provided by him, prepare a Trading and Profit & Loss Account for the year ended 31st March, 2015 and a Balance Sheet as at that date: 31st March, 2014 31st March, 2015 ₹ ₹ Sundry Debtors 15,000 24,400 Stock 32,000 55,000 Cash 8,400 21,700 Sundry Creditors 22,000 ? Prepaid Expenses Nil 3,600 Unpaid Expenses 1,500 2,200 Furniture 20,000 32,000 Summary of cash transactions during the year: ₹ Receipts from Debtors 2,00,000 Payment to Creditors 1,64,000 Carriage Inwards 3,300 Payment for Life Insurance Premium 15,000 Sundry Expenses 40,000 Furniture purchased for cash 12,000 You are informed that there were considerable amount of cash sales during the year. Credit purchases during the year amounted to ₹ 1,80,000. Provide 5% for doubtful debts on debtors. |
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Answer» Lalit Mohan keeps incomplete records. From the following information provided by him, prepare a Trading and Profit & Loss Account for the year ended 31st March, 2015 and a Balance Sheet as at that date:
Summary of cash transactions during the year:
You are informed that there were considerable amount of cash sales during the year. Credit purchases during the year amounted to ₹ 1,80,000. Provide 5% for doubtful debts on debtors. |
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| 2862. |
Find the integral roots of the polynomial f(x) = x3+6x2 + 11x + 6 |
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Answer» Find the integral roots of the polynomial f(x) = x3+6x2 + 11x + 6 |
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| 2863. |
In given figure △ ABC and △ DEF are similar, BC = 3cm, EF = 4cm, and area of triangle ABC = 54cm2 find the area of △ DEF . |
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Answer» In given figure △ ABC and △ DEF are similar, BC = 3cm, EF = 4cm, and area of triangle ABC = 54cm2 find the area of △ DEF .
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| 2864. |
first it is mentioned that 'dy' should not be considered as "d" multiplied with y,but for the second order derivation for the formula of acceleration, they have considered "d"multiplied with "y".Why it is so?? |
| Answer» first it is mentioned that 'dy' should not be considered as "d" multiplied with y,but for the second order derivation for the formula of acceleration, they have considered "d"multiplied with "y".Why it is so?? | |
| 2865. |
If two parallelograms ABCD and ABEF are on the same base AB and between the same parallels AB and FC, then prove that ar(ABCD) = ar(ABEF) |
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Answer» If two parallelograms ABCD and ABEF are on the same base AB and between the same parallels AB and FC, then prove that ar(ABCD) = ar(ABEF) |
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| 2866. |
Let A be a 3×3 real matrix. If det(2 Adj(2 Adj(Adj(2A))))=241, then the value of det(A2) equals |
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Answer» Let A be a 3×3 real matrix. If det(2 Adj(2 Adj(Adj(2A))))=241, then the value of det(A2) equals |
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| 2867. |
A rhombus, sheet, whose perimeter is 32 m and whose one diagonal is 10 m long, is painted on both sides at the rate of Rs 5 per m2. Find the cost of painting. |
| Answer» A rhombus, sheet, whose perimeter is 32 m and whose one diagonal is 10 m long, is painted on both sides at the rate of Rs 5 per m2. Find the cost of painting. | |
| 2868. |
Factorise:21x2-2x+121 |
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Answer» Factorise: |
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| 2869. |
In a triangle ABC, E is the mid-point of median AD. Show that ar (ΔBED) = 14ar(ΔABC) [2 MARKS] |
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Answer» In a triangle ABC, E is the mid-point of median AD. Show that ar (ΔBED) = 14ar(ΔABC) [2 MARKS] |
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| 2870. |
In the given figure, the three acute angles present are ___ |
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Answer» In the given figure, the three acute angles present are ___
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| 2871. |
Question 6In figure, ABCD is a trapezium with AB∥DC. AB = 18 cm, DC = 32 cm and distance between AB and DC = 14 cm. If arcs of equal radii 7 cm with centres A, B, C and D have been drawn , then find the area of the shaded region of the figure. |
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Answer» Question 6 In figure, ABCD is a trapezium with AB∥DC. AB = 18 cm, DC = 32 cm and distance between AB and DC = 14 cm. If arcs of equal radii 7 cm with centres A, B, C and D have been drawn , then find the area of the shaded region of the figure. ![]() |
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| 2872. |
In the following diagram, if AC = AB, then CFBE is equal to _______. |
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Answer» In the following diagram, if AC = AB, then CFBE is equal to _______. |
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| 2873. |
The points (2,0) (-3,0) (5,0) and (0,0) all lie on the |
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Answer» The points (2,0) (-3,0) (5,0) and (0,0) all lie on the |
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| 2874. |
A motorbike was sold by a showroom for ₹ 80,000. The owner then sold this bike at ₹ 60,000. Find the percentage of profit or loss. |
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Answer» A motorbike was sold by a showroom for ₹ 80,000. The owner then sold this bike at ₹ 60,000. Find the percentage of profit or loss. |
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| 2875. |
Segment of a circle is the region between an arc and ………..of the circle. |
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Answer» Segment of a circle is the region between an arc and ………..of the circle. |
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| 2876. |
Statements : All tigers are ships. Some ships are cupboards. Conclusions : I. Some tigers are cupboards. II. Some cupboards are ships. |
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Answer» Statements : All tigers are ships. Some ships are cupboards. Conclusions : I. Some tigers are cupboards. II. Some cupboards are ships. |
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| 2877. |
In the given figure, DC is diameter then N = ___. |
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Answer» In the given figure, DC is diameter then N = ___. |
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| 2878. |
If d(Q,R) = 25, d(P,R) = 45, what should be the value of d(P,Q) if the points P, Q, and R are on the same straight line and Q lies in between P and R? |
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Answer» If d(Q,R) = 25, d(P,R) = 45, what should be the value of d(P,Q) if the points P, Q, and R are on the same straight line and Q lies in between P and R? |
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| 2879. |
In ∆ABC, AD is a median. Prove that AB2 + AC2 = 2AD2 + 2DC2. |
| Answer» In ∆ABC, AD is a median. Prove that AB2 + AC2 = 2AD2 + 2DC2. | |
| 2880. |
In a quadrilateral ABCD, AC = 15 cm. The perpendiculars drawn from B and D respectively to AC measure 8.2 cm and 9.1 cm. Find the area of the quadrilateral |
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Answer» In a quadrilateral ABCD, AC = 15 cm. The perpendiculars drawn from B and D respectively to AC measure 8.2 cm and 9.1 cm. Find the area of the quadrilateral |
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| 2881. |
If the area of an isoceles triangle is 8 cm, what is its perimeter |
| Answer» If the area of an isoceles triangle is 8 cm, what is its perimeter | |
| 2882. |
If x − 2 is a factor of each of the following two polynomials, find the values of a in each case(i) x3 − 2ax2 + ax − 1(ii) x5 − 3x4 − ax3 + 3ax2 + 2ax + 4 |
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Answer» If x − 2 is a factor of each of the following two polynomials, find the values of a in each case (i) x3 − 2ax2 + ax − 1 (ii) x5 − 3x4 − ax3 + 3ax2 + 2ax + 4 |
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| 2883. |
Question 12A villager Itwaari has a plot of land of the shape of a quadrilateral. The GramPanchayat of the village decided to take over some portion of his plot from one of the corners to construct a Health Centre. Itwaari agrees to the above proposal with the condition that he should be given the equal amount of land in lieu of his land adjoining his plot so as to form a triangular plot. Explain how this proposal will be implemented. |
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Answer» Question 12 A villager Itwaari has a plot of land of the shape of a quadrilateral. The Gram Panchayat of the village decided to take over some portion of his plot from one of the corners to construct a Health Centre. Itwaari agrees to the above proposal with the condition that he should be given the equal amount of land in lieu of his land adjoining his plot so as to form a triangular plot. Explain how this proposal will be implemented. |
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| 2884. |
The quadrilateral formed by joining the mid-points of consecutive sides of a rectangle ABCD, taken in order, is a rhombus. |
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Answer» The quadrilateral formed by joining the mid-points of consecutive sides of a rectangle ABCD, taken in order, is a rhombus. |
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| 2885. |
A spherical ball of lead 3 cm in diameter is melted and recast into three spherical balls. If the diameters of two balls be 32 cm and 2 cm, find the diameter of the third ball. |
| Answer» A spherical ball of lead 3 cm in diameter is melted and recast into three spherical balls. If the diameters of two balls be cm and 2 cm, find the diameter of the third ball. | |
| 2886. |
Factorise 40(3x+4y)(3x+4y) + 14(3x+4y) +1 |
| Answer» Factorise 40(3x+4y)(3x+4y) + 14(3x+4y) +1 | |
| 2887. |
In the given figure, ΔABC and ΔOBC are both isosceles.It can be concluded that: |
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Answer» In the given figure, ΔABC and ΔOBC are both isosceles. |
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| 2888. |
In the given figure, C is the centre of the circle. seg QT is a diameter CT = 13, CP = 5, find the length of chord RS. |
Answer» In the given figure, C is the centre of the circle. seg QT is a diameter CT = 13, CP = 5, find the length of chord RS.
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| 2889. |
In a T-20 cricket match (which is played for 20 overs), runs scored by two teams A & B are given by two line graphs.Which team won the match? |
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Answer» In a T-20 cricket match (which is played for 20 overs), runs scored by two teams A & B are given by two line graphs. Which team won the match? |
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| 2890. |
Given that sample space S = {1, 2, 3, 4, 6} which of the following is the sure event? |
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Answer» Given that sample space S = {1, 2, 3, 4, 6} which of the following is the sure event? |
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| 2891. |
If N=√(√5+2 )+ √(√5-2)/√(√5+1)-√(3-2√2), then N equals |
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Answer» If N=√(√5+2 )+ √(√5-2)/√(√5+1)-√(3-2√2), then N equals |
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| 2892. |
In the given figure, AB || CD || EF and GH || KL. The measure of ∠HKL is(a) 85°(b) 135°(c) 145°(d) 215° |
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Answer» In the given figure, AB || CD || EF and GH || KL. The measure of ∠HKL is (a) 85° (b) 135° (c) 145° (d) 215°
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| 2893. |
ABCD is a square in which the coordinates of A are (-2,4), C are (4,10), D are (-2,10) Find the coordinates of B. |
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Answer» ABCD is a square in which the coordinates of A are (-2,4), C are (4,10), D are (-2,10) Find the coordinates of B. |
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| 2894. |
Question 8Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is:A) 60∘B) 40∘C) 80∘D) 20∘ |
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Answer» Question 8 Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is: A) 60∘ B) 40∘ C) 80∘ D) 20∘ |
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| 2895. |
Write the value of {5(813+2713)3}14 |
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Answer» Write the value of {5(813+2713)3}14 |
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| 2896. |
The volume of the.two ratio is 125:64find the ratio of their radii |
| Answer» The volume of the.two ratio is 125:64find the ratio of their radii | |
| 2897. |
The angle bisector of ∠A divides the side BC of △ABC in the ratio 2:3 and the area of △ABD is 20 cm2. Find the area of △ADC. |
Answer» The angle bisector of ∠A divides the side BC of △ABC in the ratio 2:3 and the area of △ABD is 20 cm2. Find the area of △ADC.![]() |
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| 2898. |
In △XYZ, XY = 4 cm, YZ = 6 cm, XZ = 5 cm, If △XYZ∼△PQR and PQ = 8 cm then find the lengths of remaining sides of △PQR. |
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Answer» In △XYZ, XY = 4 cm, YZ = 6 cm, XZ = 5 cm, If △XYZ∼△PQR and PQ = 8 cm then find the lengths of remaining sides of △PQR. |
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| 2899. |
In a quadrilateral ABCD, AC = 15 cm. The perpendiculars drawn from B and D respectively to AC measure 8.2 cm and 9.1 cm. Find the area of the quadrilateral |
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Answer» In a quadrilateral ABCD, AC = 15 cm. The perpendiculars drawn from B and D respectively to AC measure 8.2 cm and 9.1 cm. Find the area of the quadrilateral |
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| 2900. |
A Technician has to repair a light on a pole of height 10 m. She needs to reach a point 2 m below the top of the pole to undertake the repair work. The length of the ramp that she should use which, when inclined at an angle of 30∘ to the horizontal, would enable her to reach the required position, is___ m (You may take √3 = 1.73) |
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Answer» A Technician has to repair a light on a pole of height 10 m. She needs to reach a point 2 m below the top of the pole to undertake the repair work. The length of the ramp that she should use which, when inclined at an angle of 30∘ to the horizontal, would enable her to reach the required position, is (You may take √3 = 1.73) |
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