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.
| 10901. |
A right circular cylinder just encloses a sphere of radius r. Find Surface area of the sphere Curved surface area of the cylinder Ratio of the areas obtained above |
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Answer» A right circular cylinder just encloses a sphere of radius r. Find Surface area of the sphere Curved surface area of the cylinder Ratio of the areas obtained above |
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| 10902. |
Question 2 (ii) Find the LCM and HCF of 510, 92 and verify that LCM × HCF = product of the two numbers. |
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Answer» Question 2 (ii) |
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| 10903. |
Let ABC be an isosceles triangle in which AB = AC. If D, E, F be the mid-points of the sides BC, CA and AB respectively, show that the segment AD and EF bisect each other at right angles. |
| Answer» Let ABC be an isosceles triangle in which AB = AC. If D, E, F be the mid-points of the sides BC, CA and AB respectively, show that the segment AD and EF bisect each other at right angles. | |
| 10904. |
If p(x)=x2–4x+3, then evaluate p(2)−p(−1)+p(12). |
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Answer» If p(x)=x2–4x+3, then evaluate p(2)−p(−1)+p(12). |
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| 10905. |
Question 156Sanchay put a 1 cm stick of gum through a (1×3−2) machine. How long was the stick when it came out ? |
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Answer» Question 156 Sanchay put a 1 cm stick of gum through a (1×3−2) machine. How long was the stick when it came out ? |
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| 10906. |
The lengthbof perpendiculars PM and PN drawn from a point P on X axis and Y axis are 3 and 2 resp. Find the cordinates of P , M and N ????? |
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Answer» The lengthbof perpendiculars PM and PN drawn from a point P on X axis and Y axis are 3 and 2 resp. Find the cordinates of P , M and N ????? |
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| 10907. |
Let the point P(-8, 12) lies on the top of Qutub Minar, Delhi. Find the image of the point on the line 4x+7y+13=0. |
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Answer» Let the point P(-8, 12) lies on the top of Qutub Minar, Delhi. Find the image of the point on the line 4x+7y+13=0. |
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| 10908. |
Question 86 (i)Using suitable identities, evaluate the following:(52)2 |
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Answer» Question 86 (i) Using suitable identities, evaluate the following: (52)2 |
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| 10909. |
Factorisation of polynomials ????? |
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Answer» Factorisation of polynomials ????? |
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| 10910. |
If log45=a and log56=b, then, log3 2 is equal to |
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Answer» If log45=a and log56=b, then, log3 2 is equal to |
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| 10911. |
Choose the correctly marked pair. |
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Answer» Choose the correctly marked pair. |
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| 10912. |
In an octagon ABCDEFGH of equal sides, what is the sum of −−→AB+−−→AC+−−→AD+−−→AE+−−→AF+−−→AG+−−→AH if −−→AO=2^i+3^j−4^k ? |
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Answer» In an octagon ABCDEFGH of equal sides, what is the sum of −−→AB+−−→AC+−−→AD+−−→AE+−−→AF+−−→AG+−−→AH if −−→AO=2^i+3^j−4^k ? |
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| 10913. |
Question 3If P, Q and R are the mid-points of the sides BC, CA and AB of a triangle and AD is the perpendicular from A on BC, prove that P, Q, R and D are concyclic. |
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Answer» Question 3 If P, Q and R are the mid-points of the sides BC, CA and AB of a triangle and AD is the perpendicular from A on BC, prove that P, Q, R and D are concyclic. |
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| 10914. |
ntFind a quadratic polynomial divisible by (2 x-1) and (x+3) and which leaves remainder 12 on division by (x-1)n |
| Answer» ntFind a quadratic polynomial divisible by (2 x-1) and (x+3) and which leaves remainder 12 on division by (x-1)n | |
| 10915. |
The point (3, – 5) lies in the ……… quadrant. |
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Answer» The point (3, – 5) lies in the ……… quadrant. |
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| 10916. |
XY is a line parallel to side BC of a triangle ABC. If BE||AC and CF||AB meet XY at E and F respectively, show that ar(ΔABE)=ar(ΔACF) [3 MARKS] |
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Answer» XY is a line parallel to side BC of a triangle ABC. If BE||AC and CF||AB meet XY at E and F respectively, show that ar(ΔABE)=ar(ΔACF) [3 MARKS]
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| 10917. |
The sides BC, CA and AB of ∆ABC have been produced to D, E and F, respectively. ∠BAE + ∠CBF + ∠ACD = ?(a) 240°(b) 300°(c) 320°(d) 360° |
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Answer» The sides BC, CA and AB of ∆ABC have been produced to D, E and F, respectively. ∠BAE + ∠CBF + ∠ACD = ? (a) 240° (b) 300° (c) 320° (d) 360°
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| 10918. |
13. Three circles each of radius 'r' unit are drawn inside an equilateral triangle of side 'a' units, such that each circle touch the other two and two sides of the triangle as shown in the figure(p,q,r are the centres of the circles).Then relation between r and a is |
| Answer» 13. Three circles each of radius 'r' unit are drawn inside an equilateral triangle of side 'a' units, such that each circle touch the other two and two sides of the triangle as shown in the figure(p,q,r are the centres of the circles).Then relation between r and a is | |
| 10919. |
is angular node and nodal plane one ad the same thing |
| Answer» is angular node and nodal plane one ad the same thing | |
| 10920. |
A chord of length 6 cm is drawn on a circle of radius 5 cm. Calculate its distance from the centre of the circle. |
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Answer» A chord of length 6 cm is drawn on a circle of radius 5 cm. Calculate its distance from the centre of the circle. |
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| 10921. |
Find the missing number. X303545Y42495663 __ |
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Answer» Find the missing number. X303545Y42495663 |
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| 10922. |
Fill in the blanks in each of the following to make the statement true: (i) If two parallel lines are intersected by a transversal then each pair of corresponding angles are ___ (ii) If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are ___ (iii) Two lines perpendicular to the same line are ___ to each other. (iv) Two lines parallel to the same line are to ___ each other. (v) If a transversal intersects a pair of lines in such a way that a pair of alternate angles are equal, then the lines are ___ (vi) If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of transversal is 1800, then the lines are ___ |
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Answer» Fill in the blanks in each of the following to make the statement true: (v) If a transversal intersects a pair of lines in such a way that a pair of alternate angles are equal, then the lines are |
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| 10923. |
2/\sqrt{x } + 3/\sqrt y =2 and 4/\sqrt x -9/\sqrt y =-1, solve the following pair of linear equations by substitution,elimination and cross multiplication method. |
| Answer» 2/\sqrt{x } + 3/\sqrt y =2 and 4/\sqrt x -9/\sqrt y =-1, solve the following pair of linear equations by substitution,elimination and cross multiplication method. | |
| 10924. |
Find the factors of x2+22x+112 by splitting the middle term. |
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Answer» Find the factors of x2+22x+112 by splitting the middle term. |
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| 10925. |
A child playing with building blocks, which are of the shape of cubes, has built a structure. If the edge of each cube is 3 cm, find the volume of the structure built by the child. |
Answer» A child playing with building blocks, which are of the shape of cubes, has built a structure. If the edge of each cube is 3 cm, find the volume of the structure built by the child.![]() |
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| 10926. |
If 37a = 37b = 5661, what is the average of a and b? |
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Answer» If 37a = 37b = 5661, what is the average of a and b? |
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| 10927. |
Question 38In the class interval 26-33, 33 is known as ___. |
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Answer» Question 38 In the class interval 26-33, 33 is known as |
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| 10928. |
Question 155 As per the census of 2001, the population of four states are given below (a)Maharashtra96878627(b)Andhra Pradesh76210007(c)Bihar82998509(d)Uttar Pradesh166197921 Arrange the states in ascending and descending order of their populations. |
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Answer» Question 155 As per the census of 2001, the population of four states are given below (a)Maharashtra96878627(b)Andhra Pradesh76210007(c)Bihar82998509(d)Uttar Pradesh166197921 Arrange the states in ascending and descending order of their populations. |
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| 10929. |
If x+1x=5, then √x+1√x is equal to |
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Answer» If x+1x=5, then √x+1√x is equal to |
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| 10930. |
A cup is quarter full of water. What part of the cup still needs to be filled by water to make it full? |
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Answer» A cup is quarter full of water. What part of the cup still needs to be filled by water to make it full? |
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| 10931. |
Factorize (p-q)³ + (q-r)³ + (r-p)³ |
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Answer» Factorize (p-q)³ + (q-r)³ + (r-p)³ |
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| 10932. |
In the given figure, AB is a chord of the circle with centre O and BOC is the diameter. If OD⊥AB such that OD=6 cm, then find AC. |
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Answer» In the given figure, AB is a chord of the circle with centre O and BOC is the diameter. If OD⊥AB such that OD=6 cm, then find AC. |
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| 10933. |
If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect at a point O such that ∠C + ∠D = k ∠AOB, then find the value of k. |
| Answer» If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect at a point O such that ∠C + ∠D = k ∠AOB, then find the value of k. | |
| 10934. |
If each edge of a cube is increased by 50% ,find the percentage increase in its surface area? |
| Answer» If each edge of a cube is increased by 50% ,find the percentage increase in its surface area? | |
| 10935. |
Make a histogram for the given data and find the maximum used shirt size. Shirt size3839404142number of shirts sold6073899023 |
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Answer» Make a histogram for the given data and find the maximum used shirt size. Shirt size3839404142number of shirts sold6073899023 |
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| 10936. |
While comparing the cash book of Mayank with the bank pass book on 30th September, 2016 you find the following:(i) The bank pass book showed a debit balance of ₹ 15,000.(ii) Bank paid insurance premium ₹ 2,000, but it was recorded as ₹ 200 only in cash book.(iii) Cheques issued in favour of suppliers in September, 2016 amounted to ₹ 55,000, but cheques for ₹ 50,000 only were presented for payment upto 30th September, 2016.(iv) Direct deposit of ₹ 10,000 in Mayank's bank account by a customer on 25th September, 2016 had not been recorded in the cash book.(v) Dividend collected by bank, but not recorded in cash book ₹ 1,000.(vi) Bank charged ₹ 300 for its services, but they were yet to be recorded in cash book.(vii) Cheques amounting to ₹ 78,000 were deposited with bank in the last week of September, 2016 but cheques for ₹ 51,000 only had been cleared before 1st October, 2016.Prepare the bank reconciliation statement ascertaining bank balance/overdraft as per cash book. |
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Answer» While comparing the cash book of Mayank with the bank pass book on 30th September, 2016 you find the following: (i) The bank pass book showed a debit balance of ₹ 15,000. (ii) Bank paid insurance premium ₹ 2,000, but it was recorded as ₹ 200 only in cash book. (iii) Cheques issued in favour of suppliers in September, 2016 amounted to ₹ 55,000, but cheques for ₹ 50,000 only were presented for payment upto 30th September, 2016. (iv) Direct deposit of ₹ 10,000 in Mayank's bank account by a customer on 25th September, 2016 had not been recorded in the cash book. (v) Dividend collected by bank, but not recorded in cash book ₹ 1,000. (vi) Bank charged ₹ 300 for its services, but they were yet to be recorded in cash book. (vii) Cheques amounting to ₹ 78,000 were deposited with bank in the last week of September, 2016 but cheques for ₹ 51,000 only had been cleared before 1st October, 2016. Prepare the bank reconciliation statement ascertaining bank balance/overdraft as per cash book. |
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| 10937. |
Question 5 The lengths of 62 leaves of a plant are measured in millimetres and the data is represented in the following table. Length(in mm)Number of leave118−1268127−13510136−14412145−15317154−1627163−1715172−1803 Draw a histogram to represent the data above. |
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Answer» Question 5 The lengths of 62 leaves of a plant are measured in millimetres and the data is represented in the following table. Length(in mm)Number of leave118−1268127−13510136−14412145−15317154−1627163−1715172−1803 Draw a histogram to represent the data above. |
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| 10938. |
What is the average salary of the employees of OBC? |
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Answer» What is the average salary of the employees of OBC? |
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| 10939. |
If I sell 45 of 10 apples, how many are left? |
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Answer» If I sell 45 of 10 apples, how many are left? |
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| 10940. |
Question 48In the question given below, fill in the blanks to make the statement true:672−372=(67−37)× ___ = ___ |
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Answer» Question 48 In the question given below, fill in the blanks to make the statement true: 672−372=(67−37)× |
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| 10941. |
What is the sentence type? The stampede was worsened when a loud bang went off at the east end. |
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Answer» What is the sentence type? The stampede was worsened when a loud bang went off at the east end. |
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| 10942. |
Rewrite the equation 2x + 3y - 6 = 0 and express x in terms of y. Thus, find the X intercept of the line. |
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Answer» Rewrite the equation 2x + 3y - 6 = 0 and express x in terms of y. Thus, find the X intercept of the line. |
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| 10943. |
Consider the following frequency distribution which gives the weight of 38 students of a class: Weights (in kg) 31-35 36-40 41-45 46-50 51-55 56-60 61-65 66-70 Total No. students 9 5 14 3 1 2 2 2 38 (i) Find the probability that the weight of a student in the class lies between 36-45 kg.(ii) Give 2 events in the context, one having probability 0 and the other having probability 1. |
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Answer» Consider the following frequency distribution which gives the weight of 38 students of a class:
(i) Find the probability that the weight of a student in the class lies between 36-45 kg. (ii) Give 2 events in the context, one having probability 0 and the other having probability 1. |
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| 10944. |
Three angles of a quadrilateral measure 37∘, 130∘ and 53∘. Then the fourth angle is |
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Answer» Three angles of a quadrilateral measure 37∘, 130∘ and 53∘. Then the fourth angle is |
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| 10945. |
A coin is tossed 240 times and head obtained 160 times. Now, if a coin is tossed at random, what is the probability of getting a tail? |
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Answer» A coin is tossed 240 times and head obtained 160 times. Now, if a coin is tossed at random, what is the probability of getting a tail? |
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| 10946. |
In the following figure, ∠1=2y+25∘, ∠2=x+15∘. Find x and y, if 2y+25∘=3y. |
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Answer» In the following figure, ∠1=2y+25∘, ∠2=x+15∘. Find x and y, if 2y+25∘=3y. |
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| 10947. |
1.find the equation of the line passing through the point(2,3) and making intercept of lengh 2 units between the lines Y+2X=3 and Y+2X =5. 2.Let (x,y,z) be points with integer co-ordinates satisfying the system of homogeneous equations 3x-y-z=0,-3x+z=0,-3x+ 2y +z=0.The no of such points for which x2(square) + y2(square)+z2(square) is less than or equal to100. |
| Answer» 1.find the equation of the line passing through the point(2,3) and making intercept of lengh 2 units between the lines Y+2X=3 and Y+2X =5. 2.Let (x,y,z) be points with integer co-ordinates satisfying the system of homogeneous equations 3x-y-z=0,-3x+z=0,-3x+ 2y +z=0.The no of such points for which x2(square) + y2(square)+z2(square) is less than or equal to100. | |
| 10948. |
Fill in the blanks:Mean proportion of 2 and 8 is .......... |
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Answer» Fill in the blanks: Mean proportion of 2 and 8 is .......... |
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| 10949. |
the semi perimeter of a triangle exceeds each of its side by 5,3, 2 respectively . what is its perimeter |
| Answer» the semi perimeter of a triangle exceeds each of its side by 5,3, 2 respectively . what is its perimeter | |
| 10950. |
Factorise: x2+a2+1ax+1 |
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Answer» Factorise: x2+a2+1ax+1 |
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