25365 + Interview Questions in Mathematics Page 226 InterviewSolution

11251.	Find the cube root of 512.
Answer» Find the cube root of 512.

Discussion

11252.	Which of the following has 1 as its unit digit in its cube root?
Answer» Which of the following has 1 as its unit digit in its cube root?

Discussion

11253.	Find the quotient when x3+x2+x+1 is divided by x+1.
Answer» Find the quotient when $x^{3} + x^{2} + x + 1$ is divided by $x + 1$ .

Discussion

11254.	Ganga Ltd. purchased a machinery on January 01, 2014 for Rs 5,50,000 and spent Rs 50,000 on its installation. On September 01, 2014 it purchased another machine for Rs 3,70,000. On May 01, 2015 it purchased another machine for Rs 8,40,000 (including installation expenses).Depreciation was provided on machinery 10% p.a. on original cost method annually on December 31. Prepare:(a) Machinery account and depreciation account for the years 2014, 2015, 2016 and 2017.(b) If depreciation is accumulated in provision for Depreciation account then prepare machine account and provision for depreciation account for the years 2014, 2015, 2016 and 2017.
Answer» Ganga Ltd. purchased a machinery on January 01, 2014 for Rs 5,50,000 and spent Rs 50,000 on its installation. On September 01, 2014 it purchased another machine for Rs 3,70,000. On May 01, 2015 it purchased another machine for Rs 8,40,000 (including installation expenses). Depreciation was provided on machinery 10% p.a. on original cost method annually on December 31. Prepare: (a) Machinery account and depreciation account for the years 2014, 2015, 2016 and 2017. (b) If depreciation is accumulated in provision for Depreciation account then prepare machine account and provision for depreciation account for the years 2014, 2015, 2016 and 2017.

11254.

Ganga Ltd. purchased a machinery on January 01, 2014 for Rs 5,50,000 and spent Rs 50,000 on its installation. On September 01, 2014 it purchased another machine for Rs 3,70,000. On May 01, 2015 it purchased another machine for Rs 8,40,000 (including installation expenses).Depreciation was provided on machinery 10% p.a. on original cost method annually on December 31. Prepare:(a) Machinery account and depreciation account for the years 2014, 2015, 2016 and 2017.(b) If depreciation is accumulated in provision for Depreciation account then prepare machine account and provision for depreciation account for the years 2014, 2015, 2016 and 2017.

Answer» Ganga Ltd. purchased a machinery on January 01, 2014 for Rs 5,50,000 and spent Rs 50,000 on its installation. On September 01, 2014 it purchased another machine for Rs 3,70,000. On May 01, 2015 it purchased another machine for Rs 8,40,000 (including installation expenses).

Depreciation was provided on machinery 10% p.a. on original cost method annually on December 31. Prepare:

(a) Machinery account and depreciation account for the years 2014, 2015, 2016 and 2017.

(b) If depreciation is accumulated in provision for Depreciation account then prepare machine account and provision for depreciation account for the years 2014, 2015, 2016 and 2017.

Discussion

11255.	Question 9Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other of 0. BO is produced to a point M. Prove that ∠MOC=∠ABC.
Answer» Question 9 Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other of 0. BO is produced to a point M. Prove that $∠ M O C = ∠ A B C$ .

Discussion

11256.	The number of hours for which students of a particular class watched television during holidays is shown in the given graph.We draw the histogram for above frequency table:Answer the following:How many students spend more than 5 hours in watching TV?
Answer» The number of hours for which students of a particular class watched television during holidays is shown in the given graph. We draw the histogram for above frequency table: Answer the following: How many students spend more than 5 hours in watching TV?

Discussion

11257.	The value of 3!×0! is .
Answer» The value of $3! \times 0!$ is .

Discussion

11258.	Question 8 (i)ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that:ABCD is a square
Answer» Question 8 (i) ABCD is a rectangle in which diagonal AC bisects $∠ A$ as well as $∠ C$ . Show that: ABCD is a square

Discussion

11259.	If a and b are two non empty sets and A is a proper subset of B. If n(A) =5. Then minimum possible value of n(A delta B ) is
Answer» If a and b are two non empty sets and A is a proper subset of B. If n(A) =5. Then minimum possible value of n(A delta B ) is

Discussion

11260.	Factorise x^2-3ax/2-a^2
Answer» Factorise x^2-3ax/2-a^2

Discussion

11261.	Column I represent the radius of different circles. Match with their respective diameters in Column II.
Answer» Column I represent the radius of different circles. Match with their respective diameters in Column II.

Discussion

11262.	Find the square root of the following by long division method.a) 27.04b) 1.44
Answer» Find the square root of the following by long division method. a) 27.04 b) 1.44

11262.

Find the square root of the following by long division method.a) 27.04b) 1.44

Answer»

Find the square root of the following by long division method.

a) 27.04

b) 1.44

Discussion

11263.	Triangle ABC is reflected through the mirror XY as shown in the figure. Then which among the given options is congruent to triangle ABC?
Answer» Triangle ABC is reflected through the mirror XY as shown in the figure. Then which among the given options is congruent to triangle ABC?

11263.

Triangle ABC is reflected through the mirror XY as shown in the figure. Then which among the given options is congruent to triangle ABC?

Answer»

Triangle ABC is reflected through the mirror XY as shown in the figure. Then which among the given options is congruent to triangle ABC?

Discussion

11264.	Simplify: (2−2k−k3)×(−3k2).
Answer» Simplify: $(2 - 2 k - k^{3}) \times (- 3 k^{2})$ .

Discussion

11265.	Question 2 (a)How many diagonals does each of the following have?(a) A convex quadrilateral
Answer» Question 2 (a) How many diagonals does each of the following have? (a) A convex quadrilateral

Discussion

11266.	Question 1 (v)Find the squares of the following numbers:71
Answer» Question 1 (v) Find the squares of the following numbers: 71

11266.

Question 1 (v)Find the squares of the following numbers:71

Answer»

Question 1 (v)

Find the squares of the following numbers:

71

Discussion

11267.	Question 124(v)Name the property used in each of the following:38×1=1×38=38
Answer» Question 124(v) Name the property used in each of the following: $\frac{3}{8} \times 1 = 1 \times \frac{3}{8} = \frac{3}{8}$

Discussion

11268.	Value of n^0 where n not equal to zero is always ___.
Answer» Value of n^0where n not equal to zero is always ___.

Discussion

11269.	The mean in the following numbers 19, 21, 18, 17, 18, 22, 46 ______ is
Answer» The mean in the following numbers 19, 21, 18, 17, 18, 22, 46 ______ is

Discussion

11270.	Question 2(v)Factorise(l+m)2−(l−m)2
Answer» Question 2(v) Factorise $(l + m)^{2} - (l - m)^{2}$

Discussion

11271.	A milkman sold two of his buffaloes of rupees 20000 each. On one he gain 5% and another a loss of 10%. Find his overall loss or gain.
Answer» A milkman sold two of his buffaloes of rupees 20000 each. On one he gain 5% and another a loss of 10%. Find his overall loss or gain.

Discussion

11272.	Question 6 In the given question, out of four options, only one is correct. Write the correct answer. A four-digit number aabb is divisible by 55. Then, possible value(s) of b is/are (a) 0 and 2 (b) 2 and 5 (c) 0 and 5 (d) 7
Answer» Question 6 In the given question, out of four options, only one is correct. Write the correct answer. A four-digit number aabb is divisible by 55. Then, possible value(s) of b is/are (a) 0 and 2 (b) 2 and 5 (c) 0 and 5 (d) 7

Discussion

11273.	Jax has 6 flowers and he gives 4 to Jane. Choose the correct subtraction statement.
Answer» Jax has 6 flowers and he gives 4 to Jane. Choose the correct subtraction statement.

Discussion

11274.	A person travelling in an auto found that the fare of the journey consists of fixed charge together with the charge for the distance covered. The equation x+10y=200 represents ,when the person travels 10 km. Find out the variable which represents the fixed charge in the equation. __
Answer» A person travelling in an auto found that the fare of the journey consists of fixed charge together with the charge for the distance covered. The equation $x + 10 y = 200$ represents ,when the person travels 10 km. Find out the variable which represents the fixed charge in the equation. __

Discussion

11275.	107. In a right triangle if the difference between the two acute angles is pi by 15 radian then the measure of angles in degrees
Answer» 107. In a right triangle if the difference between the two acute angles is pi by 15 radian then the measure of angles in degrees

Discussion

11276.	What will we get if -56 is added to the sum of -98 and 43?
Answer» What will we get if -56 is added to the sum of -98 and 43?

Discussion

11277.	An exhibition tent is in the form of a cylinder surmounted by a cone. The height of the tent above the ground is 85 m and the height of the cylindrical part is 50 m. If the diameter of the base is 168 m, find the quantity of canvas required to make the tent. Allow 20% extra for folds and for stitching. Give your answer to the nearest m2 . 60509
Answer» An exhibition tent is in the form of a cylinder surmounted by a cone. The height of the tent above the ground is 85 m and the height of the cylindrical part is 50 m. If the diameter of the base is 168 m, find the quantity of canvas required to make the tent. Allow 20% extra for folds and for stitching. Give your answer to the nearest $m^{2}$ . 60509

Discussion

11278.	Give reasons for the following:Squares, rectangles, parallelograms are all quadrilaterals.
Answer» Give reasons for the following: Squares, rectangles, parallelograms are all quadrilaterals.

11278.

Give reasons for the following:Squares, rectangles, parallelograms are all quadrilaterals.

Answer»

Give reasons for the following:

Squares, rectangles, parallelograms are all quadrilaterals.

Discussion

11279.	1.6x square -36. 2.81x4-121x square
Answer» 1.6x square -36. 2.81x4-121x square

Discussion

11280.	There are infinite rational numbers between any two given
Answer» There are infinite rational numbers between any two given

Discussion

11281.	Construct a quadrilateral PQRS where PQ = 4 cm,QR = 6 cm, RS = 5 cm, PS = 5.5 cm and PR = 7 cm.[3 MARKS]
Answer» Construct a quadrilateral PQRS where PQ = 4 cm,QR = 6 cm, RS = 5 cm, PS = 5.5 cm and PR = 7 cm.[3 MARKS]

Discussion

11282.	The marks obtained by 10 students in a class are as follows, what is the probability that the average mark obtained by a student in the class is less than 70?(in decimals) StudentEnglishHindiMathematicsScience1877890892906876783796859614716779575699186766878567607789089938927688909778185861086759389 __
Answer» The marks obtained by 10 students in a class are as follows, what is the probability that the average mark obtained by a student in the class is less than 70?(in decimals) $\begin{matrix} S t u d e n t & E n g l i s h & H i n d i & M a t h e m a t i c s & S c i e n c e 1 & 87 & 78 & 90 & 89 2 & 90 & 68 & 76 & 78 3 & 79 & 68 & 59 & 61 4 & 71 & 67 & 79 & 57 5 & 69 & 91 & 86 & 76 6 & 87 & 85 & 67 & 60 7 & 78 & 90 & 89 & 93 8 & 92 & 76 & 88 & 90 9 & 77 & 81 & 85 & 86 10 & 86 & 75 & 93 & 89 \end{matrix}$ __

11282.

The marks obtained by 10 students in a class are as follows, what is the probability that the average mark obtained by a student in the class is less than 70?(in decimals) StudentEnglishHindiMathematicsScience1877890892906876783796859614716779575699186766878567607789089938927688909778185861086759389 __

Answer»

The marks obtained by 10 students in a class are as follows, what is the probability that the average mark obtained by a student in the class is less than 70?(in decimals)

$\begin{matrix} S t u d e n t & E n g l i s h & H i n d i & M a t h e m a t i c s & S c i e n c e 1 & 87 & 78 & 90 & 89 2 & 90 & 68 & 76 & 78 3 & 79 & 68 & 59 & 61 4 & 71 & 67 & 79 & 57 5 & 69 & 91 & 86 & 76 6 & 87 & 85 & 67 & 60 7 & 78 & 90 & 89 & 93 8 & 92 & 76 & 88 & 90 9 & 77 & 81 & 85 & 86 10 & 86 & 75 & 93 & 89 \end{matrix}$

__

Discussion

11283.	Question 82Find the area of shaded portion.
Answer» Question 82 Find the area of shaded portion.

11283.

Question 82Find the area of shaded portion.

Answer»

Question 82

Find the area of shaded portion.

Discussion

11284.	In a triangle ABC, we have AB = 4 cm, BC = 5.6 cm and CA = 7.6 cm. Write the angles of the triangle in ascending order of measures.
Answer» In a triangle ABC, we have AB = 4 cm, BC = 5.6 cm and CA = 7.6 cm. Write the angles of the triangle in ascending order of measures.

Discussion

11285.	Question 19 The reciprocal of any rational number pq, where p and q are integers and q≠0 is: (a) pq (b) 1 (c) 0 (d) qp
Answer» Question 19 The reciprocal of any rational number $\frac{p}{q}$ , where p and q are integers and $q \neq 0$ is: (a) $\frac{p}{q}$ (b) 1 (c) 0 (d) $\frac{q}{p}$

Discussion

11286.	Ramya buys a bicycle for Rs 8,000 and spent Rs 700 on polishing and finally sells it back for Rs 5,000 after 8 months. Find her loss amount.
Answer» Ramya buys a bicycle for Rs 8,000 and spent Rs 700 on polishing and finally sells it back for Rs 5,000 after 8 months. Find her loss amount.

Discussion

11287.	Question 135Evaluate: 3√27+3√0.008+3√0.064
Answer» Question 135 Evaluate: $\sqrt[3]{27} + \sqrt[3]{0.008} + \sqrt[3]{0.064}$

11287.

Question 135Evaluate: 3√27+3√0.008+3√0.064

Answer»

Question 135

Evaluate: $\sqrt[3]{27} + \sqrt[3]{0.008} + \sqrt[3]{0.064}$

Discussion

11288.	Solve for t:3t−24−2t+33=23−t
Answer» Solve for t: $\frac{3 t - 2}{4} - \frac{2 t + 3}{3} = \frac{2}{3} - t$

Discussion

11289.	What is the last step in constructing quadrilateral with 3 sides and 2 included angles given?
Answer» What is the last step in constructing quadrilateral with 3 sides and 2 included angles given?

Discussion

11290.	Solve the following:Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age. What is Laxmi’s age?
Answer» Solve the following: Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age. What is Laxmi’s age?

Discussion

11291.	If 4-digit numbers greater than 5000 are randomly formed from the digits 0,1,3,5 and 7 what is the probability of forming a number divisible by 5 when(i) the digits are repeated?(ii) the repetition of digits is not allowed?
Answer» If 4-digit numbers greater than 5000 are randomly formed from the digits 0,1,3,5 and 7 what is the probability of forming a number divisible by 5 when (i) the digits are repeated? (ii) the repetition of digits is not allowed?

Discussion

11292.	Fill in the blanks in each of the following so as to make the statement true: (i) 1 m3 = ___ cm3 (ii) 1 litre = ___ cubic decimetre (iii) 1 kl = ___ m3 (iv) The volume of a cube of side 8 cm is ___. (v) The volume of wooden cubiod of length cm and breadth 8 cm = is 4000 cm3. The height the cubiod is ___ cm (vi) 1 cu. dm = ___ cu.mm (vii) 1 cu km = ___ cu.m (viii) 1 litre = ___ cu.cm (ix) 1 ml = ___ cu.cm (x) 1 kl = ___ cu.dm = ___cu.cm
Answer» Fill in the blanks in each of the following so as to make the statement true: (i) 1 $m^{3}$ = ___ $c m^{3}$ (ii) 1 litre = ___ cubic decimetre (iii) 1 kl = ___ $m^{3}$ (iv) The volume of a cube of side 8 cm is ___. (v) The volume of wooden cubiod of length cm and breadth 8 cm = is 4000 $c m^{3}$ . The height the cubiod is ___ cm (vi) 1 cu. dm = ___ cu.mm (vii) 1 cu km = ___ cu.m (viii) 1 litre = ___ cu.cm (ix) 1 ml = ___ cu.cm (x) 1 kl = ___ cu.dm = ___cu.cm

Discussion

11293.	The factors of t2 + 6t + 9 are __________.
Answer» The factors of t² + 6t + 9 are __________.

Discussion

11294.	34. If x>y then what is the relation b/ w 1/x, 1/y 1.> 2.< 3.= All are possible
Answer» 34. If x>y then what is the relation b/ w 1/x, 1/y 1.> 2.< 3.= All are possible

Discussion

11295.	A cylindrical vessel, without lid, has to be tin-coated on its both sides. If the radius of the base is 70 cm and its height is 1.4m, Calculate the cost of tin-coating at the rate of Rs. 3.50 per 1000 cm2.
Answer» A cylindrical vessel, without lid, has to be tin-coated on its both sides. If the radius of the base is 70 cm and its height is 1.4m, Calculate the cost of tin-coating at the rate of Rs. 3.50 per 1000 $c m^{2}$ .

Discussion

11296.	42.Explain ETS in detail
Answer» 42.Explain ETS in detail

Discussion

11297.	A store room in the form of a cuboid measures 42m×35m×21m. How many cuboidal boxes can be stored in it if the volume of one box is 0.7m3?
Answer» A store room in the form of a cuboid measures $42 m \times 35 m \times 21 m$ . How many cuboidal boxes can be stored in it if the volume of one box is $0.7 m^{3}$ ?

Discussion

11298.	Question 3(v)Work out the following divisions96abc(3a−12)(5b−30)÷144(a−4)(b−6)
Answer» Question 3(v) Work out the following divisions $96 a b c (3 a - 12) (5 b - 30) \div 144 (a - 4) (b - 6)$

Discussion

11299.	Which number is smaller − (1) 1118 or (2) 527(Answer 1 or 2) ?.
Answer» $W h i c h n u m b e r i s s m a l l e r - (1) 11^{18} o r (2) 5^{27} (A n s w e r 1 o r 2) ? .$

Discussion

11300.	What is the meaning of surds
Answer» What is the meaning of surds

Discussion

Explore topic-wise InterviewSolutions in .

Find the cube root of 512.

Which of the following has 1 as its unit digit in its cube root?

Find the quotient when x3+x2+x+1 is divided by x+1.

Question 9Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other of 0. BO is produced to a point M. Prove that ∠MOC=∠ABC.

The number of hours for which students of a particular class watched television during holidays is shown in the given graph.We draw the histogram for above frequency table:Answer the following:How many students spend more than 5 hours in watching TV?

The value of 3!×0! is .

Question 8 (i)ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that:ABCD is a square

If a and b are two non empty sets and A is a proper subset of B. If n(A) =5. Then minimum possible value of n(A delta B ) is

Factorise x^2-3ax/2-a^2

Column I represent the radius of different circles. Match with their respective diameters in Column II.

Find the square root of the following by long division method.a) 27.04b) 1.44

Triangle ABC is reflected through the mirror XY as shown in the figure. Then which among the given options is congruent to triangle ABC?

Simplify: (2−2k−k3)×(−3k2).

Question 2 (a)How many diagonals does each of the following have?(a) A convex quadrilateral

Question 1 (v)Find the squares of the following numbers:71

Question 124(v)Name the property used in each of the following:38×1=1×38=38

Value of n^0 where n not equal to zero is always ___.

The mean in the following numbers 19, 21, 18, 17, 18, 22, 46 ______ is

Question 2(v)Factorise(l+m)2−(l−m)2

A milkman sold two of his buffaloes of rupees 20000 each. On one he gain 5% and another a loss of 10%. Find his overall loss or gain.

Question 6 In the given question, out of four options, only one is correct. Write the correct answer. A four-digit number aabb is divisible by 55. Then, possible value(s) of b is/are (a) 0 and 2 (b) 2 and 5 (c) 0 and 5 (d) 7

Jax has 6 flowers and he gives 4 to Jane. Choose the correct subtraction statement.

A person travelling in an auto found that the fare of the journey consists of fixed charge together with the charge for the distance covered. The equation x+10y=200 represents ,when the person travels 10 km. Find out the variable which represents the fixed charge in the equation. __

107. In a right triangle if the difference between the two acute angles is pi by 15 radian then the measure of angles in degrees

What will we get if -56 is added to the sum of -98 and 43?

Give reasons for the following:Squares, rectangles, parallelograms are all quadrilaterals.

1.6x square -36. 2.81x4-121x square

There are infinite rational numbers between any two given

Construct a quadrilateral PQRS where PQ = 4 cm,QR = 6 cm, RS = 5 cm, PS = 5.5 cm and PR = 7 cm.[3 MARKS]

Question 82Find the area of shaded portion.

In a triangle ABC, we have AB = 4 cm, BC = 5.6 cm and CA = 7.6 cm. Write the angles of the triangle in ascending order of measures.

Question 19 The reciprocal of any rational number pq, where p and q are integers and q≠0 is: (a) pq (b) 1 (c) 0 (d) qp

Ramya buys a bicycle for Rs 8,000 and spent Rs 700 on polishing and finally sells it back for Rs 5,000 after 8 months. Find her loss amount.

Question 135Evaluate: 3√27+3√0.008+3√0.064

Solve for t:3t−24−2t+33=23−t

What is the last step in constructing quadrilateral with 3 sides and 2 included angles given?

Solve the following:Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age. What is Laxmi’s age?

If 4-digit numbers greater than 5000 are randomly formed from the digits 0,1,3,5 and 7 what is the probability of forming a number divisible by 5 when(i) the digits are repeated?(ii) the repetition of digits is not allowed?

The factors of t2 + 6t + 9 are __________.

34. If x>y then what is the relation b/ w 1/x, 1/y 1.> 2.< 3.= All are possible

A cylindrical vessel, without lid, has to be tin-coated on its both sides. If the radius of the base is 70 cm and its height is 1.4m, Calculate the cost of tin-coating at the rate of Rs. 3.50 per 1000 cm2.

42.Explain ETS in detail

A store room in the form of a cuboid measures 42m×35m×21m. How many cuboidal boxes can be stored in it if the volume of one box is 0.7m3?

Question 3(v)Work out the following divisions96abc(3a−12)(5b−30)÷144(a−4)(b−6)

Which number is smaller − (1) 1118 or (2) 527(Answer 1 or 2) ?.

What is the meaning of surds