24740 + Interview Questions in Mathematics Page 34 InterviewSolution

1651.	Write in the simplest form: (i)-997
Answer» Write in the simplest form: (i)^-997

Discussion

1652.	A polygon with minimum number of sides is :
Answer» A polygon with minimum number of sides is :

Discussion

1653.	The mid points of an equilateral triangle of side 10 cm are joined to form a triangle. What type of triangle is obtained by joining the mid points ?
Answer» The mid points of an equilateral triangle of side 10 cm are joined to form a triangle. What type of triangle is obtained by joining the mid points ?

Discussion

1654.	In the given figure, ▢PQRS is cyclic. side PQ ≅ side RQ. ∠ PSR = 110°, Find–(1) measure of ∠ PQR(2) m(arc PQR)(3) m(arc QR)(4) measure of ∠ PRQ
Answer» In the given figure, ▢PQRS is cyclic. side PQ ≅ side RQ. ∠ PSR = 110°, Find– (1) measure of ∠ PQR (2) m(arc PQR) (3) m(arc QR) (4) measure of ∠ PRQ

Discussion

1655.	Question 1 The median of a triangle divides it into two: A) Triangle of equal area B) Congruent triangles C) Right angle triangles D) Isosceles triangle
Answer» Question 1 The median of a triangle divides it into two: A) Triangle of equal area B) Congruent triangles C) Right angle triangles D) Isosceles triangle

Discussion

1656.	What is the shape formed by stacking up a number of circular sheets of the same radius one over another vertically?
Answer» What is the shape formed by stacking up a number of circular sheets of the same radius one over another vertically?

Discussion

1657.	Convert 0.055 to its lowest terms.
Answer» Convert 0.055 to its lowest terms.

Discussion

1658.	The owner of an academic book shop keeps a record of the number of books he sells in each subject. He noted that in a particular month, he sold 50 math books, 120 science books, 70 social studies books and 60 language books. What is the probability that the next book sold is a science book?
Answer» The owner of an academic book shop keeps a record of the number of books he sells in each subject. He noted that in a particular month, he sold 50 math books, 120 science books, 70 social studies books and 60 language books. What is the probability that the next book sold is a science book?

Discussion

1659.	In the figure below, lines XY and MN intersect at point O. If ∠POY = 90∘ and A:B = 2:3, find C2.
Answer» In the figure below, lines XY and MN intersect at point O. If $∠$ POY = $90^{\circ}$ and A:B = 2:3, find $\frac{C}{2}$ .

1659.

In the figure below, lines XY and MN intersect at point O. If ∠POY = 90∘ and A:B = 2:3, find C2.

Answer»

In the figure below, lines XY and MN intersect at point O. If $∠$ POY = $90^{\circ}$ and A:B = 2:3, find $\frac{C}{2}$ .

Discussion

1660.	From the options, choose the irrational numbers that lie between 4 and 9.
Answer» From the options, choose the irrational numbers that lie between 4 and 9.

Discussion

1661.	In the given figure, AOB is a straight line. The value of x is (a) 12 (b) 15 (c) 20 (d) 25
Answer» In the given figure, AOB is a straight line. The value of x is (a) 12 (b) 15 (c) 20 (d) 25

1661.

In the given figure, AOB is a straight line. The value of x is (a) 12 (b) 15 (c) 20 (d) 25

Answer»

In the given figure, AOB is a straight line. The value of x is

(a) 12

(b) 15

(c) 20

(d) 25

Discussion

1662.	For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.
Answer» For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.

Discussion

1663.	In the figure below, how much more is the perimeter of the larger circle than that of the smaller circle?
Answer» In the figure below, how much more is the perimeter of the larger circle than that of the smaller circle?

1663.

In the figure below, how much more is the perimeter of the larger circle than that of the smaller circle?

Answer»

In the figure below, how much more is the perimeter of the larger circle than that of the smaller circle?

Discussion

1664.	what is alpha , beta , gamma and theta?
Answer» what is alpha , beta , gamma and theta?

Discussion

1665.	Draw a triangle ABC with side BC=6 cm, AB=5 cm and∠ABC=60∘. Then construct a triangle whose sides are 34 of the corresponding sides of the triangle ABC.
Answer» Draw a triangle ABC with side $B C = 6 c m, A B = 5 c m a n d ∠ A B C = 60^{\circ}$ . Then construct a triangle whose sides are $\frac{3}{4}$ of the corresponding sides of the triangle ABC.

Discussion

1666.	Express log105√108 in terms of log102 and log103.
Answer» Express $l o g_{10} \sqrt[5]{108}$ in terms of $l o g_{10} 2$ and $l o g_{10} 3$ .

Discussion

1667.	Find the ratio of the curved surface areas of two cones if their diameters of the bases are equal and slant heights are in the ratio 4:3.
Answer» Find the ratio of the curved surface areas of two cones if their diameters of the bases are equal and slant heights are in the ratio 4:3.

Discussion

1668.	ABCD is a trapezium with AB∥DC. E and F are points on non-parallel sides AD and BC respectively such that EF∥AB. Show that AEED=BFFC. [2 MARKS]
Answer» ABCD is a trapezium with $A B ∥ D C$ . E and F are points on non-parallel sides AD and BC respectively such that $E F ∥ A B$ . Show that $\frac{A E}{E D} = \frac{B F}{F C}$ . [2 MARKS]

1668.

ABCD is a trapezium with AB∥DC. E and F are points on non-parallel sides AD and BC respectively such that EF∥AB. Show that AEED=BFFC. [2 MARKS]

Answer»

ABCD is a trapezium with $A B ∥ D C$ . E and F are points on non-parallel sides AD and BC respectively such that $E F ∥ A B$ . Show that $\frac{A E}{E D} = \frac{B F}{F C}$ . [2 MARKS]

Discussion

1669.	How do you write "nine tenths" as a decimal?
Answer» How do you write "nine tenths" as a decimal?

Discussion

1670.	The ratio of lateral surface area of two cylinders with equal height and radii as R and r is:
Answer» The ratio of lateral surface area of two cylinders with equal height and radii as R and r is:

Discussion

1671.	If the sum of 10 observations is 95, then their mean is(a) 9.5 (b) 10 (c) 950 (d) 95
Answer» If the sum of 10 observations is 95, then their mean is (a) 9.5 (b) 10 (c) 950 (d) 95

Discussion

1672.	Let 'X' be random variable with mean 5 and variance 3. A new random varaibel 'Y' is defined as Y = 5X + 9, then variance of Y is equal to _____75
Answer» Let 'X' be random variable with mean 5 and variance 3. A new random varaibel 'Y' is defined as Y = 5X + 9, then variance of Y is equal to _____ 75

Discussion

1673.	If two isosceles triangles have a common base, prove that the line joining their vertices bisects the common base at right angles.
Answer» If two isosceles triangles have a common base, prove that the line joining their vertices bisects the common base at right angles.

Discussion

1674.	Question 2The pair of equation x + 2y + 5 = 0 and -3x – 6y + 1 = 0 has(A) a unique solution(B) exactly two solutions(C) infinitely many solutions(D) no solution
Answer» Question 2 The pair of equation x + 2y + 5 = 0 and -3x – 6y + 1 = 0 has (A) a unique solution (B) exactly two solutions (C) infinitely many solutions (D) no solution

Discussion

1675.	Question 54 When two quantities are related in such a manner that, if one increases, the other also increases, then they always vary directly.
Answer» Question 54 When two quantities are related in such a manner that, if one increases, the other also increases, then they always vary directly.

1675.

Question 54 When two quantities are related in such a manner that, if one increases, the other also increases, then they always vary directly.

Answer»

Question 54

When two quantities are related in such a manner that, if one increases, the other also increases, then they always vary directly.

Discussion

1676.	If y=x+1x,then x ki power four+x ki power 3-4x ki power 2+x+1=0 becomes
Answer» If y=x+1x,then x ki power four+x ki power 3-4x ki power 2+x+1=0 becomes

Discussion

1677.	A triangle has consecutive integral SIDES. The largest ANGLE is twice the smallest ANGLE. Find its perimeter using sine rule.
Answer» A triangle has consecutive integral SIDES. The largest ANGLE is twice the smallest ANGLE. Find its perimeter using sine rule.

Discussion

1678.	Which congruency criterion could be used to check for congruency of two right-angled triangles?
Answer» Which congruency criterion could be used to check for congruency of two right-angled triangles?

Discussion

1679.	With the help of numbers , prove that there are infinite number of rationals between two integers 1 and 2.
Answer» With the help of numbers , prove that there are infinite number of rationals between two integers 1 and 2.

Discussion

1680.	The graph given is represented by which of the following equations?
Answer» The graph given is represented by which of the following equations?

1680.

The graph given is represented by which of the following equations?

Answer»

The graph given is represented by which of the following equations?

Discussion

1681.	Find the supplement of 112 degree 48 minute
Answer» Find the supplement of 112 degree 48 minute

Discussion

1682.	Two concentric circles are intersected by a line L at A, B, C and D. Then
Answer» Two concentric circles are intersected by a line L at A, B, C and D. Then

1682.

Two concentric circles are intersected by a line L at A, B, C and D. Then

Answer»

Two concentric circles are intersected by a line L at A, B, C and D. Then

Discussion

1683.	Question 9 (vi)Solve the following pair of equationsxa+yb=a+b, xa2+yb2=2,where a,b ≠ 0
Answer» Question 9 (vi) Solve the following pair of equations $\frac{x}{a} + \frac{y}{b} = a + b, \frac{x}{a^{2}} + \frac{y}{b^{2}} = 2, where a, b \neq 0$

Discussion

1684.	In a treasure hunt, the treasure is in one of the four rooms. The room with a non-terminating decimal expansion of a rational number as the door number has the treasure inside it. Which door number should you choose to find the treasure?
Answer» In a treasure hunt, the treasure is in one of the four rooms. The room with a non-terminating decimal expansion of a rational number as the door number has the treasure inside it. Which door number should you choose to find the treasure?

Discussion

1685.	Prove that the figure formed by joining the mid points of the adjacent sides of a rectangle is a rhombus.
Answer» Prove that the figure formed by joining the mid points of the adjacent sides of a rectangle is a rhombus.

Discussion

1686.	How many integral values of x are contained in the domain of the function :((5-\|x\|)/(\|x\|-3))^(1/2) ?
Answer» How many integral values of x are contained in the domain of the function : ((5-\|x\|)/(\|x\|-3))^(1/2) ?

Discussion

1687.	Square ABPQ and ADRS are drawn on the sides AB and AD of a parallelogram ABCD. Which of the following options is correct?
Answer» Square ABPQ and ADRS are drawn on the sides AB and AD of a parallelogram ABCD. Which of the following options is correct?

Discussion

1688.	The age of a father 10 years ago was thrice the age of his son. 10 years hence, the father's age will be twice that of his son. The ratio of their present ages is
Answer» The age of a father $10$ years ago was thrice the age of his son. $10$ years hence, the father's age will be twice that of his son. The ratio of their present ages is

Discussion

1689.	For the equation y = 3x - 7, what is x if y = 0?
Answer» For the equation y = 3x - 7, what is x if y = 0?

Discussion

1690.	The value of (0.013)3+(0.007)3(0.013)2-0.013×0.007+(0.007)2 is(a) 0.006(b) 0.02(c) 0.0091(d) 0.00185
Answer» The value of $\frac{(0.013)^{3} + (0.007)^{3}}{(0.013)^{2} - 0.013 \times 0.007 + (0.007)^{2}}$ is (a) 0.006 (b) 0.02 (c) 0.0091 (d) 0.00185

Discussion

1691.	What is the greatest number which divides 134 and 167 leaving 2 as the remainder in each case?
Answer» What is the greatest number which divides 134 and 167 leaving 2 as the remainder in each case?

Discussion

1692.	ABC is a triangle in which ∠A = 72°, the internal bisectors of angles B and C meet in O. Find the magnitude of ∠BOC.
Answer» ABC is a triangle in which ∠A = 72°, the internal bisectors of angles B and C meet in O. Find the magnitude of ∠BOC.

Discussion

1693.	What can be the maximum number of entries in the repeating string of remainders in the decimal expansion of 3/7? Perform the division and write the repeating string of remainders
Answer» What can be the maximum number of entries in the repeating string of remainders in the decimal expansion of 3/7? Perform the division and write the repeating string of remainders

Discussion

1694.	Prepare Bank Reconciliation Statement as on 31st January, 2017, if Cash Book of Mr. Sanjay showed a credit balance of ₹ 20,100.(i) The bank had paid fire insurance premium of ₹ 550 which does not appear in the Cash Book.(ii) Cheques for ₹ 25,000 issued during January, but cheques for only ₹ 18,500 were presented for payment.(iii) Interest collected by bank ₹ 740.(iv) Cheques of ₹ 8,700 were deposited into bank, but cheques for ₹ 7,000 were cleared till 31st January, 2017.(v) A customer deposited ₹ 620 directly into bank without informing Mr. Sanjay.
Answer» Prepare Bank Reconciliation Statement as on 31st January, 2017, if Cash Book of Mr. Sanjay showed a credit balance of ₹ 20,100. (i) The bank had paid fire insurance premium of ₹ 550 which does not appear in the Cash Book. (ii) Cheques for ₹ 25,000 issued during January, but cheques for only ₹ 18,500 were presented for payment. (iii) Interest collected by bank ₹ 740. (iv) Cheques of ₹ 8,700 were deposited into bank, but cheques for ₹ 7,000 were cleared till 31st January, 2017. (v) A customer deposited ₹ 620 directly into bank without informing Mr. Sanjay.

Discussion

1695.	In the given figure, write the following:(i) Write the coordinates of B.(ii) Write the coordinates of C.
Answer» In the given figure, write the following: (i) Write the coordinates of B. (ii) Write the coordinates of C.

Discussion

1696.	In ∆ABC, seg AD ⊥ seg BC DB = 3CD. Prove that :2AB2 = 2AC2 + BC2
Answer» In ∆ABC, seg AD ⊥ seg BC DB = 3CD. Prove that : 2AB²= 2AC²+ BC²

Discussion

1697.	Ram has x sweets. If 20 sweets are added to twice the number of sweets he has so that the total becomes 50, then the equation expressing this is .
Answer» Ram has $x$ sweets. If 20 sweets are added to twice the number of sweets he has so that the total becomes 50, then the equation expressing this is .

Discussion

1698.	Question 180(iii)Simplify(413)4×(137)2×(74)3
Answer» Question 180(iii) Simplify ${(\frac{4}{13})}^{4} \times {(\frac{13}{7})}^{2} \times {(\frac{7}{4})}^{3}$

1698.

Question 180(iii)Simplify(413)4×(137)2×(74)3

Answer»

Question 180(iii)

Simplify

${(\frac{4}{13})}^{4} \times {(\frac{13}{7})}^{2} \times {(\frac{7}{4})}^{3}$

Discussion

1699.	A(→a), B(→b), C(→c) are the vertices of a triangle ABC and R(→r) is any point in the plane of triangle ABC, then →r.(→a×→b+→b×→c+→c×→a) is always equal to
Answer» $A (\to a), B (\to b), C (\to c)$ are the vertices of a triangle ABC and $R (\to r)$ is any point in the plane of triangle ABC, then $\to r . (\to a \times \to b + \to b \times \to c + \to c \times \to a)$ is always equal to

Discussion

1700.	45. The zeros of the polynomial f (x) =x cube_5xsquare_16x+80, if it's two zeros are equal in magnitude but opposite in sign are
Answer» 45. The zeros of the polynomial f (x) =x cube_5xsquare_16x+80, if it's two zeros are equal in magnitude but opposite in sign are

Discussion

Explore topic-wise InterviewSolutions in .

Write in the simplest form: (i)-997

A polygon with minimum number of sides is :

The mid points of an equilateral triangle of side 10 cm are joined to form a triangle. What type of triangle is obtained by joining the mid points ?

In the given figure, ▢PQRS is cyclic. side PQ ≅ side RQ. ∠ PSR = 110°, Find–(1) measure of ∠ PQR(2) m(arc PQR)(3) m(arc QR)(4) measure of ∠ PRQ

Question 1 The median of a triangle divides it into two: A) Triangle of equal area B) Congruent triangles C) Right angle triangles D) Isosceles triangle

What is the shape formed by stacking up a number of circular sheets of the same radius one over another vertically?

Convert 0.055 to its lowest terms.

The owner of an academic book shop keeps a record of the number of books he sells in each subject. He noted that in a particular month, he sold 50 math books, 120 science books, 70 social studies books and 60 language books. What is the probability that the next book sold is a science book?

In the figure below, lines XY and MN intersect at point O. If ∠POY = 90∘ and A:B = 2:3, find C2.

From the options, choose the irrational numbers that lie between 4 and 9.

In the given figure, AOB is a straight line. The value of x is (a) 12 (b) 15 (c) 20 (d) 25

For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.

In the figure below, how much more is the perimeter of the larger circle than that of the smaller circle?

what is alpha , beta , gamma and theta?

Draw a triangle ABC with side BC=6 cm, AB=5 cm and∠ABC=60∘. Then construct a triangle whose sides are 34 of the corresponding sides of the triangle ABC.

Express log105√108 in terms of log102 and log103.

Find the ratio of the curved surface areas of two cones if their diameters of the bases are equal and slant heights are in the ratio 4:3.

ABCD is a trapezium with AB∥DC. E and F are points on non-parallel sides AD and BC respectively such that EF∥AB. Show that AEED=BFFC. [2 MARKS]

How do you write "nine tenths" as a decimal?

The ratio of lateral surface area of two cylinders with equal height and radii as R and r is:

If the sum of 10 observations is 95, then their mean is(a) 9.5 (b) 10 (c) 950 (d) 95

Let 'X' be random variable with mean 5 and variance 3. A new random varaibel 'Y' is defined as Y = 5X + 9, then variance of Y is equal to _____75

If two isosceles triangles have a common base, prove that the line joining their vertices bisects the common base at right angles.

Question 2The pair of equation x + 2y + 5 = 0 and -3x – 6y + 1 = 0 has(A) a unique solution(B) exactly two solutions(C) infinitely many solutions(D) no solution

Question 54 When two quantities are related in such a manner that, if one increases, the other also increases, then they always vary directly.

If y=x+1x,then x ki power four+x ki power 3-4x ki power 2+x+1=0 becomes

A triangle has consecutive integral SIDES. The largest ANGLE is twice the smallest ANGLE. Find its perimeter using sine rule.

Which congruency criterion could be used to check for congruency of two right-angled triangles?

With the help of numbers , prove that there are infinite number of rationals between two integers 1 and 2.

The graph given is represented by which of the following equations?

Find the supplement of 112 degree 48 minute

Two concentric circles are intersected by a line L at A, B, C and D. Then

Question 9 (vi)Solve the following pair of equationsxa+yb=a+b, xa2+yb2=2,where a,b ≠ 0

In a treasure hunt, the treasure is in one of the four rooms. The room with a non-terminating decimal expansion of a rational number as the door number has the treasure inside it. Which door number should you choose to find the treasure?

Prove that the figure formed by joining the mid points of the adjacent sides of a rectangle is a rhombus.

How many integral values of x are contained in the domain of the function :((5-|x|)/(|x|-3))^(1/2) ?

Square ABPQ and ADRS are drawn on the sides AB and AD of a parallelogram ABCD. Which of the following options is correct?

The age of a father 10 years ago was thrice the age of his son. 10 years hence, the father's age will be twice that of his son. The ratio of their present ages is

For the equation y = 3x - 7, what is x if y = 0?

The value of (0.013)3+(0.007)3(0.013)2-0.013×0.007+(0.007)2 is(a) 0.006(b) 0.02(c) 0.0091(d) 0.00185

What is the greatest number which divides 134 and 167 leaving 2 as the remainder in each case?

ABC is a triangle in which ∠A = 72°, the internal bisectors of angles B and C meet in O. Find the magnitude of ∠BOC.

What can be the maximum number of entries in the repeating string of remainders in the decimal expansion of 3/7? Perform the division and write the repeating string of remainders

In the given figure, write the following:(i) Write the coordinates of B.(ii) Write the coordinates of C.

In ∆ABC, seg AD ⊥ seg BC DB = 3CD. Prove that :2AB2 = 2AC2 + BC2

Ram has x sweets. If 20 sweets are added to twice the number of sweets he has so that the total becomes 50, then the equation expressing this is .

Question 180(iii)Simplify(413)4×(137)2×(74)3

A(→a), B(→b), C(→c) are the vertices of a triangle ABC and R(→r) is any point in the plane of triangle ABC, then →r.(→a×→b+→b×→c+→c×→a) is always equal to

45. The zeros of the polynomial f (x) =x cube_5xsquare_16x+80, if it's two zeros are equal in magnitude but opposite in sign are