25365 + Interview Questions in Mathematics Page 16 InterviewSolution

751.	Question 53 State whether the following statement is true or false: The areas of any two faces of a cube are equal.
Answer» Question 53 State whether the following statement is true or false: The areas of any two faces of a cube are equal.

751.

Question 53 State whether the following statement is true or false: The areas of any two faces of a cube are equal.

Answer»

Question 53

State whether the following statement is true or false:

The areas of any two faces of a cube are equal.

752.	Meena has some amount of money. She gets Rs.150 from her father which makes the amount four times the original amount with her. How much money does Meena have now?
Answer» Meena has some amount of money. She gets Rs.150 from her father which makes the amount four times the original amount with her. How much money does Meena have now?

Discussion

753.	304 lies between and .
Answer» $\frac{30}{4}$ lies between and .

Discussion

754.	Find and correct the errors in the statement: (2x)2 + 4(2x) + 7 = 2x2 + 8x + 7
Answer» Find and correct the errors in the statement: (2x)² + 4(2x) + 7 = 2x² + 8x + 7

Discussion

755.	√x/√5+x/340-6.53=0
Answer» √x/√5+x/340-6.53=0

Discussion

756.	Two sides AB, BC and median AM of one triangle ABC are respectively.equal to sides PQ and QR and median PN of ΔPQR (See figure)(i) ΔABM ≅ ΔPQN(ii) ΔABC ≅ ΔPQR
Answer» Two sides AB, BC and median AM of one triangle ABC are respectively. equal to sides PQ and QR and median PN of ΔPQR (See figure) (i) ΔABM ≅ ΔPQN (ii) ΔABC ≅ ΔPQR

Discussion

757.	Compute the value of (1614)2.
Answer» Compute the value of ${(16 \frac{1}{4})}^{2}$ .

Discussion

758.	The monthly salary of a person is ₹15,000 and his expenditure is ₹8,000. Find the ratio of his savings to his income.
Answer» The monthly salary of a person is ₹15,000 and his expenditure is ₹8,000. Find the ratio of his savings to his income.

Discussion

759.	Question 2 (a) Identify all the quadrilaterals that have: (a) Four sides of equal lengths.
Answer» Question 2 (a) Identify all the quadrilaterals that have: (a) Four sides of equal lengths.

759.

Question 2 (a) Identify all the quadrilaterals that have: (a) Four sides of equal lengths.

Answer»

Question 2 (a)
Identify all the quadrilaterals that have:

(a) Four sides of equal lengths.

Discussion

760.	The daily rainfall data of a week is shown. What is the total rainfall on Friday, Saturday and Sunday?(Note: 1 drop = 4 inches)80
Answer» The daily rainfall data of a week is shown. What is the total rainfall on Friday, Saturday and Sunday? (Note: 1 drop = 4 inches) 80

Discussion

761.	Which of the following combinations of the match length, venue and year is/are correct? (i) 4 day - Nagpur - 2015 (ii) 2 day - Delhi - 2014 (iii) 5 day - Kolkata - 2013 (iv) 1 day - Bangalore - 2012
Answer» Which of the following combinations of the match length, venue and year is/are correct? (i) 4 day - Nagpur - 2015 (ii) 2 day - Delhi - 2014 (iii) 5 day - Kolkata - 2013 (iv) 1 day - Bangalore - 2012

Discussion

762.	Fifteen postcards cost Rs 2.25. What will be the cost of 36 postcards? How many postcards can we buy in Rs 45?
Answer» Fifteen postcards cost Rs $2.25$ . What will be the cost of $36$ postcards? How many postcards can we buy in Rs $45$ ?

Discussion

763.	Choose the correct alternative answer for each of the following questions. (i) If M = {1, 3, 5}, N = {2, 4, 6}, then M∩N = ? (A) {1, 2, 3, 4, 5, 6} (B) {1, 3, 5} (C) ϕ (D) {2, 4, 6} (ii) P = { x \| x is an odd natural number, 1 < x ≤5} How to write this set in roster form? (A) {1, 3, 5} (B) {1, 2, 3, 4, 5} (C) {1, 3} (D) {3, 5}(iii) P = {1, 2, ........., 10}, What type of set P is ?(A) Null set (B) Infinite set (C) Finite set (D) None of these (iv) M∪N = {1, 2, 3, 4, 5, 6} and M = {1, 2, 4} then which of the following represent set N ? (A) {1, 2, 3} (B) {3, 4, 5, 6} (C) {2, 5, 6} (D) {4, 5, 6} (v) If P⊆ M, then Which of the following set represent P ∩ (P ∪ M) ? (A) P (B) M (C) P∪M (D) P' ∩ M(vi) Which of the following sets are empty sets ?(A) set of intersecting points of parallel lines(B) set of even prime numbers.(C) Month of an english calendar having less than 30 days.(D) P = { x \| x ∈ I, -1 < x < 1}
Answer» Choose the correct alternative answer for each of the following questions. (i) If M = {1, 3, 5}, N = {2, 4, 6}, then M $\cap$ N = ? (A) {1, 2, 3, 4, 5, 6} (B) {1, 3, 5} (C) $ϕ$ (D) {2, 4, 6} (ii) P = { x \| x is an odd natural number, 1 < x $\leq$ 5} How to write this set in roster form? (A) {1, 3, 5} (B) {1, 2, 3, 4, 5} (C) {1, 3} (D) {3, 5} (iii) P = {1, 2, ........., 10}, What type of set P is ? (A) Null set (B) Infinite set (C) Finite set (D) None of these (iv) M $\cup$ N = {1, 2, 3, 4, 5, 6} and M = {1, 2, 4} then which of the following represent set N ? (A) {1, 2, 3} (B) {3, 4, 5, 6} (C) {2, 5, 6} (D) {4, 5, 6} (v) If P $\subseteq$ M, then Which of the following set represent P $\cap$ (P $\cup$ M) ? (A) P (B) M (C) P $\cup$ M (D) P' $\cap$ M (vi) Which of the following sets are empty sets ? (A) set of intersecting points of parallel lines (B) set of even prime numbers. (C) Month of an english calendar having less than 30 days. (D) P = { x \| x $\in$ I, $-$ 1 < x < 1}

Discussion

764.	If the line segment joining two points subtends equal angles at two other points lying on the same side of the line, then all the four points (will/ may not) lie on a circle.
Answer» If the line segment joining two points subtends equal angles at two other points lying on the same side of the line, then all the four points (will/ may not) lie on a circle.

Discussion

765.	Ram has to reach office in 2 hours. He travels 2 hours at a speed of 80 kmph to reach office on time. Now, he is already late by 1 hour 5 minutes. Calculate the speed with which he has to travel, to reach office on time.
Answer» Ram has to reach office in 2 hours. He travels 2 hours at a speed of 80 kmph to reach office on time. Now, he is already late by 1 hour 5 minutes. Calculate the speed with which he has to travel, to reach office on time.

Discussion

766.	If 7x8 is exactly divisible by 9, then the least value of x is (a) 0 (b) 2 (c) 3 (d) 5
Answer» If 7x8 is exactly divisible by 9, then the least value of x is (a) 0 (b) 2 (c) 3 (d) 5

766.

If 7x8 is exactly divisible by 9, then the least value of x is (a) 0 (b) 2 (c) 3 (d) 5

Answer»

If 7x8 is exactly divisible by 9, then the least value of x is

(a) 0

(b) 2

(c) 3

(d) 5

Discussion

767.	Question 125(i)Find the multiplicative inverse of−118
Answer» Question 125(i) Find the multiplicative inverse of $- 1 \frac{1}{8}$

Discussion

768.	If x+1x=3, then find the value ofx2+1x2.
Answer» If $x + \frac{1}{x} = 3$ , then find the value of $x^{2} + \frac{1}{x^{2}}$ .

Discussion

769.	Which of the following will surely have a diagonal?
Answer» Which of the following will surely have a diagonal?

Discussion

770.	If the measure of sides of quadrilaterals are given as AB = 4cm, CD = 5 cm, and angles are given as ∠ABC=75∘, ∠BCD=45∘ and ∠CDA=135∘. Can you construct a unique quadrilateral ABCD?
Answer» If the measure of sides of quadrilaterals are given as AB = 4cm, CD = 5 cm, and angles are given as ∠ABC= $75^{\circ}$ , ∠BCD= $45^{\circ}$ and ∠CDA= $135^{\circ}$ . Can you construct a unique quadrilateral ABCD?

Discussion

771.	A number when added to 43 gives 352 .what is the number?
Answer» A number when added to 43 gives 352 .what is the number?

Discussion

772.	5. how many 3x3 matrices M with entries from {0,1,2}are there, for which the sum of the diagnol entries of M'M is 5??
Answer» 5. how many 3x3 matrices M with entries from {0,1,2}are there, for which the sum of the diagnol entries of M'M is 5??

Discussion

773.	a 2 digit no is obtained by either multiplying the sum of the digits by 8 and subtracting 7 or bymultiplying the difference by 18 and adding 1 . find the no
Answer» a 2 digit no is obtained by either multiplying the sum of the digits by 8 and subtracting 7 or by multiplying the difference by 18 and adding 1 . find the no

Discussion

774.	A circle has a circumference of 6π cm and it is used as the base of a cylinder. If the cylinder has a total surface area of 30π cm2, then the volume of the cylinder is:
Answer» A circle has a circumference of $6 π cm$ and it is used as the base of a cylinder. If the cylinder has a total surface area of $30 π {cm}^{2}$ , then the volume of the cylinder is:

Discussion

775.	(i) Read the line (stanza 3) that implies the following: ‘Everyone noticed something, and they made Guesses, but didn’t speak a word’. (ii) Now read the line that refers to what they noticed.
Answer» (i) Read the line (stanza 3) that implies the following: ‘Everyone noticed something, and they made Guesses, but didn’t speak a word’. (ii) Now read the line that refers to what they noticed.

775.

(i) Read the line (stanza 3) that implies the following: ‘Everyone noticed something, and they made Guesses, but didn’t speak a word’. (ii) Now read the line that refers to what they noticed.

Answer»

(i) Read
the line (stanza 3) that implies the following:

‘Everyone
noticed something, and they made

Guesses,
but didn’t speak a word’.

(ii) Now
read the line that refers to what they noticed.

Discussion

776.	Find the area of shaded region in the given fig. where ABCD is a square of side 10cm and semi-circles are drawn with each side of square as diameter. [π=3.14]
Answer» Find the area of shaded region in the given fig. where ABCD is a square of side 10cm and semi-circles are drawn with each side of square as diameter. [ $π = 3.14$ ]

776.

Find the area of shaded region in the given fig. where ABCD is a square of side 10cm and semi-circles are drawn with each side of square as diameter. [π=3.14]

Answer»

Find the area of shaded region in the given fig. where ABCD is a square of side 10cm and semi-circles are drawn with each side of square as diameter. [ $π = 3.14$ ]

Discussion

777.	Express 0.0000000012 in standard form.
Answer» Express 0.0000000012 in standard form.

Discussion

778.	The weekly pocket expenses (in rupees) of 30 students of a class are given below : 62, 80, 110, 75, 84, 73, 60, 62, 100, 87, 78, 94, 117, 86, 65, 68, 90, 80, 118, 72, 95, 72, 103, 96, 64, 87, 85, 105, 115. Construct a frequency table with class intervals 60 - 70 (where 70 is not included), 70 - 80, 80 - 90, etc.
Answer» The weekly pocket expenses (in rupees) of 30 students of a class are given below : 62, 80, 110, 75, 84, 73, 60, 62, 100, 87, 78, 94, 117, 86, 65, 68, 90, 80, 118, 72, 95, 72, 103, 96, 64, 87, 85, 105, 115. Construct a frequency table with class intervals 60 - 70 (where 70 is not included), 70 - 80, 80 - 90, etc.

778.

The weekly pocket expenses (in rupees) of 30 students of a class are given below : 62, 80, 110, 75, 84, 73, 60, 62, 100, 87, 78, 94, 117, 86, 65, 68, 90, 80, 118, 72, 95, 72, 103, 96, 64, 87, 85, 105, 115. Construct a frequency table with class intervals 60 - 70 (where 70 is not included), 70 - 80, 80 - 90, etc.

Answer»

The weekly pocket expenses (in rupees) of 30 students of a class are given below :

62, 80, 110, 75, 84, 73, 60, 62, 100, 87, 78, 94, 117, 86, 65, 68, 90, 80, 118, 72, 95, 72, 103, 96, 64, 87, 85, 105, 115.

Construct a frequency table with class intervals 60 - 70 (where 70 is not included), 70 - 80, 80 - 90, etc.

Discussion

779.	The next term of the following pattern is356, 405, 436, 489, 524, ?(1) 571(2) 581(3) 591(0
Answer» The next term of the following pattern is356, 405, 436, 489, 524, ?(1) 571(2) 581(3) 591(0

Discussion

780.	32^32^32 when divided by 7 gives remainder as
Answer» 32^32^32 when divided by 7 gives remainder as

Discussion

781.	13. Find n factor for the following reaction A.3Mn^{2+}. =. Mn^+. 2Mn^{3+} B.Fe. +. 2Fe^{3+}. =. 3Fe^{2+} C.2Cu^+ = Cu^{+2}. +Cu
Answer» 13. Find n factor for the following reaction A.3Mn^{2+}. =. Mn^+. 2Mn^{3+} B.Fe. +. 2Fe^{3+}. =. 3Fe^{2+} C.2Cu^+ = Cu^{+2}. +Cu

Discussion

782.	The value of x+y is
Answer» The value of x+y is

782.

The value of x+y is

Answer»

The value of x+y is

Discussion

783.	How many parameters are sufficient to construct a rectangle?
Answer» How many parameters are sufficient to construct a rectangle?

Discussion

784.	Limit X tends to zero one upon X raise to 8 { 1 - (cos x square by 2 )minus (cos x square by 4)+ (cos x square by 2 into cos x square by 4 )
Answer» Limit X tends to zero one upon X raise to 8 { 1 - (cos x square by 2 )minus (cos x square by 4)+ (cos x square by 2 into cos x square by 4 )

Discussion

785.	Define quadrilateral ?
Answer» Define quadrilateral ?

Discussion

786.	The price of a TV is Rs 13,000. The sales tax charged on it is at the rate of 12%. Find the amount that Vinod will have to pay if he buys it. [2 MARKS]
Answer» The price of a TV is Rs 13,000. The sales tax charged on it is at the rate of 12%. Find the amount that Vinod will have to pay if he buys it. [2 MARKS]

Discussion

787.	A field is in shape of a trapezium whose parallel sides are 50m and 15m. The non-parallel sides are 20m and 25m. Find the area of trapezium
Answer» A field is in shape of a trapezium whose parallel sides are 50m and 15m. The non-parallel sides are 20m and 25m. Find the area of trapezium

Discussion

788.	Find the simple interest for a sum of ₹15,000 invested for 2 years at 8% per annum.
Answer» Find the simple interest for a sum of ₹15,000 invested for 2 years at 8% per annum.

Discussion

789.	In the given figure, find the value of 'x'.
Answer» In the given figure, find the value of 'x'.

789.

In the given figure, find the value of 'x'.

Answer»

In the given figure, find the value of 'x'.

Discussion

790.	If three angles of a triangle are in the ratio 2: 3: 5, determine three angles.
Answer» If three angles of a triangle are in the ratio 2: 3: 5, determine three angles.

Discussion

791.	In the figure, the two triangles are congruent. The corresponding parts are marked. We can write △RAT≅?
Answer» In the figure, the two triangles are congruent. The corresponding parts are marked. We can write $△ R A T ≅ ?$

Discussion

792.	Find the values of the letters in the following and give reasons forthe steps involved.
Answer» Find the values of the letters in the following and give reasons for the steps involved.

792.

Find the values of the letters in the following and give reasons forthe steps involved.

Answer»

Find the values of the letters in the following and give reasons for
the steps involved.

Discussion

793.	Find the missing factor A that makes the following equality true.18x5=(A)(6x)
Answer» Find the missing factor $A$ that makes the following equality true. $18 x^{5} = (A) (6 x)$

Discussion

794.	Coefficient of y in the term −y3 is:
Answer» Coefficient of y in the term $\frac{- y}{3}$ is:

Discussion

795.	Divide (ab2)3(m2n)3 by a3n3(bm).
Answer» Divide $(a b^{2})^{3} (m^{2} n)^{3}$ by $a^{3} n^{3} (b m)$ .

Discussion

796.	Which of the following will have 4 at the units place?
Answer» Which of the following will have 4 at the units place?

Discussion

797.	Five cards – ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random. If the queen is drawn and put aside, what is the probability that the second card picked up is (a) an ace? (b) a queen?
Answer» Five cards – ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random. If the queen is drawn and put aside, what is the probability that the second card picked up is (a) an ace? (b) a queen?

Discussion

798.	The weighted average marks of 170 students who appeared in an exam is 55. It is also known that the average marks of failed students is 23 and that of passed students is 63. Find the number of students who passed the exam.
Answer» The weighted average marks of $170$ students who appeared in an exam is $55$ . It is also known that the average marks of failed students is $23$ and that of passed students is $63$ . Find the number of students who passed the exam.

Discussion

799.	ΔABC and ΔPQR are similar triangles. If AB = 12 cm, BC = 14 cm, AC = 4 cm, PQ = 6 cm, QR = (x + 2) cm, PR = (y + 3) cm, find the values x and y.
Answer» $Δ$ ABC and $Δ$ PQR are similar triangles. If AB = 12 cm, BC = 14 cm, AC = 4 cm, PQ = 6 cm, QR = (x + 2) cm, PR = (y + 3) cm, find the values x and y.

Discussion

800.	42. How to find the sum of all even numbers between 5 and 100
Answer» 42. How to find the sum of all even numbers between 5 and 100

Discussion

Explore topic-wise InterviewSolutions in .

Question 53 State whether the following statement is true or false: The areas of any two faces of a cube are equal.

Meena has some amount of money. She gets Rs.150 from her father which makes the amount four times the original amount with her. How much money does Meena have now?

304 lies between and .

Find and correct the errors in the statement: (2x)2 + 4(2x) + 7 = 2x2 + 8x + 7

√x/√5+x/340-6.53=0

Two sides AB, BC and median AM of one triangle ABC are respectively.equal to sides PQ and QR and median PN of ΔPQR (See figure)(i) ΔABM ≅ ΔPQN(ii) ΔABC ≅ ΔPQR

Compute the value of (1614)2.

The monthly salary of a person is ₹15,000 and his expenditure is ₹8,000. Find the ratio of his savings to his income.

Question 2 (a) Identify all the quadrilaterals that have: (a) Four sides of equal lengths.

The daily rainfall data of a week is shown. What is the total rainfall on Friday, Saturday and Sunday?(Note: 1 drop = 4 inches)80

Which of the following combinations of the match length, venue and year is/are correct? (i) 4 day - Nagpur - 2015 (ii) 2 day - Delhi - 2014 (iii) 5 day - Kolkata - 2013 (iv) 1 day - Bangalore - 2012

Fifteen postcards cost Rs 2.25. What will be the cost of 36 postcards? How many postcards can we buy in Rs 45?

If the line segment joining two points subtends equal angles at two other points lying on the same side of the line, then all the four points (will/ may not) lie on a circle.

Ram has to reach office in 2 hours. He travels 2 hours at a speed of 80 kmph to reach office on time. Now, he is already late by 1 hour 5 minutes. Calculate the speed with which he has to travel, to reach office on time.

If 7x8 is exactly divisible by 9, then the least value of x is (a) 0 (b) 2 (c) 3 (d) 5

Question 125(i)Find the multiplicative inverse of−118

If x+1x=3, then find the value ofx2+1x2.

Which of the following will surely have a diagonal?

If the measure of sides of quadrilaterals are given as AB = 4cm, CD = 5 cm, and angles are given as ∠ABC=75∘, ∠BCD=45∘ and ∠CDA=135∘. Can you construct a unique quadrilateral ABCD?

A number when added to 43 gives 352 .what is the number?

5. how many 3x3 matrices M with entries from {0,1,2}are there, for which the sum of the diagnol entries of M'M is 5??

a 2 digit no is obtained by either multiplying the sum of the digits by 8 and subtracting 7 or bymultiplying the difference by 18 and adding 1 . find the no

A circle has a circumference of 6π cm and it is used as the base of a cylinder. If the cylinder has a total surface area of 30π cm2, then the volume of the cylinder is:

(i) Read the line (stanza 3) that implies the following: ‘Everyone noticed something, and they made Guesses, but didn’t speak a word’. (ii) Now read the line that refers to what they noticed.

Find the area of shaded region in the given fig. where ABCD is a square of side 10cm and semi-circles are drawn with each side of square as diameter. [π=3.14]

Express 0.0000000012 in standard form.

The next term of the following pattern is356, 405, 436, 489, 524, ?(1) 571(2) 581(3) 591(0

32^32^32 when divided by 7 gives remainder as

13. Find n factor for the following reaction A.3Mn^{2+}. =. Mn^+. 2Mn^{3+} B.Fe. +. 2Fe^{3+}. =. 3Fe^{2+} C.2Cu^+ = Cu^{+2}. +Cu

The value of x+y is

How many parameters are sufficient to construct a rectangle?

Limit X tends to zero one upon X raise to 8 { 1 - (cos x square by 2 )minus (cos x square by 4)+ (cos x square by 2 into cos x square by 4 )

Define quadrilateral ?

The price of a TV is Rs 13,000. The sales tax charged on it is at the rate of 12%. Find the amount that Vinod will have to pay if he buys it. [2 MARKS]

A field is in shape of a trapezium whose parallel sides are 50m and 15m. The non-parallel sides are 20m and 25m. Find the area of trapezium

Find the simple interest for a sum of ₹15,000 invested for 2 years at 8% per annum.

In the given figure, find the value of 'x'.

If three angles of a triangle are in the ratio 2: 3: 5, determine three angles.

In the figure, the two triangles are congruent. The corresponding parts are marked. We can write △RAT≅?

Find the values of the letters in the following and give reasons forthe steps involved.

Find the missing factor A that makes the following equality true.18x5=(A)(6x)

Coefficient of y in the term −y3 is:

Divide (ab2)3(m2n)3 by a3n3(bm).

Which of the following will have 4 at the units place?

Five cards – ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random. If the queen is drawn and put aside, what is the probability that the second card picked up is (a) an ace? (b) a queen?

The weighted average marks of 170 students who appeared in an exam is 55. It is also known that the average marks of failed students is 23 and that of passed students is 63. Find the number of students who passed the exam.

ΔABC and ΔPQR are similar triangles. If AB = 12 cm, BC = 14 cm, AC = 4 cm, PQ = 6 cm, QR = (x + 2) cm, PR = (y + 3) cm, find the values x and y.

42. How to find the sum of all even numbers between 5 and 100