19743 + Interview Questions in Mathematics Page 140 InterviewSolution

6951.	For the given diagram if the value of ∠2=108∘, then for CD parallel to PQ, ∠5=.
Answer» For the given diagram if the value of $∠ 2 = 108^{\circ}$ , then for $C D$ parallel to $P Q$ , $∠ 5 =$ .

Discussion

6952.	What number should (−15)−1 be multiplied so that the product may be equal to (−15)−3
Answer» What number should ${(\frac{- 1}{5})}^{- 1}$ be multiplied so that the product may be equal to ${(\frac{- 1}{5})}^{- 3}$

Discussion

6953.	If two cubes of dimensions 3 cm by 3 cm by 3 cm are placed side by side, then the resulting dimension of the cuboid is length (l), breadth (b) and height (h). Find the value of l+b+h (in cm).
Answer» If two cubes of dimensions 3 cm by 3 cm by 3 cm are placed side by side, then the resulting dimension of the cuboid is length (l), breadth (b) and height (h). Find the value of l+b+h (in cm).

Discussion

6954.	What will be the remainder when (7373+73) is divided by 74
Answer» What will be the remainder when (73⁷³+73) is divided by 74

Discussion

6955.	I am an even number. The sum of the digits is divisible by 9. I am also a multiple of 15, but I am less than 100. Who am I?
Answer» I am an even number. The sum of the digits is divisible by 9. I am also a multiple of 15, but I am less than 100. Who am I?

Discussion

6956.	Using some properties of multiplication of integers solve it:625(-35)+(-625)65
Answer» Using some properties of multiplication of integers solve it:625(-35)+(-625)65

Discussion

6957.	Ted went to the nursery and bought saplings. At the nursery, grass beds were being sold. He bought 28 rectangular grass beds, measuring 10 cm by 15 cm, for his lawn. When he went back and arranged them on his lawn, 4 beds were left unused. Find the area of the lawn (in square cm).
Answer» Ted went to the nursery and bought saplings. At the nursery, grass beds were being sold. He bought 28 rectangular grass beds, measuring 10 cm by 15 cm, for his lawn. When he went back and arranged them on his lawn, 4 beds were left unused. Find the area of the lawn (in square cm).

Discussion

6958.	Prove that the sum of all exterior angles of a triangle is 360 degree
Answer» Prove that the sum of all exterior angles of a triangle is 360 degree

Discussion

6959.	Which of the following should be the FOURTH sentence after rearrangement?
Answer» Which of the following should be the FOURTH sentence after rearrangement?

Discussion

6960.	The product of two fractions is 935. If one of the fractions is 937, find the other.
Answer» The product of two fractions is $9 \frac{3}{5}$ . If one of the fractions is $9 \frac{3}{7}$ , find the other.

Discussion

6961.	Question 22 Fill in the blanks to make the statement true. The length of a rectangle is two times its breadth. Its perimeter is 60 cm. (a) If the breadth of the rectangle is x cm, the length of the rectangle is .............. (b) Perimeter in terms of x is .............. (c) The equation formed is ............. (d) The solution of the equation is .............
Answer» Question 22 Fill in the blanks to make the statement true. The length of a rectangle is two times its breadth. Its perimeter is 60 cm. (a) If the breadth of the rectangle is x cm, the length of the rectangle is .............. (b) Perimeter in terms of x is .............. (c) The equation formed is ............. (d) The solution of the equation is .............

6961.

Question 22 Fill in the blanks to make the statement true. The length of a rectangle is two times its breadth. Its perimeter is 60 cm. (a) If the breadth of the rectangle is x cm, the length of the rectangle is .............. (b) Perimeter in terms of x is .............. (c) The equation formed is ............. (d) The solution of the equation is .............

Answer»

Question 22

Fill in the blanks to make the statement true.
The length of a rectangle is two times its breadth. Its perimeter is 60 cm.

(a) If the breadth of the rectangle is x cm, the length of the rectangle is ..............
(b) Perimeter in terms of x is ..............
(c) The equation formed is .............
(d) The solution of the equation is .............

Discussion

6962.	43.how to calculate resonating structures of cyclic compund define with e.g. ??
Answer» 43.how to calculate resonating structures of cyclic compund define with e.g. ??

Discussion

6963.	A car covers a distance of 3058 km in 212 hours. How much distance will it cover in 1 hour?
Answer» A car covers a distance of $30 \frac{5}{8}$ km in $2 \frac{1}{2}$ hours. How much distance will it cover in 1 hour?

Discussion

6964.	If ∆ABC is an equilateral triangle such that AD ⊥ BC, then AD2 =(a) 32DC2(b) 2 DC2(c) 3 CD2(d) 4 DC2
Answer» If ∆ABC is an equilateral triangle such that AD ⊥ BC, then AD² = (a) $\frac{3}{2} {DC}^{2}$ (b) 2 DC² (c) 3 CD² (d) 4 DC²

Discussion

6965.	Which of the following is considered as a solid cylinder ?
Answer» Which of the following is considered as a solid cylinder ?

Discussion

6966.	Which of the following is a pair of like terms?(a) −7xy2z, −7x2yz(b) −10xyz2, 3xyz2(c) 3xyz, 3x2y2z2(d) 4xyz2, 4x2yz
Answer» Which of the following is a pair of like terms? $(a) - 7 x y^{2} z, - 7 x^{2} y z (b) - 10 x y z^{2}, 3 x y z^{2} (c) 3 x y z, 3 x^{2} y^{2} z^{2} (d) 4 x y z^{2}, 4 x^{2} y z$

6966.

Which of the following is a pair of like terms?(a) −7xy2z, −7x2yz(b) −10xyz2, 3xyz2(c) 3xyz, 3x2y2z2(d) 4xyz2, 4x2yz

Answer»

Which of the following is a pair of like terms?

$(a) - 7 x y^{2} z, - 7 x^{2} y z (b) - 10 x y z^{2}, 3 x y z^{2} (c) 3 x y z, 3 x^{2} y^{2} z^{2} (d) 4 x y z^{2}, 4 x^{2} y z$

Discussion

6967.	3% Commission on the sale of a property amounts to Rs.42,660. What is the total value of the property?
Answer» $3 %$ Commission on the sale of a property amounts to $R s . 42, 660$ . What is the total value of the property?

Discussion

6968.	What is 7 x 3/5?
Answer» What is 7 x 3/5?

Discussion

6969.	the rotational axis and ω have same direction?
Answer» the rotational axis and ω have same direction?

Discussion

6970.	Sort the following numbers in increasing order from top to bottom.
Answer» Sort the following numbers in increasing order from top to bottom.

Discussion

6971.	Question 14Lakshmi is a cashier in a bank. She has currency notes of denominations ₹100, ₹50 and ₹10 respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is ₹ 4,00,000. How many notes of each denomination does she have?
Answer» Question 14 Lakshmi is a cashier in a bank. She has currency notes of denominations ₹100, ₹50 and ₹10 respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is ₹ 4,00,000. How many notes of each denomination does she have?

Discussion

6972.	Question 5The temperature dropped 15 degree Celsius in the last 30 days. If the rate of temperature drop remains the same, how many degrees will the temperature drop in the next ten days?
Answer» Question 5 The temperature dropped 15 degree Celsius in the last 30 days. If the rate of temperature drop remains the same, how many degrees will the temperature drop in the next ten days?

6972.

Question 5The temperature dropped 15 degree Celsius in the last 30 days. If the rate of temperature drop remains the same, how many degrees will the temperature drop in the next ten days?

Answer»

Question 5

The temperature dropped 15 degree Celsius in the last 30 days. If the rate of temperature drop remains the same, how many degrees will the temperature drop in the next ten days?

Discussion

6973.	For the given figure, ∠JBH=120o and the vertical lines are parallel.Find the angle ∠HAK.
Answer» For the given figure, $∠ J B H = 120^{o}$ and the vertical lines are parallel. Find the angle $∠ H A K .$

Discussion

6974.	Question 13 Cube of (−14) is (a)−112 (b)116 (c)−164 (d)164
Answer» Question 13 Cube of $(\frac{- 1}{4}) i s$ (a) $\frac{- 1}{12}$ (b) $\frac{1}{16}$ (c) $\frac{- 1}{64}$ (d) $\frac{1}{64}$

6974.

Question 13 Cube of (−14) is (a)−112 (b)116 (c)−164 (d)164

Answer»

Question 13

Cube of $(\frac{- 1}{4}) i s$
(a) $\frac{- 1}{12}$
(b) $\frac{1}{16}$
(c) $\frac{- 1}{64}$
(d) $\frac{1}{64}$

Discussion

6975.	If p < 0 < q < r < s, where p, q, r and s are integers, pq = –1, s – p = 10 and r is an odd integer, then which of the following is largest?यदि p < 0 < q < r < s, जहाँ p, q, r व s पूर्णांक हैं, pq = –1, s – p = 10 तथा r एक विषम पूर्णांक है, तब निम्नलिखित में से कौनसा विकल्प महत्तम है?
Answer» If p < 0 < q < r < s, where p, q, r and s are integers, pq = –1, s – p = 10 and r is an odd integer, then which of the following is largest? यदि p < 0 < q < r < s, जहाँ p, q, r व s पूर्णांक हैं, pq = –1, s – p = 10 तथा r एक विषम पूर्णांक है, तब निम्नलिखित में से कौनसा विकल्प महत्तम है?

Discussion

6976.	The number of diagonals of a polygon having 7 sides is -
Answer» The number of diagonals of a polygon having 7 sides is -

Discussion

6977.	The value of S in 13+S=25 is ____.
Answer» The value of S in $\frac{1}{3} + S = \frac{2}{5}$ is ____.

Discussion

6978.	Find the LCM and HCF of 8, 9 and 25 by applying the prime factorization method.
Answer» Find the LCM and HCF of 8, 9 and 25 by applying the prime factorization method.

Discussion

6979.	Question 38 Fill in the blanks to make the statement true. (– 8) + (– 8) + (– 8) = _____ × (– 8)
Answer» Question 38 Fill in the blanks to make the statement true. (– 8) + (– 8) + (– 8) = _____ × (– 8)

6979.

Question 38 Fill in the blanks to make the statement true. (– 8) + (– 8) + (– 8) = _____ × (– 8)

Answer»

Question 38

Fill in the blanks to make the statement true.

(– 8) + (– 8) + (– 8) = _____ × (– 8)

Discussion

6980.	From a rope of length 40.50 m, somepieces are cut each measuring 94 m.Find the number of pieces cut.
Answer» From a rope of length 40.50 m, some $pieces are cut each measuring \frac{9}{4} m .$ Find the number of pieces cut.

Discussion

6981.	Out of 1650 students represented in a pie chart, the central angle of the sector representing Arts students is 48°, number of students in the Arts stream is
Answer» Out of 1650 students represented in a pie chart, the central angle of the sector representing Arts students is 48°, number of students in the Arts stream is

Discussion

6982.	"मैंने सोचा मम्मी तो रोज़ मुझे चाय-नाश्ता कराती है, आज मैं घर जल्दी पहुँचकर उसे चाय बनाकर पिलाऊँ।" ऊपर के वाक्य को पढ़ो और बताओ कि– (क) क्या तुम चाय बनाना जानते हो? और क्या-क्या बनाना जानते हो? (ख) अगर तुम अपने खाने-पीने की कोई भी चीज़ बनाना नहीं जानते तो तुम्हें जो चीज़ सबसे अधिक पसंद हो, उसको बनाना सीखो और उसकी विधि को लिखकर बताओ।
Answer» "मैंने सोचा मम्मी तो रोज़ मुझे चाय-नाश्ता कराती है, आज मैं घर जल्दी पहुँचकर उसे चाय बनाकर पिलाऊँ।" ऊपर के वाक्य को पढ़ो और बताओ कि– (क) क्या तुम चाय बनाना जानते हो? और क्या-क्या बनाना जानते हो? (ख) अगर तुम अपने खाने-पीने की कोई भी चीज़ बनाना नहीं जानते तो तुम्हें जो चीज़ सबसे अधिक पसंद हो, उसको बनाना सीखो और उसकी विधि को लिखकर बताओ।

6982.

"मैंने सोचा मम्मी तो रोज़ मुझे चाय-नाश्ता कराती है, आज मैं घर जल्दी पहुँचकर उसे चाय बनाकर पिलाऊँ।" ऊपर के वाक्य को पढ़ो और बताओ कि– (क) क्या तुम चाय बनाना जानते हो? और क्या-क्या बनाना जानते हो? (ख) अगर तुम अपने खाने-पीने की कोई भी चीज़ बनाना नहीं जानते तो तुम्हें जो चीज़ सबसे अधिक पसंद हो, उसको बनाना सीखो और उसकी विधि को लिखकर बताओ।

Answer»

"मैंने सोचा मम्मी तो रोज़ मुझे चाय-नाश्ता कराती है, आज मैं घर जल्दी पहुँचकर उसे चाय बनाकर पिलाऊँ।"

ऊपर के वाक्य को पढ़ो और बताओ कि–

(क) क्या तुम चाय बनाना जानते हो? और क्या-क्या बनाना जानते हो?

(ख) अगर तुम अपने खाने-पीने की कोई भी चीज़ बनाना नहीं जानते तो तुम्हें जो चीज़ सबसे अधिक पसंद हो, उसको बनाना सीखो और उसकी विधि को लिखकर बताओ।

Discussion

6983.	Evaluate: 83 of (45 of 2−1)
Answer» Evaluate: $\frac{8}{3} o f (\frac{4}{5} o f 2 - 1)$

Discussion

6984.	Anita is 42 years old and her niece is 14 years old presently. Estimate the ratio of Anita's age to her niece's age after 10 years.
Answer» Anita is 42 years old and her niece is 14 years old presently. Estimate the ratio of Anita's age to her niece's age after 10 years.

Discussion

6985.	Mr. Shameem invested3313% of his savings in 20% Rs. 50 shares quoted at Rs. 60 and the remainder of the savings in 10% Rs. 100 shares quoted at Rs. 110. If his total income from these investments is Rs. 9,200; find: i) his total savings ii) the number of Rs. 50 shares iii) the number of Rs. 100 shares
Answer» Mr. Shameem invested $33 \frac{1}{3} %$ of his savings in $20 %$ Rs. 50 shares quoted at Rs. 60 and the remainder of the savings in $10 %$ Rs. 100 shares quoted at Rs. 110. If his total income from these investments is Rs. 9,200; find: i) his total savings ii) the number of Rs. 50 shares iii) the number of Rs. 100 shares

Discussion

6986.	Following shows the number of bicycles manufactured in a factory during the year 1998 to 2002. Illustrate this data using a bar graph. Choose a scale your choice. In which year was the maximum number of bicycles manufactured?
Answer» Following shows the number of bicycles manufactured in a factory during the year 1998 to 2002. Illustrate this data using a bar graph. Choose a scale your choice. In which year was the maximum number of bicycles manufactured?

6986.

Following shows the number of bicycles manufactured in a factory during the year 1998 to 2002. Illustrate this data using a bar graph. Choose a scale your choice. In which year was the maximum number of bicycles manufactured?

Answer»

Following shows the number of bicycles manufactured in a factory during the year 1998 to 2002. Illustrate this data using a bar graph. Choose a scale your choice.

In which year was the maximum number of bicycles manufactured?

Discussion

6987.	Find the value of (−2 5)7÷(−2 5)6.
Answer» Find the value of $(\frac{- 2}{5})^{7} \div (\frac{- 2}{5})^{6}$ .

Discussion

6988.	Question 6It is given that ∠XYZ=64∘ and XY is produced to point P. Draw a figure from the given information. If a ray YQ bisects ∠ZYP, find ∠XYQ and reflex ∠QYP.
Answer» Question 6 It is given that $∠ X Y Z = 64^{\circ}$ and XY is produced to point P. Draw a figure from the given information. If a ray YQ bisects $∠ Z Y P,$ find $∠ X Y Q$ and reflex $∠ Q Y P .$

Discussion

6989.	The value of ∫023xxdx is ________________.
Answer» The value of $\int_{0}^{2} \frac{3^{\sqrt{x}}}{\sqrt{x}} d x$ is ________________.

Discussion

6990.	The product of two fractions is 20. If one of the fractions is 14, then the other fraction is:
Answer» The product of two fractions is $20$ . If one of the fractions is $\frac{1}{4}$ , then the other fraction is:

Discussion

6991.	Find the value of in x each of the following:(a) x:3::15:5(b) 10:x::2:3
Answer» Find the value of in $x$ each of the following: (a) $x : 3 :: 15 : 5$ (b) $10 : x :: 2 : 3$

6991.

Find the value of in x each of the following:(a) x:3::15:5(b) 10:x::2:3

Answer»

Find the value of in $x$ each of the following:

(a) $x : 3 :: 15 : 5$

(b) $10 : x :: 2 : 3$

Discussion

6992.	The pictograph given below, shows the number of bikes sold in different months. In which month was the maximum number of bikes sold?
Answer» The pictograph given below, shows the number of bikes sold in different months. In which month was the maximum number of bikes sold?

6992.

The pictograph given below, shows the number of bikes sold in different months. In which month was the maximum number of bikes sold?

Answer»

The pictograph given below, shows the number of bikes sold in different months. In which month was the maximum number of bikes sold?

Discussion

6993.	How were the boys useful to the author?
Answer» How were the boys useful to the author?

Discussion

6994.	If OD is perpendicular to AB, and ∠DOC = 25°, find ∠BOC - ∠AOC.
Answer» If OD is perpendicular to AB, and ∠DOC = 25°, find ∠BOC - ∠AOC.

6994.

If OD is perpendicular to AB, and ∠DOC = 25°, find ∠BOC - ∠AOC.

Answer»

If OD is perpendicular to AB, and ∠DOC = 25°, find ∠BOC - ∠AOC.

Discussion

6995.	Jack deposits ₹10,000 in a bank that charges an annual maintenance fee of 20 % on the principal and gives zero interest. What will be the amount Jack will have after 4 years?
Answer» Jack deposits $₹ 10, 000$ in a bank that charges an annual maintenance fee of $20$ % on the principal and gives zero interest. What will be the amount Jack will have after $4$ years?

Discussion

6996.	A circular flower garden has an area of 314 sq.m, a sprinkler at the center of the garden can cover an area that has a radius of 12m. Does the sprinkler water cover the entire garden? (take pi =3.14)
Answer» A circular flower garden has an area of 314 sq.m, a sprinkler at the center of the garden can cover an area that has a radius of 12m. Does the sprinkler water cover the entire garden? (take pi =3.14)

Discussion

6997.	In order to plant 4 plants per meter, how many plants should you buy to edge your garden along the green path in the given figure?
Answer» In order to plant 4 plants per meter, how many plants should you buy to edge your garden along the green path in the given figure?

6997.

In order to plant 4 plants per meter, how many plants should you buy to edge your garden along the green path in the given figure?

Answer»

In order to plant 4 plants per meter, how many plants should you buy to edge your garden along the green path in the given figure?

Discussion

6998.	If 403% of a number is 90, find the number.
Answer» If $\frac{40}{3}$ % of a number is 90, find the number.

Discussion

6999.	Draw rough diagrams of two angles such that they have one point in common.
Answer» Draw rough diagrams of two angles such that they have one point in common.

Discussion

7000.	Draw an isosceles triangle with each of equal sides of length 3 cm and the angle between them as 45∘.
Answer» Draw an isosceles triangle with each of equal sides of length 3 cm and the angle between them as $45^{\circ}$ .

Discussion

Explore topic-wise InterviewSolutions in .

For the given diagram if the value of ∠2=108∘, then for CD parallel to PQ, ∠5=.

What number should (−15)−1 be multiplied so that the product may be equal to (−15)−3

If two cubes of dimensions 3 cm by 3 cm by 3 cm are placed side by side, then the resulting dimension of the cuboid is length (l), breadth (b) and height (h). Find the value of l+b+h (in cm).​

What will be the remainder when (7373+73) is divided by 74

I am an even number. The sum of the digits is divisible by 9. I am also a multiple of 15, but I am less than 100. Who am I?

Using some properties of multiplication of integers solve it:625*(-35)+(-625)*65

Ted went to the nursery and bought saplings. At the nursery, grass beds were being sold. He bought 28 rectangular grass beds, measuring 10 cm by 15 cm, for his lawn. When he went back and arranged them on his lawn, 4 beds were left unused. Find the area of the lawn (in square cm).

Prove that the sum of all exterior angles of a triangle is 360 degree

Which of the following should be the FOURTH sentence after rearrangement?

The product of two fractions is 935. If one of the fractions is 937, find the other.

43.how to calculate resonating structures of cyclic compund define with e.g. ??

A car covers a distance of 3058 km in 212 hours. How much distance will it cover in 1 hour?

If ∆ABC is an equilateral triangle such that AD ⊥ BC, then AD2 =(a) 32DC2(b) 2 DC2(c) 3 CD2(d) 4 DC2

Which of the following is considered as a solid cylinder ?

Which of the following is a pair of like terms?(a) −7xy2z, −7x2yz(b) −10xyz2, 3xyz2(c) 3xyz, 3x2y2z2(d) 4xyz2, 4x2yz

3% Commission on the sale of a property amounts to Rs.42,660. What is the total value of the property?

What is 7 x 3/5?

the rotational axis and ω have same direction?

Sort the following numbers in increasing order from top to bottom.

Question 14Lakshmi is a cashier in a bank. She has currency notes of denominations ₹100, ₹50 and ₹10 respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is ₹ 4,00,000. How many notes of each denomination does she have?

Question 5The temperature dropped 15 degree Celsius in the last 30 days. If the rate of temperature drop remains the same, how many degrees will the temperature drop in the next ten days?

For the given figure, ∠JBH=120o and the vertical lines are parallel.Find the angle ∠HAK.

Question 13 Cube of (−14) is (a)−112 (b)116 (c)−164 (d)164

The number of diagonals of a polygon having 7 sides is -

The value of S in 13+S=25 is ____.

Find the LCM and HCF of 8, 9 and 25 by applying the prime factorization method.

Question 38 Fill in the blanks to make the statement true. (– 8) + (– 8) + (– 8) = _____ × (– 8)

From a rope of length 40.50 m, somepieces are cut each measuring 94 m.Find the number of pieces cut.

Out of 1650 students represented in a pie chart, the central angle of the sector representing Arts students is 48°, number of students in the Arts stream is

Evaluate: 83 of (45 of 2−1)

Anita is 42 years old and her niece is 14 years old presently. Estimate the ratio of Anita's age to her niece's age after 10 years.

Following shows the number of bicycles manufactured in a factory during the year 1998 to 2002. Illustrate this data using a bar graph. Choose a scale your choice. In which year was the maximum number of bicycles manufactured?

Find the value of (−2 5)7÷(−2 5)6.

Question 6It is given that ∠XYZ=64∘ and XY is produced to point P. Draw a figure from the given information. If a ray YQ bisects ∠ZYP, find ∠XYQ and reflex ∠QYP.

The value of ∫023xxdx is ________________.

The product of two fractions is 20. If one of the fractions is 14, then the other fraction is:

Find the value of in x each of the following:(a) x:3::15:5(b) 10:x::2:3

The pictograph given below, shows the number of bikes sold in different months. In which month was the maximum number of bikes sold?

How were the boys useful to the author?

If OD is perpendicular to AB, and ∠DOC = 25°, find ∠BOC - ∠AOC.

Jack deposits ₹10,000 in a bank that charges an annual maintenance fee of 20 % on the principal and gives zero interest. What will be the amount Jack will have after 4 years?

A circular flower garden has an area of 314 sq.m, a sprinkler at the center of the garden can cover an area that has a radius of 12m. Does the sprinkler water cover the entire garden? (take pi =3.14)

In order to plant 4 plants per meter, how many plants should you buy to edge your garden along the green path in the given figure?

If 403% of a number is 90, find the number.

Draw rough diagrams of two angles such that they have one point in common.

​​​​​​​Draw an isosceles triangle with each of equal sides of length 3 cm and the angle between them as 45∘.

If two cubes of dimensions 3 cm by 3 cm by 3 cm are placed side by side, then the resulting dimension of the cuboid is length (l), breadth (b) and height (h). Find the value of l+b+h (in cm).

Using some properties of multiplication of integers solve it:625(-35)+(-625)65

Draw an isosceles triangle with each of equal sides of length 3 cm and the angle between them as 45∘.