25365 + Interview Questions in Mathematics Page 105 InterviewSolution

5201.	Find a number such that if 8 is subtracted from 9 times the number.The result is more than twice the number
Answer» Find a number such that if 8 is subtracted from 9 times the number.The result is more than twice the number

Discussion

5202.	In figure, if ∠AOB=∠COD, then AB:CD=
Answer» In figure, if $∠ A O B = ∠ C O D,$ then $A B : C D =$

Discussion

5203.	Find the multiplicative inverse of each of the complex numbers -i
Answer» Find the multiplicative inverse of each of the complex numbers -i

5203.

Find the multiplicative inverse of each of the complex numbers -i

Answer»

Find the multiplicative inverse of each of the complex numbers

-i

Discussion

5204.	-5 can be written as 5 when subtracting 3 from 8
Answer» -5 can be written as 5 when subtracting 3 from 8

Discussion

5205.	Out of random() and randint(), which function should we use to generate random numbers between 1 and 5. Justify.
Answer» Out of random() and randint(), which function should we use to generate random numbers between 1 and 5. Justify.

Discussion

5206.	212= ?
Answer» $21^{2} = ?$

Discussion

5207.	If the 3 digit number "3BA" on divided by 10 gives 34 without leaving any remainder, then the value of A + B is:4
Answer» If the 3 digit number "3BA" on divided by 10 gives 34 without leaving any remainder, then the value of A + B is: 4

Discussion

5208.	The number of possible outcomes when a coin is tossed 6 times, is(a) 36(b) 64(c) 12(d) 32
Answer» The number of possible outcomes when a coin is tossed 6 times, is (a) 36 (b) 64 (c) 12 (d) 32

Discussion

5209.	If 5500 copies are published and the transportation cost on them amounts to Rs. 82500, then what should be the selling price of the book so that the publisher can earn a profit of 25%?
Answer» If 5500 copies are published and the transportation cost on them amounts to Rs. 82500, then what should be the selling price of the book so that the publisher can earn a profit of 25%?

Discussion

5210.	Find and correct the errors in the statement: (2x)2 + 5x = 4x + 5x = 9x
Answer» Find and correct the errors in the statement: (2x)² + 5x = 4x + 5x = 9x

Discussion

5211.	In the given figure, ABCD is a field in the form of a quadrilateral whose sides are indicated. If ∠DAB=90∘. The area of field is :
Answer» In the given figure, ABCD is a field in the form of a quadrilateral whose sides are indicated. If $∠ D A B = 90^{\circ}$ . The area of field is :

Discussion

5212.	Question 1 (i)Fill in the blanks using the correct word in the given bracket.(i) All circles are___. (congruent, similar)
Answer» Question 1 (i) Fill in the blanks using the correct word in the given bracket. (i) All circles are___. (congruent, similar)

Discussion

5213.	Construct a triangle ABC in which BC = 3.6 cm, AB + AC = 4.8 cm and ∠B = 60°.
Answer» Construct a triangle ABC in which BC = 3.6 cm, AB + AC = 4.8 cm and ∠B = 60°.

Discussion

5214.	Given 2 unequal sides and one angle of a parallelogram, how many such parallelograms are possible? [2 MARKS]
Answer» Given 2 unequal sides and one angle of a parallelogram, how many such parallelograms are possible? [2 MARKS]

Discussion

5215.	The value of i586 is __
Answer» The value of $i^{586}$ is __

Discussion

5216.	Which of the following points lies on the x-axis?
Answer» Which of the following points lies on the x-axis?

Discussion

5217.	Draw the net of a triangular prism.
Answer» Draw the net of a triangular prism.

Discussion

5218.	When a metal is heated to 100 °C , it expands to three times its original volume. If the volume of the metal at 0 °C was 12.65 mᶟ , what will be its volume when heated upto 400 °C? Note: The rise in volume is constant.
Answer» When a metal is heated to 100 °C , it expands to three times its original volume. If the volume of the metal at 0 °C was 12.65 mᶟ , what will be its volume when heated upto 400 °C? Note: The rise in volume is constant.

Discussion

5219.	Mark the correct alternative in each of the following:The solution set of the inequation x+2≤5 is(a) (-7, 5)(b) [-7, 3](c) [-5, 5](d) (-7, 3)
Answer» Mark the correct alternative in each of the following: The solution set of the inequation $\|x + 2\|$ $\leq$ 5 is (a) ( $-$ 7, 5) (b) [ $-$ 7, 3] (c) [ $-$ 5, 5] (d) ( $-$ 7, 3)

Discussion

5220.	Question 198Construct a square in which each diagonal is 5 cm long.
Answer» Question 198 Construct a square in which each diagonal is 5 cm long.

Discussion

5221.	l, m and n are parallel lines intersected by a transversal p at X, Y and Z respectively. Find ∠1, ∠2 and ∠3
Answer» l, m and n are parallel lines intersected by a transversal p at X, Y and Z respectively. Find ∠1, ∠2 and ∠3

5221.

l, m and n are parallel lines intersected by a transversal p at X, Y and Z respectively. Find ∠1, ∠2 and ∠3

Answer»

l, m and n are parallel lines intersected by a transversal p at X, Y and Z respectively. Find ∠1, ∠2 and ∠3

Discussion

5222.	Amit earns ₹ 32000 per month. He spends 14 of his income of food; 310 of the remainder on house rent and 521 of the remainder on the education of children. How much money is still left with him?
Answer» Amit earns ₹ 32000 per month. He spends $\frac{1}{4}$ of his income of food; $\frac{3}{10}$ of the remainder on house rent and $\frac{5}{21}$ of the remainder on the education of children. How much money is still left with him?

Discussion

5223.	1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were transferred to another fort and thus the food lasted now for 32 more days. How many soldiers left the fort ?
Answer» 1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were transferred to another fort and thus the food lasted now for 32 more days. How many soldiers left the fort ?

Discussion

5224.	is the fraction of unshaded petals in the given picture.
Answer» is the fraction of unshaded petals in the given picture.

Discussion

5225.	If one side of a cube is 13 m, its volume will be _______.
Answer» If one side of a cube is $13 m$ , its volume will be _______.

Discussion

5226.	Question 91 (vii)Factorise the following:18+11x+x2
Answer» Question 91 (vii) Factorise the following: $18 + 11 x + x^{2}$

Discussion

5227.	Question 7 Find ten rationals between 35 and 34.
Answer» Question 7 Find ten rationals between $\frac{3}{5} a n d \frac{3}{4}$ .

Discussion

5228.	Question 4 (i) Find the square roots of the following numbers by the Prime Factorization method: 729
Answer» Question 4 (i) Find the square roots of the following numbers by the Prime Factorization method: 729

Discussion

5229.	Which of the folloiwng sets of angles can form a triangle?
Answer» Which of the folloiwng sets of angles can form a triangle?

Discussion

5230.	If 18 dolls cost ₹630, how many dolls can be bought for ₹455?
Answer» If 18 dolls cost ₹630, how many dolls can be bought for ₹455?

Discussion

5231.	In CAT exam, Kevin scored 98% in the first attempt, 82% in the second attempt and 95% in the third attempt. This data can be best represented by
Answer» In CAT exam, Kevin scored 98% in the first attempt, 82% in the second attempt and 95% in the third attempt. This data can be best represented by

Discussion

5232.	Question 81(i)As part of his science project, Prithvi was supposed to record the temperature every hour on Saturday from 6 AM to midnight. At noon, he was taking lunch and forgot to record the temperature. At 8:00 PM, his favourite show came on and so forgot again. He recorded the data so collected on a graph sheet as shown below.Why does it make sense to connect the points in the situation?
Answer» Question 81(i) As part of his science project, Prithvi was supposed to record the temperature every hour on Saturday from 6 AM to midnight. At noon, he was taking lunch and forgot to record the temperature. At 8:00 PM, his favourite show came on and so forgot again. He recorded the data so collected on a graph sheet as shown below. Why does it make sense to connect the points in the situation?

Discussion

5233.	Question 39In the following question, fill in the blanks to make the statements true.The expression for 8−2 as a power with the base 2 is ___.
Answer» Question 39 In the following question, fill in the blanks to make the statements true. The expression for $8^{- 2}$ as a power with the base 2 is ___.

5233.

Question 39In the following question, fill in the blanks to make the statements true.The expression for 8−2 as a power with the base 2 is ___.

Answer»

Question 39

In the following question, fill in the blanks to make the statements true.

The expression for $8^{- 2}$ as a power with the base 2 is ___.

Discussion

5234.	A = {3, 6, 9, 12, 15, 18, 21} B = {2, 4, 6, 8, 10, 12, 14, 16} C = {5, 10, 15, 20} Match the following : AB 1. B−C A. {5,10,20} 2. A−C B. {3,9,15,21} 3. C−(A−B) C. {3,6,9,12,18,21} 4. C∩(A−B) D. {15} E. {2,4,6,8,12,14,16}
Answer» A = {3, 6, 9, 12, 15, 18, 21} B = {2, 4, 6, 8, 10, 12, 14, 16} C = {5, 10, 15, 20} Match the following : $\begin{matrix} A & B 1. B - C & A . {5, 10, 20} 2. A - C & B . {3, 9, 15, 21} 3. C - (A - B) & C . {3, 6, 9, 12, 18, 21} 4. C \cap (A - B) & D . {15} E . {2, 4, 6, 8, 12, 14, 16} \end{matrix}$

5234.

A = {3, 6, 9, 12, 15, 18, 21} B = {2, 4, 6, 8, 10, 12, 14, 16} C = {5, 10, 15, 20} Match the following : AB 1. B−C A. {5,10,20} 2. A−C B. {3,9,15,21} 3. C−(A−B) C. {3,6,9,12,18,21} 4. C∩(A−B) D. {15} E. {2,4,6,8,12,14,16}

Answer»

A = {3, 6, 9, 12, 15, 18, 21}

B = {2, 4, 6, 8, 10, 12, 14, 16}

C = {5, 10, 15, 20}

Match the following :
$\begin{matrix} A & B 1. B - C & A . {5, 10, 20} 2. A - C & B . {3, 9, 15, 21} 3. C - (A - B) & C . {3, 6, 9, 12, 18, 21} 4. C \cap (A - B) & D . {15} E . {2, 4, 6, 8, 12, 14, 16} \end{matrix}$

Discussion

5235.	In the given figure, AD = CD and AB = CB.(i) State the three pairs of equal parts in ∆ABD and ∆CBD.(ii) Is ∆ABD ≅ ∆CBD? Why or why not?(iii) Does BD bisect ∠ABC? Give reasons.
Answer» In the given figure, AD = CD and AB = CB. (i) State the three pairs of equal parts in ∆ABD and ∆CBD. (ii) Is ∆ABD ≅ ∆CBD? Why or why not? (iii) Does BD bisect ∠ABC? Give reasons.

Discussion

5236.	In the given figure, AD divides ∠BAC in the ratio 1:3. Find the value of X and ∠ADC (in degrees).
Answer» In the given figure, AD divides $∠ B A C$ in the ratio 1:3. Find the value of X and $∠ A D C$ (in degrees).

5236.

In the given figure, AD divides ∠BAC in the ratio 1:3. Find the value of X and ∠ADC (in degrees).

Answer»

In the given figure, AD divides $∠ B A C$ in the ratio 1:3. Find the value of X and $∠ A D C$ (in degrees).

Discussion

5237.	In a parallelogram ABCD, O is the midpoint of intersection of diagonals and OC=3 cm, OB=6 cm. What is AC and BD respectively?
Answer» In a parallelogram ABCD, O is the midpoint of intersection of diagonals and OC= $3 c m$ , OB= $6 c m$ . What is AC and BD respectively?

Discussion

5238.	Prove that, (xaxb)c×(xbxc)a×(xcxa)b=1
Answer» Prove that, ${(\frac{x^{a}}{x^{b}})}^{c} \times {(\frac{x^{b}}{x^{c}})}^{a} \times {(\frac{x^{c}}{x^{a}})}^{b} = 1$

Discussion

5239.	Javed deposited 12000 rupees at 9 p.c.p.a. in a bank for some years, and withdrew his interest every year. At the end of the period, he had received altogether 17,400 rupees. For how many years had he deposited his money ?
Answer» Javed deposited 12000 rupees at 9 p.c.p.a. in a bank for some years, and withdrew his interest every year. At the end of the period, he had received altogether 17,400 rupees. For how many years had he deposited his money ?

Discussion

5240.	What is the value of 500 Mg in kilogram?
Answer» What is the value of 500 Mg in kilogram?

Discussion

5241.	The set represented by the shaded portion of the below Venn - diagram is ___.
Answer» The set represented by the shaded portion of the below Venn - diagram is ___.

5241.

The set represented by the shaded portion of the below Venn - diagram is ___.

Answer»

The set represented by the shaded portion of the below Venn - diagram is ___.

Discussion

5242.	A quadrilateral ABCD is to be constructed. What are the measurements required to construct the quadrilateral ABCD from the given options?
Answer» A quadrilateral ABCD is to be constructed. What are the measurements required to construct the quadrilateral ABCD from the given options?

5242.

A quadrilateral ABCD is to be constructed. What are the measurements required to construct the quadrilateral ABCD from the given options?

Answer»

A quadrilateral ABCD is to be constructed. What are the measurements required to construct the quadrilateral ABCD from the given options?

Discussion

5243.	Question 38 Fill in the blanks to make the statements true. The sum of first six-odd natural numbers is ___
Answer» Question 38 Fill in the blanks to make the statements true. The sum of first six-odd natural numbers is ___

5243.

Question 38 Fill in the blanks to make the statements true. The sum of first six-odd natural numbers is ___

Answer»

Question 38

Fill in the blanks to make the statements true.

The sum of first six-odd natural numbers is ___

Discussion

5244.	For an experiment in botany, two different plants, plant A and plant B, were grown under similar laboratory conditions. Their heights were measured at the end of each week for three weeks. The results are shown by the line graph given below:Study the above graph carefully and answer the questions given below:(i) How high was plant A after (a) 2 weeks (b) 3 weeks?(ii) How high was plant B after (a) 2 weeks (b) 3 weeks?(iii) How much did plant A grow during the 3rd week?(iv) How much did plant B grow from the end of the 2nd week to the end of the 3rd week?(v) During which week did plant A grow most?(vi) During which week did plant B grow least?(vii) Were the two plants of the same height during any week shown here? Specify.
Answer» For an experiment in botany, two different plants, plant A and plant B, were grown under similar laboratory conditions. Their heights were measured at the end of each week for three weeks. The results are shown by the line graph given below: Study the above graph carefully and answer the questions given below: (i) How high was plant A after (a) 2 weeks (b) 3 weeks? (ii) How high was plant B after (a) 2 weeks (b) 3 weeks? (iii) How much did plant A grow during the 3rd week? (iv) How much did plant B grow from the end of the 2nd week to the end of the 3rd week? (v) During which week did plant A grow most? (vi) During which week did plant B grow least? (vii) Were the two plants of the same height during any week shown here? Specify.

Discussion

5245.	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

5246.	If the ratio of areas of a rectangle to a square is 7 : 15 and the perimeter of each of them is 60 cm, then the area of the rectangle is.
Answer» If the ratio of areas of a rectangle to a square is 7 : 15 and the perimeter of each of them is 60 cm, then the area of the rectangle is.

Discussion

5247.	The variable used in the equation 2p + 8 = 18 is ___ .
Answer» The variable used in the equation 2p + 8 = 18 is ___ .

Discussion

5248.	What is the correct definition of Euclid Division Lemma and Euclid's Division Algorithm?
Answer» What is the correct definition of Euclid Division Lemma and Euclid's Division Algorithm?

Discussion

5249.	If 21y5 is multiple of 9, where y is a digit, what is the value of y.
Answer» If 21y5 is multiple of 9, where y is a digit, what is the value of y.

Discussion

5250.	log base3 log base2 log base under root 5 (5^4) is equal to
Answer» log base3 log base2 log base under root 5 (5^4) is equal to

Discussion

Explore topic-wise InterviewSolutions in .

Find a number such that if 8 is subtracted from 9 times the number.The result is more than twice the number

In figure, if ∠AOB=∠COD, then AB:CD=

Find the multiplicative inverse of each of the complex numbers -i

-5 can be written as 5 when subtracting 3 from 8

Out of random() and randint(), which function should we use to generate random numbers between 1 and 5. Justify.

212= ?

If the 3 digit number "3BA" on divided by 10 gives 34 without leaving any remainder, then the value of A + B is:4

The number of possible outcomes when a coin is tossed 6 times, is(a) 36(b) 64(c) 12(d) 32

If 5500 copies are published and the transportation cost on them amounts to Rs. 82500, then what should be the selling price of the book so that the publisher can earn a profit of 25%?

Find and correct the errors in the statement: (2x)2 + 5x = 4x + 5x = 9x

In the given figure, ABCD is a field in the form of a quadrilateral whose sides are indicated. If ∠DAB=90∘. The area of field is :

Question 1 (i)Fill in the blanks using the correct word in the given bracket.(i) All circles are___. (congruent, similar)

Construct a triangle ABC in which BC = 3.6 cm, AB + AC = 4.8 cm and ∠B = 60°.

Given 2 unequal sides and one angle of a parallelogram, how many such parallelograms are possible? [2 MARKS]

The value of i586 is __

Which of the following points lies on the x-axis?

Draw the net of a triangular prism.

When a metal is heated to 100 °C , it expands to three times its original volume. If the volume of the metal at 0 °C was 12.65 mᶟ , what will be its volume when heated upto 400 °C? Note: The rise in volume is constant.

Mark the correct alternative in each of the following:The solution set of the inequation x+2≤5 is(a) (-7, 5)(b) [-7, 3](c) [-5, 5](d) (-7, 3)

Question 198Construct a square in which each diagonal is 5 cm long.

l, m and n are parallel lines intersected by a transversal p at X, Y and Z respectively. Find ∠1, ∠2 and ∠3

Amit earns ₹ 32000 per month. He spends 14 of his income of food; 310 of the remainder on house rent and 521 of the remainder on the education of children. How much money is still left with him?

1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were transferred to another fort and thus the food lasted now for 32 more days. How many soldiers left the fort ?

is the fraction of unshaded petals in the given picture.

If one side of a cube is 13 m, its volume will be _______.

Question 91 (vii)Factorise the following:18+11x+x2

Question 7 Find ten rationals between 35 and 34.

Question 4 (i) Find the square roots of the following numbers by the Prime Factorization method: 729

Which of the folloiwng sets of angles can form a triangle?

If 18 dolls cost ₹630, how many dolls can be bought for ₹455?

In CAT exam, Kevin scored 98% in the first attempt, 82% in the second attempt and 95% in the third attempt. This data can be best represented by

Question 39In the following question, fill in the blanks to make the statements true.The expression for 8−2 as a power with the base 2 is ___.

A = {3, 6, 9, 12, 15, 18, 21} B = {2, 4, 6, 8, 10, 12, 14, 16} C = {5, 10, 15, 20} Match the following : AB 1. B−C A. {5,10,20} 2. A−C B. {3,9,15,21} 3. C−(A−B) C. {3,6,9,12,18,21} 4. C∩(A−B) D. {15} E. {2,4,6,8,12,14,16}

In the given figure, AD = CD and AB = CB.(i) State the three pairs of equal parts in ∆ABD and ∆CBD.(ii) Is ∆ABD ≅ ∆CBD? Why or why not?(iii) Does BD bisect ∠ABC? Give reasons.

In the given figure, AD divides ∠BAC in the ratio 1:3. Find the value of X and ∠ADC (in degrees).

In a parallelogram ABCD, O is the midpoint of intersection of diagonals and OC=3 cm, OB=6 cm. What is AC and BD respectively?

Prove that, (xaxb)c×(xbxc)a×(xcxa)b=1

Javed deposited 12000 rupees at 9 p.c.p.a. in a bank for some years, and withdrew his interest every year. At the end of the period, he had received altogether 17,400 rupees. For how many years had he deposited his money ?

What is the value of 500 Mg in kilogram?

The set represented by the shaded portion of the below Venn - diagram is ___.

A quadrilateral ABCD is to be constructed. What are the measurements required to construct the quadrilateral ABCD from the given options?

Question 38 Fill in the blanks to make the statements true. The sum of first six-odd natural numbers is ___

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

If the ratio of areas of a rectangle to a square is 7 : 15 and the perimeter of each of them is 60 cm, then the area of the rectangle is.

The variable used in the equation 2p + 8 = 18 is ___ .

What is the correct definition of Euclid Division Lemma and Euclid's Division Algorithm?

If 21y5 is multiple of 9, where y is a digit, what is the value of y.

log base3 log base2 log base under root 5 (5^4) is equal to