25365 + Interview Questions in Mathematics

1.	Monika purchased following items from a 'Khadi - Bhandar'. (i) 3 shirts for ₹560 each (ii) 6 apple cider bottles for ₹90 each On this purchase, she paid a total amount of ₹1953.60. Find the rate of rebate provided.
Answer» Monika purchased following items from a 'Khadi - Bhandar'. (i) 3 shirts for ₹560 each (ii) 6 apple cider bottles for ₹90 each On this purchase, she paid a total amount of ₹1953.60. Find the rate of rebate provided.

Discussion

2.	Mrs. Sinha purchased a plot of perimeter 2400 m the breadth of the plot is half the length of the plot she decided to established a square shaped school for poor people of perimeter 240 m Ques. Calculate the side of the square plot for the school
Answer» Mrs. Sinha purchased a plot of perimeter 2400 m the breadth of the plot is half the length of the plot she decided to established a square shaped school for poor people of perimeter 240 m Ques. Calculate the side of the square plot for the school

Discussion

3.	Top surface of a table is trapezium in shape.Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m.
Answer» Top surface of a table is trapezium in shape.Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m.

3.

Top surface of a table is trapezium in shape.Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m.

Answer»

Top surface of a table is trapezium in shape.Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m.

Discussion

4.	If f(x)+2f(1x)=3x, x≠0 and S=xϵR:f(x)=f(−x); then S
Answer» If $f (x) + 2 f (\frac{1}{x}) = 3 x, x \neq 0 a n d S = x ϵ R : f (x) = f (- x)$ ; then S

Discussion

5.	an almira is sold at rs 5225 after following discount of 5% find its market price
Answer» an almira is sold at rs 5225 after following discount of 5% find its market price

Discussion

6.	Which of the following number is not a perfect square? (a) 1156 (b) 4787 (c) 2704 (d) 3969
Answer» Which of the following number is not a perfect square? (a) $1156$ (b) $4787$ (c) $2704$ (d) $3969$

Discussion

7.	The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. Calculate the ratio of their volumes.
Answer» The radii of two cylinders are in the ratio $2 : 3$ and their heights are in the ratio $5 : 3.$ Calculate the ratio of their volumes.

Discussion

8.	Write the cubes of 5 natural numbers which are of hte form 3n +1(e.g. 4,7,10,...) and erify the following : 'The cube of a natural number of the form 3n + 1 is a natural number of the same form i.e. when divided by 3 it leave the remainder 1 '.
Answer» Write the cubes of 5 natural numbers which are of hte form 3n +1(e.g. 4,7,10,...) and erify the following : 'The cube of a natural number of the form 3n + 1 is a natural number of the same form i.e. when divided by 3 it leave the remainder 1 '.

8.

Write the cubes of 5 natural numbers which are of hte form 3n +1(e.g. 4,7,10,...) and erify the following : 'The cube of a natural number of the form 3n + 1 is a natural number of the same form i.e. when divided by 3 it leave the remainder 1 '.

Answer»

Write the cubes of 5 natural numbers which are of hte form 3n +1(e.g. 4,7,10,...) and erify the following :
'The cube of a natural number of the form 3n + 1 is a natural number of the same form i.e. when divided by 3 it leave the remainder 1 '.

Discussion

9.	Question 70 A car covers a distance in 40 minutes with an average speed of 60 km/h. What should be the average speed to cover the same distance in 25 minutes?
Answer» Question 70 A car covers a distance in 40 minutes with an average speed of 60 km/h. What should be the average speed to cover the same distance in 25 minutes?

9.

Question 70 A car covers a distance in 40 minutes with an average speed of 60 km/h. What should be the average speed to cover the same distance in 25 minutes?

Answer»

Question 70

A car covers a distance in 40 minutes with an average speed of 60 km/h.
What should be the average speed to cover the same distance in 25 minutes?

Discussion

10.	Y-3x=1. This question varies directly or indirectly. Why
Answer» Y-3x=1. This question varies directly or indirectly. Why

Discussion

11.	The areas of three adjacent faces of a cuboid are x, y and z. If the volume is V, prove that V2=xyz .
Answer» The areas of three adjacent faces of a cuboid are x, y and z. If the volume is V, prove that $V^{2} = x y z$ .

Discussion

12.	Solve each of the following equations and also verify your solution : 72x−52x=203x+10
Answer» Solve each of the following equations and also verify your solution : $\frac{7}{2} x - \frac{5}{2} x = \frac{20}{3} x + 10$

12.

Solve each of the following equations and also verify your solution : 72x−52x=203x+10

Answer»

Solve each of the following equations and also verify your solution :

$\frac{7}{2} x - \frac{5}{2} x = \frac{20}{3} x + 10$

Discussion

13.	Find the common factor(s) of 15x3,4x2 and 10x.
Answer» Find the common factor(s) of $15 x^{3}, 4 x^{2} and 10 x .$

Discussion

14.	Find the amount that David would receive if he invests Rs. 8192 for 18 months at 1212% per annum, the interest being compounded half-yearly.
Answer» Find the amount that David would receive if he invests Rs. 8192 for 18 months at $12 \frac{1}{2} %$ per annum, the interest being compounded half-yearly.

Discussion

15.	Question 96 Every whole number is a rational number
Answer» Question 96 Every whole number is a rational number

Discussion

16.	If the fan has 6 blades, then what is the angle of symmetry of blades in degrees?60
Answer» If the fan has 6 blades, then what is the angle of symmetry of blades in degrees? 60

Discussion

17.	Represent the given data in table using an appropiate graph. Weights(Kg)40−4545−5050−5555−6060−65No.ofPerson4121365
Answer» Represent the given data in table using an appropiate graph. $\begin{matrix} W e i g h t s (K g) & 40 - 45 & 45 - 50 & 50 - 55 & 55 - 60 & 60 - 65 N o . o f P e r s o n & 4 & 12 & 13 & 6 & 5 \end{matrix}$

17.

Represent the given data in table using an appropiate graph. Weights(Kg)40−4545−5050−5555−6060−65No.ofPerson4121365

Answer»

Represent the given data in table using an appropiate graph.

$\begin{matrix} W e i g h t s (K g) & 40 - 45 & 45 - 50 & 50 - 55 & 55 - 60 & 60 - 65 N o . o f P e r s o n & 4 & 12 & 13 & 6 & 5 \end{matrix}$

Discussion

18.	The list price of a frock is ₹220. A discount of 20% is announced on sales. The sale price (in ₹) is ___
Answer» The list price of a frock is ₹220. A discount of 20% is announced on sales. The sale price (in ₹) is ___

Discussion

19.	In the figure x, y and z are the internal angles of △ABD. Line ED∥AB and side AD is extended to point P and the value of ∠EDP and ∠EDB are n and m, respectively. Then, the values of n and m are ______ and _______, respectively.
Answer» In the figure $x, y$ and $z$ are the internal angles of $△ A B D .$ Line $E D ∥ A B$ and side $A D$ is extended to point $P$ and the value of $∠ E D P$ and $∠ E D B$ are $n$ and $m,$ respectively. Then, the values of $n$ and $m$ are ______ and _______, respectively.

19.

In the figure x, y and z are the internal angles of △ABD. Line ED∥AB and side AD is extended to point P and the value of ∠EDP and ∠EDB are n and m, respectively. Then, the values of n and m are and _, respectively.

Answer»

In the figure $x, y$ and $z$ are the internal angles of $△ A B D .$ Line $E D ∥ A B$ and side $A D$ is extended to point $P$ and the value of $∠ E D P$ and $∠ E D B$ are $n$ and $m,$ respectively. Then, the values of $n$ and $m$ are ______ and _______, respectively.

Discussion

20.	Factorize (x) to the power 4 + (x)square + 1
Answer» Factorize (x) to the power 4 + (x)square + 1

Discussion

21.	The lengths of the parallel sides of a trapezium are 30 cm and 10 cm, and the distance between them is 20 cm. What is its area?
Answer» The lengths of the parallel sides of a trapezium are 30 cm and 10 cm, and the distance between them is 20 cm. What is its area?

Discussion

22.	Question 3 For each given solid, identify the top view, front view and side view.
Answer» Question 3 For each given solid, identify the top view, front view and side view.

Discussion

23.	Question 5(i) Show that: (3x+7)2−84x=(3x−7)2
Answer» Question 5(i) Show that: $(3 x + 7)^{2} - 84 x = (3 x - 7)^{2}$

Discussion

24.	Question 3 Construct the Rhombus BEND where BN=5.6 cm, DE=6.5 cm
Answer» Question 3 Construct the Rhombus BEND where BN=5.6 cm, DE=6.5 cm

Discussion

25.	On what date will ₹1950 lent on 5th January, 2011 amount to ₹2125.50 at 5 percent per annum simple interest?
Answer» On what date will ₹1950 lent on 5th January, 2011 amount to ₹2125.50 at 5 percent per annum simple interest?

Discussion

26.	Which natural number is equal to its cube?
Answer» Which natural number is equal to its cube?

Discussion

27.	A parallelogram can be constructed if:
Answer» A parallelogram can be constructed if:

Discussion

28.	If the area of a triangle is 49 cm2 and its base is double the height, then find the height of the triangle.
Answer» If the area of a triangle is $49 c m^{2}$ and its base is double the height, then find the height of the triangle.

Discussion

29.	The given table shows daily temperatures for Delhi, recorded for 6 days, in degrees Celsius. Plot a line graph. Which of the following statements is true. (Temperature in Delhi)DayTemperature16∘C212∘C310∘C414∘C515∘C619∘C
Answer» $T h e g i v e n t a b l e s h o w s d a i l y t e m p e r a t u r e s f o r D e l h i, r e c o r d e d f o r 6 d a y s, i n d e g r e e s C e l s i u s . P l o t a l i n e g r a p h . W h i c h o f t h e f o l l o w i n g s t a t e m e n t s i s t r u e .$ $\begin{matrix} (T e m p e r a t u r e i n D e l h i) Day & Temperature 1 & 6^{\circ} C 2 & 12^{\circ} C 3 & 10^{\circ} C 4 & 14^{\circ} C 5 & 15^{\circ} C 6 & 19^{\circ} C \end{matrix}$

Discussion

30.	The number of a fractor is less than the denominator . If 3is added to the numberator the fractor is equal to 2/3
Answer» The number of a fractor is less than the denominator . If 3is added to the numberator the fractor is equal to 2/3

Discussion

31.	The sum of the digits of a two digit no number is 7 the number obtained by interchanging the digits exceed the original number by 27 find the number
Answer» The sum of the digits of a two digit no number is 7 the number obtained by interchanging the digits exceed the original number by 27 find the number

Discussion

32.	Ramu's salary increased by 20% and then decreased by 30%.The effective change in his salary was ₹8560. What is his original salary?
Answer» Ramu's salary increased by 20% and then decreased by 30%.The effective change in his salary was ₹8560. What is his original salary?

Discussion

33.	If √1369+√0.0615+x=37.25. Find the value of x.
Answer» If $\sqrt{1369} + \sqrt{0.0615 + x} = 37.25$ . Find the value of $x$ .

Discussion

34.	The sum of two consecutive triangular numbers gives a __ number.
Answer» The sum of two consecutive triangular numbers gives a __ number.

Discussion

35.	The tens and ones digits of a two-digit number are the same.When the number is added to its reverse, the sum is 88. What is the number?
Answer» The tens and ones digits of a two-digit number are the same.When the number is added to its reverse, the sum is 88. What is the number?

Discussion

36.	Question 86: Express the given information in Scientific notation (standard form) and then arrange them in ascending order of their size. S.N. Deserts of the WorldArea(in sq km) 1.Kalahari, South Africa 932,400 2.Thar, India 199,430 3.Gibson, Australia 155,400 4.Great Victoria, Australia 647,500 5.Sahara, North Africa 8598,800
Answer» Question 86: Express the given information in Scientific notation (standard form) and then arrange them in ascending order of their size. $\begin{matrix} S . N . & D e s e r t s o f t h e W o r l d & A r e a (i n s q k m) 1. & K a l a h a r i, S o u t h A f r i c a & 932, 400 2. & T h a r, I n d i a & 199, 430 3. & G i b s o n, A u s t r a l i a & 155, 400 4. & G r e a t V i c t o r i a, A u s t r a l i a & 647, 500 5. & S a h a r a, N o r t h A f r i c a & 8598, 800 \end{matrix}$

Discussion

37.	Evaluate a3+b3+c3−3abc(a+b+c),where(a+b+c)≠0.
Answer» Evaluate $\frac{a^{3} + b^{3} + c^{3} - 3 a b c}{(a + b + c)}, where (a + b + c) \neq 0$ .

Discussion

38.	The area of figure 1 (in cm2) and area of figure 2 (in cm2) are ___ and ___ respectively.
Answer» The area of figure 1 (in $c m^{2}$ ) and area of figure 2 (in $c m^{2}$ ) are ___ and ___ respectively.

38.

The area of figure 1 (in cm2) and area of figure 2 (in cm2) are _ and _ respectively.

Answer»

The area of figure 1 (in $c m^{2}$ ) and area of figure 2 (in $c m^{2}$ ) are ___ and ___ respectively.

Discussion

39.	Question 1 (b) Complete the following statement: Among two congruent angles one has a measure of 70∘, the measure of other angle is ___.
Answer» Question 1 (b) Complete the following statement: Among two congruent angles one has a measure of $70^{\circ}$ , the measure of other angle is ___.

Discussion

40.	Using the given diagram, express the following sets in the terms of A and B. (i) {a,d} (ii) (a,d,c,f) (iii) {a,d,c,f,g,h} (iv) {a,d,g,h} (v) {g,h}
Answer» Using the given diagram, express the following sets in the terms of A and B. (i) {a,d} (ii) (a,d,c,f) (iii) {a,d,c,f,g,h} (iv) {a,d,g,h} (v) {g,h}

40.

Using the given diagram, express the following sets in the terms of A and B. (i) {a,d} (ii) (a,d,c,f) (iii) {a,d,c,f,g,h} (iv) {a,d,g,h} (v) {g,h}

Answer»

Using the given diagram, express the following sets in the terms of A and B.

(i) {a,d}

(ii) (a,d,c,f)

(iii) {a,d,c,f,g,h}

(iv) {a,d,g,h}

(v) {g,h}

Discussion

41.	Question 4 A cuboid is of dimensions 60 cm × 54 cm × 30 cm. How many can small cubes with side 6 cm be placed in the given cuboid?
Answer» Question 4 A cuboid is of dimensions 60 cm $\times$ 54 cm $\times$ 30 cm. How many can small cubes with side 6 cm be placed in the given cuboid?

Discussion

42.	A's salary is same as 4 times B's salary. If they together earn ₹7500 per month, find A's salary.
Answer» A's salary is same as 4 times B's salary. If they together earn ₹7500 per month, find A's salary.

Discussion

43.	Question 91 (xi) Factorise the following: y2+7y+12
Answer» Question 91 (xi) Factorise the following: $y^{2} + 7 y + 12$

Discussion

44.	Which of the following is definitely not a perfect square?
Answer» Which of the following is definitely not a perfect square?

Discussion

45.	i) Percentage of people in the height range of 149.5 - 159.5 cm is equal to ______ ii) Percentage difference between height group 159.5 - 169.5 cm and 169.5 - 179.5cm
Answer» i) Percentage of people in the height range of 149.5 - 159.5 cm is equal to ______ ii) Percentage difference between height group 159.5 - 169.5 cm and 169.5 - 179.5cm

45.

i) Percentage of people in the height range of 149.5 - 159.5 cm is equal to ______ ii) Percentage difference between height group 159.5 - 169.5 cm and 169.5 - 179.5cm

Answer»

i) Percentage of people in the height range of 149.5 - 159.5 cm is equal to ______

ii) Percentage difference between height group 159.5 - 169.5 cm and 169.5 - 179.5cm

Discussion

46.	Abhi wants to buy a trapezium-shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500 m2 and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.
Answer» Abhi wants to buy a trapezium-shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is $10500 m^{2}$ and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.

Discussion

47.	Vinod is now3 times as old as her sister Kajal. In 4 more years he will be twice as old as Kajal will be then. How old are they now?
Answer» Vinod is now3 times as old as her sister Kajal. In 4 more years he will be twice as old as Kajal will be then. How old are they now?

Discussion

48.	What is the measure of any exterior angle of a regular octagon?
Answer» What is the measure of any exterior angle of a regular octagon?

Discussion

49.	A line has __ length.
Answer» A line has __ length.

Discussion

50.	[√(n-1)][√(n+1)]
Answer» [√(n-1)][√(n+1)]

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Monika purchased following items from a 'Khadi - Bhandar'. (i) 3 shirts for ₹560 each (ii) 6 apple cider bottles for ₹90 each On this purchase, she paid a total amount of ₹1953.60. Find the rate of rebate provided.

Mrs. Sinha purchased a plot of perimeter 2400 m the breadth of the plot is half the length of the plot she decided to established a square shaped school for poor people of perimeter 240 m Ques. Calculate the side of the square plot for the school

Top surface of a table is trapezium in shape.Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m.

If f(x)+2f(1x)=3x, x≠0 and S=xϵR:f(x)=f(−x); then S

an almira is sold at rs 5225 after following discount of 5% find its market price

Which of the following number is not a perfect square? (a) 1156 (b) 4787 ​​​​​​​(c) 2704 ​​​​​​​(d) 3969

The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. Calculate the ratio of their volumes.

Write the cubes of 5 natural numbers which are of hte form 3n +1(e.g. 4,7,10,...) and erify the following : 'The cube of a natural number of the form 3n + 1 is a natural number of the same form i.e. when divided by 3 it leave the remainder 1 '.

Question 70 A car covers a distance in 40 minutes with an average speed of 60 km/h. What should be the average speed to cover the same distance in 25 minutes?

Y-3x=1. This question varies directly or indirectly. Why

The areas of three adjacent faces of a cuboid are x, y and z. If the volume is V, prove that V2=xyz .

Solve each of the following equations and also verify your solution : 72x−52x=203x+10

Find the common factor(s) of 15x3,4x2 and 10x.

Find the amount that David would receive if he invests Rs. 8192 for 18 months at 1212% per annum, the interest being compounded half-yearly.

Question 96 Every whole number is a rational number

If the fan has 6 blades, then what is the angle of symmetry of blades in degrees?60

Represent the given data in table using an appropiate graph. Weights(Kg)40−4545−5050−5555−6060−65No.ofPerson4121365

The list price of a frock is ₹220. A discount of 20% is announced on sales. The sale price (in ₹) is ___

In the figure x, y and z are the internal angles of △ABD. Line ED∥AB and side AD is extended to point P and the value of ∠EDP and ∠EDB are n and m, respectively. Then, the values of n and m are ______ and _______, respectively.

Factorize (x) to the power 4 + (x)square + 1

The lengths of the parallel sides of a trapezium are 30 cm and 10 cm, and the distance between them is 20 cm. What is its area?

Question 3 For each given solid, identify the top view, front view and side view.

Question 5(i) Show that: (3x+7)2−84x=(3x−7)2

Question 3 Construct the Rhombus BEND where BN=5.6 cm, DE=6.5 cm

On what date will ₹1950 lent on 5th January, 2011 amount to ₹2125.50 at 5 percent per annum simple interest?

Which natural number is equal to its cube?

A parallelogram can be constructed if:

If the area of a triangle is 49 cm2 and its base is double the height, then find the height of the triangle.

The given table shows daily temperatures for Delhi, recorded for 6 days, in degrees Celsius. Plot a line graph. Which of the following statements is true. (Temperature in Delhi)DayTemperature16∘C212∘C310∘C414∘C515∘C619∘C

The number of a fractor is less than the denominator . If 3is added to the numberator the fractor is equal to 2/3

The sum of the digits of a two digit no number is 7 the number obtained by interchanging the digits exceed the original number by 27 find the number

Ramu's salary increased by 20% and then decreased by 30%.The effective change in his salary was ₹8560. What is his original salary?

If √1369+√0.0615+x=37.25. Find the value of x.

The sum of two consecutive triangular numbers gives a __ number.

The tens and ones digits of a two-digit number are the same.When the number is added to its reverse, the sum is 88. What is the number?

Evaluate a3+b3+c3−3abc(a+b+c),where(a+b+c)≠0.

The area of figure 1 (in cm2​) and area of figure 2 (in cm2​) are ___ and ___ respectively.

Question 1 (b) Complete the following statement: Among two congruent angles one has a measure of 70∘, the measure of other angle is ___.

Using the given diagram, express the following sets in the terms of A and B. (i) {a,d} (ii) (a,d,c,f) (iii) {a,d,c,f,g,h} (iv) {a,d,g,h} (v) {g,h}

Question 4 A cuboid is of dimensions 60 cm × 54 cm × 30 cm. How many can small cubes with side 6 cm be placed in the given cuboid?

A's salary is same as 4 times B's salary. If they together earn ₹7500 per month, find A's salary.

Question 91 (xi) Factorise the following: y2+7y+12

Which of the following is definitely not a perfect square?

i) Percentage of people in the height range of 149.5 - 159.5 cm is equal to ______ ii) Percentage difference between height group 159.5 - 169.5 cm and 169.5 - 179.5cm

Abhi wants to buy a trapezium-shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500 m2 and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.

Vinod is now3 times as old as her sister Kajal. In 4 more years he will be twice as old as Kajal will be then. How old are they now?

What is the measure of any exterior angle of a regular octagon?

A line has __ length.

[√(n-1)][√(n+1)]

Which of the following number is not a perfect square? (a) 1156 (b) 4787 (c) 2704 (d) 3969

In the figure x, y and z are the internal angles of △ABD. Line ED∥AB and side AD is extended to point P and the value of ∠EDP and ∠EDB are n and m, respectively. Then, the values of n and m are and _, respectively.

The area of figure 1 (in cm2) and area of figure 2 (in cm2) are _ and _ respectively.