25365 + Interview Questions in Mathematics

1.	A student has got 32 marks out of 50. Find the percentage of marks he got.
Answer» A student has got 32 marks out of 50. Find the percentage of marks he got.

1.

A student has got 32 marks out of 50. Find the percentage of marks he got.

Answer»

A student has got 32 marks out of 50. Find the percentage of marks he got.

2.	What will be the unit digit of the square of 91?
Answer» What will be the unit digit of the square of 91?

Discussion

3.	If ABCD is a parallelogram, then the angle bisectors of ∠A and ∠D meet at ‘O’. The measure of ∠AOD is 45∘
Answer» If ABCD is a parallelogram, then the angle bisectors of $∠ A$ and $∠ D$ meet at ‘O’. The measure of $∠ A O D$ is $45^{\circ}$

Discussion

4.	The probability to be a year younger next year is ___.
Answer» The probability to be a year younger next year is ___.

Discussion

5.	Divide Rs.500 among three workers in such a way that each worker will get in the ratio of 2 : 3 : 5. Find the share of each person. [4 MARKS]
Answer» Divide Rs.500 among three workers in such a way that each worker will get in the ratio of 2 : 3 : 5. Find the share of each person. [4 MARKS]

Discussion

6.	1 micron equals to
Answer» 1 micron equals to

Discussion

7.	A wall needs to be constructed with height 21m. It should be able to store 16.5 lakh liters of water. The volume of earth dig out is 2376 m3. What is the volume of concrete to be mixed to build the well?
Answer» A wall needs to be constructed with height 21m. It should be able to store 16.5 lakh liters of water. The volume of earth dig out is 2376 $m^{3}$ . What is the volume of concrete to be mixed to build the well?

Discussion

8.	Factorize i.) 5p2−25p+20 ii.) x2+11x+28 [3 MARKS]
Answer» Factorize i.) $5 p^{2} - 25 p + 20$ ii.) $x^{2} + 11 x + 28$ [3 MARKS]

Discussion

9.	In the square ABCD below, what is the measure of ∠AOB?
Answer» In the square ABCD below, what is the measure of $∠ A O B$ ?

9.

In the square ABCD below, what is the measure of ∠AOB?

Answer»

In the square ABCD below, what is the measure of $∠ A O B$ ?

Discussion

10.	72 as a product of its prime factors can be represented as ______ .
Answer» 72 as a product of its prime factors can be represented as ______ .

Discussion

11.	Which of the following is/are true about like terms?
Answer» Which of the following is/are true about like terms?

Discussion

12.	Find an angle which is two-thirds of its complement.
Answer» Find an angle which is two-thirds of its complement.

Discussion

13.	The expansion of (x+2y+3z)2 is :
Answer» The expansion of $(x + 2 y + 3 z)^{2}$ is :

Discussion

14.	‘p’ and ‘q’ are the zeroes of the polynomial ax2+bx+c=0. (x−p) and (x−q) are the only factors of the expression ax2+bx+c, The values of a and b are:
Answer» ‘p’ and ‘q’ are the zeroes of the polynomial $a x^{2} + b x + c = 0$ . $(x - p)$ and $(x - q)$ are the only factors of the expression $a x^{2} + b x + c$ , The values of $a$ and $b$ are:

14.

‘p’ and ‘q’ are the zeroes of the polynomial ax2+bx+c=0. (x−p) and (x−q) are the only factors of the expression ax2+bx+c, The values of a and b are:

Answer»

‘p’ and ‘q’ are the zeroes of the polynomial $a x^{2} + b x + c = 0$ .

$(x - p)$ and $(x - q)$ are the only factors of the expression $a x^{2} + b x + c$ ,

The values of $a$ and $b$ are:

Discussion

15.	Question 112 (i) Use the following figure, showing the layout of a farmhouse. What is the area of land used to grow hay?
Answer» Question 112 (i) Use the following figure, showing the layout of a farmhouse. What is the area of land used to grow hay?

15.

Question 112 (i) Use the following figure, showing the layout of a farmhouse. What is the area of land used to grow hay?

Answer»

Question 112 (i)

Use the following figure, showing the layout of a farmhouse.

What is the area of land used to grow hay?

Discussion

16.	Question 59 State whether the following statement is true or false: Two cylinders with equal volume will always have equal surface area.
Answer» Question 59 State whether the following statement is true or false: Two cylinders with equal volume will always have equal surface area.

16.

Question 59 State whether the following statement is true or false: Two cylinders with equal volume will always have equal surface area.

Answer»

Question 59

State whether the following statement is true or false:

Two cylinders with equal volume will always have equal surface area.

Discussion

17.	Is it possible to construct a unique quadrilateral ABCD with AB = 5cm, BC = 6cm, CD= 7cm, ∠ABC = 40∘ and ∠ BCD = 55∘?
Answer» Is it possible to construct a unique quadrilateral ABCD with AB = 5cm, BC = 6cm, CD= 7cm, $∠$ ABC = $40^{\circ}$ and $∠$ BCD = $55^{\circ}$ ?

Discussion

18.	Evaluate using factors 4012×400−4003
Answer» Evaluate using factors $401^{2} \times 400 - 400^{3}$

Discussion

19.	Which of the following are true? i) All squares are rhombuses. ii) All parallelograms are rectangles. iii) All rhombuses are kites. iv) All squares are rectangles.
Answer» Which of the following are true? i) All squares are rhombuses. ii) All parallelograms are rectangles. iii) All rhombuses are kites. iv) All squares are rectangles.

19.

Which of the following are true? i) All squares are rhombuses. ii) All parallelograms are rectangles. iii) All rhombuses are kites. iv) All squares are rectangles.

Answer»

Which of the following are true?

i) All squares are rhombuses.

ii) All parallelograms are rectangles.

iii) All rhombuses are kites.

iv) All squares are rectangles.

Discussion

20.	The distance travelled by a superjet is (x−6)2 m in time x2−62 secs, then the speed of the superjet is m/sec.
Answer» The distance travelled by a superjet is $(x - 6)^{2}$ m in time $x^{2} - 6^{2}$ secs, then the speed of the superjet is m/sec.

Discussion

21.	Meenal lends Rs. 75,000 at C.I. for 3 years. If the rate of interest for the first two years is 15% per year and for the third year it is 16%, calculate the sum Meenal will get at the end of the third year.
Answer» Meenal lends Rs. 75,000 at C.I. for 3 years. If the rate of interest for the first two years is 15% per year and for the third year it is 16%, calculate the sum Meenal will get at the end of the third year.

Discussion

22.	Sonu and Raju have to collect different kinds of leaves for science project. They went to a park where Sonu collected 12 leaves and Raju collected x leaves. After sometime Sonu lost 3 leaves and Raju collects 2x leaves. Write an algebraic expression to find the total number of leaves collected by both of them. [4 MARKS]
Answer» Sonu and Raju have to collect different kinds of leaves for science project. They went to a park where Sonu collected 12 leaves and Raju collected x leaves. After sometime Sonu lost 3 leaves and Raju collects 2x leaves. Write an algebraic expression to find the total number of leaves collected by both of them. [4 MARKS]

Discussion

23.	Given: Area of parallelogram = Base × Height Statement 1: A diagonal of a parallelogram divides it into two congruent triangles. Statement 2: Areas of two congruent triangles are exactly equal. Chose the correct option.
Answer» Given: Area of parallelogram = Base $\times$ Height Statement 1: A diagonal of a parallelogram divides it into two congruent triangles. Statement 2: Areas of two congruent triangles are exactly equal. Chose the correct option.

23.

Given: Area of parallelogram = Base × Height Statement 1: A diagonal of a parallelogram divides it into two congruent triangles. Statement 2: Areas of two congruent triangles are exactly equal. Chose the correct option.

Answer»

Given: Area of parallelogram = Base $\times$ Height

Statement 1: A diagonal of a parallelogram divides it into two congruent triangles.

Statement 2: Areas of two congruent triangles are exactly equal.

Chose the correct option.

Discussion

24.	The volume of a cuboid of height 18 cm, length 10 cm, and breadth 5 cm is equal to _________.
Answer» The volume of a cuboid of height 18 cm, length 10 cm, and breadth 5 cm is equal to _________.

Discussion

25.	The table shows the number of cups of four different beverages sold by a coffee shop in a certain day. BeverageNumber of cupsCoffee60Tea75Hot chocolate25Milk40 What is the angle of the sector in a pie chart representing tea?
Answer» The table shows the number of cups of four different beverages sold by a coffee shop in a certain day. $\begin{matrix} B e v e r a g e & N u m b e r o f c u p s C o f f e e & 60 T e a & 75 H o t c h o c o l a t e & 25 M i l k & 40 \end{matrix}$ What is the angle of the sector in a pie chart representing tea?

Discussion

26.	Following questions are based on the pie chart that shows the viewership of different channels in the month of February 2006 in India. There are no overlaps of viewership in channels. Q21. If 60,000 people watched CVO on a per day average in February 2006, then how many more people watched Zee Sports than Star Sports on a per day average for the same period? निम्नलिखित प्रश्न पाई चार्ट पर आधारित है, जो भारत में फरवरी 2006 के महीने में विभिन्न चैनलों के दर्शकों की संख्या दर्शाती है। चैनलों में दर्शकों की कोई अतिव्यापी नहीं है। Q21. यदि प्रतिदिन औसत 60,000 लोगों ने फरवरी 2006 में CVO देखा, तो उसी अवधि के लिए प्रति दिन औसतन स्टार स्पोर्ट्स की तुलना में ज़ी स्पोर्ट्स को कितनों ने देखा?
Answer» Following questions are based on the pie chart that shows the viewership of different channels in the month of February 2006 in India. There are no overlaps of viewership in channels. Q21. If 60,000 people watched CVO on a per day average in February 2006, then how many more people watched Zee Sports than Star Sports on a per day average for the same period? निम्नलिखित प्रश्न पाई चार्ट पर आधारित है, जो भारत में फरवरी 2006 के महीने में विभिन्न चैनलों के दर्शकों की संख्या दर्शाती है। चैनलों में दर्शकों की कोई अतिव्यापी नहीं है। Q21. यदि प्रतिदिन औसत 60,000 लोगों ने फरवरी 2006 में CVO देखा, तो उसी अवधि के लिए प्रति दिन औसतन स्टार स्पोर्ट्स की तुलना में ज़ी स्पोर्ट्स को कितनों ने देखा?

26.

Following questions are based on the pie chart that shows the viewership of different channels in the month of February 2006 in India. There are no overlaps of viewership in channels. Q21. If 60,000 people watched CVO on a per day average in February 2006, then how many more people watched Zee Sports than Star Sports on a per day average for the same period? निम्नलिखित प्रश्न पाई चार्ट पर आधारित है, जो भारत में फरवरी 2006 के महीने में विभिन्न चैनलों के दर्शकों की संख्या दर्शाती है। चैनलों में दर्शकों की कोई अतिव्यापी नहीं है। Q21. यदि प्रतिदिन औसत 60,000 लोगों ने फरवरी 2006 में CVO देखा, तो उसी अवधि के लिए प्रति दिन औसतन स्टार स्पोर्ट्स की तुलना में ज़ी स्पोर्ट्स को कितनों ने देखा?

Answer»

Following questions are based on the pie chart that shows the viewership of different channels in the month of February 2006 in India. There are no overlaps of viewership in channels.

Q21. If 60,000 people watched CVO on a per day average in February 2006, then how many more people watched Zee Sports than Star Sports on a per day average for the same period?

निम्नलिखित प्रश्न पाई चार्ट पर आधारित है, जो भारत में फरवरी 2006 के महीने में विभिन्न चैनलों के दर्शकों की संख्या दर्शाती है। चैनलों में दर्शकों की कोई अतिव्यापी नहीं है।

Q21. यदि प्रतिदिन औसत 60,000 लोगों ने फरवरी 2006 में CVO देखा, तो उसी अवधि के लिए प्रति दिन औसतन स्टार स्पोर्ट्स की तुलना में ज़ी स्पोर्ट्स को कितनों ने देखा?

Discussion

27.	By how much is 5a2b2−18ab2−10a2b bigger than −5a2+6a2b−7ab?
Answer» By how much is $5 a^{2} b^{2} - 18 a b^{2} - 10 a^{2} b$ bigger than $- 5 a^{2} + 6 a^{2} b - 7 a b$ ?

Discussion

28.	If √2=1.4142, then the square of 14.142 should approximately be?
Answer» If $\sqrt{2} = 1.4142$ , then the square of $14.142$ should approximately be?

Discussion

29.	Solve : (i) 13x−6=52(ii) 2x3−3x8=712(iii) (x+2)(x+3)+(x−3)(x−2)−2x(x+1)=0(iv) 110−7x=35(v) 13(x−4)−3(x−9)−4(x+4)=0(vi) x+7−8x3=17x6−5x8(vii) 3x−24−2x+33=23−x(viii) x+26−(11−x3−14)=3x−412(ix) 25x−53x=115(x) x+23−x+15=x−34−1(xi) 3x−23+2x+32=x+76(xii) x−x−12=1−x−23(xiii) 9x+72−(x−x−27)=36(xiv) 6x+12+1=7x−33
Answer» Solve : $(i) \frac{1}{3} x - 6 = \frac{5}{2} (i i) \frac{2 x}{3} - \frac{3 x}{8} = \frac{7}{12} (i i i) (x + 2) (x + 3) + (x - 3) (x - 2) - 2 x (x + 1) = 0 (i v) \frac{1}{10} - \frac{7}{x} = 35 (v) 13 (x - 4) - 3 (x - 9) - 4 (x + 4) = 0 (v i) x + 7 - \frac{8 x}{3} = \frac{17 x}{6} - \frac{5 x}{8} (v i i) \frac{3 x - 2}{4} - \frac{2 x + 3}{3} = \frac{2}{3} - x (v i i i) \frac{x + 2}{6} - (\frac{11 - x}{3} - \frac{1}{4}) = \frac{3 x - 4}{12} (i x) \frac{2}{5 x} - \frac{5}{3 x} = \frac{1}{15} (x) \frac{x + 2}{3} - \frac{x + 1}{5} = \frac{x - 3}{4} - 1 (x i) \frac{3 x - 2}{3} + \frac{2 x + 3}{2} = x + \frac{7}{6} (x i i) x - \frac{x - 1}{2} = 1 - \frac{x - 2}{3} (x i i i) \frac{9 x + 7}{2} - (x - \frac{x - 2}{7}) = 36 (x i v) \frac{6 x + 1}{2} + 1 = \frac{7 x - 3}{3}$

29.

Solve : (i) 13x−6=52(ii) 2x3−3x8=712(iii) (x+2)(x+3)+(x−3)(x−2)−2x(x+1)=0(iv) 110−7x=35(v) 13(x−4)−3(x−9)−4(x+4)=0(vi) x+7−8x3=17x6−5x8(vii) 3x−24−2x+33=23−x(viii) x+26−(11−x3−14)=3x−412(ix) 25x−53x=115(x) x+23−x+15=x−34−1(xi) 3x−23+2x+32=x+76(xii) x−x−12=1−x−23(xiii) 9x+72−(x−x−27)=36(xiv) 6x+12+1=7x−33

Answer»

Solve :

$(i) \frac{1}{3} x - 6 = \frac{5}{2} (i i) \frac{2 x}{3} - \frac{3 x}{8} = \frac{7}{12} (i i i) (x + 2) (x + 3) + (x - 3) (x - 2) - 2 x (x + 1) = 0 (i v) \frac{1}{10} - \frac{7}{x} = 35 (v) 13 (x - 4) - 3 (x - 9) - 4 (x + 4) = 0 (v i) x + 7 - \frac{8 x}{3} = \frac{17 x}{6} - \frac{5 x}{8} (v i i) \frac{3 x - 2}{4} - \frac{2 x + 3}{3} = \frac{2}{3} - x (v i i i) \frac{x + 2}{6} - (\frac{11 - x}{3} - \frac{1}{4}) = \frac{3 x - 4}{12} (i x) \frac{2}{5 x} - \frac{5}{3 x} = \frac{1}{15} (x) \frac{x + 2}{3} - \frac{x + 1}{5} = \frac{x - 3}{4} - 1 (x i) \frac{3 x - 2}{3} + \frac{2 x + 3}{2} = x + \frac{7}{6} (x i i) x - \frac{x - 1}{2} = 1 - \frac{x - 2}{3} (x i i i) \frac{9 x + 7}{2} - (x - \frac{x - 2}{7}) = 36 (x i v) \frac{6 x + 1}{2} + 1 = \frac{7 x - 3}{3}$

Discussion

30.	Ipsa bought a car which covers 363 km in 24.2 litres of petrol. What will be the distance covered using 7 litres of petrol?
Answer» Ipsa bought a car which covers 363 km in 24.2 litres of petrol. What will be the distance covered using 7 litres of petrol?

Discussion

31.	Find the amount and the C.I. on Rs. 12000 at 10% per annum compounded half-yearly.
Answer» Find the amount and the C.I. on Rs. 12000 at 10% per annum compounded half-yearly.

Discussion

32.	Question 17 In the given figure, PA\|\| BC\|\| DT and AB\|\| DC. Then, the values of a and b (a) 60∘,120∘ (b) 50∘,130∘ (c) 70∘,110∘ (d) 80∘,100∘
Answer» Question 17 In the given figure, PA\|\| BC\|\| DT and AB\|\| DC. Then, the values of a and b (a) $60^{\circ}, 120^{\circ}$ (b) $50^{\circ}, 130^{\circ}$ (c) $70^{\circ}, 110^{\circ}$ (d) $80^{\circ}, 100^{\circ}$

32.

Question 17 In the given figure, PA|| BC|| DT and AB|| DC. Then, the values of a and b (a) 60∘,120∘ (b) 50∘,130∘ (c) 70∘,110∘ (d) 80∘,100∘

Answer»

Question 17

In the given figure, PA|| BC|| DT and AB|| DC. Then, the values of a and b

(a) $60^{\circ}, 120^{\circ}$
(b) $50^{\circ}, 130^{\circ}$
(c) $70^{\circ}, 110^{\circ}$
(d) $80^{\circ}, 100^{\circ}$

Discussion

33.	Question 9 The ages of Rahul and Haro are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?
Answer» Question 9 The ages of Rahul and Haro are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?

Discussion

34.	Question 14 (iii) In the adjoining figure, name the following pairs of angles: Equal supplementary angles.
Answer» Question 14 (iii) In the adjoining figure, name the following pairs of angles: Equal supplementary angles.

Discussion

35.	Question 1(i) Write the following numbers in the expanded form: (i) 2,79,404
Answer» Question 1(i) Write the following numbers in the expanded form: (i) 2,79,404

Discussion

36.	A well with 14m diameter is dug 8m deep. The earth taken out of it has been evenly spread all around it to a width of 21m to form an embankment. Find the height of the embankment.
Answer» A well with 14m diameter is dug 8m deep. The earth taken out of it has been evenly spread all around it to a width of 21m to form an embankment. Find the height of the embankment.

Discussion

37.	The diagonals do not necessarily bisect the interior angles at the vertices in a (a) rectangle (b) square (c) rhombus (d) all of these
Answer» The diagonals do not necessarily bisect the interior angles at the vertices in a (a) rectangle (b) square (c) rhombus (d) all of these

37.

The diagonals do not necessarily bisect the interior angles at the vertices in a (a) rectangle (b) square (c) rhombus (d) all of these

Answer»

The diagonals do not necessarily bisect the interior angles at the vertices in a

(a) rectangle (b) square

(c) rhombus (d) all of these

Discussion

38.	Question 104 State whether the statement is True or False. Multiplication fact (−8)×(−10)=80 is same as division fact 80÷(−8)=(−10).
Answer» Question 104 State whether the statement is True or False. Multiplication fact $(- 8) \times (- 10) = 80$ is same as division fact $80 \div (- 8) = (- 10) .$

38.

Question 104 State whether the statement is True or False. Multiplication fact (−8)×(−10)=80 is same as division fact 80÷(−8)=(−10).

Answer»

Question 104

State whether the statement is True or False.

Multiplication fact $(- 8) \times (- 10) = 80$ is same as division fact $80 \div (- 8) = (- 10) .$

Discussion

39.	Question 78 Subtraction of rational number is commutative
Answer» Question 78 Subtraction of rational number is commutative

Discussion

40.	A perfect square number has four digits, none of which is zero. The digits from left to right have values, that are even, even, odd, even. Find the number.
Answer» A perfect square number has four digits, none of which is zero. The digits from left to right have values, that are even, even, odd, even. Find the number.

Discussion

41.	Question 52(vi) The graph given below gives the actual and expected sales of cars of the company for 6 months. Study the graph and answer the questions that follow. Find the ratio of sales in the first three months to the last three months.
Answer» Question 52(vi) The graph given below gives the actual and expected sales of cars of the company for 6 months. Study the graph and answer the questions that follow. Find the ratio of sales in the first three months to the last three months.

Discussion

42.	Construct a triangle ABC in which BC is 8 cm, ∠ B is 70∘ and AB - AC = 7. [4 MARKS]
Answer» Construct a triangle ABC in which BC is 8 cm, $∠$ B is $70^{\circ}$ and AB - AC = 7. [4 MARKS]

Discussion

43.	Find the amount and the compound interest on Rs 12800 for 1 year at 712% per annum, compounded semi-annually.
Answer» Find the amount and the compound interest on Rs 12800 for 1 year at $7 \frac{1}{2} %$ per annum, compounded semi-annually.

Discussion

44.	Evaluate : 3√2764
Answer» Evaluate : $\sqrt[3]{\frac{27}{64}}$

Discussion

45.	Question 123 Tell which property allows you to compare 23×[34×57] and [23×57]×34
Answer» Question 123 Tell which property allows you to compare $\frac{2}{3} \times [\frac{3}{4} \times \frac{5}{7}]$ and $[\frac{2}{3} \times \frac{5}{7}] \times \frac{3}{4}$

Discussion

46.	Question 47 If 1AB + CCA = 697 and there is no carry - over in addition, find the value of A + B + C.
Answer» Question 47 If 1AB + CCA = 697 and there is no carry - over in addition, find the value of A + B + C.

Discussion

47.	What do you call the value that is halfway between the upper and lower limits of a class interval? __
Answer» What do you call the value that is halfway between the upper and lower limits of a class interval? __

Discussion

48.	X ml of H2 gas effuse through a pin hole in a container in 5s, the time taken for the effusion of the same volume of the gas specified below uner identical conditions is ?
Answer» X ml of $H_{2}$ gas effuse through a pin hole in a container in 5s, the time taken for the effusion of the same volume of the gas specified below uner identical conditions is ?

Discussion

49.	Find the digits A and B. [3 MARKS] B A× B 3 5 7 A
Answer» Find the digits A and B. [3 MARKS] $\begin{matrix} B A \times B 3 57 A \end{matrix}$

Discussion

50.	Three cubes of iron whose edges are 6 cm, 8 cm and 10 cm respectively are melted and formed into a single cube. The edge of the new cube formed is (a) 12 cm (b) 14 cm (c) 16 cm (d) 18 cm
Answer» Three cubes of iron whose edges are 6 cm, 8 cm and 10 cm respectively are melted and formed into a single cube. The edge of the new cube formed is (a) 12 cm (b) 14 cm (c) 16 cm (d) 18 cm

50.

Three cubes of iron whose edges are 6 cm, 8 cm and 10 cm respectively are melted and formed into a single cube. The edge of the new cube formed is (a) 12 cm (b) 14 cm (c) 16 cm (d) 18 cm

Answer»

Three cubes of iron whose edges are 6 cm, 8 cm and 10 cm respectively are melted and formed into a single cube. The edge of the new cube formed is

(a) 12 cm

(b) 14 cm

(c) 16 cm

(d) 18 cm

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

A student has got 32 marks out of 50. Find the percentage of marks he got.

What will be the unit digit of the square of 91?

If ABCD is a parallelogram, then the angle bisectors of ∠A and ∠D meet at ‘O’. The measure of ∠AOD is 45∘​

The probability to be a year younger next year is ___.

Divide Rs.500 among three workers in such a way that each worker will get in the ratio of 2 : 3 : 5. Find the share of each person. [4 MARKS]

1 micron equals to

A wall needs to be constructed with height 21m. It should be able to store 16.5 lakh liters of water. The volume of earth dig out is 2376 m3. What is the volume of concrete to be mixed to build the well?

Factorize i.) 5p2−25p+20 ii.) x2+11x+28 [3 MARKS]

In the square ABCD below, what is the measure of ∠AOB?

72 as a product of its prime factors can be represented as ______ .

Which of the following is/are true about like terms?

Find an angle which is two-thirds of its complement.

The expansion of (x+2y+3z)2 is :

‘p’ and ‘q’ are the zeroes of the polynomial ax2+bx+c=0. (x−p) and (x−q) are the only factors of the expression ax2+bx+c, The values of a and b are:

Question 112 (i) Use the following figure, showing the layout of a farmhouse.​​​​​​​ What is the area of land used to grow hay?

Question 59 State whether the following statement is true or false: Two cylinders with equal volume will always have equal surface area.

Is it possible to construct a unique quadrilateral ABCD with AB = 5cm, BC = 6cm, CD= 7cm, ∠ABC = 40∘ and ∠ BCD = 55∘?

Evaluate using factors 4012×400−4003

Which of the following are true? i) All squares are rhombuses. ii) All parallelograms are rectangles. iii) All rhombuses are kites. iv) All squares are rectangles.

The distance travelled by a superjet is (x−6)2 m in time x2−62 secs, then the speed of the superjet is m/sec.

Meenal lends Rs. 75,000 at C.I. for 3 years. If the rate of interest for the first two years is 15% per year and for the third year it is 16%, calculate the sum Meenal will get at the end of the third year.

Given: Area of parallelogram = Base × Height Statement 1: A diagonal of a parallelogram divides it into two congruent triangles. Statement 2: Areas of two congruent triangles are exactly equal. Chose the correct option.

The volume of a cuboid of height 18 cm, length 10 cm, and breadth 5 cm is equal to _________.

The table shows the number of cups of four different beverages sold by a coffee shop in a certain day. BeverageNumber of cupsCoffee60Tea75Hot chocolate25Milk40 What is the angle of the sector in a pie chart representing tea?

By how much is 5a2b2−18ab2−10a2b bigger than −5a2+6a2b−7ab?

If √2=1.4142, then the square of 14.142 should approximately be?

Ipsa bought a car which covers 363 km in 24.2 litres of petrol. What will be the distance covered using 7 litres of petrol?

Find the amount and the C.I. on Rs. 12000 at 10% per annum compounded half-yearly.

Question 17 In the given figure, PA|| BC|| DT and AB|| DC. Then, the values of a and b (a) 60∘,120∘ (b) 50∘,130∘ (c) 70∘,110∘ (d) 80∘,100∘

Question 9 The ages of Rahul and Haro are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?

Question 14 (iii) In the adjoining figure, name the following pairs of angles: Equal supplementary angles.

Question 1(i) Write the following numbers in the expanded form: (i) 2,79,404

A well with 14m diameter is dug 8m deep. The earth taken out of it has been evenly spread all around it to a width of 21m to form an embankment. Find the height of the embankment.

The diagonals do not necessarily bisect the interior angles at the vertices in a (a) rectangle (b) square (c) rhombus (d) all of these

Question 104 State whether the statement is True or False. Multiplication fact (−8)×(−10)=80 is same as division fact 80÷(−8)=(−10).

Question 78 Subtraction of rational number is commutative

A perfect square number has four digits, none of which is zero. The digits from left to right have values, that are even, even, odd, even. Find the number.

Question 52(vi) The graph given below gives the actual and expected sales of cars of the company for 6 months. Study the graph and answer the questions that follow. Find the ratio of sales in the first three months to the last three months.

Construct a triangle ABC in which BC is 8 cm, ∠ B is 70∘ and AB - AC = 7. [4 MARKS]

Find the amount and the compound interest on Rs 12800 for 1 year at 712% per annum, compounded semi-annually.

Evaluate : 3√2764

Question 123 Tell which property allows you to compare 23×[34×57] and [23×57]×34

Question 47 If 1AB + CCA = 697 and there is no carry - over in addition, find the value of A + B + C.

What do you call the value that is halfway between the upper and lower limits of a class interval? __

X ml of H2 gas effuse through a pin hole in a container in 5s, the time taken for the effusion of the same volume of the gas specified below uner identical conditions is ?

Find the digits A and B. [3 MARKS] B A× B 3 5 7 A

Three cubes of iron whose edges are 6 cm, 8 cm and 10 cm respectively are melted and formed into a single cube. The edge of the new cube formed is (a) 12 cm (b) 14 cm (c) 16 cm (d) 18 cm

If ABCD is a parallelogram, then the angle bisectors of ∠A and ∠D meet at ‘O’. The measure of ∠AOD is 45∘

Question 112 (i) Use the following figure, showing the layout of a farmhouse. What is the area of land used to grow hay?