19743 + Interview Questions in Mathematics Page 113 InterviewSolution

5601.	The reflection of the point (α, β, γ) in the xy-plane is(a) (α, β, 0) (b) (0, 0, γ) (c) (-α, -β, γ) (d) (α, β, -γ)
Answer» The reflection of the point $(α, β, γ)$ in the xy-plane is (a) $(α, β, 0)$ (b) $(0, 0, γ)$ (c) $(- α, - β, γ)$ (d) $(α, β, - γ)$

Discussion

5602.	Question 3(iv)Add the following:(iv) l2+m2,m2+n2,n2+l2+2lm+2mn+2nl
Answer» Question 3(iv) Add the following: (iv) $l^{2} + m^{2}, m^{2} + n^{2}, n^{2} + l^{2} + 2 l m + 2 m n + 2 n l$

Discussion

5603.	Rewritethe following rational numbers in the simplest form:(i) (ii) (iii) (iv)
Answer» Rewrite the following rational numbers in the simplest form: (i) (ii) (iii) (iv)

5603.

Rewritethe following rational numbers in the simplest form:(i) (ii) (iii) (iv)

Answer»

Rewrite
the following rational numbers in the simplest form:

(i) (ii)

(iii) (iv)

Discussion

5604.	The perimeter (in yards) for a rice growing zone in a botany lab is :[(24÷8)3−(15−5)]×2
Answer» The perimeter (in yards) for a rice growing zone in a botany lab is : $[(24 \div 8)^{3} - (15 - 5)] \times 2$

Discussion

5605.	Mark the correct alternative in the following question:A ratio equivalent to 2 : 5 is(a) 6 : 15 (b) 4 : 5 (c) 5 : 2 (d) 5 : 4
Answer» Mark the correct alternative in the following question: A ratio equivalent to 2 : 5 is (a) 6 : 15 (b) 4 : 5 (c) 5 : 2 (d) 5 : 4

Discussion

5606.	Simplify.(i) 54 × 53 (ii) 236 ÷ 239 (iii) 728 × 72-6 (iv) 452 ÷ 54
Answer» Simplify. (i) $5^{4} \times 5^{3}$ (ii) ${(\frac{2}{3})}^{6} \div {(\frac{2}{3})}^{9}$ (iii) ${(\frac{7}{2})}^{8} \times {(\frac{7}{2})}^{- 6}$ (iv) ${(\frac{4}{5})}^{2} \div (\frac{5}{4})$

Discussion

5607.	A wall has a length of 8 m and a breadth of 4 m. To paint the wall, the painter asked for Rs. 5 per square meter. There is a door in the wall which has a height of 2.4 m and a breadth of 1.2 m. Find the cost incurred for painting the wall.
Answer» A wall has a length of 8 m and a breadth of 4 m. To paint the wall, the painter asked for Rs. 5 per square meter. There is a door in the wall which has a height of 2.4 m and a breadth of 1.2 m. Find the cost incurred for painting the wall.

5607.

A wall has a length of 8 m and a breadth of 4 m. To paint the wall, the painter asked for Rs. 5 per square meter. There is a door in the wall which has a height of 2.4 m and a breadth of 1.2 m. Find the cost incurred for painting the wall.

Answer»

A wall has a length of 8 m and a breadth of 4 m. To paint the wall, the painter asked for Rs. 5 per square meter. There is a door in the wall which has a height of 2.4 m and a breadth of 1.2 m. Find the cost incurred for painting the wall.

Discussion

5608.	If the circumferences of two circles are in the ratio c1 : c2, then the ratio of their areas is __________.
Answer» If the circumferences of two circles are in the ratio c₁ : c₂, then the ratio of their areas is __________.

Discussion

5609.	Write the additive inverse (negative ) of : (i) −38(ii) 4−9(iii) −75(iv) −4−13(v) 0(vi) −2(vii) 1(viii)−13(ix) −31
Answer» Write the additive inverse (negative ) of : $(i) \frac{- 3}{8} (i i) \frac{4}{- 9} (i i i) \frac{- 7}{5} (i v) \frac{- 4}{- 13} (v) 0 (v i) - 2 (v i i) 1 (v i i i) - \frac{1}{3} (i x) \frac{- 3}{1}$

Discussion

5610.	LCM of 4 and 12 is
Answer» LCM of $4$ and $12$ is

Discussion

5611.	Question 2Bisectors of interior ∠B and exterior ∠ACD of a ΔABC intersect at the point T. Prove that ∠BTC=12∠BACThinking process
Answer» Question 2 Bisectors of interior $∠ B$ and exterior $∠ A C D$ of a $Δ A B C$ intersect at the point T. Prove that $∠ B T C = \frac{1}{2} ∠ B A C$ Thinking process

Discussion

5612.	In the given figure,□ PQRS is a rectangle. If PQ = 14 cm, QR = 21 cm, find the areas of the parts x, y and z .
Answer» In the given figure, $□$ PQRS is a rectangle. If PQ = 14 cm, QR = 21 cm, find the areas of the parts x, y and z .

Discussion

5613.	Good evening mam/sir my query to you is that......add the following (i) 0+y (ii)1/2ax+1/2ax thank you
Answer» Good evening mam/sir my query to you is that......add the following (i) 0+y (ii)1/2ax+1/2ax thank you

Discussion

5614.	Solve thefollowing equations.(a) 2 (x+ 4) = 12 (b) 3 (n − 5) = 21 (c) 3 (n− 5) = − 21 (d) −4 (2 + x) = 8 (e) 4(2 −x) = 8
Answer» Solve the following equations. (a) 2 (x + 4) = 12 (b) 3 (n − 5) = 21 (c) 3 (n − 5) = − 21 (d) −4 (2 + x) = 8 (e) 4(2 − x) = 8

5614.

Solve thefollowing equations.(a) 2 (x+ 4) = 12 (b) 3 (n − 5) = 21 (c) 3 (n− 5) = − 21 (d) −4 (2 + x) = 8 (e) 4(2 −x) = 8

Answer»

Solve the
following equations.

(a) 2 (x
+ 4) = 12 (b) 3 (n − 5) = 21

(c) 3 (n
− 5) = − 21 (d) −4 (2 + x) = 8

(e) 4(2 −
x) = 8

Discussion

5615.	If the area of a rectangular land is (a2–b2) sq.units whose breadth is(a – b) then, its length is_________?
Answer» If the area of a rectangular land is $(a^{2} - b^{2})$ sq.units whose breadth is(a – b) then, its length is_________?

Discussion

5616.	Question 26State whether the given statements are true (T) or false (F).The ratio of 150 cm to 1 m is 1 : 15
Answer» Question 26 State whether the given statements are true (T) or false (F). The ratio of 150 cm to 1 m is 1 : 15

5616.

Question 26State whether the given statements are true (T) or false (F).The ratio of 150 cm to 1 m is 1 : 15

Answer»

Question 26

State whether the given statements are true (T) or false (F).

The ratio of 150 cm to 1 m is 1 : 15

Discussion

5617.	Question 23The sum of all exterior angles of a triangle isa) 180∘b) 360∘c) 540∘d) 720∘
Answer» Question 23 The sum of all exterior angles of a triangle is a) $180^{\circ}$ b) $360^{\circ}$ c) $540^{\circ}$ d) $720^{\circ}$

Discussion

5618.	A certain game was played by 18 players as a team in which 23rd of the team actually played the game, while the rest were reserve players who replace the injured main members. How many reserve players did this team have?
Answer» A certain game was played by 18 players as a team in which ${\frac{2}{3}}^{r d}$ of the team actually played the game, while the rest were reserve players who replace the injured main members. How many reserve players did this team have?

Discussion

5619.	Question 14 Which of the following is not equal to (−54)4? (a) (−5)444 (b) 54(−4)4 (c) −5444 (d) (−54)×(−54)×(−54)×(−54)
Answer» Question 14 Which of the following is not equal to ${(\frac{- 5}{4})}^{4}$ ? (a) $\frac{(- 5)^{4}}{4^{4}}$ (b) $\frac{5^{4}}{(- 4)^{4}}$ (c) $- \frac{5^{4}}{4^{4}}$ (d) $(- \frac{5}{4}) \times (- \frac{5}{4}) \times (- \frac{5}{4}) \times (- \frac{5}{4})$

5619.

Question 14 Which of the following is not equal to (−54)4? (a) (−5)444 (b) 54(−4)4 (c) −5444 (d) (−54)×(−54)×(−54)×(−54)

Answer»

Question 14

Which of the following is not equal to ${(\frac{- 5}{4})}^{4}$ ?
(a) $\frac{(- 5)^{4}}{4^{4}}$
(b) $\frac{5^{4}}{(- 4)^{4}}$
(c) $- \frac{5^{4}}{4^{4}}$
(d) $(- \frac{5}{4}) \times (- \frac{5}{4}) \times (- \frac{5}{4}) \times (- \frac{5}{4})$

Discussion

5620.	Simplify (256)−12.
Answer» Simplify ${(256)}^{\frac{- 1}{2}}$ .

Discussion

5621.

Journalise the following transactions in the books of Dixit & Sons. : 2018 March 2 Sold goods to Dilip of the list price of ₹ 62,000 for ₹ 60,000. 5 Sold goods to Amrit Lal of the list price of ₹ 2,50,000 at 20% trade discount and 10% cash discount. Amrit Lal paid ₹ 1,20,000 immediately through a banker's cheque. 10 Paid cheque of ₹ 30,000 to Chaturvedi and availed discount 2%. 16 Purchased goods costing ₹ 2,00,000 from Hari & Co. Paid 75% immediately by cheque to avail 4% discount. 20 Sold goods to Vhsal Traders costing ₹ 40,000 at 25% profit, allowing 10% trade discount and 10% cash discount. Received 80% payment immediately by cheque. 26 Sold goods to Brij & Co. costing ₹ 50,000 at 40% profit, allowing 10% trade discount and 5% cash discount. Brij & Co. paid the full amount by cheque and availed cash discount.

Answer» Journalise the following transactions in the books of Dixit & Sons. :

2018
March 2	Sold goods to Dilip of the list price of ₹ 62,000 for ₹ 60,000.
5	Sold goods to Amrit Lal of the list price of ₹ 2,50,000 at 20% trade discount and 10% cash discount. Amrit Lal paid ₹ 1,20,000 immediately through a banker's cheque.
10	Paid cheque of ₹ 30,000 to Chaturvedi and availed discount 2%.
16	Purchased goods costing ₹ 2,00,000 from Hari & Co. Paid 75% immediately by cheque to avail 4% discount.
20	Sold goods to Vhsal Traders costing ₹ 40,000 at 25% profit, allowing 10% trade discount and 10% cash discount. Received 80% payment immediately by cheque.
26	Sold goods to Brij & Co. costing ₹ 50,000 at 40% profit, allowing 10% trade discount and 5% cash discount. Brij & Co. paid the full amount by cheque and availed cash discount.

Discussion

5622.	Which of the following is an oblique sketch of a cube of edge 4 cm?
Answer» Which of the following is an oblique sketch of a cube of edge 4 cm?

Discussion

5623.	Arrange the digits of the four-digit number 6014 such that it is the smallest possible number divisible by 8.
Answer» Arrange the digits of the four-digit number $6014$ such that it is the smallest possible number divisible by $8.$

Discussion

5624.	The point of intersection of all the three perpendicular bisectors of a triangle is called .
Answer» The point of intersection of all the three perpendicular bisectors of a triangle is called .

Discussion

5625.	Which of the following ratios are in proportion?
Answer» Which of the following ratios are in proportion?

Discussion

5626.	Let A=3y2+9x−3x2,B=6x2−2y2+3x,C=9x2−3xy−y2. Find A + B - C.
Answer» $Let A = 3 y^{2} + 9 x - 3 x^{2}, B = 6 x^{2} - 2 y^{2} + 3 x, C = 9 x^{2} - 3 x y - y^{2} . Find A + B - C.$

Discussion

5627.	Let AD and BC be two vertical poles at A and B respectively on a horizontal ground. If AD=8m,BC=11m and AB=10m; then the distance (in meters) of a point M on AB from the point A such that MD2+MC2 is minimum is
Answer» Let $A D$ and $B C$ be two vertical poles at $A$ and $B$ respectively on a horizontal ground. If $A D = 8 m, B C = 11 m$ and $A B = 10 m;$ then the distance (in meters) of a point $M$ on $A B$ from the point $A$ such that $M D^{2} + M C^{2}$ is minimum is

Discussion

5628.	Ashish was driving his car at certain speed. If he increases speed of his car by 5 km/hr, he covers 100 km in 4 hours. At what speed (km/hr) was he driving the car?20
Answer» Ashish was driving his car at certain speed. If he increases speed of his car by 5 km/hr, he covers 100 km in 4 hours. At what speed (km/hr) was he driving the car? 20

Discussion

5629.	Interest rate on deposit in savings bank account presently is ________.
Answer» Interest rate on deposit in savings bank account presently is ________.

Discussion

5630.	Question 35Express each of the following in kilograms(a) 5.84×10−3mg(b) 58.34g(c) 0.584g(d) 5.873×10−21g
Answer» Question 35 Express each of the following in kilograms (a) $5.84 \times 10^{- 3} m g$ (b) $58.34 g$ (c) $0.584 g$ (d) $5.873 \times 10^{- 21} g$

Discussion

5631.	The sum of the rational numbers −819 and −457 is _____.
Answer» The sum of the rational numbers $\frac{- 8}{19}$ and $\frac{- 4}{57}$ is _____.

Discussion

5632.	Arrangethe following in descending order:(i) (ii)
Answer» Arrange the following in descending order: (i) (ii)

5632.

Arrangethe following in descending order:(i) (ii)

Answer»

Arrange
the following in descending order:

(i) (ii)

Discussion

5633.	Satyam has drawn his house on a paper as shown. Find the number of line segments used to draw the house.
Answer» Satyam has drawn his house on a paper as shown. Find the number of line segments used to draw the house.

5633.

Satyam has drawn his house on a paper as shown. Find the number of line segments used to draw the house.

Answer»

Satyam has drawn his house on a paper as shown. Find the number of line segments used to draw the house.

Discussion

5634.	Question 2(d) Copy the triangle of the following figure on a squared paper. Draw the line(s) of symmetry, if any and identify the type of triangle. (Some of you may like to trace the figures and try paper-folding first! )
Answer» Question 2(d) Copy the triangle of the following figure on a squared paper. Draw the line(s) of symmetry, if any and identify the type of triangle. (Some of you may like to trace the figures and try paper-folding first! )

5634.

Question 2(d) Copy the triangle of the following figure on a squared paper. Draw the line(s) of symmetry, if any and identify the type of triangle. (Some of you may like to trace the figures and try paper-folding first! )

Answer»

Question 2(d)

Copy the triangle of the following figure on a squared paper. Draw the line(s) of symmetry, if any and identify the type of triangle. (Some of you may like to trace the figures and try paper-folding first! )

Discussion

5635.	Question 6 (i) Verify Euler’s formula for these solids.
Answer» Question 6 (i) Verify Euler’s formula for these solids.

Discussion

5636.	The total surface area of a cubical chalk box is 96 cm2. What is the length of its edge?
Answer» The total surface area of a cubical chalk box is 96 cm². What is the length of its edge?

Discussion

5637.	In the given figure ∠BCA = ∠RPQ = 25∘, then find ∠PQR.
Answer» In the given figure $∠ B C A$ = $∠ R P Q$ = $25^{\circ}$ , then find $∠ P Q R$ .

Discussion

5638.	In an examination 72% of the total examinees passed . If the number of failure is 392. Find the total number of examinees.
Answer» In an examination 72% of the total examinees passed . If the number of failure is 392. Find the total number of examinees.

Discussion

5639.	Which of the following is point symmetric?(a) Equilateral triangle(b) Trapezium(c) Rectangle(d) None of these
Answer» Which of the following is point symmetric? (a) Equilateral triangle (b) Trapezium (c) Rectangle (d) None of these

Discussion

5640.	Question 43 State whether the statements are True or False. Mode of the data is always from the given data.
Answer» Question 43 State whether the statements are True or False. Mode of the data is always from the given data.

Discussion

5641.	Question 40 In the given figure, PQ \|\|ST. Then the value of x + y is (a) 125∘ (b) 135∘ (c) 145∘ (d) 120∘
Answer» Question 40 In the given figure, PQ \|\|ST. Then the value of x + y is (a) $125^{\circ}$ (b) $135^{\circ}$ (c) $145^{\circ}$ (d) $120^{\circ}$

5641.

Question 40 In the given figure, PQ ||ST. Then the value of x + y is (a) 125∘ (b) 135∘ (c) 145∘ (d) 120∘

Answer»

Question 40

In the given figure, PQ ||ST. Then the value of x + y is

(a) $125^{\circ}$
(b) $135^{\circ}$
(c) $145^{\circ}$
(d) $120^{\circ}$

Discussion

5642.	Difference between indeces and exponent or power
Answer» Difference between indeces and exponent or power

Discussion

5643.

Match the following: Measures of Triangle Type of Triangle (i) 3 sides of equal length (a) Scalene (ii) 2 sides of equal length (b) Isosceles right angled (iii) All sides are of different length (c) Obtuse angled (iv) 3 acute angles (d) Right angled (v) 1 right angle (e) Equilateral (vi) 1 obtuse angle (f) Acute angled (vii) 1 right angle with two sides of equal length (g) Isosceles

Answer»

Match the following:

Measures of Triangle	Type of Triangle
(i) 3 sides of equal length	(a) Scalene
(ii) 2 sides of equal length	(b) Isosceles right angled
(iii) All sides are of different length	(c) Obtuse angled
(iv) 3 acute angles	(d) Right angled
(v) 1 right angle	(e) Equilateral
(vi) 1 obtuse angle	(f) Acute angled
(vii) 1 right angle with two sides of equal length	(g) Isosceles

Discussion

5644.	a) What information is depicted by the graph?b) In which year is the population maximum?c) What is the population in 1996? [4 MARKS]
Answer» a) What information is depicted by the graph? b) In which year is the population maximum? c) What is the population in 1996? [4 MARKS]

5644.

a) What information is depicted by the graph?b) In which year is the population maximum?c) What is the population in 1996? [4 MARKS]

Answer»

a) What information is depicted by the graph?

b) In which year is the population maximum?

c) What is the population in 1996? [4 MARKS]

Discussion

5645.	4 times a certain two digit no. Is seven times the no. Obtained on interchanging its digits .If the difference of thr digits is 4 find the number.
Answer» 4 times a certain two digit no. Is seven times the no. Obtained on interchanging its digits .If the difference of thr digits is 4 find the number.

Discussion

5646.	Find which of the following are in proportion?(i) 33, 44, 66, 88(ii) 46, 69, 69, 46
Answer» Find which of the following are in proportion? (i) 33, 44, 66, 88 (ii) 46, 69, 69, 46

Discussion

5647.	Question 61 State whether the given statement is True or False. 46 is equivalent to 23.
Answer» Question 61 State whether the given statement is True or False. $\frac{4}{6}$ is equivalent to $\frac{2}{3} .$

5647.

Question 61 State whether the given statement is True or False. 46 is equivalent to 23.

Answer»

Question 61

State whether the given statement is True or False.

$\frac{4}{6}$ is equivalent to $\frac{2}{3} .$

Discussion

5648.	Question 7(ii) Simplify: (ii) (−3)×(−2)3
Answer» Question 7(ii) Simplify: (ii) $(- 3) \times (- 2)^{3}$

Discussion

5649.	Journalise the following entries:(i) Goods costing ₹ 500 given as charity.(ii) Sold goods to Mayank of ₹ 1,00,000, payable 25% by cheque at the time of sale and balance after 30 days of sale.(iii) Received ₹ 975 from Harikrishna in full settlement of his account of ₹ 1,000.(iv) Received a first and final dividend of 60 paise in a rupee from the Official Receiver of Rajan, who owed us ₹ 1,000.(v) Charge interest on Drawings ₹ 1,500.(vi) Sold goods costing ₹ 40,000 to Anil for cash at a profit of 25% on cost less 20% trade discount and paid cartage ₹ 100, which is not to be charged from customer.
Answer» Journalise the following entries: (i) Goods costing ₹ 500 given as charity. (ii) Sold goods to Mayank of ₹ 1,00,000, payable 25% by cheque at the time of sale and balance after 30 days of sale. (iii) Received ₹ 975 from Harikrishna in full settlement of his account of ₹ 1,000. (iv) Received a first and final dividend of 60 paise in a rupee from the Official Receiver of Rajan, who owed us ₹ 1,000. (v) Charge interest on Drawings ₹ 1,500. (vi) Sold goods costing ₹ 40,000 to Anil for cash at a profit of 25% on cost less 20% trade discount and paid cartage ₹ 100, which is not to be charged from customer.

Discussion

5650.	Simplify (38)4×(75)4
Answer» Simplify $(\frac{3}{8})^{4} \times (\frac{7}{5})^{4}$

Discussion

Explore topic-wise InterviewSolutions in .

The reflection of the point (α, β, γ) in the xy-plane is(a) (α, β, 0) (b) (0, 0, γ) (c) (-α, -β, γ) (d) (α, β, -γ)

Question 3(iv)Add the following:(iv) l2+m2,m2+n2,n2+l2+2lm+2mn+2nl

Rewritethe following rational numbers in the simplest form:(i) (ii) (iii) (iv)

The perimeter (in yards) for a rice growing zone in a botany lab is :[(24÷8)3−(15−5)]×2

Mark the correct alternative in the following question:A ratio equivalent to 2 : 5 is(a) 6 : 15 (b) 4 : 5 (c) 5 : 2 (d) 5 : 4

Simplify.(i) 54 × 53 (ii) 236 ÷ 239 (iii) 728 × 72-6 (iv) 452 ÷ 54

A wall has a length of 8 m and a breadth of 4 m. To paint the wall, the painter asked for Rs. 5 per square meter. There is a door in the wall which has a height of 2.4 m and a breadth of 1.2 m. Find the cost incurred for painting the wall.

If the circumferences of two circles are in the ratio c1 : c2, then the ratio of their areas is __________.

Write the additive inverse (negative ) of : (i) −38(ii) 4−9(iii) −75(iv) −4−13(v) 0(vi) −2(vii) 1(viii)−13(ix) −31

LCM of 4 and 12 is

Question 2Bisectors of interior ∠B and exterior ∠ACD of a ΔABC intersect at the point T. Prove that ∠BTC=12∠BACThinking process

In the given figure,□ PQRS is a rectangle. If PQ = 14 cm, QR = 21 cm, find the areas of the parts x, y and z .

Good evening mam/sir my query to you is that......add the following (i) 0+y (ii)1/2ax+1/2ax thank you

Solve thefollowing equations.(a) 2 (x+ 4) = 12 (b) 3 (n − 5) = 21 (c) 3 (n− 5) = − 21 (d) −4 (2 + x) = 8 (e) 4(2 −x) = 8

If the area of a rectangular land is (a2–b2) sq.units whose breadth is(a – b) then, its length is_________?

Question 26State whether the given statements are true (T) or false (F).The ratio of 150 cm to 1 m is 1 : 15

Question 23The sum of all exterior angles of a triangle isa) 180∘b) 360∘c) 540∘d) 720∘

A certain game was played by 18 players as a team in which 23rd of the team actually played the game, while the rest were reserve players who replace the injured main members. How many reserve players did this team have?

Question 14 Which of the following is not equal to (−54)4? (a) (−5)444 (b) 54(−4)4 (c) −5444 (d) (−54)×(−54)×(−54)×(−54)

Simplify (256)−12.

Which of the following is an oblique sketch of a cube of edge 4 cm?

Arrange the digits of the four-digit number 6014 such that it is the smallest possible number divisible by 8.

The point of intersection of all the three perpendicular bisectors of a triangle is called .

Which of the following ratios are in proportion?

Let A=3y2+9x−3x2,B=6x2−2y2+3x,C=9x2−3xy−y2. Find A + B - C.

Let AD and BC be two vertical poles at A and B respectively on a horizontal ground. If AD=8m,BC=11m and AB=10m; then the distance (in meters) of a point M on AB from the point A such that MD2+MC2 is minimum is

Ashish was driving his car at certain speed. If he increases speed of his car by 5 km/hr, he covers 100 km in 4 hours. At what speed (km/hr) was he driving the car?20

Interest rate on deposit in savings bank account presently is ________.

Question 35Express each of the following in kilograms(a) 5.84×10−3mg(b) 58.34g(c) 0.584g(d) 5.873×10−21g

The sum of the rational numbers −819 and −457 is _____.

Arrangethe following in descending order:(i) (ii)

Satyam has drawn his house on a paper as shown. Find the number of line segments used to draw the house.

Question 2(d) Copy the triangle of the following figure on a squared paper. Draw the line(s) of symmetry, if any and identify the type of triangle. (Some of you may like to trace the figures and try paper-folding first! )

Question 6 (i) Verify Euler’s formula for these solids.

The total surface area of a cubical chalk box is 96 cm2. What is the length of its edge?

In the given figure ∠BCA = ∠RPQ = 25∘, then find ∠PQR.

In an examination 72% of the total examinees passed . If the number of failure is 392. Find the total number of examinees.

Which of the following is point symmetric?(a) Equilateral triangle(b) Trapezium(c) Rectangle(d) None of these

Question 43 State whether the statements are True or False. Mode of the data is always from the given data.

Question 40 In the given figure, PQ ||ST. Then the value of x + y is (a) 125∘ (b) 135∘ (c) 145∘ (d) 120∘

Difference between indeces and exponent or power

a) What information is depicted by the graph?b) In which year is the population maximum?c) What is the population in 1996? [4 MARKS]

4 times a certain two digit no. Is seven times the no. Obtained on interchanging its digits .If the difference of thr digits is 4 find the number.

Find which of the following are in proportion?(i) 33, 44, 66, 88(ii) 46, 69, 69, 46

Question 61 State whether the given statement is True or False. 46 is equivalent to 23.

Question 7(ii) Simplify: (ii) (−3)×(−2)3

Simplify (38)4×(75)4