332354 + Interview Questions in Secondary School in Math

1.	A boys age is one fourth that of his father. after24year the boy will be half the age of his father. find their present ages
Answer» Boy AGE at present =x/4 present age of father=x by the GIVEN data x/4 +24=x+24/2 [96+x /4]2 =x+24 96+x =2(x+24) 96-48= 2x-x x=48 present age of father is x=48 YEARS present age of son is x/4=48/4=12 years

Discussion

2.	The sum of three consecutive odd numbers is 33. what are the numbers?
Answer» Answer: The numbers are 9,11 and 13. Step-by-step explanation: Given : The SUM of three consecutive odd numbers is 33. To find : What are the numbers? SOLUTION : Let the three consecutive odd numbers are x,x+2,x+4. According to question, The sum of three consecutive odd numbers is 33. $x+x+2+x+4=33$ ADD LIKE TERMS, $3x+6=33$ Subtract 6 both side, $3x=27$ Divide by 3 both side, $\frac{3x}{3}=\frac{27}{3}$ $x=9$ So, The consecutive odd numbers are x=9 x+2=9+2=11 x+4=9+4=13 Therefore, The numbers are 9,11 and 13.

2.

The sum of three consecutive odd numbers is 33. what are the numbers?

Answer»

Answer:

The numbers are 9,11 and 13.

Step-by-step explanation:

Given : The SUM of three consecutive odd numbers is 33.

To find : What are the numbers?

SOLUTION :

Let the three consecutive odd numbers are x,x+2,x+4.

According to question,

The sum of three consecutive odd numbers is 33.

$x+x+2+x+4=33$

ADD LIKE TERMS,

$3x+6=33$

Subtract 6 both side,

$3x=27$

Divide by 3 both side,

$\frac{3x}{3}=\frac{27}{3}$

$x=9$

So, The consecutive odd numbers are

x=9

x+2=9+2=11

x+4=9+4=13

Therefore, The numbers are 9,11 and 13.

Discussion

3.	Without actually calculating the cubes find the value of 48^3 - 30^3 - 18^3
Answer» It will HELPFUL for U.....

Discussion

4.	Prove that cos2A÷1+sin2A=tan (45°-A)
Answer» Cos2A=(cosA^2-sinA^2)= cosA^2( 1-tanA^2) =1-tanA^2/(secA^2). =1-tanA^2/1+ tanA^2. 1+sin2A= sinA^2+ cosA^2+ 2 sinAcosA. hence 1+sin2A =(sinA+ cosA)^2 = cosA ^2((tanA+1)^2). cos2A/1+sin2A= (1-tanA)(1+tanA)/ (secA^2.cosA^2)(1+tanA)(1+tanA)=(1-tanA)/(1+tanA) hence TAN45-tanA/1+ tan45tanA since tan45 is 1 only it can be WRITTEN as TAN(45-A). hence PROVED . please mark it as brainliest

Discussion

5.	Define(a) Juvenile phase,(b) Reproductive phase,(c) Senescent phase
Answer» 1. JUVENILE PHASE=> it is the period of growth in an individual organism after it's BIRTH before it reaches the reproductive phase. 2. Reproductive phase=> what is the period when an individual organism reproduces sexually. 3. Senescent phase=> it is the period when an organism grows old and loses its ability to REPRODUCE.

Discussion

6.	all faces of a cube with an eight-meter edge are painted red. if the cube is cut into smaller cubes with a two-meter edge how many of the two-meter cubes have paint on exactly one face?
Answer» if the 8 meter edge cube will be CUT into 2 meter edge smaller cubes then there will be total 64 such cubes and only 4 cubes on each face will be having one painted face and there are 6 such faces so 4 X 6 = 24 such cubes will have only one painted face

6.

all faces of a cube with an eight-meter edge are painted red. if the cube is cut into smaller cubes with a two-meter edge how many of the two-meter cubes have paint on exactly one face?

Answer»

if the 8 meter edge cube will be CUT into 2 meter edge smaller cubes then there will be total 64 such cubes

and only 4 cubes on each face will be having one painted face and there are 6 such faces so 4 X 6 = 24 such cubes will have only one painted face

Discussion

7.	If one zero of the quadratic polynomial x square + 3 x + k is 2 find the value of k
Answer» P(2)=(2)^2+3(2)+K=0 4+6+k=0 k=(-10)

Discussion

8.	Please solve this fast friends 2a²-ab - ac -3b²+4bc ; when a=1, b= -1 and c = 2
Answer» HELLO here is your ANSWER by SUJEET YADUVANSHI ☝☝☝☝☝☝☝☝☝ that's all

Discussion

9.	LCM of 110592 in detail
Answer» Here's your ANSWER. HOPE it helps. Mark me as BRAINLIEST

Discussion

10.	If the area of a rectangle is 16s2t and the length is 8st2, what would be the width of the rectangle, given that width is found by dividing area by length? Simplify the answer.
Answer» HEYA !! Area of RECTANGLE = 16 LENGTH × Breadth = 16 8 × Breadth = 16 Breadth = 16/8 = 2 units.

Discussion

11.	Verify that X3 +Y3+Z3-3XYZ=1/2 (X+Y+Z ) [(X+Y)2+(Y-Z)2+(Z-X)2]
Answer» First We take R.H.S & use the Formula [( a-b)²= a²+b²-2ab] & simplify it then R.H.S becomes equal to L.H.S R.H.S ⇒ 1/2×(x + y + z) (x²+ y²-2xy +y²+ z²-2yz+x²+z²-2xz) [( a-b)²= a²+b²-2ab] ⇒ 1/2×(x + y + z) (2x²+ 2y²+2z²-2xy -2yz-2xz) ⇒ 1/2×(x + y + z) 2(x² + y²+ z² – XY – yz – XZ) =(x + y + z) (x² + y²+ z² – xy – yz – xz) = x³+y³+z³-3xyz = L.H.S We KNOW that, [x³+ y³ + z³– 3xyz = (x + y + z)(x²+ y² + z² – xy – yz – xz)] L.H.S = R.H.S [x³+ y³ + z³– 3xyz = (x + y + z)(x²+ y² + z² – xy – yz – xz)] ================================================================ HOPE this will help you.... Please mark me as brainliest,Thank you and follow me.

Discussion

12.	A die is thrown once.find the probability of getting a number less than 3
Answer» N(s)=6 n(E)=2 p=2/6=1/3

Discussion

13.	How to find the diagonal of a square
Answer» DIAGONAL of a SQUARE = ROOT 2 × SIDE of square

Discussion

14.	Find the quadratic polynomial whose zeroes are √2 and -1/3
Answer» Here is SOLN BOY. OKK

Discussion

15.	If 8.5 m of uniform rod weigh 30.6kg ,what will be the weight of 5m of the same rod
Answer» Here It's given that 8.5 m =30.6 kg Therefore 1 m = 30.6/8.5 =3.6kg Now 5 m = 3.6 * 5 =18 kg Therefore the answer is 18 kg Bye Hope you LIKED it Mark me BRAINLIEST

Discussion

16.	In the adjacent figure a b is a straight line find the value of x hence find angle AOC and OD
Answer» Sum angles lying on a straight line ( Linear Pair of Angles) = 180 ° ANGLE AOC + Angle COD + Angle DOB = 180 ° ( 3x - 7) °+ 55 ° + ( X + 20) ° = 180° 4x +68 ° = 180 ° 4x = 180 ° - 68 ° x = 112 ° / 4 x = 28 ° ANGLE AOC = ( 3* 28 ° - 7) = 84 - 7 = 77° ANGLE BOD = 28° + 20° = 48 °

Discussion

17.	9x2-12x+4 factorise it please help me the best answer will be marked as brainliest
Answer» HEY here your ANSWER don't FORGET to CONSIDER as BRAINLIEST

Discussion

18.	9x^2-6x+1 factorise by splitting middle term
Answer» Here is your ANSWER.....................

Discussion

19.	Sin^6+cos^6+3sin²cos²
Answer» USING SIMPLE FORMULA a³+b³=(a+b)(a²-ab+b²) and a²+b²=(a+b)²-2ab And IDENTITY sin²x+cos²x=1

Discussion

20.	If a point(x,y) is equidistant from the points (a+b, b-a) & (a-b, a+b), then prove bx = ay.
Answer» (a+B+a-b/2,b-a+a+b/2)=(X,y) (a,b)=(x,y) a/b=x/y ay=bx

Discussion

21.	The cost of 6 chocolates is rupees 10 1/2. what is the cost of one chocolate
Answer» the COST of ONE CHOCOLATE is RS 1.75.

Discussion

22.	How to solve simplification
Answer» By USING BODMAS RULE

Discussion

23.	What is the method to do
Answer» Here is ur ANSWER CHECK it. hope it is HELPFUL plz mark as brainliest if you are satisfied

Discussion

24.	The sum of three numbers in ap is 12 and the sum of there cube is 288 find the number
Answer» Hey MATE! LET the three nos. be a-d, a+d so, a-d+a+a+d=12 3a=12 a=12/3 a=4 (a-d)^3+a^3+(a+d)^2=288 now you can substitute the VALUE of a in the equation and solve for d hope it helps!!

Discussion

25.	In a circle with centre P, chord AB is drawn of length 13 cm. seg PQ ⊥ chord AB, then find l(QB).
Answer» A circle of CENTRE P is drawn , chord AB is drawn of length 13cm as shown in FIGURE. Let Q is the point on AB in such a way that PQ ⊥ AB. we know, chord is bisected by LINE passing through centre and perpendicular UPON it. here , chord AB is perpendicular upon PQ. so, AQ = QB = AB/2 => AQ = QB = 13cm/2 = 6.5 cm hence, length of QB = 6.5 cm

Discussion

26.	0.36 - Express the given decimals in p/q form where q≠0 and p, q are integers
Answer» Your ANSWER is 36/100... HOPE it HELPS you!!!

Discussion

27.	Which are the only prime numbers that end with 2 and 5
Answer» 2 and 5 are the only two PRIME NUMBERS that END with 2 and 5

Discussion

28.	Add -30 to the difference of - 9 and - 27.
Answer» DIFFERENCE of -9 & -27 = -9-(-27) = -9+27 = 18 now -30 +18 = -12 hence the required ANSWER is -12

Discussion

29.	The denominator of a fraction is greater than its numerator by 12.If the numerator is decreased by 2 and the denominator is increased by 7, the new fraction is equivalent with 1/2. Find the fraction.
Answer» HOPE this HELPS you........

Discussion

30.	6. If secA + tanA = m and secA - tanA = n, find the value ofStandard:- 10Content Quality Solution Required ❎ Don't Spamming ❎
Answer» Heya !!! SecA + TanA = M And, SecA - TanA = N Therefore, ✓MN = ✓ ( SecA + TanA ) ( SecA - TanA ) => ✓ ( Sec²A ) - ( Tan²A ) We know that, Sec theta = 1/Cos theta And, TAN theta = Sin theta / Cos theta So, ✓ ( Sec²A ) - ( Tan²A ) => ✓1/Cos² A - Sin²A / Cos²A => ✓ ( 1 - Sin²A ) / Cos²A => ✓Cos²A/Cos²A => ✓1 = 1 Hence, ✓MN = 1 ★ HOPE IT WILL HELP YOU ★

Discussion

31.	What is the formula of area of triangle
Answer» HEY BUDDY, here's your ANSWER $\binom{1}{2} \times base \times height$

Discussion

32.	find the value of k,if the following pair of linear equations has infinite number of solutions x+(k+1)y=5;(k+1)x+9y=(8k-1)
Answer» X+(k+1)×5;(k+1)x+9×5=(8×k-1) here we CUT the (k+1)and (k+1) therefore leaves x×5;x+45=8k-1 5x;45x=7k x=45/5 then cut them so ANSWER leave=x=9 x×k=9×7 xk= 63

Discussion

33.	The hcf of two numbers is 145 and their lcm is 2175 ofone no. is 125 fin the other no.
Answer» We KNOW, Product of numbers = LCM × HCF => 125 × other number = 145 × 2175 $=> \mathbf{other \: number \: } = \frac{2175 \times145 }{125} \\ \\ \\ \fcolorbox{red}{aqua} { => }\mathbf{other \: number} = 2523$

Discussion

34.	The tens digit of a no. Is five times the units digit . What is the no.
Answer» LET UNIT digit=x so, TENS digit=5x so, no. is OBTAINED 5x×10+x=50x+x=51x so, no. is 51x

Discussion

35.	Π
Answer» √2+√2(1+cos2(2theeta)) √2+√2(2cos²2theeta) √[email PROTECTED] √2([email protected]) √2(2cos²@[email protected]

Discussion

36.	19 boys turn out for playing hockey, of these 11 boys has wearing shirt and 14 has wearing pants how many are in full uniform?
Answer» Boys turning out for PLAYING hockey: 19 As PER the question, boys wearing shirt= 11 and boys wearing pant= 14 So, if we take boys wearing WHOLE uniform= x then, x= (11+14) - 19 = 25- 19 = 06

36.

19 boys turn out for playing hockey, of these 11 boys has wearing shirt and 14 has wearing pants how many are in full uniform?

Answer»

Boys turning out for PLAYING hockey: 19

As PER the question, boys wearing shirt= 11 and boys wearing pant= 14

So, if we take boys wearing WHOLE uniform= x

then, x= (11+14) - 19

= 25- 19

= 06

Discussion

37.	Find LCM of 84, 112, 196 by division method
Answer» 2 \| 84,112,196 2 \|42,56,98 2 \|21,28,49 7 \| 3,4, 7 2X2X2X7X3X4X7= 96X49 = 4704.

Discussion

38.	Find the HCF of the following by using division method q. 44, 121,132
Answer» HCF of 44,121, 132 equal to 11 ANSWER

Discussion

39.	Big bracket small bracket minus 1 upon 3 small bracket power2 to big brackets power 3
Answer» The ANSWER for this is 1/729

Discussion

40.	CosA.cos(90-A)-sinA.sin(90-A)=0
Answer» COSA . COS(90-A) - SINA . SIN(90-A) = LHS cosA . sinA - sinA . cosA cosA.sinA - cosA.sinA = 0 LHS = 0 Hence PROVED

Discussion

41.	the speed of the boat in still water is 8km/hr.If it takes the same time in going 20km downstream as it takes in going 12km upstream,find the speed of the water
Answer» Let the speed of water in the river be x km/hr Speed of boat upstream = (8 – x) km/hr Speed of boat downstream = (8 + x) km/hr Distance travelled downstream = 20 km Recall that TIME taken = (Distance)/(Speed) Time taken to travel downstream = 20/(8 + x) Distance travelled upstream = 12 km Time taken to travel upstream = 12/(8 – x) Given time taken to travel downstream = time taken to travel upstream Thus speed of water in the river is 2 km/hr. Recommend(0) Comment (0) more_horiz Like NextGurukul? Also explore our advanced self-learning solution LearnNext Offered for CLASSES 6-12, LearnNext is a popular self-learning solution for students who strive for excellence Explore Animated Video Lessons All India Test Series Interactive Video Experiments Best-in-class Books Links NewsSitemapTerms of usePrivacy StatementsDisclaimer Reach Us [email protected] 1800-419-1234(Toll-free) Monday to SUNDAY(11:00 AM to 8:00 PM) © 2018 NextEducation. All rights reserved. clear Let the speed of water in the river be x km/hr Speed of boat upstream = (8 – x) km/hr Speed of boat downstream = (8 + x) km/hr Distance travelled downstream = 20 km Recall that time taken = (Distance)/(Speed) Time taken to travel downstream = 20/(8 + x) Distance travelled upstream = 12 km Time taken to travel upstream = 12/(8 – x) Given time taken to travel downstream = time taken to travel upstream Thus speed of water in the river is 2 km/h

Discussion

42.	A flask weighs 64.27 g when empty and 150.35g when full of water. Find its weighs when. A.) 0.75 times full of water.
Answer» WEIGHT of FULL flasked WATER = 150.35 - 64.27 = 86.08 Weight of 0.75 full water = 0.75 X 86.08 = 64.56 Total weight (FLASK + water) = 64.27 + 64.56 = 128.83

Discussion

43.	A shopkeeper bought a sewing machine for Rs.3500 if he wants to earn a profit of 20% after giving a discount of 20% what should be the marked price?
Answer» 3500×120/80=mp mp=3500×3/2=1750×3=5250rs

Discussion

44.	If radius of a circle is 21 cm then find its area.
Answer» Hey!!! GIVEN the radius of the CIRCLE = 21cm hence, it's area = πr² = 22/7 × 21 × 21 = 22 × 3 × 21 = 1386cm² cheers!!!

Discussion

45.	In which quadrant does the point ( -2, 4) and (3,-1) lie
Answer» -2,3second QUADRANT 3,-1 FOURTH quadrant

Discussion

46.	In a parallelogram pqrs the besictors of angle p and angle q meet at o find angle poq
Answer» Now you can SEE this IMAGE. Here is your ANSWER.

Discussion

47.	Square root of 7 upto 2 decimal places
Answer» ANSWER: $\red {\sqrt{7}}\green {≈ 2.64}$ Step-by-step explanation: 2 \| 7.000000\| 2.645... * 4 ___________ 46 \| 300 ×6\| 276 ___________ 524\| 2400 × 4 \| 2094 ___________ 5285 \| 30600 **× 5\| 26425 ____________ $\sqrt{7} = 2.645\cdot\cdot\cdot$ $Rounding\: upto \: two \:decimals \sqrt{7} ≈ 2.64$ Therefore., $\red {\sqrt{7}}\green {≈ 2.64}$ •••♪

47.

Square root of 7 upto 2 decimal places

Answer»

ANSWER:

$\red {\sqrt{7}}\green {≈ 2.64}$

Step-by-step explanation:

2 | 7.000000| 2.645...

*** 4

___________

46 | 300

×6| 276

___________

524| 2400

× 4 | 2094

___________

5285 | 30600

****× 5| 26425

____________

$\sqrt{7} = 2.645\cdot\cdot\cdot$

$Rounding\: upto \: two \:decimals \sqrt{7} ≈ 2.64$

Therefore.,

$\red {\sqrt{7}}\green {≈ 2.64}$

•••♪

Discussion

48.	Rationalize the denominator 5 + root 3 by 5 minus root 3
Answer» 5+ROOT 3× 5+root3=25+5 root 3+5 root 3 +3 ==28+10 root 3

Discussion

49.	In a family, the father took 1/4 of the cake and he had 3 times as much as each of the other members had. the total number of family members is
Answer» Let the FAMILY members B x. FATHER ate 1/4 of the cake; Rest members got 3/4x, the father had 3 TIMES more than other members share i.e 3/4, Now, 3(3/4x) = 1/4, 3/4x = 1/12, 36 = 4x, X = 9, 9 + 1(father) = 10 total family member.

Discussion

50.	In ΔPQR the sides QP and RP have been produced to S and T such that PQ = PS and PR = PT. Prove that the segment QR \|\| ST.
Answer» HELLO, here is your answer. Hope it HELPS you.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

A boys age is one fourth that of his father. after24year the boy will be half the age of his father. find their present ages

The sum of three consecutive odd numbers is 33. what are the numbers?

Without actually calculating the cubes find the value of 48^3 - 30^3 - 18^3

Prove that cos2A÷1+sin2A=tan (45°-A)

Define(a) Juvenile phase,(b) Reproductive phase,(c) Senescent phase

all faces of a cube with an eight-meter edge are painted red. if the cube is cut into smaller cubes with a two-meter edge how many of the two-meter cubes have paint on exactly one face?

If one zero of the quadratic polynomial x square + 3 x + k is 2 find the value of k

Please solve this fast friends 2a²-ab - ac -3b²+4bc ; when a=1, b= -1 and c = 2

LCM of 110592 in detail

If the area of a rectangle is 16s2t and the length is 8st2, what would be the width of the rectangle, given that width is found by dividing area by length? Simplify the answer.

Verify that X3 +Y3+Z3-3XYZ=1/2 (X+Y+Z ) [(X+Y)2+(Y-Z)2+(Z-X)2]

A die is thrown once.find the probability of getting a number less than 3

How to find the diagonal of a square

Find the quadratic polynomial whose zeroes are √2 and -1/3

If 8.5 m of uniform rod weigh 30.6kg ,what will be the weight of 5m of the same rod

In the adjacent figure a b is a straight line find the value of x hence find angle AOC and OD

9x2-12x+4 factorise it please help me the best answer will be marked as brainliest

9x^2-6x+1 factorise by splitting middle term

Sin^6+cos^6+3sin²cos²

If a point(x,y) is equidistant from the points (a+b, b-a) & (a-b, a+b), then prove bx = ay.

The cost of 6 chocolates is rupees 10 1/2. what is the cost of one chocolate

How to solve simplification

What is the method to do

The sum of three numbers in ap is 12 and the sum of there cube is 288 find the number

In a circle with centre P, chord AB is drawn of length 13 cm. seg PQ ⊥ chord AB, then find l(QB).

0.36 - Express the given decimals in p/q form where q≠0 and p, q are integers

Which are the only prime numbers that end with 2 and 5

Add -30 to the difference of - 9 and - 27.

The denominator of a fraction is greater than its numerator by 12.If the numerator is decreased by 2 and the denominator is increased by 7, the new fraction is equivalent with 1/2. Find the fraction.

6. If secA + tanA = m and secA - tanA = n, find the value ofStandard:- 10Content Quality Solution Required ❎ Don't Spamming ❎

What is the formula of area of triangle

find the value of k,if the following pair of linear equations has infinite number of solutions x+(k+1)y=5;(k+1)x+9y=(8k-1)

The hcf of two numbers is 145 and their lcm is 2175 ofone no. is 125 fin the other no.

The tens digit of a no. Is five times the units digit . What is the no.

Π

19 boys turn out for playing hockey, of these 11 boys has wearing shirt and 14 has wearing pants how many are in full uniform?

Find LCM of 84, 112, 196 by division method

Find the HCF of the following by using division method q. 44, 121,132

Big bracket small bracket minus 1 upon 3 small bracket power2 to big brackets power 3

CosA.cos(90-A)-sinA.sin(90-A)=0

the speed of the boat in still water is 8km/hr.If it takes the same time in going 20km downstream as it takes in going 12km upstream,find the speed of the water

A flask weighs 64.27 g when empty and 150.35g when full of water. Find its weighs when. A.) 0.75 times full of water.

A shopkeeper bought a sewing machine for Rs.3500 if he wants to earn a profit of 20% after giving a discount of 20% what should be the marked price?

If radius of a circle is 21 cm then find its area.

In which quadrant does the point ( -2, 4) and (3,-1) lie

In a parallelogram pqrs the besictors of angle p and angle q meet at o find angle poq

Square root of 7 upto 2 decimal places

Rationalize the denominator 5 + root 3 by 5 minus root 3

In a family, the father took 1/4 of the cake and he had 3 times as much as each of the other members had. the total number of family members is

In ΔPQR the sides QP and RP have been produced to S and T such that PQ = PS and PR = PT. Prove that the segment QR || ST.