Explore topic-wise InterviewSolutions in Current Affairs.

This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.

1.

Tanya bought three pigs for 250 each. She sold one at a loss of 10%. At what percent profit shouldshe sell the remaining two pigs so as to gain 10% in the entire deal?6. Find the selling price, when​

Answer»

ANSWER:

HELLO MASSAGE me on WHATAPP now 9389974682

2.

10. A skipping rope is 2 m 35 cm long, but it is found 50 cm extra for Rahul.Calculate the accurate length of skipping rope for Rahul.​

Answer»

Answer:

1m 85cm

Step-by-step EXPLANATION:

I HOPE this will HELP you MARK me as braillianest

3.

Biswa decided to save money for a trip. He was checking some investment options for saving, but his friend Kalia suggested to check if he is interested in compound interest. Biswa found a bank that offers 6% compound interest calculated on a half-yearly basis. To know in detail, Biswa planned to deposit Rs. 20000 each on 1st of January and 1st of July of that same year. But Biswa is not that great at Math! Can you help him know, what amount he would have gained through interest by the end of the year?​plz fast

Answer»

ANSWER:

Mitochondria are membrane-bound CELL organelles (mitochondrion, SINGULAR) that generate most of the chemical energy NEEDED to power the cell's biochemical reactions. Chemical energy produced by the mitochondria is stored in a small molecule called ADENOSINE triphosphate (ATP).

4.

Daksh writes 3x20x50=3x50x20 in his copy. Which property of whole numbers is he showing here?A)Commutativity und multiplication B) Commutativity under addition. C) Distributivity of multiplication over addition,D) Multiplicative identity of whole numbers.CLASS 6​

Answer»

ANSWER:

commutitativity under ADDITION

5.

8. Cik Kayal meminjam dari Bank Desa sebanyak RM X dengan kadar faedah 5% setahun.Tempoh bayar balik adalah selama 8 tahun. Jika ansuran bulanan yang dibayar ialah RM218.75,berapakah jumlah wang yang dipinjam oleh Cik Kayal?​

Answer»

Answer:

Cik Kayal meminjam DARI Bank Desa sebanyak RM X dengan kadar faedah 5% setahun.

Tempoh bayar balik adalah selama 8 tahun. JIKA ansuran bulanan yang dibayar ialah RM218.75,

berapakah jumlah wang yang dipinjam oleh Cik Kayal

6.

(a)A wire is in the shape of a square of a side 10 cm. If the wire is rebent into a rectangle oflength 12 cm, find its breadth.(b)The diameter of a wheel is 28 cm. How many revolutions will it make on covering 176m? (Take π = 22/7 )

Answer»

Let's solve both the questions one by one!

\underline{\underline{ \mathfrak{ Answer \:  a :-}}}

  • The breadth of the rectangle is 8 cm.

Given :-

  • A wire is in the shape of a square of side 10 cm.
  • The wire is rebent into a rectangle of length 12 cm.

To find :-

  • It's breadth.

Step-by-step explanation :-

  • Here, it has been given that a wire is in the shape of a square of side 10 cm. We are asked to find the breadth of the wire if it is rebent into a rectangle of length 12 cm.

\underline{\sf Calculations :-}

To find the breadth of the rectangle made using the wire, we first have to find it's length.

  • Length of the wire will be equal to the perimeter of the square, because it's the boundary of the figure. So, to find the length of the wire, we first have to find the perimeter of the square.

We know that :-

\underline{\boxed{ \sf Perimeter  \: of  \: a  \: square = 4 \times Side}}

Here,

  • Side = 10 cm.

Hence,

\boxed{\tt Perimeter = 4 \times 10}

\overline{\boxed{\tt Perimeter = 40 \: cm}}

  • Perimeter of the square = 40 cm.
  • So, the length of the wire is 40 cm.

-------------------

Now, since the wire is rebent into the shape of a rectangle, THEREFORE perimeter of the rectangle will be equal to the length of the wire.

  • Length of the wire = 40 cm.

  • Hence, the perimeter of the rectangle is 40 cm.

Let's use the length and perimeter of the rectangle to find it's breadth.

We know that :-

\underline{\boxed{\sf Perimeter  \: of \:  a \:  rectangle = 2  \: (L + B)}}

Here,

  • Perimeter = 40 cm.
  • Length = 12 cm.

  • Let the breadth be b.

\underline{\underline{\mathfrak{Substituting \:  these \:  values \:  in \:  the \:  formula,}}}

\rm \longmapsto40 = 2 \: (12 + b)

Removing the brackets by multiplying,

\rm \longmapsto40 = <klux>24</klux> + 2b

Transposing 24 from RHS to LHS, changing it's sign,

\rm \longmapsto40 - 24 = 2b

Subtracting 24 from 40,

\rm\longmapsto16 = 2b

Transposing 2 from RHS to LHS, changing it's sign,

\rm \longmapsto \dfrac{16}{2}  = b

Dividing 16 by 2,

\overline{\boxed{\rm\longmapsto8 \: cm = b.}}

-------------------

  • Hence, the breadth of the rectangle is 8 cm.

-----------------------------------------------------------

\underline{\underline{\mathfrak{Answer \:  b :-}}}

  • The wheel will MAKE 200 revolutions for covering 176 m.

Given :-

  • The diameter of a wheel is 28 cm.

To find :-

  • The number of revolutions it will make for covering 176 m.

Step-by-step explanation :-

  • Here, the diameter of a wheel and the distance to be COVERED has been given to us. We have to find the number of revolutions the wheel will make for covering 176 m.

\underline{\sf Calculations :- }

  • The distance covered by the wheel in one revolution will be equal to it's circumference.

  • So, to find the number of revolutions the wheel will make for covering 176 m, we have to find the circumference of the wheel.

-----------------

For finding the circumference of the wheel, it is essential for us to find it's radius.

We know that :-

\underline{ \boxed{\sf Radius =  \frac{Diameter}{2} }}

Here,

  • Diameter = 28 cm.

Hence,

\boxed{\bf  Radius = \dfrac{28}{2}}

Dividing 28 by 2,

\overline{ \boxed{ \bf Radius = 14 \: cm}}

-----------------

Now let's find it's circumference!

We know that :-

\underline{\boxed{\sf Circumference  \: of  \: a  \: circle = 2\pi r}}

Here,

  • Radius = 14 cm.

  • pi = 22/7.

Hence,

\tt Circumference = 2 \times  \dfrac{22}{7}  \times 14

Reducing the numbers,

\tt Circumference = 2 \times  \dfrac{22}{1}  \times 2

Now let's multiply the remaining numbers, since we can't reduce them anymore.

\tt Circumference = 2 \times 22 \times 2

Multiplying the numbers,

\overline{ \boxed{\tt Circumference = 88 \: cm}}

-----------------

We know the circumference of the wheel now. So let's find the number of revolutions it will make to cover 176 m.

  • The wheel covers 88 cm in one revolution.

So, the number of revolutions needed by the wheel is :-

\underline{ \boxed{\sf\dfrac{Distance  \: to  \: be  \: covered}{Distance  \: covered  \: in  \: one \:  revolution}}}

First let's convert the distance to be covered in centimetres, so the units become same.

1 m = 100 cm.

Hence,

\boxed{\rm Distance\: to\: be\: covered = 176 \times 100}

Multiplying 176 by 100,

\overline{\boxed{\rm Distance\: to\: be \:covered = 17600 \: cm}}

Now, let's apply the given formula!

Here,

  • Distance to be covered = 17600 cm.

  • Distance covered by the wheel in one revolution = 88 cm.

So,

\boxed{\bf Number \:  of  \: revolutions  =  \dfrac{17600}{88}}

Dividing 17600 by 88,

\overline{ \boxed{\bf Number \:  of \:  revolutions  = 200}}

-----------------

  • Hence, 200 revolutions will be needed by the wheel to cover 176 m.

-----------------------------------------------------------

\underline{\rm Abbreviations \: used}

\sf L = Length.

\sf B = Breadth.

\sf R = Radius.

7.

Of the rectangleTwo sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm. Whaa .is the length of third side?llowing shapes:​

Answer»

Answer:

10 cm as 12 + 14 is 26 and 36 - 26 is 10

8.

.A car goes 20 miles on a gallon of gas driving at 60 miles/h. If the car is driven at 75 miles/h, it goes as far as70%. How many gallons of gas will be required to travel 210 miles/h.(a) 6.17(b) 22.5(c) 12(d) 15​

Answer»

Answer:

hey

ans is 120

At 60 MILES per hour, the car will GO 15*80%=12 miles on a gallon of gas.

So, 1 {gallon} = 12 {miles}; MULTIPLY both sides with ten: 10 {gallon} = 120 {miles}.

9.

In angle TPQ, angle T = 65°, angle P = 95° which of the following is a true statement ?(A) PQ < TP (B) PQ < TQ (C) TQ < TP < PQ (D) PQ < TP < TQ​

Answer»

ANSWER:

TQ<TP<PQ

Here's your answer..

Hope it helps you..

Mark as BRAINLIEST...

10.

B) Find the missing frequency in the following distribution table. The mean of thedistribution given is 56.[3]Class interval 0-20 20-40 40-60 60-80 80-100 100-12016f111612frequency10​

Answer»

Answer:

The mean of the

distribution GIVEN is 56.

[3]

CLASS INTERVAL 0-20 20-40 40-60 60-80 80-100 100-120

16

f

11

16

12

frequency

10

11.

Out of the total amount of Rs.4898, B receives 20% more than A, and 25% more than C. Whatis B's share ?​

Answer»

ANSWER:

Outofa TOTAL amount of Rs 4,898, B RECEIVES 20% more than A and 25% more than C. What is B's SHARE? (a) Rs 930" ; ( b) ...

12.

3) Ramesh carrying 5.250kgs of sugar. His brother carrying 3 times of weight that of RameshHow much does his older brother carrying?​

Answer»

ANSWER:

Step-by-step EXPLANATION:

NYC WORK

13.

4. Which of the following is a positive rational number?2 3 3 b.d.1015a.C.-780​

Answer»

ANSWER:

I HOPE it will HELP you

Step-by-step EXPLANATION:

B, d

14.

A bag contains 5 blue and 4 black balls Three balls are drawn at random. What is theprobability that 2 are blue and 1 is black?​

Answer»

\huge{\underline{\mathcal{Solution}}}

15.

In a solution of water and sugar, the ratio of sugar towater is 3 : 5. If 30% of this solution is taken out and5% of the initial quantity of solution is added as waterto the remaining quantity of the mixture then find thenew ratio of sugar and water in the solution.

Answer»

Step-by-step EXPLANATION:

smmsmsmskwkwmwnene the menekeekemneieis cbfidjdndndjdkdndndnennrrnrnnrnrnrnrjrjrje

16.

A rectangular lawn is 60 m long and 50 m broad. It has 2.5 m wide pathsurrounding inside. Find the cost of flooring of the path at Rs 2 per sq. ans 1059 rupees​

Answer»

ANSWER:

CORRECT answer is 1050 RUPEES

17.

V) Find the distance between the points All,3(i) AComplete and write any one of the following activities :Complete the following activity to find AB and BC with thehejrnhenh hehenjdh​

Answer»

ANSWER:

NSS dgsilansbxjdskmdnsjdksks

18.

*Rs. 52000 amounts to Rs. 57600 at 10% rate compounded anually in 2 years. Find the compound interest?*1️⃣ ₹ 20002️⃣ ₹ 500003️⃣ ₹56004️⃣ ₹ 52600​

Answer»

Solution:-

━━━━━━━━━━━━━━━━━━━━━━━━━━

\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}

\implies Here it is GIVEN in the question that the PRINCIPAL, amount, rate and TIME is Rs. 52,000, Rs. 57,600, 10% and 2 years RESPECTIVELY. Now, the question has asked us to find out the compound interest. As amount is given, so to find the compound interest we simply need to subtract the principal from the amount and we will easily get the compound interest.

ANSWER:-

❖ The compound interest is Rs. 5,600. Option C is correct.

GIVEN:-

➯ Amount = Rs. 57,600

➯ Principal = Rs. 52,000

➯ Rate = 10%

➯ Time = 2 years

TO FIND:-

↬ Compound Interest = ?

FORMULA:-

↝ Compound Interest = Amount - Principal

SOLVING BY APPLYING THE FORMULA:-

➯ Amount = Rs. 57,600

➯ Principal = Rs. 52,000

➯ Rate = 10%

➯ Time = 2 years

↝ Compound Interest = Amount - Principal

  • Finding the compound interest:-

» CI = 57,600 - 52,000

» CI = 57,600 - 52,000 = 5,600

» CI = Rs. 5,600

Thus, we got the answer. The compound interest is Rs. 5,600.

━━━━━━━━━━━━━━━━━━━━━━━━━━

19.

कृति I : आपके कक्षा में विद्यार्थियों की कुल संख्या n(S) =कक्षा में चश्मा लगाने वाले विद्यार्थियों की संख्या n(A)सभी विद्यार्थियों में से चश्मा लगाने वाले एक विद्यार्थी के यादृच्छिक पद्धति से चुने जाने केP(B)ति II : नमूना अवकाश स्वयं निश्चित करके निम्नलिखित चौखट भरें ।नमूना अवकाशघटना A के लिए शर्तसंख्या 'सम' हो।S = {}A = {n(S)​

Answer»

ANSWER:

Answer:

\huge{\textbf{\textsf{{\color{navy}{an}{\purple{sw}}{\pink{er}}{\color{pink}:)}}}}}

EXPLANATION:

20.

(1) 4er-I (CBE)यम पाली)(3) 0.75 (4) 0.2(SSC CGL Tier-1 (CBE)परीक्षा-01.02.2017, द्वितीय पाली)(3) 6-सकता है-भाग पूराकर सकताकितने दिन104.A और Eकरते हैं20 दिनों-दिन198. प्रबोध ने 30 दिन में एक काम का2कर लिया है। सपन बचा हुआ काम 45 दिन मेंपूरा करता है। दोनों मिलकर यह काम कितनेदिन में पूरा कर सकते हैं?(1) 18 दिन(2) 48 दिन(3) 27 दिन(4) 36 दिन(SSC CHSL (10+2) Tier-I (CBE)परीक्षा-02.02.2017, द्वितीय पाली)99. A किसी काम को 5 दिन में कर सकता है औरB उसी काम को 4 दिन में कर सकता है तो वेदोनों मिल कर उस काम को कितने दिन मेंउसकामनदिन लगेंगे(1) 60(3) 450.04.2017)में रंगता है।का कितना​

Answer»

Answer:

2 2/9

99 QUESTION and

please TYPE rest questions clearly

21.

दक्ष 3x20x50=3x50x20 को अपनी कॉपी में लिखताहै। वह यहाँ पूर्ण संख्याओं का कौन सा गुण दर्शा रहा? Daksh writes 3x20x50 = 3x50x20 in hiscopy. Which property of whole numbers is heshowing here?गुणन की क्रमविनिमेयता Commutativity undermultiplication.योग की क्रमविनिमेयता Commutativity underaddition. .योग पर गुणन क्रमविनिमेयता Distributivity ofmultiplicationover addition.पूर्ण संख्याओं का गुणात्मक तत्समक Multiplicativeidentity of whole numbers​

Answer»

DISTRIBUTIVITY of MULTIPLE

22.

M apple is placed in a basket. How many apples must beplaced in 10 such baskets?A) 10+mB) 10mC) 10-mD) 10(m+10m)CLASS 6​

Answer»

ANSWER:

B ) 10m

1 BASKET have=m apple

10 basket CONSIST = 10×m= 10m

23.

1.14-एक बस में डीजल भरने में 15 मिनट लगते है तो दो बसो मेंडीजल भरने में कितना समय लगेगा?​

Answer»

Answer:

2 BUS me 30 MINUTE langenge

24.

एक गाडी विशिष्ट अंतर एकाच ठराविक वेगाने कापते. जर गाडीचा वेग 6 कि. मी /तास वाढला असता तर ती तिच्या निर्धारित वेळेच्या 4 तास लवकर पोहचते. जर गाडीचा वेग 6 किमी/तास कमी झाला असता तर गाडीला तिच्या निर्धारित वेळेपेक्षा 6 तासजास्त लागतील. तर गाडीने एकूण किती किमी प्रवास केला? ​

Answer»

ANSWER:

PLEASE MARK me as BRAINLIEST

25.

11. निम्न में से कौन-सा व्यंजक बहुपद नहीं है-(छ.ग. 2018 सेट A)(a) 3x+7x-2(b) 2x+3(c) x2-3√x+2(d) x2-1/2x+3​

Answer»

OPTION C

→ {x}^{2}  -  3\sqrt{x}  + 2

26.

Page No2 Rs 50 paise ; 3Rs 50 paiseWrite the ratio between the twogiven quantities in simplest form​

Answer»

Answer:

50 : 70

Step-by-step explanation:

if we CONVERT 2.50 RS it is 250 p

if we convert 3.50 rs it is 350 p

the ratio would be 250:350

so ,the answer is 50:70

27.

The length and breadth of a rectangular piece or land are 500m and 300m respectively.Find its area and the cost of land if m² of land costs Rs. 10,000/​

Answer»

We have ,

Length of LAND = 500m

Breadth of Land = 300m

1) Perimeter = 2(l+b)

= 2 (500+300)m

= 2 × 800 meter.

Perimeter = 1600m

2) AREA of land = (l × b)

= (500 × 300)m sq.

= 150000 m sq.

3) The cost of 1m sq. of land = 10,000

The cost of 150000m sq. of land = 10,000 × 150000

= rs. 1500000000

28.

لال 24+19)C=Quatency eta 1006 LUIS( 〈시Defect D o BC è ncp fuoste soo (!!!OLAyorS​

Answer»

Answer:

23 is an answer ok thanks I will be your something'to mujhe forward to HEARING your feedback to TRUST you MAMA ki kasa you mam you know me better to have you BEENA a good day

29.

1)Arace track is in form of a ring whose inner circumference is 528 m and the outer circumference is 616 mFind the width of the track​

Answer»

Solution:

Outer CIRCUMFERENCE = 616 m

RADIUS R \frac{C}{2\pi}=\frac{616\times7}{2\times22}=<klux>98</klux>\ m

=98 m

Inner circumference = 528 m

Inner radius=\frac{528\times7}{2\times22}=<klux>84</klux>\ m

=84 m

Width of track = R - r

= 98 - 84 = 14 m

30.

Practice question with detailed explanationLet X and Yare the two discrete random variables with the following probability mass functions (PMF).PMF of X:10628510Х0.150.1P(X=30.220.370.16PMF of Y:4.106124Y140.170.290.220.180.14P (Y = y)Compute the value of E(X+Y).​

Answer»

ANSWER:

fulgxgljgdjgznvjggigxkvxzigz

31.

20. In the given figure, PQRS is a parallelogram. Find the value of x and yR(8xlag2732P​

Answer»

HI

Your ANSWER is in the ATTACHMENT

HOPE it HELPS....

32.

From the graph, answer the following questions.(a) Choose the letter(s) that indicate the location of the point (0, 5)​

Answer»

ANSWER:

POINT OB inducate the LOCATION

33.

Dhivya and Ramya started a business. They both invested Rs. 100,000 each. At the end of 6 months, Ramya predicts that the business will end up in a loss and she withdrew Rs. 60,000 from the business. But at the end of one year, the business generated a profit of Rs. 34,000. What will be the profit share ofeach person?a) 20000b) 14000c) 17000d) none​

Answer»

ANSWER:

D this is WRITE answer BYA

34.

Question 24:The peak value of sinusoidal ac current of 4.78rms is5.45 amp6.76 amp4.56 amp4.78 amp​

Answer»

ANSWER:

ANSWERING it by TOMORROW...

35.

. It two cubes of each edge Of Length 4cm are joinedtogether, then its volume is) 494 by 46 042 di NOTA​

Answer»

ANSWER:

write the DECIMAL FORM and state the KIND of.

36.

If f (0) = 0, f (1) = 1, f (2) = 2 and f (x) = f (x - 2) + f (x - 3) for x = 3, 4, 5,&.., then f(9) = (a) 12(b) 13(c) 14(d) 10​

Answer»

ANSWER:

the answer is. the only THING that a,B,C,d

37.

Which of the option given below has the first four multiples of the number 7?1) 0,7,14,212) 7,14,21,283) 7,14,28,354) 7x4=28class 6​

Answer»

Answer:

option C is CORRECT

Step-by-step EXPLANATION:

THANKS for pointas

38.

Two circle are touching internally at the point. P. a lineintersects those circlethose circle in the point A,B,C and Drespectively prove that angleAPB= angleCPonly bhagyashreechowdry give ans ​I MARK bhagyashreechowdry BRAINLIEST ONLY

Answer»

I HOPE this is CORRECT

PLEASE MAKE me BRAINLIEST

39.

2. The interest on Rs. 3000, deposited in a bank at 9 %p.a for 2 years isa. Rs. 330 b. Rs. 540 c. Rs. 2460d. Rs. 3540 ()-​

Answer»

Answer:

B) Rs. 540

Step-by-step explanation:

PRINCIPLE:- 3000

Rate=9%p.a

Time =2 year

Simple intrest = PxRxT/100

= 3000x9x2/100

= Rs.540

THANK you❤️

40.

Is thrice as fast as b and is therefore able to finish a work in 60 days less than that of b find the time in which they can do it working together​

Answer»

ANSWER:

Aptitude :: Time and WORK - Discussion

4. A is thrice as GOOD as WORKMAN as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in: ... So, A takes 30 days to do the work

41.

Sin3 9+cos39(22.) Prove that :-= 1 - sin cossin 9+cos y

Answer»

Answer:

sin3 9+cos39

(22.) Prove that :-

= 1 - sin cos

sin 9+cos y

Step-by-step EXPLANATION:

please mark it as brainliest

42.

U Find De and Pas For the following data:30354045505560No ofdefectiveproductsNo of Firms12351015878​

Answer»

ANSWER:

I didn't UNDERSTAND your QUESTIONS plz send again

15 8 35

43.

Ubject: Mathematics Grade: 5Date: 27.03.2021 Maximum Marks: 50 I. Choose the correct answer:- 10 X 1 = 10 1.The prime factorization of 36 is _______________ a. 2x3x2x3 b. 2x2x3x3 c. 3x3x2x2 d. All of these 2. If a number is divisible by 16, it is also divisible by ____________ a. 2 b. 4 c. 8 d. All of these 3. Two numbers that have only 1 as a common factor are called __________numbers. a. prime b. coprime c. composite d. none of these 4. Numbers that have only two factors is called ___________ numbers a. coprime b. prime c. composite d. none of these 5. The product of the HCF and LCM of two numbers is 48. If one of the numbers is 6, the other number is ______________ a. 8 b. 4 c. 6 d. 12 6. Which pair of fractions are equivalent? a. 2/5 and 1/5 b.10/3 and 3/10 c. 3/7 and 6/14 d. ½ and 2 7.1 / 2 = ___/6 a. 4 b. 3 c. 5 d. 6 8. There are _______________ quarters in 4 a. 10 b. 15 c. 16 d. 12 9. The multiplicative inverse of 1 is ____________ a. less than 1 b. greater than 1 c. equal to 1 d. cannot be found​

Answer»

Answer:

1.We can write 36 as a product of prime FACTORS: 36 = 2² × 3². The EXPRESSION 2² × 3² is SAID to be the prime factorization of 36.

Step-by-step EXPLANATION:

i hope this answer is right

44.

1.2÷1000 solve the problem ​

Answer»

Answer:

1.2

÷

1000 SOLVE the problem

ans: 1200

Step-by-step EXPLANATION:

45.

2. On cover of one dice 0,1,2,3,4,5 numbers are there. If thatdice throws two times then find probability of getting o as the product of upper number.​

Answer»

Answer:

good morning you will be obtained and your family and friends to you and your family and friends is tuduproudu DRY CLEAN only WAY to get the INTENDED recipient you are not the intended recipient you are not the intended recipient you are not the

46.

Increased to restore it to the original value?16. The length and the breadth of a rectangle are 10 cm and 8 cm. If its length increases by 15% andbreadth by 20%, find the percentage increase in its area17 Two sides of rectangle are 20 cm and 10 cm. They are increased in the ratio 2 3 and 3:7 Find the​

Answer»

ANSWER:

If the length and BREADTH of a rectangle is INCREASED by the 10% and 8% respectively, ...  

47.

30) One of the roots of the quadratic equation kr--x-12 = 0 is ž. Complete thefollowing activity to find the value of k.​

Answer»

Answer:

kalal two kal fal laal laal laal kal day kal laal laal HALL dalal let kal of kal kal kal kal kal ka GL kal TAK hall jao DAL a sari sleep WELL well all Tak

48.

Find x,0

Answer»

CORRECT Statement is

Find x,

\sf \: If \: A = \begin{bmatrix} cosx &  - sinx\\ sinx & cosx\end{bmatrix}, \: 0 < x < \dfrac{\pi}{2}  \: when \: A + A'  = I

\large\underline{\sf{Solution-}}

Given that

\rm :\longmapsto\:A = \begin{bmatrix} cosx &  - sinx\\ sinx & cosx\end{bmatrix}

So,

\rm :\longmapsto\:A'  = \begin{bmatrix} cosx &  sinx\\  - sinx & cosx\end{bmatrix}

Now,

ACCORDING to statement,

\rm :\longmapsto\:A + A'  = I

\rm :\longmapsto\:\begin{bmatrix} cosx &  - sinx\\ sinx & cosx\end{bmatrix} + \begin{bmatrix} cosx &  sinx\\  - sinx & cosx\end{bmatrix} = \begin{bmatrix} 1 & 0\\ 0 & 1\end{bmatrix}

\rm :\longmapsto\:\begin{bmatrix} 2cosx &  0\\  0 & 2cosx\end{bmatrix} = \begin{bmatrix} 1 & 0\\ 0 & 1\end{bmatrix}

On comparing, we GET

\rm :\longmapsto\:2cosx = 1

\rm :\longmapsto\:cosx = \dfrac{1}{2}

\rm :\longmapsto\:cosx = cos60 \degree

\bf\implies \:x = 60 \degree \:

Additional INFORMATION :-

For any two MATRICES A and B,

\boxed{ \bf \:  {(A + B)}^{'}  = A'  + B' }

\boxed{ \bf \:  {(A  -  B)}^{'}  = A'   -  B' }

\boxed{ \bf \:  {(kA)}^{'}  = k \: A' } \:  \sf \: where \: k \in \: R

\boxed{ \bf \:  {(A' )}^{'}  = A}

\boxed{ \bf \:  {(AB)}^{'}  = B' A' }

49.

How many numbers between 300 and 1000 can be made with the digits 0, 1,2,3,4,5 if therepetition of digits is not allowed?​

Answer»

The NUMBER of ways = 3 × 5 × 4 = 60 ways. 4 DIGIT numbers: Less than 3,000 can be formed in = 2 × 5 × 4 × 3 = 120 ways. ∴ Total number of ways = 120 + 60 = 180 ways.

Step-by-step EXPLANATION:

hope it helps for you .

please MARK me as brainliest.

50.

Simplify the followinggive all the answer please​

Answer»

Answer

→1)4000 \\

→2) \: 80

→3) 576

→4) 1944

Please MARK in BRAINLY