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. |
The value of sin A and cose A is always less than 1.why |
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| 2. |
Mr. Verma took a loan of Rs. 1,67,900 from bank on 1st Feb. 2004 at the rate ofinterest 11.5%. The rate of interest increased by 1% on 1st April, 04. Find the amount paid by him on 19th August, 04 to clear the debt. |
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| 3. |
Simplifyii) √52 - √72 - √27 + 2√325iii) 5√6 - √252 - √294 + 6√7iv) √204 - √150 + √378 –√3 |
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Answer» this is your answer BRO |
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| 4. |
Draw a line segment of AB=8cm and divide it in the ratio of 3:2 by geometric construction |
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| 5. |
(ii) at an angle of 60° to the force(d) In block and tackle system, a load of 7.5 kgf is raised with an effort of 2.5 kgf. Ifthere are 4 pulleys in the system. Find mechanical advantage, velocity ratio andefficiency[2](e) Name a machine which is used to(1) Multiply force(ii) Change the direction of force applied[2]QUESTION 2(a) 20 g of ice is mixed with 80 g of water at 0°С. Find the final temperature of themixture. (Take specific latent heat of ice as 336 Jg-1)12fb) Give one example each of natural vibration, forced vibration and resonance.[12(c) Name the physical quantity that is measured in: |
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Answer» Answer: Given that, LOAD =75kgf Effort =25kgf Number of pulleys n=3 We know that, The mechanical ADVANTAGE is M.A= E L
M.A= 25 75
M.A=3 Now, the velocity RATIO is Velocity ratio = numbers of pulleys V.R=3 Now, the efficiency is η= V.R M.A
η= 3 3
η=1×100 η=100% |
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| 6. |
Given that 7^n = k , find 7^n+2 in terms of K |
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Answer» Since, 7^n = k To simplify 7^n + 2. = 7^n +2 = k +2 [SUBSTITUTING 7^n = k ] Hope it helps! |
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| 7. |
What is the slope of the line that passes through the points (−5,8) and (−11,8)? Write your answer in simplest form. |
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| 8. |
––– Solve :-sin x − 3 sin2x + sin3x = cos x − 3 cos2x + cos3x !!... Required Quality Answer ...!! |
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Answer» We're asked to solve, \longrightarrow\sin x-3\sin(2x)+\sin(3x)=\cos x-3\cos(2x)+\cos(3x)⟶sinx−3sin(2x)+sin(3x)=cosx−3cos(2x)+cos(3x) or, \longrightarrow\sin(3x)+\sin x-3\sin(2x)=\cos(3x)+\cos x-3\cos(2x)⟶sin(3x)+sinx−3sin(2x)=cos(3x)+cosx−3cos(2x) We have, \sin A+\sin B=2\sin\left(\dfrac{A+B}{2}\right)\cos\left(\dfrac{A-B}{2}\right)sinA+sinB=2sin( 2 A+B
)cos( 2 A−B
) \cos A+\cos B=2\cos\left(\dfrac{A+B}{2}\right)\cos\left(\dfrac{A-B}{2}\right)cosA+cosB=2COS( 2 A+B
)cos( 2 A−B
) Then, \footnotesize\text{$\longrightarrow2\sin\left(\dfrac{3x+x}{2}\right)\cos\left(\dfrac{3x-x}{2}\right)-3\sin(2x)=2\cos\left(\dfrac{3x+x}{2}\right)\cos\left(\dfrac{3x-x}{2}\right)-3\cos(2x)$}⟶2sin( 2 3x+x
)cos( 2 3x−x
)−3sin(2x)=2cos( 2 3x+x
)cos( 2 3x−x
)−3cos(2x) \longrightarrow2\sin(2x)\cos x-3\sin(2x)=2\cos(2x)\cos x-3\cos(2x)⟶2sin(2x)cosx−3sin(2x)=2cos(2x)cosx−3cos(2x) Taking \sin(2x)sin(2x) COMMON in LHS and \cos(2x)cos(2x) common in RHS, \longrightarrow\sin(2x)(2\cos x-3)=\cos(2x)(2\cos x-3)⟶sin(2x)(2cosx−3)=cos(2x)(2cosx−3) Taking RHS to LHS, \longrightarrow\sin(2x)(2\cos x-3)-\cos(2x)(2\cos x-3)=0⟶sin(2x)(2cosx−3)−cos(2x)(2cosx−3)=0 \longrightarrow(\sin(2x)-\cos(2x))(2\cos x-3)=0⟶(sin(2x)−cos(2x))(2cosx−3)=0 This implies, \longrightarrow2\cos x-3=0⟶2cosx−3=0 \longrightarrow \cos x=\dfrac{3}{2}⟶cosx= 2 3
This is not possible since \cos x\in\left[-1,\ 1\right]\not\cancel\ni\dfrac{3}{2}.cosx∈[−1, 1] ∋
2 3
. And, \longrightarrow\sin(2x)-\cos(2x)=0⟶sin(2x)−cos(2x)=0 \longrightarrow\sin(2x)=\cos(2x)⟶sin(2x)=cos(2x) \longrightarrow\dfrac{\sin(2x)}{\cos(2x)}=1⟶ cos(2x) sin(2x)
=1 \longrightarrow\tan(2x)=1⟶tan(2x)=1 \Longrightarrow 2x=n\PI+\dfrac{\pi}{4}⟹2x=nπ+ 4 π
\longrightarrow\underline{\underline{x=\dfrac{n\pi}{2}+\dfrac{\pi}{8}}}⟶ x= 2 nπ
+ 8 π
This is the SOLUTION of the equation where n\in\mathbb{Z}.n∈Z. |
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| 9. |
if alpha and beta are the zeros of the quadratic polynomial 3 X square + 2 x minus 6 then find the value of one by alpha plus one by beta |
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Answer» PLEASE FOLLOW AND MARK ME AS BRAINLIEST!! I WILL TOO FOLLOW AND GIVE THANKS! "Thank you friend". |
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| 10. |
the adjacent side of a rectangle are in the ratio 5:3 and the area of the rectangle is 29.4sq m find the lenght and breadth of rectangle |
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Answer» I don't know.Thank you OMG.... |
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| 11. |
Evaluate the following in two ways 13+(-6)+(-34) |
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Answer» Step-by-step EXPLANATION: I HOPE it's HELPFUL forMARK me BRILLIANT Mark me brilliant |
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| 13. |
43x+37y=357 37x+43y=363 by reduction method |
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Answer» Answer: PLS MARK me as BRAINLIEST |
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| 14. |
What is the slope of the line that passes through the points (-5, 8)(−5,8) and (-11, 8) ?(−11,8)? Write your answer in simplest form. |
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Answer» Answer: thullu Step-by-step explanation: I hope it HELPED you keep SMILING.... |
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| 15. |
Twenty students are asked about their favourite Netflix genre. Their answers are recorded below. Use the information to create a pie chartGenre # of students Percentage DegreeComedy 4 4/20 *100= 4/20 *360=Action 5 5/20 *100= 5/20 *360=Anime 6 6/20 *100= 6/20 *360=Drama 1 1/20 *100= 1/20 *360=SciFi 4 4/20 *100= 4/20 *360= |
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Answer» Answer: TWENTY students are asked about their favourite Netflix genre. Their answers are recorded below. Use the information to create a PIE chart Genre # of students Percentage Degree Comedy 4 4/20 *100= 4/20 *360= Action 5 5/20 *100= 5/20 *360= Anime 6 6/20 *100= 6/20 *360= Drama 1 1/20 *100= 1/20 *360= SciFi 4 4/20 *100= 4/20 *360= |
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| 16. |
(x+y)² -4xy-9z² factorise |
Answer» SOLUTION:-→ (x+y)²-4xy-9z² → x²+y²+2xy-4xy-9z² → x²+y²-2xy-9z² → (x-y)²-9z² Hope It HELPS You ✌️ |
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| 17. |
दोन संख्यांची बेरीज 35 व त्यांच्यातील फरक 13 असेल तर त्या दोन संख्या कोणत्या ? |
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Answer» 11 and 24 |
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| 18. |
Frame linear equations in two variables : Difference,between two complementaryangles in 6 |
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Answer» difference in two COMPLEMENT angles are that both are acute BITE of different angles. They MUST feel the 90 degree |
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| 19. |
Find three real life examples where volume is used |
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Answer» Answer: Uses of Volume in DAILY Life Bottoms Up. ONE of the main ways volume is USED daily is when calculating DRINKING amounts. ... Fueling Up. When you fill up your VEHICLE, the volume of gasoline your gas tank holds determines your purchase. ... Cooking and Baking. ... Step-by-step explanation: here is your answer if you like my answer please follow |
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| 20. |
A= 4 -26 3 B= 0 2 1 -1C= -2 31 -1 Find A² -A+BC |
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Answer» Answer: 3+6374483874+4747474 |
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| 21. |
Factorize the expression:P3+27 |
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Answer» Step-by-step EXPLANATION: p³+27 (p)³+(3)³ Pls MARK me as brainliest. Hope it HELPS u dude. |
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| 22. |
If A= 4x2+y2-6xyB=3y2+12xy2+8xy c=6x2+xy26xyfind I. A+B+C ii.(A-B)-C iii.2A+B |
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Answer» This is the correct way to solve this answer ... we need to always keep the LIKE terms TOGETHER and solve it .. I Hope you UNDERSTOOD how to solve it ...If you want help in MATHS I am always READY to help youThank you |
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| 23. |
If q(x)=3x-2x²+2x-1 them q(1) q(-2) q(-3) |
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Answer» Answer: q(1)=6 q(-2)=-3 q(-3)=2 Step-by-step explanation: Simplify. 3x-2x^2+2x-1=2x^2+5x-1 Substitute values into the equation. q(1)=6 q(-2)=-3 q(-3)=2 |
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| 24. |
1. Area of square is given by __________2. ___________ has one or many terms in the expression.3. 3,4 and ____ from pythagoras triplet. 4. the average is found by dividing the sum of all scores in the given data by _________ |
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Answer» Answer: (1) A=a2 (2) MONOMIAL (3) 5 (4) "ARITHMETIC MEAN" |
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| 25. |
Use Euclid’s division lemma to show that the square of any positive integer is either ofthe form 3m or 3m + 1 for some integer m. |
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Answer» Answer: step by step EXPLANATION is there in above PICTURE Hope this HELPS you... |
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| 26. |
H(t)=t square -15 find the zeroes of the polynomial |
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Answer» Answer: we EQUATE POLYNOMIAL to zero, ADD 1 both side, Taking root both side, So, the zeros of the polynomial are 1 , -1. |
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| 27. |
Simplify (1/2-²) + (1/3-²) +(1/5-²)guys plz its urgentplz very urgentif u don't understand what I have written then take a look at the imageiron pool plz answer it |
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Answer» Step-by-step EXPLANATION: PLS mark me as BRAINLIEST. |
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| 28. |
1) A circle is divided into 8 equal arcs. Find the measure of an arc. |
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Answer» The answer is 45. Step-by-step explanation: Because the WHOLE circle is 360 and it was divided into 8 so the answer 45.18-Feb-2021 |
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| 29. |
4x+3y =19 and 4x- 3 y = -11 |
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Answer» Step-by-step explanation: I HOPE it's HELPFUL for youMARK me BRILLIANT Mark me brilliant |
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| 30. |
If X=1-√2 find the value of (x-1/X)^3 |
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Answer» HOPE This Helps Step-by-step EXPLANATION: (x−x1) 3=8 |
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| 31. |
Find the simple interest on Rs 4500 for 2 years at 6% per annum. find the amount after 2 years |
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Answer» Before, finding the answer. LET's find out we can find the answer.
__________________________ Given :
To find :
Solution : We know that, THEREFORE, Simple Interest is Rs. 810. Now, Therefore, the Amount is Rs. 5310.
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| 32. |
Ratio of mom and son is 9:4 if age of mom is 54 find age of son |
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| 33. |
Multiply the reciprocal of 9/11 by the additive inverse of -18/55 |
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Answer» Answer: Step-by-step explanation: To solve this we first NEED to know what is reciprocal and additive inverse.
So, Now, According to the question we have to MULTIPLY 11/9 by 18/55. Reducing the numbers, Multiplying the numbers, Hence,
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| 34. |
The adjacent side of a rectangle are in the ratio 5:3 and the area of the rectangle is 29.4sq mpls answer my question fast |
Answer» HOPE The Above ATTACHMENT Will HELP UH |
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| 35. |
fine the average increase rate if increase in population in first year is 10% that in second year in is20% and in third year is 30% |
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Answer» Step-by-step explanation: hope this will help to u please MARK me BRAINLIEST |
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| 36. |
Complete the number grids by following the direction of arrows |
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| 37. |
Draw a triangle ABC with side BC= 6 cm, AB = 5 cm and angle ABC=60°. Then construct¾ of the corresponding sides of the triangle ABC? |
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Answer» Answer: 169 Step-by-step explanation: |
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| 38. |
A number was divided by 97,the quotient is 206,and the remainder was 14,find the number |
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Answer» hope it was helpful Step-by-step explanation: A number was DIVIDED by 97 the quotient was 28 6 and remainder is 14. Find the number ? ( WRITE the STATEMENT also as it... brainly.in/question/18724809?utm_source=android&utm_medium=share&utm_campaign=question |
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| 39. |
Solve 1. 4=5(p-2)2. 10p=1003.20 t=-104.2q+6=12 |
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Answer» Answer: 1) 4= 5(p-2) 4 = 5p - 10 4 + 10 = 5p 14 = 5p 14 = p 5 2) 10P = 100 p =100 10 p = 10 3)20t = 10 20 × t = 10 t = 10 20 t = 1 2 4) 2q + 6 = 12 2q = 12 -6 2q = 6 Q = 6 2 q = 3
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| 40. |
2 8 12=14,6 24 30=6, 2 7 8=? |
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Answer» Answer: Communication is simply the act of transferring information from ONE place, person or group to another. Every communication involves (at least) one sender, a MESSAGE and a recipient. ... These INCLUDE our emotions, the cultural situation, the medium used to COMMUNICATE, and even our LOCATION. |
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| 41. |
The length of the rectangle is 65 dm and the width 23 dm. |
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Answer» So the AREA of RECTANGLE= 1495dm2 perimeter of rectangle= 2990 DM |
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| 42. |
What is the magnitude of vertical and horizontal component of force of 44 Newton acting at an angle of 40 degrees with y axis |
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Answer» Answer: Communication is simply the act of transferring information from one place, person or GROUP to another. Every communication INVOLVES (at least) one sender, a message and a recipient. ... These include our EMOTIONS, the CULTURAL situation, the medium used to communicate, and even our LOCATION. |
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| 43. |
The line segment has 2 end points in true or false |
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Answer» Answer: COMMUNICATION is simply the act of transferring information from one place, person or group to another. Every communication INVOLVES (at least) one SENDER, a message and a recipient. ... These include our EMOTIONS, the cultural situation, the MEDIUM used to communicate, and even our location. |
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| 44. |
(11.04 LC)A ribbon is 29 centimeters long. How many millimeters is the length of the ribbon? (2 points)Group of answer choices2.9 millimeters2,900 millimeters290 millimeters58 millimeters |
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Answer» Answer: Communication is simply the act of TRANSFERRING information from one place, person or group to ANOTHER. Every communication involves (at LEAST) one sender, a message and a RECIPIENT. ... These include our emotions, the cultural situation, the medium used to communicate, and EVEN our location. |
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| 45. |
Class 5 maths chapter 1 ajay took a loan of Rs 8,000 from the back he paid back Rs 750 every month for one year how much money did he pay back to the bank? |
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Answer» COMMUNICATION is simply the act of transferring information from one place, person or group to another. Every communication involves (at least) one sender, a message and a RECIPIENT. ... These include our emotions, the CULTURAL situation, the medium USED to communicate, and even our location. |
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| 46. |
If the size of the interior angles of a polygon are 2a, 4a, 6a, 6a, 8a & 10a. What would be the largest and smallest interior angle of the polygon, respectively? |
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Answer» Given :- If the size of the interior angles of a polygon are 2a, 4a, 6a, 6a, 8a & 10A. What would be the largest and smallest interior angle of the polygon, respectively ? Answer :- we know that ,
given that,
so, → 2a + 4a + 6a + 6a + 8a + 10a = (6 - 2) * 180° → 36a = 4 * 180° → a = 20 . then,
[ NOTE :- we can find sum of interior angles if all sides are equal , or regular polygon and in that case all interior angles will also be equal .] Learn more :- The diagram shows a WINDOW made up of a large semicircle and a rectangle The large semicircle has 4 identical section... a rectangular park is of dimensions 32/3 m ×58/5 m. TWO cross roads, each of width 2 1/2 m, run at right angles through ... |
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| 47. |
Two dice are rolled together find the probability of getting a sum greater than 2 |
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Answer» Answer: 36/36=1 as all the PROBABILITIES are GREATER than 2 |
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| 48. |
How do you write a percent as a fraction? |
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Answer» Answer: by DIVIDING it with HUNDRED and COUNTING the no of zeroes I think that is the answer but I don't know for sure please MARK me as BRAINLIEST |
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| 49. |
In the property of indices m=n ,show that a°=1 |
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Answer» Answer: 52583858₹58358353536₹6(4646939 |
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