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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. |
14.If y=e'sin x, show that2 e cos x. |
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| 2. |
log2 (x + 5) + log2 (x-2) = 3 |
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| 3. |
\operatorname { log } _ { 3 } \operatorname { log } _ { 2 } \operatorname { log } _ { \sqrt { 3 } } 81 \text { is- a } ) 1 , b ) 2 , c ) 4 , d ) 0 |
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| 4. |
7 \operatorname { log } ( \frac { 16 } { 15 } ) + 5 \operatorname { log } ( \frac { 25 } { 24 } ) + 3 \operatorname { log } ( \frac { 81 } { 80 } ) \pi \pi |
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| 5. |
log(3, 81) |
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Answer» 1/4 is the correct answer. 1/4 is the correct answer. 1/4 is the correct answer |
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| 6. |
I. Determine the value of the following.(0) log,5(ii) log, 381 |
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Answer» PLEASE LIKE IT, IF YOU FIND THE ANSWER HELPFUL. |
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| 7. |
The value of log2log2 log2 16 is equal to |
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| 8. |
log-2log-16910 43log 2+ log43 =log22 |
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| 9. |
A 7m long flagstaff is fixed on the top of a tower standing on the horizontal plane.From a point on the ground, the angle of elevation of the top and bottom of theflagstaff are 60° and 45° respectively. Determine the height of the tower. |
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| 10. |
this equation :log2 (x +5) log2 r 2)-3 |
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| 11. |
12016. Find the value of log2 32 + log2 1048 -log, 64 |
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| 12. |
Ivathematics1. In an AP if a = 1, S2 = 64 and an = 15. Then the value of na) 8B) 7D) 46 |
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Answer» option d is the best answer (c) 6 is the correct answer an= 15let difference =da+(n-1)d= 15----(1)sn= 64n/2{2a+(n-1)d}=64n{a+a+(n-1)d}=128n{1+15)=128since a+(n-1)d=1516n=128n= 128/16=8 option (A) is the correct answer option (a) is the correct one Option ( c = 6) is the right answer is the a = 1, s= 64, an = 15,64 = n/2(a+an)64 = n/2(1+15)64 = n/2(16)128= 16nn = 128/16n = 8so, option (a) is correct. (d) option is correct |
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| 13. |
DOlog 8 log + का मान है-(a) 6 log2 (b) log2 (c)(d)-1121 |
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Answer» d is the correct answer........ |
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| 14. |
x3Given the series sinx =x-+Show that the expansion of cosx can beobtained by-term by term differentiation |
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| 15. |
2.Find absolute value of |
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Answer» a) -7/9 b)-175/64. c)-1/2 the answer could be option b |
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| 16. |
-2/29x3 227"16.Ifand m1 + n = 5, find the values of m and n.=ーーーーーーーーーーーーーーー_(3#x2),729 |
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| 17. |
T ON FINDING TTILIf x =-5 + 2F4, find the value of x4 + 9x3 + 35x2-x + 4. |
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| 18. |
e) log 813 |
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| 19. |
The real numbersatisfies the inequality-V8+o3+/5(d) 2<r <2 |
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| 20. |
15.Find the value of log2 16-log 81 + log; 120log: 120625 |
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| 21. |
\frac { \log _ { 2 } 81 } { \log _ { 2 } 9 } |
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| 22. |
\frac{\log _{16} 64}{\log _{243} 81} |
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| 23. |
Find all zeroes of the polynomial (2x4- 9x3+5x2+3x - 1) if two of its zeroes are (2+3) and (2-3 |
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| 24. |
Find the real value of 'x' satisfying the equation x0Sl |
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| 25. |
51. If x = 5 + 2/6 , then the valu |
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Answer» Let : x = 5 + 2√6. Then : x = 3 + 2 + 2√((3)(2)) ∴ x = (√3)² + (√2)² + 2(√3)(√2) = (√3 + √2)² ∴ √x = √3 + √2 ............................. (1) ∴ 1/(√x) = 1/(√3 + √2) = √3 - √2 ......... (2) ∴ (√x) + (1/√x) = 2√3 |
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| 26. |
EXERCISEFind absolute valu(a) I-141(e) 1721(1) 1571 |
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Answer» a. 14b. 72c. 57 is the correct answer. a. 14B. 72 c. 57is the correct answer |
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| 27. |
6. Simplify the inequality44A. x< 3C. x> 1B. x< 1D. x+ 3 |
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| 28. |
Solution of inequality | x + 3| > | 2x-1 | is :(a),4(c) 2,13.2(d) none of these3 |
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Answer» |x + 3| > |2x - 1| |-x| > |-4| x > 4 x € (4, infinity) (b) is correct option |
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| 29. |
\begin{array} { l } { \text { Solve the inequality } } \\ { \frac { 2 x - 1 } { 3 } \geq \frac { 3 x - 2 } { 4 } - \frac { 2 - x } { 5 } } \end{array} |
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| 30. |
solid between A and B has the following arrana Atoms A are arranged in c.c.p. arrayAtoms B occupy all the octahedral voids andlarWhat is the formula of the compound? |
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Answer» A= 4B= 4+4=8ratio- A:B4:8=1:2formula =AB2 |
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| 31. |
( i i i ) \frac { \sqrt { 18 } } { \sqrt { 32 } } , \frac { \sqrt { 50 } } { \sqrt { 72 } } |
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| 32. |
_ { 4 } \operatorname { log } _ { 4 } \operatorname { log } _ { 4 } 256 |
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Answer» If log4. means log to base 4 then: log4.256=4 (because 256=4^4) log4.(log4.256)=log4.4=1 log4.(log4.(log4.256))=log4.1=0 |
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| 33. |
4. The value of log3 e - logge + log 27 e-log 81 e +...co, is(a) log2 3 (b) log3 2 (c) log10 e (d) loge 2 |
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| 34. |
Evaluate each of the(a) log3 81 |
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Answer» right |
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| 35. |
) Express 2 log3-logl6 + log12 as a single loganiOR) |
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| 36. |
Find the number which when added to 969473,the sum is completely divisible by 6. |
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Answer» 1is when added to 969473 the sum is completely divisible by 6 969473+1 this sum is completely divisible by 6 1615078 __________6)969473 - 6 __________ 36 - 36 __________ 009 - 6 _________ 0034 - 30 _________ 0004 - 0 _________ 00047 -. 42 _________ 000053 54 ___________ -1 hence to get remainder 0/to divisible completely we need to add 1 969473+1=969474/6=161579 |
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| 37. |
How many number are there from300 to 650 which are completelydivisible by both 5 and 7? |
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Answer» The least common multiple of 7 and 5 is 35. Therefore the numbers that you want are the multiples of 35 between 300 and 650. We divide 300 by 35 and, rounding up get 9; this tells us that 35*9 is the first multiple fo 35 after 300. Dividing 35 into 650 and then rounding down (since we don’t want to have any multiples higher than 650) gives 18. So the multiples of 35 in the range of 300 to 650 are 35*9, 35*10, and so on until 35*18. So, 18–9 + 1 (the +1 is to include the last number) gives us 10 numbers. |
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| 38. |
तब-sec B+ tan 872. यदि sec B =४+का मान है :4x |
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Answer» Let beta = A Given:secA = x + 1/4x As, 1 + tan^2A = sec^2Atan^2A = sec^2A – 1 Therefore, tan^2A = (x + 1/4x)^2 -1= x^2 + 2*x*1/4x + 1/16x^2 – 1= x^2 + 1/2 + 1/16x2 – 1= x^2 + 1/16x^2 – 1/2= (x – 1/4x)^2 So, tan A = (x – 1/4x) or tan A = - (x – 1/4x) Substitute the value of secA and tanA in the given equation secA + tanA For (tan A = (x - 1/4x)) secA + tanA= x + 1/4x + x – 1/4x= 2x For (tan A = - (x - 1/4x)) secA + tanA= x + 1/4x - x + 1/4x= 2/4x= 1/2x |
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| 39. |
उदाहरण 26: क्रैमर नियम का प्रयोग करके हल करो-3x+5y-72 =134x + y-12z = 62.+9y-32 = 20 |
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Answer» 0 is the right answer of the X=1Y=2Z=0is your correct answer x =1y=2or z=0 aayaga X=1Y=2Z=0Is a correct answer x= 1 , y= 2 ,z= 0 is the correct answer of the given question x=1. , y=2 , z=0 ,. is the correct answer |
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| 40. |
define producers |
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Answer» Producers are organisms that make their own food; they are also known as autotrophs. They get energy from chemicals or the sun, and with the help of water, convert that energy into useable energy in the form of sugar, or food. The mostcommonexample of a producer are plants |
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| 41. |
-8)|| What must be subtracted from 824 +1492 -257 +72-8so that the resulting polynomial is exactly divisible| by 4x² +31-2 |
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| 42. |
10%. If the selling pike oraanA man sok1 rwo artx les at Rs 25920 each. These were sold at 8% gan aid 4% loss respectrvelyFind the gain or loss percent in the whole transaction.3. |
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Answer» Cp for 1st article = 25920 ×100/100 +8 = 24000 Cp for 2nd article = 25920×100/100-4 = 27000 Profit in first article = 25920-24000 = 1920 Loss in second article = 27000-25920 = 1080 P%= (1920-1080/24000+27000)×100 = 840/51000×100 = 1.64% |
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| 43. |
THREE Soid metallic spheitol bals |
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Answer» RADIUS OF NEW SPHERE= CUBE ROOT OF (R13+R23+R33) = CUBE ROOT OF(27+64+125) = CUBE ROOT OF 216 = 6 CM IS THE RADIUS OF THE NEW SPHERE |
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| 44. |
henc BalsIf the cost price of 14 apples is the same as the selling price of 12 apples, tind the ganloss percent. |
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Answer» If you find this solution helpful, Please give it a 👍 how |
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| 45. |
bals ublack balls bhe ballo oreRedor blockNot uwhidoNi e the twhi te ar block |
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| 46. |
Detection |
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Answer» Ans :- In general, detection is the action of accessing information without specific cooperation from or synchronization with the sender. PLEASE LIKE AND SHARE THIS APP |
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| 47. |
1. Ritu borrowed some money at 12% per annum. She had to pay Rs 180 as interest after 3 years what sumdid she borrow? |
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| 48. |
a Haidar Ali and Tipu sultan were the rulers of aaub) James mill divided his book into |
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Answer» 1.Tipu Sultan(bornSultanFatehAliSahabTipu, 20 November 1750 – 4 May 1799), also known as theTipusahabwasarulerof the Kingdom of Mysore. James Mill, a Scottish economist and a political philosopher, published AHistory of British Indiain three volumes |
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| 49. |
Think and write:1)How many Re 1 notes are there in Rs 2? |
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Answer» 2 notes of Re 1......... |
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| 50. |
Directions (Q. Nos. 41 to 80) Which of these words is mostnearly the opposite of the word provided?41. Detairn(a) Release(c) Forget(b) Silence(d) Prosper |
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Answer» (a) Release Explanation:Detain means to keep someone in official custody. So, the antonym is release. |
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