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. |
Factorise x3-3x2-9x+5 |
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Answer» Step-by-step explanation: X(x^2-3x-9)+5 (X+5)(x^2-3x-9) Now SOLVING (x^2-3x-9) by SHRIDHAR ACHARYA method D = 9 - 4.1.-9 D= 9+36 D= 45 Now, X=3+root45/2 or 3-root45/2 Thus FACTORS are = 5, 3+root45/2, 3-root45/2 |
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| 2. |
If 5 is a zero of x^3-4x^2Please help me fast |
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Answer» Step-by-step EXPLANATION: = 5^3 - 4*5^2= 125-100= 25 |
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| 3. |
If 5 pencils and 3 erasers cost $8.25, whereas 3 pens and 1 erase cost $4.35. What is cost of a pen and an eraser. |
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Answer» Step-by-step EXPLANATION: PLZ ASK this question at 10 am then I will give you the ANSWER |
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| 4. |
The area of a square is three times the area of a rectangle. The length of the rectangle is 5 cms more than (5)^2 which is three times its breadth What is the perimeter of the square ? |
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Answer» Step-by-step explanation: BREADTH = x Then Length = 3 times of breadth. lenght = 3x Given that The perimeter of the RECTANGLE =AREA of square = 625 perimeter of rectangle =2 (l+b) 625=2 (3x+x) 625/2=4x 625/2×4 = x 78.125 = x Hence, Area of rectangle = length × breadth Area of rectangle = 3X × x Area of rectangle = 3×78.125 × 78.625 Area of rectangle =18427.7 cm^2 |
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| 5. |
Think any number between 0 to 69 and add 5 in it after that multiply by 9 to it substract 1 from it close your eyes its dark isnt it |
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Answer» no..... Step-by-step EXPLANATION: NUMBER is 10 10+5=15 15×9=135 135-1=134 |
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| 6. |
1.Four cards are drawn at random from a pack of52 cards. The probability of getting all the fourcards of the same number, is :11 106(a)(b)*(0) 5419(a) 270125 |
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Answer» Answer: 270125 Step-by-step explanation: TOTAL No. Of cards =52 No.Of cards for each suit = 13 Total types Of French suit = 4(hearts,spades, diamonds,clubs) Prob. = Conditional case /total case For this conditional case of SELECTING all FOUR same suit,it can be either hearts or spades or clubs or diamonds So Total no. Of conditional case= no. of case of selecting all four cards of hearts suit +no.of case of selecting all four cards of spades suit +no.of case of selecting all four cards of clubs suit + no. of case of selecting all four cards of diamonds suit. = 13C4+13C4+13C4+ 13C4 =4*(13C4)=2860 Total no. of case= 52C4=270725 So, probability of GETTING all four cards of the same suit=2860/270725 |
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| 7. |
134. One year ago, a man was 8 timesas old as his son. Now his age isequal to the square of his son's age.Find their present ages. |
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Answer» Answer: Step-by-step explanation: let age of son one yr ago be X age of man one yr ago be 8x ..... age of son after one year = x+1 age of man after one year = 8x+1 .... now accordind to question.. 8x+1= (x+1)^2 8x+1=x^2 + 1 +2x after solving 8x = x^2 +2x now...x^2 - 6x=0 solving this we get ...x=0 and x = 6 but age CANT be zero...so..x=6... age of son is x+1 = 7 years and age of man be 8x+1= 49...ANS.. |
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| 8. |
The verticle angle of a isosceles triangle is 400 then measure of other two angle will be |
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Answer» Answer: We know that an isosceles triangle has two sides of the same length and ONE side of different length. The sum of the measures of the ANGLES of the triangle is 180°. We know the vertical angle of the triangle i.e., 100°. Let the base angles be X and x since they have the same value. So we get, x+x+100=180° (by condition) 2x+100=180° 2x= 180-100 2x=80 x=80/2 x=40° So the measure of both the base angles are x i.e., 40°. ____________________________________________________________________________________ Hope it helps you... : ) |
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| 9. |
| 131. A stone is thrown vertically down-wards and the formula d = 16t ^2+4t gives the distance, d metres,that it falls in t seconds. How longdoes it take to fall 420 metres ? |
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Answer» Answer: Step-by-step explanation: 420 = 16t^2+4t 16t^2+4t-420=0 4(4t^2+t-105)=0 4t^2+t-105=0 (4t+21)(t-5)=0 t = 5 & t = -5.25 |
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| 10. |
Find the power ???????? |
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Answer» ★See this ATTACHMENT.... |
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| 11. |
Factorize 343+125b³ |
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Answer» Step-by-step EXPLANATION: BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST |
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| 12. |
The average of two digits number,which remain tha same when tha digits interchnge their position,is |
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Answer» Answer: 55 STEP by step EXPLANATION: REQUIRED average = (11+22+33+....+99)/9 = 112754/9 = 11(1+2+3+.....+9)/9 = (11×45)/ = 55 |
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| 13. |
If x²-22x+111 = 0, then what is the value of(x-8)²-1/(×-8)²= ? |
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Answer» Answer: 38 Step-by-step EXPLANATION: I THINK you WANTED (x-8)²+1/(x-8)² and not (x-8)²-1/(x-8)². |
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| 14. |
Two men start from Point P and Q42 km apart. One walk at 4km/h and meets the other goingon the opp. direction After 6 hrs find the speed of second men |
Answer» HEYA mateur answer is in attachmenthope it HELPS |
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| 15. |
Solve ir please !!!!!!!!! |
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Answer» ★See this ATTACHMENT.... |
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| 16. |
What should be added to x²-8x+10 to make it divisible be x-3? |
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Answer» Answer: Step-by-step explanation: if we divide POLYNOMIAL by x-3 then remainder is 43.. |
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| 17. |
127. A man bought an article for x andsold it for 16. If his loss was x per-cent, find the cost price of the ar-ticle. |
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Answer» Answer: Step-by-step explanation: S.P. of the article = Rs 16 Loss = Rs (x − 16)
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| 18. |
Solve for a and b help me to deal with it |
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Answer» Step-by-step EXPLANATION: BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST |
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| 19. |
If seven times a number is divided by 5 it gives 5 subtracted from a number |
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Answer» CONSIDER NO AS X 7X DIDIDE BY 5 7x/5=y-5 |
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| 20. |
two numbers are in the ratio of 5:6. If X is subtracted from each of the numbers the ratio becomes 4:5. Find the number |
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Answer» Answer: Step-by-step EXPLANATION: Let the 1ST no. be =x 2nd = y x/y = 5/6 Let x=5k nd y=6k. (K is constant) 2nd CASE. When 7 is subtracted x-7/y-7 = 4/5 5k-7/6k-7 = 4/5 5k-7(5) / 6k-7(4) = 0 25k-35= 24k-28 K= 7 No. are 5k ie 5*7=35 6k ie 6×7=42 Hope HELPS you:)! |
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| 22. |
Solve 0.5- 0.2x ÷ x = 3.8 |
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Answer» Step-by-step explanation: 0.5x-0.2x = 3.8x 0 = 3.5x x = 1/3.5 |
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| 23. |
(x-3) is a factor of (xcube+xsquare-17x+15) |
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Answer» Step-by-step EXPLANATION: X = 3 puuting it in equation 3³+3²-17*3+15 = 0 so, x-3 is FACTOR |
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| 24. |
9 men can complete a job in 15 days if a man works thrice as fast as a woman find the number of days taken by 15 women to complete the job |
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Answer» Step-by-step explanation: 9 men = 15DAYS rate: 1 men = 3 women so, 1 women = 135 *3 = 405 days.. so, 15 women = 405/15 = 27 days |
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| 25. |
Hola mate!Representation of irrational no. √2 ,√5,√8 on number line. |
Answer» ANSWER:HEYA MATEUR Answer is in attachment.hope it HELPS you |
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| 26. |
Log (x-3) + log (x + 1) = log 3 + log (x-1) Por favor .... please |
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Answer» Answer: log_10(x+3)+log_10(x)=1->log_10((x+3)(x))=1->log_10x^2+3x=1->10^1=x^2+3x 0=x^2+3x-10->0=(x+5)(x-2)->x=-5,x=2 Step-by-step EXPLANATION: Use the property of LOGARITHM for log of a product is the SUM of the logs to change the sum to a product. Then use the definition to change from logarithmic FORM to exponential form then solve for x. |
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| 27. |
Prove that the product of three consecutive positiveintegers is divisible by 6 |
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Answer» Answer: 2×3×4=24 24/6=4 |
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| 29. |
Draw the graph of the equation x-y=1 and 2x+y=8.Shade the area bounded by these two lines with the y axis and find the area of of that shaded area. |
Answer» HEYA mateUR answer is in the attachment .HOPE it HELPS you |
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| 30. |
Use the given digit without reception and make the greatest and smallest 4 digit number a 2,8,7,4 |
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Answer» Step-by-step EXPLANATION: GREATEST = 8742 smallest = 2478 |
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| 31. |
79*(-99)+(-79) with suitable property |
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Answer» - 7900 Step-by-step EXPLANATION: -7821 + (-79) - 7821 - 79
-7900 |
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| 32. |
Examine whether the following numbers are rational or irrational 3 8 root÷2root |
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Answer» And when divided by root 2 gives 2 as answer |
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| 33. |
The sum of two integers is -37 if one of them is -14 so find the another. |
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Answer» The SUM of two integers=-37 the first integer=-14 let the 2ND integer be=x x-14=-37 x=-37+14 x=-23 let verify 1st no=-23 2nd no=-14 -23-14=-37 THANKS ME MARK AS BRAINLIEST ANSWER FOLLOWING ME BYEEEEEEEE |
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| 34. |
Find the lcm and hcf of 408 and 170 by applying the fundamental theorem of arithmetic |
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Answer» Answer: The LCM (408,170) is 38760.The HCF(408,170)is 4.Step-by-step EXPLANATION: HiiPlease MAKE me brain list. |
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| 35. |
A car travels 348 km in 4 hours. How long will it take to travel 783 km? |
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Answer» Step-by-step explanation: DISTANCE TRAVEL in 1 hr = 348/4 = 87 km time = distance/ SPEED = 783/87 = 9 hours |
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| 36. |
Differentiate Y is equal to 3 raise to power 2 X + 2 raise to power 3 x |
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Answer» Step-by-step EXPLANATION: BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST |
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| 37. |
Find the lenght of a rectangular field 78 metre broad if the area of a field is 391 metre square |
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Answer» Answer: 5.01 Step-by-step EXPLANATION: and l*78=391 therefore, l=391/78 =5.01 |
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| 38. |
MANGALDEEPSafety Matchesif Scoso +12 sino =stoso A sino ta)A=) 13 |
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| 39. |
Dy/dx of y=(cot^-1(x^3))^2 |
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Answer» Step-by-step EXPLANATION: BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST |
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| 40. |
If 5 cos theta + 12 sin theta = A sin (theta+alpha |
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Answer» Answer: CLARIFYING CHRISTCHURCH V high to KAI |
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| 41. |
Log (x-3) + log (x+1)= log 3 + log (x-1)Please.. |
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Answer» Step-by-step EXPLANATION: BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST |
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| 42. |
If log4 (x + 1) + logų (X + 8) =(1) 0(2) 9. then value(s) of x is (are(3) -9 |
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| 43. |
4root3+5root2/root48+root18 |
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Answer» To rationalise the denominator of \frac{4 \sqrt{3} + 5 \sqrt{2} }{ \sqrt{48} + \sqrt{18} } It can be written as \frac{4 \sqrt{3} + 5 \sqrt{2} }{4 \sqrt{3} - 3 \sqrt{2} } \\ \\ \frac{4 \sqrt{3} + 5 \sqrt{2} }{4 \sqrt{3} - 3 \sqrt{2} } \times \frac{4 \sqrt{3} + 3 \sqrt{2} }{4 \sqrt{3} + 3 \sqrt{2} } \\ \\ \frac{4 \sqrt{3} (4 \sqrt{3} + 3 \sqrt{2}) + 5 \sqrt{2} (4 \sqrt{3} + 3 \sqrt{2}) }{(4 \sqrt{3} ) {}^{2} - (3 \sqrt{2}) {}^{2} } \\ \\ \frac{48 + 12 \sqrt{6} + 20 \sqrt{6} + 30}{48 - 18} \\ \\ \frac{78 + 32 \sqrt{6} }{30} \\ \\ \frac{ \cancel{2 \: }\:(39 + 16 \sqrt{6} )}{ \cancel{30} \: \: {}^{15} } \\ \\ \boxed{ \BOLD{ \frac{39 + 16 \sqrt{6} }{15} }} : |
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| 44. |
Sums in congruence of triangle |
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Answer» Answer: is 180 degree Step-by-step EXPLANATION: because the sum of ANGLE is 180 degree |
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| 45. |
How to prove that root 3 minus root 7 is irrational? |
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Answer» Answer: As we KNOW that both root 3 and root 7 are IRRATIONAL therefore sum or DIFFERENCE of two irrational NUMBERS is always irrational HOPE THIS HELPS YOU |
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| 46. |
Find the rationalising factors 6√3 |
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Answer» √3 Step-by-step explanation: 6√3 is having so many R.F's but the SIMPLEST R.F is √3 6√3 X √3 = 6x3 = 18 6√3x 2√3= 12X 3 = 36.... ,.................... |
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| 47. |
A coin is tossed It cab land head or tail the chance of landing head is 1/2 how |
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Answer» it is a a POSSIBILITY RIGHT??? |
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| 48. |
Using euclid`s algorithm ,find tha hcf of 405 and 2520 , 504 and 1188 |
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Answer» (1)2520=405×6+90 405=90×4+45 90=45×2+0 so hcf = 45 (2)1188=504×2+180 504=180×2+144 180=144×1+36 144=36×4+0 hcf = 36 PLEASE MARK MY ANSWER AS BRAINLIST |
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| 49. |
Rationalize 4√3+5√2/√48+√48 |
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Answer»
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| 50. |
The mean of 8 observations was found to be 20. Later it was detected that one of the observations wasmisread as 62. What is the correct observation, if the correct mean is 15.5 ? |
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Answer» Answer: |
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