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. |
Simplify (a^4 -a^2 -2a -1)/(a^2 - a -1) |
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Answer» Step-by-step EXPLANATION: |
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| 2. |
In the figure find the value of cos theta |
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Answer» 90° + Ø +õ = 180° õ = 90° - Ø Sin Ø = cos õ Cos õ = 4/3 |
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| 3. |
if alpha and beta are the two zeroes of th polynomial x2-5x+6, then find the value of 1/alpha2+1/beta2 |
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Answer» thank U |
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| 4. |
A cube plus b cube plus c cube - 3abc verify |
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| 5. |
TWhich of the following is a binomial -10,2 bla + b cla+b+c d a+b+c+d |
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Answer» 10;2bla is bonomial answer |
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| 6. |
√4-2√3=a+b find this answer please |
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Answer» Step-by-step EXPLANATION: √4 - 2√3 = a+b 2 - 2√3 = a+b a = 2 - 2√3 -b b = 2 - 2√3 -a or 2 - 2√3 = a+b 2 + (-2√3) = a+b a = 2 b = -2√3 HOPE THIS HELPS ^_^ |
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| 7. |
The shortest distance of the point (2, 3) from the X axis is |
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Answer: 3 units Step-by-step explanation: The SHORTEST distance between the coordinate (2,-3) and the x- AXIS, is a straight line to the point (2,0). Hence we NEED to get the distance between (2,-3) and (2,0) Formula for CALCULATING distance between 2 coordinates is: √{(x₂-x₁)+(y₁-y₂)} Distance between (2,-3) and (2,0) therefore is: √{(2-2)+(0-₋3)} √(0²+3²) = √(0+9) = √9 = 3 Therefore the distance between (2,-3) from the x-axis is 3 units. |
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| 8. |
How many numbers of two digits are divisible by 7? |
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| 9. |
Q.3aºis equal to -a) b) c)1 dafollowing is a binomial |
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Answer» Answer: C) 1 Step-by-step explanation: Any NUMBER to the power of 0 ends up wid 1. That is...n° = 1 |
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| 10. |
Ram is celebrating his 24 the bthdy today .his frnd shyam 's age was half of the age of Ram ,when Ram was at the present age of shyam 's as now .find shyams present age ?? |
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Answer» Answer: 0 Step-by-step EXPLANATION: Ram's age=24 shyam's age =1/2 of Ram=12 So, Shyam's age is 12 years smaller than Ram. now, LET rams age= 12 years There FORE, Shyam's age = 12-12=0 |
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| 11. |
Valid 12 Cube + -7 Cube + - 5 cube using suitable identity |
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| 12. |
If Sin (A + B) =root 3 / 2 and Cos (A- b)= 1,0° |
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Answer» Here is ur answer....☺☺☺☺☺ Attachment I hope it helps you PLEASE mark me as BRAINLIEST and PLZZZZZZZ follow me |
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| 13. |
Evaluate (12)3+(-7)+(-5)3 using identiy |
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Answer» (12-7-5)(12²+7²+5²+12*7-7*5+5*12) =0(12²+7²+5²+12*7-7*5+5*12) =0 |
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| 14. |
Points a and b are 100 km apart from highway if car travels in same directions with constant speed they meet in 5hours If they travel towards each other they meet in one hour . What are the speed of two cars? |
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Answer» Answer: speed of car A and B are 60 km/hr and 40 km/hr Step-by-step EXPLANATION: let the speed of two CARS is x km/hr and y km/hr distance of car A travel in same direction = speed × TIME = x × 5 = 5x distance of car B travel in same direction = 5y 5x - 5y = 100 (divide by 5) x - y = 20 ----------(1) distance of car A travel towards each other = x × 1 = x distance of car B = y x + y = 100 ---------(2) on adding eq. 1 and 2 x - y = 20 x + y = 100 .............................. 2X = 120 x = 120/2 x = 60 put x in eq. 2 x + y = 100 60 + y = 100 y = 100 - 40 y = 60
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| 15. |
What is the value of 5 in the number 50436621 |
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Answer» Answer: in INDIAN system its value will be 5 CRORE and in international it's value will be 10 million.I HOPE it will help you. |
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| 16. |
If lampa and beeta are the zeroes of a quadratic polynomial such that lampa +beeta =24 and lamps -beeta =8 find the quadratic polynomial having lamps and beeta as its zeroes verify the relationship between zeroes and coefficient of polynomial |
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Answer» polynomial EQ. is x² - 24x + 128 Step-by-step explanation: α + β = 24 ------------(1) α - β = 8 -------------(2) by using elimination METHOD on adding eq. 1 and 2 α + β = 24 α - β = 8 ............................ 2α = 32 α = 32/2 α = 16 PUT α in eq. 1 α + β = 24 16 + β = 24 β = 24 - 16 β = 8 now, polynomial eq is x² - (α + β)x + αβ = 0 x² - (16+ 8)x + 16×8 = 0 x² - 24x +128 = 0 we KNOW that , zeroes of polynomial is α and β verification of zeroes sum of zeroes = -b/a 16 + 8 = -(-24)/1 24 = 24 PRODUCT of zeroes = c/a 16 × 8 = 128/1 128 = 128
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| 17. |
Find the value of k, for which the equations (3 1 3 2 k x y + + = ) and ( ) ( ) 2 k x k y + + − = 1 2 5 has no solutions |
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Answer» Step-by-step EXPLANATION: FIRST you have to FIND the K value then you should have to do you know about TWO equal equal to the formula of nosolutions |
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| 18. |
Find the median of 31 38 27 28 36 25 35 40 |
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Answer» N=8 N/2=8/2=4 observation N/2+1=4+1=5 observation 28+36/2=64/2 =32 32 is the median |
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| 19. |
Write five rational numbers which are smaller tha -7 |
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Answer» -7=-7/1 Because RATIONAL NUMBERS can be REPRESENT as p/q. Rational numbers SMALLER than -7/1 are : -8/1, -9/1, -10/1, -11/1, -12/1. |
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| 20. |
Find the value of a2019 from the a.p. 4, 9 ,14,19, |
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Answer» Answer: 10094 Step-by-step EXPLANATION: a=4 and d=5 ,n=2019
=a+2018d =4+10099 =10094 |
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| 21. |
Find the possible number of digits in the following numbersa8 b65 c125 d1060 |
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| 22. |
Three unbiased coins are tossed what is the probability of getting at most two heads |
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| 23. |
When the object is at infinity and c in convex mirror? |
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Answer» Answer: |
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| 24. |
The first term of an AP is 5, the last term is 45 and the sum is 400, then the fourth term of an AP is |
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| 25. |
0.2 t square + 0.3 90 equal 0.02 solve it's urgent please |
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Answer» Answer: 0.2t²+0.390= 0.02 0.2t²= 0.020-0.390 t²= -0.37/0.2 t= -√0.175 |
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| 27. |
HOW to score good marks in maths in boards exams |
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Answer» the key is PRACTICE PRACTICE PRACTICE sample papers ..... and THOROUGHLY follow ncert best GUIDE === rd sharma follow me ✔ |
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| 29. |
(d) an integer smaller than only one of the integers |
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Answer» Step-by-step explanation: sum of the integers is SMALLER than both the integers. This means both the integers are in negative FORM .... Example:-7 and-3 -7+(-3)= -7-3=-10 |
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| 30. |
2/3-(4/5-5/6)=not(2/3-4/5)-5/6 prove it |
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| 31. |
The ratio 1:4 converted to percent is -b)25% c)75% d)40% |
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Answer» is the CORRECT answer |
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| 32. |
15. The simple interest accurued in 4 year on principalis 4/5 the principal. What is the rate ofinterest? |
| Answer» GUEST I've KIND ARCH NFC | |
| 33. |
If LCM and HCF are 216 and 20 and one number is 40 find the other number |
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Answer» Answer: 40 and 108 Step-by-step EXPLANATION: |
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| 34. |
Find the LCM of 36, 60, 72 |
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Answer» Step-by-step EXPLANATION: hope it helps... |
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| 35. |
Write the following rational number in decimal form 2/13 |
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Answer» 2/13= 0.153846 BAR 0.153846 |
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| 36. |
1The multiple inversea) b)-1 c)2d)0 |
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Answer» a) -1=-1/1 b) 2=1/2 c) 0 has no MULTIPLICATIVE INVERSE |
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| 37. |
Prove it . 2/3+(-4/5-5/6) =not (2/3-4/5)-5/6 |
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Answer» Proof : L. H. S :2/3+(-4/5-5/6) =2/3+(-49/30) =(20-49)/30 =-29/30 R. H. S :(2/3-4/5)-5/6 =(10-12)/15-5/6 =-2/15-5/6 =(-4-20)/30 =-24/30 L. H. S not equal to R.H.S. (proved) |
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| 38. |
If tan⁴∅+tan²∅ =1 so,prove that, cos⁴+cos²=1. |
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Answer» Here is your answer. Please MARK as BRAINLIEST. |
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| 39. |
6. Sum of first 55 terms in an A.P. is 3300, find its 28th term. |
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| 40. |
Factorise x2+9x+18 by splitting middle term |
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Answer» X²+3X×6X+18 X(X+3)+6(X+3) (X+3) (X+6) X=-3, -6 |
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| 41. |
Hey Guys____£➡❤❤PLS ANSWER THIS ONE__#➡✔..A shopkeeper buys a number of books for rupees 1200. If he had bought 10 more books for the same amount, each book would have cost 20 rupees less. How many books did he buy?NO SPAM➡❌❌FOLLOW ME ➡➡➡❤❤ |
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Answer» Answer: let the shopkeeper bought x NUMBER of books for Rs.1200 price for each book = 1200/x If he had bought 10 more books for the same AMOUNT each book would have cost Rs 20 less it means the cost of each books is DECREASED by 20 if he had bought 10 more books I.e. ATQ 1200/x - 1200/x + 10 = 20 1200(1/x - 1/(x+10) = 20 1/x - 1/x+10 = 20/1200 (x+10) - x /x(x+10) = 1/60 x+10 -x = x² + 10x / 60 600 = x² + 10x x² + 10x - 600 = 0 Here quadratic equation formed ... x² + 10x - 600 = 0 x² + 30x - 20x - 600 = 0 x(x+30) -20(x+30) = 0 (x+30) (x-20) = 0 either (x+30) =0 or (x-20) = 0 x = -30 or x = 20 x = -30 X not possible because the number of books cant be negative so number of books = x = 20 I'll have another method in an attachment |
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| 42. |
9) Find8-6 +(-2)+(-3) - (-11) |
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Answer» Answer: Step-by-step explanation: 8 - 6 =2 2+(-2) = 0 0+(-3) = -3 -3 - (-11) = 8 |
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| 43. |
The length of a line segment AB is 2/3 of the length of segment CD. The length of another line segment EF is 3/8 of the length of the line segment AB. What fraction of the length of EF? CD=4 cm then find the length of EF. |
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Answer» The length of a LINE segment AB is 2/3 of the length of the line segment CD.the length of another line segment EF is 3/8 of the length of the line segment AB.what FRACTION of the length of CD is equal to the length of EF? if CD=4cm then FIND the length of EF. |
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| 44. |
For the value of m the pair of linear equations mx=2y, 2x-y=5=0 has unique solution |
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Answer» Here is only ONE LINEAR EQUATION!! Where's the other one???? |
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| 45. |
The sum of all the angles of a quadrilateral is |
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Answer» Step-by-step EXPLANATION: → The SUM of all the ANGLES of a QUADRILATERAL is 360° . |
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| 46. |
With actual division prove that 2x^4 -6x^3 +3x^2 -2 is exactly divisible by x^2 -3x +2 |
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Answer» Step-by-step EXPLANATION: SOLUTION in ATTACHMENT !!!! |
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| 47. |
Find out the properties that hold for rational numbers also hold for integerwith a one example |
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Answer» Any PROPERTY which is true for RATIONAL numbers, is ALSO true for integers except for any integers ‘a’ and ‘B’ (a ÷ b) is not necessarily an integer. Step-by-step explanation: |
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| 48. |
How we can simplify 12 to the power -1/5 ? |
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Answer» -1^12/5^12 1/12×12×12×12×12=? |
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| 49. |
Under what operations are the set of integers closed |
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Answer» This set is closed only under ADDITION, SUBTRACTION, and multiplication Step-by-step EXPLANATION: |
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| 50. |
in the following using remainder theorm find wheather f(x) is divided by g(x) and verify the result by long division method f(x) = 2x^4 -6x^3 +2x^2 -x +2 , g(x) = x+2 |
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