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. |
Is rational or irrational |
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| 2. |
What are significant figures |
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Answer» Answer: Significant FIGURES are basically the digits of NUMBER that apply SUBSTANTIAL value for its measurement. Some rules for significant figures: - leading zeros are insignificant; -all non-zero numbers are significant; -TRAILING zeros to the RIGHT of the decimal are significant. |
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| 3. |
How many significant digits are there in the number 5.0500?A. 3 B. 4 C. 5 D. 6 |
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Answer» A, 3............................................. |
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| 4. |
The length of the minute hand is 200% of the length of the hour hand.In 1 hour, how much farther does the tip of the minute hand move than the tip of the hour hand? Round your answer to the nearest hundredth |
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Answer» Step-by-step explanation: since lengh of MINUTE hand is 200% of hour hand therefore ratios of LENGTH between. hour hand and minute hand= 1 : 2 lengh of hh= 20mm length of mh= 40 mm distance covered by hour hand in 1 hour (since time TAKEN to complete one round by hour hand is 12 HOURS.) = 2×pi× length/ time taken for complete 1 round = 2× 20×pi/12=10pi/ 3 ( say it is X)
X=. 10pi/3....................(1) similarly if length of minute hand be 2 unit then distance covered by it in 1 hour (since time taken to complete one round by minute hand= 1 hour) = 2×pi×40/ 1 = 80pi unit ( say it is Y) Y = 80pi ......................(2) Therefore difference of distances covered by these two hands = ( 80pi -10 pi/3) =. (22/7)(80-10/3) = 22×230/21 = 240.95 mm since minute hand is 20 minute before than the hour hand according as the figure given. => difference between these two hands. = 1- 20/60 of 240.95 2/3 of 240.95 = 160.63 mm hence tip of minute hand will be 160.63 mm ahead from hour hand after one hour. |
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| 5. |
2x^2+2x+1=0........ |
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Answer» Step-by-step EXPLANATION: |
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| 6. |
A rug is 10ft long and 8ft wide. What is the perimeter of the rug? |
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Answer» Answer: 36ft Step-by-step EXPLANATION: |
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| 7. |
Which is bigger 0.86 or 0.140 |
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Answer» 0.86 is bigger MARK IT AS BRAINLIEST N FOLLOW ME.... |
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| 8. |
2x^2+2x+1=0....................... |
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Answer» Step-by-step EXPLANATION: |
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| 9. |
A rectangle is 10 times as long as it is wide. Its perimeter is 88 cm. What are the dimensions (width and length) of the rectangle? |
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Answer» Answer: 40 cm ; 4 cm. Step-by-step EXPLANATION: LET the width of the rectangle be a. So, as length is 10 times of the width it should be 10 times of a, length of the rectangle is 10A. Here, PERIMETER = 88 cm 2( length + width ) = 88 cm length + width = 44 cm 10a + a = 44 cm 11a = 44 cm a = 4 cm Thus, Width of the rectangle is 4 cm and length is 10a or 10( 4 cm ) or 40 cm. |
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| 10. |
If three dice are thrown simultaneously, find the probability of getting a sum ofat least 5 |
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Answer» Three dice thrown total events would be 6 X 6 X 6 = 216 Number of events of getting a total of 5 = 6 i.e. (1, 1, 3), (1, 3, 1), (3, 1, 1), (2, 2, 1), (2, 1, 2) and (1, 2, 2) Therefore, PROBABILITY of getting a total of 5 Number of FAVORABLE outcomes P(E1) = Total number of possible outcome = 6/216 = 1/36 |
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| 11. |
The length and width of a rectangle are 7 cm and (x - 8) cm respectively. Find the value of x if the area of the rectangle is 42 cm2. |
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| 12. |
Find out the sum of 4.075, 2.09, and 0.075 using the correct number of significant digits.A. 6.2 B. 6.24 C. 6.165 D. 6.245 |
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Answer» ☯ AnSwEr : As, we have to find the SUM of 4.075, 2.09 and 0.075, Using significant digits. So, ★ Number of significant digits in 4.075 = 4 ★ Number of significant digits in 2.09 = 3 ★ Number of significant digits in 0.075 = 4 Now, we will calculate their sum. → Sum = 6.24 So, OPTION B is correct.★ Additional Information : ☯ Uncertaininty in measurmentWhen true value is not equal to experimemtal calculations then there os uncertainty in measurment. ↪ For EXAMPLE 2g of Molecules = 602,200,000,000,000,000,000,000 But if we write (602,200,000,000,000,000,000,000) as 6.022 × 10²² then our uncertainty in MEASUREMENT can reduce. Now, Mass of H atom. 0.00000000000000000000000166 But if we write (0.00000000000000000000000166) as 6.61 then our uncertainty in measurement can reduce. → Meaningful to present the data, realisitiolly accurating with uncertainity. ★ There are three ways to reduce the uncertainty in measurement. (i) Scientific Notation (ii) Significant figures (iii)Dimensional analysis |
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| 13. |
Can someone please answer this correctly (ace/genius) only and i will mark as brainliest+25 points |
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Answer» Answer: 41 minute. Step-by-step explanation: Time( minutes ) TAKEN in doing HOMEWORK : 90 minute Time taken in reading : ( 2 / 3 ) hour ⇒ ( 2 / 3 ) X 60 min { 1 hr = 60 min } ⇒ 2 x 20 min ⇒ 40 minute Time taken in making lunch : 540 sec ⇒ 540 / 60 min { 1 sec = 1 / 60 min } ⇒ 9 min Time taken in making lunch and reading = 40 min + 9 min = 49 min. we are said to find the time taken more than doing these LAST two WORKS in comparison to the first one. ⇒ 90 min - 49 min ⇒ 41 min
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| 14. |
Find the maximum sum of two positive numbers (not necessarily integers), each of which is in [0,700] whose product is 250. |
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Answer» Answer: 250 and 1 Step-by-step explanation: 250*1 = 250 |
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| 15. |
Parallelogram DEFG has been rotated.2 parallelograms are shown. Both parallelograms have identical side lengths and angles, but the second has been rotated 90 degrees to the right.Which statements are correct? Check all that apply.point F → point F'parallelogram DEFG → parallelogram G'F'E'D'Point D of the pre-image corresponds to point D' of the image.ED of the pre-image corresponds to G'F' of the image.Parallelogram DEFG maps to parallelogram D'E'F'G'. |
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| 17. |
How many significant digits are there in the number 5.5x 10 to the third power A. 2 B. 3 C. 4 D. 5 |
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Answer» Your answer is 3 |
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| 18. |
Find the minimum sum of two positive numbers (not necessarily integers) whose product is 150. |
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Answer» Answer: Step-by-step explanation: Let 1 number be x and the other number be y Then x+y = 300 y = 300-x Now we KNOW that the first differentiation of maxima and minima is equal to 0 So dy/dx = 0 Here y = The product of the TWO numbers ie x(300-x) as we are given that the product of the 2 numbers corresponds to maxima. dy/dx = d/dx x(300-x) = d/dx (300x-x^2)
Applying the FOLLOWING rules x^n = nx^n-1*dy/dx (x) and dy/dx (a-b) = dy/dx (a) - dy/dx (b) = 300*x^0 [d/dx (x)] - 2*x^1[d/dx (x)] = 300 - 2x Now we can equate it to 0 300 - 2x = 0 x = 150 So substituting value of x in the equation x+y = 300 We get value of y also equal to 150 Now you can check the answer too although it will be very lengthy by hit and trial but I guarantee you that you will never get a PAIR whose product is greater than these. |
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| 19. |
At the popular restaurant Fire Wok,55% percent of guests order the signature dish.What fraction of guests order the signature dish? |
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Answer» 55/100=11/20 is the FRACTION required Hope it HELPS |
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| 20. |
This is a hard question pls answer tho |
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Answer» Answer: A STEP-by-step explanation: Given, i = √( - 1 ) ⇒ i^2 = ( √-1 )^2 ⇒ i^2 = - 1 Here, Divide as WELL as multiply by 3 + 2i: In the last step : ( 8 - i )( 3 + 2i ) = 24 + 16i - 3i - 2i^2 ( 3 - 2i )( 3 + 2i ) = ( 3 )^2 - ( 2i )^2 As discussed above, i^2 = - 1 ⇒ 2 + i Now, 2 + i = a + bi ⇒ a = 2 ; bi = i ⇒ a = 2 ; b = 1 Required value of a is 2. OPTION A |
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| 21. |
A diesel car gives a mileage of 10.71 km/l. The price of a litre of diesel is Rs. 65.07.What will be the price of running the car for 40 kilometers? |
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Answer» Answer: Around 265 rupees Step-by-step explanation: For EVERY ONE litre car can travel 10-11 KM Therefore for 40 km car REQUIRES 4ltrs of diesel So 4x65=260 |
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| 22. |
Which properties are present in a table that represents an exponential function in the form mc029-1.jpg when mc029-2.jpg?I. As the x-values increase, the y-values increase.II. The point (1, 0) exists in the table.III. As the x-values increase, the y-values decrease.IV. As the x-values decrease, the y-values decrease, approaching a singular value.I and IVI and IIII and IIIIII only |
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Answer» Properties present that REPRESENT exponential function Step-by-step explanation: As the x-values INCREASE, the y-values increase. The point (1, 0) exists in the table is False but point (0 , 1) exists in table b⁰ = 1 but b¹ = b ≠ 0 Hence (1, 0) does not exist in table As the x-values increase, the y-values decrease. - False As the x-values decrease, the y-values decrease, approaching a singular value. |
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| 23. |
Whats the answer to this |
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Answer» Answer: 2 Step-by-step explanation: We know, Equation of a circle are written in the form of √{ ( x - x₁ )^2 + ( y - y₁ )^2 } = radius Here, ⇒ x^2 + y^2 + 4x - 2y = - 1 ⇒ x^2 + 4x + y^2 - 2y = - 1 ⇒ x^2 + 4x + 4 + y^2 - 2y = - 1 + 4 Adding 1 to both sides; ⇒ x^2 + 4x + 4 + y^2 - 2y + 1 = - 1 + 1 + 4 ⇒ ( x^2 + 4x + 4 ) + ( y^2 - 2y + 1 ) = 4 Using a^2 + B^2 + 2ab = ( a + b )^2 a^2 + b^2 - 2ab = ( a - b )^2 ⇒ ( x + 2 )^2 + ( y - 1 )^2 = 4 ⇒ { x - ( - 2 ) }^2 + ( y - 1 )^2 = 2^2 ⇒ √[ { x - ( - 2 ) }^2 + ( y - 1 )^2 ] = 2 Now, this equation is in the form as given above, so radius of the that circle must have been represented by the RHS of this eq. Radius = 2 |
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| 24. |
Write the coefficient of x² in (2x²-5) (4+3x²)? |
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Answer» Step-by-step explanation: 2 and 3 are the COEFFICIENT. |
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| 25. |
What is the answer to the questionif you get it right i will give you a brainliestpoints will earn 90 |
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Answer» Step-by-step EXPLANATION: Hey mate, answer is in the attachment... Hope it helps you. Please mark me as the BRAINLIEST.... ;) @ Follow me for follow back..... |
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| 26. |
What is the quotient of 11.25 divided by 0.45 ? |
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Answer» ANSWER: 25 Step-by-step EXPLANATION: |
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| 27. |
What must be multiplied to (√a+√b) to get a-b? |
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Answer» Answer: √a - √B. Step-by-step explanation: Here, Multiplication of ( √a + √b ) and x is a - b. ⇒ ( √a + √b ) * x = ( a - b ) ⇒ x = ( a - b ) / ( √a + √b ) On RHS: multiply as WELL as divide by √a - √b : ⇒ x = ( a - b )( √a - √b ) / ( √a + √b )( √a - √b ) We KNOW, ( a + b )( a - b ) = a^2 - b^2. Thus, ( √a + √b )( √a - √b ) = ( √a )^2 - ( √b )^2 = a - b So, ( √a + √b )( √a - √b ) = a - b Continued : ⇒ x = ( a - b )( √a - √b ) / ( a - b ) ⇒ x = √a - √b Hence the required number is √a - √b. |
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| 28. |
Answer quickly, please. thanks.There is a 30% discount on an item that has an original price of $24.95. Another option is instead of the 30% discount, a $5-off coupon can be used. Which deal is the better deal, and how much extra money will she save by using that option over the other? |
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Answer» Answer: I THINK 30% DISCOUNT is better... Step-by-step explanation: As she SAVES $7.49 and if she uses $5 off coupon...she need to PAY $19.95 rather than paying $17.46 by USING 30% discount HOPE IT HELPS U MY FRIEND... |
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| 29. |
Hey mate!The letters A,B,C,A,D,E,B,A,B and F are marked on different cards such that one card has only one letter on it. A man draws one card. Find the probability that the card drawn is marked:a) letter A b) letter B c) letter B or D d) letter A or Cplease help me |
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| 30. |
Answer of my hundred place is twice the lakhs place |
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Answer» Answer: Step-by-step explanation: This number has 7 digits The digit in the ten thousands place is 9 The digit in the hundreds place is 3 TIMES greater than the digit in the ONES place The digit in the millions place is the difference between the tens place and the thousands place The hundreds thousands place is the same as the tens place The tens place is 4 more than the ones place The digit in the ones place is 6 LESS than the digit in the HUNDRED thousands place The digit in the thousands place is 5 |
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| 31. |
If the system of equations 6x + py = 21 and qx + 5y = 7 has infinitely many solutions, what is the value of p/q? |
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Answer» Given: 6x + PY = 21 qx + 5y = 7 The system of equations have infinite solutions To FIND: The value of p/q Solution:6x + py = 21 --------------- [1 ] qx + 5y = 7 --------------- [2] [2] x 3 : 3qx + 15y = 21 --------------- [3] Comparing [2] and [3] 3q = 6 q = 2 p = 15 Find the value of p/q: p/q = 15/2 AnswerL 15/2
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| 32. |
I would like some help with these please |
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Answer» In terms of π Arc AB = 0.83 π metres Arc DE = 2.5 π metres Arc GH = 1.6 π metres Explanation →Given ,
So , Calculating the Arc lengths of each circle by using the FORMULA ,
For 1st circle having radius R1 = 1m , Arc length will be ,
For 2nd circle having radius R2 = 3m , Arc length will be ,
For 3rd circle having radius R2 = 2m , Arc length will be ,
Length of arc
Length of arc
Length of arc
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| 33. |
Rabea made a pizza . In the evening only 3/4 th of it was left. Rabea ate 1/4 th of that .How much of the pizza still |
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Answer» Answer: 1/4 of 3/4 is EQUAL to 3/16 rabea ATE 3/16 so LEFT will be 3/4-3/16 = 9/16 |
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| 34. |
Pointing towards a man, a woman said,”His wife’s father is the husband of my mother’s only daughter”. How is the woman related to the man? |
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| 36. |
In a parallelogram ABCD the lengths of the sides AD = 8 in, AB= 3 in. Angle bisectors of ∠A and ∠D split the opposite side into three segments. Find the length of each of these segments. |
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| 38. |
Michael has 225 milliliters of a liquid. To find out the number of grams of calcium in this liquid, Michael multiplies the volume by 0.015. When he writes the number representing the amount of calcium in the liquid, how many significant digits will the number have?A. 4 B. 3 C. 2 D. 1 |
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Answer» He will have 4 SIGNIFICANT DIGITS. |
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| 39. |
Rabea made a pizza . In the evening only 3/4 th of it was left. Rabea ate 1/4 th of that .How much of the pizza still remains? |
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Answer» Answer 1/2 Step-by-step explanation: 3/4-1/4=1/2 |
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| 40. |
Find the area of the trapezium whose parallel sides are 25cm, 10cm, and the other sides are 14cm and 13cm? |
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Answer» Answer: 98cm2Step-by-step explanation: Find Area of triangle using HERONS formula s= a+B+c/2= 21cm After APPLYING formula , area of triangle= we get 42cm2 and now we have to find height of triangle. 7.5h= 42cm2 h= 5.6cm and we know that area of trapezium= 1/2 * sum of parallel SIDES* DISTANCE between them = 1/2*35*5.6= 98cm2 |
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| 41. |
I would like some help with this, i would like a detailed explanation please |
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Answer» Radius of circle = 9 ft. Minor ANGLE (Angle ABC belonging to minor sector) = 30° Major angle = 360°-30°= 330° AREA of shaded region = Length of ADB = |
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| 42. |
*2, 6,10,14,18,22,26,30,34,38,42,46,50,54,58*☝इसमे की किसी भी 3 संख्याओं का जोड़ 60 आना चाहिए,अब देखते है कौन कौन इसका उत्तर बता सकते है...??? |
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Answer» HI.. .. 2×30 6×10 2+58 |
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| 44. |
A dance school has 63 ballet dancers. If 42% of the total number of dancers in the school are ballet dancers, what is the total number of dancers in the school? Someone please help. |
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Answer» Answer: 150 Step-by-step EXPLANATION: So 42% of X is 63. i.e 42/100 * X = 63 i.e X = 6300/42 = 900/6 = 150 |
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| 45. |
44.84 The missing dimension of the parking space is: |
Answer» your ANAStep-by-step explanation: 11.8×4.8=>56.64 |
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| 46. |
Q13:HCF of 12 and 30 by division method isOa) 6Ob) 9Oc)Od) None of these |
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Answer» HCF stands for highest common factor. 12= 2×2×3 30 = 2×3×5 So , HCF = 3×2 = 6 |
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| 47. |
Q12:HCF of 18, 27 and 36 by d ision method isOa) 3Ob) 9Oc) 18Od) None of these |
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Answer» Answer: I think the HCF is 9 Step-by-step EXPLANATION: |
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| 48. |
Q11:HCF of 27,54 and 18 by di fision method isO a) 9Ob) 18Oc)3Od) None of these |
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Answer» answer is 9 ........ MARK me BRAINLIEST |
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| 49. |
010:HCF of 38, 16 and 14 by division method isa) 2Ob) 4.O c) 16Od) None of these |
Answer» a)2 is the answerHope it helps MARK it as BRAINLIEST if you are satisfied with the answer |
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| 50. |
Describe several methods you could use to determine the rational zeros of a polynomial function. Which would you choose to use first? Explain |
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Answer» Step-by-step explanation: The Rational Zeros THEOREM. ARRANGE the polynomial in descending order. WRITE down all the factors of the constant term. These are all the POSSIBLE values of p. Write down all the factors of the leading coefficient. Write down all the possible values of . Use synthetic division to determine the values of for which P( ) ... |
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