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. |
Given f: R+ → [-5,infinity] defined by f(x)=9x2 + 6x - 5.Then f^-1(3) +f^-1*(10) = ? |
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Answer» Answer: jduryduhhghhh hua so d do TULA YA ga ha gla THA us gla us SIS |
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| 3. |
If a vector is equal to two icap-jcap+kcap b vector is equal to icap+jcap-2kcapand c vector is equal to icap+3 jcap-kcap such that a vector is perpendicular to lambda×b vector +c vector then find lambda |
Answer» What is the PROJECTION of two vectors?The vector projection is the vector produced when ONE vector is RESOLVED into two component vectors, one that is PARALLEL to the 2nd vector and one that is perpendicular to the 2nd vector. The parallel vector is the vector projection. |
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| 4. |
In what time will rs 7500 amount to rs 8625 if simple interest is reckoned at 15/2% |
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Answer» Step-by-step explanation: In what TIME will rs 7500 AMOUNT to rs 8625 if SIMPLE interest is reckoned at 15/2% ? , that QUES. ANSWER is 15 years 4 months. |
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| 6. |
If x is equal to 1+root 2 then show that x-1/x whole cube is equal 8 |
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Answer» Step-by-step explanation: plzzz MARK as brainylist plzzz |
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| 7. |
The coefficient of x2 in the expression (x+2)2 is |
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Answer» the COEFFICIENT of X2IS 1 |
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| 8. |
0Graphically, the pair of equations6x - 3y + 10 = 0; 2x -y + 9 = 0 represents two lines which are |
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Answer» Answer: Parallel Step-by-step explanation: 6x - 3Y + 10 = 0 ==> y = 2X + 10/3 2x - y + 9 = 0 ==> y = 2x + 9 slope m is the same 2 and that mean lines are parallel. |
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| 9. |
Show that the square of any positive integers can not be of the form 6q+2 or 6q+5 for any integer q |
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Answer» Answer: where, m =(6q2 + 8q + 2) is an integer. where, m = (6q2 + 10q + 1) is an integer. Hence, the square of any positive integer cannot be of the form 6m + 2 or 6m + 5 for any integer m Step-by-step explanation: Let a be an arbitrary positive integer, then by Euclid’s division algorithm, corresponding to the positive integers a and 6, there exist non-negative integers q and r such that a = 6q + r, where 0< r< 6 a = 6q + r, where 0 ≤ r < 6 ⇒ a2 = (6q + r)2 = 36q2 + r2 + 12qr [∵(a+b)2 = a2 + 2ab + b2] ⇒ a2 = 6(6q2 + 2qr) + r2 ...(i) where,0 ≤ r < 6 Case I When r = 0, then putting r = 0 in Eq.(i), we get a2 = 6 (6q2) = 6m where, m = 6q2 is an integer. Case II When r = 1, then putting r = 1 in Eq.(i), we get a2 + 6 (6q2 + 2q) + 1 = 6m + 1 where, m = (6q2 + 2q) ais an integer. Case III When r = 2, then putting r = 2 in Eq(i), we get a2 = 6(6q2 + 4q) + 4 = 6m + 4 where, m = (6q2 + 4q) is an integer. Case IV When r = 3,then putting r = 3 in Eq.(i), we get a2 = 6(6q2 + 6q) + 9 = 6(6q2 + 6a) + 6 + 3 ⇒ a2 = 6(6q2 + 6q + 1) + 3 = 6m + 3 where, m = (6q + 6q + 1) is an integer. Case V when r = 4, then putting r = 4 in Eq.(i) we get a2 = 6(6q2 + 8q) + 16 = 6(6q2 + 8q) + 12 + 4 ⇒ a2 = 6(6q2 + 8q + 2) + 4 = 6m + 4 where, m =(6q2 + 8q + 2) is an integer. Case VI When r = 5, then putting r = 5 in Eq.(i), we get a2 = 6 (6q2 + 10q) + 25 = 6(6q2 + 10q) + 24 + 1 ⇒ a2 = 6(6q2 + 10q + 4) + 1 = 6m + 1 where, m = (6q2 + 10q + 1) is an integer. Hence, the square of any positive integer cannot be of the form 6m + 2 or 6m + 5 for any integer m.
0 votes answered Feb 8, 2018 by priya12 (-12,635 points) Let a be an arbitrary positive integer, then by Euclid’s division algorithm, corresponding to the positive integers a and 6, there exist non-negative integers q and r such that a = 6q + r, where 0< r< 6 Hence, the square of any positive integer cannot be of the form 6m + 2 or 6m + 5 for any integer m. Related questions +1 vote 3 answers Show that the square of any positive integer cannot be of the form 5q + 2 or 5q + 3 for any integer q. asked Feb 8, 2018 in Class X Maths by akansha Expert (2.2k points) real numbers 0 votes 1 answer Show that the cube of a positive integer of the form 6q + r,q is an integer and r = 0, 1, 2, 3, 4, 5 is also of the form 6m + r. asked Feb 9, 2018 in Class X Maths by priya12 (-12,635 points) real numbers 0 votes 2 answers Show that the square of any positive integer is EITHER of the form 4q or 4g + 1 for some integer q. asked Feb 8, 2018 in Class X Maths by akansha Expert (2.2k points) real numbers 0 votes 3 answers Write whether the square of any positive integer can be of the form 3m + 2, where m is a natural number. JUSTIFY your answer. asked Feb 8, 2018 in Class X Maths by aditya23 (-2,152 points) real numbers 0 votes 2 answers Show that cube of any positive integer is of the form 4m, 4m + 1 or Am + 3, for some integer m. asked Feb 8, 2018 in Class X Science by akansha Expert (2.2k points) real numbers 0 votes 1 answer Show that any positive integer is of the form 3 q , 3q+1, 3q+2 for some integer q. asked Mar 23, 2019 in Class X Maths by Sakshi Gupta (-254 points) real numbers 0 votes 2 answers use euclid's division lemma to show that the square of any positive intiger is either of the form 3m or 3m+1 for some integer m? asked Oct 31, 2017 in Class X Maths by aditya23 (-2,152 points) +1 vote 1 answer Show that one and only one out of n, n + 4 , n + 8, n + 12 and n + 16 is divisible by 5, where n is any positive integer. asked Feb 9, 2018 in Class X Maths by priya12 (-12,635 points) real numbers |
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| 10. |
Devision of whole number____is not defined |
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| 11. |
How to simplify7r +2s +3t +s+2t |
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Answer» Answer: 7r+3s+5t Step-by-step EXPLANATION: |
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| 12. |
If 8sina - 2cosa =3 sina + 8 cos a find a |
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Answer» Step-by-step explanation: 8Sina-2Cosa=3Sina+8Cosa 8Sina-3Sina=8Cosa+2Cosa 5Sina=10Cosa Sina/Cosa=10/5 Tana=2 so a=2/tan a=2tan^-1 a=63.43 (APPROX.) |
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| 13. |
If x^2+1/4x^2=8, find x^3+1/8x^3 |
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Answer» MARK me as the BRAINLIEST |
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| 14. |
Write down the expansion according to International system of numeration 230975634 |
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Answer» 230975634 International form - There is a comma after 3 number places. 230975634 in international form WOULD be - 230,975,634 Pronunciation - Two hundred thirty - NINE million, nine hundred seventy - five thousand, SIX hundred thirty - four. Expanded form - 200,000,000+30,000,000+900,000+70,000+5,000+600+30+4 Hope this helps. PLS mark as brainliest answer. |
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| 15. |
If √3 is the zero of the polynomial x²-k.Then find the value of x |
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Answer» Step-by-step EXPLANATION: IF √3 IS ROOT OF X^2 -K, THEN, put the VALUE of x in this equation, (√3)*(√3) - k = 0 3-k = 0 k = 3 |
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| 16. |
7. Anjana goes to school at 7:45 a.m. and comes back from school at 2:30 p.m.How long is she away from home? |
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Answer» Answer: she is away from HOME for 6 hours 45 MINUTES.......
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| 17. |
Pls give correct answers. needed Urgently |
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Answer» Step-by-step EXPLANATION: U can ADD me BRAINLIEST |
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| 18. |
Divide 182 in 3 parts in the ratio 1/10: 1/15 :1/201/10 1/15 1/20 are fractionsthe ones are numerater |
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Answer» 55577882678844480002256 |
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| 19. |
What is the smallest number that should be subtracted from 8317 to makeit divisible by 18 ? |
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Answer» Step-by-step EXPLANATION: we have to SUBSTRACT 8317 - 8298 = 19 after that the number which is DIVISIBLE by 18 is 8298 = 461 |
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| 20. |
Y=3–root8 then (y—1/y)2 |
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Answer» SORRY dear Step-by-step EXPLANATION: please follow me please mark as brainlist |
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| 21. |
In a class consisting of 100 students, 20 know English and 20 do not know Hindi and 10 knowneither English nor Hindi. The number of students knowing both Hindi and English A) 5B) 10C) 15D) 20 |
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Answer» Answer: the answer will be 10 Step-by-step EXPLANATION: E=20 noE=80 noH=20 both no=10 the number of student don't KNOWING both ENGLISH and Hindi=80+20-10=90 number of student in both English and Hindi=100-90=10 please FOLLOW me and mark as brainliest plz plz |
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| 22. |
write the name of 8 objects / shape which are quadrilateral in shape . write the type of quadrilateral. |
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Answer» The TOTAL of its interior angles = 360 degrees. A quadrilateral with four equal sides and four right angles is a square. A quadrilateral that has OPPOSITE sides equal and measure of EVERY angle is 90 degrees is a rectangle. PARALLELOGRAM, trapezium, rhombus, and kite are other examples of quadrilaterals. |
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| 23. |
Which tranversals can be drawn for two parallel line |
Answer» Here is ur answer mate⏬⏬⏬⏬⏬⏬⏬⏬⏬Transversal in geometry, a transversalis a line that passes through two linesin the same plane at twodistinctpoints. Transversals play a role in establishing whether two other linesin the Euclidean plane are PARALLEL. Infinite transversal can be drawn for two distinct lines . ⏫⏫⏫⏫⏫⏫⏫⏫⏫↫↫↫↫↫ Hope it helps youPlz mark me BRAINLIST ↬↬↬↬↬ |
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| 24. |
[3^3-(1/2)^3×1/19. |
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Answer» Step-by-step explanation: 27 - 1/72 (1944 - 1)/72 26.98 |
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| 25. |
69. Find the coordinates of the centre of a circle passing through the points A (2, 1), B (5,-8) and C (2,-9). Also find the radius of the circle. |
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Answer» Step-by-step EXPLANATION: ...........................####¥¥¥ |
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| 26. |
Two vehicles are sold for Rs.1897each. One is sold at a profit of 30%and another at a loss of 30%. What isthe net profit/loss%? |
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Answer» Given: ONE vehicle is sold at a profit of 30% and another at a LOSS of 30%. To find: The net profit or loss % Solution: The selling price of each vehicle is ₹1897 So the ratio of the selling price in both the cases must be the same. On First vehicle there is a profit of 30% which is 3/10 and on the second article there is a loss of 30% which is again 3/10 So, CP₁ = 10 CP₂ = 10 P₁ = 3 L₂ = 3 SP₁ = 10+3 = 13 SP₂ = 10-3 = 7 But ACCORDING to the question the Selling price of both the ITEMS must be the same. CP₁ = 70 CP₂ = 130 P₁ = 21 L₂ = -39 SP₁ = 91 SP₂ = 91 so, There will be the net loss which is Loss = -39 + 21 = -18 Total Cost price of the both vehicle is: CP = 130+70 = 200
There will be net loss of 9%. |
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| 27. |
Degree of polynomial 3 x(x+2) is |
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Answer» ANSWER:- 3x(x + 2) = 3x² + 6x The degree of the polynomial is the highest POWER of an expression. 3x² has a degree 2 Thus, 2 is the degree of the polynomial. |
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| 28. |
Write down the numerical as well as literal coefficients of each of the following : -2p³q² |
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Answer» Step-by-step EXPLANATION: kdxshsbghfbchjdncijfcnjkdmksncndimsi wnqkjnjknjidnjuwjdjcnjcnjncjcnjcnjcnjcnjcnj |
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| 29. |
If P ={a,b, c}and Q={r}from sets p*qand q*p are these two products equal |
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Answer» Answer: No q*p={(ra),(TB),(rc} Mark as brainlist |
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| 32. |
22. The point (-3,5) lies in the *1 pointO first quadrantO fourth quadrantO third quadrantO second quadrant |
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| 33. |
어The interval in which f(n) =2x² - 9x² - 60x + 8p isstrictly decreasing is |
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Answer» p belongs to (-infinity , -1) Step-by-step EXPLANATION: |
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| 34. |
If cos(teeta-alpha ),costeeta ,cos (teeta + alpha ) are in hp then cos theeeta -sec alpha /2=? |
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Answer» Step-by-step EXPLANATION: If THREE numbers are in H.P., then,
are in H.P., |
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| 35. |
Prove that:-(cosA÷cosec+1) +(cosA÷cosecA - 1) = 2 tanA |
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| 36. |
③ which term of the ap -5,-9,-13,-7....is-141? |
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Answer» Answer: see the ATTACHED FILE.....hope it HELPS you....plz MARK it as BRAINLIEST.... |
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| 37. |
a chess board contains 64 equal squares and the area of a square is 6.25 CM square .A border around the board is 2 cm .find the length of the side of the chess board |
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Answer» Step-by-step EXPLANATION: |
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| 38. |
Factorise 1-2a-3a² find the ans |
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Answer» -(3a²+2a-1) = - (3a²+3A-a-1) = -3a(a+1)-1(a+1) = -(3a+1)(a+1) Step-by-step EXPLANATION: |
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| 39. |
What is 2 1/3 x 3 1/3 |
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Answer» Step-by-step explanation: FIRST first we have to FIND out the LCM of the denominators denominators are same so there LCM is also same which is 3 |
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| 40. |
The middle term of AP 6,13,20 ..... 216 is |
Answer»
Hence, |
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| 41. |
Convert into mixed numbers: a) 119/9 b) 961/13 |
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Answer» Step-by-step explanation: MARK me as the BRAINLIEST. And in the first question 119 is divided by 9 so the quotient is 13 remainder is 2, the second question's explanation is SIMILAR to first. |
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| 42. |
find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. (I) 5,8 (II) 1/5-18 |
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Answer» Step-by-step EXPLANATION: |
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| 43. |
_ is 90 =45_ is 200= 50 |
Answer» 1/21/4I HOPE this HELPS you and PLEASE MARK me the BRAINLIAST. |
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| 44. |
Can anyone plz help me with this question.... no spam |
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Answer» According to exponent laws A × A = A^2 therefore y^4 × y = y^5 = y^5/y^-2 according to exponent laws a/a = a^1-1 = a^0 = 1 therefore y^5/y^-2 = y^5-(-2) = y^5+2 = simplest FORM is y^7 |
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| 45. |
Can. anyone solve please |
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Answer» Answer: 5m+5-1=0after SOLVING |
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| 46. |
Number of prime number between 1 to 100 what are they |
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Answer» Answer: there are 25 prime NUMBER between 1 to 100. They are :- 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. Step-by-step explanation: hope this help you. mark me as brainliest... |
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| 47. |
F:[0,∞)->R by f(x)=x/x+1 is it(i)one one (ii)onto (iii)both (i) and (ii)(iv)not one one or onto(explain pls) |
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Answer» Step-by-step EXPLANATION: |
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| 48. |
Simplify of 32-(18+14) -7 |
Answer» Here is ur answer mate⏬⏬⏬⏬⏬⏬⏬⏬⏬⏫⏫⏫⏫⏫⏫⏫⏫⏫↫↫↫↫↫ Hope it HELPS youPlz mark me BRAINLIST ↬↬↬↬↬ |
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| 49. |
Area of shaded portion is |
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Answer» Step-by-step explanation: GIVEN -
To Find -
Now, As we see :-
Then,
→ Area = 4×3 → 12 And As we see :-
Then,
→ Area = (2)² → 4 And Area of square STWX = (1)² → 1 And As we see :-
→ Area of ΔPVZ = 1/2 × base × height → 1/2 × 2 × 2 → 2 Now, Area of shaded region = Area of rectangle PQRS - Area of Δ PVZ - Area of square RTUV - Area of square STWX → 12 - 2 - 4 - 1 → 12 - 7 → 5 Hence, The area of shaded region is 5. Note - Figure in the attachment NOT TO SCALE |
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| 50. |
Estimate each of the following products by rounding off the first number downwardsand the second number upwards:19. 356 x 27820. 472 x 7621. 578 x 369 |
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Answer» Answer: As we have to take products of ROUND off of the FIRST and second upwards so 19. 356 x 278= 350 x 280= 98000 20. 472 x 76= 470 x 80= 37600 21. 578 x 369= 570 x 370=210900 Step-by-step explanation: Hope this answer would help you... Please mark it as BRAINLIEST answer. |
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