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. |
Find the other zeroes of p(x)= x^2- 4x + 1 if one the zero is 2+√3. |
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Answer» Answer: 2-√3 Step-by-step explanation: For FINDING the other zero of the polynomial X^2-4x+1, we have to assume p(x)=0, so, p(x)=> x^2-4x+1 = 0 now since this is a quadratic equation so, we have a formulae, x = -b±(√b^2-4ac)/2A now from, p(x)=> x^2-4x+1= 0 => x = -(-4)±(√16-4)/2 => x = 4±(√12)/2 => x = 2+√3 , 2-√3 THEREFORE, the other zero of the polynomial x^2-4x+1 is 2-√3
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| 3. |
the difference between first and fourth term of an geometric progression is 52 if the sum of its first three term is 26 then find the sum of first six terms |
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Answer» Answer: Sum of FIRST six terms is 728 Step-by-step EXPLANATION: FORMULA used: Sum of n terms of a G.P
and
Now, (1) can be written as
put r=3 in (1) we get Sum of first six terms |
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| 4. |
A coin is tossed 3 times write the all possible outcomes. find the probability of getting1. 3 heads2. 1 head3. at least 1 head4. maximum 1 head |
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Answer» Step-by-step explanation: Total OUTCOMES =8 P{getting 3heads}= 1/8 P{getting1 head}=3/8 P{getting at least ONE head}=3/8 P{getting maximum one head}=4/8=1/2 |
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| 5. |
Find the distance between the following pairs of point (2,3),(4,1) |
Answer» Here is Your ANSWERChack AttecmentHope it Heplfull Answer |
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| 6. |
the polynomial that represents the product of two consecutive odd integers, the first one being (2x-1) |
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Answer» Answer: 4x² - 1 Step-by-step EXPLANATION: Given: First odd number = 2X - 1 Then second CONSECUTIVE odd number = 2x - 1 + 2 = 2x + 1 The product of these consecutive odd numbers = (2x - 1)(2x + 1) = 4x² + 2x - 2x - 1 = 4x² - 1 So 4x² - 1 is the polynomial which represent the product of consecutive odd numbers where first odd number is 2x - 1 |
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| 7. |
How to find acceleration if S U are given |
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Answer» Here, s stands for DISPLACEMENT and u stands for initial velocity. We can find a=acceleration easily by the FOLLOWING formulas:- 1)2as=v²-u² 2)s=ut+1/2 at² 3)v=u+at The above three formulas are CALLED the formulas of Motion. |
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| 8. |
Simplify:155 X 155 + 155 X 55 + 55 X 55 /155 X 155 X 155 - 55 X 55 X 55 |
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Answer» 335,050 is the answer |
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| 9. |
If there are not enough ones to subtract from, we regroup hundreds. Is it true or false |
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Answer» hmmmm. what do you THINK |
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| 10. |
A car runs 16 km using 1 litre of petrol. How much distance will it cover in 2 3/4 liters of petrol |
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Answer» This question can be easily solved by the process of 'unitary method'. It is given that, in 1 litre of PETROL, a car runs 16 km. So, in 2 whole 3/4 litres=11/4 litres of petrol, the car would run:- (16×11/4) kms =(4×11) kms [4 cancels 16 by 4] =44 kms |
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| 11. |
How was Indian history divided on the basis of religion |
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Answer» Answer: Indian history DIVIDED three regions on the basic of religion they are .hindu , MUSLIMS, CHRISTIANS by JAMES mills |
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| 12. |
The population of a town is 9,75,689.in increased by4563 and next year it decreased by 8976 and what population was left |
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Answer» your answer is below Step-by-step EXPLANATION: TOTAL POPULATION=9,75,689 Increased population=4,565 =9,75,689+4, 565 =9,80, 254 Then total population=9,80,254 Decreased population=8,976 =9,80,254-8,976 =9,71,278 SINCE, the 9,71,278 population was LEFT |
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| 13. |
Solve by trial method 5P + 2=12 . |
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Answer» Answer:2 Step-by-step explanation: 5P+2=12 5P=10 P=10÷5 P=2 |
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| 14. |
URGENT....PleaseFind the zeroes of polynomial (x-2)2 +4. |
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Answer» 6x-12 6(x-2) x=2 x=0 |
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| 15. |
Solve thi sfor my help |
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Answer» Hey MATE,.. here's your answer hope it helps you,.. |
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| 16. |
If p(x)=x^3+ 3x^2 + 3x +1; evaluate p(-2) + p(1/2). |
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Answer» <P>Answer: P(-2)=-1 P(1÷2)=27÷8 P(-2)+p(1÷2)=-1+27÷8=19÷8 For more explanation CONTACT from:
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| 17. |
Whole cube of (a+b+c) Prove |
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Answer» Answer: (a + b + c)³ = a³ + b³ + c³ + 3 (a +b) (b + c) (a+ c) Step-by-step explanation: Proof: (a + b + c)³ = a³ + b³ + c³ + 3 (a +b) (b + c) (a+ c) It can be WRITTEN as (a + b + c)³ - a³ - b³ - c³ = 3 (a +b) (b + c) (a+ c) ......... (1) Consider the L.H.S of equation (1), (a + b + c)³ - a³ - b³ - c³ = a³ + b³ + c³ + 3 ab (a + b) + 3 BC (b + c) + 3 ac (a + c) +6 abc - a³ - b³ - c³ = 3 ab (a + b) + 3 bc (b + c) + 3 ac (a + c) +6 abc = 3 [ ab (a + b) + bc (b + c) + ac (a + c) + 2 abc ] = 3 [ ab (a + b) + b²c + bc² + abc + a²c + ac² + abc ] = 3 [ ab (a + b) + (abc + b²c) + (abc + a²c) + (bc² + ac²) ] = 3 [ ab (a + b) + bc (a + b) + ac (a + b) + c² (a + b) ] = 3 [ (a + b) (ab + bc + ac + c²) ] = 3 [ (a + b) { (c² + bc) + ( ab + ac) } ] = 3 [ (a + b) { c ( b + c ) + a ( b + c ) } ] = 3 (a + b) ( b + c) ( a + c ) which is equal to R.H.S of equation (1). THUS proved. |
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| 18. |
Find three rational number between 1/4 and 5/3 |
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Answer» {There are many WAYS to find rational NUMBER between two NUMBERS. I am using this METHOD.} First, we have to find the LCM of the denominator of the two rational numbers i.e, of 4 and 3 which is 12. (1/4)*3 = 3/12 (5/3)*4 = 20/12 So, you can take any three rational numbers between 3/12 and 20/12. I am taking 4/12, 10/12, 15/12. Simplifying this rational numbers, we get 1/3, 5/6 ,5/4. Answer can vary HOPES IT HELPS! |
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| 19. |
a park in the shape of a quadrilateral ABCD has angle c equal to 90 degree a b 9 metre BC 12 metre cd5 metre AD88 metre how much area does it occupy |
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Answer» Answer: he's been to a lot more INFORMATION PLEASE send you my friend to BROUGHT it |
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| 20. |
a lane150 metre long and 9 metre wide is to be pavad with brick each measured by. 5 by 7. 5 cm find the number of bricks required |
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Answer» This question can be easily SOLVED by the concept of Area. Note:- Here both the lane and bricks are in the shape of a rectangle. For lane:- Length=150 m Breadth=9 m So, its area=L×B =150×9 =1350 m² For bricks:- Breadth=0.5 cm=0.005 m Length=7.5 cm=0.075 m So, its area=L×B=0.005×0.075=3/8000 m² So, the NUMBER of tiles required=Total area of the lane/Total area of a brick =1350÷3/8000 =3600000 |
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| 21. |
By remainder theorem find the remainder when p(x) divide by g(x), p(x)= x^3-6x^2+2x-4 ,g(x)= 11-3/2x |
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Answer» So, 11-3/2x=0 11=3/2x (11×2)/3=x 22/3=x Now, put this VALUE of x in p(x). So, p(22/3)=(22/3)³-6×(22/3)²+2×22/3-4 =10648/27-6×484/9+44/3-4 =2224/27 |
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| 22. |
Ali and Ram read more books than the other students in the class.Hari read more than 1 book. Sameer read twice as many books asHari. The graph shows the number of books read by 39 studentsduring the school holidays.Which statement is correct? |
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| 25. |
By using distrbuting property530 X 108 + 530 x 2 - 530 x 10 |
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Answer» Answer: 2807300 Step-by-step EXPLANATION: 280900+360-530*10 281260-530*10 280730*10 2807300 |
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| 26. |
the length of a rectangle is 8cm and each of its signal measures 10cm. find the breath and area of rectangle |
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Answer» Answer: 3 Step-by-step EXPLANATION: |
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| 27. |
write a pair of interior for which the following statement are true. On adding any Integer with its additive inverse we get the additive identity |
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Answer» -7+7= 0 Here -7 is INTEGER and +7 is it's additive INVERSE. so the SUM is the additive identity which is 0 |
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| 28. |
The series E 1/n is: |
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Answer» CONVERGENCE of the SEQUENCE. |
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| 29. |
Solution is, y = C.F + P.I = A cos ax +2-12(D2 - 2D + 2)y = 23x + Cos 2xequation is (D2 - 2D + 2) y = e3x + Cosry equation is m2 - 2m + 2 = 0 |
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Answer» A (t an- 1 x)=-i- dx V ; 1 + x 2 d , -i , 1 — (sec x) = — dx xV(x 2 - 1) (v) — (sin h x) = cos h x dx dx (tan h x) = SECH 2 x dx v v u^_ vdu/dx — u dv/dx — (AX + b) n =n(ax + b) n " 1 .a dx a x ) = a x log e a dx d n \ 1 — (log a x)= — . dx x log a d , , — (cos x) = — sin x dx d_ dx _d_ dx _d_ dx (cot x) = — cosec 2 x (cosec x) = — cosec x cot x. (cos _1 x) = -1 7(1 " x 2 ) - d -(cor 1 x)=-^ T dx 1 + x^ d , _i . -1 — (cosec x) = dx d_ dx _d_ dx V(x 2 -1)' (cos h x) = sin h x (cot h x) = —cosec h 2 x. (vi) D n (ax + b) m = m (m -1) (m - 2) (m - n + 1) (ax + b) m - n . a" xiii D n log(ax + b) = (- 1) (n - 1) ! a n /(ax + b) n D n (e™) = m n e mx D n (a 1 ™) = m n (loga) n . a™ D n [?sf b r4]=(a 2+ *> 2 ) n/2 ^ax sin(bx + c + n tan b / a) cos (bx + c + n tan - ^ b / a) (vii) Leibnitz theorem: (uv) n = U n + n ClU n -lVl+ n C 2 Un-2V2 + + n C r U n -RV r + + n C n V n . 3. Integration ,n + l (i) fx" dx=^— (n J n + 1 Je x dx = e x (ii) Jsin x dx = — cos x Jtan x dx = — log cos x f f Tl X ^ Jsec x dx = log(sec x + tan x ) = log tan ^— + — Jcosec x dx = log(cosec x — cot x ) = log tan ^ Jsec 2 x dx = ..... r dx 1 . _i x ( m ) J 2^ 2 = - tan 1 - J a 2 + x z a a f f- dx = log e x J X Ja x dx = a x /log e a Jcos x dx = sin x Jcot x dx = log sin x 'a + x' dx 1 , a + x — lo 8 'a 2 — x 2 2a ° a - x Jcosec 2 x dx = — cot x. dx . _i x ==■ = sin — a p — , = sin h — V(a 2 +x 2 ) a f dx 1 . x — a 'x 2 - a 2 " 2a~ og 7T7 r dx r dx J V(x 2 -a 2 ) u-1 x cos h — . • -1 x |
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| 30. |
Find the argument of 1+√3i/√3+I |
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Answer» Answer: Step-by-step EXPLANATION: multiply NUMERATOR and denominator by √3 - i so (1+√3i)(√3 - i) =2√3+2i and (√3 + i)(√3 - i)=4 so arg(√3/2 +i/2) so tanx =-(1/2)/(√3/2)=-1/√3 |
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| 31. |
How much pure alcohol should added to 400 ml of strength 15% to make its strength 32%? plzz answer |
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Answer»
Solution:- Let the REQUIRED number of milliliters of ALCOHOLS be x ml. Given 15 % of 400 ml should be added with 100 % of PURE alcohol. Hence 400(15 %) + x(100 %) = (400+x) (32 %) ⇒ 400 × 15/100 + x = (400 + x) × (32/100) ⇒ 60 + x = 128 + (8x/25) ⇒ x - 8x/25 = 128 - 60 ⇒ 17x/25 = 68 ⇒ x = (68 × 25)/17 ⇒ x = 1700/17 x = 100 ml Answer Plz follow me Plz mark as brainlist answer |
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| 32. |
if alpha and beta are two zeros of polynomial x square - 5 x + 6 find the value of one upon alpha plus one upon beta minus 2 alpha beta |
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Answer» Here is your SOLUTION..... |
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| 34. |
4. For what value of a the following pair of linearequation has infinitely many solutions?2x + ay = 8ax + 8y = a |
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Answer» Answer: a = 4 and 8 Step-by-step explanation: 2x + ay - 8 = 0 ax + 8Y - a = 0 eq. has INFINITE many SOLUTION so, a1/a2 = b1/b2 = c1/c2 2/a = a/8 = -8/(-a) 2/a = a/8 = 8/a on compairing a1/a2 = b1/b2 2/a = a/8 2 × 8 = a × a 16 = a² a = 4on compairing. b1/b2 = c1/c2 a/8 = 8/a a × a = 8 × 8 a² = 64 a = 8 |
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| 36. |
Spammers stay away Hey guys solve this proving trigonometric question 5 ,(v) |
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Answer» HII its tom85 solution is ATTACHED above DUDE...... __________/\_______☺️✌️✊ hope it HELPS you dude |
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| 37. |
The value of V25 x 40 × √343 upon 125 is.a) 10b)12c)14d)none of these |
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Answer» Answer: I THINK the answer is D none of these Step-by-step explanation: √25 x 40 x √343/125 = 5 x 40 x 18.5 / 125 After CANCELING = 1.6 * 18.5 = 29.6 |
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| 38. |
Define a function as a correspondence between two sets |
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Answer» Answer: A function is a special type of RELATION where every INPUT has a UNIQUE output. Definition: A function is a correspondence between TWO sets (called the domain and the range) such that to each element of the domain, there is assigned exactly one element of the range. ...... |
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| 39. |
The predecessor of 8970 is |
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Answer» Answer: 8969 Step-by-step EXPLANATION: HOPE it helps mark as BRAINLIEST |
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| 41. |
Give 2 rational number lying between 0.232323--------------&0.212112111---------------- |
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Answer» Answer: 0.222200000 and 0.222310279 |
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| 42. |
X=1-√2 find value of {x-1÷x}square |
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Answer» ...................... |
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| 43. |
1. Discuss the following relations for reflexivity, symmetricity and transitivity:i) The relation R defined on the set of all positive integers by "mRn if m divides n".(ii) Let P denote the set of all straight lines in a plane. The relation R defined by "l R m if l is perpendicular to m"iii) let A be the set consisting of all the members of a family. The relation R defined by "aRb if a is not a sister of b " |
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Answer» Answer: 1)The relation R defined on the set of all positive integers by "MRN if m divides n". We KNOW that Every integer divides itself so the relation is reflexive Since 3 divides 6 but 6 does not divides 3 so the relation is not symmetric And If a divides b and b divides c then a also divides c where a , b and c is the positive integer so the relation is transitive. 2)Let P denote the set of all straight lines in a plane. The relation R defined by "L R m if l is PERPENDICULAR to m" Since the line L is not perpendicular to itself so the relation is not reflexive. If the line L is perpendicular to line M then the line M is also perpendicular to line L to the relation is symmetric. If line L is perpendicular to line M and M is perpendicular to line F then Line L and Line F are parallel to each other so the relation is not transitive. 3)let A be the set consisting of all the members of a family. The relation R defined by "aRb if a is not a sister of b " Since the sister S is note the sister of itself so the relation is reflexive. If the A is not the sister of B then B is also not the sister of A so the relation is symmetric. And If A is not the sister of B and B is not the sister of C Then it is POSSIBLE that the A and C are sisters of each other So the relation is not transitive. If A , B and C each have different parents then the relation is transitive. |
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| 44. |
Find the perfect square numbers between for 30and40 |
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Answer» PERFECT SQUARE between 30 and 40 is 36 as 6 × 6 = 36. Hope it helps❤❤❤ |
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| 45. |
7th terms of the series 16,8,4,2 is |
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Answer» Answer: 1/4 Step-by-step explanation: nth term = ar^(n-1) a = 16 = 2^4 a2 = 8 = 2^3 a3 = 4 = 2^2 r = a2/a = 2^3/2^4 = 1/2 a7 = ar^(7-1) = 16(1/2)6 = 16×1/64 = 1/4 |
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| 46. |
Four years ago, the father's age was three times the age of his son., the total of the ages of the father and the son after four years, will be 64 years. What is the father's age at present ? |
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Answer» ANSWER:42 Step-by-step explanation: see let the son's age be X therefore father's age will be = 3*x =3x therefore according to statement, after four years, the father's age will be = 3x+4 (4 is represented as PER increasing on years) and son's age will be x+4 therefore final equation will be, 3x+4+x+4 = 64 solving: 4x+8 = 64 4x = 64-8 4x = 56 x=56/4 x=14 therefore son's age is 14 and father's age is 14*3 = (answer) 42 |
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| 47. |
If cos1x + cos1y + cos1z = 3, then the value of is |
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Answer» Step-by-step explanation: this can only be possible when cos1x= cos1y= COS1Z =1 therefore X=y=z= 0 |
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| 48. |
Please do the requested questions |
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Answer» ANSWER:- A composite number is a number which has factors other than 1 , itself that is more than 2 factors. LET's PROVE that, The given number has other factors than 1 , itself. ( 17 * 11 * 2 ) + ( 17 * 11 * 5 ) = 17 ( 11 * 2 + 11 * 5 ) = 17 ( 11 ) ( 2 + 5 ) = 17 ( 11 ) ( 7 ) The given number has other factors like 7 , 11 , 17 . Hence, It is a composite number |
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| 49. |
A watch is sold for 448 rupees and gives a profit of only 12% find the profit percent if the selling price has been 512 rupees. |
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| 50. |
Rationalise the denominator :4√3+5√2. / 4√3+3√2 |
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Answer» Step-by-step EXPLANATION: |
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