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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. |
Q 3: Îą and Îą are zeroes of polynomial 4x2-2x + k + 7. Find the value of k. |
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Answer» Since, a and 1/a are the zeroes of the polynomial given, therefore a* 1/a = (k+7)/4. [ Product of zeroes= c/a]Therefore, (k+7)/4=1Ie,. k+7=4So,. k= -3 Like my answer if you find it useful! |
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| 2. |
\left. \begin{array} { l } { a b x ^ { 2 } - ( a + b ) c x + ( a + b ) ^ { 2 } = 0 } \\ { a c x ^ { 2 } - ( a + c ) b x + ( a + c ) ^ { 2 } = 0 } \\ { a c x ^ { 2 } + ( a + c ) b x - ( a + c ) b x - ( a + c ) ^ { 2 } = 0 } \end{array} \right. |
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Answer» Option D is correct |
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| 3. |
fAx B = {a, x) (a, y), (b, x), (b, y)} find A 1and B. [af7 A x B = {a, x) (a, y), (b, x), (b, y)},11 |
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Answer» given is the set Cartesian product so we get setA={a,b}B={x,y} |
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| 4. |
( \frac { x ^ { a + b } } { x ^ { c } } ) ^ { a - b } \cdot ( \frac { x ^ { b + c } } { x ^ { a } } ) ^ { b - c } \cdot ( \frac { x ^ { c + a } } { x ^ { b } } ) ^ { c - a } |
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| 5. |
Find the value of k for which-2/7, k ,--7/2 anc in G P. |
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| 6. |
7. Find the value of k if the points A(2, 3), B(4, k) and C(6,-3)are colinear. |
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Answer» will u help me to solve another question that is no 18 |
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| 7. |
\overline{a}=2 \vec{i}+3 \vec{j}+6 \overline{k} \text { agt } \overline{b}=3 \vec{i}-6 \overline{j}+2 \overline{k} |
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Answer» I j k2 3 63 -6 2 after solving (6+36)i-(4-18)j+(-12-9)k |
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| 8. |
\lim _{x \rightarrow 0} \frac{\sin a x+b x}{a x+\sin b x} a, b, a+b \neq 0 |
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| 9. |
y ! ( x + a ) ( x + b ) = x ( x + b ) + a ( x + b ) |
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| 10. |
Apieceofrope 10ml longis cut it three pieces lfthelengthenwopiecesis 42 mrespectively, then find the length of the third piece?d3 m |
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| 11. |
Three pieces of timber 42 m, 99 mehave to be divided into planks of the same lengthplankWhat is the greatest possible length of eachHow many planks are formed? |
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Answer» pic kaha h |
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| 12. |
29. Three pieces of timber, 42-m, 49-m and 63-m long, have to be divided into planks of thesame length. What is the greatest possible length of each plank? |
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| 13. |
Three pieces of timber 42 m, 49 m and 63 m long have to be divided into planksthe same length. What is the greatest possible length of each plank? |
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| 14. |
29948129. Three pieces of timber, 42-m. 49-m and 63-m long, have to be divided into plansame length. What is the greatest possible length of each plank?30. Three different |
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Answer» the lecture tzhhdu ucusjc djfhjetc udjrbgsi djhducjcfj dhhdud if God dhhjdv rjjfbj |
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| 15. |
s. Given that LCM (396, 576) 6336, find HCF (396, 576). |
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Answer» thanks can you help me on whatsapp If u have any doubt..u can post your question what are your whatsapp numbers |
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| 16. |
: 396 x 99 का मान ज्ञात कीजिए। |
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Answer» root(396) * root(99) = root(4*9*11) * root(9*11) = 2*3*root(11) * 3root(11) = 18*11 = 198 |
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| 17. |
HCF of 231. 396 is |
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Answer» Euclid's algorithm: Step 1. Divide the larger number by the smaller one:396 ÷ 231 = 1 + 165; Step 2. Divide the smaller number by the above operation's remainder:231 ÷ 165 = 1 + 66; Step 3. Divide the remainder from the step 1 by the remainder from the step 2:165 ÷ 66 = 2 + 33; Step 4. Divide the remainder from the step 2 by the remainder from the step 3:66 ÷ 33 = 2 + 0; At this step, the remainder is zero, so we stop:33 is the number we were looking for, the last remainder that is not zero. This is the greatest common factor (divisor). Like my answer if you find it useful! |
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| 18. |
Use Eucid diuisin) 231 396 |
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| 19. |
(2) The difference between the roots of the equation x2-13x + k = 0 is 7 find k. |
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| 20. |
If p,q are the roots of the equation x2+k+1 0 then |
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Answer» irrelevant answer |
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| 21. |
SECTION-AFind the value of k for which the equation x2-4x + k = 0 has equal root |
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| 22. |
The sum of two integers is 396. If one of themother.is64,determinethe |
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Answer» x+64=396x=396-64=332 Thanks simran |
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| 23. |
Find the HCF of 231 and 396, usingEuclid's division algorithm. |
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| 24. |
Page No:Date:1Three pieces of timber 42 m, 49 m and 63m longhave to be divided into planks of the same lengthWhat is the greatest possible length of each plank?How many planks are farmed? |
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Answer» HCF of 42,49,63 = 7 1st plank i.e 42/7 = 6 2nd plank i.e 49/7 = 7 3rd plank i.e 63/7 = 9 Planks formed are = 6 + 7 + 9 = 22 |
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| 25. |
69126561.. Reduceo its lowest terms... The HCF of two numbers is 12 and their LCM is144 If one of them is 36, then find the other.Find the greatest possible length of the rope thatcan be used to measure two sticks of lengths 24 mand 18 m. |
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Answer» tqq |
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| 26. |
7. Write an equation that would show the totalnumber of lip gloss sticks Mrs. Nelson received ifshe bought 34 packages of lip gloss sticks with 4 lipgloss sticks per package. |
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Answer» No. of packages bought = 34 No. of lipgloss stick pe package = 4 Total no. of lip gloss sticks = 34 * 4 = 136 |
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| 27. |
Sachin bought two hockey sticks for 560 and240 respectively. He sells the first stick at aof 15% and the second one at a loss of 5%. Findhis gain or loss per cent on the whole transaction?gain |
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| 28. |
30. Sachin bought two hockey sticks for 560 and240 respectively. He sells the first stick at again of 15% and the second one at a loss of 590. Findhis gain or loss per cent on the whole transaction? |
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| 29. |
( k + 1 ) x ^ { 2 } + 2 ( k + 3 ) x + ( k + 8 ) = 0 |
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Answer» thank u |
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| 30. |
how minute in one hour |
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Answer» 60 minutes are there in an hour. |
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| 31. |
If x^{3}+8 x^{2}+k x+18 is completely divisible byx+3 then the value of k. |
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Answer» as its divisible by X+3hence X=-3put in the value in equation and equate to zero(-3)^3+8(-3)^2+k(-3)+18-27+72-3k+18=03k=63k=21 |
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| 32. |
The sum of the remainders obtained when \left(x^{3}+(k+8) x+k\right) is divided by (x- 2) or when it is divided by (x+1) is zero. FInd the value of k. |
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Answer» f(x)=x^3+(k+8)x+k,g(x)= x-2h(x)= x+1Take x-2=0 x=2f(2)=8+(k+8)2+k =8+2k+16+k =24+3k Take x+1=0 x=-1 f(-1)=-1+(k+8)(-1)-5 =-1-k-8+k =-9 Now, add the remainders 3k+24-9=03k+15=0k=-5 Can you solve this question in another way,I mean without using functions? according to standard of class 8 cbse pls. |
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| 33. |
The sum of the remainders obtained when (r + (k + 8)x + k) is divided by (x -2)or when it is divided by (x +1) is zero. Find the value of k. |
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| 34. |
If the sum of zeroes of the polynomial (x) = $k x^{2}-8 x+6$, then findf k. |
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Answer» solution :- sum of zeros = -b/a 4 = -(-8)/k 4 = 8/k k = 8/4 k = 2 |
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| 35. |
The sum of the remainders obtained when (3 (k+8)x + k) is divided by (x 2)or when it is divided by (x + 1) is zero. Find the value of k. |
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| 36. |
Find all the values of 'K, for which one root of the equation x2-(K + 1) x +k-+ K-8 = 0, exceeds 2 &the other root is smaller than 2.E-2. |
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| 37. |
|17 (9, 4||How many zeroes are tr1x2x3x4......49 x 50 क ।(B) (4,0)23 X4......49 x 50:zeroes are there in the product of 1* 4(A)7नफले में कितने शून्य (0) होंगे।(C) 10(D) of these (कोई नही) ।(B) 8 |
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Answer» There r 12 zeros So, option D is correct d is the best option option D is the answer option B is the correct answer d) is the right answer of the following d) is the right answer of the following |
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| 38. |
5.Find the numberThe ratio of the digits of a 3-digit number is 1:2:3. On adding 396 to the number, the digits are reversed. Find th:number. |
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Answer» I hope it was helpful |
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| 39. |
in the banks in question numbers 6 to 10:यदि1.1और , बहुपद+x+1 के शून्यक हों, तो +"a...होगा।11Ifa and B are the zeroes of the polynomial x2 + x + 1, then --+ |
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Answer» here a=1,b=1,c=1α+β=-b/a=-1/1=-1αβ=c/a=1/1=1therefore1/α+1/β=(α+β)/αβ=-1/1=-1so -1 is the correct answer sorry but I dont know the right answer |
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| 40. |
Q11.If a , B and y are the zerfind their sum andU we sum and product of the zeroes of the polynomial 5x2 + 2x - 10y are the zeroes of the cubic polynomial p(x)= 3x2 - 6x2 + 5x - 3, then,sum and product.012 |
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Answer» sum of zeros= -b/a= -(-6)/3 =6/3=2product of two = C/a= 5/3product of three= -d/a= -(-3)/3 =3/3=1in my mobile alpha, bita , gana sign not coming so I am posting in word 5 |
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| 41. |
Willa Wean-250 m)A person lost 4800 calories in 30 days. If the calory loss is uniform, calculate teloss of calory per day. |
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Answer» lost calories is 4800 in 30 day .per day divide by lost calories . 4800÷30=160 calory per day 160 is the correct answer 160 the correct answer of the given question |
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| 42. |
By selling an article for900, a person lost 10%. Find the CP. of the article.114 |
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| 43. |
Exercise 8.5I. By selling an article for900, a person lost 10%. Find the C.P of the article. |
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| 44. |
EQUATIONS6. The bill for a number of people for overnight stay .in 4800. If there were 4 more, the bill each personhad to pay would have reduced by 200. Find thenumber of people staying overnight. (ICSE 2000)16 |
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Answer» thank you |
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| 45. |
Hint: Fha he6. A car covers a distance of 175 km in one hour. How many hours will ftake to cover a distance of 56875 km at the same speed ?d the rost of one copy. |
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Answer» Speed of car 175 km/hrDistance = Speed*Time56875 = 175*TimeTime = 56875/175 = 325 hours |
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| 46. |
Sachin scored twice as many runs as Rahul.Together, their runs fell two short of a doublecentury. How many runs did each one score ? |
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Answer» Let Rahul scored x runsThen Sachin scored 2x runs As per given conditionx + 2x = 200 - 23x = 198x = 198/3 = 66 Rahul Scored = x = 66 runsSachin Scored = 2x = 66*2 = 132 runs |
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| 47. |
If (k-1, k) is one of the solutions for 2x+3y-5-0, then find 'k'. |
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| 48. |
foneother, find k.15,zero of the quadratic polynomial (R + k )r-+ 68x + 6k is reciprocal of the |
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| 49. |
Find the mean of first five prime no's in the natural number system. |
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Answer» first five prime numbers are 2,3,5,7 and 11 Sum = 2+3+5+7+11=28 Mean = Sum/5=28/5=5.6 |
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| 50. |
ProjectLook at the pattern.13135b.135• How many blue squares on the biggest square?• What can you say about the number pattern you have made?• Extend the pattern using the colour orange on your own squared paper. |
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Answer» 7square of natural no. 7 square of natural no. 7 square of natural no. 7 Square of natural no , is the correct answer. 7 square of natural no. is the right answer. |
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