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. |
16 x y \times 18 x y |
|
Answer» First multiply 16 with 18 to get 288 .Then xy × xy to get xy whole square.So the answer is 288 (xy)whole square |
|
| 2. |
S III MATHEMATICSEXERCISE 4.5Draw the following1/ The square READ with RE = 5.1 cm.A rhombus whose diagonals are 5.2 cm and 6.4 cm long.3., A rectangle with adjacent sides of lengths 5 cm and 4 cm.A parallelogram OKAY where OK-5.5 cm and KA 4.2mWHAT HAVE WE DISCUSSED?I. Fle meaurement cn determine a quadrilateral uniquely.2. A quadrilateral can be constructed unioureral can be constructed uniquely if the leneths of its four sideseus ides aan |
| Answer» | |
| 3. |
(11)W)02un(9) The area of a rhombus is half theproduct of its diagonals. Write thisresult as an algebraic expression.producttor of a square with |
|
Answer» area of rhombus is 1/2×BD×AC |
|
| 4. |
ATİCS(i) (31+4+58-i x524. Evaluate (i) |
|
Answer» 8^-1*5^3 ÷ 2^-4 = (2)^-3 * 125 * (2)^4= (2)^[-3+4]*125= 125*2= 250 ans |
|
| 5. |
. When x5,12 3x +-, 1 +-+-2 are multiplied, theproduct is a polynomial of degree. |
|
Answer» Degree of polynomial is higehst power of the polynomial . Observe the terms x power 5 , x , and 1 When they multiplied we get the highest power. So, degree of polynomial is 6 |
|
| 6. |
log5 (243) log(243)log(3v3) |
| Answer» | |
| 7. |
3.a) If x - 4, x, x +8 are three consecutiveterms of a GP, then find them also findpreceding and succeeding terms ofthem. |
| Answer» | |
| 8. |
The sum of three consecutive numbers is 8I.Find the numbers. |
| Answer» | |
| 9. |
Do all the parts:(a) If the sum of first n terms of an A.P. is 4n n2What is the first term? What is the sum of firsttwo terms? Also find 2nd, 3rd, 10th and nth terms4of A.P |
| Answer» | |
| 10. |
x ^ { 2 } + 18 x y + z ^ { 2 } - 7 \text { to get } x ^ { 2 } + 10 x y - 2 z ^ { 2 } + 1 ? |
| Answer» | |
| 11. |
42, It the sum of the first n terms of an A.P, is An-, what is the first term? What is thesum of first two terms? What is the second term? Similarly, find the third, the tenthINCERTand the nth terms. |
| Answer» | |
| 12. |
ules90,showthateach of the temainingeussures 90 |
|
Answer» Please post complete question |
|
| 13. |
Find the productWrite the integer for the following: |
|
Answer» (-8)×[5+(-5)]=-8×0(+5&-5will be cancelled)0(anything mutiplied with 0 =0 |
|
| 14. |
If the sum of the first n terms of an AP is 4n-n^2, what is the first term (remember the first term is S)? What is the sum of first two terms? What is the second term? Similarly, find the 3rd, the 10th and the nth terms. |
|
Answer» tq Thanks |
|
| 15. |
11. If the sum of the first n terms of an AP is 4n-n', what is the first term (that is S,)? Whatis the sum of first two terms? What is the second term? Similarly, find the 3rd, the 10th andthe nth terms. |
| Answer» | |
| 16. |
The sum of an infinite geometric series is 9.The sum of its first two terms is 5. Find thecommon ratio |
| Answer» | |
| 17. |
The sum of an infinite geometric series is 9.The sum of its first two terms is 5. Find thecommon ratio. |
| Answer» | |
| 18. |
sum of an infinite geometric progression is 15and the sum of the squares of these terms is 45ind the G.P.The |
|
Answer» write three terms of the GP when the first term a and the common ratio r are given a=4;r=3 |
|
| 19. |
12\frac{x}{1-x^{2}}+\frac{x^{2}}{1-x^{4}}+\frac{x^{4}}{1-x^{8}}+of the terms< 1 is+-+infinite terms ifFind the sum of the terms+1-' |
| Answer» | |
| 20. |
Sum of the infinite terms of the Gis 3. [True/False]Th |
|
Answer» the sum of infinite terms is given by a/1-rhere, first term, a=-3common ratio, r=-6/-3=2so, sum=-3/1-2=3so it's true |
|
| 21. |
(ii) v3+upto n and infinite terms.W3 3v3 |
| Answer» | |
| 22. |
3. Determine the integer,a. whose product with (-7) is 154.b. when it is divided by (-9), the answer is 23.c. when it is divided by (-17), the answer is 21.d. whose product with (-13) is –325. |
|
Answer» A= -22 B= -207C = -357 answer no. (a) is -21(b) = -207(c) = -357(d) =26 (a) -22(b) -207(c)-357(d) 25 -22-207-35725.... |
|
| 23. |
b.Explain Digital Media.es. |
|
Answer» Digital Media is a blend of technology and content, and building digital media products requires teams of professionals with diverse skills, including technical skills, artistic skills, analytical and production coordination skills. |
|
| 24. |
If the second term of a GP is 2 and the sum ofsecSUits infinite terms is 8, then the GP is |
| Answer» | |
| 25. |
Find value of Dar Es |
|
Answer» 1/(root(3) + root(2)) - 2/(root(5) - root(3)) - 3/root(2) - root(5) Rationalise all terms separately = (root(3)+root(2))^2 /(3 - 2) - 2(root(5) - root(3))^2/(5-3) - 3(root(2) - root(5))/(2 - 5) = [3 + 2 + 2root(6) - (5 + 3 - 2root(15)) + (2 + 5 - 2root(10))] = 5 + 2root(6) - 8 + 2root(15) + 7 - 2root(10) = 4 + 2root(6) - 2root(10) + 2root(15) |
|
| 26. |
\frac{x-2}{3}-\frac{3 x+5}{6}=-\frac{5 x-7}{18} |
|
Answer» thanks |
|
| 27. |
ch had Rs 2000 with him. He spent 15% of the money in buying aSuresshirt. How much did he spend? |
|
Answer» hit like if you find it useful |
|
| 28. |
Find integer whose product with (-1) is 37. |
|
Answer» (-37) I think so....... -37 is the correct answer of the given -37 is correct answer of this question. |
|
| 29. |
3) Let Ri and Rz are the remainders when the polynomials X3-+2x2-5ax-7 andX3+ax2-12x+6 are divided by x+1 and x-2 respectively. If 2R1 + R2 = 6, findvalue of a. I 2nd 4v3 Зу-1 hv x-1 by long division and also by |
| Answer» | |
| 30. |
3. Express the following in polar form:() sin 60°+ i cos 60°sin 120°- i cos 1205 (Cos 300 +i sin 30")(cos 300° +i sin 30) |
|
Answer» 1)√3/2+i*1/22)1/2+i*√3/23)5/2(cos(270+30)+isin30)5/2(√3/2+i*1/2)5√3/4+i*5/4 |
|
| 31. |
divide 51 into two parts whose product is 378 |
|
Answer» suppose parts are x and 51-xso x(51-x)=37851x-x^2=378x^2-51x+378=0(x-42)(x-9)=0so x=9 or 42so parts are 9 and 42 |
|
| 32. |
\left(\frac{x m}{x n}\right)^{m+n-l} \times\left(\frac{x^{n}}{x l}\right)^{n+\l-m} \times\left(\frac{x l}{x m}\right) l+m-n,then prove that = 1 |
| Answer» | |
| 33. |
\tan 23 ^ { \circ } + \tan 22 ^ { \circ } + \tan 23 ^ { \circ } \tan 22 ^ { \circ } = 1 |
| Answer» | |
| 34. |
In the given figure, 1ll m and t is a transversal. If 1 and 22 arein the ratio 5: 7, find the measure of each of the angles<1, 22, 23 and 18.2 |
|
Answer» thanks for the answer |
|
| 35. |
4sin θ _ 3 sin θ2sin θ + 6 cos θ11. If 3 coto-2 , find the value of |
| Answer» | |
| 36. |
Find the integer whose product with -1 is:a. -30b. 56 |
|
Answer» I think 56 is the correct answer -30 is the correct answer of the following question a. -30 = 30(-30) × 30 = (-1)b. 56 = (-56)56 × (-56) = (-1) -30 is correct answer of 1st question _ 30 age correct answer.......... |
|
| 37. |
Hence, x) LShow that f(x) = [x] is not continuous at x = n, where n is an integer.REt /to Wehavef(n) =[n]=n; |
|
Answer» i) f(x) = [x], for all x in R ==> By the definition of greatest integer function: If x lies between two successive integers, then f(x) = least integer of them. ii) So, at x = 2, f(x) = [2] = 2 -------- (1) Left side limit (x ---> 2-h): f(x) = [2 - h] = 1 ----- (2) {Since (2 - h) lies between 1 & 2; and the least being 1} Right side limit (x --> 2+h): f(x) = [2 + h] = 2 -------- (3) {Since (2+h) lies between 2 & 3; and the least being 2} iii) Thus from the above 3 equations, left side limit is not equal to right side limit. So limit of the function does not exist. Hence it is discontinuous at x = 2 So this is not derivable at x = 2 Hence Proved. |
|
| 38. |
l Quotient x Divisor + RemainderILLUSTRATION 3 Divide the polynomial u(x)D(x) = 3x2 + x-1. Also,find the quotient and rennainder.SOLUTION We have, |
| Answer» | |
| 39. |
(c) Six times a number x is equal to 12.(e) Quotient of x divided by 4 is 8. |
|
Answer» 6x = 12 so x = 2 x/4 = 8 so x = 32 |
|
| 40. |
8. If tan? 0 + cot? o = 2,0 is an acute angle,then tane + coto is equal to(A) 2(C)4(D) 8(B)3 |
|
Answer» tan^2x+cot^2x = 2 ∴tan^2x+1/tan^2x+2 = 2+2 ∴(tanx+1/tanx)^2 = 4 ∴(sinx/cosx+cosx/sinx)^2 = 4 ∴(sin^2x+cos^2x/sinxcosx)^2 = 4 ∴1/sin^2x. cos^2x = 4 ∴x = nπ/2−π/4(n∈Z) Therefore,Value of tan^3 x + cot^2 x= tan^3 π/4 + cot^2 π/4= 1 + 1 = 2 |
|
| 41. |
Exercise 1.1A man bought a house for Rs 10000 and spent Rs 2000 on its repairs. If bsells it for Rs 12960, find his profit percent. |
| Answer» | |
| 42. |
(A) 22: 13(B) 13: 22In two circles, the arcs of same lengths subtendangles 65° and 110 at the centre. The ratio oftheir radii are:(A) 22 13(B)13 : 22(D) of these |
| Answer» | |
| 43. |
11. The 17m term of an AP exceeds its 10h term by 7. Find the common difference. |
| Answer» | |
| 44. |
The sum of the first three terms of an AP is 33. If the product of the first and third termexceeds the 2nd term by 29. Find theAP |
|
Answer» Let the first term be a ,The common difference be d .Then the sum of first three terms = a+a+d+a+2d = 3a+3d . Given 3(a+d) = 33 => a+d = 11 . => d =11-a Therefore ,Second term of A.P = 11 . The product of first and third terms = (a)(a+2d) = a(a+2(11-a) = a(a+22-2a) = a(22-a) = 22a-a² ATQ ---> Given 22a-a²-29= a+d => 22a-a²-29=11 => 22a-a² -40 =0 => a²-22a+40=0 => a²-20a-2a+40=0 => a(a-20)-2(a-20) =0 => a= 2 or 20. Finding common difference for a = 211-2=9 Finding Common difference for a =2011-20=-9 . Now The possible A .P 's are 1) 2,11,20,29,38,47,56,65,74.....2) 20,11,2,-7,-16,-25,-34,-43,-52,-61,-70 ....... |
|
| 45. |
12-22b)12४- (गी।! - |
|
Answer» 1.-5, 2.-7,3.-4, 4.-11 |
|
| 46. |
2. Gives that sin (A + B) = sin A. Cos B + COS A.sin B, then the value of sin 75:V3+1() 22(c)2(d) 22 |
|
Answer» C (2) is the correct answer. 2 is the best answer Let A=45, B=30 b is the best answer 2 is the correct answer option b is the correct answer sin(A+B)=sinAcosB+cosAsinAA=45, B= 30°sin(75)=(sin45+30)=sin45 cos30+ cos45 sin30=1/√2(√3/2)+1/√2×1/2= √3/2√2+1/2√2=(√3+1)/2√2option b is right (c) is the correct answer b. √3+1/2√2 the correct answer c is the right answers (d) 2√2 answer your question c.(2) is the right answer |
|
| 47. |
(C) 6.75| 10A, B से 5 साल बड़ा है और C, A से 3 साल छोटा है। उनकी कलउम्र 67 है। B की आयु है।1622(B)20 |
| Answer» | |
| 48. |
(A) 4(C) 22(B) 12(D) 44 |
|
Answer» यदि आप एक घूर्णन समन्वय प्रणाली में स्विच करते हैं जिसमें घंटे का हाथ स्थिर रहता है, तो मिनट का हाथ केवल 11 चक्कर लगाता है, और इसलिए यह 22 घंटे के हाथ के साथ समकोण पर है। 24 घंटे के दिन में आपको 2 × 22 = 44 मिलते हैं। गणितीय रूप से, इसे निम्न प्रकार से किया जा सकता है: मिनट का हाथ 60 मिनट में 360 डिग्री चलता है |
|
| 49. |
22. B, C, E, G,?a) K(9ICOo |
|
Answer» Option AasK is the next word The answer is K option b Let the common ratio be xPresent age of Maya= 6xPresent age of Shadow =5xAge of Maya after 15years=6x+15Age of Shadow after 15 years=5x+15Ratio of their ages after 15 years =9:4According to the problem,(6x+15)/(5x+15)=9/4Solve the equationAfter getting x multiply it by 6.That is maya age. =B2, C3, D4, E5, F6, G7, H8, I9=B +1 =C=C +2 =E=E +2=G=G +2=I......(C) |
|
| 50. |
L.2(a) Î = 22(b) LALO LCMB(c) AL = CM |
| Answer» | |