Saved Bookmarks
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 value (S) of P, if the distance between the points (P, 4) and (0, 1) is 5. |
| Answer» | |
| 2. |
8. If the mth term of an A.P. isand the nth term is , then prove thatthe sum to mn terms ismn + 1___ , where m n.2 |
| Answer» | |
| 3. |
The 17 th term of an AP exceeds its 10th term by 7. Find the common difference, |
|
Answer» Let a be the first term and d the common difference. It is given a_{17} - a_{10} = 7 (a + 16d) - (a + 9d) = 7 7d = 7 d = 1 Thus, the common difference is 7. a 17 - a 10 = 7; a + 16d = a + 9d ; 7 16d - 9d =7; 7d = 7, d = 7/7=1 |
|
| 4. |
Find tieSUDetermine an ap in which 3rd term is 16 and 7thterm exceeds the 5 th term by 12that (m n. |
| Answer» | |
| 5. |
e whether the product of the maricesof the product.orderMN, where M [m,Ns |
| Answer» | |
| 6. |
. Find the area between the curves y x and y |
| Answer» | |
| 7. |
(-40)/5 |
|
Answer» (-40)÷5=-8as 5*8=40 (-40)/5=-8as 5*8=40 the answer 40 is the right answer |
|
| 8. |
Find theThe area of two similar triangles are 25 sq. cm and 121 sq. cm.ratio of their corresponding sides. |
|
Answer» if two triangles are similar then the square of their side are in ratio. so, (a)2 :(y)2=√25 :121 =√25:121=5: 11 is required ratio |
|
| 9. |
Find the integrals of the fu1. sin^2 (2x +5) |
|
Answer» Is question ka answer glat hao |
|
| 10. |
Example 11.10)-4x+5 and /()-3, then find fu) |
|
Answer» tq bro |
|
| 11. |
5०: U guifabls propely and Jind fui e e e Bi s 4 |
|
Answer» 3/4* 1/2 -1/5*3/43/8 - 3/2015-6/409/400.225 |
|
| 12. |
थी + है 3०8०3 -। | (१०(Vo ¥¥o00 Fu o] हैT+7¥25500 - y 405$a3%90 1= ¥ 4o YyY599Wy |
| Answer» | |
| 13. |
1.Find the LCM of 96 and 360 by usir FuTheorem of Arithmetic. |
|
Answer» It is similar to the prime factorization of 96 & 360. Just find out the prime factors of these nos. as while prime factorizing and multiply them. You'll get 1440 as the ans. 2 | 96,3602 | 48,1802 | 24,903 | 12,454 | 4,1515| 1,1LCM =2*2*2*3*4*15 =1440 |
|
| 14. |
Find a rational number lying between and- |
|
Answer» three rationalnumbers between 1/3 and 1/2making the denominator same1/3=8/24(equivalent fraction)1/2=12/24(also equivalent fraction)three rational numbers between 8/24 and 12/24 are9/24,10/24,11/24 |
|
| 15. |
E TUVE Vetween U.2101 and 0.2222 ... = 0.2.9. Find a rational number and also an irrational number lying between the numbers0.3030030003 ... and 0.3010010001 ... |
| Answer» | |
| 16. |
11.Is cos60 is greater or cos600? Justify youranswer |
|
Answer» 1. CosФ = adjacent side / hypotenuse in a right angle triangle = a/b. When angleФ = 0, a = b and asФ increases 'a' remains same and b,the hypotenuse increases. So cosФ decreases continuously asФ increasestillФ = 90 deg. 2. The graph of cosФ shows the wave like property of Cos and it decreases betweenФ = 0 toФ = 180 deg. So COS 6 is greater than COS 60. Cos6 has greater value than cos60. Because value of cos decrease from 1 to 0 in interval 0 to 90. |
|
| 17. |
e whether the following are true or false. Justify your answer.i) The value of tan A is always less than 1.12i)sec A-for some value of angle A.in 11 |
|
Answer» False, because tan 45 is 1True, sec A can be 12/5 |
|
| 18. |
The rational number which is not lying between 5/16 and 1/2 is _____ . |
|
Answer» There are infinite rational number which are not between them, so, take 1 , 2.. |
|
| 19. |
26 The 8th term of an AP is 31. If its 15th term exceeds its 11th term by 16, find t |
|
Answer» since A.P series is like this a, (a+d), (a+2d), (a+3d), (a+4d), ……………………………. , {a+(n-1)d} and nth term is given by = {a+(n-1)d} so 8th term will be a+7d , 11th term will be a+10d and 15th term will be a+14d so as per qn. a+7d= 31 ……………… (1) & a+14d = a+10d +16 therefore 4d = 16 & d = 4 ……………….. (2) use by using (2) in (1) a + 7 *4 = 31 we get a = 31–28 = 3 so the required A.P will be 3, 7, 11, 15, 19, 23, Like my answer if you find it useful! |
|
| 20. |
26. Find the values of a, b and c such that thenumbers a, 10, b, c, 31 are in APCBSE 2012] |
|
Answer» Please like the solution 👍 ✔️ |
|
| 21. |
3. Find a rational number lying between4 and 3 (i) 3 and 2(iv) 0.75 and 1.2 (v) -1 and(i) and3 ,(11)and(ii) 1.3 and 1.4(vi)-3 and-E42 |
| Answer» | |
| 22. |
(viil) quotient is an irrational number.7. Give two rational numbers lying between 0.232332333233332 .. and0.212112111211112an 515115111511115 ... and 05353 |
|
Answer» the above answer is correct u can follow it |
|
| 23. |
Use of calculator is not permitted.Section AQuestion numbers 1 to 4 carry 1 mark each.7 61. The rational number lying betweenand:192041315(d) of these2. If in a certain code, INDIA is written as JMEHB, then what will be DELHI in that(a) EDMIJ(b) EDMGJ(c) EFMIJ (d) of these3. The value off )-(?)115 (253. The value of(2-iS:25264292621261226a) |
|
Answer» 1)7/8=0.875 6/7=0.8571 13/15=0.867 so 13/15 is between 7/8 and 6/7 2) INDIA (I+1)J(N-1)M(D+1)E(I-1)H(A+1)Bsame way for DELHI(D+1)E(E-1)D(L+1)M(H-1)G(I+1)Jso answer is EDMGJ 3) ((5/6)^(-1) - (25/4)^(-1))^(-1) =(6/5-4/25)^(-1) =((30-4)/25)^(-1) =25/26 b) EDMGJ is answer of question number 2 thanks |
|
| 24. |
Find the 30th term of the 10,7,4,...... |
| Answer» | |
| 25. |
Prove that be nth term of an A.P can not be n2 +1.Justify your answerBoard Term-2 2015]3 |
|
Answer» The nth term of an AP can’t be n^2+1. Justification: Substitute n= 1, 2, 3,... in the series would be 12+ 1, 22+ 1, 32+ 1, …...... 2, 5,10,.............. Difference between first and second term = 5 - 2 = 3. And difference between second and third term = 10 - 5 = 5 Their common difference is not equal. In A.P,common difference should not be equal, so this series can’t be A.P. Thus, the nthterm of an A.P. can’t be n^2+ 1. |
|
| 26. |
Find the 30th term of the A.P: 10,7,4, |
|
Answer» AP is 10, 7, 4.... So, a = 10 and d = 7 - 10 = -3 a(30) = a + 29d = 10 + 29 × (-3) = 10 - 87 = -77 |
|
| 27. |
Write each of the operations below as an algebraic expressions, state which are polynomials and explain why?i) Sum of a number and its reciprocal.ii) Sum of a number and its square rootiii) Product of the sum and difference of a number and its squareroot. |
| Answer» | |
| 28. |
5. A person walks from A to B at a uniform speed of 6km/hr and returns from B to A at 3 kThe average speed of the whole journey will beA) 3B) 4C) 5D) 6 |
| Answer» | |
| 29. |
Find the integrals of the functi1. sin2 (2x +5) |
| Answer» | |
| 30. |
Q9.Is 144 a term of the AP 3,7,11...Justify your answer. |
|
Answer» a = 3d = 7 - 3 = 4an = 144an = a + (n - 1)d144 = 3 + (n - 1)4144 - 3 = 4n - 4141 = 4n - 44n = 145n = 145/4n is not an integer. ∴ 144 is not a term of the A. P |
|
| 31. |
7th term of an Aritihmetic Progression is equal to 11 times its 11th termf 7 times theshow that its 1sth term is zero. Can you find the first term and the commondifference ? Justify your answer. |
| Answer» | |
| 32. |
Is 0 a term of the A.P.:- 31,28,25,...? Justify your answer. |
|
Answer» a=31 d=28-31=-3 t(n) = a + (n-1) d 0 = 31 + (n-1)(-3) -31 = - 3(n-1) 31/3 = n-1 n = (31+3)/3 n = 34/3 as n is fractional therefore 0 is not a term of the AP. |
|
| 33. |
Q. 5 Is 0 a term of the AP 31, 28, 25,... Justify your answer. |
|
Answer» Here a= 31 ,d=28-31=-3let an be 0an=a+(n-1)d0=31+(3-1)-30=31-60=25so 0 is the term 25 |
|
| 34. |
3, Is 144 a term of the A.P. 3,7, 11.,....? Justify your answer. |
| Answer» | |
| 35. |
How long will a lady take tofield diagonally at the rate of 20 m/min? |
| Answer» | |
| 36. |
EXAMPLE 1 Find a rational number lying between and |
| Answer» | |
| 37. |
6. If a rectangle of area 112 sq cm is cutdiagonally, what is the area of eachtriangle formed? Draw a diagram. |
|
Answer» Area = 112 sq. cmWhen area is halved,1/2*112= 56 sq. cm |
|
| 38. |
, then evaluate/3cosec-e-sec" 0cosec" θ t.sec" θRO, 11 tan 0 |
| Answer» | |
| 39. |
13. sec 0-cosec 6 рди tan 0 + cot 0.A0 & 1 |
| Answer» | |
| 40. |
zack measured a rectangular garden at the park.The longer sides each measured 15 feet and were 3 times longer than the shorter sides.If Zack walked all the way around the garden,how far did he walk. |
|
Answer» longer side=15 feetshorter side=5 feet perimeter=2(l+b)=2(15+5)=2*20=40 feet |
|
| 41. |
Ans.23, 11]11. There are three daily newspapers-A, B. C. The number of readers of one, two or all of these dailynewspapers is as follows:N 1,000,(AB) 25Find the number of the persons who read (a) only A. (b) at least two daily newspapers, and (c) B and Conly(A) - 70,(AC) 35.(B)(BC)85.30(C) 65(ABC)# 15. |
|
Answer» Given,N = 1000(A) = 70, (B) = 85, (c) = 65, (AB) = 25, (AC) = 35, (BC) = 30, (ABC) = 15 (a) Number of persons who read A only = (A) = 70 (b) Atleast 2 daily newspapers= (AB) + (AC) + (BC) + (ABC) = 25 + 35 + 30 + 15= 105 (c) B and C only= (BC) = 30 |
|
| 42. |
. Person A walks along the path joining points (3.0) and (1.3) and person B walksalong the path joining points (0, 4) and (1.5). Represent this situationgeometrically |
| Answer» | |
| 43. |
Vikram wishes to fit three rods together in the shape of a right triangle. The hypotenuse is to be 2 cmlonger than the base and 4 cm longer than the altitude. What should be the lengths of the rods? |
| Answer» | |
| 44. |
Joining the PomL18. Show that the points (1. 7). (4, 2). .-ha19. Find the zeros of the quadratic polynomiadratic polynomial G-3-7x andzeros and the coefficients.ORIf α and β are thequadratic polynomial whose zeros are a,n Fizeros of the polynomial 6y2-7y + 2,of the polynomial 6-7 + 2, find aandβanerloQ and DF llot, show that EFlIQR.ORFig.3In Fig. ,is a point on the side AD produced of a parallelogramABCD and BE intersects CD at F. Show that AABE ACFB.e consists of tossing a one rupee coin 3 times andns if all the tosses1 gam |
|
Answer» ∆PQR s ED || QO .°. PD/DO = PE/EQ ( from formula )-------(1) ∆POR s DF || OR .°. PD/DO = PF/FR ( from formula )........(2) from (1) and (2) we get PE/EQ = PF/FR .°. EF || QR |
|
| 45. |
2. सभी खण्ड कीजिए -(1) यदि P (r) = ' +:-7 और 4 (x) = x + x + 3x +4 हो तोP(x) +q(४) कितना होगा।(2) ++1 में से क्या घटायें कि शेषफल (x-2) प्राप्त हो।(3) एक ताड़ के वृक्ष की छाया 7/3मीटर लम्बी है। यदि ताड़ केवृक्ष की ऊँचाई 7 मीटर हो, तो उस समय सूर्य का उन्नयनकोण क्या होगा?(4) एक संख्या को उसके दो-तिहाई में जोड़ने पर 35 प्राप्त होताहै, वह क्या संख्या होगी?(5) ..' +4b* को पूर्ण वर्ग बनाने के लिए क्या जोड़ेंगे?(6) 5'125 को लघुगणीय रूप में लिखिए।(7) log = =-3 को घातांक रूप में लिखिए।सभी खण्ड कीजिए -(i) गुणनखण्ड कीजिए -24.3-65.x + 21(ii) यदि P (x) =' +4x + ar+5 का एक गुणनखण्ड x+5 है, तब'a' का मान ज्ञात कीजिए।(iii) सिद्ध कीजिए -log 18 - log is + log , 31(iv) सिद्ध कीजिए कि-Sin (270°+ 0) Sin (90°+ 9) - Cos 270°+ 0) Cos (90°-0)+1=0 |
| Answer» | |
| 46. |
Write algebraic expressions for each of thefollowing.(i) Suresh is half of Punita's age. If Punita is x,years old, how old is Suresh? |
|
Answer» punita is x years oldsuresh is half of punita age so suresh= x/2 |
|
| 47. |
Using integrals find the area enclosedby the circle x2 + y2 |
| Answer» | |
| 48. |
Example 1 Find the area enclosed by the circle x2a |
| Answer» | |
| 49. |
9. Is (i) log 2 rational or irrational? Justify your answer |
|
Answer» log 2 is irrational Proof :Let log 2 be rational So, log 2 = p/q 2 = e^ ( p/q) We know e^(p/q) is irrational for any rational power Therefore a contradiction as LHS is rational and RHS is irrational. So, log 2 is irrational |
|
| 50. |
3 \operatorname { log } 4 - 2 \operatorname { log } 6 + \operatorname { log } ( 18 ) ^ { 3 / 2 } |
|
Answer» 3log4 - 2log6 +log(18)^(3/2) = log(4)³ - log6² + log(18)^3/2)= log[(64×18^(3/2))/36)]= log[16×2×√18)= log[32] + log[√18]= 5log2 + 1/2log18= 5log2 + 1/2log[3*3*2]=5log2 + 1/2[2log3+log2]= 11/2*log[2] + log[3] |
|