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. |
रो.quभेg(3w,(sनी.106X5104q[LY]1R0&% |
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Answer» 105×106 = (100+5)(100+6) = 10000 + 500 + 600 + 30 = 11030 |
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| 2. |
(1) 210²-6V1018. Find the square root of 1024. Hence find the value V10.24 +V0.1024 + V10240000. |
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| 3. |
The average of firstnine prime numbers is |
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Answer» The answer is 100/9 or 11(1/9) Sum of first 9 prime numbers:2+3+5+7+11+13+17+19+23= 100 Average = 100/9 |
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| 4. |
3. In the given figure, find a + b.[Board Term I, 2012, Set-19]2+90 |
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| 5. |
6) Divide880 in the ratio1/5 : 1/6 |
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Answer» let the ratio be xso ratio are x/5 and x/6Therefore,x/6 + x/5 = 88011x/30 = 880x = (880×30)/11 = 80 × 30x = 2400 So, cost are x/6 = 2400/6 = 400x/5 = 2400/5 = 480 |
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| 6. |
The sum of the digits of a two digit number is 9. Also nine times this number is twice the number obtained byreversing the order of the digits. Find the numbers |
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| 7. |
Eive numbers arelast term is Ro. Find these num bersin conb |
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Answer» Continued proportion : Three numbers ‘a’, ‘b’ and ‘c’ are said to be continued proportion if a, b and c are in proportion. Thus, if a, b and c are in continued-proportion, then a,b,b,c are in proportion, that means Product of extremes = Product of means ⇒ a x c = b x b ⇒ a x c = b 2 Continued-proportion is also known as mean proportional .If ‘b’ is a mean proportional between a and c then b 2 = ac. Examples : 1)Find the mean proportional between 9 and 25.Solution : Let x be the mean proportional between 9 and 25.⇒ x 2 = 9 x 25 ⇒ x 2 = 225 ⇒ x = 15 Hence, the mean proportional between 9 and 25 is 15. |
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| 8. |
4If an 4n+1, find 3rd term. |
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Answer» a(n) = 4n + 1 a(3) = 4 × 3 + 1 a(3) = 12 + 1 = 13 |
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| 9. |
Find the sum of two odd consecutive numbers is 28. Find the numbers. |
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Answer» two consecutive number be 2x + 1 and 2x + 3 so,according to question2x + 1 + 2x + 3 = 284x + 4 = 284x = 24x = 6so number are2x + 1 = 2× 6 + 1 = 132x + 3 = 2× 6 + 3 = 15 |
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| 10. |
1. Find the number of subsets of A if A (x: x-4n+1, 2Sns5, neN) |
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| 11. |
1. Find the sum of the n terms of the series whose nth term are given below:() 3n2 +2n(iii) 2n + 3n(ii) 2n3 +4n+1(iv) 3 + n3 |
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Answer» here is a solution for similar question |
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| 12. |
7+7=14 |
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Answer» 7+7=14 answer of simple addition |
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| 13. |
remainder 3 are 11 15, 199921 If the numbers n -2, 4n -1 and 5n + 2 are in A.P, find the value ot n.A Pis 3 and their product is -35. Find the r |
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| 14. |
20) The angles of a quadrilateral are in AP, whose common.21) It the numbers n 2, 4n 1 and 5n +2 are in AP, thennmon difference. The firstQ.difference is 10. Find the angles.find the value of n. |
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| 15. |
21 If the numbers n - 2, 4n 1 and 5n + 2 are lil Al, liu22 The sum of three numbers in A.P. is 3 and their product is -35. Find the numbers.hor to the third number |
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Answer» thnxxx |
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| 16. |
1.3.5... (4n-17. Prove that2n2nCn 1.3.5.... (2n-1 |
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| 17. |
—= Tt jfij=g 6-=0 o g = Q= |
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Answer» a=-9, b=71a-(-b)=-9-(-71)=-9+71=62a+b=-9+71=62Thus a-(-b)=a+b |
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| 18. |
9 QE N such that lowset 3w 2Ntax: XE NB Des vibe the |
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Answer» How to calculate minimum and maximum value of trigonometric function 3N n 7N can be described as3N n 7N = {3X n 7X:x€N} |
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| 19. |
. If a and B are zeroes of 4x2 +3x + 7, then findthe value of + (Board Term I, 2015)11 |
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Answer» 1/3 + 1/4=4+3/12=7/12 4x^2+3x+7a & b are the zeros a+b= -3/4ab= 7/41/a+1/b=b+a/ab= -3/4/7/4= -3/7 is the answer a &b are zeros; a+b=-3/4; a=7/4; b+a/ab=-3/4/7/4=-3/7 -3/7 is the answer of question |
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| 20. |
\frac { x + 3 } { 3 } - \frac { x - 2 } { 2 } = 1 . \text { Hence find } p , \text { if } \frac { 1 } { x } + p = 1 |
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Answer» where is the answer |
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| 21. |
7.The fourth proportional to 14, 21 and 22 15 |
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Answer» Multiply 21 and 22 and then divide you get 33Oh.... |
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| 22. |
The mean of 9 numbers is 8. Eight of the numbersare 8, 7, 6, 8, 5, 6, 12 and 11. What is themedian of the nine numbers? |
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Answer» median of the nine number =8 8 is the correct answer of the given question |
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| 23. |
1. a. Two numbers are in the ratio 6:5. If the sum of the numbers is 110. find the numbers. |
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Answer» 6x+5x= 110x= 10numbers= 60,50 6x+5x=11011x=110x=110/11x=10number are:-60,50 |
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| 24. |
Example 18. The average of 11 numbers is 32. If the average of first 6 numbers is 34and that of last 6 numbers is 33, find the sixth number. |
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Answer» addition of 11 numbers = 32×11 = 352 addition of first 6 numbers = 6 × 34 = 204 addition of last 6 numbers = 6 × 33 = 198 sixth number = 204+198-352 = 402-352 = 50 |
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| 25. |
umbers is 6 tines their eometrie mean, show that numbersa anu Dnumbers is 6 times their geometric mean, show that numberstim28. The sum of twoare in the ratio (3+2/2):(3-22 |
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| 26. |
6. Three numbers are in the ratio of 4:5:6. If the sum of the largest and the smallestthe sum of the third and 55, find the numbers. |
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| 27. |
\left. \begin{array} { l } { ( i i ) 4 a + 5 a b - 7 \text { from } 3 a - 2 a b - 6 } \\ { ( i v ) 7 a ^ { 3 } b - 4 a ^ { 2 } b ^ { 2 } + 9 \text { from } 3 a ^ { 3 } b + 2 a ^ { 2 } b ^ { 2 } + 7 } \end{array} \right. |
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Answer» you want subtraction of them |
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| 28. |
(4*(a*b(-7*a^3*b^7)))/((-14*a^2*b^2)) |
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| 29. |
RT 31牙可TT RT可河言倆6) 言言 |
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| 30. |
numbers.6. The sum of two number is 99. If one exceeds the other by 9, find thein 63 find the numbers. |
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Answer» let no.s be x and yso x+y=99and x=y+9so y+9+y=992y=90y=45and x=y+9=45+9=54 |
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| 31. |
Fifth term of an A.P is 13 and sum of its first 15 terms is 285. Find 14th termof this A.P and also sum of its first n terms. |
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Answer» nth term = a + (n-1)d where a = first term and d = difference 5th term = 13 a + 4d = 13 Sn = n/2 (2a + (n-1)d) S15 = 285 = 15/2 (2a + 14d) 19 = 2/2 (a + 7d) a + 7d = 19 a + 7d - a - 4d = 19 - 13 3d = 6 d = 2 a + 8 = 13 a = 5 14th term = a + 13d = 5 + 13*2 = 5 + 26 = 31 Sn = n/2(2*5 + (n-1)2) = n(5+n-1) = n(4+n) If you find this answer helpful then like it. |
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| 32. |
14. If the nth term of an AP is (4n 1), find the sum of the first 15 terms of this AP. Also find the sumof is n terms. |
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| 33. |
If 3.X+1C, +P2.x = 4.*P,XE N, then x is equalto(a)2 (b)3(c) 4 (d) of these. |
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Answer» 3.x+1C2 + 2P2.x = 4.xP2 3*x*(x+1)/1.2 + 2! *x = 4*x(x - 1) 3x^2 + 3x + 4x = 8x^2 - 8x 5x^2 - 15x = 0 5x(x - 3) = 0 x =/= 0 Therefore,x = 3 (b) is correct option |
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| 34. |
os. sn-teaue of 2oo A-1Board Term-1, 2012, Set |
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Answer» Given Sin A = sqroot(3)/2 = P/H To find B use pythagoras theoramB*B = 2*2 - sqroot(3)*sqroot(3)B*B = 4 - 3 = 1B = 1 Cot A = B/P = 1/sqroot(3) Thus, 2Cot^2 A - 1 = 2*1/3 - 1 = 2/3 - 1= - 1/3 |
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| 35. |
Find P(-1) and (P2)) for p(x)=52-4x3+3 |
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Answer» p(-1)=5(-1)-4(-1)^2+3=-5-4+3=-9+3=-6p(2)=5*2-4*(2)^2+3=10-4*4+3=10-16+3=-6+3=-3 |
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| 36. |
2. In the gven figure. ABCD is a quadrilateral-shaped neld inwhich diagonal BD is 36 m. AL BD and CAI iBD such thatAL = 19 m and CM 1 m. Find the area of the neld14Sİfthe area of |
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| 37. |
Ex. 3. Find the fourth proportional to 4.8, 1.6, 5.4. |
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| 38. |
.Find the fourth proportional to the followinga. 24, 4,12b. 10, 2.5,1.2 |
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Answer» a) let fourth Proportional be x so, 24/4 = 12/x 6 = 12/x x = 12/6 x = 2 b) let fourth Proportional be x 10/2.5 = 1.2/x 100/25 = 1.2/x x = 1.2/4 x = 0.3 |
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| 39. |
. In the given figure, ABCD is a quadrilateral-shaped field in-which diagonalBD is 36 m. AL BD and CM丄BD such thatAL = 19 m and CM = 1 1 m. Find the area of the field. |
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| 40. |
1. Solve the equationsthe equations 3P+7=19 |
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Answer» 3p+7=193p = 19-73p = 12p = 12/3p= 4is the correct answer 3p+7=193p=19-73p=12p=4 3p+7=193p=19-7=12p=12/3=4 3p+7=193p=19-73p=12p=12/3p=4is right answer |
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| 41. |
olve the following pairs of equations by reducing them to a paireequations :1 1 13 |
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Answer» hit like if you find it useful |
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| 42. |
+Choose the correct alternative.(1) In the adjoining figure, if line m || line nand line p is a transversal then find x.(A) 135° (B) 90° (C) 45° (D) 40° |
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Answer» 3x+x = 180( co interior angle) 4x= 180x= 180/4x= 45 90 is the answer of your questions 45 is the answer of your questions by the figure,3x+x=180'4x=180'x=180/4x=45' 45 is the correct answer 3x, x co-interior anglessum of 3x,x is 180'3x+x=180'4x=180'x=180'/4x=45' 3×+×=180(co interior angle 4×=180x=180/4×=45 |
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| 43. |
ही... कह L ०८हि ) 19 syकह ७४ ०५ ७ -के Al ek 1 |
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Answer» बचा हुआ भाग होगा= πr^2-(4*4)= 22/7*14*14-(16)22*28-16616-16= 600cm^2 |
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| 44. |
olowing11 Find the intersection of the following sets.A= { 1,2,4,5, 7), B={2,3,4,8) |
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Answer» According to questionA ∩B = { 2, 4} According to question A intersection B = {2,4} |
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| 45. |
den1. Find the fourth proportional to the numbers 6. 8 and 15. |
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| 46. |
YTT TT TardTITATIT6. Find the fourth proportional of 3, 12 and 4. |
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Answer» 3:12::4:x3/12= 4/xx= 16answer |
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| 47. |
5 10 पैसे, ₹ 2 का कौनसा भाग है?1 2(A) 20 (B) 51© 1 B |
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Answer» Rs 2 = 200 paiseThen,10/200 = 1/20 (A) correct option |
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| 48. |
Write the following sets in rosteform :10) A = {X: 2x + 3 = 11} |
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Answer» {1,2,3,4} is the correct answer of the given question |
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| 49. |
If mean of 15 terms is 6, find the sum of all terms. |
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Answer» Mean = sum of terms/ No. of term 6 = sum of terms /15 Sum of terms = 90 |
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| 50. |
4 marksDx is a set of factors of ID and yisalSet os fadors of 36, then find Setsaux and sense by using veen diagramand comment? |
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