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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. |
(2) (7x + 8y) |
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Answer» (7x + 8y)³ (7x)³ + (8y)³ + 3×(7x)×(8y) ( 7x + 8y) 343x³ + 512y³ + 168xy ( 7x + 8y) 343x³ + 512y³ + 1176x²y + 1344xy² |
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| 2. |
7. Which fraction is greater :12- orWINolalw158. Which fraction is smaller : |
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Answer» a) 2/3 or 3/5lcm of 3&5 is 15=2×5/3×5 or 3×3/5×3=10/15 or 9/15=10/15 > 9/15=2/3 > 3/5 b)12/15 or 6/5LCM of 15 & 5 is 15=12/15 or 6×3/5×3=12/15 or 18/15=12/15 < 18/15=12/15 < 6/5 8/9 or 3/36lcm of 9 & 36 is 36=8×4/9×4 or 3/36=32/36 or 3/36=32/36 > 3/36=8/9 > 3/36 3/5 or 18/30lcm of 5 and 30 is 30=3×6/5×6 & 18/30=18/30 & 18/30=18/30 = 18/30=3/5 = 18/30 please like my answer |
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| 3. |
The denominater of a fraction is greater than its numerator by 12.If the numeratoris decreased by 2 and the denominator is increased by 7, the new fraction isequivalent with.Find the fraction. |
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Answer» Let the numerator be x. Denomination= x+12 New Numerator= N' = x-2 New denominator= D' = (x+12)+7 =x+19 So the New fraction is N'/D' =1/2 2 N' = D' 2(x-2)= x+19 2x-4=x+19x=23 So the original fraction is 23/35 . |
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| 4. |
- The product of twofractions is 14 and theirquotient is . The greaterfraction is:24 |
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Answer» axd=14/15; a/d=35/24; a=(35/25)d; (35/25)d×d=14/25, d^2=14/15 × 25/35; d=5/7; axd=14/25; a=14/25×5/7=2/3; d=5/7; a=2/3 x=7/6Y=4/5Is correct answer let 1st no = x 2nd no yxy= 14/15----(1)x/y= 35/24x= 35/24y----(2)putting the value of X in eq 135/24y^2= 14/15y^2= 14×35/15×24=y=+-√14×35/15×24=-+ 4/5so X= 35/24y= 35×4/5×24= 7/6so 1st no = 7/62nd no = 4/5 |
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| 5. |
Esamine whether i s a terminating decimal or not without performingision. |
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Answer» 17/30=17/(2x3x5)Since there is 3 in denominator so, the given fraction is non terminating |
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| 6. |
12. Oranges are bought at 6 for 20 and sold at 4 for 186 for 20 and sold at 4 for13. A vendor purchased bananas at 40 per dozen and sol18. Find the gain or loss per |
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| 7. |
A fruit vendor purchased bananas at 5 for 4and sold them at 4 for 5, Find the following:a. His gain per centb. The number of bananas he should sell tomake a profit of45 |
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Answer» cost price per banana is = 4/5 = 0.80selling price per banana is = 5/4 = 1.25 so, % gain on 1 banana is = (1.25-0.80)*100/0.80 = 56 .25% now for one banana gain is = 0.45 rs so, no. of bananas to make a gain of 45r = 45/0.45 = 100 |
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| 8. |
Bx. 10. A vendor bought bananas at 6 for Rs. 10 and sold them at 4 for Rs. 6. Findhis gain or loss percent. |
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Answer» thanks |
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| 9. |
EXERCISE10.Check whether the following are quadratic equations:0 (x+1)^2 = 2(x-3)(ii) x^2-2x |
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| 10. |
datiawewNumber of girls in a familyNumber of families475814211Compute the probability of a family, chosen at random, having2 girls(o) 1 girl(ii) NogirlAlso check whether the sum of these probabilities is 1. |
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| 11. |
|2764. निम्न पाई चार्ट भारतदेता है। सभी कप-12,40,000 है।(230%|| Hulk, I 20पस ५ वर्ग मीटर की दर से समतल करनेको तागत क्या है?(A) 200 (B) 210 2202753, कितने मूलधन का 6% वार्षिक दर से 10 वर्ष में साधारण ब्याज216| 120 प्राप्त होता है?(A) 120 (B)210 (2) 200 (D)* 1802754, 16, 24, 36, 52 और 54 का ल. स. है :(A) 432 (B) 5618 (C) 5616 NO)52162255. + (18-6)x9 =?(A)115 (B) 100 (C) 110 (B) 113b756. यदि 721 +722 1 723 +724 को 25 से विभाजित किया जाताहै, तो शेष क्या बचेगा? ।4A) 77 (B) 17 (C) 5 () 07. दिए हुए प्रश्न को पढे और तय करें कि कौन सी सूचना प्रश्न का उत्तर ।देने के लिए पर्याप्त है?ACD का मान कितना है?सूचना ।LMN-5DEIकिस कंपनी द्वारा से(A) ABC |2765. एक आयत की लंबापरिमाप 96 है।(A) 482766, 10km/h की गतिदेर से पहुंची। अगली ।फिर भी वह 5 मिनटको दूरी कितनी है?(A) 30ो (B)2767. प्रत्येक माह कृतिकाकोण का रो परेल630 की बचत का |
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Answer» 500 - 700 is equal to 5 minus 3 is the answer of the third question third question ee question ki answer pettali |
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| 12. |
If 3 is added to the14 In a fraction, twice the numerator is 2 more than the denominator.numerator and to the denominator, the new fraction is.Find the original fraction. |
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| 13. |
Mark () against the correct answer in each of the following:1. The difference between the local value and face value of 6 in the numeral586723 is:(a) 723(b) 6717(c) 5994(d) of these |
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Answer» the answer is place value - face value = 6723 - 6 = 6717 , option number (b)
harshavardhan's answer is wrong |
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| 14. |
Using Heron's formula, find the area of a triangle whose sides10 cm, 24 cm, 26 cm 723 |
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Answer» 120 cm^2 is the answer |
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| 15. |
14. In a fraction, twice the numerator is 2 more than the denominator. If 3 is added to thenumerator and to the denominator, the new fraction is Find the original fraction |
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Answer» Let the numerator be xdenominator = 2x-23 is added :-Numerator= x+3Denominator= 2x-2+3=2x+1x+3/2x+1=2/33(x+3)=2(2x+1)3x+9=4x+23x-4x=2-9-x=-7x=7Original Numerator = x = 7Original Denominator = 2x-2= 2(7)-2= 14-2= 12Original Fraction = 7/12 7/12 is the correct answer 2/3 is the right answer.... 2/3 is the right answer 2/3 is the right answer |
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| 16. |
findthequotientwhen2. Without performing the actual subtraction and division,G) the difference of 57 and 75 is divided by (a) 9 (b) 2(ii) the difference of 39 and 93 is divided by (a) 6 (b) 9(a) 9(b) 7(ii) the difference of 92 and 29 is divided by |
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Answer» The difference of the two-digit numbers which are formed by interchanging the digits is always divisible by 9 and the difference between the digits itself.Thus, when divided by 9 the quotient will be the difference of digits and when we divide by difference of digits the quotient will be 9. I) a) 2 b)9 II) a) 9 b)6 III) a) 7 b)9 |
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| 17. |
14. In a fraction, twice the numerator is 2 more than the denominator. If 3 is added to thenumerator and to the denominator, the new fraction is.Find the original fraction.23 |
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| 18. |
19.The denominator of a fraction is 12 more than the numerator. If 16 is added to both thenumerator and the denominator, the new fraction so obtained is 1. Find the original fraction.13 |
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| 19. |
lll) that she did not hit a boundaryuluary 6 times out of 30 balls she plays. Find1500 families with 2 children were selected randomly, and the followingrecorded:data wereNumber of girls in a family0Number of families475814211Compute the probability of a family, chosen at random, having0 2 girlsAlso check whether the sum of these probabilities is 1.(i) 1 girl(ii) No girl |
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| 20. |
1) the number of noteboOKS e Snodc4 vendor buys bananas at 3 for a rupeeloss percentage.and sells at 4 for a rupee. Find his profit onC the selling price of 5 pens is equal to |
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Answer» C.P of 3 bananas=rs1C.P. of 1 banana=rs1/3S.P. of 4 bananas=rs1S.P. of 1 banana=rs1/4loss=c.p.-s.p.=1/3 - 1/4=1/12loss%=(loss/c.p.)×100=((1/12)/(1/3))×100=25% |
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| 21. |
9. Rekha has 500. She buys an umbrella for R 129.65, sketchpens for R45.75 and a packet of pencil for 37.95. How muchmoney will be left with her after purchasing all these items?10. A rope is 100 m long. Two pieces of length 37.65 m and19.39 m are cut from it. Find the length of remaining rope. |
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Answer» 9.total amount = Rs500cost of umbrella = Rs129.65cost of sketch pen = Rs45.75cost of packet of pencil = Rs37.95total money spent = cost of umbrella + cost of sketch pen + cost of packet of penciltotal money spent = 129.65+45.75+37.95 = Rs213.35money left = total amount - money spentmoney left = 500-213.35=286.65therefore after purchasing all the items rekha has Rs 286.65 left with her. 10.total length of rope = 100mlength of pieces cut=37.65m+ 19.39m =57.04mlength of remaining rope = total length - legth of pieces cutlength of remaining rope =100-57.04length of remaining rope= 42.96m |
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| 22. |
Construct the angles of the following measurements:(i) 22 |
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| 23. |
3 Construct the angles of the following measurements:(ii) 15(i) 22530p |
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| 24. |
(i) 51 723 |
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Answer» 723÷51bhagfal= 14sheshfal= 9 bhagfal=14sheshafal=9 |
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| 25. |
10. 723 hoursdayoursSeore |
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Answer» 723 hours = 30 days 3 hours |
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| 26. |
The denominater of a fraction is greater than its numerator by 12.If the numeratoris decreased by 2 and the denominator is increased by 7, the new fraction isequivalent with í¸. Find the fraction. |
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Answer» Thanks |
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| 27. |
3. Without performing actual computation, find the quotient when 95 - 59 is divided by:(ii) 4(09 |
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Answer» I think the answer will be 9 the answer will be 9 4 and 9 is the quotient 9 is answer i know ........... 9 is the correct answer |
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| 28. |
Diagonals AC and BD of parallelogram ABCD intersect at O. If<BOC = 90° and <BDC=50°, find<OAB. |
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| 29. |
er of a fraction is greater than its numerator by 12.If the numeratorTheis decreased by 2 and the denominator is increased by 7, the new fraction isequivalent with . Find the fraction. |
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Answer» So the fraction is 23/35. |
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| 30. |
2. The denominater of a fraction is greater than its numerator by 12.If the numeratoris decreased by 2 and the denominator is increased by 7, the new fraction isequivalent with. Find the fraction. |
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Answer» Suppose numerator is xthen denominator = x+12now numerator decreases by 2means it will be x-2denominator = x+12+7= x+19new fraction x-2/x+19= 1/22x-4= x+19x= 23so numerator = 23-2/23+1921/42 |
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| 31. |
Construct the angles of the following measurements:() 30°(ii) 22(iii) 15° |
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| 32. |
3Constructthe angles of the following measurements:(0) 30° |
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| 33. |
Diagonals AC and BD of a parallelogram ABCDintersect each other at O. If OA 3 cm andOD 2 cm, determine the length of AC andBD. |
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| 34. |
If x3, y 4 and z 5, find the Valueof 4x?+ 2y2- 4z + 3xyz |
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Answer» 4*9+2*16-4*5+3*3*4*536+32-20+18036+12+180228 |
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| 35. |
Construct the angles of the following measurements30(0) 22 |
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| 36. |
3 Construct the angles of the following measurements:(1) 30 |
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| 37. |
5 Manan buys 9 pens for36 and sells them at the rate of 12 pens for52. Find the gain or lossper cent3 |
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| 38. |
A man buys eggs at the rate of 9 for Rs 16 and sells at the rate of 11 for Rs 20.Find his gain or loss per cent. |
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| 39. |
Find the last digit of the product 723 x 813 |
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Answer» 4 is the right answer. the sequence for 7 exponents is 49 last digit 99x7= 63 last digit 33x7= 21 last digit 17x1= 7 last digit 7so the cycle renews ever 7^4hence for 7^23, there are 5 cycles and 3 remainder, so last digit is 1applying similar logic with 8 we get 4 ,hence 4x1=4 |
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| 40. |
1/(x+1)(x+2) +1/(x+2)(x+3) -2/(x+1)(x+3) |
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Answer» simplify.... question |
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| 41. |
\left| \begin{array} { c c c } { 1 } & { x } & { x ^ { 2 } } \\ { x ^ { 2 } } & { 1 } & { x } \\ { x } & { x ^ { 2 } } & { 1 } \end{array} \right| = ( 1 - x ^ { 3 } ) ^ { 2 } |
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| 42. |
Prove that (813 +55) is an national. Alsocheck whether (255+ 5s) 1853-45) is storalor irrational. |
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| 43. |
3. Without performing the actual subtraction and division, find the quotient when(0) the difference of 276 and 672 is divided by (a) 99 (b) 4(ii) the difference of 813 and 318 is divided by (a) 5 (b) 99(ii) the difference of 951 and 159 is divided by (a) 8 (b)(c) 88 (d) 99 |
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Answer» (i) 672-276=396396%4=0 and 396%99=0so it is divided by 4 and 99(ii) 813-318=495495%5=0 and 495%99=0so it is divided by 5 and 99(iii) 951-159=792792%8=0 and 792%11=0 and 792%88=0 and 792%99=0so it is divided by 8,11,88 and 99 |
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| 44. |
3, Construct the angles of the following measurements:15022.-0) 30° |
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| 45. |
1.x2+xy +8x + 8y |
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Answer» x² + x y + 8x + 8y= x(x+y) + 8(x+y) =(x+y)(x+8) x^2+xy+8x+8y=x(x+y)+8(x+y)taking common:x+y we get, =(x+8)(x+y)..Answerhope!!it help.. |
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| 46. |
(i) x2 + xy+8x+8y |
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| 47. |
एक शहर में मेट्रो बस का किराया पहले 1 किलोमीटर के लिए रु. 12हैं, फिर बाद की दूरी के लिए रु. 8 प्रति किलोमीटर है । कुल दूरी ;किलोमीटर और कुल किराया ४ मानते हुए दी गई जानकारी केआधार पर निम्न में से कौन-सा रेखीय समीकरण सही होगा ?(अि) z = 8y () z =8y + 4(Flz=4y +8 (y=8z+4 ° |
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Answer» please like my answer if you find it useful |
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| 48. |
(a)x - 2y - 4z4x - 8y- z- 7x - 2y +62 |
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Answer» =-2x-12y+z is the right answer - 2x -12y+z is the correct answer |
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| 49. |
3.Construct the angles of the following measurements:(6) 30°ii) 22(iii)199 |
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| 50. |
Construct the angles of the following measurements(i) 30(ii) 22(ii) 15° [NC2 |
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