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. |
A wooden box of dimension 70 cm× 60cm× 40 cm is made of wood 3 cm thick . find the capacity of box and its weight , if 100 cm3 of wood weight 10 gram. |
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Answer» Dimension of wooden boxLength = 70-6= 64, Breadth = 60-6= 54Height = 40-6 = 34 Volume = length*breadth*height = 64*54*34 = 117504 cm^3 Weight of box = 117504*10/100 = 11750.4 gm |
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| 2. |
A wooden box of dimension 70 cm× 60 cm× 40 cm is made of wood 3 cm thick. find the capacity of box and its weight, if 100 cm3 of wood weight 10 gram |
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Answer» galat answer ha yeh right answer 117504cm3 , 1.34 kg |
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| 3. |
2000 grams.. kilograms3700 grams4000 grams . kilograms4500 grams8000 gramsNow convert 800 grams into kilogram.s think over this-kilograms...gram...kilogramskilograms |
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Answer» 416 dag into millimeters |
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| 4. |
Section Dhe23. A sweet shopkeeper prepares 396 gulab jamuns and 342 rasguilas. He packs them into conins ecesconsists of either gulab jamun or rasgulla, but have equal number of pieces. Find the number ot pput in each container so that numbers of containers are least. |
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Answer» 342=2x3x3x19 and 396=2x2x3x3x11. We get 2x3x3 as common in both factors, so 18 is highest common factor,Therefore number of pieces to be filled in a pack is 18 for which number of packs will be least. |
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| 5. |
Tl. show that 3¢° + 4ab - 34" = 4 + 3 V10 |
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| 6. |
athonaise he denome natoxteflloudinti)V103J3 |
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| 7. |
sinA=1/(10) ,sinB=1/(3) जहाँ A और B न्यूनतम है तो A +B बराबर है - |
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Answer» Apologies but we are currently providing answers to questions in English only. We are going to include other languages very soon. So keep checking this app in the coming months. |
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| 8. |
Locate v10 on the number line |
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| 9. |
1-sinB() सिद्ध करें कि (sec 0 - 180 9)" न 77700y |
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| 10. |
के तठ 6 —sinB + %B = cosecO + cotfi 00596 + 5109 — 1LA |
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Answer» CosA-sinA+1/cosA+sinA-1=(cosA-sinA+1)(cosA+sinA+1)/(cosA+sinA-1)(cosA+sinA+1)=(cos²A-cosAsinA+cosA+cosAsinA-sin²A+sinA+cosA-sinA+1)/{(cosA+sinA)²-(1)²}=(cos²A-sin²A+2cosA+1)/(cos²A+2cosAsinA+sin²A-1)={cos²A+2cosA+(1-sin²A)}/(1+2cosAsinA-1) [∵, sin²A+cos²A=1]=(cos²A+2cosA+cos²A)/2cosAsinA=(2cos²A+2cosA)/2cosAsinA=2cosA(cosA+1)/2cosAsinA=(cosA+1)/sinA=cosA/sinA+1/sinA=cotA+cosecA=cosecA+cotA (Proved) |
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| 11. |
\frac { \sin ( B + A ) + \cos ( B - A ) } { \sin ( B - A ) + \cos ( B + A ) } = \frac { \cos A + \sin A } { \cos A - \sin A } |
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| 12. |
a boy has a spherical sweet of radius 4cm. a girl has 8 spherical sweet each of radius 2cm so find the ration of the volume of the sweets the boy has to the sweets the girl has. |
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Answer» please like my answer if you find it useful |
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| 13. |
ABC is an isosceles triangle with AB = AC. Draw AP丄BC to show that |
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| 14. |
\frac{\sin ^{2} A-\sin ^{2} B}{\sin A \cos A-\sin B \cos B}=\tan (A+B) |
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| 15. |
5、ABC is an isosceles triangle with AB = AC. Draw AP i BC to show thi |
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| 16. |
Ans. k -.d k, if PQ i RS and P(2, 4), Q3, 6), R(3, 1), S(5, k)s Find |
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Answer» As PQ||RS, Slope of RS = slope of PQ k-1/5-3 = 6-4/3-2 k-1/2 = 2/1 k-1 = 4 k = 5 Like my answer if you find it useful! |
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| 17. |
3(ii) cos (A + B)cos B1, where A and B both lie in second quadrant, findand cos B-3 , where π<A <sm and 37t<B < 2n, find thecos B- . , where π < A <3-and 0 < B < π , find tan (A + B).os B-12 , where π <A < π and 3π < B < 2, find tan (A-B).os B-43 ,, where π <A < π and 0 < B < π , find the following1213(ii) cos (A B)41132222(ii) tan (A B)6llowing:18o - cos 78° sin 18°s 9°+ cos 36° sin 9°and cot B-t , where A lies in the second quadrant and(ii)(iv)cos 47 "cos 13°-sin 47。cos 80° cos 20°+ sin 80the values of the following(ii) cos (A + B)(iii) tan (A + B)12121212A tan B sin (A+ B)A tan B sin (A B)cos 9°sin 9o0n 11°= tan 54。 |
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Answer» Please specify the question |
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| 18. |
or what value of K will two consecutive terms 2K + 1, 3K +3 and 6K- 1 form an A.P,CBSE Foreign 2017) (Ans. K |
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Answer» The common difference should be equal if the terms are in AP. |
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| 19. |
V VILIUULULLLLFind the value of'a' so that (x + 1) may be a factor of 2x3 - ax2 - (2a - 3)x+2.Ans, a = 3Ans. Oop33y-k |
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Answer» As given (x+1) is factor of polynomial 2x^3 - ax^2 - (2a - 3)x + 2 Then,For x = - 1 given polynomial will be equal to 0 So,2(-1)^3 - a(-1)^2 - (2a - 3)(-1) + 2 = 02*-1 - a*1 - (-2a + 3) + 2 = 0-2 - a + 2a - 3 + 2 = 0a - 3 = 0a = 3 Therefore,Value of a = 3 |
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| 20. |
.3 : lfcos A-swhere<A<π andtan A +tan Btan A - tan BSin B=-,π < B < _ then find the value of2ution: |
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| 21. |
cos Ap,sin AIfsin Bcos B-q, find tan A and tan B. |
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Answer» Given , sinA/sinB=p and cosA/cosB=q So sinA= psinB and cosA=qcosB............(1) Now dividing above two equation we get, tan A= p/q* tanBor tan B= q/p*tanA ........(2) Now multiplying both equation in (1) we get, sinAcosA= pqsinBcosB Now dividing by cos2^Acos^2B we get, sinAcosA/cos^2Acos^2B=pqsinBcosB/cos^2Acos^2B sec^2B*tanA = pq se^c2AtanB(1+tan2B)tanA=pq (1+tan2A) tanB Now from equation (2) we get, (1+(q/ptanA)^2)tanA=pq (1+tan^2A) q/p*tanA 1+q^2/p^2*tan^2A=q^2+q^2tan^2A1−q^2=(q^2−q^2/p^2)tan^2A So,tan^2A= p^2(1−q^2)/q^2(p^2−1) tan A=p/q sqrt[(1−q^2)/(p^2−1)] |
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| 22. |
If A and B are acute angles such that sinAa-1 and sinB =-1=V5-710 and tan(A + B)-tan A + tan B1- tan A tan Bfind A + B |
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| 23. |
If A and B are acute angles such that sinA =and sinBs and sinBo and tan(A + B) - tan A + tan Bfind A + BV101- tan A tan B |
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| 24. |
find the values of tan 15° and tan 30° by takingLONG ANSWER TYPE PROBLEMStan A-tan B16. Given that tan(A - B) =1+tan A tan Bsuitable values of A and B.[HL]nin 759 and cin 90° by taking |
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Answer» tan 15 = tan(45-30) = Tan(45-30)= tan45-tan30/1+tan45.tan30 tan15= (1-1/√3)/(1+1/√3) = (√3-1)/(√3+1) or. Rationalising = (√3-1)^2/2= (4-2√3)/2= 2-√3 |
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| 25. |
5. Constructions should be neat and exactly as perpermitted.the given measurementSECTION-AAfter how many decimal places will the decimal expansion of 21x 53terminate43ORWhat is the HCF of the smallest composite number and the smallest primenumber2 If one root of 5x213x + k O is the reciprocal of the other root, then findwalue of k.3 Which of the term of A.P. 5, 2, 1...4is-49?The ordinate of a point A on the y- axis is 5 and B has co- ordinates (-3,1Find the length of AB5 If tan Afind the value of (sin A+ cos A) sec A?12Î ABC is such that AB-3 cm, BC= 2cm, CA-2.5cm. If ÎDEF-a ABC andEF 4cm, then find perimeter of ADEF.6 cmOR |
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Answer» For AP 5, 2, - 1.........nth termtn = a + (n - 1)d a = 5, d = 2-5 = - 3 Let mth term of AP is - 49 Then,-49 = 5 + (m - 1)*-3-49 = 5 - 3m + 3-49 - 8 = - 3m3m = 57m = 57/3 = 19 Therefore, 19th term of given AP is - 49 |
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| 26. |
. If cos A = { and sin B =find thetan A-tan Bvalue of :1+tan A tan B.B. Here angles Aand B are from the same triangle.In a triangle ABC AP is nernendicula |
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| 27. |
Topic..DateJuh is subtracted from a number andthe diffrence is multiplied By 4 the resultTi 5. What is the numbers |
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Answer» let the number be x(x-1/2)×4=5(2x-1/2)×4=5(2x-1)×2=54x-2=54x=5+24x=7x=7/4 x minus one third and then multiplied by 4 the answer is 5 X= 7/4 is the correct answer of the given question |
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| 28. |
-bag contains 50-paise coins and 5 coins. The total value of these coins is 300. If thetotal number of coins in the bag is l |
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Answer» Let 50 paise coins be x 5 rupees coins will be (150-x) as there are q50 coins in the bag 50 paise = 100/50=1/2 rupees 1/2(x)+5(150-x)= 300 rupees x/2+750-5x = 300 rs-9x/2+750= 300750-300 = 9x/2 450= 9x/2 => 9x = 900 => x=900/9 = 100 (50-paise coins )5rupees coins => 150-x => 150-100=> 50 coins |
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| 29. |
3% commission on the sale of a property amount to Rs 42660 what is the total value of the property |
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| 30. |
3% commission on the sale of a property amounts tothe property?42660. What is the total value of |
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| 31. |
What numbers are:ILEach color is adifferent digit.just solvoe |
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Answer» In this additionBlue color = 1Grey color = 8Red color = 5 Then, 1 8 5 1 8 5+1 8 5------------ 5 5 5 good |
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| 32. |
4 Priya had two five-rupee coins more than the number of ten-rupee coins. The total value of the coins was100. How many coins of each denomination does she have? |
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| 33. |
98, 16, 20, 24丽ě |
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| 34. |
429881624 |
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Answer» x/y=42/24=21/12=7/4now when y=8 x=14now when y=16 x=28now when x=98 y=56 |
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| 35. |
(260) If the price of sugar decreases by Rs. 5 per k, one can buy I kg more sugar in Rs 150, what is the price of thesugar ? |
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Answer» it would be - 750 ok so after solving we will get 30 and -25 so we will reject -25 and answer will be 30 |
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| 36. |
Do THISFind the HCF and LCM of the following given pairs of numbers by primefactorisation method.(i) 120,90 (ii) 50, 60 (iii) 37, 49 |
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Answer» 120/2=60/2=30/2=15/3=5, 90/2=45/3=15/5=3; (ii)90/2=45/3=15/3=5, 60/2=30/2=15/3=5; 49/7=7; 37×1=37 |
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| 37. |
A reduction of 20% in the price of flour enables Akriti to buy an extra 5 kg of it for t320. Find(a) the original price per kg (b) the reduced price per kg. |
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| 38. |
ONLY A MASTERMIND CAN SOLVEWhat numbers are:Each color is adifferent digit. |
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Answer» blue = 1grey = 8red = 5 |
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| 39. |
a)) Evaliate without using trigonometric tables,sin2 28° + sin2 62+ tan238"-cor2 5+4 sec2 30 |
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Answer» sin²28+cos²(90-62)+tan²38-tan²(90-52)+(1/4)sec²30=sin²28+cos²28+tan²38-tan²38+(1/4)sec²30=1+0+(1/4)*(4/3)=1+3=4 |
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| 40. |
MENTS / MEETINGSofw |
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Answer» 5/6 is right answer Clancy 5/6 is the correct answer 5\6 is the right answer 5/6 is the correct answer of the given question 5/6 is A correct answer 5/6 is a correct answer 2÷6=1/3;3÷6=1/2;1/3+1/2=3+2/6=5/6 5/6 is the correct answer 5/6 is the correct answer 5/6 is the correct answer of the given question 5/6 is right answer. 5/6 is right the right answer |
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| 41. |
(d)-Who presides over the meetings of theSenate? |
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Answer» Hepresides overtheSenateonlyonceremonial occasions or when a tie-breaking vote may be needed. When the vice president is absent, the presidentpro tempore presides overtheSenate. Juniorsenatorsfillinas presiding officer when neither the vice president nor presidentpro temporeisontheSenateFloor. |
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| 42. |
DUAdd the following:3a - 4b + c, 5a + 8b -703x2 - 4xy + 2y, 6x2 + 5xy - 4y -x2 - 6xy + 102(mm) 3y2 - 8y + 7, 9y2 + 5y + 6(iv) x3 - 5x2 - 6x + 4, x3 - 2x2 - 4x + 10Subtract |
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Answer» 1,8a+4b-6c2,8x²-5xy+8y²3,12y²-3y+134,2x³-7x²-10x+14 |
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| 43. |
ILMUUJU U1. Add the following:(0) 3a - 4b + c, 5a + 86-70() 3x2 - 4xy + 2y? 6x2 + 5xy - 4x2-x2 - 6xy + 10y2(iii) 3y - 8y + 7, 9y2 + 5y + 6(iv) x3 - 5x2 - 6x + 4. x3 - 2x2 - 4x + 10 |
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Answer» 1,3a-4b+c+5a+8b-7c8a+4b-6c 2,8x²-5xy+8y²3,12y²-3y+134,2x³-7x²-10x+14 answer 1)8a+4b-6c is the right answer |
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| 44. |
usFind the HCF and LCM of the following given pairs of numbers by(i) 120,90 (11) 50,60 (ii) 37,49Mof the following given pairs of numbers by prime factorisation |
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Answer» 1)120/2=60/2=30/2=15/3=5; 90/2=45/3=15/3=5; 2) 50/2=25/5=5; 60/2=30/2=15/3=5; 3) 37/1=37; 49/7=7 50= 2×5×5=2×5^260=2×2×3×5= 2^2×3×5HCF= 2×5=10LCM= 2^2×5^2×3 = 4×25×3=300 hcf= 10 LCM= 300 is the correct answer of the given question Hch=10 lcm=300 is the correct answer |
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| 45. |
numbersFind two natural numbers, the us of qequal to 50 times their differenceie 25 times their sum andaHint+-25+)and |
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| 46. |
1. Without using trigonometric tables, find the valueof x, if cos x cos 60° cos 30° + sin 60° sin 30 |
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Answer» If you find this solution helpful, Please give it a 👍 |
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| 47. |
subtract the given 4-digitsolve verbal problems bnumbers..Let us recall what we havenumbers.RevisioI. Subtract the following nu1) 4,528-3,2142) 6,453-5,3023) 3,759-2,156II. Subtract the following nu1) 6,123-3,5862) 8,000-4,6173) 3,564-1,345 |
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Answer» 1. 1314 2. 1151 3. 1603 |
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| 48. |
09 Without using the trigonometric tables find the value of (Cos7s |
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| 49. |
\begin{array}{l}{\text { Without using the trigonometric tables, find }} \\ {\text { (i) (a) } \cos 75^{\circ}} \\ {\text { (ii) (a) } \sin 15^{\circ}} \\ {\text { (ii) (a) } \sin 105^{\circ}} & {\text { (b) } \cos 15^{\circ}}\end{array} |
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| 50. |
the difference oftheirperimetersis60cosh-sindA+1- cosec A + cotA1cOSA- sin328. Prove thatcosA + sinA-1ORWithout using tables, find the value of |
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Answer» (cos A- sin A + 1)/(cos A + sin A - 1). Divide both numerator and the denominator by sinA.the sum becomes (cot A - 1 + cosec A)/(cot A + 1 -cosec A) =(cosec A + cot A - 1)/(cotA - cosec A +1) ={cosecA+cotA-(cosec^2 A- cot^2 A)}/Dr where Dr=cotA-cosecA+1 ={(cosecA+cotA)-(cosecA+cotA)(cosecA-cotA)}/ Dr. =[(cosecA+cotA){1-(cosecA-cotA)}]/Dr ={(cosecA+cotA)(1-cosecA+cotA)}/Dr =(cosecA+cotA)(cotA-cosecA+1)/Dr =(cosecA+cotA).Dr/Dr =cosecA+cotA. |
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