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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. |
252Secondary School Mathematics forEXERCISE 81. In âłABC, if<B = 76" and <C = 48", find LA.la nr in the ratio 2:3: |
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Answer» correct answer .... |
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| 2. |
315X(-110)(-110)X485 |
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Answer» by BODMAS(-110)(315+485)=(-110)(800)=-88000 |
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| 3. |
\operatorname { sin } 38 ^ { \circ } \operatorname { cos } 22 ^ { \circ } + \operatorname { cos } 38 ^ { \circ } \operatorname { sin } 22 ^ { \circ } = \frac { \sqrt { 3 } } { 2 } |
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Answer» SinAcosB + cosAsinB = sin(A+B)Using this LHS = Sin(60) = RHS. |
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| 4. |
\cos 38^{\circ} \cos 52^{\circ}-\sin 38^{\circ} \sin 52^{\circ}=0 |
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| 5. |
((((tan(52^circ)*tan(73^circ))*tan(60^circ))*tan(38^circ))*tan(17^circ))*(2/sqrt(3)) %2B sec(39^circ)/((51^circ*cosec)) - 3*(sin(31^circ)^2 %2B sin(59^circ)^2) |
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| 6. |
\frac { 3 \operatorname { tan } 38 ^ { \circ } } { \operatorname { cot } 52 ^ { \circ } } - \frac { 4 \operatorname { sec } 5 ^ { \circ } } { \operatorname { cosec } 85 ^ { \circ } } |
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| 7. |
\cos 38 ^ { \circ } \cos 52 ^ { \circ } - \sin 38 ^ { \circ } \sin 52 ^ { \circ } = 0 |
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| 8. |
x=\frac{8 a b}{a+b} let us write by calculating the value of \left(\frac{x+4 a}{x-4 a}+\frac{x+4 b}{x-4 b}\right) |
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| 9. |
le 4. Find the HCF of 45 and 108. |
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Answer» Find the prime factorization of 4545 = 3 × 3 × 5 Find the prime factorization of 108108 = 2 × 2 × 3 × 3 × 3 To find the HCF, multiply all the prime factors common to both numbers: Therefore, HCF = 3 × 3 HCF =9 |
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| 10. |
Lim n tends to infinity 1/n |
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Answer» Limit n tends to infinity 1/n will be 0As when n becomes very large 1/n will very small lim x tends 0 1/a; answer |
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| 11. |
ABCD is a rhombus and P, Q, R and S are ©wthe mid-points of the sides AB, BC, CDand DA respectively. Show that the quadrilateral PQRS is a rectangle.2, |
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| 12. |
lim x tends to a {(asin x)-(x sina)}/{ax^2-a^2x} |
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| 13. |
11ABCD is a rhombus and P, Q, R and S are ©wthe mid-points of the sides AB, BC,and DA respectively. Show that the quadrilateral PQRS is a rectangle.3.2. |
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| 14. |
A wire of uniform area of cross-section is stretchedl to iour times its origmal length By whatfactor does its resistivity change? |
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Answer» The resistivity remains same for a certain material at a particular temperature |
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| 15. |
The sum of the digits of a 2 digit number is 13.The number formed by interchanging the digitsis 45 more than the original number. Find therinal number |
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| 16. |
14.n the adjoining figure, find the measure of 4BCD110115o |
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Answer» thanx |
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| 17. |
3. Find.\begin{array}{l}{6 \frac{1}{4} \% \text { of } 25 \mathrm{kg} \quad \text { b. } 10 \frac{2}{3} \% \text { of } 21800} \\ {7 \frac{1}{2} \% \text { of } 15 \text { litres }}\end{array} |
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Answer» Thanks |
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| 18. |
6. In the given figure, if zDBC 70o and ZBAC 40°, then find the valueof 4BCD. |
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Answer» Like my answer if you find it useful! |
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| 19. |
12. Find the loss or gain as percent, if the C.P. of 8 articles, all of the same kind, is equalto S.P. of 10 articles |
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Answer» let cp of 8 articles be 80then sp of 10 articles is 80 cp of 1 article=80÷8 =10sp of 1 article=80÷10 =8 then sp of 8 articles is 8×8=64 cp>sp therefore it is a loss loss 80-64=16loss percentage=16÷80×100=20% Thank you very much brother |
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| 20. |
12. If the cost price of 12 articles is equal tothe selling price of 10 articles, then findthe profit% in the transaction.(a) 15%(b) 20%(c) 25%(d) Data insufficient(e) of these |
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Answer» cp of 12 = sp of 10 sp of 12 = cp of 10 12 -10=2profit 2%2/10 × 100= 20% |
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| 21. |
(iv) ./2x-lothe valuMrite the coetticients of a' in each of the followingfdegree 35, and of a monomial of de |
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Answer» 2.(i)the coefficient of x^2is +1(ii)the coefficient of x^2 is -1(iii)the coefficient of x^2 is +π/2(I've) the coefficient of x^2 is 0 i) cofffcient of x² is 1 ii) cofffcient of x² is -1 iii) cofffcient of x² is pi/2 iv) cofffcient of x² is 0 |
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| 22. |
(a)The ratio of two numbers in 3: 5. If their sum is 248, find the numbers.(i) 83,155(ii) 73,255(ii) 93,155iv |
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Answer» Let the ratio be x. Then, the numbers in the ratio are 3x and 5x. Now, sum=248-> 3x+5x=248-> 8x=248-> x=248/8-> x= 31 Now, numbers are-3x=3*31=935x=5*31=155 let the number be xthen the numbers are 3x and 5x3x+5x=2488x=248x=248÷8x=31 nownumbers 3x=3×31=935x=5×31=155 |
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| 23. |
9. The diagonal of a quadrilateral is 24 cm andieesperpendiculars from the remainingon it are 8 m and 13 m find its area(a) 248 cm(c) 252 cmaopposite verticesb) 248 m(d) 252.5 ema, |
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| 24. |
Fig. 9294BCD is a rhombus and P, Q, R and S are wthe mid-pointsof the sides AB, BC CD and DA respectively. Show that the quadrilateral PQRS is arectangle. |
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Answer» Given: ABCD is a rhombus and P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively. To prove: PQRS is a rectangle.Proof: PS || BD and PS = 1/2 BD [According to midpoint theorem]QR || BD and QR = 1/2 BD [According to midpoint theorem]⇒ PS || QR and PS = QR.PQ || AC and PQ = 1/2 AC [According to midpoint theorem]RS || AC and RS = 1/2 AC [According to midpoint theorem]⇒ PQ || RS and PQ = RS. Opposite sides of the quadrilateral are equal and parallel. so PQRS is a parallelogram.Now , we have to prove that |
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| 25. |
area of the Wall in sa. Teet9936, what was his: The salary of a person was increased by 15%. If his salary now isinitial salary? |
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Answer» suppose initial salary is xso 1.15x=9936so.x=8640 |
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| 26. |
Find all the zeroes of thele two of its two żeroes arepolynomial 2"+2°-34% -4% +120-13 and 13 |
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| 27. |
45. Find the cost of 634litres of milk if the cost of milk is21 per le. |
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Answer» So the final amswer is 147.15 rs |
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| 28. |
The sum of a number of 2 digits and of the number formed by reversing the digits is 110, and the differenceof the digits is 6. Find the number |
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| 29. |
Add3(i) – +15175310428+-+VIWAW+n Đoo w5.5(vi)E+(iv) 1+-+-596 -315 |
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| 30. |
8. A तथा B मिलकर एक कार्य को 8 दिन में समाप्त कर सकते हैं जबकि B तथा Cइसे 12 दिन में और C तथा इसे15 दिन में समाप्त कर सकते हैं. C अकेला इसे कितने दिन में समाप्त करेगा ? (एस०एस०सी० परीक्षा, 2006)(a) 80 दिन(b) 120 दिन(c) 75 दिन() 90 दिन|nen340=p Aanennnnn -5 |
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Answer» option B is the correct answer |
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| 31. |
the cp of 16 articles is equal to sp of 12 articles find the gain or loss percentage |
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Answer» the loss percentage is 33.3% Let cp of 1 article be rs 100Therefore,so=100*16/12=133.33 rsSo, Gain Percentage=133.33-100/100 *100=33.333% May this answer helps you😊 33.333 percentage This may correct answer |
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| 32. |
4. A pen stand made of wood is in the shape of acuboid with four conical depressions to hold pensThe dimensions of the cuboid are 15 cm by 10cm by3.5 cm. The radius of each of the depressions is 0.5cm and the depth is 1.4 cm. Find the volume ofwood in the entire stand (see Fig. 13.16) |
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| 33. |
pen stand made of wood is in the shape of aboid with four conical depressions to hold pensThe dimensions of the cuboid are 15 cm by 10 cm by3.5 cm. The radius of each of the depressions is 0.5cm and the depth is 1.4 cm. Find the volume ofwood in the entire stand (see Fig. 13.16) |
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| 34. |
A pen stand made of wood is in the shape of acuboid with four conical depressions to hold pens.The dimensions of the cuboid are 15 cm by 10 cm by3.5 em. The radius of each of the depressions is 0.5em and the depth is 1.4 cm. Find the volume ofwood in the entire stand (see Fig, 13.16). |
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| 35. |
WATHEMATICS2483. A gulab jamun,contains sugar syrup up to about30% of its volume. Find approximately how muchsyrup would be found in 45 gulab jamuns, eachshaped like a cylinder with two hemispherical endswith length 5 cm and diameter 2.8 cm (see Fig. 13.15).54. A pen stand made of wood is in the shape of a Fig. 13.1cuhoid with four conical depressions to hold pens. |
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| 36. |
Inofgiven parallelogramBc , Ly & LEAB CD Hind the valuDead1200XOO |
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Answer» X = 60 degreeY = 60 degreeZ= 50 degree .. x=60 degrees, y=60 degrees, z=50 degress X= 60 degreeY= 60 degreeZ= 50 degree 60°,60°,50° is the correct answer of the given question x=60 degree y=60 degree z=50degree |
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| 37. |
2.In given figure, BC is a diameter of the circle and AD bisects 4BAC. Find4BCDtro of the circle, prove that Le = /x + Ly |
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Answer» angle BCD= angle CDA(radius have same length so equal opposite angles)angle BCD+angle CDA+90=180(anlges sum property)2angle BCD=180-90angle BCD=90/2=45 |
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| 38. |
6. Calculate the compound interest that Manish will get, if he invests? 1800 at 14% per annum for2 years in a bank. |
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| 39. |
- Take the digits 4q5g 6, 7, 8 and a make anythree numbers each with 8 digits. Put commasfor easy leading |
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| 40. |
10. ,(i)H.C.F. (96, 404) = 4己게 L.C.M. (96.404)村4H JA矾1 |
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| 41. |
LE 4Find the least number of 4 digits which is a perfect square |
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| 42. |
H.C.F. of 96 and 404 is |
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Answer» HCFof 96 and 404 by prime factorisation method:-Since, 96 =2× 2× 2× 2× 2× 3and, 404 = 2× 2× 101So, HCF of 96 and 404 = Product of common prime factors =2× 2 =4 LCM = 2× 2× 2× 2× 2× 101× 3 = 9696 Like my answer if you find it useful! |
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| 43. |
le 8 In Fig 8.17, AOBA is the part of the ellipse 9x: + уг = 361such that OA2 and OB6. Find the area between the arc AB and thechord AB. |
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Answer» 1 2 3 4 5 6 thank you mam |
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| 44. |
The H.C.F. of 96 and 404 is: |
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| 45. |
Find HCP and LCM of 404 and 96 |
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| 46. |
5. A container is in the form of an inverted Cule Igcontainer is 8 cm and the radius of its top, which is open,is 5 cm. It is filled with water up to the brim. When leadshots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, onethe water flows out. Find out the total number of lead shots dropped in the contalin the container |
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| 47. |
1. What amount of money should Mohan invest ina bank in order to get 1323 in 2 years at 5%compounded annually? |
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| 48. |
1. What amount of money should Mohan invest in a bank in order to get? 1323 in 2 years at 5% compoprnannually?5. Т |
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Answer» Amount=principle *(1+5/100)^21323=p*(105/100)^2(1323*100^2)/105^2=p1200=p |
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| 49. |
4. A pen stand made of wood is in the shape of aFig. 13.15cuboid with four conical depressions to hold pens.The dimensions of the cuboid are 15 cm by 10 cm by3.5 cm. The radius of each of the depressions is 0.5cm and the depth is 1.4 cm. Find the volume ofwood in the entire stand (see Fig. 13.16).5. A vessel is in the form of an inverted cone. Itsheight is 8 cm and the radius of its top, which isopen, is 5 cm. It is filled with water up to the brim.When lead shots, each of which is a sphere of radius0.5 cm are dropped into the vessel, one-fourth ofthe water flows out. Find the number of lead shotsdropped in the vessel.Fig. 13.16 |
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| 50. |
1. What amount of money should Mohan invest ina bank in order to get 1323 in 2 years at 5%compounded annually ? |
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Answer» hope it helps u 132.3 is the correct answer |
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