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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. |
Q. 23 lf A and B are symmetric matrices, prove that AB-BA is a skewsymmetric matrix. |
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| 2. |
Find the valuesのa and D in eachthe jollouor342 5302-2E |
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| 3. |
andReit O)き| 1320 × 5000 × |
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Answer» 1320*5000*3/12= 110*5000*3= 110*15000= 1650000 |
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| 4. |
2. Write thesupplementof each of the following angles:(iii) 138°(i) 54o(ii) 1320 |
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| 5. |
किला कल अमन ले का अननकल नरन(0. 14. हम जानते हैं कि ५2 एक अपरिमेय संख्या है, तब सिद्ध करोकि (5+342) 'भी एक अपरिमेय संख्या है। |
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Answer» GIVEN=√2 IS AN IRRATIONAL NO. LET US SUPPOSE THAT THE 5+3√2 IS AN RATIONAL Numberमाना की है (5+3√2)परिमेय संख्या है अता हम इसे p/q फॉर्म में लिख सकते हैं अतः 5+3√2=P/Q 3√2=P/Q-5 √2=P/Q-5/3 HENCE √2 IS A. RATIONAL NUMBERBECAUSE IT IS EQUAL TO THE P BY Q FORM अतः यह सिद्ध हुआ की √2एक परिमेय संख्या है क्योंकि हम इसको p/q की फार्म में लिख सकते हैं परंतु हमें ज्ञात है रूट 2 एक अपरिमेय संख्या है अतः हमारी संभावना गलत है इस प्रकार हम ने यह सिद्ध कर दिया की 5 प्लस 3 रूट 2 एक अपरिमेय संख्या है |
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| 6. |
14. Ipu = 3 + 25 find the value of x-).U |
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| 7. |
A litre of milk costs?22 스. Find the cost of11-litres of milk11) |
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| 8. |
A and B are symmetric matricesmmetric matrix.valuate : j 8+x-x2dxvaluate: tan3 x dxnd the differential equation of al |
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Answer» ∫tan^3(x) dx from 0 to pi/4 ∫tan(x)*tan²(x) dx from 0 to pi/4 ∫tan(x)*(sec²(x)-1) dx from 0 to pi/4 =tan²(x)/2 + ln|cos(x)| evaluated from 0 to pi/4 =1/2 + ln(√2/2) Thanks |
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| 9. |
10.Give an example of a relation. Which is(i) Symmetric but neither reflexive nor transitive.(in) Transitive but neither reflexive nor symmetric.(ii) Reflexive and symmetric but not transitive.(iv) Reflexive and transitive but not symmetric.(v) Symmetric and transitive but not reflexive. |
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| 10. |
(11)A litre of milk costs 22-Find the cost of11- litres of milk |
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Answer» cost of 1litre=Rs 22 1/2 cost of 11 1/3 litre=22 1/2 ×11 1/3=45/2 ×34/3 =1530/6=Rs255 |
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| 11. |
I- litre of milk costsCOSTS3. How much would 1 litre of mulk cost5. How mu |
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Answer» 20 rupees for one litre of milk. |
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| 12. |
)A litre of milk costs 22Find the cost of11 litres of millk |
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| 13. |
concurrence usw an obtuse angled A STV. Draw its medians and show the centroid |
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Answer» SC, BV, AT are medians and D is centroid. SC, BV, AT are medians and D is centroid. |
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| 14. |
यदि A और B एक ही कोटि 3 के वर्ग आव्यूह हैं और [A] = 2 तथा AB = 21 है, तो |B| का मानलिखिए।If A and B are square matrices of the same order 3, such that Al = 2 and AB = 21,write the value of B- |
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| 15. |
What is the number of the possible square matrices of order 3 witheach entry 0 or 1? |
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Answer» The number of all possible matrices of order 3 x 3 with each entry 0 or 1 is. A matrix of order 3 x 3 has9elements. Now each element can be 0 or 1. |
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| 16. |
2S -S342 22 |
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| 17. |
सिद्ध करें कि 342 अपरिमेय है। |
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| 18. |
Find the values of following determinants.2 5-7 0 |
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Answer» 1) (-1) × (4) - 7 × 2-4 - 14-18 2) 5 × 0 - (3) × (-7) 0 + 21 21 3) 7/3 × 1/2 - 5/3 × 3/2 7/6 - 5/2 (7 - 15)/6 -8/6 -4/3 Ok |
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| 19. |
Simplify342 1 1320-V5 |
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| 20. |
Find-the-values 3) a and lbeachinthe jollouotnd342 5 |
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| 21. |
the inverse of the following matrices :0 / 25U3 |
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Answer» 2 inverse is 15 inverse is 3-3 inverse is 5 and 1 inverse is 2so [1 -3] [5 2] |
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| 22. |
INCERTIf A and B are symmetric matricesis symmetricl |
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| 23. |
8. Find matrices A and B, if6 -6 04 2 12A-B=and 2B+A=32L-21-7 |
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| 24. |
What percent of 2kg 450g is 735g?1) 30%3) 40%What number when decreased by 16%become 378?1) 4003) 43075.2) 35%4) 33%76.2) 4504) 500IT& MEDICAL |
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Answer» 75. 2kg 450g = 2450gm so, x% of 2450=735 => x*2450/100 = 735 => x = 735*100/2450 = 30% 76. Let that no. be x , when decreased by 16% it remains (100-16)% = 84% so, 84% of x = 378=> 0.84x = 378=> x = 378/0.84 = 450 |
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| 25. |
What percent of 2kg 450g is 735g?1) 30%3) 40%What number when decreased by 16% willbecome 378?1) 4003) 43075.2) 35%4) 33%76.2) 4504) 500 |
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Answer» correct answer |
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| 26. |
Find the values of following determinants\left| \begin{array}{cc}{-1} & {7} \\ {2} & {4}\end{array}\right| \quad \text { (2) } \left| \begin{array}{cc}{5} & {3} \\ {-7} & {0}\end{array}\right| |
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| 27. |
4. Find the values of each of the followingdeterminants. |
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| 28. |
\frac{356}{2}[2 \times 1105+(355 \times 25] |
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| 29. |
-116281 %2B 342^2 |
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Answer» 342+341=683 is the answer of this question I think answer must be 683 (342)² - (341)(a+b) (a-b) (342+341) (342-341)683*1683 therefore 683 is correct answer |
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| 30. |
= V2 (where aR-), then a us equal w .imC)(B)3422/2 |
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| 31. |
i 35% of 342-342% of 13.5?(1) 411.13(2) 412.23(3) 413.33(4) 414.43(5) 415.53 |
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Answer» 135*342/100 - 342*13.5/100 = 46170-4617/100 = 41553/100 = 415.53 Like my answer if you find it useful! |
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| 32. |
h of the given values of x and y make the following pair of matrices equal3x +75y+1 2 -3 x8 49. Whic(A)7(B) Not possible to find2(C) y-7, x(D) x-3., у23 |
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| 33. |
1. For the following matrices, find the givenscalar multiplications.51027(1) A= 3 1 4 , find 2A.1506) |
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Answer» multiply the matrics with 2 |
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| 34. |
EXERCISFind the adjoint of the following matrices[1ć35Gi 2(0u |
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Answer» for cofactor |
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| 35. |
A-L] and.R=[^2 7), find matrices x such that 2A + x = 8 |
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| 36. |
I ^ { 3 } + 2 ^ { 3 } + 3 ^ { 3 } + \dots + k ^ { 3 } = 6084 |
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| 37. |
k*x %2B 3*y=k - 3 |
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Answer» The given system of equations: kx + 3y = 3 kx + 3y - 3 = 0 ….(i) 12x + ky = 6 12x + ky - 6 = 0 ….(ii) These equations are of the following form: a1x+b1y+c1 = 0, a2x+b2y+c2 = 0 where, a1 = k, b1= 3, c1 = -3 and a2 = 12, b2 = k, c2 = –6 In order that the given system has no solution, we must have: |
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| 38. |
\frac 1 2 [ 2 ( k %2B 3 ) %2B 4 ( - 3 - 3 ) %2B 6 ( 3 - k ) ] = 0 |
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Answer» 1/2[2(k + 3)+ 4(-3-3) + 6(3-k)] = 02k + 6 - 24 + 18 - 6k = 02k + 24 - 24 - 6k = 0-4k = 0k = 0 |
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| 39. |
5. If a,ß are zeroes of a quadratic polynomial 2x2 + 5x + k, find the value of k such that(a +B)2 - aß = 24. |
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| 40. |
find non-singular matrices P&Q such that PAQ is in normal form |
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Answer» If I understand what you mean by normal form here, we would do the following series of operations (RRis row,CCis Column, and note the row operations are duplicated on the RHS3x33x3and Column Operations are duplicated on the4x44x4, while performing the operations listed below on the LHS, that is, the matrixAAitself): can u help me out of this can u help me out of this upload this image separately! |
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| 41. |
The largest non-negative integer k such that 24^k divides13! isA. 2B. 3C. 4D. 5 |
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| 42. |
Evaluate the following determinants3 4 10 |
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| 43. |
Evaluate the following determinants\left| \begin{array}{rrr}{1} & {2} & {4} \\ {2} & {3} & {7} \\ {3} & {4} & {10}\end{array}\right| |
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| 44. |
24. The point A divides the join of P (-5, 1) and Q (3, 5) in the ratio k: 1. Find the twovalues of k for which the area of Δ ABC where B is (1,5) and C (7,-2) is equal to2 units. |
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| 45. |
Find the scalar product of 5 i+ j-3 K3 i -4j+7AK |
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| 46. |
1. Let f (2) 4 and f (2) 4. thenlim 2)-2)xf (2)-2is given byc) -2d) 3b) -4 |
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| 47. |
Marked price 7,500 Discount 10 |
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| 48. |
Determinants12 22 34. 22 32 42prove that:ICBSE |
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Answer» determination |
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| 49. |
\left. \begin{array} { l } { 11 + 11 = 4 } \\ { 22 + 22 = 16 } \\ { 33 + 33 = ? } \end{array} \right. |
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Answer» 11+11=4^1=422+22=4^2=1633+33=4^3=64 11+11=422+22=1633+33=64 |
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| 50. |
A wholeseller supplies 52 kg of rice on firstday and 18 kg of rice on second day. If thecost of 1 kg. of rice is Rs. 50 per kg, how muchmoney will shopkeeper pay to wholeseller? |
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Answer» first day = 52*50=2600second day =18*50=900total pay=2600+900=3500 first day =52*50=2600second day=18*50=900total pay=2600+900=3500 3500 is the correct answer of the given question. 3500 is the correct answer of the given question |
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