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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. |
Choose the correct alternative answer for the following questions.(i) If two sides of a triangle are 5 cm and 1.5 cm, the lenght of its third side cannot be(A) 3.7 cm(B) 4.1 cm(C) 3.8 cm(D) 3.4 cm |
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Answer» The difference between two sides is less than third side5 – 1.5 = 3.5so the third side cannot be 3.4 cm |
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| 2. |
How many proper subsets in all are there of a set containing 3 elements?1.number 52 |
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Answer» There are2 subsetsof a set with one element. There are 4 subsets of a set with two elements. There are8 subsetsof a set with three elments. |
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| 3. |
1. Choose correct alternative for each of the following questions(1) To draw graph of 4x + 5y = 19, Find y when x = 1. |
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Answer» I don't know the answer 4(1) +5y=194+5y=195y=19-45y=15y=15/5y=5 for x =1,4x + 5y = 194(1) + 5y = 194 + 5y = 195y = 19-45y = 15y = 15/5y = 3 4x+5y=194×1+5y=194+5y=195y=19-45y=15y=15/5y=3y is 3 answer 4x+5y=19 , x = 14×1 +5y=19 4 +5y=195y=19_4 =155y =15 y= 15/5 =3y=3 |
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| 4. |
Q.1) Choose the correct alternative.(1x3-3i) If slope of a line is 1 then inclination isa)c) T |
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Answer» If the slope of the line is 1 then tanx=1 where X is the inclination it is clear that X is equals to π\4. Therefore option B is the correct answer. 2,3,5,7,11,13,?,19,23 |
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| 5. |
Choose and write the correct alternative.(1) Write the value of the determinant3 -1(A) I(B) 2(C) 3(D) 5 |
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| 6. |
Q1 AChoose and write the correct alternative.(1) Write the value of the determinant(A) 1(B) 2(C) 3(1) 5 |
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Answer» 3*1-(-1*2)= 5 is the answer 5 is right answer hai iska Answer=5 5 is the best answer 5 is the correct answer 5 is the correct answer of the given question |
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| 7. |
प्र.20कथन |: समीकरण sin px = x2-x+- के मूलो की संख्या2 है।कथन || : [0, 2T] में sinx = = के ठीक दो हल है। |
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Answer» Udzuxfksyisxxx yDjziydzouxxooozyYyoxoUuxyUgpJxyozozoofff India pm & cm & Mumbai cm |
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| 8. |
sin ax . limx>0 px |
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Answer» Lim. sin ax/bxx->0. Multiply and divide a Lim. (a)sin ax/bx(a)x->0. Lim. (a)sin ax/ax(b)x->0. Lim. (a/b)[sin ax/ax]x->0. (a/b)(1) =a/b sin ax/ax × ax / bx =1 × ax/ bx= a/b |
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| 9. |
If sin A and cos A are roots of the equation px? +qx+m=0, then the relation among p q and mis(A) q?+m=(p+m)?(B) q? - m2 = (p+ m)?(C) q? + m² = (p=m)?(D) of these |
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Answer» If sin A and cos A are roots of the equation px^2 + qx + m = 0 sinA + cosA = - q/p....... (1) sinA.cosA = m/p............(2) Squaring both sides of eq(1) (sinA + cosA)^2 = sin^2 A + cos^2 A + 2sinA.cosA (-q/p)^2 = 1 + 2*m/p q^2 = p^2 + 2mp q^2 + m^2 = p^2 + 2mp + m^2 q^2 + m^2 = (p + m)^2 (A) is correct option |
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| 10. |
u-Like Modd jest Papers29. In the figure, PQ -5 em and QR - 10 cm, findatics-Xand thearea isvisiondrawn10 cmd theP 5cm Q() sin P(ii) cos R and tan R(ii) sin Px cos Pthat(iv) sin2 P- cos2 p |
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| 11. |
Find two consecutive positive integers whoše sum is 63. |
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Answer» x+x+1=632x=63-1x=62/2x=31 31 is right answer of this question. please like my answer 31 is the correct answer |
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| 12. |
93. The product of two consecutive positive integers is 306. We need to find the integers |
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| 13. |
find two consecutive positive integers , sum of whose square is 365. |
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| 14. |
ii) The product of two consecutive positive integers is306. We need to find theintegersf their apes (in years) |
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| 15. |
Find two consecutive positive integers, sum of whose squares is 365 |
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| 16. |
the rational number 22/23 lies to the left 0 on number line |
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Answer» No. As, 22/23 is positive so it will be right side of 0 |
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| 17. |
find other number.21.Product of two rational numbers is 15, if one of them is22.- 132By what number -be divided so that quotient is 21.23.By what number 25 bbe divided so that quotient isClass-Vil/Mathemati |
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Answer» product=15one number=-2/3so.product=one no. × other no.15=-2/3 × other no.:. other no. = 15/-2 ×3 =-45/2 |
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| 18. |
to the sum of theconsecutive zeros in n.6, If the prime factorization of a natural number nthe number ofexponents of prime factors in the prime factoriprime tacis 23 x 32 x5 x 7,writCM |
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| 19. |
The difference between two rational numbers is -23/9 . If the smaller rational number is 5/9then find the larger rational number. |
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Answer» let the number be x and y and assume x>yso given y = 5/9x - y = -23/95/9 - y = -23/9y = (23+5)/9y = 28/9 |
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| 20. |
Arange the following rational numbers in descending order:. -10/11, -19/22, -23/33, -39/44 |
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Answer» - 10/11-19/22-23/33-39/44 |
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| 21. |
1showthat 22 is a rationalnumber |
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Answer» this cannot pe proved let 2root 2 is a rational no. therefore 2root 2 is a rational no. and 1/2 is a rational no. so (2root 2×1/2) is also a rational no. because product of two rationals is rationalit shows that root2 is rationalso our assumption is wrong Hence,2 root2 is an irrational no. |
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| 22. |
Q.9) A body is tied to one end of the string and whirled in a vertical circle , the physical quantitywhich remains constant is(a) Momentum(b) speed(c) kinctic energy(d) Total energy |
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Answer» Momentum(mv) remains constant when body is whirled in a vertical circle. wrong (b) |
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| 23. |
By which rational number would you multiply 7/23 to get product one |
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Answer» In which rationAl multiplied by his reciprocal we get the answer is always one7/23*23/7=1answer:- 23/7 answer of this question is 23/7 23/7 is the answer for the given question |
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| 24. |
-I(ShortAnswerTypeQuestion(i) 0.4704(ii) 0.572 |
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| 25. |
15x2-3Question Nos. 1 to 22 are short answer type. These questiorcarry 2 marks each. Answer any 15 questions only. 15x2-3Iff: R → R is defined by /(x)'= 2x + 7, where xe R def ne el |
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| 26. |
33 (C) -2 (D) 2CTION-II)1237on number 1 to22 are of short Answer typestion carry 2 marks: Answer any 15 question[ P.T. |
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Answer» thanks |
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| 27. |
State whether the rational number 17/8 will have a terminatingdecimal expansion or non-terminating repeating decimal expansion.) |
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| 28. |
4.AE+300 J while absorbing 400 J of heat energy and undergoirgA system undergoes a process in whichan expansion against 0.5 bar. What is the change in the volume (in L)? |
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| 29. |
7. Write whether the rational number 7/75 will have a terminating decimal expansion or aterminating repeating decimal expansion. |
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Answer» 75= 5*5*3...3 is found in denominator....therefore non terminating recurring decimal..a number in denominator should be a multiple of 2 or 5 or both to have a recurring decimal expansion. |
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| 30. |
3550Stae whether the rational number il have aterminating decimal expansion or a non-terminatingrepeating decimal expansion |
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Answer» 35/50 divide denominator and nominator both by 5 we get, 7/10 Factorize the denominator we get, 10=2 x 5 Denominator is in form of 2^n x5^m. So, 35/50 have terminating decimal expansion. |
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| 31. |
9*x^2 - 15*x %2B 6=0 |
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Answer» 9x^2-15x+6=9x^2-6x-9x+6=0; 3x(3x+2)-3(3x+2)=(3x+2)(3×-3), 3x=-2, x=-2/3; 3x=3; x=3/3=1 |
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| 32. |
(v) 3,2=15 , X #0 |
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Answer» x/3 + 3/x = 15/ xx^2 + 9 = 15*3x^2 = 45 - 9x^2 = 36x = 6 Value of x is 6 |
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| 33. |
56+1÷6 |
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Answer» 56.166666 may be ur ans & acc.to bodmas the ans is 9.33+1= 10.33 56.1666 but according. To bodmas 10.33 56.167 is correct answer of your question. 56.16 is the current answer |
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| 34. |
20.If(x+iy)' = a + ib , where x,y, a, b ER then show that=-2( a2 + b |
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Answer» after cubing given eqn we get x+iy=a^3-ib^3+3aib(a+ib) =a^3-ib^3+3a^2ib-3ab^2 =a^3-3ab^2+i(3a^2b-b^3) comparing x=a^3-3ab^2,y=3a^2b-b^3 x/a-y/b=a^2-3b^2+3a^2-b^2 =-2(a^2-b^2) |
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| 35. |
56) (1 + 6088) (1 + cot?9) + 1= |
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Answer» (1 - cos A)(1 + cos A) ( 1 + cot^2 A) + 1= (1 - cos^2 A) (1 + cot^2 A) + 1= sin^2 A (1 + cos^2 A/sin^2 A) + 1 We knowsin^2 A + cos^2 A = 1 Then, we get= sin^2 A + cos^2 A + 1= 1 + 1= 2 |
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| 36. |
FndxFiinecost of 2x articles is Rs(5x-54) while the cost of (x-2) articles is( |
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| 37. |
A carpenter wants to border a dining table measuring 4 m by 3 m with analuminium stip. If the cost of bordering s Rs 40 per metre, find te oalborde |
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Answer» For this find perimeterHence 2(l+b)=2(4+3)=2(7)=14mHence total cost will be 14*40=560rs |
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| 38. |
8. Simplifty 4 5 of 1+(25+5-2x 1) + (0.03 x 0.06 +0.03).(1) 53(2) 54(3) 1(4) 0 |
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Answer» 4 1/2 * (1 1/3 + 1/3 - 1) + (25÷5 - 2*1) ÷ (0.03*0.06÷0.03) = 9/2*(4/3 + 1/3 - 1) + (5 - 2) ÷ (0.03*2) = 9/2*(5-3/3) + 3÷(0.06) = 9/2*(2/3) + 300÷6 = 3 + 50 = 53 (1) is correct option |
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| 39. |
( x ^ { 2 } - 2 x ) ( 2 x - 2 ) - 9 \frac { 2 x - 2 } { x ^ { 2 } - 2 x } \leq 0 |
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Answer» its wrong |
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| 40. |
Which of the following has two equal roots?A) $ \quad x^{2}-2 x-1=0 \quad $ B) $ x^{2}-2 x+1=0 $ B) $ 2 x^{2}-2 x+1=0 \quad $ D) $ x^{2}-2 x-3=0 $ |
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Answer» B is an identity which says (x-1)^2=x^2-2x+1. |
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| 41. |
\frac{x^{2}}{\left(x^{2}+a^{2}\right)\left(x^{2}+b^{2}\right)}=k\left[\frac{a^{2}}{x^{2}+a^{2}}-\frac{b^{2}}{x^{2}+b^{2}}\right] |
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| 42. |
If.. x = (4√6/(√2 +√3)), then find the value(x+2√2/x-2√2) +(x+2√3/x-2√3) |
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Answer» very much nice |
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| 43. |
25 + 8114x2 = 565612(Taking the positive value)xEXve the following equations and check you(i) 10p-(3p-4) = 4(p + 1) +9 (ii)832 3)7x+3 2x -535.5) 22.8v=54 + v8.026x + 0.09x = |
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Answer» 7p+4 = 4p+13 3p = 9 p = 3 Please specify question that needs to be answered AAP konsi class me ho AAP d.v.p. me phadte ho kya |
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| 44. |
28) Simplify:3-5X 152x 2554 |
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| 45. |
= \varepsilon \times \varepsilon |
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Answer» This is your answer =9 The right answer is 9. |
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| 46. |
\frac t \varepsilon %2B \frac \varepsilon - I |
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| 47. |
1 A-dx+. 3 by e /mj%aul& 1 Qflflfi}?/ell’mfi B9 e 3 ही ् कर |
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| 48. |
\frac s \varepsilon - x = \frac \varepsilon S - x |
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Answer» x-5/3= x-3/55(x-5)=3(x-3)5x-25=3x-95x-3x=-9+252x=16x=16/2x=8 |
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| 49. |
\frac { 9 } { \varepsilon } v + \frac { \varepsilon } { l } z |
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| 50. |
I o Uelocgam RO ! (१-७४ * ५०6हक . 0७.14 MJ) 0 \ 4100 0 | क 0.52 179 84:AR |
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Answer» Explane it |
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