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.
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1. Out of 125 votes, 95 are valid. What per cent of votes is not valid? |
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Answer» out of 125, 95 are valid so 30 not valid not valid percentage = 30*100/125 = 30×4/5 = 24% 125 -95=30 votes are not valid thnx |
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| 2. |
Explain Newton's first law of motion. |
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Answer» Newton's first law:An object at rest remains at rest, or if in motion, remains in motion at a constant velocity unless acted on by a net external force. please like the solution 👍 ✔️ |
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| 3. |
In an election a candidate got 65% of the total valid votes, 8% of the total votes weredeclared invalid. If the total number of votes cost was 6,00,000. Find the number ofvalid votes polled in favour of the candidate |
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Answer» total votes = 6000008% invalid⇒92% valid votes=92X600000/100=552000candidate got 65% of the valid votesso he got=65X552000/100=358800 thanks |
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| 4. |
cample 3: Factorise 6xy -4y + 6-9x. |
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| 5. |
के... ही 2l g kak . |
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| 6. |
Example 3: Factorise 6ry - 4y 6-9x. |
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| 7. |
Solve the equation 3x +2 8x-8 and represent the solution on(ii) The Cartesian plane(i) The number linef the |
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Answer» thankyou |
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| 8. |
2l>0, then r belongs2If |
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Answer» x> 2 to make the denominator +ve , as modulus is always so, |
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| 9. |
4 Check graphically whether the pair of equationsx +3y62x 3y 12 |
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Answer» Please hit the like button if this helped you |
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| 10. |
17) Solve graphically and state whether the equations have unique solution or not.2x - 3y = 6 and x + y = 1 |
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Answer» x= 9/5 and y= -4/5thanks |
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| 11. |
3Factorise.(i)x2 + xy+8x+8 |
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| 12. |
Satve equations 8x – 3y = 13 and 3x + 2 = 8900AO |
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| 13. |
a) I109. The value of 8x8-24is: S(d) none of these(a) -6(b) 3 |
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| 14. |
16: Show that the cube of any positive integer is of the form 4m, 4ni+ 1 or4n+3 for some integer1. |
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| 15. |
State if triangles are possible with the following angles:(i) 30°, 60° and 90°(iii) 60°, 60° and 50°(ii) 40°, 130° and 300(iv) 120°, 40° and 20° |
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Answer» : i and iv is possible, as the sum of angles is 180, for rest two its not 180 |
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| 16. |
. State if triangles are possible with the following angles:030°, 60° and 90°u) 60 60% and 50(ii) 40°, 130° and 30°(iv) 120°, 40 and 20 |
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Answer» i and iv is possible, as the sum of angles is 180, for rest two its not 180 |
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| 17. |
show that the square of any positive integer of the form 5 Cube + 1 is of the same form when Q is some integer |
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Answer» Let x be any positive integerThen x = 5q or x = 5q+1 or x = 5q+4 for integer x.If x = 5q, x^2= (5q)^2= 25q^2= 5(5q^2) = 5n (where n = 5q^2)If x = 5q+1, x^2= (5q+1)^2= 25q^2+10q+1 = 5(5q^2+2q)+1 = 5n+1 (where n = 5q^2+2q )If x = 5q+4, x^2= (5q+4)^2= 25q^2+40q+16 = 5(5q^2+ 8q + 3)+ 1 = 5n+1 (where n = 5q^2+8q+3 )∴in each of three cases x^2is either of the form 5q or 5q+1or 5q+4 and for integer q. |
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| 18. |
13. Find x and y in the following figure.УЛЕ300 DE30°D0 |
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Answer» reshma weight from 80 kilogram to 56 program find the practical percentage decrease value of x= 60 . y=90 is correct answer. x= 60,y=120 is the correct answer x=60° y=90° value is correct |
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| 19. |
Q. 13) Solve the equations graphically : 2x + y-2-2y-x-4.What-is the area of the triangle formed by theTwo lines and the line y = 0? |
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| 20. |
Ifso,solveCheck graphically whether the pair of equations x+3y-6 and 2x-3y-12 is consistent.them graphically. |
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| 21. |
EV9. Triangles[Congruency in Triangles]46.) In the given figure, D is mid-point of AB.DE//BC and DFIIAC. Prove that : DE = BF.50. EDO |
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Answer» Since df || ec So,de=fcAnd f is midpoint of bcSo bf=fcSo,de=bf |
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| 22. |
gL+ 3y =84x + 6y =7 |
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| 23. |
Solve the following linear equations for the unknown variable and verify the solutions22x = 30 - 4x0.25 (4x – 5) = 0.75x +8 |
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Answer» (1) 6x = 30 - 4x 6x + 4x = 30 10x = 30 x = 30/10 = 3 (2) 0.25(4x - 5) = 0.75x + 8 1/4(4x - 5) = 3/4 x + 8 x - 5/4 = 3x/4 + 8 x - 3x/4 = 8 + 5/4 (4x - 3x)/4 = (32 + 5)/4 x/4 = 37/4 x = 37 |
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| 24. |
4x+8=2x-6 |
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Answer» x=-7 is the correct answer X=-7.......................... -7 is the correct answer. -7 is right answer4*(-7)+8=2*(-7)_6-20=-20 X=-7 Ans. X=-7 is the right answer x is equal to minus 7 answer 4*+8=2*-6 4*-2*=-6-82*=-14*=-14/2*=-7 4x+8=2x-64x-2x=-6-82x=-14x=-14/2x=-7 4x + 8 = 2x - 64x - 2x = - 8 - 62x = - 14x = - 14 / 2x = -7 -7 is the correct answer x-7 is correct answered |
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| 25. |
4x + 8 = 20 |
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Answer» 4x=20-84x=12X=12/4=3x=3 4x=20-84x=12x=12÷4x=3 |
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| 26. |
17) Show that the following integers are cubes of negative integers. Also, find the integerwhose cube is the given integer.(i) -5832(ii) -2744000 |
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| 27. |
What is his starting salary ahd What ig the aai2) The difference between two positive integers is 2 and the difference between their cubesis 56. Find the numbers. |
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Answer» which formula have u applied for the second step?? I have written the formula there.I just substituted values. how???(a+b)^2-(a-b)^2=4ab.... I got it... |
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| 28. |
A water body is of cuboidal shape of (Cuboid is a right angled parllelo pipped). Itslength 20 m. When 18 /. water is taken out of the water body, its level goes downby 15 cm. Find the breadth of the water body. |
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Answer» 18 litre = 18000cm^3=15*2000*bB=3/5cm |
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| 29. |
Solve the pair of equations :4x - y = 7 and 2x + y = 13 graphically. |
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| 30. |
Solve the following pair of equations graphically and find the vertices of thetriangle formed by these lines and the x-axis:19.4x-3y+4 0, 4x3y-20-0 |
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| 31. |
Find the value ofthe unknown 'in the following trianglesde3060 |
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Answer» i) sum of interior angles of a triangle = 180=> x + 50° + 60° = 180° x + 110° = 180° x = 180° - 110° x = 70° sum of interior angles of a triangle = 180=> x + 30° + 90° = 180° x + 120° = 180° x = 180° - 120° x = 60° tanks please say answer for other question |
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| 32. |
5 pencils and 7 pens together cost195 while 7 pencils and 5 penstogether cost ₹153. Find the cost of each one of the pencil and the pen.Solve the following system of equations graphically:2x-3y =1, 4x-3y +1= 0 |
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| 33. |
2x-3y=84x-2y=12 |
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| 34. |
Which ofthe following are the cubes of negative integers?a. -270003.b. -34300 |
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Answer» option (a)-27000=cube root(-27000) =-30since,cube (3)=27 |
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| 35. |
Solve each system of eqution-4x-2y-88x +4y-12 |
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Answer» -4x - 2y = 8 ......(1)8x + 4y = -12 ......(2) 2 × eq(1) + eq(2) 0 = 4so absurd, no solution exist |
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| 36. |
In the given figure, ABAC, BDEC, Prove that ΔΑΒΕ/ACD and ADAE. |
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Answer» triangle ABE is congruent to Triangle A CD by CPCT As AB = AC so angle B = angle C so SAS rule ABD is congurent to ACE therefore.Add common part ADE on ABD and ACE so we get ABE is congurent to ACD . By CPCT AD is equal to AE |
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| 37. |
8. In the given figure, ZCAB- 40, AC - AB and BC BD. Find:(i) LCDB(1) ZACB40°B- |
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| 38. |
Solve the pair of equations graphically4x-y=4 and 3x+2y=1412 |
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Answer» 4x-y=4; 3x+2y=14; 3(4x-y=4); 12 x-3y=12; 4(3x+2y=14); 12x+8y=56; / -11y=44; y=44/11=4, 4x+y=4; 4x-4=4; 4x=4+4=8; x=8/4=2 X= 2 , y= 4 is the correct answer of the given question x=2 and y=4 is the correct answer |
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| 39. |
Find the value ofeach ofthe following expressions:(a) 3x + 8 when x 3(b) xy |
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Answer» 3*3+89+817 is the answer |
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| 40. |
Which expression is equal to /63y(Assume y is nonnegative.)7yv3y3yy7 |
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Answer» √(63y³) √(9 × 7 y³) 3y √(7) 2nd option is correct |
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| 41. |
14. Find the equation of the circle whose centre is (3,-1) and which cut-offan interceptof length 6 from the line 2x-5y+ 18 0. |
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| 42. |
is13. Find the equation of the circle whose centre(3,-1) and which makes an intercept of 6 unitson the line 2x - 5y+18 0. |
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| 43. |
prove 3+2√5 as irrational |
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| 44. |
14. Find the equation of the circle whose centre is (3,-1) and which cut-off an intercepof length 6 from the line 2x -5y + 18 0. |
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| 45. |
18. 3x -2y 124x -5y 16 |
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| 46. |
(4) 80,000which ofthe following alternative means that '20% of one number is equalto 25% of the other number'.18,(2) 6x = 4y(4) 2x-3y(I) 3y = 2x(3) 4x 5y |
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Answer» Let the numbers be x and y So, 20% of x = 20/100 × x = x/5 and 25% of y = 25/100 × y = y/4 According to question, x/5 = y/4 4x = 5y (3) option is correct |
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| 47. |
requenciess. Prove that a diameter AB of a circle bisects all those chords which are parallel to thlangent at the point AuRC Dand Fare the mid-points of the sides BC and AC respectivel |
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| 48. |
c- , prove thataGiven bdb a prove that 3-5b33a +5b 3c+5d |
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| 49. |
Ila linear graph?Side of square (in cm)Area (in cm2)432536164Is it a linear graph? |
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Answer» Observing the data we get that Area = side² So, it is not a straight line that means it is not linear. |
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| 50. |
, Ila the sum of the4 The area of a trapezium is 180 cm? and its height is 12 cm. If one of the parallel sides isdthe other, find the lengths of the parallel sides.. The area of a traeti |
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Answer» thanks yaar thank a lot |
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