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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. |
3. The ratio of the income to the expenditure of a family is 7:6. Find the savings itincome is Rs 1400. |
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| 2. |
4 The ratio of income to the expenditure of a family is 7:6. Find the savings if the income is Rs1400 |
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| 3. |
129/((2^2*(5^7*7^5))) |
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Answer» 129/4+78125+16807=129/84035=1.53 non terminating is the correct answer of the given question |
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| 4. |
(ि 3 o O, 129. 5...Rize गे उलर ५—t f et R |
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Answer» Terminating decimal expansion denominator can be expressed in form of 2m× 5n. Therefore, only second part will have non terminating decimal expansion. |
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| 5. |
6) Subtract: [-2y2+2y-3] from 7y2-2y+10. |
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Answer» 7y^2-2y+10-[-2y^2+1/2(y-3)]7y^2-2y+10+2y^2-y/2+3/29y^2-5y/2+23/2 |
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| 6. |
Construct a quadrilateral ABCDand <C = 60°.in which AB = 3.5 cm, BC = 5 cm. CD = 4.6 cm.LB=129 |
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1 -2 07 2 6If A 2 1 3 and B -2 1 -3 then find AB and hence solve the system of0 -2 1-4 2 5equations x-2y 102x + y+ 3z 8-2y +z 7 |
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| 8. |
10. If(y-3) is a factor ofy^3-2y^2-9y+ 18 then find the other two factors. |
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Answer» y-3 is one of the factorso y^3-2y^2-9y+18=y^3-3y^2+y^2-3y-6y+18=y^2(y-3)+y(y-3)-6(y-3)=(y-3)(y^2+y-6)=(y-3)(y+3)(y-2)so other two factors are (y+3) and (y-2) |
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| 9. |
65TKind |
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| 10. |
LA T &TN b bt S[N Tk, |45y fi |
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Answer» 245+ 321-------------- 5 6 6 566 is the answer of that equation 245+ 321----------566 245+321----------566--------- 245+ 321 ________ 566 |
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| 11. |
b बनe i डी5:15:D VIS £ Tk fe |
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| 12. |
Tk-(g-)d2k 12+ Xpp + X6C +âjg = (Iyds |
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Answer» p(-2) = 6(-2)^3+29(-2)^2+44(-2)+21 p(-2) = 6(-8)+29(4)+44(-2)+21 p(-2) = -48+116-88+21 p(-2) = 1 Like my answer if you find it useful! |
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| 13. |
L. Draw the graph of each of the following linear equations in two variables:o) xty 4(i) x-y 2(iii) y-3x |
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| 14. |
In the island country of Xanadu, located between here and nowhere, the birth rate iszero. What would you predict the average family income to be? (Choose the best answe$53,406$8,167$40,706$47,306 |
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Answer» it should be lowest as birth rate is 0means thay are poor Rohit Jain is correct man fully agreed even I was supposed to give that answer |
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| 15. |
6) In which country is NASA situated?IU S A /UK] |
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Answer» NASA is situated in USA. |
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| 16. |
gf think of a number, multiply it by 4 and subtract 15 from it. Then the answer lthat when I multiply the number by 3 and subtract it from 34. Find the numI get is the samr I thought ofe as1 750 |
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Answer» (4*x) - 15 = 34 - (3*x) 4x+3x = 34+15 7x = 49 x = 49/7 x = 7 Like my answer if you find it useful! |
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| 17. |
\begin{array} { l } { \text { Subtract: } } \\ { \text { (i) } - 5 y ^ { 2 } \text { from } y ^ { 2 } } \end{array} |
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Answer» i ) subtraction will bey² - (-5y²)y² + 5y² = 6y² |
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| 18. |
24. Construct a Î XYZ in which L V-30. I z-900 and XY + YZ + ZX1 l cm. |
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Answer» Draw a line segment AB of 11 cmConstruct 30° from A and 90° from BConstruct angle bisectors for both the anglesThey will meet at XDraw perpendicular line bisector for AX and BX .The both lines will meet AB at X and YJoin XY and XZXYZ is our required triangle. hit like if you find it useful |
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| 19. |
\begin{array} { l } { \text { 2. Subtract: } } \\ { \text { (i) } - 8 x y \text { from } 7 x y } \end{array} |
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Answer» i) -8xy + 7xy = -xy ( additon) |
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| 20. |
Triangle ABC is similar to triangle XY Z.Solve for p.1824162022.5 |
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| 21. |
\begin{array}{l}{\text { Subtract: }\left(-2 y^{2}+\frac{1}{2} y-3\right) \text { from }} \\ {7 y^{2}-2 y+10 \text { . }}\end{array} |
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| 22. |
18]- ० दर1900 + UE} + | = elooe———UlL 4 Q"fi“ |
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Answer» hit like if you find it useful |
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| 23. |
1. Subtract the following:\begin{array}{r}{463.29} \\ {-14.85} \\ \hline\end{array}\begin{array}{l}{178.015} \\ {129.904} \\ \hline\end{array} |
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| 24. |
16. A parcel weighs 56 g. Find the total weight of 4 dozen such parcels. |
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Answer» 1 parcel=56g4 dozen=48 parcel=48*56=2688 g=2.688kg 1 parcel=56 kg 1 dozen = 124 dozens=4*12= 48 =48*56= 2688 gram convert into kilo gram =2.688 kg right answer is 2.688 kg |
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95Q.6.In the fig., find the value of x.uexo150° |
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Answer» sum of all the angles around a point is = 360° so ATQ , => 3x+3x+x+150° = 360°=> 7x = 360-150=> 7x = 210°=> x = 210/7 = 30° 3x+3x+x+150 = 3607x = 360-150=> x = 210/7=> x =30° |
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| 26. |
1. Which of the following Europeancountries is known as the 'Land of aThousand Lakes'?a. Norwayb. Swedenc. Finlandd. Estonia |
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Answer» Finland is the right answer it's finland 'Land of thousand Lakes' Finland is the following question answer option C is the correct answer |
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| 27. |
Draw a bar graph :CountryBirth Rate 428 2135India UK Sweden |
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| 28. |
LINEAR EQUATIONS IN TWO VARIABLESence, the speed of the boat in still water is 8 km/h and the speed ofation : Verify that the solution satisfies the conditions of the probleEXERCISE 3.6lve the following pairs of equations by reducing them to a pair of linear1) 2x 3y11 133x 2y 62У-24y 23x- y 2(vi) 6x+3y 6xyxy8x+Ту-152x +4y-5xy10 23x y 3x- y2(3x+y) 2(3x.ate the following problems as a pair of equations, and hence f15 5-2itu can row downstream 20 km in 2 hours, and upstream 4 kmieed of rowing in still water and the speed of the current.women and 5 men can together finish an embroidery workrn and f men can finish it in 3 days. Find the time taken b |
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| 29. |
My friend, MacArthe five home, in the gardenlook of the pictures above and identify the different types of angles.Practice Set 21. Match the following.12. The measures of some angles are giveMeasure of Type of anglebelow. Write the type of each angle.the angle(1) 180°(a) Zero angle (1) 750 (2) 0°(2) 240° (b) Straight angle(3) 215 (4) 360°(3) 360° (c) Reflex angle (5) 180° (6) 120°(4) 0°(d) Complete angle (7) 148° (8) 90°3. Look at the figures below and write the type of each of the angles(a)(c)(d)Use a protractor to draw an acute angle, a right angle and an obtuse angle |
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Answer» Q11)180°- straight angle2)240° - reflex angle3)360° - complete angle4)0° - zero angle 1)75°- obtuse angle2)0°- zero angle 3)215°- reflex angle 4)360°- complete angle 5)180°- straight angle 6)120°-obtuse angle 7)148°-obtuse angle 9)90°- right angle a) acute angle b) right anglec) reflec angled) straight angle e) zero anglef) complete angle AcuteObtuseRightAcuteAcuteObtuseRightAcute |
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\left. \begin{array} { l } { \text { Subtract the sum of a } ( a + 2 b + c ) } \\ { - b ( a - b + 2 c ) \text { from } c ( - a - b + c ) } \end{array} \right. |
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Answer» answer is wrong |
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| 31. |
Draw the graph of each of the following linear equations in two variables:(1) Aty=4(i) x-y=2(iii) y = 3.x(iv) 3 = 2x+y |
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| 32. |
2. Form the pair of linear equations in the following problems, and find their solutions(if they exist) by the elimination method:(i)If we add 1 to the numerator and subtract 1 from the denominator, a fraction reducesto 1. It becomesif we only add 1 to the denominator. What is the fraction? |
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| 33. |
m t3000 us to ue ivem in the fothan looäť85 , tund the runnleon |
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| 34. |
10. It takes 1wrapa parcel and a half a minute to address it. How long doesit take to wrap and address 30 similar parcels? |
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| 35. |
Atable was sold foパ2142 at a gain of 5%. At what price should it be sold togain10%. |
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| 36. |
13. A man sold a watch fo Rs. 432 on some Ĺoss: Ifhe had sold the watch for (Rs. 516 then he hadgained equal to 1/3 of firstiloss. What is the costprice of the watch?A. Rs. 420C. Rs. 550B., Rs. 495D. Rs. 630 |
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Form the pair of linear equations in the following problems, and find their solutions(i) Ifwe add i to the numerator and subtract l from the denominator, afraction reducesto 1. It becomes if we only add 1 to the denominator. What is the fraction?(if they exist) by the elimination method: |
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Answer» Let numerator be x and denominator be y For first condition(x + 1) / (y - 1) = 1x + 1 = y - 1x - y = - 2......(1) For second conditionx/(y + 1) = 1/22x = y + 12x - y = 1.....(2) Subtract eq(1) from eq(2), we get 2x - x = 1 - (-2)x = 3 Put value of x = 3 in eq(1)3 - y = - 2y = 3+2 = 5 Therefore fraction = x/y = 3/5 |
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| 38. |
sin 120° cos 240° — cos 120° sin 240° - |
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Answer» sin(A-B)=sin A cos B - cos A sin BSo, given Equation changes tosin ( 120° - 240°) sin(-120)- sin (120°)- sin (120°)-√3/2 |
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57O LINEAR EQUATIONS IN TWO VARIABLESfollowing problems, and find their solutions2. Form the pair of linear equations in the following problems, aof they exist) by the elimination method:If we add to the numerator and subtract 1 from the denominatofrom the denominator, a fraction reducesto l. It becomes -we only add to the denominator. What is thethe denominator. What is the fraction?Intor Nuri will be twice as |
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| 40. |
9/L‘i’c% ;o e4 L b‘ 7नlo2e|नTk |
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| 41. |
bif a = 25-35 tk andĪ +25-3k thenvalue of a b is |
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| 42. |
Ex 24 wyelist covers a distance of 750 m in 2 min 30 sec. What is the speed akm/hr of the eyelist?(R.R.B. 2002750) |
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Answer» 18 km/hr is the right answer of the following |
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| 43. |
R T W g AP T e L . रञxp xg uey (9 +X)ueI( ~ x)ue} Iaqen[m\g/{ \ |
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Answer» hit like if you find it useful |
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| 44. |
B T R J A L" 4 18U UALD)o {puoe UE 5] (0० 2) 40 980K oquun fruop पर हो ¢Lo e S e Y o e |
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Answer» Let 2+√3 is a rational number.A rational number can be written in the form of p/q.2+√3=p/q√3=p/q-2√3=(p-2q)/qp,q are integers then (p-2q)/q is a rational number.But this contradicts the fact that √3 is an irrational number.So,our supposition is false.Therefore,2+√3 is an irrational number.Hence proved. |
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| 45. |
cfis. Had i been Sold fowouldue been)cm l |
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Answer» Method 1let the CP be Rs xnow, gain % =15%gain = 15x/100 =3x/20so, SP =CP + gain = x+ 3x/20 = 23x/20now, if SP = 23x/20 + 108gain % = 20gain = 20x/100 = x/5SP = x+x/5 = 6x/5but SP =23x/20 + 108so,23x/20 + 108 = 6x/5⇒6x/5 - 23x/20 = 108⇒x/20 = 108⇒x = 2160so, CP = Rs 2160 |
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| 46. |
a. I the cost of 30 packets of 8 pencils each is600. what is the cost of 25 packets of 12pencils each?a) 725(b)て750(c)480d) 720 |
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| 47. |
to add and subtract like fraction numerator while the _______remains same |
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Answer» Denominator |
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| 48. |
The numerator of a fraction is 2 less than the denominator. If 1 is added to both numerator and denominator the sum of new and original fraction is 19/15. Find the original fraction. |
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Answer» Let numerator be xThen denominator=x+2(becauuse numerator is 2 less than it)If 1 is added to both. Thenx+1/x+2+1=19/15x+1/x+3=19/1515(x+1)=19(x+3)15x + 15=19x + 5715x-19x=57-15. |
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| 49. |
' -1कि एक,L1434 443 '= |
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| 50. |
750+750240+240 |
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Answer» the answer to the questions 750 + 750= 1500 and 240 + 240=480 |
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