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. |
ă 47-4760 4084-05 tens +4 ones |
|
Answer» 47-47 = 0 60-40 = 20 84-0 = 84 5 tens + 4 ones = 54 |
|
| 2. |
3) 3Diy 9 |
|
Answer» 9(sec^2-tan^2)=9(1)=9 |
|
| 3. |
32. If f: RR is defined by)then fof(2) is given by2291029355 |
|
Answer» thank you |
|
| 4. |
\int_{0}^{\frac{\pi}{4}} \frac{\sin x+\cos x}{9+16 \sin 2 x} d x |
| Answer» | |
| 5. |
0, 10S |
|
Answer» n=7 |
|
| 6. |
BL(Hint: Compare AAPB and AAU9. In the adjacent figure AABC, D is the midpoint of BcDEI AB. DFLAC and DE=DE Show that ABED=annosite side, prove that |
| Answer» | |
| 7. |
3000 is lent out at 9% rate of interest. Find the interest which will be recievedat the end of 2/2 years. |
|
Answer» 675rupees is correct and perfect answer p = 3000r = 9 %t = 2 1/2 yearssi = p*r*t/100I = 3000*9*1/100*2= 135 135 *5 = 675 is answer of questions as time =2.5 years principal = 3000 rate = 9%so interest= p×r×t/100 = 3000×2.5×9/100 =675ruppies |
|
| 8. |
Anil borrows 8000 at 6% and * 5000 at5% from Madan. How much interest will hepay after 4 years? |
|
Answer» INTEREST= 8000x6x4/100=RS. 1920 INTERST 2= 5000x5x4/100= RS. 1000 total interest= rs. 2920 |
|
| 9. |
n ^ { 2 } x - 7 \operatorname { sin } x \operatorname { cos } x + 16 \operatorname { cos } ^ { 2 } x = 4 |
| Answer» | |
| 10. |
. Iof (d+bhr廴2b(a +cir+ (b4d)=0 are real and equal then a, b, e are in) A.P3. The equa2) Н.Р.3)G.Р.interval4) A.G.P1) (0, 2T |
|
Answer» If the roots of the equation ( a2 + b2 ) x2 - 2 ( ac + bd ) x + ( c2 + d2 ) =0 are equal prove that a/ b = c/ d . here 2 denotes square ( a² + b²)x² -2( ab + cd)x +( c² + d²) = 0 roots are equal so, D = b² -4ac =0 {2(ab + cd)}² -4(a² +b²)(c² + d²) =0 4(ab+ cd)² -4(a² + b²)(c²+ d²) =0 ( a²b²+c²d² +2abcd ) -a²c²-a²d²-b²d² -b²c² =0 -a²c² -b²d² + 2abcd =0 -( a²c² + b²d² -2abcd) =0 {(ac-bd)²} =0 ac -bd =0 ac = bd a/b = d/c similar ques, might help! By this result how can we say that a, b, c are in ap or gp or hp or agp And u don't solve that question which I have posted |
|
| 11. |
sin x sin 2x sin 3x |
|
Answer» 1 2 3 |
|
| 12. |
ABC and BDE are two equilateral triangles and D is themid-point of BC. The ratio of areas of the triangles ABCand BDE is |
|
Answer» thank you so much |
|
| 13. |
ABC and BDE are two equilateral triangles such that D is the mid-point of BC. Ratioofthe areas of triangles ABC and BDE is8. |
| Answer» | |
| 14. |
16. The arithmetic mean of a series of 20 items wasăcalculated as 20. While calculating it, an item 13was measured as 30. The correct arithmetic mean1S |
|
Answer» Total of these values = mean x number of items = 20 x 20 = 400.Now 13 was taken as 30, so the sum is 17 in excess.Actual sum = 400 - 17 = 383Mean = 383/20 = 19.15 |
|
| 15. |
AP में a = 7,413 = 35 तो d और S13 ज्ञात कीजिए। |
|
Answer» S13 = 7 + (13-1)d = 7 + 12d =13;; 12d = 13-7=6, d = 6/12=1/2; |
|
| 16. |
Triangles ABC and DEF are similar. If AC = 19 cmand DF = 8 cm, the ratio of the area of twotriangles are : |
| Answer» | |
| 17. |
3. Shotw mlit into four triangles of equal llea.In Fig. 9.24, ABC and ABD are two triangles onthe same base AB. If line- segment CD is bisectedby AB at O, show that ar(ABC)- ar (ABD). |
|
Answer» thnx |
|
| 18. |
C=9.1 cm anrimeter of △ABC.uer otthe adjoining figure, ABCD i。apezium in which CDI| ABagonals intersect at O. If A0 5x-7con,(2x+1) cm, g (7x-5) cm and7x +1) cm, find the value of |
|
Answer» I think is not correct. please define clear ly |
|
| 19. |
3.Show tnatl tit into four triangles of equlIn Fig. 9.24, ABC and ABD are two triangles onthe same base AB. If line- segment CD is bisectedby AB at O, show that ar(ABC)-ar (ABD).4. |
| Answer» | |
| 20. |
In the adjacent figure ∆ABC and ∆DBC are twotriangles such that AB= BD and AC= CDShow that ∆ABC~ ∆DBC |
|
Answer» in triangleAB = BD (given)AC= CD(given)BC= BC (comman)hence these two triangles are congruent Given AB=BD AC=CD BC=CB comman side than both triangle are congrent ∆ABC CONGRANT ∆DBC |
|
| 21. |
the pair of angles which are equal and7. When a transversal intersects a pair of parallel lines, name the pair of anglesthe pairs which are supplementary. |
|
Answer» If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel. Interior Angles on the Same Side of the Transversal: The name is a description of the "location" of the these angles. |
|
| 22. |
2.Find the principal value of:mos" (co325) + sin sin ?=) |
| Answer» | |
| 23. |
If 35 kg of rice cost ₹1505, find the cost of 1 quintal of rice. |
| Answer» | |
| 24. |
Madan Lal receives a certain amount of money on his retirement from his employer. He gives half ofthis money and an additional sum of 10,000 to his daughter. He also gives one-third of the moneyrecieved and an additional sum of R 3000 to his son. If the daughter gets twice as much as the son, findthe amount of money Madan Lal recieved on his retirement13. |
|
Answer» thus received amount is 24000 rs |
|
| 25. |
EXERCISE 7.1Find an anti derivative (or integra) of the following functions by the method of inspection.1. sin 2x2. cos 3.x5 sin 2x-44. (ax + b) |
|
Answer» don't knowggyuyfrygcxseuihfsstjvvhjvfyuh ans1 : -1/2*cos2xans2: 1/3 *sin3xans3: 1/2* e^2xans4: 1/3a* (ax+b)³ans5: -1/2*cos2x - 1/12*e^3x |
|
| 26. |
t/4sin X coS X16 + 9 sin 2xdx0 |
|
Answer» Like my answer if you find it useful! |
|
| 27. |
29 If the mid point of the line segment joining the points (3,4) and (k, 7) lies on the straight line 2x+ 2y+ 1-0then the value of k is -a) 15. b)-15, c) 5, d) 10. |
| Answer» | |
| 28. |
Round off the following numbers to the nearest ten:(a) 29(b) 47(e) 295(1) 764(g) 2152(i) 78257(0) 92135(k) 72581(d) 134(h) 1546(1) 87964 |
|
Answer» answer is very easy but revise it and then do you or yourself 1)30 2)50 3)100. 4)130. 5)300. 6) 760. 7)2150. 8)1550. 9)78260 10)92140. 11)72580. 12)87960 3050💯1303007602150155078260921407258087960 answer is a. 30b. 50c. 100d. 130e. 300f. 760g. 2150h. 11550i. 78260j.92140K. 72580l. 87960 |
|
| 29. |
lf 35 kg of rice cost 1505, find the cost of 1 quintal of rice. |
|
Answer» thanks for answer |
|
| 30. |
12. Write the first six terms of each of followingsequences:an-1i) a7lora, = 4, an +1 = 2nan |
|
Answer» given a1 = 4. And a(n+1) = 2naⁿ so, a2 = 2*2*a1 = 4*4 = 16 a3 = 2*3*a2 = 96a4 = 2*4*96 = 768a5 = 2*5*768 = 7680a6= 2*6*7680 = 92160 |
|
| 31. |
if 35 kg of rice cost ₹1505,find the cost of 1 quintal of rice. |
|
Answer» 1 quintal means 100 kgHence 100 kg price =(1505×100)%35=4300 |
|
| 32. |
If the arithmetic mean of 7, 9, 11, 13, x, 2l is 13, findthe value of x.7. |
| Answer» | |
| 33. |
a=7, a_{13}=35, \text { find } d \text { and } D_{13} |
| Answer» | |
| 34. |
3. A solid wooden toy is in the shape of a right circular cone mounted on a hemisphera lturadius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 om, find evolume of the wooden toy. |
| Answer» | |
| 35. |
A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of thehemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of wooden toy12. |
| Answer» | |
| 36. |
A conical tent is 10 m high and the radius of its base is 24 m. Find) slant height of the tent.(i) cost of the canvas required to make the tent, if the cost of I m' canvas is Rs 70, |
| Answer» | |
| 37. |
A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. Ifthe radius of the hemisphere is 4.2 cm. and the total height of the toy is 10.2 cm, find thevolume of the wooden toy9. |
| Answer» | |
| 38. |
IS In aparallelogram, show that the angle bisector of two adjacent angles intersect tright angles |
| Answer» | |
| 39. |
Two adjacent angles of a parallelogram are equal. What is the measure of each ofthese angles?2. |
|
Answer» Let the angles be x,x. Adjacent angles of a parallelogram = 180; So, x + x = 180; 2x = 180; x = 90. |
|
| 40. |
Q.19. a) Find the complementary angle of 79 |
|
Answer» The sum of complementary angles is 90°.x+79=90x=11° |
|
| 41. |
du uIconসেমিনারে ইকুক।Original Dple দ্বারা Ver]id, M.P.EdERHow many z5 notescan be exchangedfor a 50 rode?ISO15%DCife S1,000/->007--50% al89,50%,STITE* PE58. Purulia /# সুম সor Inআবশ্যকতা নেই।কম অতিরিক্ত টাকা ও*af 80 nol. non attending |
|
Answer» no of note = 50/5=1010 note of rs 5 will exchange for rs50 the right answer is 10 notes the right answer is 10 notes divide 50 by 2 you get 10it means u can exchange 10 notesanswer 10 notes 50/5=10 notes can be exchanged 10 notes of 5Rs is right answer 10 notes of 5 rupees is right answer 10 notes of 5$ make 50$ |
|
| 42. |
complementaryangle of the following angles(b) 65°(a) 42°(c) 39° |
|
Answer» (a) 90 - 42 = 48° (b) 90 - 65 = 25° (c) 90 - 39 = 51° |
|
| 43. |
(C) 113) Measure of complementary angle of 32° is |
| Answer» | |
| 44. |
argies f the quadiiatola. The two adjacent angles of a quadrilateral are 80° and 120The other two angles are equal. Find them. |
|
Answer» Sum of all angles is 360Two angles are 80 and 120other two angles are equal (let x)x+x+80+120=3602x=360-(120+80)2x=360-2002x=160x=80 |
|
| 45. |
19. The radii of the circles are given. Find their diameters.(a) 8 cm (b) 10 cm (c) 15 cm (d) 9 dm102,. |
|
Answer» (a) 16 cm(b) 20 cm(c) 30 cm(d) 18 dm(e) 4 m a.16cmb.20 cmc.30 cmd.18dme.4m |
|
| 46. |
aual. Find 137. Two adjacent angles of a paralelogram are eqall the angles of the parallelogram. |
| Answer» | |
| 47. |
कक om0 2D 6ANSWERS |
|
Answer» Like my answer if you find it useful! |
|
| 48. |
C.P of 35 Kg Rice is 1505 Find C.P Of 1 Kg Rice. |
|
Answer» CP of 35 kg rice = Rs 1505 => CP of 1 kg rice = Rs 1505/35 =Rs 43 Thus, 1kg rice costs 43 rupees. |
|
| 49. |
Two adjacent angles of a parallelogram have equal measure. Find themeasure of each of the angles of the parallelogram6. |
|
Answer» Let the angles be x,x,y,y as opposite angles of a parallelogram are equalHence given that two adjacent angles are equalhence X=yThis means all angles are equal Hence For this each angle would measure 360/4=90° |
|
| 50. |
the price of one kg rice is rs 70 find cost of 10 kg rice |
|
Answer» 1kg= RS 7010kg = ? 10×70= RS 700 cost of 10kg rice is RS 700. |
|