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. |
find the percentage increase in the area of a triangle of it each side doubled |
| Answer» | |
| 2. |
Nequalsidesis cm. its base.13Findo rodict f ter ge ianyears) will be 160. Find their present age. |
|
Answer» Like if it is useful |
|
| 3. |
ge (B) RIB (9) 8 (3) 905 () |
|
Answer» (କ) ସୁଦର୍ଶନ ଠିକ୍ ଉତ୍ତର। |
|
| 4. |
0. In a triangle, if the square on one side is equal to the sum of the squares on the other two sides,then prove that the angle opposite to the first side is a right angle.Use the adjoining figure theorem to find the measure of PKR in theadjoining figureTh2 ge63.Answers26 cm |
|
Answer» Given: A triangle ABC in which AC² = AB² + BC²To Prove: angleB = 90°. Construction: We construct a APQR right-angled at Q such that PQ= AB and QR = BC Proof: Now, from APQR, we have, PR² = PQ² + QR² [Pythagoras Theorem, as angleQ = 90°] or, PR²= AB²+ BC² [By construction] ...(i) But AC²= AB² + BC 2 [Given] ...(ii) So, AC² = PR² [From (i) and ii AC = PR ...(iii) Now, in triangle ABC and TrianglePQR, AB = PQ [By construction] BC = QR [By construction] AC = PR [Proved in (iii)] hit the like 👍✔️✔️ if you have understood |
|
| 5. |
15. In the adjoining figure, ABCD is aparallelogram in which the bisectors of LAand 4B intersect at a point P. Prove thatAPB = 90°. |
| Answer» | |
| 6. |
26.The mode of a moderately symmetrical series is 18 and mean is 24. Then median isa) 18b) 24c) 22d) 2127 Match the cou |
|
Answer» 3Median= Mode+2mean3Median = 18 + 2(24)3Median = 18 + 483Median = 66Median = 22 Find The Mode of 2'2;2;3;3;4;5;5;6;8 |
|
| 7. |
PAGE:DATE:Ifind the length of an arce ofla circle which subtends an angleof 108 at the centre of radiusof circle is 15 cm. |
|
Answer» angle=radius108=108π/180=3π/5 3π/5=Arc/159πcm=Arc28.28cm=Arc |
|
| 8. |
thesumofhrstmĂźlabieslJ10. Find the ratio in which P4, m) divides the line segment joining the points A(2, 3) and B(6, -3). Hence find m11 Iwo difffrent dice are tossed together. Find the probability:9. Find |
|
Answer» Applying section formula , Let λ is the ratio by which P divides the line joining A and B.x = (λx₂ + x₁)/(λ + 1) here , x = 4 , x₁ = 2 , x₂ = 6 Now, 4 = (6λ + 2)/(λ + 1)4(λ + 1) = 6λ + 2 4λ + 4 = 6λ + 2 2 = 2λ ⇒ λ = 1 Hence, p divides the line AB into 1 : 1 ratio. Now, for y - co - ordinate y = (λy₂ + y₁)/(λ + 1) m = (1 × -3 + 3)/(1 + 1) = 0Hence , m = 0 |
|
| 9. |
p4, If each side of a triangle is doubled, then find percentage increase in its area. |
| Answer» | |
| 10. |
The coordinates of the midpoint of the line segment joining the points P42) and S, 6) areD) (4, 2) |
|
Answer» Ley M(x, y) is mid point of line joining points P(-4, 2) and Q(8, 6) Then,x = (-4 + 8)/2 = 4/2 = 2y = (2 + 6)/2 = 8/2 = 4 Therefore coordinates of midpoint are (2, 4) (C) is correct option |
|
| 11. |
height 5 m. If the tank is completely filled, find the height La15. The circumference of the base of a right circular cylinder is 132 cm. Find the volume of the cylinder, if itshoight 1 m 96 cm is melted to make a certain number of dice, eadhheight is 22 cm. |
|
Answer» Circumference of base of cylinder = 2πr =132cm. =2×22/7×r r = 132×7/2×22 r = 21cm volume of cylinder = πr²h 22/7×21×21×22cm³ =30492cm³ thanks |
|
| 12. |
The students of class V of a school collected equally Rs 1510784 for Prime MinisterRelief Fund. Find the amount collected by each student if the number of studentsis 638. |
|
Answer» Amount collected by each student = Total amount collected/ Number of students = 1510784/638= Rs 2,368 Hence, each student collected Rs 2,368. |
|
| 13. |
3,37,875 for Prime Minister's Relief Fund.The students of a school collectedIf each child contributed(b)255, how many children are there in the school?[5 |
|
Answer» First we have to divide 337875 by 255 then will get answer as 1325 therefore answer is ..1325 student.. |
|
| 14. |
(3) 4932(4) 230. A school collected R 2304 as fees from itsstudents. If each student paid as many paire asthere were students in the school, how manystudents were there in the school? |
| Answer» | |
| 15. |
A school collected Rs 2100 for charity. It wasdecided to divide the money between anorphanage and a blind school in the ratio of3:4. How much money did each receive? |
| Answer» | |
| 16. |
53. A school collected Rs 2304 as fees from itsstudents. If each student paid as many paire asthere were students in the school, how manystudents were there in the school?(a) 240(c) 480(b) 460(d) 440 |
| Answer» | |
| 17. |
anyHow much money was collected from 1786 students of school forstudent contributed 7 625? |
| Answer» | |
| 18. |
w much money was collected from 1786 students of a school for a charity show if eadhdent contributed 75257 |
| Answer» | |
| 19. |
11. How much money was collected from 2786 students of a school for a charity show if eachstudent contributed 500 ? |
|
Answer» total number of students =2786contribution from each student =500 Rs.total contribution from 2786 students are 2786×500=13,93,000 Rs.plz like my answer thanks |
|
| 20. |
3. Verify whether the given statement is true or false(535)5 3514)her12 find the other |
|
Answer» class 9 of which school |
|
| 21. |
Choose the correct answers satisfying the following statements :Statement(A): The ratio of volumes of cone and cylinder of same base and sameHeight is 1:3Statement(B): The ratio of volumes of sphere and cone of same radius andSame height is 2:1a) A is false, B is trueb) A is true, B is falsec) Both A and B are trued) Both A and B are false |
|
Answer» A is true But is the false is the best answer (b) A is true, B is false is the correct answer |
|
| 22. |
AndleatAintrapezium ABCD if AB 18 cm, BC-10 cm, CD 12 cm, DA- 8cm,is8cm, AB II CD, will be[West Bengal NTSE Stage-1 2016DA(A) 80(B) 45°(C) 90°(D) of these |
|
Answer» as it satisfies Pythagoras theorem hence it is at 90° |
|
| 23. |
pliedthat the decimalThe rp oest national member by which should ber tes after the place of decimal, is(0) 10(c)(d) 30ANSWERS7 dy |
| Answer» | |
| 24. |
batsman hits asixer 8 times out of 32 balls played. Find tae(2016-ARWal EM)1. In a cricket match, aprobability that a sixer is not hit in a bauSol RatĂŠman does not hit a six 32- 8 |
| Answer» | |
| 25. |
7 परीक्षा 1st STAGE (CBT). HELD ON: 16.04.2016, SHIFT;226, एक महाविद्यालय में 30 विद्यार्थी एक परियोजना का 60% 5 दिन में ।बना सकते हैं। 45 विद्यार्थियों द्वारा 2 दिन में परियोजना का कितनेप्रतिशत भाग बनाया जा सकता है ?(A)36% (B) 45% (C)33% (D)32%। । । |
| Answer» | |
| 26. |
Find the perimeterola shombus, if lengths otits diagonals are 16 cmand 12 cm |
| Answer» | |
| 27. |
II. A company had sold 20,000 books in 2014. In the year 2016, they could sell 17,500 books. What is thepercentage decease in the sale of books in 2016 over 2014? |
| Answer» | |
| 28. |
हे डे) - 2(2- 3. n ot |
| Answer» | |
| 29. |
angles,henShow that the diagonals of a square are equal and bisect each other at right angles.Show that if the diagonals ot n qudul |
| Answer» | |
| 30. |
In a parallelogram ABCD, P and Q are the midpoints of sides DA and Brespectively. Il DAC = 300, then findthe values of Ď and y120 |
|
Answer» what is y pls send me the value of x |
|
| 31. |
near Equations in One Variable115COINof a number is less than the original number by 20. Find the number. |
|
Answer» (2/3)X=X-202X=3X-60X=60 ans. x=60 is correct answer find the number of 2 find the number of 2 find a correct answers is 2 (2/3)×=×-202×=3×-60×=60 |
|
| 32. |
download kunduz |
|
Answer» ye kya ha dimag ma nhi aa rha ha City in Afghanistan is the right answer. EVERY STUDENT HAS A PLAN FOR THEMSELVES AT KUNDUZ! Affordable plans for... |
|
| 33. |
Q.1 The angle of elevation of the top of a rock from the top and foot oft copy high tower are30°and45°respectively,Find the height of the rock |
| Answer» | |
| 34. |
P.)9J.the top of a rock from the top and foot of 100m high toThe angle of elevation of the top of a rock from the top andare respectively 300 and 450. The height of the rock is1.50(3 - 3)m 2. 50(34 V5) 3.50/3m4. 150m |
|
Answer» this right answer 4. 150m |
|
| 35. |
DOWNLOAD You are downloading songs to your MP3 player.The ratio of pop songs to rock songs is 5:4. You download40 pop songs. How many rock songs do you download?20. |
|
Answer» Given ratio of pop songs to rock songs is 5:4 Let number of pop songs = 5nNumber of rock songs = 4n As number of pop songs downloaded = 405n = 40n = 40/5 = 8 Therefore, number of rock songs downloaded = 4n = 4*8 = 32 |
|
| 36. |
13 _, â(1 + sin0) g13 D Sg 12 {1+ cos |
| Answer» | |
| 37. |
The angle of elevation of the top of a rock from the top and foot of a 60m high towerare 450 and 600 respectively. Find the height of the rock(V3 = 1.732 ). |
|
Answer» thank you very much |
|
| 38. |
11 PORS is a trapezium with PO 11 SR and m2r-m20-50。.a Prove that PS QR. |
| Answer» | |
| 39. |
Equivalent mass of Na2S2O3-158.Worked Out ExamplesExample 37. Approximate atomic mass of an elementis 26.89. If its equivalent weight is 8.9, find the exact atomicmass of the element. |
|
Answer» Equivalent weight = atomic weight/ valency Therefore, valency = 26.89/8.9 = 2.99 or 3 Exact atomic weight = equib=valent weight x valency = 8.9 x 3 = 26.7 g Thus the exact atomic weight = 26.7 gm. mass no |
|
| 40. |
QR'IPO QRd QR PO |
|
Answer» option D is correct answer according to Pythagoras theorem We are provided with a Δ PQR such that <P = 90°. Thus, we know that QR is the hypotenuse of this triangle. PR and PQ are the other two sides. Applying Pythagoras Theorem to Δ PQR, h² = a² + b² QR² = PR² + PQ² PR² = QR² - PQ² |
|
| 41. |
If from an external point P of a circle with centre O. two tangents POand PR are drawn such that 49PR 120° Prove that 2P9 -po10. |
| Answer» | |
| 42. |
4. In APOR, PO = OR; L.M and N are themidpoints of the sides of PO, QR and RPrespectively. Prove that LN = MN.RHS theoremAtimit |
|
Answer» INΔPQR ,PQ=QR...GIVEN ∴∠R=∠P [ANGLES OPPOSITE EQUAL SIDES] ⇒1/2 PQ=1/2 QR ⇒PL=MR IN ΔMRN AND ΔLPN PL=MR ∠R=∠P PN = NR [N IS THE MIDPOINT OF PR] ∴ΔMRN≅ΔLPN [SAS] ⇒MN=LN [C.P.C.T] PQ=QR L,MN are midpoints of PQ,QR,PR respctively ⇒PL=PQ=QM=MR.............................(i) and ∠QPR=∠QRP(angles opp. to equal sides)......................................(ii) Step-by-step explanation: in ΔLPN and Δ MNR PL=MR(from (i)) ∠LPN=∠MRN(from (ii)) PN=NR( N is midpoint) ∴ΔLPN≅ΔMNR(By SAS congruency) ⇒LN=MN(corresponding sides) Hence Proved |
|
| 43. |
in the given figure Po is a line, Kay OR isperpendicular to line PO, OS is another ray lyingbetween rays OP and OfProve that ROS(Z0S POS) |
| Answer» | |
| 44. |
» | &(8)(4)(23Il |
| Answer» | |
| 45. |
८ किस्से सल्ा ...... ot ‘iL 4 = loqx 5 |
| Answer» | |
| 46. |
5. JUUSubtract -134 from the sum of 38 and -87. |
| Answer» | |
| 47. |
(ii) maturity valuc.11. Mohan has a recurring deposit account inbank for 2 years at 6% pa, simple interest. Ifhe gets 1.200 as interest at the time ofmaturity, find:(G) the monthly instalment(ii) the amount of maturity.[2016] |
|
Answer» thnqs Sir.. sorry thnqs mam.. |
|
| 48. |
ŕ¤ŕ¤ž 2il PR E ) b[2 4 |
|
Answer» x^2 - x - 72 = 0x^2 - 9x + 8x - 72 = 0x(x-9) + 8(x-9) = 0(x+8)(x-9) = 0x= -8;9 |
|
| 49. |
v) 10x3 -4x + il from 9x +32- 2x + 4 |
|
Answer» (9x³+3x²-2x+4)-(10x³-4x+11)= (9-10)x³ + 3x² +(-2+4)X +(4-11)= -x³ +3x² +2x -7Please hit the like button if this helped you |
|
| 50. |
54. Two A.Ps have the same common difference. The first term of one A.P. is 2 and thatoother is 7. The difference between their 10th terms is the same as the difference betinetheir 21t terms, which is the same as the difference between any twoterms. Why?INCERT EXEMPLA |
|
Answer» Let us assume difference in consecutive terms in first AP = x difference in consecutive terms in second AP = y. 10th term in both APs are 2+(10-1)x and 7+(10-1)y i.e. 2+9x and 7+9y. 21st terms in both APs are 2+20x and 7+20y. Since the differences of consecutive terms are same, 7+9y-(2+9x) = 7+20y-(2+20x) 9(y-x) = 20(y-x) That means y-x = 0. Implies y = x. The difference between consecutive terms in both APs is same. |
|