This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 66801. |
41ĺFind the values ofr and y in the figure.140° |
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Answer» thanks 180-140=y40=ysum of angle of triangle =180third side of triangle =180-40-30 =110180-110=x90=x thanks |
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| 66802. |
3. A sum of money lent out at C.I. at a certainrate per annum becomes three times of itselfin 8 years. Find in how many years will themoney become twenty-seven times of itself atthe same rate of interest pa. |
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Answer» Let the sum of money be Rs P and the rate of interest be r % p.a.Amount at the end of 8 years = Rs 3PFormula for amount= P(1+(r/100))^nwhere n=time,p=principal and r=rate3P=P(1+(r/100))^83=(1+(r/100)^8 .............1Let the money becomes 27 times in n years 27P=P(1+(r/100))^n27=1+(r/100))^n(3)^3=1+(r/100)^n(1+(r/100))^8)^3=1+(r/100))^n from 11+(r/100))^24=1+(r/100)^nComparing bases we getn=24 years |
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| 66803. |
Ex: 1) Find the value ofr ifPri: 12P2 = 14:3. |
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| 66804. |
Jr Where did Mriganko Babu's driver go to fetch petrol ? |
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Answer» Mriganko Shekhar Mukhopadhyaya was a famous and popular writer of Calcutta. He was invited by a club in Durgapur in order to felicitate him in a cultural function. Now he was on his way back to Calcutta by car. As they were about to reach Panagarh, his car went out of petrol. The driver walked to Panagarh which is three miles away to fetch petrol. Mriganko Babu got out of the car and found himself stranded in the middle of nowhere. |
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| 66805. |
One glass holds 250 ml ofglasses?Juice.Howmuchjuicewillbetherein9saor |
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Answer» 1 glass = 250 mL 9 class = 9 * 250 = 2250 mL |
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| 66806. |
One glass holds 250 ml of juice. How much juice will be there in 9 sudglasses? |
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Answer» Given:- one glass holds 250 ml of juice.∴9 such glasses holds= 250 ml×9=2250 ml |
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| 66807. |
1. One glass holds 250 mlofjuice.Howmuchjuicewillbetherein9uglasses? |
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| 66808. |
prevethatlat b-g2.tb-t 29 bä¸ |
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Answer» (a+b)²(a+b) ( a + b)a² + ab + ba + b²a² + b² + 2ab So, RHS = LHS |
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| 66809. |
\begin{array} { l } { \text { (A } 10 \text { ohm wire is stretched so that its length } } \\ { \text { becomes three times its original length. The new } } \\ { \text { resistance of the wire will be): } } \end{array} |
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Answer» Resistance ‘R = 10 ohm’ is related to length ‘L’, area of cross-section ‘A’ and resistivity ‘ρ’ as, R = ρL/A When L is tripled , As we know that the volume of the wire remains same. old volume = new volume AL = A'L' ....(i) ( as volume = area x length ) L' = 3L So, from (i) A' = A/3 So the new resistance is , R' = ρL'/A' or R' = ρ(3L)/(A/3) = 9 (ρL/A) => R' = 9R so, the new resistance increases nine fold. Now, R' = 9 x 10ohms thus, R' = 90 ohms as Resistance is directly proportional to length so if length of wire becomes 3 times then new Resistance will also become 3 times the original resistance. |
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| 66810. |
(v) (a+b) a +2a0Example I. Find the value of 7/9 ofR 45 |
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| 66811. |
JR AIE AZTime: 3 Hrs.1n'= |
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| 66812. |
u uiuincaCcle aie paraliel.S. Pove that the perpearen octhrough the centre. |
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Answer» Let , O is the centre of the given circle. A tangent PR has been drawn touching the circle at point P. Draw QP ⊥ RP at point P, such that point Q lies on the circle. ∠OPR = 90° (radius ⊥ tangent) Also, ∠QPR = 90° (Given) ∴ ∠OPR = ∠QPR Now, above case is possible only when centre O lies on the line QP. Hence, perpendicular at the point of contact to the tangent to a circle passes through the centre of the circle. |
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| 66813. |
aie te weignt o m of the samThe cost of 6 purses is 453. How many such purses can be bought for 604 |
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| 66814. |
Exercise 161. Valsala has two cups of milk every day. If a cup holds 150 mL,how much milk does she have in a month (30 days)? |
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Answer» In each day she consume = 150 × 2 = 300mlIn 30 days, she consume = 300×30 = 9 litres A container holds 3 litre 350 mili liter of milks. How much milk can be measured by using this container 15 times |
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| 66815. |
. Two resistances when connected in parallel give the resultant value of 2ohm; when connected in series the value becomes 9 ohm. Calculate thevalue of each resistance. |
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| 66816. |
1, Arrange the following integers in ascending onderda) , 5, 12,-7,0,5,-9b) 0,-3, 5, 9,- 19, 15 |
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| 66817. |
2 NumbeMsaie written in aeending onder and theit |
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Answer» Numbers in ascending order are8, 11, 12, 2x-8, 2x+10, 35, 42, 50There are even no. Of observationsThen median is average of midd two terms Median = 1/2(n/2 + (n/2) +1) terms = 1/2(4th + 5th) terms 25 = 1/2(2x-8 + 2x+10) 50 = 4x+24x = 48x = 12 Value of x is 12 |
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| 66818. |
one cup can hold 1/3 litre of milk. How much milk can we pour in two cups ? |
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Answer» If one cup can hold 1/3 litre of milk, 2 cups can hold1/3+1/3=2/3 litre of milk. 2/3 liter in two cups 2/3 litre of two cups is the correct answer of the given question 2/3 litre of milk we can pour in two cups 2/3 litre milk can hold one cup can hold 1/3 L of milk.then 2 cups can hold = 1/3 ×2 = 2/3 L of milk. 2/3 litre is th answer 2/3 is the correct answer. please like as best 2/3 lit. is the right answer. 1 cup can hold 1/3 of milk.then 2 cups can hold= 1/3 × 2 = 2/ 3 L 2 / 3 of milk |
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| 66819. |
-fractions because theirFractions like and are called –numerator is less than the denominator. |
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Answer» for that question answer is proper fraction proper fractions is the answer Proper is the right answer proper is the correct answer of the given question is the answer is propre proper is the correct answer |
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| 66820. |
Vs. Let A be a square matrix of onder 3 x 3, then tAl is eqal w(A) KAI |
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| 66821. |
The price of a machene donorocaates at theToate of 2 ISOO pour year. If you1500 per year. If it was bought tou215,800 1 what' cool be its after 5 years |
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Answer» As machine bought for Rs 15800 Then,Cost of machine after first year= 15800 - 1500= 14300 Cost of machine after second year= 14300 - 1500= 12800 Cost of machine after third year= 12800 - 1500= 11300 Cost of machine after fourth year= 11300 - 1500= 10800 Cost of machine after fifth year= 10800 - 1500= 9300 Therefore, Cost of machine after 5 years= Rs 9300 |
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| 66822. |
Exercise 2.8There were 2348 workers in a factory. 1495 were men. How manwomen?ld car for 84395 Ho |
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| 66823. |
aMCmuch time Veoill a manake to Comptute oslngMs baundoty i ho oe.at a constant.o 88 km/h? |
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Answer» But answer 2 minute 15 second aa raha please tell me |
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| 66824. |
2gThe force of a hous e İs decorecS edo R15o o to Rs 12Othe rercnbage of Dees |
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Answer» Original price = 1500000Decrease price = 1200000 Percentage of Decrease= [(Original price - Decrease price)/]*100 Decrease price= [(1500000-1200000)/1500000]*100= (300000/1500000)*100= (1/5) *100= 20% |
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| 66825. |
Барна:21. Divide 7000 among A, B and C such that A gets 50% of what B gets and B gets 50% of whatC gets. |
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| 66826. |
-Apco 2Date :Fego iSwa, जैकको? |
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Answer» answer |
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| 66827. |
I. Answer the following questions :1.Name the important rivers of the Northern Plains. |
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Answer» These are the important rivers The Satluj Basin: The SatlujRiveralong with itsmaintributary, the Beas, flows towards the south-west. It joins theriverIndus in Pakistan. ... The Ganga Basin: The Ganga is the mostimportantriverin theNorthernplains. ... The Brahmaputra basin: The BrahmaputraRiverrises in Tibet and enters India from the east. |
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| 66828. |
A tal amount of 1560 is to be divided among A, B and C such that A gets 50% of what B gets andgets 20% of what C gets. How much will each of them get?5. |
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Answer» Total amount = 1560Let C gets = Rs xThen B gets = (20/100)xA gets = (50/100)(20/100)x According to the given condition (50/100)(20/100)x + (20/100)x + x = 1560x/5 + 2x/5 + x = 15608x/5 = 15602x/5 = 390x = 195*5 = 975 Therefore, A gets = x/5 = 975/5 = 195B gets = 2x/5 = 390C gets = x = 975 |
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| 66829. |
statneten2S can |
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Answer» perimeter of that triangle = 60cm the measure of hypotaneous = 25cm then the rest sides must measure = 60-25= 35 Let one side be xthen, thw measure of the third side must be 35 - x Using pythagoras theorem (25)^2 =(x)^2 + (35-x)^2625 = x^2 + x^2 - 70x + 1225 x^2 + x^2 - 70x + 1225 = 625 x^2 + x^2 - 70x + 1225 -625 = 0 2 x^2 - 70x + 600 = 02x^2 - 40x - 30 x + 600= 02x (x-20) -30 ( x - 20) = 0(x-20)(2x-30)=0 x -20 = 0x = 20 2x -30 =02x =30x = 15 so,one of the side measure either 20 cm 15 cm if one side measure 20cm then the other must measure 35 -20 = 15cm and if it measured 15 cm then the other side measure 35-15 = 20 cm so,we will get 20cm and 15 cm as our remaining sides. one of then will be height and the other misy be the base,now apply the formula of area of triangle i.e (1/2) (height)(base)= (1/2 )(20)(15) = 150 cm^2 So, the area of that triangle will be 150 cm^2 thans |
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| 66830. |
Divide? 7000 among A, B and C such that A gets 50% of what B gets and B gets 50% of whatC gets. |
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| 66831. |
16. From the given figure, prove that(i) BXAP2(ii) AP + CR-2BQ17. P is tho mid gint ofA Tr |
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Answer» The given figure is a trapezium are the points B and Q mid points of their respective sides. We know that sum of parallel sides is equal to twice of the line joining the mid points of non parallel sides. You can use the mid point theorem and its conversefor solving the question. In triangle ACP,X is mid point of PC [converse of mid point theorem] Also BX =1/2 AP [mid point theorem].(1) Similarly by using both theorems in triangle CRP,We can prove XQ = 1/2 CR .(2)(1) + (2) = BX + XQ = 1/2(AP + CR)This implies AP + CR = 2 BQ |
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| 66832. |
COMPOSITE FUNCITONThe functions f : R → R, g : R → Rdefined asare0 when x is rationalf(x)=.whenx is irrational1 when x is rational0 when x is irrationalthen (fog)(z)+(gof)(e)-(EAM-01) |
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| 66833. |
Q. 6. In Fig 6.30, if AABEΔΑΒΕ AACD, show | d ofore,that AADE AABCCBSE 1040106-A2Sol. Given:ABEAACDherefore, by usinAABDi)In AAEP and AZAEPZPAE1 Therefore, by usingTo prove:AADE AABC. BProof: We haveFig. 6.30,c |
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| 66834. |
Example 6.4: The radius of a sphere was measured and found to be 21 cm withpossible error in measurement of atmost 0.05 cm. What is the maximum error in usinthis value of the radius to compute the volume of the sphere ?4 |
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Answer» the question is maximum error ....its should be in percentage right?? |
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| 66835. |
VII. Write the ordinal numbers in words and in numbers. |
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Answer» ACardinal Numberis anumberthat says how many of something there are, such as one, two, three, four, five. AnOrdinal Numberis anumberthat tells the position of something in a list, such as 1st, 2nd, 3rd, 4th, 5th etc. Mostordinal numbersend in "th" except for: one ⇒ first (1st) ACardinal Numberis anumberthat says how many of something there are, such as one, two, three, four, five. AnOrdinal Numberis anumberthat tells the position of something in a list, such as 1st, 2nd, 3rd, 4th, 5th etc. Mostordinal numbersend in "th" except for: one ⇒ first (1st) |
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| 66836. |
Iffand g are two functions defined asf(x) = x + 2, x<0g(x) = 3 ,x>0then range of f+g is |
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| 66837. |
Multiple Choice Questions (MCQs)Tick () the correct option.2. The area of the shaded region is4x +38x + 94x-3(a) 16 x2(c) 812x-1(b) + 26 x(d+-10 xA What is |
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Answer» d. -10x |
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| 66838. |
what is succeeding ordinal number |
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Answer» AnOrdinal Numberis anumberthat tells the position of something in a list, such as 1st, 2nd, 3rd, 4th, 5th etc. I want to know succeeding and preceding number Succeeding number is the number which comes after a number.Preceeding number is the number which comes before a number. |
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| 66839. |
using themethod of completing a squasolve the equation\sqrt{5 x^{2}}-4 x-\sqrt{5}-0 using the method of factorization |
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Answer» can you solve 3 more please solve by foctorization :3p2+8p+5=0 |
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| 66840. |
usdd âhe value of k for which the qequ a ko hos equal od |
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| 66841. |
- AlantsPago No.DatoŠEighty two lakhhundred andforty thousand, foursix from Ninety selakhMEG-01anetiks |
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Answer» the answer of this quetion is 46790 |
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| 66842. |
3. Draw the graphs of the equations x + y = 6 and 2x + 3y = 16 on the same graphFind the coordinates of the naof the points where the two lines intersect |
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| 66843. |
the 9th term and 19th terms of a series in A.P.are respectively 35 and 75.find the series and it's 20th term. |
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Answer» tn=a+(n-1)d35=a+(9-1)d35=a+8d. (1)Also,75=a+(19-1)d75=a+18d. (2)Subtracting 1 and 2,40=10dd=4a=75-18(4)a=3 |
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| 66844. |
24. The nth term of a series in A.P is 4n2-4n +1.Find the sumof n terms of the series. |
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| 66845. |
(i) Total surface area of right circular cone r (/+r)(ii)Volume of cuboid - /bh.Explain letters in the above formulae. |
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Answer» Ans :- r is radius , l is slant height of the cone l = length, b = width, and h = height. |
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| 66846. |
term of any infinite series is 64 and each term is three times its succeeding teur8. FirststFind the series. |
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Answer» a1=64a2=64×3=192a3=64×3²=576a4=64×3³=1728a5=64×3⁴=5184so tell series is 64,192,576,1728,5184........ |
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| 66847. |
Ou:Pago NaDraw adiagram.of.ccinelo wand sind thediameter of circle if madius is a coma |
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Answer» If radius is 9cm,thendiameter 9cm+9cm=18cm |
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| 66848. |
Progresstoneterms of, an AP is 24 and the sum of the eth and 1俨teren44. Find the first three terms of the AP |
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| 66849. |
Ex. (4)and 1o are rational numbers. Compare them.10 |
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Answer» 3/5 and 6/10 3/5 = 0.6 6/10 = 0.6 Both are equal |
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| 66850. |
DataPagoaxisaAno02 |
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