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InterviewSolution
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.
| 74501. |
u=\log \left(\frac{x^{4}+y^{4}}{x+y}\right) \text { show that } x \frac{\partial u}{\partial x}+y \frac{\partial u}{\partial x}=3 |
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| 74502. |
⏠uu+ 0+ ze 4 zz 4 नey z |
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| 74503. |
4 u ^ { 2 } + 8 u |
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| 74504. |
cos u1- sin4. Prove that:1 + sin ucos u |
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| 74505. |
9. Prove that "In a triangle, if the square of one side is equal to the sum of the squares of the othertwo sides, then the angle opposite to the first side is a right angle. |
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| 74506. |
A table was sold forき2,142 at a gain of 5%. At what price should it be sold to gain 10%. |
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Answer» thank you very much for helping |
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| 74507. |
Make a magic 4x4 square. Take numbers from 1 to 16. Now write numbers ineach line as you get the total of each line is 34 |
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| 74508. |
16,A can is sold at a gain of 16%. Had it been sold for? 100 more, the gain would have been 20%Find the C.P. of the car. |
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Answer» the answer of these question is 4% |
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| 74509. |
3. An article was sold at a gain of 10%. Had it been sold for 65 more, the gain would have been 14%. Find theC.P. of the article. |
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| 74510. |
(1) Define angular displacement, angular velocityand angular acceleration. |
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Answer» Angular displacement of a body is the angle in radians through which a point revolves around a centre or line has been rotated in a specified sense about a specified axis |
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| 74511. |
The sides of a quadrilateral are 5 m, 12 m, 14 mand 15 m and the angle between the first two sidesis a right-angle. Find its area. |
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Answer» AB = 12CM, BC = 5CM, CD = 14CM, AD = 15CM Now, angle formed by BC on AB is 900 By pythagoras theorem, AB2+ BC2= AC2 (12)2+ (5)2= AC2 144 + 25 = AC2 169 = AC2 13 = AC a = 12cm b = 5cm c = 13cm s = 12 + 13 + 5 / 2 = 30 / 2 = 15cm a = √15(15-12)(15-13)(15-5) = √15*3*2*10 = 30 cm2 Area of ADC = 84cm2 Total area = 84cm2+ 30cm2= 114cm2 |
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| 74512. |
a4-bExample 12. If sine-, then find thea+bvalue of cosθ and tan θ with the help ofrelations in trigonometric ratios, where θ isan acute angle. |
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Answer» In ΔABC, Let ∠ABC beθSin θ = (a²- b²) / (a²+ b²)⇒ AB = (a²- b²)⇒ AC = (a²+ b²)⇒ BC = √[(a²+ b²)²- (a²- b²)²] [According to Pythagoras theorem]⇒ BC = √(4a²b²)⇒ BC = 2abCos θ = 2ab / (a²+ b²)Tan θ = (a²- b²) / 2ab. |
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| 74513. |
Make a magic 4x4 square. Take numbers from 1 to 16. Now write numeach line as you get the total of each line is 34. |
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| 74514. |
55. A fruit merchant makes a profit of25% selling mangoes at a certainprice. If he charges ?1more on eachmango, he would gain 50%. At first,the price of one mango was(a) 6 |
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Answer» Let the price of cost price of one mango be x. When it is sold at a profit of 25% the selling price will be : 1.25x If the selling price increases by one the profit becomes 50%. Thus : 1.25x + 1 = 1.5x 1.5x - 1.25 x = 1 0.25x = 1 x = 1/0.25 x = 4The price at first is : 1.25 × 4 = 5Rs 5 Like my answer if you find it useful! |
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| 74515. |
55. A fruit merchant makes a profit of25% selling mangoes at a certainprice. If he charges?1more on eachmango, he would gain 50%. At first,the price of one mango was(a) 6(c) ă4(b) 5(d) 7 |
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Answer» Ans :- Let the price of cost price of one mango be x. When it is sold at a profit of 25% the selling price will be : 1.25x If the selling price increases by one the profit becomes 50%. Thus : 1.25x + 1 = 1.5x 1.5x - 1.25 x = 1 0.25x = 1 x = 1/0.25 x = 4The price at first is : 1.25 × 4 = 5Rs 5 |
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| 74516. |
If an article is sold ata gain of 10%instead of aloss of 10% then difference in selling price isRs. 55. What is the cost price of the article?A. Rs 275C. Rs. 31014'B. Rs. 288D. Rs. 290 |
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Answer» Let the cost price of article be CPIf there is gain of 10%Then,SP1 = CP(1 + 10/100)SP1 = 11CP/10 If there is loss of 10%Then,SP2 = CP(1 - 10/100)SP2 = 9CP/10 As per given condition SP1 - SP2 = 5511CP/10 - 9CP/10 = 552CP = 55*10CP = 275 (A) is correct option |
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| 74517. |
Q8. Mangoes are being sold at 38 per kg. What is the cost of 3 kg of mangoes? |
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Answer» Rs 155/4=1kg mangoes16/5kg mangoes = 16×155/4×5 =Rs124 The kg of 3*5+1 is only 124 rupees the kg of 3*5+1is Rs. 124 |
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| 74518. |
NOWHence, Loss = Rs 220 and Loss%find the gain percent.10%.ExampleIf the cost price of 18 mangoes is the same as the selling price of 16 mangoeshe Re 1. Then, |
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Answer» Cp of 1 mango be rs 1 Then cp of 18 mangoes will be rs 18. Now they have told, Cp of 18 mangoes = sp of 16 mangoes Sp of 16 mangoes be rs 18 ( as they have told cp of 18 mangoes= sp of 16 mangoes) Profit 18-16=2 P%=2/16*100=12.5% answer |
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| 74519. |
for1200A man bought a second hand scooterand spent ? 200 on its repairs. He sold it foră1680, His gain per cent is |
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| 74520. |
2. Kanchan bought a second hand scooter for 9,200. She spent 1,400 on irepairs. She sold the scooter for 10,000. Find her gain or loss. HOT |
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Answer» Kanchan bought a scooter for 9200 rs and spent 1400 so total cost is = 9200+1400=10600now she sold for 10000 rs here selling price is less so she will loss and loss will be = 10600-10000=600 rs. |
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| 74521. |
. A man bought a second hand scooter for1200and spent 200 on its repairs. He sold it forR1680. His gain per cent is |
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Answer» Total cost of typewriter = Rs. (1200+200) = Rs.1400. S.P= Rs.1680 Profit = Rs.(1680-1400) = Rs.280 Hence profit % = 280/1400 × 100=20% thanks |
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| 74522. |
32.A man bought a second hand scooter for Rs. 1200 and spend Rs, 200 on its repairs. He sold it for Rs.[9 ]1680. His-Profit percent is |
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Answer» 20% Total cost of typewriter = Rs. (1200+200) = Rs.1400. S.P= Rs.1680 Profit = Rs.(1680-1400) = Rs.280 Hence profit % = 280/1400*100 ==> 20 percent 20% is the best answer The total cost of scooter is 1200 and its repair cost is 200Then total cost is 1400He sold it rs 1680Solution is 1680/1400*100 == 20% 20% is the correct answer. |
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| 74523. |
Show that the bisectors of the base angles of a triangle can neverenclose a right angleEXAMPLE 12 |
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| 74524. |
23. Show that the bisectors of the base angles of atriangle can never enclose a right angle. |
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| 74525. |
f the base angles of a triangle enclose an angle of 135, prove thatthe triangle is a right triangle. |
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| 74526. |
After selling 55% of mangoes, a fruitseller still has 90 mangoes. Find the number ofmangoes he initially had.5. |
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| 74527. |
5 mangoes cost95, what is the cost of 12 such mangoes? |
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Answer» 5 mangoes costs = 951 mango will cost = 95/5= 19 ruppesthen 12 mangoes will cost = 19*12=228 ruppes Please hit the like 👍✔️ |
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| 74528. |
A basket has x mangoes, how manymangoes are there in 5 baskets?a) x + 5 b) 5x c) x-5 d) x/5 |
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Answer» b. 5x is correct answer. given a basket has x mangoes than in 5 basket how many mangoes correct answer is 5x |
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| 74529. |
33. यदि चार वास्तविक संख्याएँ a, b, c तथा d इस प्रकार है कि a : b = b: c= e: d तथा a: d = 8: 125 हो, तो a: c का मान है-(A) 25:4(B) 125 : 8 ।(C) 4:25(D) 8:25 (E) N.O.T. |
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Answer» D) 8 : 25 is the answer Answer:C Explanation: a / b = b / c = c / d = k,say a/d = 8/125 = a / b * b / c * c / d = k^3 k = 2/5 Now, a/c = a/b * b/c = = 4/25 4.25cgcnxbznzns chzvxvxbxbfjz |
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| 74530. |
ΔDBC are on same base,BC and equal sihave been shown with similar markings.ZA 60° and ZD 50°, then find:60°50°(i) ZABC and ZACB(ii) LDBC and ZDCB(ii) ZABD and ZACD. Are these anglesequal? |
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| 74531. |
5. Ranjan bought a second hand scooter for 6000. He spent 300 on its repairs and soldit to Vineet at a profit of 10%. Vineet sold the scooter to Mukesh at a loss of 10%. Atwhat price did Mukesh buy the scooter? |
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Answer» Given:- principal = 6000, rajan spent money = 6000-300=5700rajan profit = 5700×10÷100=570total amount vineet had to pay =5700+570=6270vineet sold it to mukesh at loss=6270×10÷100=627total amont mukesh has to pay=6270-627=5643 |
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| 74532. |
2. Draw a line I. Draw a perpendicular to at any point on I. On this perpendichoose a point X, 4 cm away from 1, Through X, draw a line m parallel to l¡ |
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Answer» brother tnq sooooo much |
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| 74533. |
EXAMPLE 5If two parallel lines are intersected by a transversal, prove that thebisectors of the two pairs of interior angles enclose a rectangle.diantaPage NoDateo |
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Answer» hope it helps u |
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| 74534. |
2. Draw a line /, Draw a perpendicular to / at any point on I. On this perpendicuSchoose a point X, 4 cm away from I. Through X, draw a line m parallel tol |
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| 74535. |
iT G,f " P9 oLU ४/ बर्फsy [,,/,,- की&WA e R0 0] काका पे केह दा दर PR थे Aoyvl 54e ;) Ty )"Nl oy b s T |
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Answer» Like if you find it useful |
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| 74536. |
फप्रशापवार: 5 sec? 58°— 5 tan 58° cot 32°— 7 tan 12° tan 35° tan |
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Answer» Part 2 please like the solution 👍 ✔️ |
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| 74537. |
१2१00 ६ पंअययकपथद भा ही ःb lu‘},fi_wfl”TR L ,fl_'\d:flrlkk |
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| 74538. |
12. Oranges are bought at 6 for10 and sold at 4 for 9. Find the gain or loss per cent. |
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Answer» 35 % is the correct answer of the given question 35% is the answer of the following profit percent=35.54% is the answer i got 35% is the corrcet answer |
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| 74539. |
10. A fruitseller bought 3904 mangoes. He threw away 5 rotten mangoes. He packedthe remaining good mangoes in 7 big baskets. Find the number of mangoes ineach basketINCL. |
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Answer» total mango=3904rotten mango=5left mango=3904-5 =3899total basket=7mango in each basket =3899/7 =557if u satisfied with the ans then like or cmmt ✌️ 557 is the correct answer of the given question 557 is the correct answer 557 is the correct answer of the following question. |
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| 74540. |
Vineet bought kg of strawberries atRs 18 y per kilogram. He bought 4mangoes at Rs y each. How much did hespend altogether? Express your answer interms of y.A) Rs 13 yB) Rs 14 yC) Rs 12 yD) Rs 15 y |
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Answer» c is the correct option |
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| 74541. |
the given figure, if AB = AC, then prove that ZABD = 2 ACE.DBCE |
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Answer» cififiygo Iggy y9uy8py08yipu9u |
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| 74542. |
ure, ABD- 3 ZDAB and 4BDc-96. Find ZABDIn the961n (R0.calculate the angles o |
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| 74543. |
3.Letlbe a line and P be a point not onl. Through P, draw a line m parallel to l. Nowjoin P to any point Q on I. Choose any other point R on m. Through R, draw a lineparallel to PQ. Let this mectl at S. What shape do the two sets of parallel lines enclose? |
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| 74544. |
. Let l be a line and Pbe a point not on l. Through P, draw a line m parallel to l. Nowjoin P to any point Q on l. Choose any other point Ron m. Through R, draw a lineparallel to PQ. Let this meet /at S. What shape do the two sets of parallel lines enclose? |
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Answer» smajh Ni aaya |
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| 74545. |
3. LetI be a line and Pbe a point not on I. Through P,draw a line m parallel to l. Nowjoin P to any point Qon /.Choose any other point Ron m. Through R, draw a lineparallel to PQ.Let this meet/at S. What shape do the two sets of parallel lines enclose? |
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Answer» thanks bro👍👍 |
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| 74546. |
The average rain of the first four days of the week starting from Sunday is40 mm and that of the last four days is 33.5 mm. If the average rain of the weeks 37 mm, how much did it rain on Wednesday?4 |
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| 74547. |
The price of a watch and a pen is Rs. 140. If theprice of a watch is 6 times of the price of a pen.Find the price of a watch. |
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| 74548. |
/ The cost pr l lu uliParvinder sold a watch at a loss of 5%. If he hadsold that watch for 27 more, he would have gaineFind the cost price of the watchrticle costs him 31960, find its selling pric |
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Answer» Let the cost price= Rs x1)loss=l=5%selling price(s1)=x(100-l%)/100=x(100-5)/100=95x/100-----(1)2)gain (g)=7%selling price(s2)= x(100+g)/100= x(100+7)/100=107x/100-----(2)but (2) - (1)=27 107x/100 - 95x/100=2712x/100=27x=27*100/12after cancellationx=225thereforecost price=Rs225 |
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| 74549. |
7. Ramlal bought oranges at 30 per dozen. Hehad to sell them at a loss of 5%Find the selling price |
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| 74550. |
The cost price of 32 articles is equal to theselling price of two dozen of them. Find thegain or loss per cent. |
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Answer» C.P of 32 articles=S.P of 24 articles let the CP be 100,then CP of 32 articles =Sp of 24 articles =100 since these two quantities are different,we need to equal it, therefore- CP of 32 articles=100 or CP of 1 article=100/32 or CP of 24 articles=100/32*24=75 Since CP of 24 articles=75 and SP of 24 articles=100, there is a gain ( gain = 100-75=25) gain%= gain/CP*100= 25/75*100=33.33% |
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