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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.
| 75601. |
1/3 of 6 dozens fruits in a Fruitsellers cart are apples. If1/4 of all the fruits are apples and the rest of the fruits are bananas. find how many dozen bananas are there in the fruit sellers cart? |
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Answer» 1 dozen = 12 6 dozen = 6 x 12 = 72 total number of apples in the cart = x 72 = 24 total number of oranges = x 72 = 18 total number of bananas = 72 - ( 24 + 18) = 72 - 42 = 30 number of dozen bananas = 30/12 = 5/2 = 2.5 dozens |
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| 75602. |
From the top of a hill, in east side at two points angle of depressions are 30° an 45o. If distance between two points is 1 km, then find height of the hill. |
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Answer» 1 2 |
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| 75603. |
d. Which statements about the two points shown on the number lineare true?or do 65 de 63-62-01 6 de ez es os os as ofSelect all the correct answers.A The two points are both 0.7 units from 0.B. The two points show that 0.7 is equal to -0.7.The absolute value of -0.7 is greater than 0.7.D. The absolute value of -0.7 is less than 0.7.E The two points represent the same absolute value because they are the samedistance from 0.C. |
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Answer» option A nd E are correct answers |
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| 75604. |
How many points does a line contain?How many lines can be drawn througha. a point?b. two points? |
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| 75605. |
. Draw a circle of radius 3 cm. Take two pointsPand Q on one of its extended diameters eachat a distance of 7 cm from its centre, Drawtangents to the circle from these two pointsP and Q |
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| 75606. |
जला e -उनूमीलनी 1.3ता नये L NGही |
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Answer» Mana ki root 5 Ek parimay sankhya hai isliye root 5 barabar a baby Jahan IRB Ek Purna Aankhen ab AB root 5 barabar hey baby |
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| 75607. |
। यदि If A c B तो then AUB = |
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| 75608. |
Verify AU(BNC)=(AUB) n(AUC) using Venn diagrams. |
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| 75609. |
sent toQUESTIONSFor Practiceat andplaceuct ofequal811. Find square root of 119(a) 9/4(b) 6/7(d) 10/32. = V16. Find the value of x.(C) 11/7(a) 4(b) 6(C) 8(d) 123. 529 = x. Find the value of x.(a) 13(b) 23(c) 3312. What is the leastis perfect square(a) 1024(C) 130613. What is the grewhich is perfect(a) 9701(c) 890114. What is thenumber whicand 25?(d) 29(a) 196dbare root of 7921 |
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| 75610. |
A glass cylinder with a radius of 7 cm haswater upto a height of 9 cm. A metal cube of5.5 cm edge is immersed in it completelyCalculate the height by which water rises inthe cylinder |
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Answer» H = 9 cm, radius = 7 cm and side of the cube = 5.5cmTotal volume of the cylinder (after cube is immersed) = Volume of water in cylinder + Volume of water displaced or volume of the cube= 22/7*7*7*9 + 5.5*5.5*5.5= 1386 + 166.375= 1552.375 cu cmNow, height of water, h1 can be found by equatingπr²h1 with this volume.So,22/7*7*7*h1 = 1552.375h1 = (1552.37× 7)/22*7*7h1 = 1552.375/22*7Height = 10.06 cmRise in the water level in the cylinder = h1 - h = 10.06 - 9= 1.06cm |
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| 75611. |
16isosceles with AB=AC=7.5 cm and BC=9 cm (Fig 11.26). The height to BC, is 6cm. Find the area of triangle ABC. What will be the height fromCE? |
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| 75612. |
to Natasha.Bhanu had 240 fruits. She sold of them to Rakhi anda) How many fruits did Bhanu sell in all?b) How many fruits was she left with? |
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Answer» total fruits bhanu had=240fraction of fruits he sold to Rakhi =1/2fraction of fruits he sold to Natasha =1/3fruits he sold to rakhi =1/2×240 =1×120 =120fruits he sold to Natasha=1/3×240 =1×80 =80 |
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| 75613. |
A sells a computer to B at a profit of 1 0% and B sellsit to C at a profit of 1 5%. IfC pays Rs.35200 for it, atwhat price did A sell the computer? |
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| 75614. |
.Solve AABC, given a 4cm, b 5cm, c 7cm. |
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| 75615. |
oCI,assumingthereis no wastage8. A cuboid of dimensions 10 cm by 2 cm by 2 cm is divided into 5 cubes of edge 2 cm. Find the ratio ofThSothe total surface area of the cuboid and that of the cubes. |
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| 75616. |
What value of x would make AOB a line if < AOC=4x and 2 BOC=6x+30°6x+30° |
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Answer» BOA is a straight lineangle BOC + angle COA = 180 (linear pair)6x + 30 + 4x = 18010x + 30 = 18010x = 180 - 30x = 150/10x = 15 Plz like my answer and accepted as best Plz accepted as best bottom click and yes to accepted as best = 6x+30+4x=180; 10x+30=180; 10x=180-30=150; x=150/10=15; 4x + 6x + 30 = 180 linear pair 10x + 30 = 18010x = 150x= 15 6(15)+30=1204(15)=60 4x +30+ 6x=18010x+30=180X=150/10X=15 6x+30+4x=18010x+30=180150=10xx=156(15+30)4into 15 6x+30+4x=18010x=180-3010x=150x=150/10x=15 |
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| 75617. |
Two circles of radii 5cm and 3cm intersect at two points and the distance between their centres is 4cm. find the length of the common chord? |
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| 75618. |
NG |
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| 75619. |
न जनक माइक U v R T e Bझड़, वि 7sin A + 24 cos A=25,T tan & का मान निकालिएनर रबर पि के ञ |
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| 75620. |
b)A={x:x is a prime factor of 7854}B = {x:x is a prime factor of 2090}Prove that (AUB)-(AriB) = (A-B)U(B-A). |
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Answer» A = {2, 3, 7, 11, 16}B = {2, 5, 11, 19} Now,LHS:(AuB) = {2, 3, 5, 7, 11, 16, 19}(AnB) = {2, 11}(AuB) - (AnB) = {3, 5, 7, 16, 19} RHS:(A-B) = {3, 7, 16}(B-A) = {5, 19}(A-B)u(B-A) = {3, 5, 7, 16, 19} LHS = RHS Hence proved can't understand the question |
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| 75621. |
4) 184)5. If n(U) 60, n(A)21, n(B) 43 thenreatest value of n(AUB) and least value 12. nof n(AUB) areet of A is4o,43 2) 50, 36 3) 70, 44 4) 60, 38 |
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Answer» option 1 is correct... because maximum value it can have is n(U)=60 |
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| 75622. |
अरहिटप्र 'बसबर 2s2Q =4 तब sec O + cosec® ST Xs17. यदि 7sin g जेल 43A 2., ®L l ®F\/_.3——- s el - |
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Answer» Let theta = A7 sin²A + 3 cos²A = 4=> 3 sin²A + 3 cos²A + 4 sin²A = 4=> 3 ( sin²A + cos²A ) + 4 sin²A = 4 => 3 + 4 sin²A = 4 => 4 sin²A = 1 => sin²A = 1/4=> sin A = 1/2 => sin A = sin 30°=> A = 30° . Then, sec 30 + cosec 30= 2/sqrt (3) + 2
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| 75623. |
Section-BQuestion numbers 9 to 14 carry 2 marks each.g. Is 7 × 5 x 3 × 2 +3 a composite number? Justify your answer.10. Can (a-2) be the remainder on division of a polynomial pec) by(2x+ 3)P Justify your answer.1In Fig. 3, ABCD is a rectangle. Find the values ofx and y.12Teacher asked the students, to find tan 0 if 7sin 20 +3cos 0-4. A1 s the answer correct? Tustify it.ー12Fig. 3 |
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Answer» x+y = 12 x-y = 8 solvinv, we get 2x = 20, x = 10 10-y = 8 y = 10-8 = 2 |
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| 75624. |
In a model of a ship, the mast is 9 cm height while the mast of theactual ship is 12m high. If the length of the ship is 28m, how longis the modal ship? |
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| 75625. |
in Science, 50% marks in Maths, x marks in English. The maximum marks in each ofrucuLleasepercent.got 41 % marksg t41%mark1004. Arun150 and 200 respectively. Ifhis aggregate percentage was 50% find the marksbegot in English. |
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| 75626. |
7. A cardboard of dimensions 10 cm x 5 cm is rotated about the 5 cm side and formed a cylinder Findthe volume and total surface area of the cylinder |
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Answer» Dimensions of cylinder:Height = 5cmCircumference = 10cm=> 2*(22/7)*r = 10=> r = 35/22 cm. Volume = (22/7)*r*r*h= (22/7)*(35/22)*(35/22)*5= 39.77 cubic cm. Total Surface Area = 2*(22/7)*(35/22)*5 + 2*(22/7)*(35/22)*(35/22)= 50 + (350/22)= 65.91 sq cm |
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| 75627. |
culate the area of sha1cm3cm5cm4cm6cm |
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Answer» Area of shaded portion= Reactangle area (5*1) + Reactangle area (4*2) + Reactangle area (5*1)= 5 + 8 + 5= 18 cm^2 5 cm+ 5cm+1cm+1cm+3cm +3cm+ 4cm+6cm=28 |
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| 75628. |
of the Verandan4. Two paths, each of width 2 m, are runnung perpenng perpendicular to each other in the centre of a rectangularurdes, Find dthepark 120 m by 65 m. Find the area of the remaining park. |
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| 75629. |
12. 6x + 5 = 2x + 17 |
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| 75630. |
2x+3=17 then x=? |
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Answer» x=7 is the right answer |
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| 75631. |
21.If A = { 1, 3, 5, 7, 11, 13, 15, 17}B = { 2, 4, 6, 8 ... 18}[XI - Mathemaand u is universal set then find A'u [(AUB), B'] |
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| 75632. |
| जुरकाद उहर "Wt gl o, |
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| 75633. |
37.id the solution of the following pairs of linear equation by the graphicalmethod :2x + y = 62x - y = 2 |
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Answer» In(1)X=1,2,3,y=4,2,0 and in second X=2,3,4y=2,4,6 2x+y+2x-y=6+24x=8x=2 putting value of x in2x+y=64+y=6y=6-4y=2 |
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| 75634. |
5cos^2x-7sin^2x-6=0 |
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Answer» We know cos^2x + sin^2x =1 5cos^2x -7sin^2x-6 = 0 5(1-sin^2x) - 7sin^2x-6=0 5- 12sin^2x -6 = 0 1+12sin^2x= 0 sin^2x =-1/12 since, range of sin^2x =[0,1] which means no real value of x exists as solution. |
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| 75635. |
6. Simplify :+Gl |
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Answer» dgxjxbsishcssksvdisbdhsks |
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| 75636. |
ew Delhi at an avorageIuldiigal from New Delhi?A train is booked to do the run between two places, 55 km apart, in 1 hr 20 min. If it travels forthe first 30 km at 36 km an hour, at what speed must it travel for the rest of the distance in orderto complete the journey in time?16, |
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Answer» 55km= ABTotal time= 1 hour 20 minTotal distance travelled= 30kmS1= 36km/hrT1= distance travelled/S1=30/36=5/6 hr=50minremaining time= 40 min = 4/6 hrremaining distance= 25kmrequired speed= 25/(4/6) km/hr=25*6/4 km/hr=150/4 km/hr= 37.5 km/hr |
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| 75637. |
6 How many tiles of dimension 22.5 cm x 10 cm x 7.5 cm can be painted if the paint is justsufficient for the surface area 2812.50 m? |
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| 75638. |
2. The surface area of 10cm x 4cm x 3cm brick1) 84sq.cm2) 124sq.cm3) 164 sq.cm4) 180sq.cm |
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Answer» Surface area of brick = 2 × ( LB + BH + HL) = 2 × ( 40 + 30 + 12) = 2 × ( 70 + 12) = 2 × ( 82) = 164 cm² option (c) |
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| 75639. |
The area of a trap ezium is 384 cm2. Its parallel sides are in the ratio 3 : Sdthe perpendic alar distance between them is 12 cm. Find the length ofRoch of the parall el sides. |
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| 75640. |
3x% 41 17. गुट है हे... |
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Answer» 3x^2+1=2×3x^23x^2=1x^2=1/3 x=1/√3 x=-1/√3 |
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| 75641. |
The area of a trap ezium is 384 cm2. Its parallel sides are in the ratio 3 : 5d the perpendic lar distance between them is 12 cm. Find the length oftathof the parall l sides. |
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| 75642. |
19. The value of 'x' if 5 (3x +5) 2 (7x-4) isa) 17b) 33c) -33d)-17 |
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Answer» Explanation : 5(3x+5) = 2(7x-4) 15x+25 = 14x-8 15x-14x = -8-25 x = -33 Answer : x=-33 If you find this answer helpful then like it. |
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| 75643. |
3x +2y=62x - 3y=17 |
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| 75644. |
uestion 5.(a) The work done by (2x- 3) men in (3x + 1) days and the work done by (3x + 1) men in (+8) days anin the ratio of 11: 15. Find xf an isosceles right-angled triangle. Fi |
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Answer» Ratio of work is 11:15(2x - 3) men's work in (3x+1) days/(3x+1) men's work in (x+8) days=11/15=>(2x-3)(3x+1)/(3x+1)(x+8)=11/15=>(2x-3)/(x+8)=11/15=>30x-45 = 11x+88=>19x = 133=>x=7 |
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| 75645. |
7. The ski club with ten members is to choose three officers captain, co-captain & secretary, how manyways can those offices be filled? |
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Answer» It's a permutation because the order matters. Suppose you pick Bob, Fred,and Alice - that's Bob for captain, Fred for co-captain, and Alice for secretary. I could choose the same three people as Alice, Bob, and Fred; but now Alice would be captain, Bob co-captain, and Fred secretary - a different result for the same 3 people. So the order people are chosen matters. |
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| 75646. |
The mean weight of 4 members of a family Is 60kg. Three of them have the weight of 56kg68kg, and 72kg respectively. Find the weight of the fourth Member? |
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| 75647. |
33. A party of tourists booked a room in a hotel for1200.Three of the members failed to pay. As a result, others had topay 20 more (each). How many tourists were there in theparty? |
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| 75648. |
Three different coin touch together find the probability getting 1)angitely two head 2) at least two head3)at least two tail |
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Answer» 3 coins so possibilities are followingHHH,HHT,HTH,THH,TTH,THT,HTT,TTT 1) probability of 2 heads=3/82) at least 2 heads=4/8=1/23)at least 2 tails=4/8=1/2 |
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| 75649. |
New bricks from Brickabad - Rs 2000 for one thousand bricksBhajan decided to buy the new bricks from Brickabad. He boughtthree thousand bricks. How much did he pay? Gown |
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Answer» how much did he pay? Rs 2000 for 1000 brickstherefore Rs 2000 × 3000 bricks so answer is 6000 rupees |
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| 75650. |
336)13 /Cnlonger iain afield is 9450 m2Jl, Tha the two parallel sidesezium-shaped field, one of the450 m and the perpendicular distance between the two parah of the longer of the parleliparallel sides is twice the other. f the arca of thelel sides is 84 m,ind |
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