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.
| 67451. |
The sum of two numbers is 2000. If 25% of the smaller number is one-sixth of the larger,the numbers.find |
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Answer» Let two numbers are x and yx+y=200025%x=(1/6)y25x/100=y/6x/4=y/6x/2=y/33x=2y 2y/3+y=20005y=6000y=1200 x=2y/3x=2(1200)/3=800 |
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| 67452. |
The sum of two numbers is 50. If the larger number is divided by thesmaller number we get . Find the numbers. |
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Answer» Let the two numbers be x and (50-x). ∴(50-x)/x=2/3=>2x=150-3x=>5x=150=>x=30 ∴The numbers are 30 and 20. |
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| 67453. |
The numerator of a fraction ismultiple of two numbers. One ofthe numbers is greater than theother by 2. The greater number issmaller than the denominator by4. If the denominator7C(C 7) is a constant, thenthe minimum value of the fractionIS |
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Answer» let the denominator be x, therefore the numerator will be (x-4)(x-6)fraction =(x−4)(x−6)/x what does (x-4)(x-6) tell you1) It tells us that x<4 and x>6, both terms will be negative and the value will be positive.2) At 4 and 6 it will be 03) AND at x as 5, the value will be NEGATIVEso lowest value will be at x = 5 (x−4)(x−6)/x =(5−4)(5−6)/5 =−1/5 Like my answer if you find it useful! |
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| 67454. |
1. The difference between two numbers is 13560. When the largest number is dividedby the smallest one, the quotient is 4 and the remainder is 15. The smaller numberis1515(c) 3515 (d) 5415 |
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| 67455. |
1)Prove that bisector of two parallel chords passes through the centerofcircle, |
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| 67456. |
१५५५५।५।५।।5) एक अच्छे इन्सान में क्याhematics1) Write in words using India245624, 5196438, 765082) Simplify:(i) 844(iv) 100 +10 x 10 - 10(vii) 60 * 12-3 13) Find the greatest number(a) 2, 4, 7, 9, 6, 0, 1 |
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| 67457. |
In a circle of radius 5 cm, AB and CD are two parallel chords of lengths8 cm and 6 cm respectively. Calculate the distance between the chordsif they are(i) on the same side of the centre(ii) on the opposite sides of the centre. |
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| 67458. |
HCL- Scholastic Aptitude Test - Techbee00323 VijayawadaIn the options, a set of three wheels are given. In which set do the first and last wheels rotate in the same direction and the middle wheel rotateBCDOBEFGOCECDD.ADEОЕDEF |
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Answer» answer option is [D] that is ADE d option is the answer of this question answer dis that is ade option d is the correct answer of the given question d is the correct answer |
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| 67459. |
4. In a circle of radius 5 cm, AB and CD are two parallel chords of lengths8 cm and 6 cm respectively. Calculate the distance between the chordsif they are(i) on the same side of the centre,(ii) on the opposite sides of the centre. |
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Answer» GivenAB and AC are two equal words of a circle, therefore the centre of the circle lies on the bisector of ∠BAC. ⇒ OA is the bisector of ∠BAC. Again, the internal bisector of an angle divides the opposite sides in the ratio of the sides containing the angle. ∴ P divides BC in the ratio = 6 : 6 = 1 : 1. ⇒ P is mid-point of BC. ⇒ OP ⊥ BC. In ΔABP, by pythagoras theorem, AB^2= AP^2+ BP^2 ⇒ BP^2= 6^2- AP^2.............(1) In right triangle OBP, we haveOB^2= OP^2+ BP^2 ⇒ 5^2= (5 - AP)^2+ BP^2 ⇒ BP^2= 25 - (5 - AP)^2...........(2) Equating (1) and (2), we get 6^2- AP2= 2^5 - (5 - AP)^2 ⇒ 11 - AP^2= -25 - AP^2+ 10AP ⇒ 36 = 10APAP = 3.6 cm putting AP in (1), we get BP^2= 6^2- (3.6)^2= 23.04 ⇒ BP = 4.8 cm ⇒ BC = 2BP = 2× 4.8 = 9.6 cm ⇒ AP = 3.6 cm putting AP in (1), we get BP^2= 6^2- (3.6)^2= 23.04 ⇒ BP = 4.8 cm |
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| 67460. |
Take sons age to be a years)of a rectangle in 18 cm Theis ice the te |
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Answer» please post clearly Please post clear images |
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| 67461. |
9. Find the value of x for which9. Find the value of x for which (99-03 |
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Answer» - 1 is the correct answer of the given question |
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| 67462. |
HEMATICSEXERCISE1.Multiply the binomials.((2x +5) and (4x- 3) |
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Answer» thanks a lot |
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| 67463. |
HEMATICSIn Fig. ABm 12 cm, BC--8 cm and AC#10 cm. Find AD, BE and CF.1 |
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Answer» Tangents drawn from an external point to a circle are equal.⇒ AD = AF, BD = BE, CE = CF.Let AD = AF =aBD = BE =bCE = CF =cAB = AD + DB =a+b= 8 -------- (1)BC = BE + EC =b+c= 10 -------- (2)AC = AF + FC =a+b= 12 -------- (3)Adding (1), (2) and (3), we get2 (a+b+c) = 30⇒ (a+b+c) = 15 -------- (4)Subtracting (1) from (4), we getc= 7Subtracting (2) from (4), we geta= 5Subtracting (3) from (4), we getb= 3Therefore, AD =a= 5 cm, BE =b= 3 cm, CF =c= 7 cm |
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| 67464. |
tind tha Saua.out of theaplex no: 5-128 |
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| 67465. |
How much is 7005 greater than 5849How much is 3768 less than 5012The sum of two numbers is 8324) If bneginumberWhat number must be added to 5679 toWhat number must be subtracted fromuThe difference between two numberssmaller one6314t0 get 42895) If theThere are 3250 students in a school. firls?1867HEMATICS-3 |
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Answer» 1. 1156 2. 1244 4. 3444 |
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| 67466. |
10. In Fig. 10.17, XY and X'Y' are two parallel tangents to a circle with centre O and another tangenAB with point of contact C intersecting XY at A and X' Y' at B. Prove that < AOB = 90°0x' |
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Answer» Join OC In Δ OPA and Δ OCA OP = OC (radii of same circle) PA = CA (length of two tangents) AO = AO (Common) Therefore, Δ OPA ≅ Δ OCA (By SSS congruency criterion) Hence, ∠ 1 = ∠ 2 (CPCT) Similarly ∠ 3 = ∠ 4 Now, ∠ PAB + ∠ QBA = 180° 2∠2 + 2∠4 = 180° ∠2 + ∠4 = 90° ∠AOB = 90° (Angle sum property) |
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| 67467. |
rove that the diameter of a circleperpendicular to one of the two parallelchords of a circle is perpendicular to theother and bisects it.10. P |
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| 67468. |
Prove that the diameter of a circleerpendicular to one of the two parallelchords of a circle is perpendicular to theother and bisects it. |
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| 67469. |
9.) In Fig. 10.13, XY and X Y' are two parallel tangents to a circle with centre O andanother tangentAB with point of contact C intersecting XY at A and X 'Y' at B. Provethat AOB = 90°.WI |
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| 67470. |
Determine the domain and rang of the following reR = {(a,b): a En, a < 5, b = 4} |
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| 67471. |
809 рдирд╡ 123рекe \(ap |
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| 67472. |
In the given figure, O is the centre of thecircle. AB and CD are two chords ofthe circle. OM is perpendicular to AB andON is perpendicular to CD. AB 24 em,OM 5 cm, ON 12 cm. Find the(i) radius of the circle(ii) length of chord CD.c |
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| 67473. |
= 06503L£500 7S809 ८ [७0८ |
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Answer» cos1 cos2 cos3........cos89 cos90put cos90=0cos1 cos2 cos3.......cos89 *0=0 |
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| 67474. |
04.if α and β are the roots of the quadratic polynomial p(x)-2x2-4x + 1, then the value of+ 2e i 2α +ß is equal to71 |
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Answer» a+b=4/2=2ab=1/2(a+b)^2=4a^2+2ab+b^2=4so a^2+b^2=31/(a+2b)+1/(2a+b)=(2a+b+a+2b)/((a+2b)(2a+b))=(3a+3b)/((2a^2+5ab+2b^2)=3(2)/((2(3)+5(1/2))=6/(6+2.5)=6/8.5=12/17 |
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| 67475. |
3. If f: RR is defined by f (x)=, then show that f (tan 8) = cos 2e. |
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| 67476. |
In a 4ABC, AD is pĂŠrpehdicuiai bisectur UIDIf point C lies between two points A and B such that ACBC, then prove that AC-AB.2 |
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Answer» since C lies between A and B AB = AC + BCAB = AC + AC (AC=BC)AB = 2AC AB/2 =AC AC = 1/2AB. |
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| 67477. |
HEMATICS9 Find the absolute maximum and minimum values of a function/given byf(x) = 2e-15x2 + 36x + 1 on the interval [15] |
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| 67478. |
ai the circumference of the circles with the following radius: (Taketeal 14cm(b) 28 mm(c) 21 cm |
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Answer» Circumference of a circle =2πra) C=2πr=2(22/7)(14)=88cmb) C=2(22/7)(28)=176mmc) C=2(22/7)(21)=132cm |
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| 67479. |
polynormalnstiinorthezelosorthe)(x)-2er+4x_othe-3iso, then tind thevatue19. If 1 is the zero of the quadratic polynomialx kx-5, then find the value of k.9 |
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Answer» thank you |
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| 67480. |
the perieter or the rectath 36 cm, breadth 24Cm- 17 cm, breadth 6 cm28 cm, breadth - 19 cm |
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Answer» thanks |
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| 67481. |
EXERCISE 1 (a)By use of definition of limit, show thatLt(2x +3)-1. |
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Answer» please step to step Substitute x = -1 in the given function as shown in the answer. |
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| 67482. |
9. Prove that if r and y are both odd positive integers then r+y is evenen r r is evenbut not divisible by 4. |
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| 67483. |
Compreiensive Exercise 11.If PSP' and QSQ' be two perpendicular focal chords of a conic,prSpSDss constant.SP. SP' SQ.SQ(Meerut 2004, 06B; Rohilkhand |
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| 67484. |
Q. 9. In the given figure, XY and XY'are twoparallel tangents to a circle with cnre O and anothertangent AB with point of contact C intersecting XY atA and X/Y, at B. Prove that LAOB = 90'.2eB Y' |
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| 67485. |
)16,How many times a wheel of radius 28 cm must rotate to go 352 m? (Take- |
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| 67486. |
22How many times a wheel ofradius 28 cm must rotate to go 352m? (Take Ď). smmlong How far does the tip of the minute16. |
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Answer» Circumference = 2*(22/7)*28 Distance covered in 1 rotation = CircumferenceNumber of rotations = Distance covered / Circumference= 352/88= 4 PLEASE HIT THE LIKE BUTTON |
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| 67487. |
s. In a hot water heating system, there is a cylindrical pipe of lengh 23 n and am5 cm. Find the total radiating surface in the system |
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Answer» Thanks |
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| 67488. |
5 'n 2e : kăhen ,.bnie m.t i θ |
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| 67489. |
In a hot water heating system, there is a cylindrical pipe of length 28 m and5 cm. Find the total radiating surface in the system.diameter8. |
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Answer» thanks |
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| 67490. |
fle2log x – 2e-3log x) dx |
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| 67491. |
Inahotwaterheatingsystem,therescyinrcalpieoftrugnhkmuidbaneerth 28 m and diameter5 cm. Find the total radiating surface in the system. |
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Answer» thanks |
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| 67492. |
EXERCISE 11. Find the ratio of 35 kg to 6500 g.Ans. |
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Answer» 35000/6500350/6570:13 there 6500 is in gram so 6500gram =65kgso 35:65= 7:13 70:13. convert kg into gram 1kg=1000gso 35×1000/65003500/6500 |
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| 67493. |
lxaath=2eX-a X-X-C |
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Answer» A / (x - a) + b / (x - b) = 2c / (x - c)=> [a(x - b) + b (x - a)] / (x - a) (x - b) = 2c / (x - c)=> [(a + b) x - 2ab] (x - c) = 2c [x^2 - (a + b)x + ab]=> (a + b) x^2 - [2ab + c(a + b)]x + 2abc = 2cx^2 - 2c(a + b)x + 2abc=> (a + b - 2c) x^2 = (2ab + ac + bc - 2ca - 2bc) x=> (a + b - 2c) x^2 = (2ab - ca - bc) x=> x = 0or x = (2ab - ca - bc) / (a + b - 2c) |
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| 67494. |
1. Find the mean of first 50 natural numbers.Ans: 2552.Find the mean of first n even positive integers.Aus: n+13. The weights (in kg) of 8 new born babies are 3, 3.2, 3.4, 3. 5, 4, 3. 6, 4 1, 3.2. Find the meanweight of the babies.Ans: 3.5 kg |
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Answer» tuzhe pata nhi kya ans Abe solution de Iska answer to terko pata hi hai to solution khudh karle |
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| 67495. |
ऌ 142%) 2 (9+s) (1+%2e) 9 |
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Answer» your answer will be zero after divide by both |
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| 67496. |
a positive integer when subtract from 28 become eh 16 times it reciprocal . find the number |
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Answer» Please check the question.Here I have given the correct solution. Let the number be x Now, (28 - x) = 160 / x 28x - x²= 160 x²- 28x + 160 = 0 x²- 20x - 8x + 160 = 0 x(x - 20) - 8(x - 20) = 0 (x - 8)(x - 20) = 0 x = 8 , 20 Like my answer if you find it useful! |
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| 67497. |
In a hot water heating system, there is a cylindrical pipe of length 25 m and diameter5 cm. Find the total radiating surface in the system. |
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Answer» Thank you |
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| 67498. |
In a hot water heating system, there is a cylindrical pipe of length 28 m and diam5 cm. Find the total radiating surface in the systen.INCE |
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| 67499. |
8. In a hot water heating system, there is a cylindrical pipe of length 28 m and diameter5 cm. Find the total radiating surface in the system. |
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| 67500. |
4 Find the value of p for which the numbers 2p-1, 3p+1,11 are in AP2CBSE 2017Hence, find the numbers. |
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Answer» 2p-1, 3p+1, 11 are in AP 2(3p+1)=2p-1+116p+2=2p+106p-2p=10-24p=8p=8/4=2 |
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