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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.
| 5551. |
Prove that (3+25)is itrational |
| Answer» Let take that 3 + 2√5 is a rational number.So we can write this number as3 + 2√5 = a/bHere a and b are two co prime number and b is not equal to 0Subtract 3 both sides we get2√5 = a/b – 32√5 = (a-3b)/bNow divide by 2 we get√5 = (a-3b)/2bHere a and b are integer so (a-3b)/2b is a rational number so √5 should be a rational number But √5 is a irrational number so it contradict the factHence result is 3 + 2√5 is a irrational number | |
| 5552. |
With the help of Euclid division algorithm find the HCF of 196 or 38220 |
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Answer» 38220=196×195+0[ Division algorithm: a=b×q+r]Therefore, Since thereminder is zero, 196 is the HCF. 38220>196 we always divide greater number with smaller one.Divide 38220 by 196 then we get quotient 195 and no remainder so we can write it as38220 = 196 * 195 + 0As there is no remainder so deviser 196 is our HCF |
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| 5553. |
What kind of decimal is 6/5 |
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Answer» Rational terminating decimal Since 6/5 ends to be 1.2 in its decimal form therefore it is a terminating decimal.... Terminating decimal Terminating |
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| 5554. |
Smile maths paper 1 to 10 |
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| 5555. |
solve 3x+5y=-9 and x+5/3y=3 By substitunal method |
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| 5556. |
t²-3, 2t⁴+3t³-2t²-9t-12 |
| Answer» Since the quotient is 2t^2+3t+4....And the remainder is 0....Therefore, yes t^2-3 is a factor of (2t^4)+(3t^3)-(2t^2)-(9t)-12.... | |
| 5557. |
mx-my =m*2+n*2 and x+y=2m by elimination method |
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| 5558. |
What is face value |
| Answer» Face value is a financial term used to describe the nominal or dollar value of a security, as stated by its issuer. For stocks, the face value is the original cost of the stock, as listed on the certificate. | |
| 5559. |
X-y-2= |
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Answer» x-y-2=0Therefore x-y=2...........( By transposition) x-y=2 2 X-Y-2=0X-Y=2 2 |
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| 5560. |
-5 is a zeros of x square - 5 |
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| 5561. |
Form form the linear equation for father is 2 year less than thrice his age son his son age |
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| 5562. |
Ex 1.1 Question 1 |
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| 5563. |
If cot theta = ⅞, evaluate :(1+sin theta) (1- sin theta) /(1+cos theta)(1-cos theta) |
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| 5564. |
If sin thetha=12/3,then evaluate [2sin thetha-3cos thetha/4sin thetha-9cos thetha] |
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| 5565. |
in triangle abc if angle b=90 degree , AB=5cm,AC+BC=25cm.Find sec A-tan A |
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| 5566. |
X+y=2 (equation 1) 2x-y=1 (equation 2) by cross multiplication method |
| Answer» In eq 1x+y=2x=2-ySimilarly in eq 2x= (1+y)/2Therefore2-y=(1+y)/24-2y=1+yCross multiplication.....3y=3y=1Thereforex=2-yx=2-1x=1y=1---------------------------------Hope it helps... | |
| 5567. |
If sin 60 degree cos 30 degree + sin 30 degree and 60 degree |
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| 5568. |
Write the following rational number in decimal from 327/500 |
| Answer» 0.654 | |
| 5569. |
A pair of linear equations which has a unique solution (x=2,y=-3) |
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Answer» Options are (i) x+y=1& 2x-3y=-5(ii) 2x-y=1 & 3x+2y =0(iii) x-4y-14=0& 5x-y-13=0(iv) 2x+5y=-11&4x+10y=-22 A pair of linear equation which has a unique solution (x=2 ,y= -3) Simple linear equation: x+y=-1x-y=5 |
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| 5570. |
Reduce to quadratic equation and solve for x : (x+1)(x+2)(x+3)(x+4)+1=0 |
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| 5571. |
Animate each of the following using general rule. a= 730+998 |
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| 5572. |
4s^2-4s+1 |
| Answer» G | |
| 5573. |
Suggest a lesson plan for maths lesson |
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Answer» Start with trigonometry aur triangle aur circle last me pdana ....... Thanks for your suggestion Start from polynomials If you want any more help ...... then ask i will help you ...... Start from algebra or trignometry both are intresting |
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| 5574. |
Find the amount When principal time and interst rate is given |
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| 5575. |
Show that (√3+√2)^2 is an irrational number |
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| 5576. |
What are the three possibilities that can happen for two given line. |
| Answer» The two given lines a)are coinciding b)are parallel or c)are intersecting lines | |
| 5577. |
Sushant reads 1/4 part of a book in 1 hour. How much part of the book will he read in 21/5 hour? |
| Answer» 21/20 part | |
| 5578. |
show that 5+2√7 is an irrational number where √7 is given to be an irrational number |
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Answer» Dear see this ques in maths book ...... 5262726+889 |
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| 5579. |
How to express 2056 as a product of prime factor |
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Answer» 2×2×2×2...jab tak 2056 na aa jaye Dear , Kbhi book utha ke dekh liya kro..... |
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| 5580. |
The HCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161, find the other. |
| Answer» Other number = LCM ×HCF / 1st numberOther number = 1449 ×23 / 161Other number = 207 | |
| 5581. |
show that the three consecutive number are divisible by 6? why there is need to take 3 instead of 6 |
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| 5582. |
52+51 |
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Answer» 103 10350+2+50+1=50+50+2+1=100+3=103? 103 103 103 |
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| 5583. |
Prove that √3 is an irrational number. |
| Answer» Let us assume that √3 is a rational number.Then, as we know a rational number should be in the form of p/q where p and q are co- prime number.So,√3 = p/q { where p and q are co- prime}√3q = pNow, by squaring both the side we get,(√3q)² = p²3q² = p² ........ ( i )So,if 3 is the factor of p²then, 3 is also a factor of p ..... ( ii )=> Let p = 3m { where m is any integer }squaring both sidesp² = (3m)²p² = 9m² putting the value of p² in equation ( i )3q² = p² 3q² = 9m²q² = 3m²So,if 3 is factor of q²q is divisible by 3From this we can say p and q have a common factor 3It contradicts our assumption p and q are co primes Therefore root 3 is an irrational number | |
| 5584. |
If the four degree of polynomial is added to the divided by the quadratic equation |
| Answer» Quotient-quadratic polynomialRemainder-linear polynomial | |
| 5585. |
X²+32x-273=0 |
| Answer» Given: x2 + 32x – 273 = 0We can rewrite the given equation as\xa0⇒ x2 + 39x - 7x – 273 = 0⇒ x( x + 39) 7 7(x +39) = 0⇒ ( x +39)(x - 7) = 0∴ Factors of the given quadratic equation are ( x + 39) and (x - 7) | |
| 5586. |
Solve x+y=5 and 2x-3y=4 by elimination method |
| Answer» X + y = 5 ( equation 1 )2x - 3y = 4 ( equation 2 )Now,multiplying (eq.1) by 2 and subtracting (eq.2) from ( eq.1 )(2x + 2y = 10) - (2x - 3y = 4 )=> 2x + 2y - 2x + 3y = 6=> 5y = 6=> y = 6/5Putting the value of y in ( eq.1 )=> x+ y = 5=> x + 6/5 = 5=> x = 5 - 6/5=> x = 19/5 | |
| 5587. |
Solve. x+y=0 and 2x-3y=4 by elimination method |
| Answer» X + y = 5 ( equation 1 )2x - 3y = 4 ( equation 2 )Now,multiplying (eq.1) by 2 and subtracting (eq.2) from ( eq.1 )(2x + 2y = 10) - (2x - 3y = 4 )=> 2x + 2y - 2x + 3y = 6=> 5y = 6=> y = 6/5Putting the value of y in ( eq.1 )=> x+ y = 5=> x + 6/5 = 5=> x = 5 - 6/5=> x = 19/5 | |
| 5588. |
Show that any positive odd integer is of the form 6q+1or 6q+3or 6q+5where a is some integer |
| Answer» Let a be any integer divisible by 6....So, a = 6q, 6q+1, 6q+2, 6q+3, 6q+4,6q+5, ...(0<= r <6)We know that multiple of 6 are even and addition of even with even is also even...Therefore, 6q, 6q+2, 6q+4 are even.......hence, 6q+1,6q+3,6q+5 are odd_______________________________HOPE THIS WILL HELP U TO UNDERSTAND??? | |
| 5589. |
3x²+25x -18 |
| Answer» 3x²+25x-183x²+27x-2x-183x(x+9) -2(x+9) (x+9) (3x-2) | |
| 5590. |
2X²+5x +3 |
| Answer» Given\xa02x2+5x+3 =2x2+2x+3x+3 =2x(x+1) +3(x+1)\xa0 =(x+1) (2x+3)\xa0Thus2x2+5x+3= (x+1) (2x+3)\xa0\xa0 | |
| 5591. |
Euclid\'s division algorithm |
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Answer» a = bq + r. Where \' a \' and \' b \' are integers and 0 ≤ r | |
| 5592. |
If one of the zeroes of polynomialp{x}:x^2-8x + k is seven times of other then find the value of k |
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| 5593. |
Solutions of arithmatic progress |
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| 5594. |
What is the sum of zero and perodukt of zero |
| Answer» Sum of zero = -b/aProduct of zero = c/a | |
| 5595. |
Find lcm and hcf of 84, 90, 120 |
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Answer» Determine the whose third term is 5 and seventh term is 9 HCF =6LCM=1260 |
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| 5596. |
Impossible event in probability |
| Answer» The event which cannot happenP(impossible event)=0 | |
| 5597. |
Find the least no. that is divisible by all the no. between 1-10 |
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Answer» Ans : 1 Reason : We will find the LCM of 1,2,3,4,5,6,7,8,9,10 = 01. So we have to find the LCM of 1,2,3,4,5,6,7,8,9,10 One (1) 1 |
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| 5598. |
(a+2b)x + (2a+b) |
| Answer» (a + 2b) x + (2a + b)= (2a + b) (x+ 1) | |
| 5599. |
Prove that 2+√3 is an irrational number |
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| 5600. |
What is the hch of 36 ,63 and 108 ecluid anglorithm |
| Answer» 9 | |