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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.
| 4751. |
p(t) =4t^3 -st^2 + 7 . Find valur if s |
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| 4752. |
q(s) = -4s^3 + 7s^2 - 24 |
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| 4753. |
Define of rational and irrational and corresponding |
| Answer» A rational number is part of a whole expressed as a fraction, decimal or a percentage.A number is rational if we can write it as a fraction where the top number of the fraction and bottom number are both whole numbers.The term rational is derived from the word \'ratio\' because the rational numbers are figures which can be written in the ratio form.Every whole number, including negative numbers and zero, is a rational number. This is because every whole number ‘n’ can be written in the form n/1For example, 3 = 3/1 and therefore 3 is a rational number.Numbers such as 3/8 and -4/9 are also rational because their numerators and denominators are both whole numbers.Recurring decimals such as 0.26262626…, all integers and all finite decimals, such as 0.241, are also rational numbers.Alternatively, an\xa0irrational number\xa0is any number that is not rational. It is a number that cannot be written as a ratio of two integers (or cannot be expressed as a fraction).For example, the square root of 2 is an irrational number because it cannot be written as a ratio of two integers.The square root of 2 is not a number of arithmetic: no whole number, fraction, or decimal has a square of 2. Irrational numbers are square roots of non-perfect squares. Only the square roots of square numbers are rational.Similarly Pi (π) is an irrational number because it cannot be expressed as a fraction of two whole numbers and it has no accurate decimal equivalent.Pi is an unending, never repeating decimal, or an irrational number. The value of Pi is actually 3.14159265358979323… There is no pattern to the decimals and you cannot write down a simple fraction that equals Pi.Euler\'s Number (e) is another famous irrational number. Like Pi, Euler\'s Number has been calculated to many decimal places without any pattern showing. The value of e is 2.7182818284590452353… and keeps going much like the value of Pi.The golden ratio (whose symbol is the Greek letter "phi") is also an irrational number. It is a special number approximately equal to 1.618 but again its value is never ending: 1.61803398874989484820... | |
| 4754. |
Evalulate-√(13+4√10) - √(7-2√10)[there is a root on the whole equation 1)13+4√10 and 2)7-2√10] |
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| 4755. |
Given a12=37,d=3,find d and s13 |
| Answer» Correct Question:\xa0In an APGiven a12\xa0= 37, d = 3, find ‘a’ and S12.Here, a12\xa0= 37, d= 3We know that, an\xa0= a + (n - 1)d\xa0a12\xa0= a + (12 - 1) x 3\xa037 = a + 11 x 3\xa0a = 37 - 33 = 4And, \xa0Similarly you can find S13, put n as 13 in Sn formula. | |
| 4756. |
√23 is a rational or irrational no. |
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Answer» Irrational Assume it was rational then\xa0√23√23\xa0= a/b,\xa0where a, b are integers,\xa0and\xa0therefore 23 = a²/b².\xa0So a² = 23b².\xa0Now\xa0√a² = a = an integer,\xa0and\xa0therefore\xa0√23b²\xa0= integer.\xa0√23b²= b*√23√23\xa0is not an integer, so the assumption was wrong.\xa0Therefore\xa0√23\xa0is not rational. |
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| 4757. |
How to find root 5 |
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| 4758. |
If a=1,b=2 then find the value of (a+b) |
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Answer» Given : a= 1 b=2Therefore , ( a + b ) = ( 1 + 2 ) = 3 Answer is 3 |
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| 4759. |
Satatics |
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| 4760. |
-2 is a rational number |
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Answer» yes Yes Yes |
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| 4761. |
Can you please explain about polynomials with examples related to class ninth. |
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| 4762. |
What is the method to express 0.2353535.... In the form p/q,where p and q are integers and q≠o |
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| 4763. |
√5+√3/√5-√3=a+b√15 |
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Answer» √5+√3/√5-√3√5+√3×√5+√3/√5-√3×√5+√35+3/(√5×√5)-(√3×√3)7/5-37/2 ans. Rationalize rhe term |
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| 4764. |
Right any three Identity |
| Answer» Identity I: (a + b)2\xa0= a2\xa0+ 2ab + b2Identity II:\xa0(a – b)2\xa0= a2\xa0– 2ab + b2Identity III: a2\xa0– b2= (a + b)(a – b)Identity IV: (x + a)(x + b) = x2\xa0+ (a + b) x + abIdentity V: (a + b + c)2\xa0= a2\xa0+ b2\xa0+ c2\xa0+ 2ab + 2bc + 2caIdentity VI: (a + b)3\xa0= a3\xa0+ b3\xa0+ 3ab (a + b)Identity VII: (a – b)3\xa0= a3\xa0– b3\xa0– 3ab (a – b)Identity VIII:\xa0a3\xa0+ b3\xa0+ c3\xa0– 3abc\xa0= (a + b + c)(a2\xa0+ b2\xa0+ c2\xa0– ab – bc – ca) | |
| 4765. |
Rational no |
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Answer» The numbers which can be written in p/q form in which both are integers and q is not equals to zero The numbers which can be written in the form of p/q where q does not equal to 0. Example 6,7/6 etc |
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| 4766. |
√x+1/√x . Find x if x=9-4√5 |
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| 4767. |
write two solution for the equation 2x+y=1 |
| Answer» First of all take x=0 the you will get y=1 so one solution of equation is (0,1) then take y=0 then you will get x=1/2 so another root is (1/2,0) this is one of the ways to solve the sum. | |
| 4768. |
1(5+6) |
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Answer» =1(5+6) =1×(11) =11 ans 1(5+6)= 1 (11)= 11 11 |
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| 4769. |
What is equal to 50%? |
| Answer» 50/100 | |
| 4770. |
What is the square foot of 70 |
| Answer» 8.36660026534 | |
| 4771. |
Under root 5 on the number line |
| Answer» We need to draw a line segment AB of 1 unit on the no. Line then draw a straight line segment BC Of 2 units. Then join the points C and A to form a line segment BC. Then draw the arc ACD TO get the no( root 5) on the no. Line. | |
| 4772. |
X+5=o answer is x=-5 so why |
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Answer» 5 is in the left side we will move it to the left side so it will become -5. So x=-5 (A+b) ² |
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| 4773. |
How can differ rational numbers |
| Answer» Your question is not completely and not perfect santance? | |
| 4774. |
Find a and b 7+√5 /7-√5 -7-√5/7+√5 a+7/11 √5b |
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| 4775. |
Give an example of a square root of a no. That is a rational number... |
| Answer» √4 which is rational number. Which has answer 2 | |
| 4776. |
Find three different irrational number between the rational numbers 5/7 and 9/11 |
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Answer» Multiply by (3+1)=4=5×4 by 7×4 = 9×4 by 11 ×418 by 30 =24 by 30Five rational num\'s are :-, 19 by 30, 20 by 30, 21 by 30, 22 by 30, and 23 by 30 Let us convert 5/7 and 9/11 into decimal form, to get 5/7 = 0.714285... and 9/1 = 0.818181.... . Three irrational numbers that lie between 0.714285.... and 0.818181.... are: 0.73073007300073…. 0.74074007400074…. 0.76076007600076….Read more on Sarthaks.com - https://www.sarthaks.com/111267/find-three-different-irrational-numbers-between-the-rational-numbers-5-7-and-9-11 |
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| 4777. |
7(y+3)-2(x+2)=14 ,4(y-2)+3(x-3)=2 |
| Answer» 7(y+3)-2(x+2)=147y+21-2x-4=147y+17-2x=14. .....(1)4(y-2)+3(x-3)=24y-8+3x-9=24y-17+3x=2. .....(2)By adding equation (1). And (2)(7y+17-2x=14)×3(4y-17+3x=2)×221y+51-6x=428y-34+6x=421y+51=428y-34=429y+17=4629y=46-1729y=29 y=1By putting value of y in equation (1)7y+17-2x=147×1+17-2x=1424-2x=142x=24-142x=10x=5x=5; y=1 | |
| 4778. |
Commutative law |
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| 4779. |
Simplify 6-4√3/6+4√3 by rationalising the denominator |
| Answer» The answer is 15+root3/3 | |
| 4780. |
1÷0? |
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Answer» 1/0 is not defined. 0 |
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| 4781. |
1 .2. ka second question |
| Answer» No,because under root 4=2 | |
| 4782. |
0.6+0.7+0.47 in p÷q |
| Answer» Here, 0.6+0.7++0.47 = 1.77Let x = 1.7777..... ........... (1)So, 10x = 17.7777...... ..........(2)Now , subtracting (1) from (2),9x = 16x = 16/9Hence, 0.6+0.7+0.47 = 1.77 p/q is 16/9. | |
| 4783. |
1/2÷√3/4 |
| Answer» 2 | |
| 4784. |
State differences between rational and irrational numbers??? ?????? |
| Answer» Rational numbers are those numbers which can be written in the form of p/q where q can not be equal to 0.irrational numbers are those which cannot be written in the form of p/q. | |
| 4785. |
1 unit=? |
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| 4786. |
Find five rational numbers 1 and 2 |
| Answer» 5+1=61=6/6 2=12/66/6, 7/6, 8/6, 9/6, 10/6, 11/6, 12/6are the 5 rational numbers between 1 and 2. | |
| 4787. |
Find a and b-1) √2-1/√2-1=a+b√32) 5+2√3/7+4√3=a+b√3 |
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| 4788. |
1.3222+0.353535 as fraction in simplest form |
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| 4789. |
[√5-1 + √5+1] |
| Answer» Formula=(a+b)(a-b)=(a×a)-(b×b) =(√5×√5)-(1×1) =5-1= 4 Ans | |
| 4790. |
7½8½ simplify |
| Answer» √56 | |
| 4791. |
If x=2-√3,find the value of(x-1÷x) whole cube. |
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Answer» 0is the the right answer I hope answer is x Hi |
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| 4792. |
Camparing both sides |
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| 4793. |
Find the sum of two consticutive odd number |
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Answer» 1+3= 4 Are they not telling the answer ? |
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| 4794. |
2-√3÷√3 |
| Answer» 1is answer | |
| 4795. |
Factorize :√3xsq+11x+6√3 |
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| 4796. |
Find the value of k if x=2 y=2 solution the equation 2x+3y=k |
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Answer» 10... answer is x 2 ‚y 22×2+3×2=k4+6=k10 =k 10 Answer |
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| 4797. |
Find out root 3 |
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| 4798. |
12ײ-7×+1 |
| Answer» 12x2 - 7x + 1= 12x2 - 4x - 3x + 1= 4x ( 3x - 1) - 1(3x - 1)= (4x - 1) (3x -1) | |
| 4799. |
Rationalize: 4√3÷√6+√2 |
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| 4800. |
simplify(3)1/4×(5)1×4 |
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