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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.
| 9301. |
What is first four consecutive positive terms of an AP |
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| 9302. |
Activities for class 8 |
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| 9303. |
If alpha and beta are zeroes of polynomail 4xcube +3x -7 |
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| 9304. |
Prove that cos45- sin45=0 |
| Answer» We know that cos 45=1/√2 and sin 45=1/√2Therefore 1/√2-1/√2=0Hence it is proved | |
| 9305. |
Prove that root 2 is an irrational no |
| Answer» Let √2 is an irrational numberLet √2=p/q (where p and q are integers and q is not equal to 0) -1Let a/b is the lowest form of p/q So,p/q=a/b (where a and b are co- prime numbers)Putting in 1√2=a/bSquarring both side(√2)^2 = (a/b)^22=a^2/b^2a^2 = 5b^2So,2 is the factor of a^2also 2 is the factor of aLet a=2m( where m is some integer) (2m)^2= 2b^24b^2=2b^2 4b^2/2 = b^2 2b^2 = b^2b^2=2b^2 So,2 is the factor of b^2also 2 is the factor of bHere,2 is the factor of both a and b .This contradict our supposition that √2 is an rational number is wrong. Hence ,√2 is an irrational number | |
| 9306. |
If p, q are prime positive integers, prove that √p + √q is an irrational number.10. |
| Answer» Please tell the answer | |
| 9307. |
65m-113n |
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| 9308. |
(x-3)^2=(2x-5)(3-x) check whether it is a quadratic equation |
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| 9309. |
126 HcF |
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Answer» 126-2,3,3,7HCF=3×2×7 =42ans HCF = Highest Common Factor. Factors of 126=2,3,3,7So, H.C.F= 3 |
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| 9310. |
0 is a real number but why |
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| 9311. |
A number when divided by 61gives 27 as quotient and 32 as remainder find the number |
| Answer» Answer is 1679solution :61×27 + (32)=1647+32=1679 | |
| 9312. |
Prove that √5 is an irrational number. |
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| 9313. |
Prove that (5+2root5) hole square 2 is irrational |
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| 9314. |
2y^2 + 12y - 432 |
| Answer» 2y ×2y+12y-4324y+12y-43216y=432y=432÷16y=27 | |
| 9315. |
Check whether 4n can end with the digit 0 for any natural number |
| Answer» If the 4n is end with zero it has 5 and 0 as a prime factorisation but it 2 and 2 as a prime factor so it is end with digit zero | |
| 9316. |
Find the value of Alpha / beta + beta upon Alpha if in the polynomial X square + bx + c |
| Answer» Take LCM of alpha and beta LCM will be alpha betaBeta and beta will be cancelled then put + sign then alpha and alpha will be cancelledEquation: alpha + beta divide by (/) alpha betaThen apply sum of zeros and product of zeros Then a and a will be cancelled remaining -b/c And answer will be -b/c | |
| 9317. |
Show that the following numbers are irrational (i) 3/(2√5) (ii) 4 +√2\u200b |
| Answer» Because | |
| 9318. |
Show that the following number is irrational 3/(2√5) |
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| 9319. |
[a+b] [a+b] |
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Answer» (a+b)^2=a^2-b^2+2ab (a+b)² =a²+ b²+ 2ab a²+b²+2ab a²+b² a²+b² |
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| 9320. |
√2x²-3x-2√2 splitting middle term |
| Answer» ✓2x²+4x-1x-2√2√2(x-2√2)+1(x-2√2)(X-2√2). (√2x+1) | |
| 9321. |
Solve the following for x and y ax/b - by/a = a+b ax-by=2ab |
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| 9322. |
Hlo sir |
| Answer» Hlo | |
| 9323. |
Find the sum of first twelve 2- digit number which are multiple of 6 |
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| 9324. |
5 is one of the zeroes of the polynomial p(x)=2x³-5x²-13x+30. true or false |
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| 9325. |
History of pie |
| Answer» The value of pie is not defined | |
| 9326. |
If tan (A-B) = 1/2 and cos (A+B) =1/2, 0° |
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| 9327. |
a^m^n =[a^m]^n |
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| 9328. |
75/455 is terminating or non terminating decimal expansion |
| Answer» Terminating | |
| 9329. |
Simplify 2+2√13/8 |
| Answer» 2.90138781887 | |
| 9330. |
The sum of two numbers is 84 and their HCF is 4 total number of such pairs of number |
| Answer» 84 | |
| 9331. |
Linear combination of 13 |
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| 9332. |
Show that 2√ 3- 5 is an irrational number |
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| 9333. |
The number of polynomial has zeros as - 2 and 5 is |
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| 9334. |
All the best all of you my friends for sst exam 🤞🤞🤞 |
| Answer» Same | |
| 9335. |
Write0.333.... in the form of p/q |
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Answer» Hii 0.333 = 333/1000 Let x = 0.33333..... ..1Multiplying eq. 1 with 10So, 10x = 3.33..... ..2Subtracting eq.2 from 1So, 10x - x = 3 9x = 3 x = 3/9 x = 1/3Thus 0.333...=1/3 |
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| 9336. |
The site of food made and him what does he suggested |
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| 9337. |
(sin A + cosec A ) ^ 2 * (cos A + sec A ) ^ 2 = 7 + tan 2 A + cot 2 A |
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| 9338. |
Root 3x²+10x+7root3=0 |
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| 9339. |
show that only one of the numbers n , n+2 , n+4 is divisible by 3 |
| Answer» Case-I: When n = 3qIn this case, we haven= 3q, which is divisible by 3Now, n = 3qn+2 = 3q+2n+2 leaves remainder 2 when divided by 3Again, n = 3qn+4 = 3q+4=3(q+1)+1n+4 leaves remainder 1 when divided by 3n+4 is not divisible by 3.Thus, n is divisible by 3 but n+2 and n+4 are not divisible by 3. Case-II: when n = 3q+1In this case, we haven= 3q+1,n leaves remainder 1 when divided by 3.n is divisible by 3Now, n = 3q+1n+2 = (3q+1)+2=3(q+1)n+2 is divisible by 3.Again, n = 3q+1n+4 = 3q+1+4=3q+5=3(q+1)+2n+4 leaves remainder 2 when divided by 3n+4 is not divisible by 3.Thus, n+2 is divisible by 3 but n and n+4 are not divisible by 3. Case-III: When n + 3q+2In this case, we haven= 3q+2n leaves remainder 2 when divided by 3.n is not divisible by 3.Now, n = 3q+2n+2 = 3q+2+2=3(q+1)+1n+2 leaves remainder 1 when divided by 3n+2 is not divisible by 3.Again, n = 3q+2n+4 = 3q+2+4=3(q+2)n+4 is divisible by 3.Thus, n+4 is divisible by 3 but n and n+2 are not divisible 3. | |
| 9340. |
Show that 21n cannot end with the digits 0, 2, 4, 6 and 8 for any natural number n. |
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| 9341. |
Three prime number Pqr statify the following condition = P + Q = R and 1< P |
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| 9342. |
Ex 2B 11question rs Aggarwal |
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| 9343. |
Ex,2a |
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| 9344. |
Exercise 6.3 question number 4 solution |
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| 9345. |
polynomials ex 2.2 ans |
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Answer» And x=2 X=4 |
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| 9346. |
Six x equal minust three minus seven |
| Answer» look at maths chapter 2 polynomial and find NCERT solutions you will get ans . | |
| 9347. |
if in board exams I don\'t take vale of √3 as 1.73 if give, then are marks deducted? |
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Answer» Yess Yes Yes |
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| 9348. |
Find the value of Sin ^2 30 cos^2 45+4tan^2 30+1/2 sin ^2 90-2cos 90 +1/2 |
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| 9349. |
All the best guys for Maths board exam don\'t get tension write happily |
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| 9350. |
(4,7)and(10,-1) |
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