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.
| 62551. |
Prove that sin 20sin 40 sin 80°- YS8 |
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| 62552. |
Ys 2%dire.co.lose. |
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| 62553. |
Factorise: x6-ys |
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| 62554. |
y=2x+ 3ys 2 e7 |
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| 62555. |
18. A train 150 m long crosses a tree in 6 seconds. What is the speed of the train in km per |
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Answer» speed = distance / time = 150 / 6 = 25 m/s = 25×3600/1000 km/h = 90 km/h |
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| 62556. |
12. A train 150 m long crosses a tree in 6 seconds. What is the speed of thetrain in km/hr ? |
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Answer» Train length = 150 mTime taken to cross tree = 6 sec We know,Distance = speed x time Then speed of train= Distance / time= 150/6 = 25 m/sec= 25*18/5= 18*5 = 90 km/hr |
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| 62557. |
4. A train is 150 meters long and the platform at the station is285 meters long. How far does the train travel in crossing theplatform? |
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Answer» 435 meters train travel in crossing the platform 435 metres train travel in crossing the platform 435 m is the correct answer of the given question The correct answer of this question = 435 metre. |
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| 62558. |
SE)(iu)IIT |
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| 62559. |
18. A train 150 m long crosses a tree in 6 seconds. What is the speed of the train in km per hour? |
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| 62560. |
. Aand B take 6 hours and 9 hours respectively to complete a work. A works for1 hour and then B works for two houns(0 How much work is done in these 3 hours?(i) How much work is still leftin 12 15 and 20 davs respectively |
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| 62561. |
Q. 1 The molality of pure water is..(a) 1(b)18 (c) 55.55(d) 0.0555 |
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Answer» The density of water is approximately 1000 g/L and its molar mass is 18.02 g/mol (or 1/18.02=0.055 mol/g). Therefore, the molar concentration of water is: (H2O) = 1000 g/L / (18.02 g/mol) = 55.5 mol/L.Option (C) |
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| 62562. |
1. Rakesh can do a piece of work in 20 days. How much work can he do in 4 days? |
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| 62563. |
16. Find the time taken by a train 150 m long, running at 60 km/hr in crossing a man standing onthe platform. |
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Answer» Given:-Lenght of the train=150 mSpeed of the train=60 km/hr=50/3 m/s Time taken by the train to cover the man standing on the platform=length of the train/it's speed =150 m/(50/3) m/s=9 secs |
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| 62564. |
(i) area of circle is 1476 cm2(ii) diameter of circle is 70 cm. |
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| 62565. |
Differentiate the following function wrote(rootx+1/rootx)^2 |
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Answer» it is asked for 5 mark |
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| 62566. |
5. Find the side of a square of area (i) 1936 m2 (ii) 900 cm2 ii |
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Answer» thanks |
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| 62567. |
SOgFEAR TR DRGNS = |
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| 62568. |
Prove thatyp+vq is irrational, where p, q are primes. |
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Answer» First, we'll assume that √p + √q is rational, where p and q are distinct primes√p + √q = x, where x is rational Rational numbers are closed under multiplication, so if we square both sides, we still get rational numbers on both sides. (√p + √q)² = x²p + 2√(pq) + q = x²2√(pq) = x² - p - q √(pq) = (x² - p - q) / 2 Now x, x², p, q and 2 are all rational, and rational numbers are closed under subtraction and division. So (x² - p - q) / 2 is rational. But since p and q are both primes, then pq is not a perfect square and therefore √(pq) is not rational. But this is a contradiction. Original assumption must be wrong. So √p + √q is irrational, where p and q are distinct primes --------------------- We can also show that √p + √q is irrational, where p and q are non-distinct primes, i.e. p = q We use same method: Assume √p + √q is rational.√p + √q = x, where x is rational√p + √p = x2√p = x√p = x/2 Since both x and 2 are rational, and rational numbers are closed under division, then x/2 is rational. But since p is not a perfect square, then √p is not rational. But this is a contradiction. Original assumption must be wrong. So √p + √q is irrational, where p and q are non-distinct primes --------------------- ∴ √p + √q is irrational, where p and q are primes Answer is very big sir |
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| 62569. |
2. If x r + yp + 4, show thatdy ydx x |
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| 62570. |
Use Euclid's algorithm to find the HCF of(i) 900 and 270 (ii) 196 and 38220 |
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Answer» (i ) 900=270(3)+90 270 =90(3)+0 HCF of 900 &270 is 90(ii)38220=196(195)HCF of 196 & 38220 is196 |
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| 62571. |
Use Euclid's division algorithm to find the HCF of(i) 900 and 270(ii) 196 and 38220(iii)I651 and 2032 |
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Answer» 1)Let a and b be any two positive integers .Then there exists two unique whole numbers q and r such that a = bq + r , 0 ≤ r < b ****************************************** Now , 900 and 270 , start with the larger integer , that is 900. Apply the Division lemma , we get 900 = 270 × 3 + 90 270 = 90 × 3 + 0 The remainder has now become zero . Now our procedure stops. Since the divisor at this stage is 90. Therefore , HCF ( 900 , 270 ) = 90 |
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| 62572. |
e1/x, x:W1 , x=0at x = 0.4.Examine the following function for continuity : f(x) =ă, |
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| 62573. |
54. What is the value of k for which the followingfunction f (x) is continuous for all x?forx#1(x-1)2)If (x) =2.-,forx=1[NDA 2011(1)](d)-1(a) 3(b) 2 |
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| 62574. |
For which of the following intervals is the function f(x) = x2 + 5x - 14 positive? Choose all that apply.x<2-7 <x<2*>2X<-7 |
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Answer» yes this is the right answer |
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| 62575. |
\lim _{h \rightarrow 0} \frac{(x+h)^{7}-x^{7}}{h} |
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| 62576. |
(h - x)*(h %2B x)=-x^2 %2B z^h |
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| 62577. |
\operatorname { lim } _ { h \rightarrow 0 } ( \frac { \sqrt { x + h } - \sqrt { x } } { h } ) |
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Answer» The solutions are uploaded step by step! I have numbered it accordingly as the page numbers. |
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| 62578. |
Relations and FunctionC-2. Find the domain of each of the following functions :x3 – 5x+3(ii)=f(x) =sin(cosx)(1)f(x) = -12_1fly) = ex+sinx |
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| 62579. |
f(x)=a x^{2}+b x+c\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}=2 a x+b |
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| 62580. |
\operatorname { lim } _ { h \rightarrow 0 } \frac { \operatorname { sin } ^ { 2 } ( x + h ) - \operatorname { sin } ^ { 2 } x } { h } |
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Answer» if we put h=0 we will get 0/0 formso using L'hospital rulelim h->0 (2sin(x+h)cos(x+h)-2sinxcosx)/1=2sinxcosx-2sinxcosx=0 |
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| 62581. |
I travel a distance of 10 km and come back in 22 hours. What is my speed |
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Answer» speed is distance/timehencespeed will be 10/5/2=4km/hr |
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| 62582. |
5. What was the result of this pp eaceful protest by American athletes in Olympics? |
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Answer» The US. athletes Tommie and Carlos protested by raising black gloved clinched fists with no shoes to show black poverty. They were punished by international Olympic association by taking their medal aback. Norman who protested by wearing a human right badge was not included in the Australian team. They all faced legal problems but their action succeeded in gaining international attention for civil rights movement and this proved to be a measure to curb or end the black poverty and discrimination in USA. |
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| 62583. |
find the domain of the following function f(x)=x/x2+3x+2 |
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Answer» f(x) = x/x^2 + 3x + 2 x^2 + 3x + 2 = 0x^2 + 2x + x + 2 = 0x(x + 2) + 1(x + 2) = 0(x + 1)(x + 2) = 0x = - 1, - 2 This means that, whenx=−1or- 2, we have thex^2 + 3x + 2 = 0Implying thatf(x) = x/0which isundefined. Hence, the domain is all real numbers except−1 and- 2 Also written asDf=(−∞,−2)∪(-1,+∞) |
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| 62584. |
Gynoecium is made up of-(A) Stigma(C) Ovary(C)A=UWhich of the following is a wrong pa(A) G=C(C/ A=U |
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Answer» In DNA Adenine-Thymine and Guanine-Cytosine pair together due to the formation of hydrogen bonds between the two bases. So The answer is option C Like my answer if you find it useful! |
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| 62585. |
If a^2+b^2+c^2=14 , then ab+bc+ca is always greater than , or equal to 1) 02) 143) -14) -7 |
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Answer» (a+b+c)² = a²+b²+c²+ 2(ab+bc+ac) since (a+b+c)² ≥ 0 so, 0 ≤ 14 + 2(ab+bc+ac)=> (ab+bc+ac)≥ -14/2 ≥ -7 |
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| 62586. |
13 (a)Find the domain and range of the following function f(x) = VX2-9 |
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| 62587. |
3) Discuss the continuity of the following function:0 |
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| 62588. |
who isall poime noberg?Creditaimingsurveymost igeneraempovVisir |
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Answer» prime numbers other number which are divisible by only 1 and itself . examples are 2,3,5,7,11,13,17 , etc . prime numbers other number which are division ke by only 1 and itself.Examples are 2,3,5,7,11,13,17 etc. a number that is divisible only by itself and 1 (e.g. 2, 3, 5, 7, 11). Prime number other number which are divisible by one and itself example 2,3,5,7,110etc who divided by only itself and 11,2,3,5,7........ 1,2,3,5,7.......are correct answer 2,3,5,7,11,13,17,etc. a number having only two factor i.e 1 and itself only is called a prime number...eg. are 2,3,5,7,11,13,17,19....... and so on |
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| 62589. |
0, Shaheed can prepare one wooden chair in 3 days and Shaif can prepare the samair in 4 days. If they work together, in how many days will they prepare:one chair(i) 14 chairs of the same kind ? |
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| 62590. |
thesame0.Shaheed can prepare one wooden chair in 3 days and Shaif can prepareair in 4 days. If they work together, in how many days will they prepareiy one chair?14 chairs of the same kind? |
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| 62591. |
3. 72% of 25 students are interested in mathematics. How many are not interestedin mathematics? |
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Answer» If , students good in math = 72% Total no. of students= 25 then, percent are used to have 100. Therefor, 72×25÷100 = 18 Then , no of students good in math = 18 Total no. Of student = 25 Therefore, Students not good in maths = total no. of students - no. Of students good in maths = 25–18 = 7 The no. Of students not good in maths are 7. |
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| 62592. |
A Textbook of Mathematics for Class VIllExample Il: Thereare chaiz in the room ir2 gusts hure a chai, one chair remains vaceaneand if each guest sits on a chair one guest remains standing. What is the nuimber of guests?amani |
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Answer» The answer to this question is that there are '3' chairs and '4' guests in a room. Explanation:If two guests share one chair then only 2 chairs are needed for 4 guests and in this way one chair is vacant. But when each guest sits on separate chairs, only 3 guests get chairs while the 4th guest remain standing |
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| 62593. |
State two factors on which value of 'g' depends |
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Answer» Galileo found that the acceleration due to gravity (called ``g'') depends only on the mass of the gravitating object and the distance from it. It does not depend on the mass of the object being pulled. |
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| 62594. |
MathematicsTextbook for Class VIII |
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Answer» mathematics is very interesting subject please send right question This is a textbook of maths for class 8 this is a tent book of mathematics for class 8 |
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| 62595. |
The ratio of zinc and copper in all alloys is 7:9 if the weight of copper in the alloys is 11.7 kg find the weight of zinc in it |
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| 62596. |
\begin{array} { l } { \text { A box made of sheet metal costs } 26480 \text { at } 2120 \text { per square metre. If the } } \\ { \text { box is } 5 \mathrm { m } \text { long and } 3 \mathrm { m } \text { wide, find its height. } } \end{array} |
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| 62597. |
a person deposits 6400 rupees in a bank which gives 6% interest . How much interest would he get after one month. What would be the interest for one month at 3%? |
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| 62598. |
The cost of 20 books and 36 novels is 2400. What is thecost of 25 books and 45 novels? |
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Answer» 20 B + 36 N = 240025 B + 45 N = ? __________________ 2400× 24/20× 45/36 = 3600 ans |
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| 62599. |
Priya purchased 78 kg 650 g of wheatand she consumed 68 kg 150 g in onemonth. How much wheat is left at theend of month? |
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Answer» As she purchased 78kg 650g and used 68kg 150g. So minus the second one from 1st one and the ans will be 10kg 500g |
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| 62600. |
प्रश्न 3. 15, 18, 24, 27, 36 का लघुक्तप्न समापवर्त्य कया होगा? 3. 45.38, 24,.27, 36 का समापवर्त्य कया होगा ? |
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Answer» LCM 15= 3*518= 2*3*324= 2*2*2*327= 3*3*336= 2*2*3*3= 1080 |
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