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InterviewSolution
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.
| 13851. |
If the angles of elevation of the top of a tower from three collinear points A,B and C, on a line leading to the foot of thetower, are 30^(@), 45^(@) and 60^(@) respectively, then theratio, AB : BC, is |
| Answer» Answer :A | |
| 13852. |
A(-1,1),B(5,3) are opposite vertices of a square in the XY-plane. Find the equation of the other diagonal (not passing through A,B) of the square. |
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| 13853. |
Find the equation of the circle which has A (1, 3) and B (4,5) as opposite ends of a diameter. Find also the equation of the perpendicular diameter. |
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| 13855. |
Write the first five terms of each of the sequences whose n^(th) terms are: a_(n)= n(n+2) |
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| 13856. |
If sinx siny = 3 (cosy - cos x) then (sin3x)/(sin3y) = |
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Answer» 0 |
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| 13857. |
Let f(x)=cos(a_(1)+x)+1/2cos(a_(2)+x)+1/(2^(2))cos(a_(3)+x)+…….+1/(2^(n-1))cos(a_(n)+x) where a_(1),a_(2),………a_(n)inR. IF f(x_(1))=f(x_(2))=0 then |x_(2)-x_(1)| may equal to |
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Answer» `PI` |
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| 13858. |
How many words can be formed outof the letters of the word VOWEL. So that the vowels occupy the vowels place ? |
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| 13859. |
Evaluate Lt_(x to oo)(sqrt(x^(2) + x) - x) |
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| 13860. |
In the following, state whether A = B or not: A = { x : xis a multiple of 10}, B={ 10, 15, 20, 25, 30, . . . } |
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| 13861. |
Find the number of words with or without meaning which can be made using all the letters of the word AGAIN. If these words are written as in a dictionary, what will be the 50^(th) word? |
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| 13862. |
Let a=cos^(-1)cos20,b=cos^(-1)cos30,c=sin^(-1)sin(a+b) then The largest integer x for which sin^(-1)(sinx)ge|x-(a+b+c)| is |
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Answer» 1 |
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| 13863. |
Let bara =2bari+3barj-bark, barb=bari-2barj+3bark. bareis a vector perpendicular to bothbara, barb and bare.(2bari-barj+bark) = -6thenbare= |
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Answer» `3(-bari+barj+bark)` |
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| 13865. |
For the function f(x)=(x^(100))/(100)+(x^(99))/(99)+….+(x^(2))/(2)+x+1. Prove that f'(1)=100f'(0). |
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| 13866. |
Let T be the rth term of an A.P. whose first term is a and conmon difference is d. If for some positive integers m ,n,T_(n)= (1)/(m) , T_(m) = (1)/(n)then (a – d) equals |
| Answer» ANSWER :C | |
| 13867. |
Let a sample space be S = {omega-(1), omega_(2),....,omega_(6)}. Which of the following assingments of probabilities to each outcomes are valid? Outcomes omega_(1)" "omega_(2)" "omega_(3)" "omega_(4)" "omega_(5)" "omega_(6) (a) 1/6 1/6 1/6 1/6 1/6 1/6 (b) 1 0 0 0 0 0 (c) 1/8 2/3 1/3 1/3 - 1/4 - 1/3 (d) 1/12 1/12 1/6 1/6 1/6 3/2 (e) 0.6 0.6 0.6 0.6 0.6 0.6. |
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| 13868. |
Angle between the lines (x)/( a) + (y)/( b) and (x)/(a) - (y)/( b) = 1 is …..... |
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Answer» `TAN^(-1) ((2AB)/( a^(2) - b^(2) ))` |
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| 13869. |
A group consists of 3 men, 2 women and 4 children. If four persons are selected at| random, find the probability of selecting : (i) 1 man, 1 woman and 2 children (ii) Exactly 2 children (iii) 2 women |
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| 13870. |
Using Lagrange's mean value theorem for f(x) =cosx, we get that |cos a - cos b | le |
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Answer» `|a+B|` |
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| 13871. |
A linepasses through the point (2,2) and is perpendicular to the line 3x+ yIts y - Intercept is |
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Answer» `1/3` |
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| 13874. |
If 6a^2-3b^2-c^2+7ab-ac+4bc-0, then the family of lines ax+by+c=0 is concurrent at |
| Answer» ANSWER :A::B | |
| 13875. |
(i)P(AcapB)=P(A).P(B)if A and B are independent(ii)From numbers 1 to 100 probability of selecting a number which is divisible by 5 is (2)/(5).(iii)When two dice are tossed the probability of getting the sum as 13 is zero.(iv)P((A)/(B))=(P(AcupB))/(P(B))state which pair of the statement stated above is correct. |
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Answer» (i) and (II) are TRUE |
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| 13876. |
While combined both groups new standard deviation is |
| Answer» Answer :C | |
| 13878. |
Consider three planes 2x + py + 6z = 8,8x + 2y + qz = 5 and x + y + 3z =4 Three planes intersect at a point if |
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Answer» <P>`p = 2, Q ne 3` |
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| 13879. |
If f(x)=sqrt(3|x|-x-2) and g(x)=sin x then the domain of (fog)(x)= |
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Answer» `{2 m pi + pi/2} , m in z` |
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| 13880. |
Find the co-ordinates of the foot of the perpendicular from the point (-1,3)to the line 3x - 4y - 16 = 0 |
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| 13881. |
Show that the function f (x) = x ^(p) sin ((1)/(x)) x , ne 0, f (0) =0 is continuous but not differentiable atx=0 if 0 lt p le 1. |
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Answer» <P> |
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| 13882. |
Match the percentage error of the following and choose correct answer {:((I)"For a cylinder,percentage error in r and h are 3 and 5",(a)"percentage error in V is 8"),((II) T=2pi sqrt(l/g) "percentage error in T is 2 then ",(b) "percentage error in v is 11"),((III)"For sphere, percentage error in r is 1/3 then ",(c)"percentage error in volume is 1"),(" ",(d) "-1"),(" ",(e)"percentage error in g is -4"):} |
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Answer» a,d,c |
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| 13883. |
In a box containing 10 bulbs, 2 are defective. What is the probability that among 5 bulbs chosen at random, none is defective? |
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| 13884. |
Let A and B be two events such that P(A) gt 0. Statement-1 : If P(A) + P(B) gt 1, then P(B//A)ge 1-P(overline(B))//P(A) Statement-2 : If P(A//overline(B))ge P(A), " then " P(A) ge P(A//B). |
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Answer» Statement-1 is TRUE, Statement-2 is True, Statement-2 is a CORRECT EXPLANATION for Statement-1. |
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| 13885. |
A bag contains 7 white balls ,9 green balls and 10 yellow balls . A ball is drawn at random from the bag . What is the probability that it will beneither yellow nor green ? |
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| 13886. |
A bag contains 7 white balls ,9 green balls and 10 yellow balls . A ball is drawn at random from the bag . What is the probability that it will be not yellow |
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| 13887. |
A bag contains 7 white balls ,9 green balls and 10 yellow balls . A ball is drawn at random from the bag . What is the probability that it will begreen or white |
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| 13888. |
A bag contains 7 white balls ,9 green balls and 10 yellow balls . A ball is drawn at random from the bag . What is the probability that it will be green |
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| 13889. |
A bag contains 7 white balls ,9 green balls and 10 yellow balls . A ball is drawn at random from the bag . What is the probability that it will be white |
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| 13890. |
The trigonometric equation Sin^(-1)x=2Sin^(-1)a, has a solution for |
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Answer» `ABS(a) le 1/sqrt(2)` |
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| 13891. |
A person standing at the junction (crossing) of two straight paths represented by the equations2x - 3y + 4 = 0 " and " 3x + 4y - 5 = 0wants to reach the path whose equation is6x - 7y + 8 = 0in the least time. Find equation of the path that he should follow. |
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| 13892. |
Find the coordinates of the points which divide the join of the points (2-1, 3) and (4,3,1) in the ratio 3:4 internally. |
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| 13893. |
lim_(x to infty)((x^2+5x+3)/(x^2+x+3))^xis....... |
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Answer» `e^4` |
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| 13894. |
Reflection of x=3 in y-axis is |
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Answer» `x+3=0` |
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| 13895. |
How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated? |
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| 13896. |
Let f:R to R be a function such that |f(x)|le x^(2),"for all" x in R. then at x=0, f is |
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| 13897. |
((n),(1))+((n),(2))+((n),(3))+...........+((n),(n-1))=......... . |
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Answer» `2^n-2` |
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| 13898. |
If S_(1)= {2}, S_(2) = {3,6}, S_(3) = {4,8,16}, S_(4) = { 5,10, 20, 40}, …...... then the sum of numbers in the set S_(15) is |
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Answer» `5^(2^(15) )` |
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| 13899. |
If y= ae^(nx)+be^(-nx),then (d^2y)/(dx^2)-n^2yis equal to |
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Answer» `n^2 (AE^(NX)-be^(nx))` |
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| 13900. |
Solve 2 cos^(2) theta - sqrt(3) sin theta + 1 = 0. |
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