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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.
| 6202. |
If a, b, and c are in A.P then (a + 2b -c) . ( 2b +c-a) . (c+a-b) = ............. . |
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| 6203. |
Which term of the progression 19, 18(1)/(5), 17 (2)/(5) ,..... is the first negative term? |
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| 6204. |
A student was asked to prove a statement P(n) by induction. He proved that P (k+1) is true whenever P(k) is true for all k gt 5inN and also that P(n) is true. On the basis of this he could conclude that P(n) is true : |
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Answer» for all `ninN` |
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| 6205. |
Find the point of concurrence of the set of lines (2+5k)x-3(1+2k)y+(2-k)=0 |
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| 6206. |
If A={1,2,3,5},B={4,6,9} and R={(a,b)| a in A,b in B, a-b is odd}, then a. Write R in roster form. b. Represent R by an arrow diagram. |
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| 6207. |
When tested , the lives (in hours) of 5 bulbs were noted as follows :1357,1090,1666,1494,1623 The mean deviations (in hours) from their mean is…….. |
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Answer» 178 |
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| 6208. |
If A(0,4,1), B(a,b,c), C(4,5,0), D(2,6,2) are the consecutive vertices of a square, then the distance BD is |
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Answer» `SQRT((a+2)^(2)+(b+6)^(2)+(c+2)^(2))` |
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| 6209. |
State whether the ''Or'' used in the following statements is ''exclusive ''or'' inclusive. Give reasons for your answer. Sun rises or Moon sets. |
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| 6210. |
If 4bar(i)+7bar(j)+8bar(k), 2bar(i)+3bar(j)+4bar(k), 2bar(i)+5bar(j)+7bar(k) are the P.V.'s of the vertices A, B, C of a DeltaABC. The P.V. of the point where the bisector of angleA meets BC is |
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Answer» `2/3(-6bar(i)-8BAR(J)-6bar(K))` |
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| 6211. |
State whether the ''Or'' used in the following statements is ''exclusive ''or'' inclusive. Give reasons for your answer. To apply for a driving licence, you should have a ration card or a passport. |
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| 6212. |
State whether the ''Or'' used in the following statements is ''exclusive ''or'' inclusive. Give reasons for your answer. All integers are positive or negative. |
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| 6213. |
At a certain point the angle of elevation of a tower is found to be cot^(-1)(3/5). On walking 32 metres directly towards the tower its angle of elevation is cot^(-1)(2/5). The height of the tower in metres is |
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Answer» 32 |
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| 6214. |
Find the values of theta lying between 0^(@) and 360^(@) when tan theta=-2.0145 |
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| 6215. |
Write the component statements of the following compound statementes and check whether the compound statement is true or false: (i) the square of an integer is positive or negative. (ii) to enter into a public liberary children need an identity card form the school or a letter form the school authorities. (iii)sqrt(3) is a rational or an irrational number. |
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Answer» Solution :(i) component statements: p: the square of an integer is positive. q: the square of an integer is negative. compound statements is TRUE.(II) component statements. p: to enter into a public liberary children need an identity card from the SCHOOL. q: to enter into a public liberary children need a letter from the school authorities. compound statement is true. (iii) component statements: p : `SQRT(3)` is a rational number . q: `sqrt(3)` is a irrational number. compound statement is true. |
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| 6216. |
Find the union of each of the following pairs of sets. A= {2, 4, 6, 8}, B= {1, 3, 5} |
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| 6217. |
If 'x' is an acute angle and y=log(tan((pi)/(4)+(x)/(2))) then cosx.coshy = |
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Answer» 0 |
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| 6218. |
a sec theta + b tan theta = 1, sec theta - b tan theta = 5 rArr a^(2)(b^(2) + 4) = |
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Answer» `3B^(2)` |
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| 6219. |
Resolve the following rational expression into partial fractions. (1)/(x^(4) - 1) |
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| 6220. |
The locus represented by the equation (x-y+c)^2+(x+y-c)^2=0 is |
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Answer» A LINE PARALLEL to x-axis |
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| 6221. |
A line perpendicular to the line 5x-y=0 forms a triangle with the coordinate axes. If the area of the triangle is5 aq. units , then its equation is ........ |
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Answer» `x+5ypm5sqrt2=0` |
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| 6222. |
If sin alpha andcos alpha are the rootsof ax^(2) + bx + c = 0 , then find the relationsatisfied by a, b and c . |
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| 6224. |
If in DeltaABC, r_(3)=r_(2)+ r_(2), then angleA+angleB= |
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Answer» `120^(@)` |
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| 6225. |
If r= 2, R = 6 for a right angled triangle then its area is |
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Answer» 14 |
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| 6226. |
Which of the following is true about point of extremum x=a of function y=f(x) |
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Answer» At x=a , FUNCTION y=f(x) may be discontinuous |
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| 6227. |
If |{:(cos(A+B),-sin(A+B),cos2B),(sinA,cosA,sinB),(-cosA,sinA,cosB):}|=0 then B = |
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Answer» `(2n+1)PI/2` |
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| 6228. |
How many elements are event that coin is tossed n time. |
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| 6229. |
Shamshad Ali buys a scootor for Rs 22000. He pays Rs 4000 cash and agrees to pay the balance in annual instalment of Rs 1000 plus 10% interest on the unpaid amount. How much will the scootor cost him? |
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| 6230. |
Aray of light passing through the point (1, 2) reflects on the x-axis at point and the reflected ray passes through the point (5,3). Find the coordinates of A. |
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| 6231. |
Find the derivative of the function from first principle sec 3x |
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| 6232. |
If alpha, beta are acute angles and cos 2 alpha=(3 cos 2 beta-1)/(3-cos 2 beta) then |
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Answer» `tan ALPHA=2 tan BETA` |
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| 6233. |
The sum of the height and diameter of the base of a right circular cylinder is given as 3 units. Find thed radius of the base and the height of the cylinder so that the volume is maximum. |
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| 6234. |
Solve sin x + sin 2x + sin 3 x =cos x + cos 2x + cos 3x |
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| 6235. |
Write the first five terms of each of the sequences whose n^(th) terms are: a_(n)= (n(n^(2) + 5))/(4) |
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| 6236. |
Compute (i) 102^(4) (ii) 99^(4)(iii)9^(7) |
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Answer» (II) `=96059601` (III)`=4782969` |
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| 6237. |
If f(x)=sin x + cos x, g(x)=x^(2)-1, then g(f(x)) is invertible in the domain |
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Answer» `[ 0 , PI/2]` |
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| 6238. |
Show that the points representing the complex numbers (3+ 3i), (-3- 3i) and (-3 sqrt3 + 3 sqrt3i) on the Argand plane are the vertices of an equilateral triangle |
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| 6239. |
For arithmetic sequence a_(1),a_(2),a_3 ........ If a_(1)+a_(5)+a_(10)+a_(15)+a_(20)+a_(24)= 225 then s_(24) = ............ |
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| 6240. |
If f be a continuous function on [0,1], differentiable in (0,1) such that f(1) = 0 , then there exists some c in (0,1) such that |
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Answer» `CF'(C ) - F (c ) = 0 ` |
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| 6241. |
Find the amplitude of the complex number "sin" (6pi)/(5) + i (1- "cos" (6pi)/(5)) |
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| 6242. |
Write each sentence in the " If ................Then " form. A set with no elements is called the empty. Set. |
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| 6243. |
Range of the function f(x)= (x^(2) + x + 2)/(x^(2) + x + 1) is…… |
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Answer» [1,3] |
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| 6244. |
Find the sum of all numbers between 250 and 1000. Which are divisible by 3 |
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| 6245. |
sec h^(-1) ((1)/(2)) - "cosec h"^(-1) ((3)/(4)) = |
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Answer» `log_(E)((1+sqrt(3))/(3))` |
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| 6246. |
Which of the following statements is always true ? |
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Answer» If f(x) is increasing , then `f^-1(x)` is DECREASING. |
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| 6247. |
x+y=4 is the perpendicular bisector of bar(AB) where A=(3,-3) Find B. |
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| 6248. |
If f(x)=log((1+x)/(1-x)), then: f((a+b)/(1+ab))= |
| Answer» Answer :B | |
| 6249. |
Find all other trigonometric ratios:sec x = (13)/(5), x lies in fourth quadrant. |
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| 6250. |
If bara= bari-2barj-3bark, barb= 2bari+barj-bark, barc= bari+3barj-2bark, find bara xx (barb xx barc). |
| Answer» Answer :C | |