
question_answer1) There is a certain relationship between each pair given on either side of : : . Identify the relationship and find the missing term from the options. NOPQ : MLKJ : : HIJK : ?
A) DEFG done
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B) EFGH done
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C) FEDC done
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D) GFED done
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question_answer2) Study the given figure carefully and answer the question that follow. What is the sum of the numbers which belong to one figure only?
A) 5 done
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B) 16 done
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C) 21 done
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D) 23 done
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question_answer3) One day, Raj left home and cycled 20 km northwards, turned right and cycled 5 km and turned right and cycled 20 km and turned left and cycled 10 km. How many kilometers will he have to cycle to reach his home straight?
A) 10 km done
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B) 15 km done
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C) 20 km done
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D) 25 km done
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question_answer4) In a row of children, Beena is ninth from the left and Kashish is thirteenth from the right. They exchange their positions and then Beena becomes seventeenth from the left. Find the new position of Kashish from the right end of the row.
A) 20th done
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B) 21st done
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C) 27th done
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D) 30th done
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question_answer5)
Arrange the given words in the sequence in which they occur in the dictionary and then choose the correct sequence. 
1. Dissipate 
2. Dissuade 
3. Disseminate 
4. Distract 
5. Dissociate 
6. Dissect 
A) 3, 1, 5, 2, 4 done
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B) 1, 6, 3, 2, 4, 5 done
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C) 3, 6, 1, 2, 5, 4 done
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D) 4, 6, 3, 1, 5, 2 done
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question_answer6) In a certain language, 'moon shines brightly' is written as 'ka lo pul', 'temples are brightly lit' is written as 'kado ula an ka' and light comes from moon' as 'dopi kup lo nro'. What code words are written for 'moon' and 'brightly'?
A) ka, sul done
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B) ka, lo done
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C) lo, ula done
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D) kado, la done
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question_answer7) If L denotes +, M denotes\[\times \], p denotes + and Q denotes , then which of the following statements is true?
A) \[32\,P\,8\,L\,16\,Q\,4\,=\frac{3}{2}\] done
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B) \[6\,M\,18\,Q\,26\,L\,13\,P\,7\,=\frac{173}{13}\] done
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C) \[11\,M\,34\,L\,17\,Q\,8\,L\,3\,=\frac{38}{3}\] done
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D) \[9\,P\,9\,L\,9\,Q\,9\,M\,9=71\] done
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question_answer8) Pointing to a woman, a girl said, "She is the daughterinlaw of the grandmother of my father's only son." How is the lady related to the girl?
A) Sisterinlaw done
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B) Mother done
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C) Aunt done
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D) Motherinlaw done
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question_answer9) How many pairs of letters are there in the word SUBJUGATING in which the difference between them is same as in the English alphabet?
A) Nil done
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B) One done
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C) Two done
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D) Three done
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question_answer10) A set of figures carrying certain characters, is given. Assuming that the characters in each set follow a similar pattern, find the missing character.
A) 127 done
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B) 142 done
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C) 158 done
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D) 198 done
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question_answer11) Two positions of a dice are given below. How many dots are contained on the face opposite to that containing four dots?
A) 2 done
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B) 3 done
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C) 6 done
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D) 5 done
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question_answer12) A square transparent sheet with a pattern is given. Select a figure from the options as to how the pattern would appear when the transparent sheet is folded along the dotted line.
A) done
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B) done
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C) done
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D) done
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question_answer13) Select a figure from the options which completes the figure matrix.
A) done
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B) done
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C) done
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D) done
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question_answer14) There is a certain relationship between each pair given on either side of : : . Identify the relationship and find the missing term from the options. \[M\times N:13\times 14:\,\,:F\times R:\]?
A) \[7\times 19\] done
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B) \[5\times 17\] done
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C) \[14\times 15\] done
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D) \[6\times 18\] done
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question_answer15) Find out how will the key Fig. (X) look like after rotation?
A) done
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B) done
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C) done
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D) done
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question_answer16) Evaluate: \[\underset{x\to 0}{\mathop{\lim }}\,\frac{\sin \,2x+\sin \,6x}{\sin \,5x\,\,\sin \,3\,x}\]
A) 1 done
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B) 2 done
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C) 3 done
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D) 4 done
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question_answer17) The interior angles of a polygon are in A.P. The smallest angle is \[120{}^\circ \] and the common difference is\[5{}^\circ \]. Find the number of sides of the polygon.
A) 9 done
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B) 16 done
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C) Both [A] & [B] done
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D) None of these done
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question_answer18) If \[\frac{1+i}{1+{{2}^{2}}i}\times \frac{1+{{3}^{2}}}{1+{{4}^{2}}i}\times ..\times \frac{1+{{(2n1)}^{2}}i}{1+{{(2n)}^{2}}i}=\frac{a+ib}{C+id},\] then \[\frac{2}{17}\times \frac{82}{257}\times ...\times \frac{1+(2n1)}{1+{{(2n)}^{4}}}=\]
A) \[\frac{{{a}^{2}}+{{b}^{2}}}{{{c}^{2}}+{{d}^{2}}}\] done
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B) \[\frac{{{a}^{2}}}{{{c}^{2}}}+\frac{{{b}^{2}}}{{{d}^{2}}}\] done
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C) \[\frac{{{a}^{2}}}{{{c}^{2}}}+\frac{{{b}^{2}}}{{{d}^{2}}}\] done
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D) None of these done
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question_answer19) If \[f(x)\,=\frac{1}{\sqrt{x}}\left( 1\frac{1}{x} \right)\], then \[{{x}^{5/2}}[2f'(x)f(x)]+{{x}^{2}}3=\]
A) 0 done
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B) 2 done
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C) 4 done
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D) 10 done
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question_answer20) 20 cards are numbered from 1 to 20. One card is drawn at random. What is the probability that the number on the card will be divisible by 5 is
A) \[\frac{1}{5}\] done
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B) \[\frac{17}{20}\] done
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C) \[\frac{3}{17}\] done
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D) \[1\] done
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question_answer21) If \[cos\,\text{(}AB)=3/5\]and tan A tan B = 2, then which of the following is true?
A) \[sun\,(A+B)=\frac{1}{5}\] done
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B) \[sun\,(A+B)=\frac{1}{5}\] done
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C) \[Cos\,\,(AB)=\frac{1}{5}\] done
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D) \[Cos\,\,(A+B)=\frac{1}{5}\] done
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question_answer22) The product of cube roots of 1 is equal to
A)  1 done
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B) 0 done
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C)  2 done
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D) 4 done
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question_answer23) A focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is\[\frac{1}{2}\]. Then the length of the semimajor axis is
A) \[\frac{2}{3}\] done
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B) \[\frac{4}{3}\] done
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C) \[\frac{5}{3}\] done
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D) \[\frac{8}{3}\] done
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question_answer24) The number of different words that can be formed from the letters of the word 'PENCIL' so that no two vowels are together, is
A) 120 done
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B) 260 done
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C) 240 done
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D) 480 done
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question_answer25) If \[{{3}^{x}}{{3}^{x1}}=6\], then \[{{x}^{x}}\] is equal to
A) 2 done
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B) 4 done
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C) 9 done
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D) 1 done
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question_answer26) If \[z=x+\text{ }iy,\text{ }{{z}^{1/3}}=\text{ }aib\] and \[\frac{x}{a}\frac{y}{b}=k({{a}^{2}}{{b}^{2}})\], then value of k equals
A) 2 done
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B) 4 done
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C) 6 done
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D) 1 done
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question_answer27) If \[f(x)=\sqrt{ax\text{ }}+\frac{{{a}^{2}}}{\sqrt{ax}}\], then f? is equal to
A) 0 done
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B)  1 done
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C) 1 done
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D) a done
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question_answer28) The value of \[(A\cup B\cup C)\cap (A\cup {{B}^{c}}\cap {{C}^{c}}\text{)}\cap {{C}^{c}}\]is
A) \[B\cap {{\text{C}}^{c}}\] done
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B) \[{{B}^{c}}\cap {{\text{C}}^{c}}\] done
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C) \[B\cap \text{C}\] done
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D) \[A\cap B\cap C\] done
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question_answer29) The point diametrically opposite to the point P(1, 0) on the circle \[{{x}^{2}}+{{y}^{2}}+2x+4y3=0\]is
A) ( 3, 4) done
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B) ( 3,  4) done
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C) (3, 4) done
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D) (3,  4) done
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question_answer30) In a series of 2n observations, half of them equal a and remaining half equal  a. If the standard deviation of the observations is 2. Than \[\left a \right\] is equals
A) \[\frac{1}{n}\] done
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B) \[\sqrt{2}\] done
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C) \[2\] done
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D) \[\frac{\sqrt{2}}{n}\] done
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question_answer31) Which of the following is not a statement?
A) 20 is even integer done
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B) \[x+3=7;\times \in R\] done
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C) \[\sqrt{3}\] is an irrational number done
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D) May God bless you! done
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question_answer32) If \[P(n)\]is a statement \[(n~\in N)\]such that, if \[P(k)\]is true, \[P(k+1)\]is true for\[k\in N\], then \[P(n)\]is true
A) For all n done
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B) For all n > 1 done
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C) For all n > 2 done
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D) nothing can be said done
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question_answer33) If \[^{n}{{P}_{r}}=30240\] and\[^{n}{{C}_{r}}=252\], then the ordered pair \[(n,\,\,r)=\]
A) \[(12,6)\] done
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B) \[(10,5)\] done
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C) \[(9,4)\] done
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D) \[(16,7)\] done
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question_answer34) If the coefficient of \[(2r+1)th\] term and \[(r+2)th\] term in the expansion of \[{{(1+x)}^{43}}\] are equal, then r is equal to
A) 12 done
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B) 14 done
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C) 16 done
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D) 18 done
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question_answer35) If \[z=xiy\]and \[{{z}^{1/3}}=p+iq,\], then \[\frac{\frac{x}{p}+\frac{y}{q}}{{{p}^{2}}+{{q}^{2}}}\] is equal to
A)  2 done
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B) 1 done
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C) 2 done
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D) ? 1 done
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question_answer36) The probability that the birthdays of 4 different persons will fall in exactly two calendar months is
A) \[\frac{77}{1728}\] done
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B) \[\frac{17}{87}\] done
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C) \[\frac{11}{144}\] done
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D) None of these done
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question_answer37) A firm produces 50 units of a good for Rs. 320 and 80 units for Rs. 380. Supposing that the cost curve is a straight line, estimate the cost of producing 110 units.
A) Rs.330 done
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B) Rs.1665 done
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C) Rs.440 done
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D) Rs.365 done
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question_answer38) A car is being driven, in a straight line and at a uniform speed, towards the base of a vertical tower. The top of the tower is observed from the car and, in the process, it takes 10 minutes for the angle of elevation to change from \[45{}^\circ \] to\[60{}^\circ \]. After how much time will this car reach the base of the tower?
A) \[5\,(\sqrt{3}+1)\,mins\] done
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B) \[6\,(\sqrt{3}+2)\,mins\] done
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C) \[7\,(\sqrt{3}1)\,mins\] done
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D) \[8\,(\sqrt{3}2)\,mins\] done
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question_answer39) A king on his birthday decide to offer 100 coins of gold among his 4 sons and 3 wives. The denomination of each coin is Rs.1. He put all the 100 coins in 7 bags in such a way that by taking a proper combination of various bags any integral sum (i.e., 1, 2, 3, 4, ?... , 100) can be obtained and it is known that the only whole sum of any bag can be taken. If the king wanted to distribute the amount equally among them, then how many people would have received more amount (number of coins) than that of previously retaining two coins with himself.
A) 6 done
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B) 3 done
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C) 4 done
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D) None of these done
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question_answer40) A person is entitled to receive an annual payment which for each year is less by one tenth of what it was for the year before. If the first payment is Rs.100, then find the maximum possible payment which he can receive, however long he may live
A) Rs.900 done
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B) Rs.9999 done
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C) Rs.1000 done
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D) None of these done
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question_answer41) An examinee is required to answer six questions out of twelve questions which are divided into two groups each containing six questions and he is not permitted to answer more than four questions from any group. In how many ways can he answer
A) 750 done
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B) 850 done
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C) 580 done
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D) 570 done
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question_answer42) In a toys making factory, machines A, B and C manufacture respectively 25%, 35% and 40% of the total toys of their output 5%, 4% and 2% respectively are defective toys. A toy is drawn at random from the product. If the toy drawn is found to be defective, what is the probability that it is manufactured by the machine B?
A) \[\frac{17}{69}\] done
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B) \[\frac{28}{69}\] done
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C) \[\frac{35}{69}\] done
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D) None of these done
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question_answer43) In the club, all the members participate either in Tambola or the Fete. 420 participate in the Fete. 350 participate in the Tambola and 220 participate in both. How many members does the club have?
A) 410 done
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B) 550 done
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C) 440 done
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D) None of these done
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question_answer44) A B, C and D are four towns, any three of which are noncollinear. Then, the number of ways to construct three roads each Joining a pair of towns so that the roads do not form a triangle is
A) 7 done
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B) 8 done
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C) 9 done
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D) 24 done
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question_answer45) A journey between Mumbai and Pune (192 km apart) takes two hours less by a car than by a truck. Determine the average speed of the car if the average speed of the truck is 16 km/hr less than the car.
A) 48 km/hr done
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B) 64 km/hr done
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C) 16 km/hr done
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D) 24 km/hr done
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question_answer46)
Let \[F(x)=3+4x\] 
Statement 1 : \[f(f(f(X)))=63+64x\] 
Statement 2 : \[{{(f(x))}^{3}}={{\text{(3+4x)}}^{3}}\] 
A) Both Statement 1 and Statement 2 are true and Statement 2 is correct explanation of Statement 1. done
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B) Both Statement 1 and Statement 2 are true but Statement 2 is not correct explanation of Statement 1. done
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C) Statement 1 is true, Statement 2 is false. done
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D) Statement 1 is false, Statement 2 is true. done
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question_answer47) If \[\underset{x\to 0}{\mathop{\lim }}\,\frac{\log \,(3+x)log\,(3x)}{x}=k\]then the value of k is
A) \[1\] done
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B) \[\frac{1}{3}\] done
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C) \[\frac{2}{3}\] done
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D) \[\frac{2}{3}\] done
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question_answer48) If \[f\,(x)\,=\frac{x}{x1}\], then \[\underbrace{(fofof\,...of)(x)}_{19\,times}\]is equal to
A) \[\frac{x}{x1}\] done
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B) \[{{\left( \frac{x}{x1} \right)}^{19}}\] done
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C) \[\frac{19x}{x1}\] done
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D) \[x\] done
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question_answer49)
9 balls are to be placed in 9 boxes and 5 of the balls cannot fit into 3 small boxes. 
The number of ways of arranging one ball in each of the boxes is 
A) 18720 done
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B) 18270 done
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C) 17280 done
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D) 12780 done
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question_answer50) Let \[z,\omega \] be complex numbers such that \[\bar{z}+i\bar{\omega }=0\] and arg \[(z\omega )=\pi ,\] then arg z equals
A) \[\frac{3\pi }{4}\] done
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B) \[\frac{5\pi }{4}\] done
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C) \[\frac{\pi }{4}\] done
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D) \[\frac{\pi }{2}\] done
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