question_answer 1) There is a certain relationship between each pair given on either side of : : . Identify the relationship and find the missing term from the options. PALE : LEAP : : POSH : ?
A) HSOP done
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B) POHS done
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C) SHOP done
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D) PSOH done
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question_answer 2) Find out how many such pairs of letters are there in the given word each of which has as many letters between them in the word as in the English alphabet. DECORATE
A) Two done
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B) Three done
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C) Four done
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D) None of these done
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question_answer 3) A, M, R, L and D are five cousins. A is twice as old as M, R is half the age of M. A is half the age of D and R is twice the age of L. Who is the eldest?
A) D done
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B) L done
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C) A done
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D) R done
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question_answer 4) Of the six members of a panel sitting in a row, A is to the left of E, but on the right of D. F is on the right of E, but is on the left of C, E is third to right of B. Which two members are sitting in the middle?
A) A and E done
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B) C and B done
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C) D and B done
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D) D and C done
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question_answer 5) A word and number arrangement machine when given an input line of words and numbers, rearranges them following a particular rule in each step. The following is an illustration of input and rearrangement.
Input : Goal 63 57 home five task 82 17 Step I : 82 goal 63 57 home five task 17 Step II : 82 five goal 63 57 home task 17 Step III : 82 five 63 goal 57 home task 17 Step IV : 82 five 63 goal 57 home 17 task
And Step IV is the last step for this input. As per rules followed in the above steps, find out the appropriate step for the given input. Input : host 15 32 page 43 over mother 92 Which of the following steps will be the last but one?
A) IV done
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B) V done
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C) VI done
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D) VII done
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question_answer 6) If in a code language, 'finger' is called 'toe', 'toe' is called 'foot', 'foot' is called 'thumb', 'thumb' is called 'ankle', 'ankle' is called 'palm' and 'palm' is called 'knee' then what will an illiterate man put to mark his signatures?
A) toe done
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B) knee done
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C) thumb done
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D) ankle done
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question_answer 7) Matrix of certain characters is given. These characters follow a certain trend, row wise or column-wise. Find out this trend and choose the missing character from the given options.
5 4 9 6 3 ? 7 2 4 65 20 45
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_answer 8) A, B and C are sisters. D is the brother of E and E is the daughter of B. How is A related to D?
A) Sister done
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B) Cousin done
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C) Niece done
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D) Aunt done
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question_answer 9) If the given interchanges are made in signs and numbers, which one of the four equations would be correct? Given interchanges: Signs + and - and numbers 4 and 8
A) \[4\div 812=16\] done
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B) \[48+12=0\] done
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C) \[8\div 412=24\] done
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D) \[84\div 12=8\] done
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question_answer 10) The two position of the same dice are given below. What number will be opposite to 3?
A) 2 done
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B) 4 done
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C) 5 done
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D) 6 done
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question_answer 11) Select a figure from the options in which Fig. (X) is exactly embedded as one of its part.
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_answer 12) There is a certain relationship between each pair given on either side of : : . Identify the relationship and find the missing term from the options. 5 : 36 : : 6 : ?
A) 48 done
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B) 49 done
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C) 50 done
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D) 56 done
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question_answer 13) Select a combination of letters/numbers from the options which most closely resembles the water-image of the given combination. GR98AP76ES
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_answer 14)
Six students A, B, C, D, E and F are sitting around a circle facing centre. A and B are from USA while the rest belong to UK. D and F are white while the others are black. A, C and D are wearing glasses while the others are not. Pair of students, who are not wearing glasses and are black is _____.
A) A and F done
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B) C and E done
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C) B and E done
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D) E and F done
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question_answer 15) Number of letters skipped in between adjacent letters in the series is in the order of 2, 5, 7, 10. Select the correct option.
A) CEGLT done
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B) FNKOT done
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C) QTZHS done
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D) SYBEP done
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question_answer 16) If a parallelepiped is formed by planes drawn through the points (5, 8, 10) and (3, 6, 8) parallel to the coordinate planes, then the length of the diagonal of the parallelepiped is
A) \[3\sqrt{2}\] done
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B) \[\sqrt{2}\] done
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C) \[\sqrt{3}\] done
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D) \[2\sqrt{3}\] done
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question_answer 17) If the sample space of an experiment is\[S=({{\omega }_{1}},{{\omega }_{2}},{{\omega }_{3}})\], then which of the following assignment of probabilities is valid?
A) \[P({{\omega }_{1}})=\frac{1}{2},P({{\omega }_{2}})=\frac{1}{3},P({{\omega }_{3}})=\frac{2}{3}\] done
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B) \[P({{\omega }_{1}})=\frac{1}{2},P({{\omega }_{2}})=\frac{1}{3},P({{\omega }_{3}})=\frac{1}{4}\] done
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C) \[P({{\omega }_{1}})=\frac{1}{2},P({{\omega }_{2}})=\frac{1}{3},P({{\omega }_{3}})=\frac{-1}{6}\] done
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D) \[P({{\omega }_{1}})=\frac{1}{2},P({{\omega }_{2}})=\frac{1}{3},P({{\omega }_{3}})=\frac{1}{6}\] done
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question_answer 18) The equation of a circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length 3a is
A) \[{{x}^{2}}+{{y}^{2}}=9{{a}^{2}}\] done
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B) \[{{x}^{2}}+{{y}^{2}}=16{{a}^{2}}\] done
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C) \[{{x}^{2}}+{{y}^{2}}=4{{a}^{2}}\] done
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D) \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\] done
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question_answer 19) Given five different green dyes, four different blue dyes and three different red dyes; the number of combinations of dyes which can be chosen taking at least one green and one blue dye is
A) 3600 done
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B) 3720 done
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C) 3800 done
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D) 3900 done
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question_answer 20) If in a triangle ABC, cos A cos B + sin A sin B sin C = 1, then the triangle is
A) Right angled done
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B) Equilateral done
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C) Isosceles done
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D) Right angled isosceles done
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question_answer 21) For a party 8 guests are invited by a husband and his wife. They sit in a row for dinner. The probability that the husband and his wife sit together is
A) \[\frac{2}{7}\] done
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B) \[\frac{2}{9}\] done
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C) \[\frac{1}{9}\] done
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D) \[\frac{4}{9}\] done
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question_answer 22) In an ellipse, the distance between its foci is 6 and minor axis is 8. Then its eccentricity is
A) \[\frac{1}{2}\] done
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B) \[\frac{4}{5}\] done
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C) \[\frac{1}{\sqrt{5}}\] done
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D) \[\frac{3}{5}\] done
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question_answer 23) If \[Sin\,x+si{{n}^{2}}x=1\], then \[co{{s}^{6}}\,x+co{{s}^{12}}x+3\,co{{s}^{10}}x+3cos\,8\text{ }x\]is equal to
A) \[1\] done
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B) \[{{\cos }^{3}}\times {{\sin }^{3}}\times \] done
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C) \[0\] done
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D) \[\infty \] done
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question_answer 24) If \[\frac{\tan \,3\theta -1}{\tan \,3\theta +1}=\sqrt{3}\], then the general value of \[\theta \] is
A) \[\frac{n\pi }{3}-\frac{\pi }{12}\] done
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B) \[n\pi +\frac{7\pi }{12}\] done
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C) \[\frac{n\pi }{3}-\frac{7\pi }{36}\] done
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D) \[n\pi +\frac{\pi }{12}\] done
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question_answer 25) Group of honest people in India is a
A) Null set done
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B) Finite set done
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C) Infinite set done
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D) Not a set done
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question_answer 26) If M and N are any two events. The probability, that exactly one of them occurs, is
A) \[P(M)+\text{ }P(N)P(M\cup N)\] done
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B) \[P(M)+\text{ }P(N)P(M\cap N)\] done
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C) \[P(M)+P(N)\] done
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D) \[P(M)+P(N)2P(M\cap N)\] done
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question_answer 27) If A and B are any two sets, then A - B is equal to
A) \[B-A\] done
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B) \[A\cup B\] done
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C) \[A\,-(A\cap B)\] done
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D) \[A\cap B\] done
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question_answer 28) There is a set of m parallel lines intersecting a set of another n parallel lines in a plane. The number of parallelograms formed, is
A) \[^{m-1}{{C}_{2}}.{}^{n-1}{{C}_{2}}\] done
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B) \[^{m}{{C}_{2}}.{}^{n}{{C}_{2}}\] done
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C) \[^{m-1}{{C}_{2}}.{}^{n}{{C}_{2}}\] done
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D) \[^{m}{{C}_{2}}.{}^{n-1}{{C}_{2}}\] done
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question_answer 29) If \[{{x}^{2}}+{{y}^{2}}=t-\frac{1}{t}\] and \[{{x}^{4}}+{{y}^{4}}={{t}^{2}}+\frac{1}{{{t}^{2}}},\] then the value of \[{{x}^{3}}y\frac{dy}{dx}=\]
A) 2 done
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B) 1 done
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C) 0 done
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D) None of these done
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question_answer 30) The unit's place digit in the number \[{{13}^{25}}+{{11}^{25}}\,~{{3}^{25}}\]is
A) 0 done
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B) 1 done
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C) 2 done
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D) 3 done
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question_answer 31) A die is thrown. Let A be the event that the number obtained is greater than 3. Let S be the event that the number obtained is less than 5. Then \[P(A\cup S)\]is
A) \[0\] done
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B) \[1\] done
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C) \[\frac{2}{5}\] done
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D) \[\frac{3}{5}\] done
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question_answer 32) The number of committees of 5 persons consisting at least one female member, that can be formed from 6 males and 4 females, is
A) 246 done
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B) 252 done
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C) 6 done
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D) None of these done
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question_answer 33) How many words can be formed from the letters of the word DOGMATIC, if all the vowels remain together?
A) 4140 done
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B) 4320 done
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C) 432 done
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D) 43 done
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question_answer 34) If \[{{x}^{2}}+x+1\]is a factor of\[a{{x}^{3}}+b{{x}^{2}}+cx+d\], then the real root of \[a{{x}^{3}}+b{{x}^{2}}+cx+d=0\]
A) \[-\frac{d}{a}\] done
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B) \[\frac{d}{a}\] done
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C) \[\frac{a}{d}\] done
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D) \[\frac{c}{d}\] done
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question_answer 35) If \[\alpha \text{,}\beta \] be two complex numbers, then \[{{\left| \alpha \right|}^{2}}+{{\left| \beta \right|}^{2}}\]is equal to
A) \[\frac{1}{2}({{\left| \alpha +\beta \right|}^{2}}-{{\left| \alpha -\beta \right|}^{2}})\] done
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B) \[\frac{1}{2}({{\left| \alpha +\beta \right|}^{2}}+{{\left| \alpha -\beta \right|}^{2}})\] done
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C) \[{{\left| \alpha +\beta \right|}^{2}}+{{\left| \alpha -\beta \right|}^{2}}\] done
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D) None of these done
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question_answer 36) 8 couples (husband and wife) attend a dance show in a popular TV channel. A lucky draw in which 4 persons picked up for a prize is held, then the probability that at least one couple will be selected is
A) \[\frac{8}{39}\] done
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B) \[\frac{8}{13}\] done
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C) \[\frac{12}{13}\] done
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D) None of these done
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question_answer 37) The owner of a local Jewellery store hired 3 watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave \[\frac{1}{2}\] of diamonds he had then, and 2 more besides. He escaped with one diamond. How many did he steal originally?
A) 40 done
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B) 36 done
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C) 25 done
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D) None of these done
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question_answer 38) A jogging park has two identical circular tracks touching each other and a rectangular track enclosing the two circles. The edges of the rectangles are tangential to the circles. Two friends, A and B, start jogging simultaneously from the point where one of the circular tracks touches the smaller side of the rectangular track. A jogs along the rectangular track, while B jogs along the two circular tracks in a figure of eight. Approximately, how much faster than A does B have to run, so that they take the same time to return to their starting point? \[(Take\,\pi =22/7)\]
A) 3.88% done
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B) 4.22% done
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C) 4% done
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D) 4.76% done
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question_answer 39) Amole was asked to calculate the arithmetic mean of ten positive integers each of which had two digits. By mistake, he interchanged the two digits, say a and b, in one of these ten integers. As a result, his answer for the arithmetic mean was 1.8 more than what it should have been. Then b - a equals
A) 1 done
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B) 2 done
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C) 3 done
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D) None of these done
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question_answer 40) Three Englishmen and three Frenchmen work for the same company. Each of them knows a secret not known to others. They need to exchange these secrets over person-to-person phone calls so that eventually each person knows all six secrets. None of the Frenchmen knows English and only one Englishman knows French. What is the minimum number of phone calls need for the above purpose?
A) 5 done
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B) 10 done
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C) 9 done
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D) 15 done
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question_answer 41) An intelligence agency forms a code of two distinct digits selected from 0, 1, 2,..., 9 such that the first digits of the code is non-zero. The code, handwritten on a slip, can however potentially create confusion, when read upside down-for example, the code 91 may appear as 16. How many codes are there for which no such confusion can arise?
A) 80 done
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B) 78 done
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C) 71 done
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D) 69 done
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question_answer 42) Answer the question based on the given information. Production pattern for number of units (in cubic feet) per day
Day 1 2 3 4 5 6 7 Number of units 150 180 120 250 160 120 150
For a truck that can carry 2000 cubic feet, hiring cost per day is Rs.1000. Storing cost per cubic feet is Rs.5 per day. If the storage cost is reduced to Rs.0.8 per cubic feet per day, then on which day/days, the truck should be hired?
A) 4th done
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B) 7th done
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C) 4th and 7th done
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D) None of these done
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question_answer 43) Boxes numbered 1, 2, 3, 4 and 5 are kept in a row, and they which are to be filled with either a red or a blue ball, such that no two adjacent boxes can be filled with blue balls. Then, how many different arrangements are possible, given that all balls of a given colour are exactly identical in all respects?
A) 8 done
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B) 10 done
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C) 15 done
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D) 22 done
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question_answer 44) The length of a ladder is exactly equal to the height of the wall it is leaning against. If lower end of the ladder is kept on a stool of height 3 m and the stool is kept 9 m away from the wall, the upper end of the ladder coincides with the top of the wall. Then the height of the wall is
A) 12m done
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B) 15m done
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C) 18m done
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D) 11m done
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question_answer 45) Three math?s classes: X, Y and Z, take an algebra test. The average score of class X is 83. The average score of class Y is 76. The average score of class Z is 85. The average score of class X and Y s 79 and average score of class V and Z is 81. What is the average score of classes X, Y and Z?
A) 81.5 done
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B) 80.5 done
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C) 83 done
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D) 78 done
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question_answer 46)
Consider the following statements, which of these is/are true? (i) Mode can be computed from histogram. (ii) Median is not independent of change of scale. (iii) Variance is independent of change of origin and scale.
A) Only (i) done
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B) Only (ii) done
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C) Both (i) and (ii) done
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D) (i), (ii) and (iii) done
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question_answer 47)
Statement 1: The roots of \[4{{x}^{2}}+6px+1=0\] are equal, then the value of p is\[\frac{1}{3}\]. Statement 2: The equation \[(a,\text{ }b,\text{ }c\in R)\]\[a{{x}^{2}}+bx+c=0\] has non-real roots if \[{{b}^{2}}-4ac<0\].
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_answer 48) Let A, B be two non-empty sets such that A is not a subset of S, then
A) A is always a subset of B' done
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B) B is always a subset of A done
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C) A and B' are always non-disjoint done
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D) A and B' are disjoint done
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question_answer 49) If \[A+C=2B\]then equal to \[\frac{\cos \,C-\cos A}{\sin \,A-\operatorname{sinC}}\]is equal to
A) cot B done
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B) cot 2B done
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C) tan 2B done
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D) tan B done
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question_answer 50) If f(2) = 4 and f(2) = 1. then \[\underset{x\to 2}{\mathop{\lim }}\,\frac{xf(2)-2f(x)}{x-2}=\]
A) - 2 done
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B) 1 done
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C) 2 done
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D) 3 done
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