## MISCELLANEOUS MCQ SET-20

Q.1 The following figure shows the displacement time graph of a body in motion. The ratio of the speed in first second & that in next two seconds is: A) 1 : 2B) 1 : 3C) 3 : 1D) 2 :1Ans. DRequired ratio : Speed in first second / Speed in next two seconds= Displacement in first second/t / Displacement in next two seconds/2t30/1 / 30(3-1) = 30/15 = 2 : 1 Q. 2 Seven players A,B,C,D,E,F & G are to be seated such that :1. B must always occupy second position2. F must always occupy sixth position3. D & E must be seated adjacent to each positionIn how many different ways can they be seated ?A) 8B) 12C) 24D) None of the aboveAns. C Position : 1 2 3 4 5 6 7B F As D & E are seated to each other, they can only occupy at position 3,4 & 5 in 2 * 2 = 4 waysRemaining three A,C & G can occupy in 3! = 6 waysTotal no. of required ways = 4 * 6 = 24 Q. 3 When 60% of a no. A is added to another no. B, B becomes 175 % of its previous value. Which one of the following is correct ?A) A > BB) B > AC) Either of the above can be true depending upon the values of A & bD) None of the above three can be predicted without more dataAns. A 60/ 100 * A+B = 175/100 * B3/5 A = 7/4 B-B3/5A = 3/4BA/B = 5/4 Q.4 A cube of length 1 cm is taken out from a cube of length 8 cm. What is the weight of the remining portion ?A) 7/8 of the weight of the original cubeB) 8/9 of the weight of the original cubeC) 63/64 of the weight of the original cubeD) 511/512 of the weight of the original cubeAns. D Volume of remaining portion = 83 – 13512-1 = 511Since Volume is proportional to weight Then, weight of remaining portion = 511/ 512 of the weight of the original cube Q.5 If Saturday falls four days after today which is 6th January, on which day did the first of December of the previous year fall ?A) TuesdayB) FridayC) SundayD) MondayAns. D Today = 6 JanuaryThe date after 4 days = 10 January = SaturdayThe date before 7 days = 3 January = SaturdayLast years, the date of 31 December = Saturday – 3 days = WednesdayTherefore, the day on December 1 of last year = Wednesday – 2 days = Monday Q.6 Five friends F1, F2, F3, F4, F5 have Rs.100 each. F1 gives Rs. 12 to F3 who also borrows Rs.10 from F2 who in turn takes Rs.15 from F5 while F5 gives Rs.18 to F4 & Rs.12 to F1. F1 borrows Rs.20 from F4. What is the amount of money left with F2 ?A) Rs. 120B) Rs. 122C) Rs. 105D) Rs. 97Ans. C F1 F2 F3 F4 F5100 100 100 100 100-12 -10 +12 +18 -15+12 +15 +10 -20 -18+20 -12105 Q.7 If 2nd & 4th Saturdays & all the Sundays are taken as holidays for an office, what would be the minimum number of possible working days of any month of any year ?A) 20B) 21C) 22D) 23Ans. C Let February of 28 days& 1st day is SundayNumber of Sunday in that month = 4Number of Staurday = 4No. of holiday = 4+2 = 6 daysNo. of working days = 28-6 = 22 days Q.8 The average of five consecutive nos. is x. If the next two numbers are also included, how shall the average vary ?A) It shall increase by 1B) It shall remain the sameC) It shall increase by 1.4D) It shall increase by 2Ans. A Let 5 consecutive nos. are (x-2), (x-1), x, (x+1), (x+2), (x+3), (x+4)Their average will be (x+1)Hence , average vary by, x+1-x = 1

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