71. If a publication occurs every seven years and the sum of the years is 13524. Then find the first year if the no. of publication is 7.
Answer: 1911
Explanation:Here a= ? , d=7 , s=13524 , n=7
sum of A.P. = n/2(2a + (n-1)d)
so we have series a+(a+7)+(a+14).......=13524;
=> 13524=7/2(2*a+(7-1)7)
=> a=1911;
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72. 3 mangoes and 4 apples costs Rs 85. 5 apples and 6 peaches costs Rs. 122. 6 mangoes and 2 peaches cost Rs.114. what is the combined price of 1 apple, 1 peach and 1 mango?
Answer: 37
Explanation:Form the below eq. from the given info. in question.
3m+4a=85 -------- (i)
5a+6p=122 -------- (ii)
6m+2p=114 ----- (iii)
By solving eq. (i), (ii) and (iii)
m=15,a=10,p=12
so 1 apple, 1 peach and 1 mango price = 15+10+12 = Rs. 37
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73. What is the remainder of (16937^30)/31 ?
Answer: 1
Explanation:Here is no explanation for this answer
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74. In a cricket match,two batsman scores are 96,96 respectively.They require only 5 runs in 3 balls,can both the batsman complete their centuries?
Answer: yes
Explanation:Here is no explanation for this answer
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75. There are several bags of same weights. A bag is 6 kg plus three fourth of weight of an another bag . What is the weight of the bag?
Answer: 24
Explanation:Lets assume bags as a,b,c,d....
Given condition 1: A bag is 6 kg plus three fourth of weight of an another bag
so, a=6+(3/4)b ------ (1)
condition 2: weights are same
so, a=b=c=d
=> a=6+(3/4)a
=> a=24
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76. There is a square field of side 10 m. A man runs with different speed 10 kmph, 15 kmph, 20 kmph, 25 kmph on the four sides of the field. What is the average speed of man ?
Answer: 15.58
Explanation:Avg. Speed = (Total Distance /Total Time)
Total Distance = 10*4 = 40m 0r 0.04 km.
So, avg. Speed = 0.04/[(0.01/10)+(0.01/15) + (0.01/20) + (0.01/25)]
=15.58kmph
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77. LEADING" arrange it in such a way that atleast two vowels always together ?
Answer: 3600
Explanation:Total possible arrangement = 7! = 5040
Given condition 2 vowel should comes together : {_L_D_N_G_)
So, 3 vowels can be placed at 5 positions = 5p3 * 4! = 60*24 = 1440.
So required arrangements : (5040 - 1440) = 3600
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78. In a meeting between 2 countries each country has 12 delegates. All the delegates of one country shake hands with all delegates of other countries. Find the number of handshakes possible?
Answer: 144
Explanation:Total no. of handshake = 12c1*12c1 = 144.
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79. In a group of 5, Anooj said"one of us are lying", Pooja said"Exactly two are lying", Bitto said "Exactly three are lying", Billa said"Exactly four are lying", Chitra said,"Exactly five of us are lying". Which one said the Truth?
Answer: Billa
Explanation:billa is telling truth that exactly four are lying,as there is a group of 5 and the statement of no two people in group matches
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80. How many numbers are there b/w 10 and 99 such that the number exceeds it's sum of the digits by 18
Answer: 10
Explanation:let x be tenth digit & y be unit digit
so number is =10*x+y
given, 10x+y=x+y+18
or 9x=18
or x=2
so no. will be of form 2y
value of y can be 0,1,2,3,...,8,9
nubers are 20,21,22,23,...,28,29
total=10 numbers
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