1) If YWUSQ is 25 - 23 - 21 - 19 - 17 then MKIGF is what?
A) 13-11-10-7-6
wrong answer
B) 12-11-9-7-6
wrong answer
C) 13-11-9-7-6
right answer
D) 12-11-9-8-6
wrong answer
solution: C) 13-11-9-7-6
explanation :
if YWUSQ = 25-23-19-17
Then Y=25, W=23, U=21.....
Each alphabet resembles its corresponding integer value.
Therefore MKIGF is 13-11-9-7-6
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2)a bag contains 3 red, 5 yellow and 4 green balls. 3 balls are drawn randomly. what is the probability that the balls contain no yellow ball?
solution: 7/44
explanation:
total no of balls = 3 + 5 + 4= 12
n(S)=12C3=(12x11x10)/(3x2)=230
3 balls can be selected from 3(red) +4(green) =7 balls
n(E)=7C3=(7x6x5)/(3x2)=35
P(E)=n(E)/n(S)=35/220=7/44
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3) xyz+AB =CDEF and xyz-AB=BGA then find the values of X, Y, Z,G
solution: A) 9-4-5-6
explanation:
Immediately by analyzing Addition problem, we can say C = 1
because maximum possible carry by adding three digit number and two digit number is 1
( example max 2digit no is 99 & max 3 digit no is 999 adding them we get carry 1)
max 2digit no is 99 & max 3 digit no is 999 adding them we get sum 1098.so range of 4digit no is 1001 to 1098
Also X = 9 because three digit number less than 900 will not give a four digit number by adding with two digit number.( Example 900+99=999 is not 4 digit number so it should be more than 900 )
same line D = 0 because even if the three digit number is 999 and two digit number is 99 we will not get 1100
( example max 2digit no is 99 & max 3 digit no is 999 adding them we get 1098 hence 3rd place of 4 digit no is always going to be 0. hence D=0 )
by analysing subraction problem
we can say immediately B = 8 because no three digit number in 900s will go to 700 by subracting two digit number
(example 900-99=801 and 900-10=890 so third digit is always going to be 8)
Till now
C = 1, X = 9, D = 0, B = 8
So
'9'YZ + A'8' = '1''0'EF and
'9'YZ - A'8' = '8'GA.
Digits remaining 2,3,4,5,6,7
'1'Y - A = G and '1'Z - '8' = A
Simplest way is trial and error
Simple assumption is Z = 5 which gives A = 15 - 8 = 7
'9'Y'5' - 78 = '8'G'7' so 945 - 78 = 867
945 + 78 = 1023
D=0 ;C=1 ;E=2; F=3 ;Y=4 ;Z=5 ;G=6 ;A=7 ;B=8 ;X=9
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4)Complete the series : 3,6,13,26,33,66,____
solution: D) 73
explanation:
series start with 3
follow pattern
Multiply by 2 and Add 7
2nd no: 3*2=6
3rd no: 6+7=13
4th no: 13*2=26
5th no: 26+7=33
6th no: 33*2=66
so next no will be 66 +7
7th no: 66+7=73
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5)Complete the series : 364,361,19,16,4,1,____
solution: 1
explanation:
series start with 364
follow pattern :
subtract by 3 and sqrt
2nd no: 364-3=361
3rd no: Sqrt361=19
4th no: 19-3=16
5th no: Sqrt16=4
6th no: 4-3=1
so next no will be sqrt of 1
7th no: Sqrt1=1
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6) Uncle Reuben and aunt Cynthia came to town to shop.Reuben bought a suit and hat for $15.Cynthia paid as much as for her hat as Reuben did for his suit.Then she spent the rest of her money for her dress.On the way to home Cynthia called Reubens attention to the fact that his hat cost $1 more than her dress.Then uncle said if we had divided our hat money differently such that we bought a different hats mine costing 1 and 1/2 times cost of yours then we would have spent the equal amount of money.
(i)How much the hat would cost in that case?
(ii)What is the total amount spent?
A) hat=6$ & total=29$
wrong answer
B) hat=6.2$ & total=29$
wrong answer
C) hat=6.4$ & total=29$
right answer
D) hat=2$ & total=29$
wrong answer
solution: C) hat=6.4$ & total=29$
explanation:
lets say Uncle Reuben spent x & y on hat and suit resp.
Cynthia paid as much as for her hat as Reuben & Cynthia called Reuben's attention to the fact that his hat cost $1 more than her dress
From the condition we can say Cynthia spent y and x-1 rs on hat and dress resp.
Reuben bought a suit and hat for $15.
x+y=15
uncle said if we had divided our hat money differently such that we bought a different hats mine costing 1 and 1/2 times cost of yours then we would have spent the equal amount of money.
x+y=15
1.5x+(x-1)=15
2.5x-1=15
x=16/2.5=6.4$
hat would cost in that case is 6.4$
Total Money Reuben spent =x+y=15...(I)
Cynthia spent
=y+(x-1)
=(x+y)-1
=15-1 (From (I) x+y=15)
= 14
so together they spent 15+14=29 $
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7)There are 2 persons each having same amount of marbles in the beginning. after that 1 person gain 20 more from second person and he eventually lose two third of it during the play and the second person now have 4 times marble of what 1st person is having now. find out how much marble did each had in the beginning?
solution: D) 100
explanation:
Let two A & B initially have X marbles.
After 1st play
A gain 20 more from B
A=X+20
B=X-20
After 2nd play
A eventually lose two third of it during the play and the B now have 4 times marble of what A is having
after losing 2/3(X+20)
A=1/3(X+20)
B=(X-20)+2/3(X+20)
and the B now have 4 times marble of what A is having
B=4*A
(X-20)+2/3(X+20)=4*1/3(X+20)
X=100
Thus initially each have 100 marbles in the beginning.
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8)There is a 25 inch cube painted on all sides. This is cut down into of 5 inch cubes. What is the no of cubes which have no pointed sides.
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9)There are three boxes , In one box Two Red balls , In two box 2 blue balls In three box 1 Red & 1 blue. The labels on the boxes are not correct. Then you have to open one box and to find the colour of the balls in all boxes
A) open 1st box
wrong answer
B) open 2nd box
wrong answer
C) open 3rd box
right answer
D) none of these
wrong answer
solution: C) open 3rd box
explanation:
The 3rd box is labeled "blue and red" and you know this labelling is incorrect.
Thus the 3rd box has either all blue or all red balls in it.
Take a ball from this box. Suppose it is red,label it red. At this point you know;
next the other two left boxes have either blue or mixed balls.
and we know that the two left boxes are wrongly labelled as red and blue.
blue box cant have blue balls or red balls so it has mixed
balls.
finally the leftover box is having colored balls.
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10)Introducing a girl, a boy said, "she is the daughter of the daughter of the father of my uncle." How is the boy related to the girl?
solution: cousin
explanation:
let's start with end is "father of my uncle"= grandfather
next "daughter of the grand father"= aunt
next "daughter of aunt"= cousin
she is his cousin.
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