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211 / 652
On this island, there are three types of people. Knights, who always tell the truth, knaves, who always lie, and spies, who can do either. In these puzzles, you meet three people, one knight, one knave and one spy. The challenge is to determine who is who.
A says "I am a Knight"
B says "A is a Knight"
C says "If you asked me, I would say that A is the spy"
Who is A?
ASpy.
BKnave.
CKnight.
Dcannot be determined
Answer: Option D
Explanation:Here is no explanation for this answer
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212 / 652
A man can hit a target once in 3 shots.If he fires 3 shots in succession, find the probability that he will hit his target.
A2/9
B19/27
C5/9
D1/27
Answer: Option B
Explanation:Probability of hitting the target = (1 - probability of not hitting the target)
if man hits once every 3 balls,
probability of hitting = 1/3 => probability of not hitting=2/3
So, probability of not hitting the target all three times = (2/3)* (2/3)* (2/3) = 8/27
=> Probability of hitting target = (1 - 8/27) = 19/27
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213 / 652
In the given below figure, If the sum of the values along each side is equal.
Find the possible values a, b, c, d, e, and f.
A9, 7, 20, 16, 6, 38
B4, 9, 10, 13, 16, 38
C4, 7, 20, 13, 6, 38
D4, 7, 20, 16, 6, 33
Answer: Option C
Explanation:42 + a + b = 47 + e
=> a + b = 5 + e ----- (1)
by eq. (1) option a, b ruled out.
47 + e = 15 + f
=> 32 + e = f ------- (2)
Option d will be ruled out
So Option will fit in eq. (1) & (2)
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214 / 652
4 men throw a die each simultaneously. Find the probability that at least 2 people get the same number
A5/18
B13/18
C1/36
D1/2
Answer: Option B
Explanation:1-(probability of not getting same no.)=1-((6*5*4*3)/(6*6*6*6))
=(1-5/18) = 13/18
1-(probability of not getting same no.)=1-((6*5*4*3)/(6*6*6*6))
=(1-5/18) = 13/18
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215 / 652
17 X 8 m rectangular ground is surrounded by 1.5 m width path. Depth of the path is 12 cm. Gravel is filled and find the quantity of gravel required.
A5.5 m^3
B7.5 m^3
C6.5 m^3
D10.08 m^3
Answer: Option D
Explanation:Area of the rectangular ground = 17*8=136 m^2
Area of the big rectangle considering the path width = (17+2*1.5)*(8+2*1.5) = 220 m^2
Area of the path = 220−136 = 84 m^2
Gravel required = 84 m^2 * 12/100 m = 10.08 m^3
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216 / 652
There are 120 male and 100 female in a society. Out of 25% male and 20% female are rural. 20% of male and 25% of female rural people passed in the exam. What % of rural students have passed the exam?
A23%
B22%
C21%
DNone of these
Answer: Option B
Explanation:Given 120 male and 100 female society.
Rural male = 25*120/100= 30, Rural female = 20*100/100 = 20.
Passed students from rural:
male = 20*30/100 = 6, female = 25*20/100 = 5
Required percentage = 11/50*100=22%
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217 / 652
1/7 th of the tank contains fuel. If 22 litres of fuel is poured into the tank the indicator rests at 1/5th mark. What is the quantity of the tank?
A385
B358
C375
DNone of these
Answer: Option A
Explanation:Lets assume the quantity of tank = x
x/7 + 22 = x/5
=> x/5-x/7 = 22
=> 2x/35 = 22 => x = 385
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218 / 652
What is the remainder of (32^31^301) when it is divided by 9?
A3
B5
C2
D1
Answer: Option B
Explanation:32^31^301
when 31 divided by 9 gives remainder 5
5 5^2 5^3 all gives the same unit digit 5
so 31^32 gives unit digit 5
same rule applicable to 31^301
when 31 divided by 9 gives remainder 4
4 4^2 4^3 4^4 =4 6 4 6 unit place repeats for every 2 times i,e for even power its uint place is 6 and for odd its 4
as 301 is odd its unit place is 4
so 31^32^301=31^4=5^4=5
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219 / 652
How many positive integers less than 500 can be formed using the numbers 1,2,3,and 5 for digits, each digit being used only once.
A52
B68
C66
D34
Answer: Option D
Explanation:Single digit number = 4
Double digit number = 4*3 = 12
Three digit numbers = 3*3*2= 18
Total = 34.
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220 / 652
In how many possible ways can write 3240 as a product of 3 positive integers a,b and c.
A450
B420
C350
D320
Answer: Option A
Explanation:3240 = 23*34*51 = a*b*c
We have to distribute three 2's to a, b, c in 3+3−1C3−1 = 5C2 = 10 ways
We have to distribute four 3's to a, b, c in 3+4−1C3−1 = 6C2 = 15 ways
We have to distribute one 5 to a, b, c in 3 ways.
Total ways = 10*15*3 = 450 ways
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