RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If x and y are positive integers such that x/y = 2.18, which of the following numbers could be y?
A.50
B.5
C.150
D.2
Answer: A.50
Explanation: With the given information, we are trying to find the value of y.
To achieve this we must convert the given decimal to a fraction and reduce it to it's lowest integer form.
Take the decimal x/y = 2.18 and because it's in the hundreds decimal place, put the given value (x/y = 2.18/1) and multiply it by 100.
Take the resulting fraction (x/y = 218/100) and reduce it to it's lowest form.
Both of the numbers are divisible by 2.
The result is x/y = 109/50.
Thus y = 50.
The correct answer is A.
Question: All of the citizens of a country have a four-character or five-character national identification code that is created using the 26 letters of the alphabet and the 10 digits from 0 to 9. What is the maximum number of citizens who can be designated with these codes?
A.37(36^4)
B.36^9
C.35(36^5)
D.37(36^5)
Answer: A.37(36^4)
Explanation: The number of possible 4-digit codes is 36^4.
The number of possible 5-digit codes is 36^5.
The total sum is 36^4 + 36^5 = 36^4(1+36) = 37(36^4)
The answer is A.
Question: When 1/20% of 4,000 is subtracted from 1/20 of 4,000, the difference is
A.50
B.198
C.380
D.398
Answer: B.198
Explanation: 1/20 % of 4000 = 2
1/20 of 4000 = 200
200-2 = 198
Ans:B
Question: Twelve telegenic contestants with a variety of personality disorders are to be divided into two “tribes” of five members each, tribe A and tribe B, for a competition. How many distinct groupings of two tribes are possible?
A.120
B.126
C.792
D.1200
Answer: C.792
Explanation: My ans is 12C5 = 792
C
Question: The average age of a class of 40 students is 15 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
A.30 Years
B.56 Years
C.32 Years
D.34 Years
Answer: B.56 Years
Explanation: Total age of students is 40X15 = 600 Years
Total age inclusive of teacher = 41X (15+1) = 656
So, Teacher's age is 656-600 = 56 Yrs
There is a shortcut for these type of problems
Teacher's age is 15+(41X1) = 56 Years
B
Question: Roberto has three children: two girls and a boy. All were born on the same date in different years. The sum of the ages of the two girls today is smaller than the age of the boy today, but a year from now the sum of the ages of the girls will equal the age of the boy. Five years from today, the difference between the age of the boy and the combined ages of the girls will be
A.1
B.2
C.3
D.–4
Answer: D.–4
Explanation: Approach I (Plugin's)
Girl I ............... Girl II ................ Boy
1 ....................... 1 ........................ 3 (Assume the current ages)
1 + 1 < 3 .......... (Satisfies the given condition)
1 Year later there ages are
2 ....................... 2 ......................... 4
2 + 2 = 4 ............ (Satisfies the given condition)
After 5 years there ages are
6 ....................... 6 ............................ 8
Difference = 8 - (6+6) = 8 - 12 = -4
Answer = D
Question: Cars emerging from a motorway arrive at a junction that splits the road into two separate lanes. The number of cars per hour that continue in either lane is constant. If 490 cars per hour were diverted from the left lane to the right lane, the number of cars entering the right lane per hour would be twice as big as the number of cars entering the left lane per hour. Alternatively, if 490 cars per hour were diverted from the right lane to the left lane, the number of cars entering the left lane per hour would be four times as great as the number of cars entering the right lane per hour. How many cars enter the left lane per hour?
A.1190
B.1200
C.1400
D.700
Answer: A.1190
Explanation: as per question 490 cars diverted from left lane to right lane. Thus we get equation R+490=2(L-490)
as per question 490 cars diverted from right lane to left lane .thus we get equation L+490=4(R-490)
by solving two equation i.e R +490 =2L-980 OR. R =2L -1470 AND L+490= 4R -1960 OR L= 4R -2450
BY SOLVING WE GET L= 4( 2L -1470) -2450 OR L= 8L -5880-2450 OR 8330 =7L THUS L =1190
A
Question: A certain rectangular window is three times as long as it is wide. If its perimeter is 32 feet, what are its dimensions in terms of length by width?
A.12 by 2
B.11 by 3
C.10.5 by 3.5
D.12 by 4
Answer: D.12 by 4
Explanation: 2x+2y=32
x+y=16
x+3x=16
4x=16
x=4
Answer D
Question: For what value of “k” will the equation (2kx2 + 5kx+2)=0 have equal roots?
A.2/7
B.9/4
C.16/25
D.7/1
Answer: C.16/25
Explanation: For a 2nd degree equation ax2+bx_c=0 has equal roots the condition is b2-4ac=0
in the given equation
(5k)^2-4*2k*2=0
by solving this equation
we get k=0, k=16/25
ANSWER:C
Question: From (1, 2, 3, 4, 5, 6), one number is picked out and replaced and one number is picked out again. If the sum of the 2 numbers is 5, what is the probability that the 2 numbers included the number 3?
A.1/5
B.1/2
C.3/10
D.3/5
Answer: B.1/2
Explanation: We know that the sum of two numbers picked was 8. So, there could be the following cases:
(1, 4);
(4, 1);
(2, 3);
(3, 2);
Total of 4 cases out of which 2 have 3, thus the probability is 2/4=1/2.
Ans B
Question: Two trains from opposite directions are to cross each other. The length of two trains are 100 meter and 200 meter respectively. The speed of first train is 100 km/hour and second train 200 km/hour. In how much time will they cross each other?
A.2 second
B.3.6 second
C.5 second
D.5.5 second
Answer: B.3.6 second
Explanation: The crossing moment starts when the head of first compartment of two trains meet or touch. The process of crossing each other continues till 100 + 200 meter = 300 meter is covered. The speed will be 100km/hour + 200 km/hour = 300 km/hour. 300x1000 meter covered in 3600 seconds. So, 300 meter covered in 3.6 seconds.
Answer: B.
Question: Which expression is the greatest
A.3252/3257
B.3456/3461
C.3593/3598
D.3346/3351
Answer: C.3593/3598
Explanation: Options can be re-written as (x-5)x => 1-(5/x)
A) 1- (5/3257)
B) 1- (5/3461)
C) 1- (5/3598)
D) 1- (5/3351)
E) 1- (5/3458)
To get the largest among these second half should be the least and so denominator to be largest. Hence 'C'.
Question: The sequence {A(n)} is defined by A(1) = 2 and A(n+1)=A(n)+2*n what is the value of A(100)?
A.9902
B.9900
C.10100
D.9904
Answer: A.9902
Explanation: n=1, A(1)=2
n=2, A(2)=A(1+1)=A(1)+2*1=2+2=4
n=3, A(3)=A(2+1)=A(2)+2*2=4+4=8
n=4, A(4)=A(3+1)=A(3)+2*3=8+6=14
if n=1, A(1)=2
if n=2, A(2)=4, i.e 2*2-0=4
if n=3, A(3)=8, i.e 3*3-1=8
if n=4, A(4)=14 i.e 4*4-2=14
..........
if n=100, A(100)=100*100-98=10000-98=9902
ANSWER:A
Question: Rodrick mixes a martini that has a volume of 'n' ounces having 30% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?
A.n/6
B.n/3
C.n/5
D.5n/6
Answer: C.n/5
Explanation: total V G
1 ounce 0.3 0.6
n ounce 0.3n 0.6n -------------initial expression
lets say g ounces of gin is added to this mixture
n+g 0.3n 0.6n+g --------------final expression
given that after adding g ounces of gin , V should become 25% of the total volume.
=>Volume of V/total volume = 25/100
=> 0.3n /n+g = 1/4
=> 1.2n = n+g
=> g = n/5
Answer is C.
Note that after we add pure Gin, the volume of Vermouth will remain the same. Based on this set the equation:
0.3n=0.25(n+g) --> g=n/5
Answer: C.
Question: Look at this series: 15, 15, 27, 27, 39, 39,? ... What number should fill the blank?
A.51
B.39
C.23
D.15
Answer: A.51
Explanation: Explanation: In this simple addition with repetition series, each number in the series repeats itself, and then increases by 12 to arrive at the next number.
Answer: Option A
Question: The value of x + x(x^x) when x = 6 is
A.279942
B.245872
C.434323
D.278879
Answer: A.279942
Explanation: Solution:
x + x(x^x)
Put the value of x = 6 in the above expression we get,
6 + 6(6^6)
= 6 + 6(6 x 6 x 6 x 6 x 6 x 6)
= 6 + 6(46656)
= 6 + 279936
= 279942
Answer: (A)
Question: In how many ways can 5 different rings be worn in four particular fingers? (Some fingers may get more than one ring and some may get no rings.)
Can somebody explain?
A.6720
B.7720
C.7820
D.7950
Answer: A.6720
Explanation: First ring can be worn in 4 ways (on any of the four fingers);
Second ring can be worn in 5 ways (as it can go on any of four fingers - 4 ways; plus it can go below the first one - 1);
Third ring can be worn in 6 ways (the same logic as for the second ring);
Fourth ring can be worn in 7 ways;
Fifth ring can be worn in 8 ways;
Total: 4*5*6*7*8=6720. ANS:A
Question: If A : B = 4 : 7 and B : C = 4 : 9 then A : B : C is :
A.20 : 35 : 63
B.35 : 36 : 63
C.16 : 28 : 63
D.25 :34: 68
Answer: C.16 : 28 : 63
Explanation: Expl : A : B = 4 : 7
B : C = 4 :9 = 4*7/4 : 9 *7/4 = 7 : 63/4
A : B : C = 4 : 7 : 63/4 = 16 : 28 : 63
Answer: C
Question: A person is 24 years older than his daughter. In 2 years, the person’s age will be 2 times the age of his daughter. Then, the current age of the daughter is:
A.22
B.42
C.32
D.41
Answer: A.22
Explanation: Let the daughter’s current age be A years. Then, the person’s current age = (A +24) years.
(A + 24) + 2 = 2 (A + 2)
A + 26 = 2A + 4
A = 22
Question: A small company employs 3 men and 4 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?
A. 1/14
B. 1/7
C. 20/70
D. 18/70
Answer: D. 18/70
Explanation: Total ways to choose 4 employees from 8 employees = 8C4
Two women = 4C2
Two Men = 3C2
P = (5C2 * 3C2)/8C2 = 18/70 hence D.
Question: A certain ski shop sells pairs of gloves in 12 different colors. If one pair of each color is dropped in a bag and a store clerk reaches in to draw two individual gloves simultaneously and at random, what is the probability that she draws two gloves of the same color?
A.1/144
B.1/143
C.1/24
D.1/23
Answer: D.1/23
Explanation: Chance of getting a color from the 12 different colored gloves = 24/24=1
Chance of picking the same color as first sock out of the remaining 12∗2−1=23 socks = 1/23
Probability of 1st x Probability of 2nd = 1∗1/23=1/23
Answer is D
Question: In an office, totally there are 2200 employees and 40% of the total employees are males. 30% of the males in the office are at-least 50 years old. Find the number of males aged below 50 years?
A.661
B.600
C.620
D.616
Answer: D.616
Explanation: Number of male employees = 2200* 40/100 = 880
Required number of male employees who are less than 50 years old = 880* (100 - 30)%
= 880* 75/100 = 616.
ANSWER:D
Question: A man is 20 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is?
A.11
B.25
C.27
D.18
Answer: D.18
Explanation: Let the son's present age be x years.
Then, man's present age = (x + 20) years.
(x + 20) + 2 = 2(x + 2) x + 22 = 2x + 4 => x = 18.
Answer: D
Question: If 5^25 * 4^13 = 2 * 10^n, what is the value of n?
A.11
B.25
C.22
D.23
Answer: B.25
Explanation: My attempt:
5^(25) * 4^(13) = 2*10^p
5^(25) * 2 ^ (26) = 2 * (2*5)^p
5^(25) * 2 ^ (26) = 2 * 2^(p) * 5^(p)
5^(25) * 2 ^ (26) = 2^(p+1) * 5^(p)
=> (p+1) = 26
=> p = 25
Answer: 21 (B)
Question: The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 53 ounces of this substance?
A.27
B.36
C.42
D.22
Answer: D.22
Explanation: 112 ounces of a substance has a volume of 48 cubic inches
53 ounces of a substance has a volume of (48/112)*53 = 22 cubic inches
Answer D
Question: There are 750 male and female participants in a meeting. Half the female participants and one-quarter of the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
A.75
B.100
C.125
D.175
Answer: C.125
Explanation: female = x
Male = 750-x
x/2 + 750-x/4 = 1/3* (750)= 250
x= 250
x/2 = 125 is supposed to be the answer
ANSWER:C
Question: If (y - 2)(z - 3) + 5(z - 3) = 0, then which of the following must be true?
A. y = -4 and z = -3
B. y = -4 or z = -3
C. y = -4 or z = 3
D. y = 1 and z = 2
Answer: C. y = -4 or z = 3
Explanation: by taking out common factor,
(z-3)(y-2+5)=0
(z-3) (y+3) = 0
So by checking options we get ,
Ans - C
Question: A and B can do a work in 2 days, B and C in 6 days and C and A in 8 days. In how many days will the work be completed, if all three of them work together?
A.12/28
B.48/19
C.16/48
D.18/48
Answer: B.48/19
Explanation: One day work of A and B = 1/2
One day work of B and C = 1/6
One day work of C and A = 1/8
2(A + B + C) = 1/2 + 1/6 + 1/8
2(A + B + C) = 19/24
(A + B + C) = 19/48
Number of days required = 48/19 days.
Answer: B
Question: How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 7 ?
A.3
B.1
C.4
D.0
Answer: D.0
Explanation: A number ending with 7 can never be a perfect square.
Answer: D
Question: A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
A.2 1/5
B.2 1/6
C.2 1/3
D.2 1/2
Answer: D.2 1/2
Explanation: Required time = (5 1/4)/3 + (5 1/4)/7
= 2 1/2 hours.
Answer: D
Question: Each writer for the local newspaper is paid as follows: a dollars for each of the first t stories each month, and a + b dollars for each story thereafter, where a > b. How many more dollars will a writer who submits t + a stories in a month earn than a writer who submits t + b stories?
A.(a – b)( a + b + t)
B.a – b
C.a^2 – b^2
D.t( a – b)
Answer: C.a^2 – b^2
Explanation: total earned for t+a stories =a + a(a+b)
total earned for t+b stories =a+ b(a+b)
difference = a+a(a+b) -a -b(a+b)
=(a+b)(a-b) =a^2-b^2
answer is C
Question: If a sum on compound interest becomes three times in 4 years, then with the same interest rate, the sum will become 81 times in:
A.12 years
B.18 years
C.16 years
D.14 years
Answer: C.16 years
Explanation: Explanation:
The sum P becomes 3P in 4 years on compound interest
3P = P(1+R/100)4
⇒ 3 = (1+R/100)4
Let the sum P becomes 81P in n years
81P = P(1+R/100)n
⇒ 81 = (1+R/100)n
⇒ (3)4 = (1+R/100)n
⇒ ((1+R/100)4)4 = (1+R/100)n
⇒ (1+R/100)16 = (1+R/100)n
n=16
i.e, the sum will become 81 times in 16 years
Answer: Option C
Question: In a particular course, only two grades are given all semester: the midterm exam, which counts for 25% of the semester grade, and the final exam, which counts for the remainder. Lindsey's semester grade was 88%. If the highest possible score on either exam is 100%, what is the lowest possible score O that Lindsey could have received on her midterm exam?
A.52%
B.64%
C.72%
D.76%
Answer: A.52%
Explanation: If the midterm counts for 25% of the total grade, then the final exam must count for the remaining 75%, meaning that in this weighted average problem the final is weighted 3 times as much as the midterm. Using the weighted average mapping strategy, then, and maximizing her final exam score so that you minimize her midterm score, you have:
100-------------88----------------------------x
And you know that the ratio is 3:1. Since the final exam score of 100 is weighted heavier, then the difference of 12 between 100 and 88 is the1part of the ratio, meaning that 3(12) is the 3 portion. That equals 36, so the midterm score (x) is 36 less than the weighted average of 88. 88 - 36 = 52, sothe correct answer is 52%.
Question: In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 4:3:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?
A. $900
B. $720
C. $675
D. $450
Answer: C. $675
Explanation: To solve this question, it will be best to first express the given ratio using variable multipliers. Thus, we have:
Household Expenses : Food : Miscellaneous = 4x : 3x : x
Since we are told that the TOTAL amount allocated to these categories is $1,800 we can set up the equation:
4x + 3x + x = 1,800
8x = 1,800
x = 225
Thus, the total amount allocated to food is 3 x 225 = $675.
Answer C.
Question: A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 130 revolutions. How many revolutions does the second wheel make in covering d feet?
A.65x+y
B.130x/y
C.130x+y
D.100x-y
Answer: B.130x/y
Explanation: A wheel covers 2πr distance in one revolution. where r= diameter/2
First wheel covers d feet in 130 rev. => d= 130* 2π * (x/2)
Second wheel covers d feet in let's say P revolutions; => d = P* 2π * (y/2)
comparing both equations:-
=> p= (130∗2π∗x/2)/(2π∗y/2)
=> 130x/y
Answer :- B
Question: For a rectangular box, what is the product of the areas of the 3 adjacent faces that meet at a point?
A.Volume of the box
B.Twice the volume of the box
C.Half of the volume of the box
D.Square of the volume of the box
Answer: D.Square of the volume of the box
Explanation: SOLUTION :
The area of the 3 adjacent faces of a rectangular box of length ‘l’, breadth ‘b’, and depth ‘h’ are ‘l*b’, ‘b*h’, and ‘l*h’.
Therefore, lb*bh*lh = l2b2h2 = (lbh) 2 = square of the volume of the box.
ANSWER IS D
Question: Alex opened a shop investing Rs.10000. Samuel joined him 6 months later, investing Rs.15000. They earned a profit of Rs.3500 after completion of one year. What will be Alex and Samuel's profits respectively?
A.2000 and 1500
B.1500 and 2000
C.1800 and 1700
D.1700 and 1800
Answer: A.2000 and 1500
Explanation: SoL = ~s- So Alex's share = [4/7] x 3500= 2000
Samuel's share = [3/7] x 3500= 1500
Answer : A
Question: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes?
A.430
B.438
C.436
D.434
Answer: A.430
Explanation: Let the total number of valid votes be x.
70% of x = 70/100 * x = 7x/10
Number of votes secured by the other candidate = x - 7x/100 = 3x/10
Given, 7x/10 - 3x/10 = 172 => 4x/10 = 172
=> 4x = 1720 => x = 430.
Answer:A
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
A.233
B.287
C.108
D.100
Answer: D.100
Explanation: A can give B (5 min - 4 1/2 min) = 30 sec start.
The distance covered by B in 5 min = 1000 m.
Distance covered in 30 sec = (1000 * 30)/300 = 100 m.
A can give B 100m start.
Answer:D
Question: Jerry, an electrician, worked 3 months out of the year. What percent
of the year did he work? (round answer to the nearest hundredth)
What percent 12 is 3? 12 months = 1 year
A.58.33%
B.25%
C.78.33%
D.88.33%
Answer: B.25%
Explanation: 1. Multiply the opposites
3 x 100 = 300
100=3/12
Divide by the remaining number
25%
correct answerB
Question: If y = 2 + 2K and y≠0y≠0, then 7/y + 3/y + 1/y + 1/y = ?
A.1/(8+8k)
B.6/(1+k)
C.1/(8+k)
D.4/(8+k)
Answer: B.6/(1+k)
Explanation: 7/Y + 3/Y + 1/Y + 1/Y
= 12/Y
= 12/(2 + 2K)
= 6/(1 + K)
ANSWER:B
Question: While out shopping for clothes you have a 20% off coupon, which must be applied before a 7% sales tax is added. What is the final percentage you will pay for the clothes relative to the un-adjusted price?
A.127.2%
B.74%
C.75.2%
D.84.8%
Answer: D.84.8%
Explanation: (100%-20%)*(100%+6%) = 0.80*1.06 = 84.8%
The Final Percentage you will pay of the un-adjusted price will be 84.8%
The Answer is D
Notice the answer is the same no mater which order you apply the tax and the discount.
(100%+6%)*(100%-20%) = 1.06*0.80 = 84.8%
Question: A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
A.328
B.27
C.3
D.8
Answer: C.3
Explanation: 40*(40/100) = 16 --- 64
? --- 12 => Rs.3Answer: C
Question: A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
A.24
B.22
C.20
D.16
Answer: A.24
Explanation: B = 1/8 â€“ 1/2 = 1/24 => 24 days
ANSWER A
Question: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there
A.109
B.128
C.138
D.209
Answer: D.209
Explanation: Explanation:
In a group of 6 boys and 4 girls, four children are to be selected such that
at least one boy should be there.
So we can have
(four boys) or (three boys and one girl) or (two boys and two girls) or (one boy and three gils)
This combination question can be solved as
(6C4)+(6C3∗4C1)++(6C2∗4C2)+(6C1∗4C3)
=[6×5/2×1]+[(6×5×4/3×2×1)×4]+[(6×5/2×1)(4×3/2×1)]+[6×4]
=15+80+90+24=209
Option D
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
A.40
B.99
C.88
D.77
Answer: A.40
Explanation: :
Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec
Answer:A
Question: A sum of money becomes triple itself in 5 years at simple interest. How many years will it become six times at the same rate?
A.18 1/2 years
B.12 1/8 years
C.16 1/2 years
D.12 1/2 years
Answer: B.12 1/8 years
Explanation: 100 ---- 200 ---- 5
200 ---- 5
100 ---- 2 1/2
------------------
600 ---- 12 1/2 years
Answer: B
Question: The below sequence is a bit tricky. Can you solve it to find the next number?
4, 24, 324, 4324, ?
A.29816
B.38291
C.54324
D.38290
Answer: C.54324
Explanation: See the pattern. With every digit, the previous numbers are added after that digit
So the next number in the series is 54324
Answer : C
Question: Which of these must the factor of the product of four consecutive even integers:-
1) 48
2) 64
3) 96
4) 192
5) 80
A.1,2 only
B.2,3 only
C.1,2,3 only
D.1,2,3,4 only
Answer: D.1,2,3,4 only
Explanation: 80 is not factor.... It has to have one 5.
Answer is D
Question: If x is 30 percent more than y and y is 50 percent less than z, then x is what percent of z?
A.500%
B.250%
C.65%
D.125%
Answer: C.65%
Explanation: Z = 100 ; Y = 50 so X = 65
X as % of Z = 65/100 * 100 => 65%
Answer will be (C)
Question: For how many integers k is k^3 = 3^k ?
A.None
B.One
C.Two
D.Three
Answer: B.One
Explanation: 3^3=3^3
For k= 3 the above equality holds true.
B is the answer
Question: It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to gate at least two socks of the same color?
A.2
B.3
C.48
D.25
Answer: B.3
Explanation: let
if first is red
and by luck if 2nd is not red then we u hav to take 3rd one.
which will be either red or blue.
but u will get 2 socks of same color,either red or blue.
ANSWER:B
Question: In wardrobe Marry has 3 trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3are white. He opens hiswardrobe in the dark and pick out one shirt trouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?
A.1/2
B.2/3
C.3/5
D.3/7
Answer: A.1/2
Explanation: Probability that trouser is not grey = 2/3
Probability that shirt is not grey = 3/4
∴ Required probability = 2/3 x 3/4 = 1/2
A
Question: Tom went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A.17
B.18
C.19.7
D.21.1
Answer: C.19.7
Explanation: Total cost of the items he purchased = Rs.25
Given that out of this Rs.25, 30 Paise is given as tax
=> Total tax incurred = 30 Paise = Rs.30/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (25−30/100−x)6/100 = 30/100
⇒ 6(25 −0.3 −x) = 30
⇒ (25 − 0.3 − x) = 5
⇒ x = 25 − 0.3 − 5 = 19.7
C)