RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If A^2 + B^2 = 10 and AB = 10, what is the value of the expression (A - B)^2 + (A + B)^2?
A.10
B.20
C.30
D.60
Answer: B.20
Explanation: (a-b)^2 = a^2 + b^2 - 2ab = 10-20= -10
(a+b)^2 = a^2 + b^2 + 2ab = 10+20=30
so (a+b)^2 + (a-b)^2 = 30 - 10 =20
B
Question: The largest 4 digit number exactly divisible by 88 is:
A.4252
B.6287
C.7631
D.9944
Answer: D.9944
Explanation: D
Divide largest four digit number 9999 by 88. You get 113.625.
Obviously 113 would be exactly divisible so we want to know what that number is.
We get this by multiplying 113 with 88 = 9944
Question: The average of runs of a cricket player of 10 innings was 30. How many runs must he make in his next innings so as to increase his average of runs by 4?
A.87
B.74
C.10
D.76
Answer: B.74
Explanation: Average after 11 innings = 34
Required number of runs
= (34 * 11) - (30 * 10) = 374- 300
= 74.
Answer: B
Question: Tough and Tricky questions: Combinations.
Six contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
A.6
B.7
C.12
D.18
Answer: D.18
Explanation: Number of ways First-place medal can be awarded to four contestants = 6
Number of ways Second-place medal can be awarded to contestants after awarding First-place medal =3
Therefore number of possibilities = 6 *3 =18
Answer:D
Question: A can build a wall in the same time in which B and C together can do it. If A and B together could do it in 25 days and C alone in 35 days, in what time could B alone do it?
A.275 days
B.178 days
C.185 days
D.175 days
Answer: D.175 days
Explanation: Explanation:
No explanation is available for this question!
ANSWER: D
Question: When positive integer n is divided by 3, the remainder is 2. When n is divided by 5, the remainder is 5. How many values less than 100 can n take?
A. 0
B. 2
C. 3
D. 4
Answer: A. 0
Explanation: a quick approac to this Q is..
the equation we can form is.. 3x+2=7y+5..
3x-3=7y... 3(x-1)=7y...
so (x-1) has to be a multiple of 7 as y then will take values of multiple of 3..
here we can see x can be 1,8,15,22,29 so 5 values till 100 is reached
as (29-1)*3=84 and next multiple of 7 will be 84+21>100..
ans 0.. A
Question: the largest four-digit number which is a perfect cube, is
A.8000
B.9261
C.9999
D.None of these
Answer: B.9261
Explanation: Solution
Clearly, 9261 is a perfect cube satisfying the given property.
Answer B
Question: The end of a blade on an airplane propeller is 20 feet from the center. If the propeller spins at the rate of 1,320 revolutions per second, how many miles will the tip of the blade travel in one minute? (1 mile = 5,280 feet)
A.200π
B.240π
C.600π
D.480π
Answer: C.600π
Explanation: Distance traveled in 1 revolution = 2πr= 2π20/5280
Revolutions in one second= 1320
Revolutions in 60 seconds (one minute)= 1320*60
Total distance traveled= total revolutions *distance traveled in one revolution
1320*60 *2π20/5280= 600π
C is the answer
Question: A train which has 390 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?
A.26 sec
B.39 sec
C.36 sec
D.29 sec.
Answer: B.39 sec
Explanation: Time taken to cross a moving person = length of train/ relative speed
Time taken = 390/((45-9) (5/18)
= 390/ 36*(5/18)
= 390/10
= 39 sec
ANSWER:B
Question: In an engineering class that contained 25 students, the final exam consisted of 2 questions. Three fifths of the students answered the first question correctly. If four fifths of the remainder answered the second question correctly, how many students answered both questions incorrectly?
A.2
B.6
C.10
D.12
Answer: A.2
Explanation: 1st Question : Three fifths of the students answered the first question correctly - so 3/5âˆ—25=15
2nd Question : four fifths of the remainder answered the second question correctly so 4/5âˆ—(25âˆ’15)=4/5âˆ—10=8
total students who answered at least one Q correct =15+8=23
so students who answered BOTH incorrectly = 25âˆ’23=2
ANSWER:A
Question: Presently the ratio between the ages of Dan and James is 6:5. after 4 years Dan will be 28. What is the present age of James?
A.20
B.19
C.21
D.18
Answer: A.20
Explanation: Let the present ages Dan and James be 6x years and 5x years respectively
6x+4 = 28
6x = 24
x = 4
Kim's age = 5x = 20 years
Answer is A
Question: Of the 3,600 employees of Company X, 1/4 are clerical. If the clerical staff were to be reduced by 1/4, what percent of the total number of the remaining employees would then be clerical?
A. 25%
B. 22.2%
C. 20%
D. 12.5%
Answer: C. 20%
Explanation: Welcome, just post the question and the choices
Let's see, the way I did it was
1/4 are clerical out of 3600 so 900 are clerical
900 reduced by 1/3 is 900*1/3
so it reduced 300 people , so there is 600 clerical people left
but since 600 people left, it also reduced from the total of 3600 so there are 3000 people total
since 600 clerical left / 300 people total
you get (A) 20%
Answer : C
Question: The banker's gain on a bill due due 1 year hence at 12% per annum is Rs.8.4. The true discount is
A.Rs.70
B.Rs.36
C.Rs.54
D.Rs.50
Answer: A.Rs.70
Explanation: Solution
T.D	= [B.G x 100 / R x T]
= Rs.(8.4 x 100 / 12 x 1)
= Rs.70.
Answer A
Question: Working individually, Allison can sew dresses for 9 hours and Al can sew dresses in 12 hours. If Allison and Al work together but independently at the task for 3 hours, at which point Al leaves, how many remaining hours will it take Allison to complete the task alone?
A.45/12
B.23/12
C.40/33
D.34/12
Answer: A.45/12
Explanation: In first 3 hrs Al will finish 3/12 = 1/4 of work and Allison will finish 3/9=1/3 work so total 1/4 + 1/3 = 7/12 work is finished and 1-7/12 = 5/12 work remaining. Now Allison will take (5/12)*9 = 45/12 hrs to finish it.
So answer is A.
Question: What is the probability for a family with four children to have two boys and two girls (assuming the probability of having a boy or a girl is equal)?
A.1/2
B.1/4
C.1/8
D.3/8
Answer: D.3/8
Explanation: One possible case is: girl - girl - boy - boy
The probability of this is 1/2*1/2*1/2*1/2 = 1/16
There are 4C2 = 6 such cases so we should multiply by 6.
P(two boys and two girls) = 6/16 = 3/8
The answer is D.
Question: Out of four numbers ,the average of first three is 16 and that of the last three is 15. If the last number is 20,the first number is :
A.22
B.23
C.77
D.99
Answer: B.23
Explanation: Explanation:
Let the numbers be a,b,c,d
Given, a + b + c = 48, b + c + d = 45
Now, d = 20
thus, b + c + 20 = 45 ⇒ b + c = 25
Putting the value of b + c in a + b + c = 48
a + 25 = 48 ⇒ a = 23
Answer: B
Question: 6x – 5y + 3z = 26
4x + 8y – 11z = 7
5x – 6y + 2z = 12
Given the equations above, x + y + z = ?
A. 11
B. 12
C. 13
D. 14
Answer: D. 14
Explanation: (6x – 5y + 3z) - (5x – 6y + 2z ) = 26-12
or, x+y+z = 14
Option D is the ans
Question: Consider a lady took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 9000
interest only for the period. The principal amount borrowed by her was
A.Rs. 25000
B.Rs. 10000
C.Rs. 15000
D.Rs. 20000
Answer: A.Rs. 25000
Explanation: Explanation :
Principal = Rs. (100×9000 / 12×3)
=> Rs. 25,000.
Answer : A
Question: In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 75 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?
A.50%
B.53%
C.54%
D.55%
Answer: B.53%
Explanation: Registered voters = 100
D = 60
R = 40
75% of D ( 60) = 45
20% of R ( 40 ) = 8
Total voter% of registered voters = 53 / 100
53%
Answer: B
Question: On a scale of a map 0.6 cm represents 6.6km. If the distance between two points on the map is 80.5 cm , what is the the actual distance between these points?
A.885.5 km
B.860 km
C.892.5 km
D.825 km
Answer: A.885.5 km
Explanation: Explanation :
Let the required actual distance be x km
More scale distance, More actual distance(direct proportion)
Hence we can write as
scale distance.6:80.5}::6.6:x
⇒.6x = 80.5 × 6.6
⇒ .1x = 80.5 × 1.1
⇒ x = 80.5 × 11 = 885.5. Answer : Option A
Question: Calculate how much time could be saved if the train would run at its usual speed, given that it ran at 6/8 of its own speed and got to its destination in 11 hours?
A.2.5 hrs
B.2.9 hrs
C.4.5 hrs
D.3.5 hrs
Answer: A.2.5 hrs
Explanation: New speed = 6/8 of usual speed
New time = 6/8 of usual time
6/8 of usual time = 10 hrs
Usual time = 10*6/8 = 7.5 hrs
Time saved = 10-7.5 = 2.5 hrs
Answer is A
Question: How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 3 ?
A.4
B.0
C.3
D.2
Answer: B.0
Explanation: A number ending with 3 can never be a perfect square.
Answer: B
Question: Today is Tuesday. After 75 days, it will be:
A.Saturday
B.Sunday
C.Friday
D.Thursday
Answer: B.Sunday
Explanation: Each day of the week is repeated after 7 days.
So, after 77 days, it will be Tuesday.
After 75 days, it will be Sunday.
Answer :B
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
A.7 min
B.13 min
C.23 min
D.9 min
Answer: D.9 min
Explanation: 1/10 + 1/15 - 1/x = 1/18
x = 9
ANSWER:D
Question: What is the rate percent when the simple interest on Rs.2000 amount to Rs.500 in 2 Years?
A.5%
B.6%
C.12.5%
D.95%
Answer: C.12.5%
Explanation: Interest for 2yrs = 500
Interest for 1yr = 250
Interest rate = 250/2000 x 100 = 12.5%
Answer : C
Question: Workers at a campaign office have 2000 fliers to send out. If they send out 1/10 of them in the morning and 1/4 of the remaining ones out during the afternoon, how many are left for the next day?
A.300
B.1350
C.1100
D.1200
Answer: B.1350
Explanation: (1/10)*2000 = 200
Remaining = 2000-200 = 1800
(1/4) of remaining = (1/4)*1800 = 450
Remaining now = 1800-450 = 1350
Answer: Option B
Question: The number 70 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
A.17
B.16
C.15
D.14
Answer: D.14
Explanation: I think brute force with some common sense should be used to solve this problem.
Write down all perfect squares less than 70: 1, 4, 9, 16, 25, 36, 49, 64.
Now, 70 should be the sum of 3 of those 8 numbers. Also to simplify a little bit trial and error, we can notice that as 70 is an odd numbers then either all three numbers must be odd (odd+odd+odd=odd) OR two must be even and one odd (even+even+odd=odd).
We can find that 60 equals to 9+25+36=3^2+5^2+6^2=70 --> 3+5+6=14.
Answer: D.
Question: In what ratio must sugar at Rs.7.10 be mixed with sugar at Rs.9.20 so that the mixture may be worth Rs.8 per kg?
A.6:3
B.7:3
C.1:7
D.4:3
Answer: D.4:3
Explanation: CP of 1 kg sugar of 1st kind =7.1
CP of 1 kg sugar of 2nd kind=9.2
Mean Price=8
CP of 1 kg sugar of 1st kind - Mean Price=8-7.1=0.9
CP of 1 kg sugar of 2nd kind - Mean Price=9.2-8=1.2
Required ratio = 1.2 : 0.9 = 12 : 9 = 4 : 3
Answer:D
Question: 5,9,20,32,52,__
A.79
B.85
C.81
D.82
Answer: B.85
Explanation: (9+5) +6 = 20
(16+9) +7 = 32
(28+16)+8 = 52
(48+28)+9 = 85
ANSWER:B
Question: A can complete a project in 20 days while B can complete same project in 30 days. If A and B start working together and A leaves the work 10 days before completion of project, then in how many days the project will be completed?
A.15
B.16
C.17
D.18
Answer: D.18
Explanation: A's 1day work=1/20;
B's 1day work=1/30;
(A+B) 1day work=(1/20+1/30)=1/12;
It is given that A leaves the work 10 days before completion of the project..
Thus,B alone does the remaining job in 10 days.
So,In 10 days ,B can do 1/3 w ..
Thus,(A+B) have worked (1-1/3)=2/3 w..
(A+B)can do 1/12 work in 1 day...
They did 2/3 w in 8 days.
Total days=(8+10) = 18
ANSWER:D
Question: There are 7 players in a bowling team with an average weight of 85 Kg. If two new players join the team, one weighs 110 Kg and the second weighs 60 Kg, what will be the new average weight?
.
A.75 Kg
B.80 Kg
C.85 Kg.
D.90 Kg
Answer: C.85 Kg.
Explanation: New average weight= 110+60/2= 85 kgs
Since avg weight of 85 is added to avg weight of 85, the average will remain the same, i.e 85
C is the answer
Question: A HEXAGON IS FORMED ABCDEF WHICH PERIMETER 36cm. A POLYGON IS FORMED BY JOINING THE POINTS AE &BD . FIND THE AREA OF THE POLYGON ABDE?
A.34√3 cm2
B.35√3 cm2
C.36√3 cm2
D.37√3 cm2
Answer: C.36√3 cm2
Explanation: A regular hexagon consist of 6 equilateral triangle. Each of side 6 cm.
So the area of 1 equilateral triangle is = ¼(√3 a2) = 9√3 cm2
The figure formed by joining polygon ABDE consist of 2 equilateral triangle and 4 half equilateral triangle
Which employs area of 4 equilateral triangle.
So, The area of polygon ABDE = 4*(area of equilateral traingle)
= 4* 9√3 = 36√3 cm2
ANSWER:C
Question: The average marks of 10 students in a class is 100. But a student mark is wrongly noted as 90 instead of 10 then find the correct average marks?
A.A)78
B.B)82
C.C)92
D.D)91
Answer: C.C)92
Explanation: correct avg marks = 100+(10-90)/10
avg = 100-8 = 92
Answer is C
Question: A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is
A.9
B.10
C.11
D.12
Answer: B.10
Explanation: Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.
Man's rate against the current = (12.5 - 2.5) km/hr = 10 km/hr.
Answer:B
Question: Tough and Tricky questions: Word Problems.
In a rare coin collection, one in six coins is gold, and all coins are either gold or silver. If 10 silver coins were to be subsequently traded for an additional 10 gold coins, the ratio of gold coins to silver coins would be 1 to 6. Based on this information, how many gold coins would there be in this collection after the proposed trade?
A.50
B.60
C.180
D.200
Answer: C.180
Explanation: The correct answer is C.
Question: An athlete decides to run the same distance in 1/4th less time that she usually took. by how much percent will she have to increase her average speed?
A.40
B.44.4
C.33.3
D.22.2
Answer: C.33.3
Explanation: simple logic (1-1/4)=3/4 then reverse it so 4/3=1.333
1.33-1=33.33
ANSWER:C
Question: Suppose 3 monkeys take 3 minutes to eat 3 bananas. How many monkeys would it take to eat 6 bananas in 6 minutes?
A.9
B.10
C.11
D.3
Answer: D.3
Explanation: One monkey takes 3 min to eat 1 banana , so in 6 mins 1 monkey will eat 2 bananas , so for 6 bananas in 6 min we need 6/2 =3 monkeys
ANSWER:D
Question: A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey.
A.278 km
B.390 km
C.267 km
D.286 km
Answer: B.390 km
Explanation: The total distance covered by the car in the first 10 hours
= 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 + 46 + 48
= sum of 10 terms in AP whose first term is 30 and last term is 48
= 10/2 [30 + 48] = 390 km.
Answer: B
Question: The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
A.91.5 cm
B.93.5 cm
C.94.5 cm
D.92.5 cm
Answer: A.91.5 cm
Explanation: Explanation:
Perimeter of the sector = length of the arc + 2(radius)
= (135/360 * 2 * 22/7 * 21) + 2(21)
= 49.5 + 42 = 91.5 cm
ANSWER IS A
Question: A train running at the speed of 60 km/hr crosses a pole in 12 seconds. What is the length of the train?
A.140
B.130
C.150
D.200
Answer: D.200
Explanation: Speed=(60x5/8)m/sec = (50/3) m/sec.
Length of the train = (Speed x Time).
Length of the train = (50/3 x 12)m = 200 m.
Answer is D.
Question: Simplify: (8-5)+(10-2+3)-5
A.8
B.9
C.-8
D.-9
Answer: B.9
Explanation: Solution:
(8-5)+(10-2+3)-5
=3+8+3-5
=14-5
=9
Answer: (B)
Question: You are a cashier at a grocery store. Your customer, David, buys a pound of bacon
$1.39, one dozen eggs for $1.29, and a pound of coffee for $2.79. What is the sum
total of his purchases?
A.$5.47
B.$6.47
C.$7.47
D.$8.47
Answer: A.$5.47
Explanation: Add $1.39+ $1.29+$2.79
we have the sum $5.47
correct answer A
Question: The total marks obtained by a student in Mathematics and Physics is 32 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
A.40
B.26
C.27
D.28
Answer: B.26
Explanation: Let the marks obtained by the student in Mathematics, Physics and Chemistry be M, P and C respectively.
Given , M + C = 32 and C - P = 20 M + C / 2 = [(M + P) + (C - P)] / 2 = (32 + 20) / 2 = 26.Answer:B
Question: A person is 80 years old in 490 and only 70 years old in 500 in which year is he born?
A.400
B.550
C.570
D.440
Answer: C.570
Explanation: 490(80),500(70),510(60),520(50),530(40),540(30),550(20),560(10),570(0)
ANSWER:C
Question: Complete the sequence:
6 7 9 8 6 8 ?
A.9
B.2
C.2
D.8
Answer: A.9
Explanation: A
9
Number of alphabets in the days of a week. Monday contains 6 letters; Tuesday contains 7 letters and so on.
Question: The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is?
A.1:7
B.1:3
C.1:8
D.1:9
Answer: C.1:8
Explanation: 4πr12 : 4πr22 = 1 : 4
r1 : r2 = 1 : 2
4/3 πr13 : 4/3 πr23
r13 : r23 = 1:8
Answer:C
Question: A manufacturer of a certain product can expect that between 0.1 percent and 0.3 percent of the units manufactured will be defective. If the retail price is $2,500 per unit and the manufacturer offers a full refund for defective units, how much money can the manufacturer expect to need to cover the refunds on 20,000 units?
A. Between $15,000 and $25,000
B. Between $50,000 and $150,000
C. Between $60,000 and $100,000
D. Between $150,000 and $250,000
Answer: B. Between $50,000 and $150,000
Explanation: Number of defective units is between = .1 % of 20000 and .3% of 20000
= 20 and 60
Retail Price per unit = 2500 $
Expected price of refund is between = 2500 x 20 and 2500 x 60
=50,000 and 1,50,000 dollars
Answer B
Question: What is the value of (P + Q)/(P - Q) if P/Q is 10?
A.4/3
B.2/3
C.2/6
D.11/9
Answer: D.11/9
Explanation: (P + Q)/(P - Q) = [(P/Q) + 1]/[(P/Q) - 1]
= (10 + 1)/(10 - 1)
= 11/9
= 11/9
ANSWER:D
Question: A bookseller has two display windows. She plans to display 5 new fiction books in the left window, and 6 new non-fiction books in the right window. Assuming she can put the six fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?
A.86400
B.65777
C.89000
D.34560
Answer: A.86400
Explanation: Two displays books could be arranged n! # of total arrangements are combinations multiplied together,
5!*6! =120*720=86400
Answer is A
Question: Liam is pulled over for speeding just as he is arriving at work.He explains to the police officer that he could not afford to be late today, and has arrived at work only four minutes before he is to start. The officer explains that if Liam had driven 5mph slower for his whole commute, he would have arrived at work exactly on time. If Liam's commute is 20 miles long,how fast was he actually driving?(Assume that Liam drove at a constant speed for the duration of his commute.)
A.40 mph
B.45 mph
C.48 mph
D.52 mph
Answer: A.40 mph
Explanation: Let t be the number of hours he would need to reach office on time.
when he is driving with over speed, he reached office 4 min earlier! so the equation for this is s(t - 4/60) = 30
where s is the speed and 30 is the distance.
if he decreases his speed by 5mph then he would have reached his office on time: (s-5)t = 30
if you solve above equations, you will arrive at t = 2/3 hr and s = 40mph
therefore answer is A
Question: The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average?
A.72
B.55
C.44
D.66
Answer: A.72
Explanation: Sum of the marks for the 12 students = 12 * 36 = 432. The marks of each student are doubled, the sum also will be doubled.
The new sum = 432 * 2 = 864. So, the new average = 864/12 = 72.
Answer: A
Question: A bicyclist travels uphill from town A to town B for 2 hours at an average speed of 6 miles per hour and returns along the same road at an average speed of 6 miles per hour. What is the bicyclist’s average speed for the round trip, in miles per hour?
A.(a) 24/5
B.(b) 6
C.(c) 26/5
D.(d) 27/5
Answer: B.(b) 6
Explanation: from the uphill we can find out the distance = 6*2 = 12
average speed = total distance/total time
= 24/ (2+ (12/6)) = 6
Answer is B.
Question: A student got 72% in math and 84% in history. To get an overall average of 75%, how much should the student get in the third subject?
A.65%
B.67%
C.69%
D.71%
Answer: C.69%
Explanation: 72 + 84 + x = 3*75
x = 69
The answer is C.
Question: A sum amount to Rs.1344 in two years at simple interest. What will be the compound interest on the same sum at the same rate of interest for the same period?
A.10.28%
B.10.95%
C.10.25%
D.12.25%
Answer: C.10.25%
Explanation: 100
5 ---- I
5
0.25 --- II
-----------
10.25%.Answer:C
Question: 180 students appeared for a test, of which 162 passed. The pass percentage is
A.80%
B.85%x1/2%
C.90%
D.93x1/3%
Answer: C.90%
Explanation: Explanation :
Pass percentage = (162/180 100)%
= 90%
Answer : C
Question: The H.C.F. of two numbers is 15 and their L.C.M. is 420. If one of the numbers is 375, then the other is:
A.12.21
B.283
C.16.8
D.318
Answer: C.16.8
Explanation: Other number =	(15 x 420)/375 = 16.8.
ANSWER :C
Question: Find compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually.
A.Rs.512
B.Rs.552
C.Rs.612
D.Rs.622
Answer: C.Rs.612
Explanation: Solution
Amount	= Rs[7500x(1+4/100)²]
=Rs.(7500x26/25x26/25)
= Rs.8112.
C.I	= Rs(8112 - 7500)
=Rs.612.
Answer C
Question: In how many possible ways you can write 3240 as product of 3 positive integers x,y,z .
A.420
B.450
C.350
D.320
Answer: B.450
Explanation: 3240=2^3*3^4*5
we have to distribute three 2 to three numbers : 3+3-1C3-1=5C2=10
similarly for 3 and 5
therefore total=10*15*3=450
ANSWER:B
Question: In how many ways can a committee consisting of three men and four women be formed from a group of six men and seven women?
A.(7C4)(6C9)
B.(7C4)(6C5)
C.(7C4)(6C3)
D.(7C4)(8C3)
Answer: C.(7C4)(6C3)
Explanation: The group contain six men and seven women
Three men can be selected from six men in 6C3 ways.
Four women can be selected from seven women in 7C4 ways.
Total number of ways = (7C4)(6C3).
Answer:C
Question: When positive integer N is divided by positive integer J, the remainder is 12. If N/J = 134.08, what is value of J?
A.22
B.56
C.78
D.150
Answer: D.150
Explanation: When a number is divided by another number, we can represent it as : Dividend = Quotient * Divisor + Remainder
So, Dividend/Divisor = Quotient + Remainder/Divisor
Given that N/J = 134.08
Here 134 is the quotient.
Given that Remainder = 12
So, 134.08 = 134 + 12/J
So, J = 150 ANS D
Question: In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 140?
A.65
B.77
C.25
D.18
Answer: A.65
Explanation: A scores 60 while B score 40 and C scores 30.
The number of points that C scores when B scores 100 = (100 * 30)/40 = 25 * 3 = 75.
In a game of 100 points, B gives (140 - 75) = 65 points to C.
Answer:A
Question: The length of a rectangle is reduced by 20%. By what % would the width have to be increased to maintainthe original area?
A.12%
B.20%
C.25%
D.30%
Answer: C.25%
Explanation: Sol. Required change = (20*100)/(100-20)=25%
C
Question: If x and y are positive integers such that x/y = 4.25, which of the following numbers could be y?
A.5
B.4
C.3
D.17
Answer: B.4
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 = 4.25 and because it's in the hundreds decimal place, put the given value (x/y = 4.25/1) and multiply it by 100.
Take the resulting fraction (x/y = 425/100) and reduce it to it's lowest form.
Both of the numbers are divisible by 25.
The result is x/y = 17/4.
Thus y = 4.
The correct answer is B.