RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Three grades of milk are 1 percent, 2 percent and 5 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 5 percent grade are mixed to give x+y+z gallons of a 3 percent grade, what is x in terms of y and z?
A.y + 3z
B.(y +z) / 4
C.2y + 3z
D.z - 0.5 y
Answer: D.z - 0.5 y
Explanation: Based on the given information, the following equation could be dervied: 1% * x + 2% * y + 5% * z = 3% * (x+y+z) Then use algebra to figure out 2%*x = -1%*y + 2%*z. Thus, x = z - 0.5 y
D
Question: 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
A.56
B.28
C.45
D.24
Answer: D.24
Explanation: D
24
Let the required number of days be x.
Less men, More days (Indirect Proportion)
27 : 36 :: 18 : x <-> 27 x x = 36 x 18
x = (36 x 18)/27
x = 24
Question: A person decided to build a house in 100days. He employed 100men in the beginning and 100 more after 50 days and completed the construction in stipulated time. If he had not employed the additional men , how many days behind schedule would it have been finished?
A.40
B.80
C.50
D.60
Answer: C.50
Explanation: 200 men do the rest of the work in 100-50 = 50days
100 men can do the rest of the work in 50*200/100 = 100days
Required number of days = 100-50 = 50 days
Answer is C
Question: The number 243 has been divided into three parts in such a way that one third of the first part, fourth of the second part and half of the third part are equal. Determine the largest part.
A.108
B.276
C.297
D.266
Answer: A.108
Explanation: Explanation:
It is given that 243 has been divided into 3 numbers x y and z for instance.
Second condition mentioned in the question is:
=> x/3 = y/4 =z/2
Clearly the biggest number is y. So let us solve w.r.t. y.
=> x = 3y/4
=> x =3z/2
=> z = y/2
=> x+y+z = 243
=> y/2 + 3y/4 + y = 243
9y/4 = 243
=> 243*4/9
=> 108
ANSWER: A
Question: A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
A.60 cm2
B.30 cm2
C.45 cm2
D.15 cm2
Answer: B.30 cm2
Explanation: The circumference of the circle is equal to the permeter of the rectangle.
Let l = 6x and b = 5x 2(6x + 5x) = 2 * 22/7 * 3.5
=> x = 1
Therefore l = 6 cm and b = 5 cm Area of the rectangle = 6 * 5 = 30 cm2
14. The area of a square is 40
ANSWER:B
Question: A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
A.87 cm2
B.30 cm2
C.76 cm2
D.26 cm2
Answer: B.30 cm2
Explanation: The circumference of the circle is equal to the permeter of the rectangle.
Let l = 6x and b = 5x 2(6x + 5x) = 2 * 22/7 * 3.5
=> x = 1
Therefore l = 6 cm and b = 5 cm Area of the rectangle
= 6 * 5
= 30 cm2
Answer: B
Question: How many obtuse triangle can be made when one of the side of the triangle is taken between the 1st natural number and 8.
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: 3 triangles can be formed....because we have to take the property that sum of two sides of a triangle should be greater than the third side
ANSWER:C
Question: John deposited $10,000 to open a new savings account that earned 4 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John's account 6 months after the account was opened?
A.$10,100
B.$10,101
C.$10,200
D.$10,201
Answer: C.$10,200
Explanation: john amount is compounded quarterly so the formula is A=P*(1+R/100)^N her p=principle R=rate of interest N=no of terms
rate of interest is 4% for a yr
so for quarter R=4/4=1%
john receive amt after 6 months so there are two quarter
so N=2
Amount A=P(1+R/100)^2
=10000(1+1/100)^2
=10000(1+0.01)^2
=1020
ANSWER:C
Question: What least value must be assigned to * so that the number 63576*2 is divisible by 8?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: Sol.
The given number is divisible by 8, if the number 6x2 is divisible by 8.
Clearly, the least value of x is 3.
Answer C
Question: The total cost of a vacation was divided among 3 people. If the total cost of the vacation had been divided equally among 4 people, the cost per person would have been $40 less. What was the total cost cost of the vacation?
A.$200
B.$300
C.$480
D.$500
Answer: C.$480
Explanation: C for cost.
P price per person.
C= 3*P
C=4*P-160
Substituting the value of P from the first equation onto the second we get P = 160.
Plugging in the value of P in the first equation, we get C= 480. Which leads us to answer choice C
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
A.27 1/2 kmph
B.22 1/2 kmph
C.32 1/2 kmph
D.22 1/1 kmph
Answer: B.22 1/2 kmph
Explanation: 100 --- 10 DS = 10
? ---- 1
75 ---- 15 US = 5
? ----- 1 S = (10 - 5)/2
= 22 1/2 kmph
Answer: B
Question: Winners will be announced the following day at 11 AM Pacific/1 PM Eastern Time.
If A, X, Y, and Z are unique nonzero digits in the equation:
XY
*YX
____
AYZ
And Y > X, the 2-digit number XY = ?
A.13
B.21
C.22
D.24
Answer: C.22
Explanation: The reasoning is as follows:-
B) can't be answer because Y<X
D) can't be answer because it XY x YX will give 4 digit number. Thus wrong
E) can't be answer because it XY x YX will give 4 digit number. Thus wrong
A) can't be answer because it XY x YX will give 3 digit number but the middle digit will not be equal to Y. Thus wrong
C) is the correct answer because Y>xwill give 2 digit numbermiddle digit is Y
C
Question: If x and y are positive odd integers, then which of the following must also be an odd integer?
I. x^(y+1)
II. x(y+1)
III. (y+1)^(x-1) + 1
A.I only
B.II only
C.III only
D.I and III
Answer: A.I only
Explanation: I. x^(y+1)>> (odd)^even=odd
II. x(y+1)>>(odd)*even=even
III. (y+1)^(x-1) + 1>>(even)^even+1>>even+1>> odd if x is not equal to 1 and if x=1 then its (even)^0+1=1+!=2 even.
answer A
Question: Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 0.5% more. She would get how much?
A.9320
B.96288
C.26667
D.1662
Answer: A.9320
Explanation: (8000*3*0.5)/100 = 120
9200
--------
9320
Answer:A
Question: Car A runs at the speed of 100km/hr & reaches its destination in 5hr. Car B runs at the speed of 80 km/h & reaches its destination in 6h. What is the respective ratio of distances covered by Car A & Car B?
A.11 : 5
B.11 : 8
C.13 : 7
D.25 : 24
Answer: D.25 : 24
Explanation: Sol. Distance travelled by Car A = 100 × 5 = 500 km
Distance travelled by Car B = 80 × 6 = 480 km
Ratio = 500/480 = 25 : 24
Answer : D
Question: Sarah is driving to the airport. After driving at 40 miles per hour for one hour, she realizes that if she continues at that same average rate she will be an hour late for her flight. She then travels 50 miles per hour for the rest of the trip, and arrives 30 minutes before her flight departs. How many miles did she drive in all?
A.140
B.340
C.210
D.245
Answer: B.340
Explanation: After driving at 40 miles per hourfor one hour, this distance left to cover is d-40. Say this distance is x miles.
Now, we know that the difference in time between covering this distance at 40 miles per hour and 50 miles per hour is 1+ 1/2 = 3/2 hours.
So, we have that x/40 - x/50 = 3/2 --> 5x/200 - 4x/200 = 3/2 --> x/200 = 3/2 --> x = 300.
Total distance = x + 40 = 340 miles.
Answer: B
Question: Find the odd man out. 187, 264, 386, 473, 682, 781
A.386
B.187
C.781
D.682
Answer: A.386
Explanation: Explanation :
In all numbers except 386, the middle digit is the sum of other two digits.
Answer : Option A
Question: The speed of a train is 110 kmph. What is the distance covered by it in 11 minutes?
A.15 kmph
B.11 kmph
C.88 kmph
D.20 kmph
Answer: D.20 kmph
Explanation: 110 * 11/60
= 20 kmph
Answer:D
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
A.288
B.240
C.88
D.66
Answer: B.240
Explanation: Speed = 54 * 5/18 = 15 m/sec.
Length of the train = 15 * 20 = 300 m.
Let the length of the platform be x m . Then,
(x + 300)/36 = 15 => x = 240 m.
Answer: B
Question: 150 is what percent of 60 ?
A. 250%
B. 20%
C. 50%
D. 200%
Answer: A. 250%
Explanation: 60*x=150 --> x=2.5 -->2.5 expressed as percent is 250%.
Answer: A.
Question: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
A.2.5
B.1.5
C.1.7
D.1.2
Answer: B.1.5
Explanation: 72 --- 9 DS = 8
? ---- 1
45 ---- 9 US = 5
? ---- 1 S = ?
S = (8 - 5)/2
= 1.5
Answer: B
Question: UBA Capital recently bought Brand new vehicles for office use. UBA capital only went for Toyota and Honda and bought more of Toyota than Honda at the ratio of 8:2. If 80% of the Toyota bought and 20% of the Honda bought were SUVâ€™s. How many SUVâ€™s did UBA capital buy in the aforementioned purchase?
A.66%
B.64%
C.68%
D.69%
Answer: C.68%
Explanation: let total no of Vehicles bought be 100, Toyota 80 and Honda 20, so total number of SUV's bought for Toyota and Honda respectively 80* 80/100=64 and 20* 20/100=4
so total 68 SUV's were bought out of 100 Vehicles bought..so required % is 68%
ANSWER:C
Question: When Rahul was born, his father was 32 years older than his brother and his mother was 27 years older than his sister. If Rahul's brother is 6 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born ?
A.10 years
B.9 years
C.8 years
D.7 years
Answer: C.8 years
Explanation: When Rahul was born, his brother's age = 6 years; his father's age = (6 + 32) years = 38 years,
his mother's age = (38 - 3) years = 35 years;
his sister's age = (35 - 27) years = 8 years.
Answer: Option C
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A.176 m
B.187 m
C.175 m
D.150 m
Answer: D.150 m
Explanation: Speed=(60 * 5/18) m/sec
= (50/3) m/sec Length of the train
= (Speed x Time)
= (50/3 * 9) m
= 150 m.
Answer: D
Question: A man covers a distance of 180 Km at 72 Kmph and next 190km at 88 Kmph. what is his average speed For his whole journey of 370 Km?
A.77 Kmph
B.77.15 Kmph
C.77.25 Kmph
D.79 Kmph
Answer: C.77.25 Kmph
Explanation: Formula = 2*F.S*S.P/F.S+S.P
= 2*72*88/88+72
=79.2 Kmph
Option 'C'
Question: In a college the ratio of the numbers of boys to the girls is 8:5. If there are 160 girls, the total number of students in the college is?
A.562
B.356
C.452
D.416
Answer: D.416
Explanation: Let the number of boys and girls be 8x and 5x
Then , 5x = 160
x= 32
Total number of students = 13x = 13*32 = 416
Answer is D
Question: Two dice are tossed once. What is the probability of getting an even number on the first die or a total sum of 10 on the two dice?
A.5/9
B.11/18
C.19/36
D.23/36
Answer: C.19/36
Explanation: There are 36 possible outcomes for two dice.
The number of outcomes with an even number on the first die is 3*6=18.
The number of outcomes with a sum of 10 is 3.
We need to subtract the outcomes that have both an even number on the first die and a sum of 10 because we have counted those outcomes twice. This number of outcomes is 2.
The number of outcomes with either an even number on the first die or a sum of 10 is 18+3-2=19.
The probability is 19/36.
The answer is C.
Question: Three friends A, B and C run around a circular track of length 120 metres at speeds of 5 m/s, 7 m/sec and 15 m/sec, starting simultaneously from the same point and in the same direction. How often will the three of them meet ?
A.Every 60 seconds
B.Every 120 seconds
C.Every 30 seconds
D.None of these
Answer: A.Every 60 seconds
Explanation: Explanation :
A and B will meet for the first time in:
=>(Circumference of track/relative speed) seconds
=>120/2 = 60 seconds.
This also means that A and B will continue meeting each other every 60 seconds.
When B and C will meet for the first time.
B and C will meet for the first time in 120/8=15 seconds.
This also means that they will meet every 15 seconds after they meet for the first time i.e. A and B meet every 60 seconds and multiples of 60 seconds and B and C meet every 15 seconds and multiples of 15 seconds.
The common multiples to both these time, will be when A and B and B and C will meet i.e. when A, B and C will meet.
The common multiple of 60 and 15 will be 60,120,180 etc. i.e. they will meet every 60 seconds.
Answer : A
Question: The speed of a car is 100 km in the first hour and 60 km in the second hour. What is the average speed of the car?
A.12
B.75
C.80
D.54
Answer: C.80
Explanation: S = (100 + 60)/2
= 80 kmph
Answer: C
Question: If the sum of two numbers is 24 and the sum of their squares is 400, then the product of the numbers is
A.40
B.44
C.80
D.88
Answer: D.88
Explanation: according to the given conditions x+y = 24
and x^2+y^2 = 400
now (x+y)^2 = x^2+y^2+2xy
so 24^2 = 400 + 2xy
so xy = 176/2 = 88
ANSWER:D
Question: If Rosé reads at a constant rate of 3 pages every 5 minutes, how many seconds will it take her to read N pages?
A.100
B.2N
C.5/2*N
D.24N
Answer: A.100
Explanation: Rose would read 1 page in 5/3 min
Rose would read N page in (5/3)*N min i.e. (5/3)*N*60 Seconds = 100N Seconds.
Option A is the correct Answer.
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 70 kg. What is the weight of the new person?
A.90
B.65
C.85
D.95
Answer: A.90
Explanation: Total increase in weight = 8 × 2.5 = 20
If x is the weight of the new person, total increase in weight = x−70
=> 20 = x - 70
=> x = 20 + 70 = 90
Answer is A.
Question: When Rahul was born, his father was 30 years older than his brother and his mother was 24 years older than his sister. If Rahul's brother is 6 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born ?
A.10 years
B.7 years
C.8 years
D.9 years
Answer: D.9 years
Explanation: When Rahul was born, his brother's age = 6 years; his father's age = (6 + 30) years = 36 years,
his mother's age = (36 - 3) years = 33 years;
his sister's age = (33 - 24) years = 9 years.
Answer: Option D
Question: Arun and Tarun can do a work in 10 days.After 4 days tarun went to his village.How many days are required to complete the remaining work by Arun alone.Arun can do the work alone in 50 days.
A.16 days.
B.17 days.
C.18 days.
D.30 days.
Answer: D.30 days.
Explanation: They together completed 4/10 work in 4 days.
balance 6/10 work will be completed by Arun alone in 50*6/10 = 30 days.
ANSWER:D
Question: Which of the following is a prime number ?
A.33
B.81
C.97
D.93
Answer: C.97
Explanation: C
97
Clearly, 97 is a prime number.
Question: If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 40, what is the compound interest on the same sum at the rate and for the same time?
A.s. 41.00
B.s. 51.22
C.s. 51.219
D.s. 41.18
Answer: A.s. 41.00
Explanation: Explanation:
Sum = (40 * 100) / (2 * 5) = Rs. 400
Amount = [400 * (1 + 5/100)2] = Rs. 441
C.I. = (441 - 400) = Rs. 41
Answer:A
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?
A.6620
B.3378
C.2768
D.2999
Answer: A.6620
Explanation: A = 20000(11/10)3
= 26620
= 20000
----------
6620
Answer: A
Question: (1/5)^e * (1/4)^18 = 1/(2(10)^35). What is e?
A.17
B.18
C.34
D.35
Answer: D.35
Explanation: We need to arrive at a common base. -->
(5)^(-e) * 2^(-36) = 2^(-36)*5^(-35)
5^(-e)=5^(-35)
-e=-35
e=35=D
Question: An integer is said to be “diverse” if no two of its digits are the same. For example, 327 is “diverse” but 404 is not. How many “diverse” two digit numbers are there ?
A.70
B.72
C.81
D.90
Answer: C.81
Explanation: A two digit number has to be formed from digits 0 to 9 such that unit's digit and ten's digit are not same.
The unit's digit can have 10 values from 0 to 9.
Ten's digit can have 9 values from 1 to 9
So total number of two digit numbers will be 9 x 10 = 90
But there are 9 numbers which are not diverse.
11,22,33,44,55,66,77,88,99
so, the number of diverse two digit numbers will be 90-9 = 81
Answer:- C
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 3 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?
A.15
B.30
C.43
D.45
Answer: A.15
Explanation: Ans.(A)
Sol. Number of choices to go by ship = 3 Number of choices to return by airline = 5 From, fundamental principle, total number of ways of performing the journey = 3 x 5 = 15 ways
Question: If m is 3 more than a multiple of 5 and 2 more than a multiple of 6, which of the following could be m?
A.14
B.28
C.58
D.68
Answer: D.68
Explanation: m is 3 more than a multiple of 5 i.e. m = 5a+3
m is 2 more than a multiple of 6 i.e. m = 6b+2
Just check option
A. 14 when divided by 5 leaves remainder 4 instead of 3 hence incorrect option
B. 28 when divided by 5 leaves remainder 3 and when divided by 6 leaves remainder 4 instead of 2 hence Incorrect option
C. 58 when divided by 5 leaves remainder 3 and when divided by 6 leaves remainder 4 instead of 2 hence Incorrect option
D. 68 when divided by 5 leaves remainder 3 and when divided by 6 leaves remainder 2 hence Correct option
E. 74
Answer: Option D
Question: Sakshi can do a piece of work in 25 days.Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work :
A.15
B.20
C.18
D.25
Answer: B.20
Explanation: Solution
Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4 .
Suppose Tanya taken x days to do the work.
5 : 4 : : 25 : x ⇒ x = (25x4/5) ⇒ x = 20 days.
Hence,Tanya takes 16 days is complete the work.
Answer B
Question: In a college, 71 percent of students Play Football, 76 percent of students Play Hockey, 86 percent Play Basket Ball and 81 percent Play Volleyball.
Can you find out the percentage of students who study all 4 Games?
A.14%
B.10%
C.16%
D.18%
Answer: A.14%
Explanation: A
14% of student Play all four Games.
Question: At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?
A.30 points
B.20 points
C.10 points
D.12 points
Answer: C.10 points
Explanation: a:b=60:45
a:c=60:40
b/a *a/c=45/60 *60/45=45/40=90/80 so 10 points
ANSWER:C
Question: 12 is subtracted from 95% of a number, the result is 178. Find the number?
A.200
B.240
C.198
D.190
Answer: A.200
Explanation: (95/100) * X â€“ 12 = 178
9.5X = 1900
X = 200
Answer:A
Question: A invested $50 in a business and B invested $100 in a business. At the end of the year they got $150 as the profit. Find their share?
A.$50,$100
B.$150,$250
C.$210,$130
D.$120,$150
Answer: A.$50,$100
Explanation: A:B = 50:100
A:B = 1:2
A's share = 150*1/3 = $50
B's share = 150*2/3 = $100
Answer is A
Question: The sum of two consecutive number is 115. Which is the larger number?
A.42
B.58
C.44
D.45
Answer: B.58
Explanation: Let consecutive number be x, x+1
Therefore sum of the consecutive number is x + x+1=115
2x+1=115
2x=114
x=57
Therefore larger number is x+1=58
ANSWER:B
Question: Of the three numbers, the first is twice as second and three times the third. The average of the three numbers is 77, and the three numbers in order are?
A.116,58,36
B.98,49,33
C.126,63,42
D.108,54,36
Answer: C.126,63,42
Explanation: Explanation :
Solution: Let A =x,
B =x/2, C = x/3.
=x + x/2 + x/3 / 3 = 77
By solving we will get x = 126.
Hence A= 126
B= 126/2= 63
C= 126/3 = 42
Answer : C
Question: The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube?
A.3 dm
B.4 dm
C.5 dm
D.6 dm
Answer: D.6 dm
Explanation: 33 + 43 + 53 = a3 => a = 6
ANSWER:D
Question: IF
1= N
2= W
3= H
4= O
5= I
THEN 6=?
A.I
B.J
C.K
D.L
Answer: A.I
Explanation: IF
1= N... Second letter of ONE.
2= W.... Second letter of TWO.
3= H
4= O
5= I
THEN 6=I ... Second letter of SIX.
ANSWER:A
Question: The average of first 10 even numbers is?
A.8
B.92
C.83
D.11
Answer: D.11
Explanation: Explanation:
Sum of 10 even numbers = 10 * 11 = 110
Average = 110/10 = 11
Answer: Option D
Question: I chose a number and divide it by 5. Then I subtracted 154 from the result and got 6. What was the number I chose?
A.800
B.237
C.2765
D.288
Answer: A.800
Explanation: Let xx be the number I chose, then
x5−154=6x5−154=6
x5=160x5=160
x=800
Answer:A
Question: A train passes a man standing on a platform in 8 seconds and also crosses the platform which is 273 metres long in 20 seconds. The length of the train (in metres) is:
A.182
B.176
C.175
D.96
Answer: A.182
Explanation: Explanation:
Let the length of train be L m.
Acc. to question
(273+L)/20 = L/8
2184+8L=20L
L= 2184/12 = 182 m
Answer A
Question: Two trains of length 120 m and 300 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
A.21 sec
B.32 sec
C.82 sec
D.20 sec
Answer: A.21 sec
Explanation: Relative speed = (42 + 30) * 5/18 = 4 * 5 = 20 mps.
Distance covered in passing each other = 120 + 300 = 420m.
The time required = d/s = 420/20 = 21 sec.
Answer:A
Question: At a certain health club, 30 percent of the members use both the pool and sauna, but 30 percent of the members who use the pool do not use the sauna. What percent of the members of the health club use the pool?
A.33 1/3%
B.40%
C.53 11/13%
D.62 1/2%
Answer: C.53 11/13%
Explanation: P = pool S = sauna
given P+S = 30 then let only S be x and only P will be 100 - (30+x) = 70 -x
30% of (70-x) = x => 21 - 0.3x = x => x = 16 2/13% so only P = 70 -x = 53 11/13%
Answer C
Question: An air-conditioning unit costs $470. On December there was a discount for Christmas of 16%. Six months later, the holiday season was over so the company raised the price of the air-conditioning by 15%. How much will an air-conditioning unit cost in November?
A.$454
B.$470
C.$472
D.$484
Answer: A.$454
Explanation: if its previous November (before discount) then price is $470.
but if its November of next year then
16% discount on $470=470(1-16/100)=$394.8
again a corrected raised price of 15% over $394.8=394.8(1+15/100)=454.02~$454
Ans A
Question: The salaries of A and B together is Rs. 14,000. A spend 80% of his salary and B spends 85% of his salary. What is the salary of B if their savings are equal?
A.Rs. 6,000
B.Rs. 8,000
C.Rs. 7,500
D.Rs. 6,500
Answer: B.Rs. 8,000
Explanation: Let the salaries of A and B are X and Y respectively
X + Y = 14,000
Savings of A = 20X/100 = Savings of B = 15Y/100
X = ¾ Y
3/4Y + Y = 14,000, 7Y/4 =14,000, Y =8,000
ANSWER:B
Question: A sum of Rs. 2040 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B’s share is:
A.Rs. 120
B.Rs. 160
C.Rs. 240
D.Rs. 360
Answer: D.Rs. 360
Explanation: EXPLANATION
Let C’s share = Rs. x
Then, B’s share = Rs. x/4 , A’s share = Rs. (2/3 x x/4 ) = Rs. x/6
=x/6 + x/4 + x = 2040
=> 17x/12 =2040
=> 2040 x 12/ 17 = Rs.1440
Hence, B’s share = Rs. (1440/4) = Rs. 360.
Answer D
Question: Each student at a certain business school is assigned a 8-digit student identification number. The first digit of the identification number cannot be zero, and the last digit of the identification number must be prime. How many different student identification numbers can the school create?
A.9,000
B.3,600
C.36,000,000
D.2,592
Answer: C.36,000,000
Explanation: The identification number is of the form _ _ _ _
1. First digit cannot be 0
2. Middle digits can be anything
3. Last digit has to be prime - 2, 3, 5, 7
We can have the following number of possibilities for each space
__ __ __ __
9 10 10 10 10 10 10 4
Total cases = 36,000,000
Option C