RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The average age of three boys is 28 years and their ages are in the proportion 4 : 6 : 8. The age of the youngest boy is:
A.21 years
B.18 years
C.14 years
D.9 years
Answer: C.14 years
Explanation: Total age of 3 boys = (28 Ã— 3) years = 84 years. Ratio of their ages = 4 : 6 : 8.
Age of the youngest = (84 Ã— 3â„18) years = 14 years.
Answer C
Question: The number 152 is equal to the sum of the cubes of two integers. What is the product of those integers?
A.8
B.15
C.21
D.27
Answer: B.15
Explanation: Actually, decomposition into factors can easily give you the answer here. You should just do the decomposition of the right thing i.e. the options since they represent the product of those integers.
Since the sum of cubes is 152, the numbers cannot be larger than 5 since 6^3 itself is 216.
21, 27, 39 - The factors are too large so ignore
8 - (2, 4) Does not satisfy
15 - (3, 5) Yes. 3^3 + 5^3 = 152 - Answer
ANSWER:B
Question: Annie has 100 cards numbered 1 through 100. If she deals eight cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers?
A.95!/100!
B.96!/100!
C.(93! X 8!)/100!
D.(96! X 8!)/100!
Answer: C.(93! X 8!)/100!
Explanation: Alex to get 8 consecutive cards in ascending order, to have 8 consecutive at the end is good enough.
There are 93 consecutive numbers in 100: {1, 2, 3, 4, 5,6,7,8}, {2, 3, 4, 5, 6,7,8,9}, ..., {93,94,95,96, 97, 98, 99, 100};
Total ways to pick 8 cards out of 100 is {8!*93!}{100!}.
Answer: C.
Question: The current ages of 3 individuals are in the ratio 4:7:9. 0.8 decades ago, the sum of their ages was 56. Find their current ages in years
A.16, 28, 36
B.17, 28, 39
C.18, 30, 38
D.20, 32, 46
Answer: A.16, 28, 36
Explanation: A
16, 28, 36
Let their current ages are 4A, 7A and 9A years correspondingly.
Then, (4A – 8) + (7A – 8) + (9A – 8) = 56
20A = 80
A = 4
Their current ages are
16 years, 28 years and 36 years correspondingly.
Question: How many solution does the expression x+3−−−−√=xx+3−−−−√x+3=xx+3 has?
A.23
B.27
C.260
D.175
Answer: B.27
Explanation: Squaring on the both sides, x+3=x2(x+3)x+3=x2(x+3)
Bring x+3 to one side and take common, (x2−1)(x+3)(x2−1)(x+3)
So roots are, 1, -1, 3. But -1 is not a root. So 1, -3 are the roots.
(∵∵ when you square the equation additional roots may be generated. So finally you have to check manually, whether the given roots satisfy the original equation or not)
Answer:B
Question: A single discount equivalent to the discount series of 20%, 10% and 5% is?
A.31.2
B.31.2
C.31.6
D.31.3
Answer: C.31.6
Explanation: 100*(80/100)*(90/100)*(95/100)
= 68.4
100 - 68.4
= 31.6
Answer:C
Question: If n is a positive integer, what is the remainder when (4^(4n+3))(6^n) is divided by 10?
A.1
B.2
C.4
D.6
Answer: C.4
Explanation: This one took me bout 3 1/2 min. Just testin numbers and what not.
First notice that n is positive. Save time by noticing thatI worked out one solution where n=0 only to find that thats not an option :p.
1-7 stands for ^1 thru 7
1: 7*1=7
2: 7*7=9
3: 7*9=3
4: 7*3=1
5: 7*1=7
6: 7*7=9
7: 7*9=3
Pattern repeats every @ 5. Notice every ^4 or multiple of 4 is always going to be 1. This is just for future notice for similar problems.
so 7^4n+3 ---> if n=1 then its ((7^7)*6))/10 which can say is going to be 3*8--> 18/10 --> R=8
Now from here if id double check just to make sure.
7^4(2)+3*6^2 ---> 7^11*36 or we can just say again 7^11*6 (b/c we are only interested in the units digit).
Since ^12 is going to be 1 that means ^11 is going to be 3 (as taken from our pattern)
so again 3*6=18/10 ---> R =8.
C or J in this problem.
Question: A certain clock rings two notes at quarter past the hour, four notes at half past, and six notes at three-quarters past. On the hour, it rings eight notes plus an additional number of notes equal to whatever hour it is. How many notes will the clock ring from 1:00 p.m. through 5:00 p.m., including the rings at 1:00 and 5:00?
A.87
B.95
C.102
D.103
Answer: D.103
Explanation: Form 1 PM to 5 PM.
Excluding the actual hour chime we have 20 (1PM)+20(2PM) +20(3PM)+20(4PM) +8 (5PM) = 88
Now the hour chimes are 1+2+3+4+5 = 15
Total = 88+15 = 103
Answer D.
Question: If (A+B) = 4, (B+C) = 7 and (C+D) = 5, what is the value of (A+D)?
A.16.
B.8.
C.7.
D.2.
Answer: D.2.
Explanation: Given A+B = 4
B+C = 7
C+D = 5
(A+B)-(B+C)+(C+D)=(A+D)
=>4 - 7+5 = 2.
Option D...
Question: A man buys an item at Rs. 750 and sells it at the loss of 20 percent. Then what is the selling price of that item
A.Rs. 660
B.Rs. 760
C.Rs. 600
D.Rs. 960
Answer: C.Rs. 600
Explanation: Explanation:
Here always remember, when ever x% loss,
it means S.P. = (100 - x)% of C.P
when ever x% profit,
it means S.P. = (100 + x)% of C.P
So here will be (100 - x)% of C.P.
= 80% of 750
= 80/100 * 750
= 600
Option C
Question: Find the sum of prime numbers lying between 60 and 75.
A.199
B.201
C.211
D.272
Answer: D.272
Explanation: Solution
Required sum	=61 + 67 + 71 + 73
= 272.
Answer D
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 32 hours and 16 hours respectively. The ratio of their speeds is
A.4 : 9
B.4 : 3
C.4 : 12
D.1 : 2
Answer: D.1 : 2
Explanation: Let us name the trains as A and B. Then, (A's speed) : (B's speed) = b : a = 16 : 32 = 1 : 2.Answer: D
Question: 50 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor?
A.14.4
B.180/7
C.50.4
D.64.8
Answer: D.64.8
Explanation: 50% of Area of the floor = 4*9 square feet = 36 square feet
i.e. 100% Area of Floor = (36/50)*100 = 64.8 square feet
Answer: Option D
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
A.10%
B.30%
C.50%
D.40%
Answer: D.40%
Explanation: Explanation :
he total CP = Rs. 16000 + Rs. 6250 = Rs. 22250 and SP = Rs. 31150Profit(%) = (31150 - 22250)/22250 * 100 = 40%
Answer : D
Question: Out of seven consonants and three vowels, how many words can be made so that each word contains two consonants and three vowels?
A.1650
B.1920
C.2240
D.2520
Answer: D.2520
Explanation: 7C2 x 3C3 x 5! = 2520
The answer is D.
Question: What is the 27th digit to the right of the decimal point in the decimal form of 5/11?
A.3
B.4
C.5
D.6
Answer: B.4
Explanation: 5/11 = 0.45454545...
The odd numbered positions in the decimal expansion are all 4.
The answer is B.
Question: In a photography exhibition, some photographs were taken by Octavia the photographer, and some photographs were framed by Jack the framer. Jack had framed 24 photographs taken by Octavia, and 12 photographs taken by other photographers. If 36 of the photographs in the exhibition were taken by Octavia, how many photographs were either framed by Jack or taken by Octavia?
A.36
B.48
C.72
D.96
Answer: B.48
Explanation: The number of photographs either framed by Jack or taken by Octavia = {Jack} + {Octavia} - {overlap} = 36 + 36 - 24 = 48 ({overlap} is green box).
Answer: B
Question: At a local appliance manufacturing facility, the workers received a 40% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?
A.83%
B.28%
C.20%
D.17%
Answer: B.28%
Explanation: Let's say he works usually 40 hours and earns 100 per hour.
10 * 100 = 1000
10 * 140 = 1400 (this are the new earnings after the raise)
To figure out how much he needs to work with the new salary in order to earn the original 1000:
1000/140 = 7.14
So he can reduce his work by 2.86 hours. Which is >28%.
Answer B
Question: A circular path of 16 m radius has marginal walk 3 m wide all round it. Find the cost of leveling the walk at Rs.2 per m2?
A.Rs.660
B.Rs.40
C.Rs.44
D.Rs.42
Answer: A.Rs.660
Explanation: Explanation:
π (19^2 - 16^2) = 22/7 * (361-256) = 330
330 * 2 = Rs.660
Answer: Option A
Question: If n = 2×3×5×7×11×13×15, then which of the following statements must be true?
I. n^2 is divisible by 600
II. n + 19 is divisible by 19
III. (n + 4)/2 is even
A.I only
B.II only
C.I and III
D.III only
Answer: C.I and III
Explanation: Statement I: 600 = (2^3)*(3)*(5^2) this is true.
Statement 2: this is NOT true.
Statement 3: (n+4)/2 = n/2 + 2, So this is true.
Hence option (C).
Question: By giving Rs. 50 to M, A would have the amount equal to what M had earlier. If the sum of the amounts with A and M is Rs. 650. What is the ratio of the amount with A to that with M earlier?
A.7 : 4
B.5 : 3
C.2 : 1
D.7 : 6
Answer: D.7 : 6
Explanation: Explanation:
let the amounts with A and M be Rs. “X” and Rs. “Y” respectively.
Thus, we have, X + Y = 650 and
X – 50 = Y
X – Y = 50.
Hence, X = 350 & Y = 300
Thus the required ratio is 350 : 300 = 7 : 6
ANSWER D
Question: At Amiee’s Pet Shop, 10 cups of bird seed are used every 4 days to feed 6 parakeets. How many cups of bird seed would be required to feed 10 parakeets for 5 days?
A.28.7
B.35.4
C.2 1/2
D.50
Answer: A.28.7
Explanation: Let's go step-by-step.
10 cups are used over a 4 day period, which means 2 1/2 cups a day. This feeds 6 parakeets, which means each parakeet needs .41 of a cup every day.
For 10 parakeets, we need 10*.41cups = 4.10 cups a day. Over 7 days, we need 28.70 cups. Choice A.
Question: If a and b are positive integers and b ≠ 1, then ab(b −1) is
A.ab^2-ab
B.2/b
C.1/b
D.1/a
Answer: A.ab^2-ab
Explanation: Answer : A
Question: The Diagonals of two squares are in the ratio of 2:5. find the ratio of their areas.
A.4:25
B.4:28
C.4:29
D.4:25
Answer: A.4:25
Explanation: Let the diagonals of the squares be 2x and 5x.
Then ratio of their areas will be
Area of square=1/2∗Diagonal2 1/2∗2x2:1/2∗5x24x2:25x2=4:25
Answer: A
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
A.278
B.272
C.892
D.750
Answer: D.750
Explanation: Speed = [90 * 5/18] m/sec = 25 m/sec; Time
= 1 min.
= 60 sec.
Let the length of the train and that of the platform be x meters.
Then, 2x/60 = 25 è x = 25 * 60 / 2
= 750
Answer: D
Question: In a certain lottery drawing, two balls are selected at random from a container with 50 balls, numbered from 1 to 50, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner?
A.$9.85 x 10^6
B.$2.45 x 10^6
C.$1.00 x 10^7
D.$1.05 x 10^7
Answer: B.$2.45 x 10^6
Explanation: The max product of any two balls can be 49 * 50 = 2450 = 2.45 * 10^3
If you multiply it by $1000 the max amount will be 2.45 * 10^6.
B
Question: A man walking at a constant rate of 6 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 12 miles per hour. The woman stops to wait for the man 10 minutes after passing him, while the man continues to walk at his constant rate. How many minutes must the woman wait until the man catches up?
A.5
B.15
C.10
D.20
Answer: C.10
Explanation: When the woman passes the man, they are aligned (m and w). They are moving in the same direction. After 5 minutes, the woman (W) will be ahead the man (M):
m------M---------------W
w
In the 5 minutes, after passing the man, the woman walks the distance mW = wW, which is 10*12/60 =2 miles and the man walks the distance mM, which is 10*6/60 = 1 mile.
The difference of 2 - 1 =1 miles (MW) will be covered by the man in (1)/6 = 1/6 of an hour, which is 10 minutes.
Answer C.
Question: In how many different ways can the letters of the word ‘RED’ be arranged ?
A.0
B.6
C.24
D.120
Answer: B.6
Explanation: B
6
Required number of arrangements = 3! = 6
Question: What is the smallest number which is a perfect square and is divisible by 16, 20 and 24?
A.3600
B.2778
C.2677
D.97Y67
Answer: A.3600
Explanation: Explanation:
3600. The number is perfect square of 60.
It is divisible by 36 24 and 20. Only two numbers 3600 and 7200 fit these conditions.
It is clear that 3600 is the smaller number.
ANSWER: A
Question: Find the number of Zeros in: (1)^1 x (2)^2 x (3)^3 x (4)^4 x ......(99)^99 x (100)^100
A.1200
B.1300
C.1400
D.1500
Answer: B.1300
Explanation: Explanation :
Consider number of 5's only.
(5+10+15+20+50+30+35+40+45+100+55+60+65+70+75+150+80+85+90+95+200)
=1300
Answer : B
Question: What is the area D of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?
A.60.
B.85.
C.125.
D.225.
Answer: D.225.
Explanation: Length of one side= 15 (20-5)
Since, its a square, the area will be D= 15^2= 225
D is the answer
Question: An ice cream cone is three inches tall and its top is a circle with diameter two
inches. The cone is lled with ice cream, such that the interior of the cone is entirely full.
The cone is topped with a hemisphere of ice cream with diameter two inches. What is the
total volume, in cubic inches, of the ice cream in and atop the cone?
A.π
B.4/3 π
C.3/2 π
D.5/3 π
Answer: D.5/3 π
Explanation: The volume consists of that of the cone, plus that of the hemisphere on top. The
volume of a cone of radius r and height h is 1/3πr2h, so with h = 3 and r = 2
2 = 1 this volume
is 1
312 3 = . The volume of a sphere of radius r is 4
3r3, and we have half this, or 2
3: The
total volume is 5/3 π
correct answer D
Question: On a certain day, Tim invested $600 at 10 percent annual interest, compounded annually, and Lana invested 1,000 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investment in the first 2 years?
A.$5.5
B.$15.5
C.$23.5
D.$100
Answer: C.$23.5
Explanation: Compounded annually means that the interest is applied once per year. One can have 10% annual interest compounded monthly - in this case 10%/12 would be applied each month, or 10% annual interest compounded daily etc.
With respect to the problem at hand, at the end of two years, Tim would have
600(1.10)^2 = 600(1.21) = 726
and Lana would have
1,000(1.05)^2 = 1,000(1.1025) = 1102.5
Thus, Tim earned 126 dollars, while Lana earned 102.5 dollars
The difference is $23.5 and the answer is C.
Question: Pipe A can fill a tank in 20 hours, pipe B in 20 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
A.2
B.2.5
C.7
D.7.5
Answer: D.7.5
Explanation: Sol.
Part filled by (A + B + C) in 1 hour = (1/20 + 1/20 + 1/30) = 2/15.
âˆ´ All the three pipes together will fill the tank in 7.5 hours.
Answer D
Question: Given f(x) = 3x – 5, for what value of x does 2*[f(x)] – 16 = f(x – 6) ?
A.1
B.4
C.6
D.7
Answer: A.1
Explanation: 2(3x-5)-16 = 3(x-6) - 5
3x = 3
x = 1
The answer is A.
Question: How many positive integers less than 100 have a remainder of 11 when divided by 13?
A.11
B.7
C.8
D.9
Answer: A.11
Explanation: We have to include 11 also.As 13*0 + 11=11
If somebody says to divide 11 by 13 ,we will be telling we have 0 quotient and remainder as 11.
Answer is A
Question: If the perimeter of square region E and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3 then the ratio of the area of R to the area of E
A.25:16
B.24:25
C.5:6
D.4:5
Answer: B.24:25
Explanation: We know Perimeter of a square (Pe) = 4*side
Perimeter of a rectangle (Pr) = 2(length+breath)
Let us assume 40 to be the perimeter of the square (since we know each side of a square is equal and the perimeter is divisible by 4, also take in to account the length and breadth of the rectangle is in the ration 2k:3k = 5k; we can assume such a number)
Therefore,
Pe = Pr = 40
Area of the square = 100 sq. units
We know 2(length+breadth) = 40
i.e. length + breadth = 20 (or 5k = 20 given that l:b (or b:l) = 2:3)
Therefore length = 8, breath = 12
Area of the rectangle = 8*12 = 96 sq. units
Question asked = Area of the rectangle : Area of the square = 96:100 ==> 24:25=B
Question: In a certain accounting class of 90 students, 70% of the students took the final exam on the assigned day while the rest of the students took the exam on a make-up date. If the students on the assigned day had an average score of 60%, and the students on the make-up date had an average score of 70%, what was the average score for the entire class?
A.63%
B.64%
C.65%
D.66%
Answer: A.63%
Explanation: 70% of the class scored 60% and 30% of the class scored 70%.
The difference between 60% and 70% is 10%.
The average will be 60% + 0.3(10%) = 63%.
The answer is A.
Question: If the product of the integers j, k, l and m is 770, and if 1 < j< k< l< m, what is the value of j+ m?
A.10
B.13
C.16
D.18
Answer: B.13
Explanation: 770 = 2 * 5 * 7 * 11
So j= 2, k= 5, l= 7, m= 11
j+ m= 2 + 11 = 13
Answer - B
Question: For prime number y, y>3. Which of the following could be the remainder when y^3 is divided by 12?
A.2
B.3
C.4
D.5
Answer: D.5
Explanation: Let’s test the first prime number greater than 3, which is 5.
5^3 = 125
125/12 = 10 remainder 5
Answer: D
Question: It costs $2 for the first 1/4 hour to use the bathroom. After the first ¼ hour it costs $8 per hour. If a certain customer uses the bathroom for 1 hour, how much will it cost him?
A.$8
B.$3
C.$26
D.$7
Answer: A.$8
Explanation: 1 hour = 60 minutes
First 15 min ------> $2
Time left is 45 min...
Now, 60 min costs $ 8
1 min costs $ 8/60
45 min costs $ 8/60*45 => $ 6
So, Total cost will be $6 + $2 => $ 8
The answer will be (A) $ 8
Question: A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
A.9:5
B.2:3
C.4:7
D.5:6
Answer: A.9:5
Explanation: Explanation:
Dog : Hare = (3*3) leaps of hare : 5 leaps of hare = 9 : 5.
Answer: A
Question: Each day, Jane swims a certain number of lengths. On day 1, she swims 8 lengths. Each day, she swims 8 more lengths than the day before. What is the average number of lengths she swims each day in the first week?
A.8
B.16
C.32
D.34
Answer: C.32
Explanation: =8 + 16 + 24 + ... + 56
=8(1+2 + 3 + ...+ 7)/7
=8(7(7+1))/(7*2)
=4(8)
=32
Option C
Question: A single discount equivalent to the discount series of 14%, 10% and 5% is?
A.26.47
B.36.97
C.31.67
D.31.47
Answer: A.26.47
Explanation: 100*(86/100)*(90/100)*(95/100) = 73.53
100 - 73.53 = 26.47
Answer: A
Question: What will be the remainder if 2^300 is divided by 4?
A.1
B.2
C.3
D.4
Answer: D.4
Explanation: D
4
Now if you go on calculating 2^300, you will lose so much time and it might not even be feasible to carry out so long of calculations. Thus we will make use of a trick here. We will calculate the remainder of each power of 2 till we come across a pattern.
2^1 divided by 4 leaves the remainder 2.
2^2 divided by 4 leaves the remainder 0.
2^3 divided by 4 leaves the remainder 0.
2^4 divided by 4 leaves the remainder 0.
You can see that all the following powers of two will be divisible by 4. Therefore the remainder when 2^300 is divided by 4 will be 0 only.
Question: If Re.1 amounts to Rs.9 over a period of 20 years. What is the rate of simple interest?
A.26 2/3 %
B.30 %
C.27 1/2%
D.40 %
Answer: D.40 %
Explanation: Explanation:
8 = (1*20*R)/100
R = 40%
ANSWER IS D
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 49 hours respectively. The ratio of their speeds is?
A.4:7
B.7:3
C.4:9
D.4:4
Answer: B.7:3
Explanation: Let us name the trains A and B.
Then, (A's speed) : (B's speed)
= âˆšb : âˆša = âˆš49 : âˆš9 = 7:3.Answer: B
Question: The radius of a wheel is 24.2 cm. What is the distance covered by the wheel in making 500 resolutions?
A.708 m
B.704 m
C.774 m
D.760.57 m
Answer: D.760.57 m
Explanation: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.
= 500 * 2 * 22/7 * 24.2 = 76057 cm
= 760.57 m
Answer:D
Question: In a house a hall is 20 m long, 15m wide and 5m high. Its interior has to be covered with mat. What will be the total expenditure if it costs Rs. 40 per square m?
A.s.43000
B.s.50000
C.s.57000
D.s.38000
Answer: D.s.38000
Explanation: Length (l) = 20 m, Breadth (b) = 15 m and Height (h) = 5 m
Total area of the hall to be covered with mat = 2(lb + bh + hl)
= 2(20 * 15 + 15 * 5 + 5 * 20)
=2(300 + 75 + 100)
= 2 * 475
= 950 sq. m
Total expenditure = 40 * 950
= Rs.38000
D
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length
A.20 seconds
B.30 seconds
C.40 seconds
D.50 seconds
Answer: C.40 seconds
Explanation: Explanation:
Speed = 45 Km/hr = 45*(5/18) m/sec
= 25/2 m/sec
Total distance = 360+140 = 500 meter
Time = Distance/speed
=500∗2/25=40seconds
Option C
Question: Average weight of 10 people increased by 1.5 kg when one person of 45 kg is replaced by a new
man. Then weight of the new man is
A.50
B.55
C.60
D.65
Answer: C.60
Explanation: Explanation:
Total weight increased is 1.5 * 10 = 15.
So weight of new person is 45+15 = 60
Answer: Option C
Question: A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 50 percent of the drive from the center, what percent of the round-trip has the technician completed?
A.5%
B.10%
C.75%
D.40%
Answer: C.75%
Explanation: The complete round trip consists of driving to the service center and then back home again.
So, once the technician drives to the service center he/she has already competed 50% of the entire trip.
Since the technician completes a portion of the trip back home,the correct answer must be greater than 50%
so 0.5+0.5*0.5=0.75
Answer:
C
Question: 10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.170000, find the cost of a camel?
A.3278
B.2669
C.2770
D.Rs.6800
Answer: D.Rs.6800
Explanation: Cost of the camel = P
10 camels = 24 horses
16 horses = 4 oxen
6 oxen = 4 elephants
10 elephants = Rs.170000
P = Rs.[(24 * 4 * 4 * 170000)/(10 * 16 * 6 * 10)]
P = Rs.(65280000/9600) => P = Rs.6800
Answer: D
Question: In an office in Singapore there are 60% female employees. 50 % of all the male employees are computer literate. If there are total 62% employees computer literate out of total 1500 employees, then the no. of female employees who are computer literate ?
A.630
B.674
C.672
D.960
Answer: A.630
Explanation: Solution: Total employees,
= 1500
Female employees, 60% of 1500.
= (60 *1500) /100 = 900.
Then male employees,
= 600
50 % of male are computer literate,
= 300 male computer literate.
62 % of total employees are computer literate,
= (62 *1500) /100 = 930 computer literate.
Thus, Female computer literate = 930 - 300
= 630
Answer: Option A
Question: There are 192 items that are members of set U. Of these items, 49 are members of set B, 59 are not members of either of set A or set B, and 23 are members of both sets A and B. How many of the members of set U are members of set A ?
A.72
B.85
C.107
D.98
Answer: C.107
Explanation: You had the answer almost right. The x = 84 refers to ONLY set A.
However what's being asked is how many members are part of set A. This will include:
1. Only Set A
2. Set A and Set B
So the answer is Set A = 84+ Set AB = 84+23 = 17
C
Question: 5n - 3 > 12 and 7n - 5 < 44; n must be between which numbers?
A.1 and 8
B.2 and 6
C.0 and 9
D.3 and 7
Answer: D.3 and 7
Explanation: 5n-3 > 12
5n > 15
n > 3
7n-5 < 44
7n < 49
n < 7
So n must be between 3 and 7
3 < n < 7
correct answer D
Question: 4.036 divided by 0.04 gives :
A.100.8
B.100.2
C.100.5
D.100.9
Answer: D.100.9
Explanation: = 4.036/0.04
= 403.6/4
= 100.9
Answer is D.
Question: The positive difference between Sam and Lucy’s ages is a, and the sum of their ages is z. If Lucy is older than Sam, then which of the following represents Lucy’s age?
A.(z - a)/2
B.a - z/2
C.2a + z
D.(z + a)/2
Answer: D.(z + a)/2
Explanation: let Lucy's age be L and sam's age be S
as given,
L-S=a -- 1
L+S=z --2
adding both the equations 2L=a+z
L= (a+z)/2 answer is D