RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The number of arrangements that can be made with the letters of the word MEAD so that the vowels occupy the even places?
A.6
B.5
C.4
D.10
Answer: C.4
Explanation: The word MEADOWS has 7 letters of which 3 are vowels.
-V-V-V-
As the vowels have to occupy even places, they can be arranged in the 2 even places in 2! i.e., 2 ways. While the consonants can be arranged among themselves in the remaining 2 places in 2! i.e., 2 ways.
Hence the total ways are 2 * 2 = 4.
Answer:C
Question: The interest on Rs.750 for 2yrs is the same as the True Discount on Rs.960 due 2yrs hence . If the rate of interest is same in both cases,it is:
A.12%
B.14%
C.15%
D.16%
Answer: B.14%
Explanation: Explanation:
S.I on Rs.750= T.D on Rs. 960
This means P.W of Rs. 960 due 2 years hence is Rs.750
Therefore , T.D= Rs. (960 - 750) = Rs. 210
Thus, S.I on Rs. 750 for 2 years is Rs. 210
∴Rate=[100×210/750×2]% = 14%
Answer: B
Question: What is the SI on Rs.8000 from August 6th to Dec 30th at 5% per annum rate of interest?
A.Rs 100
B.Rs 120
C.Rs 140
D.Rs 160
Answer: D.Rs 160
Explanation: Number of days from August 6th to December 30th = 146 days ( we don’t count the given day)
Simple Interest=
PTR
100
= 8000 x
146
365
x
5
100
= Rs 160
D
Question: Replace the ? by the correct Mathematics symbol to make the expression true
10 ? 10 ? 4 ? 7 = 18
A.10 ÷ 10 x 4 - 7 = 18
B.10 x 10 ÷ 4 - 7 = 18
C.10 + 10 ÷ 4 + 7 = 18
D.10 x 10 + 4 - 7 = 18
Answer: B.10 x 10 ÷ 4 - 7 = 18
Explanation: Answer : B
Question: Tanks M and B are each in the shape of a right circular cylinder. The interior of tank M has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank M is what percent of the capacity of tank B?
A.75%
B.80%
C.100%
D.120%
Answer: B.80%
Explanation: B.
For M, r=8/2pi. Its capacity = (4pi)^2 * 10= 160pi
For B, r=10/pi. Its capacity = (5pi)^2 *8 = 200pi
M/B = 160pi/200pi = 0.8
Question: Lloyd normally works 7.5 hours per day and earns $3.50 per hour. For each hour he works in excess of 7.5 hours on a given day, he is paid 1.5 times his regular rate. If Lloyd works 10.5 hours on a given day, how much does he earn for that day?
A.$33.75
B.$42.00
C.$51.75
D.$54.00
Answer: B.$42.00
Explanation: Daily working hour*Regular Rate + Overtime*Increased Rate
7.5*3.5+ 3*3.5*1.5=42
Answer B
Question: To create paint with a certain shade of gray, one must combine 1.5 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?
A.273.6
B.233.3
C.347.1
D.694.4
Answer: B.233.3
Explanation: Since the ratio of Black to White is 1.5 to 1 this implies that Amount of Black is going to be more than (approximately double) the amount of White. This implies Option C, D and E can not be correct.
Now between A and B:
Black:White = 1.5:1 Since the ratio is more than double, the amount of White Paint should be less than half of Black Paint. A is more than half so can not be the answer, B fits the criteria hence should be the correct answer. No calculation needed whatsoever.
Question: Find the simple interest on Rs.300 for 9 months at 6 paisa per month?
A.142
B.152
C.162
D.172
Answer: C.162
Explanation: I = (300*9*6)/100 = 162
ANSWER:C
Question: In one can of mixed nuts, 25% is peanuts. In another can of mixed nuts that is one-half the size of the first one, 40% is peanuts. If both cans are emptied into the same bowl, what percentage of the mixed nuts in the bowl is peanuts?
A.16 2/3%
B.30%
C.25%
D.33 1/3%
Answer: B.30%
Explanation: Can 1: size 1; 25% nuts
Can 2: size 0.5 and 40% nuts
(1x0.25+0.5x0.4)/1.5=30
B
Question: Find the length of the wire required to go 15 times round a square field containing 69696 m2.
A.15840
B.15848
C.15828
D.27892
Answer: A.15840
Explanation: a2 = 69696 => a = 264
4a = 1056
1056 * 15 = 15840
Answer:A
Question: In a panel of 10 light bulbs, the odds of any light bulb to burn out are 0.04 at any given 10 minutes. Should a light bulb burn out, the whole panel would instantly turn off. What are the odds that the panel would be turned off within the first 10 minutes after it was switched on?
A.1-0.04^10
B.1-0.96^10
C.(1-0.96)^10
D.0.06
Answer: B.1-0.96^10
Explanation: ans B.
Prob that light will not turned off = 0.96^10. Hence prob (turn off) = 1 - prob (not turn off).
Question: A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
A.4
B.5
C.6
D.9
Answer: C.6
Explanation: Sol.
Speed of train relative to man = (60 + 6) km/hr = 66 km/hr
= [66 * 5/18] m/sec = [55/3] m/sec.
∴ Time taken to pass the man = [110 * 3/55] sec = 6 sec.
Answer C
Question: Number of prime numbers between 40 and 70 is
A.4
B.5
C.6
D.7
Answer: D.7
Explanation: total 7=41, 43, 47, 53, 59, 61, 67
ANSWER:D
Question: The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
A.22
B.77
C.22
D.64
Answer: D.64
Explanation: r = 3 πr2 = 9
r = 5 πr2 = 25
25 π – 16 π
100 ---- ? => 64%.Answer:D
Question: The cost price of 20 books is the same as the selling price of ’X’ books. If the profit is 28%, then the value of X is ?
A.25
B.13.8
C.16
D.15
Answer: B.13.8
Explanation: let S.P. of X books = Rs 100 = C.P. of 20 books
Therefore, C.P. of one book = Rs 5.6
Profit = 28 %
Therefore, S.P of one book = 7.2
S.P of X articles = 7.2 X
7.2 X = 100 => X = 13.8
ANSWER:B
Question: During a trip, Francine traveled x percent of the total distance at an average speed of 30 miles per hour and the rest of the distance at an average speed of 70 miles per hour. In terms of x, what was Francineâ€™s average speed for the entire trip?
A.(180-x)/2
B.(x+60)/4
C.21,000/(300+4x)
D.600/(115-x)
Answer: C.21,000/(300+4x)
Explanation: E....
X% traveeled at 30 mph
100-X% traveeled at 70 mph
total timt taken = x/30 +(100-x)/70 = (300+4x)/210
Total distance = x+(100-x) = 100
Av speed = Tot Dis/Time Taken which is C
Question: A pipe can fill a cistern in 66 minutes. Find the time in which 1/11 part of the cistern will be filled?
A.5min
B.2min
C.6min
D.1min
Answer: C.6min
Explanation: Full cistern filled in = 66 minutes
1/11 part filled in = 66*1/11 = 6minutes
Answer is C
Question: Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer)
A.3337
B.2782
C.2788
D.4266
Answer: D.4266
Explanation: CI = 14800{ [ 1 + 13.5/100]2 - 1 }
= 14800 { [1 + 27/200]2 - 1
= 14800 { 2 + 27/200}{27/200}
= (74)[2 + 27/200](27) =
1998[2 + 27/200] = 3996 + 269.73 = Rs. 4266
Answer:D
Question: Two pipes can fill a tank in 10 minutes and 25 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
A.30 minutes
B.17 minutes
C.7 minutes
D.10 minutes
Answer: C.7 minutes
Explanation: Part of the filled by all the three pipes in one minute
= 1/10 + 1/25 - 1/45 = (45 + 18 - 10)/450 = 53/450
So, the tank becomes full in 7 minutes.
Answer: C
Question: Working together, 7 identical pumps can empty a pool in 5 hours. How many hours will it take 4 pumps to empty the same pool?
A.4 2/3
B.9 1/4
C.9 1/3
D.8 3/4
Answer: D.8 3/4
Explanation: The answer is D
7 pumps take 5 hours. 1 Pump will take 5*7 hours . Hence 4 pumps will take (5*7)/4 = 8 75/100 = 8 3/4 hours
Question: In a certain conservative mutual fund, 70 percent of the money is invested in bonds, and of that portion, 40 percent is invested in highly rated corporate bonds. If at least $1.4 million in this fund is invested in highly rated corporate bonds, what is the smallest possible total value for the mutual fund?
A.$4 million
B.$5 million
C.$6 million
D.$7 million
Answer: B.$5 million
Explanation: Let x be the total money or value of the mutual fund.
Money in bonds=0.7x
Money in highly rated corporate bond= 0.4*0.7x=0.28x
0.28x > 1.4m
x > 1.4m/0.28 ; x > 140m/28 ; x>10 m/2 ;
so x > 5m
Smallest value is $ 5 million
ANSWER:B
Question: Workers at a campaign office have 2500 fliers to send out. If they send out 1/5 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.800
C.1500
D.1200
Answer: C.1500
Explanation: (1/5)*2500 = 500
Remaining = 2500-500 = 2000
(1/4) of remaining = (1/4)*2000 = 500
Remaining now = 2000-500 = 1500
Answer: Option C
Question: If j < y < -1, which of the following is true?
A.j/y > jy
B.y/j > j+y
C.y/j > jy
D.y/j < j+y
Answer: B.y/j > j+y
Explanation: Consider :
j= -3
y= -2
then put for every option. U'll get ans B.
Question: 12, 34, 10, 11, 12, 5, 6 ,7, 13, 14, ?, ?
Logically, what two numbers should replace the question marks?
A.13 and 11
B.15 and 11
C.19 and 11
D.18 and 11
Answer: B.15 and 11
Explanation: B
15 and 11
1 + 2 + 3 + 4 = 10, then insert next two numbers 11, 12 and add digits
1 + 1 + 1 + 2 = 5.
Insert next two numbers 6, 7 and add digits 6 + 7 = 13. Insert next two numbers 14, 15 and add digits
1 + 4 + 1 + 5 = 11.
Question: If the original mass of an element, in grams, is a whole number and the element has decayed by exactly 91 percent in some time period, which of the following could be the final mass of that element?
A.36 grams
B.28 grams
C.29 grams
D.31 grams
Answer: A.36 grams
Explanation: Let original mass be 100
The final mass of that element will be 9
So whatever option we have it will be divisible by 9
Check for the options the one that doesn't produce non terminating decimal is our answer
A. 36 grams
36/9 = 4
B. 28 grams
28/9 = 3.111.....
C. 29 grams
29/9 = 3.222.......
D. 31 grams
31/9 = 3.444.....
E. 32 grams
32/9 = 3.555..
Answer (A)
Question: An article was sold after a discount of 20% and therewas a gain of 20%. If the profit madeon it was Rs.6 less thanthe discount offered on it, find its SP?
A.Rs. 68
B.Rs. 70
C.Rs. 72
D.Rs. 88
Answer: C.Rs. 72
Explanation: Let CP = Rs. 100x
SP = Rs. 120x
MP = 120x/80 * 100 = Rs. 150x
D = Rs. 150x - Rs. 120x = Rs. 30x
D - P = 30x - 20x = Rs. 6, 10x = Rs. 6
120x = 120/10 * 6 = Rs. 72
C
Question: It would take one machine 6 hours to complete a large production order and another machine 5 hours to complete the same order. How many hours would it take both machines, working simultaneously at their respective constant rates, to complete the order?
A.A 11/30
B.B 11/20
C.C 30/11
D.D 9/10
Answer: C.C 30/11
Explanation: The rate of the first machine is 1/6 job per hour;
The rate of the second machine is 1/5 job per hour;
Thus, the combined rate of the machines is 1/6+1/5=11/30 job per hour, which means that it takes 1/(11/30)=30/11 hours both machines to do the job.
Answer: C.
Question: The number of new words that can be formed by rearranging the letters of the word 'TOO' is?
A.1
B.5
C.11
D.4
Answer: B.5
Explanation: Number of words which can be formed
= 3! - 1 = 6- 1
= 5.
Answer:B
Question: Find the missing number in the given sequence : 2,4,6,8,10,?,14,?
A.11 & 15
B.12 & 16
C.13 & 15
D.12 & 18
Answer: B.12 & 16
Explanation: 2+2=4
4+2=6
6+2=8
8+2=10
10+2=12
12+2=14
14+2=16
ANSWER:B
Question: The sum of how many terms of the series 6 + 12 + 18 + 24 + … is 1800
A.16
B.22
C.24
D.18
Answer: B.22
Explanation: Let the number of terms be N.
Then, according to the formula,
=> 1800 = N/2[2A+(N-1)D] , where A = First-Term, D = Common-Difference.
=> 3600 = N[12 + (N-1)6]
=> 3600 =N[6 + 6N]
=> 6N^2 + 6N - 3600 = 0.
=> 6N^2 + 150N - 144n - 3600 = 0
=> 6N(N + 25)-144(N+25)
=> N = -25, 24
Hence, the number of terms is 24.
ANSWER:B
Question: A train 800 m long can cross an electric pole in 20 sec and then find the speed of the train?
A.87 Kmph
B.97 Kmph
C.72 Kmph
D.144 Kmph
Answer: D.144 Kmph
Explanation: Length = Speed * time
Speed = L/T
S = 800/20
S = 40 M/Sec
Speed= 40 *18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 144 Kmph
Answer: D
Question: The price of a Bicycle was increased by 50 percent. The new price was then increased by 30 percent. A single increase of what percent is equivalent to these two successive increases?
A.80%
B.75%
C.95%
D.85%
Answer: C.95%
Explanation: consider base price - $100
25% increase = 1.50*100 = $150
another 40% increase on new price = 1.3* 150 = $195
so final price of radio - $195
therefore a 95% increase
correct option - C
Question: How long does a train 110 m long running at a speed of 72 kmph take to cross a bridge 132 m in length?
A.9.8 sec
B.12.1 sec
C.12.42 sec
D.14.3 sec
Answer: B.12.1 sec
Explanation: 72 km/hr= 72*5/18 m/sec
= 20 m/sec
time= D/S = 110+132/20
= 242/20
= 12.1 sec
ANSWER:B
Question: A man is 22 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is
A.21 years
B.22 years
C.20 years
D.24 years
Answer: C.20 years
Explanation: Explanation:
Let's Son age is x, then Father age is x+22.
=> 2(x+2) = (x+22+2)
=> 2x+4 = x+24
=> x = 20 years
Option C
Question: If U = V/W, -1 < W < 0 and 4 < V, which of the following is correct?
A.U > 4.
B.0 < U <4.
C.-4 < U < 0.
D.U < -4.
Answer: D.U < -4.
Explanation: V is +veW is -ve
Eliminate AB
For min. value max. numerator and minimize dinominator
take V=4.1U=-0.9
U=4.1/-0.9
U<-4
Ans D
Question: A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
A.32 kmph
B.33 kmph
C.34 kmph
D.35 kmph
Answer: A.32 kmph
Explanation: A
32 kmph
S = (100 + 300)/45 = 400/45 * 18/5 = 32
Question: Ayesha's father was30 years of age when she was born while her mother was 26 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
A.2 years
B.4 years
C.6 years
D.8 years
Answer: D.8 years
Explanation: Mother's age when Ayesha's brother was born = 26 years.
Father's age when Ayesha's brother was born = (30 + 4) years = 34 years.
Required difference = (34 - 26) years = 8 years. Answer: Option D
Question: Set T includes elements {8, 2, 11, x, 3, y} and has a mean of 7 and a median of 5.5. If x < y, then which of the following is the maximum possible value of x?
A.0
B.1
C.2
D.3
Answer: D.3
Explanation: First, reach to the point of getting the equation T : x + y = 18
It should take about 20 seconds.
Then Substitute the answer choices into the equation.
I don't know what the answer choices in this case are.
But I'm sure, you would be able to eliminate at least 2 or 3 answer choices. (about 10 seconds).
Say you are left with 2 answer choices. (If you are short on time, guess One of the two and you'll have a 50% probability of getting it right.)
The Median (of 6 numbers) = 5.5. See if the AVERAGE of any two numbers among (2,3,8,11) results in the median. In this case, it does for 3 and 8. (15 seconds).
Once you know that the numbers that contribute towards Median are 3 and 8, and not x or y, then given x < y, x≤3. (about 10 seconds)=D
Question: If x ¤ y = (x + y)^2 - (x - y)^2. Then √3 ¤ √3 =
A.0
B.5
C.12
D.15
Answer: C.12
Explanation: X = √3 and Y also =√3
Applying the function (√3+√3)^2 - (√3-√3)^2 = (2√3)^2 - 0 = 4 x 3 = 12.
Note: Alternative Approach is the entire function is represented as X^2 - Y^2 = (X+Y)(X-Y) which can be simplified as (x+y+x-y)(x+y-(x-y)) = (2x)(2y)=4xy. Substituting x=√3 and y = √3 you get the answer 12.
Answer C
Question: A book club rented the party room of a local restaurant to meet and discuss its current novel over dinner. The total charge, including food and service, was $800. If each member of the club paid at least $53, then what is the greatest possible number of members in the club?
A.15
B.16
C.17
D.18
Answer: A.15
Explanation: 800/53=15 plus remainder.
The answer is A.
Question: A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?
A.12 cm
B.10 cm
C.18 cm
D.24 cm
Answer: B.10 cm
Explanation: 30 * 20 * x = (8 * 5.5 * 1.5)/2
ANSWER:B
Question: What number is 60 more than two-fourth of itself?
A.180
B.225
C.288
D.324
Answer: A.180
Explanation: 2/4x+60= x
That means 60=2/4x
x= 60*3= 180
A is the answer
Question: One-third of Rahul’s savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
A.Rs. 30,000
B.Rs. 50,000
C.Rs. 60,000
D.Rs. 90,000
Answer: C.Rs. 60,000
Explanation: EXPLANATION
Let savings in N.S.C and P.P.F. be Rs. x and Rs. (150000 – x) respectively. Then,
1/3x=1/2(150000-x)
=> x/3 + x/2 = 75000
=> 5x/6 = 75000
=> x= 75000 x 6 /5= 90000
Savings in Public Provident Fund = Rs. (150000 – 90000) = Rs. 60000
Answer C
Question: In Orange County one fourth of the people are gathering mushrooms and one seventh of the people are collecting apples. What can be the number of people in Orange County?
A.56.
B.42.
C.85.
D.145.
Answer: A.56.
Explanation: The number must be an integer and multiple of both 4 and 7.
Only option A fulfill this condition and hence is the answer.
Question: Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science?
A.18
B.77
C.66
D.55
Answer: A.18
Explanation: S:E = 1:3
E:M = 3:5
------------
S:E:M = 3:9:15
3/27 * 162 = 18
Answer: A
Question: A man sitting in a train which is travelling at 15 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed?
A.52 kmph.
B.62 kmph.
C.97 kmph.
D.80 kmph.
Answer: C.97 kmph.
Explanation: Solution
Relative Speed	= (280 / 9)m/sec
= (280/9 x 18/5)
= 112 kmph.
Speed of the train	= (112 - 15)kmph
= 97 kmph.
Answer C
Question: If (2)^n=(1/2)^2, what is the value of n?
A.-2
B.-1
C.0
D.1
Answer: A.-2
Explanation: (2)^n = (1/2)^2
= (2)^-2
n = -2 (Answer = A)
Question: If a is an odd integer and b is an even integer, which of the following CANNOT be true?
A.a + b is an odd integer.
B.a is a factor of b.
C.b is a factor of a.
D.a^b is an odd integer.
Answer: C.b is a factor of a.
Explanation: a = Odd
b = Even
Checking Options:
A. a + b = odd+even = odd Hence It can be True
B. a is a factor of b. if a=3 and b=6 a may be factor of b Hence It can be True
C. b is a factor of a. and Even Number can NEVER be a factor of an ODD number Hence False hence CORRECT OPTION
D. a^b is an odd integer.
E. b^a is an even integer
Answer: Option C
Question: A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If field has a length that is twice its width, find the area of the field in square meters.
A.20,000 square meters
B.10,000 square meters
C.30,000 square meters
D.40,000 square meters
Answer: A.20,000 square meters
Explanation: Let us first find the distance d jogged
distance = rate * time = (12 km / hr)* 30 minutes
= (12 km/hr)* 0.5 hr = 6 km
The distance of 6 km corresponds to 10 perimeters and therefore 1 perimeter is equal to
6 km / 10 = 0.6 km = 0.6* 1000 meters = 600 meters
Let L and W be the length and width of the field. The length is twice the width. Hence
L = 2 W
The perimeter is 600 meters and is given by
2 (L + W) = 600
Substitute L by 2 W
2 (2 W + W) = 600
Simplify and solve for W
4 W + 2 W = 600
6 W = 600
W = 100
Find L
L = 2 W = 200
Find the area A of the rectangle
A = L * W = 200 * 100 = 20,000 square meters correct answer A
Question: A car travels first half distance between two places with a speed of 40 km/hr and rest of the half distance with a speed of 60 km/hr. The average speed of the car is:
A.48 km/hr
B.42km/hr
C.40 km/hr
D.35 km/hr
Answer: A.48 km/hr
Explanation: Explanation :
Let the total distance covered be S km.
The total time taken is:-
=>S/(2×40)+S/(2×60)=5S/240.
Hence, the average speed = S×240/5S.
=>48 km/hr.
Answer : A
Question: If the time is currently 1:30 pm, what time will it be in exactly 645 hours?
A.9:30 am
B.10:30 am
C.11:30 am
D.12:30 pm
Answer: B.10:30 am
Explanation: 645 = 26(24) + 21/24
The time will be 21 hours later than 1:30 pm which is 10:30 am.
The answer is B.
Question: Which of the following is satisfied with |x-4|+|x-3|<6?
A.1<x<5
B.2<x<5
C.0.5<x<6.5
D.0.5<x<4
Answer: C.0.5<x<6.5
Explanation: --> If there is addition when there are 2 absolute values, you can just ignore the middle. That is, |x-4|+|x-3|<6 -> |x-4+x-3|<6 -> |2x-7|<6, -6<2x-7<6, 1<2x<13, 1/2<x<13/2 ->0.5<x<6.5
Therefore, the answer is C.
Question: A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 1200, then his salary per month in rupees is:
A.4000
B.6000
C.8000
D.10000
Answer: C.8000
Explanation: Total expenditure = 40 + 25 + 15 + 5 = 85%
Saving = (100 - 85) = 15%
15/100 × Salary = 1200, Salary = 8000 Rs.
Answer:C.
Question: The compound and the simple interests on a certain sum at the same rate of interest for two years are Rs.11730 and Rs.10200 respectively. Find the sum?
A.Rs.17029
B.Rs.17028
C.Rs.17000
D.Rs.17008
Answer: C.Rs.17000
Explanation: The simple interest for the first year is 10200/2 is Rs.5100 and compound interest for first year also is Rs.5100. The compound interest for second year on Rs.5100 for one year
So rate of the interest = (100 * 1530)/ (5100 * 1)
= 30% p.a.
So P = (100 * 10200)/ (30 * 2)
= Rs.17000
Answer:C
Question: In a garden, there are 10 rows and 16 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is
A.32 m
B.22 m
C.24 m
D.26 m
Answer: A.32 m
Explanation: Explanation:
Each row contains 16 plants.
There are 15 gapes between the two corner trees (15 x 2) metres and 1 metre on each side is left.
Therefore Length = (30 + 2) m = 32 m.
Answer: A
Question: Goldenrod and No Hope are in a horse race with 6 contestants. How many different Y arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?
A. 720
B. 360
C. 120
D. 24
Answer: B. 360
Explanation: no hope finishing before goldenrod= 1/2 of the times
therefore the different Y arrangements are 1/2* 6! = 360 = B
Question: Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their investments, while two of the children, Dave and Errol, lost 40 percent on their investments. In the second year, Alice and Bob each earned a 10 percent profit, Carol lost 60 percent, Dave earned 25 percent in profit, and Errol lost all the money he had remaining. What percentage of Arthur's fortune currently remains?
A.93%
B.97%
C.100%
D.107%
Answer: A.93%
Explanation: Assume Arthur had $100 and gave each of his children $20, then two years
A=20(1+0.5)(1+0.1)=33
B=20(1+0.5)(1+0.1)=33
C=20(1+0.5)(1-0.6)=12
D=20(1-0.4)(1+0.25)=33
E=0
Arthur's current money=A+B+C+D+E=93
ANSWER:A
Question: A cube of edge 15 cm is imersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20 cm * 15 cm, find the rise in waer level.
A.11.25 cm.
B.12.25 cm
C.13.25 cm
D.14.25 cm
Answer: A.11.25 cm.
Explanation: Sol. Increase in volume = Volume of the cube = (15 * 15 * 15) cm³.
∴ Rise in water level = [Volume/Area] = [15 * 15 * 15/20 * 15] cm = 11.25 cm.
Answer A
Question: An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 9 o'clock in the morning?
A.120°
B.60°
C.30°
D.90°
Answer: C.30°
Explanation: The angle traced by the hour hand in 12 hours is 360°, which is 30° per hour.
In 1 hour, the angle traced by the hour hand is 30°
The answer is C.
Question: A train moves past a post and a platform 264 metre long in 8 seconds and 20 seconds respectively. What is the speed of the train?
A.79.2 km/hr
B.69 km/hr
C.74 km/hr
D.61 km/hr
Answer: A.79.2 km/hr
Explanation: lenghth and speed of the train x m and v m
train crosses the post in 8 sec
x=8v---1)
train crosses the platform in 20 sec
x+264=20v
(2)-(1)+>12v=264
v=264/12=22m/s
22 * 18/5 km/hr = 79.2km/hr
ANSWER A