RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: 30% of the men are more than 25 years old and 80% of the men are less than or equal to 50 years old. 20% of all men play football. If 20% of the men above the age of 50 play football, what percentage of the football players are less than or equal to 50 years?
A.60%
B.80%
C.50%
D.90%
Answer: B.80%
Explanation: Explanation:
Let total number of men = 100
Then
80 men are less than or equal to 50 years old
(Since 80% of the men are less than or equal to 50 years old)
=> 20 men are above 50 years old (Since we assumed total number of men as 100)20% of the men above the age of 50 play football⇒Number of men above the age of 50 who play football = 20 × 20/100 = 4
Number of men who play football = 20 (Since 20% of all men play football)
Percentage of men who play football above the age of 50 = 420 × 100 = 20%
=>Percentage of men who play football less than or equal to the age 50 = 100% − 20% = 80%
Answer: Option B
Question: Set A: 3, e, 8, 10
Set B: 4, y, 9, 11
The terms of each set above are given in ascending order. If the median of Set A is equal to the median of Set B, what is the value of y – e?
A.-2
B.-1
C.0
D.1
Answer: B.-1
Explanation: So we have even no. of elements in the Set
So median is the average of Middle two numbers
(e+8)/2= (y+9)/2
y - e= -1
Answer B
Question: A woman and a girl complete a work together in 24 days. If for the last 6 days woman alone does the work then it is completed in 26 days. How long the girl will take to complete the work alone?
A.days
B.days
C.days
D.days
Answer: A.days
Explanation: Explanation:
(woman + girl )’s 1 day’s work = 1/24
Their 20 day’s work = 1/24 × 20 = 5/6
The remaining 1/6 work is done by the woman in 6days
Therefore, the woman alone will finish the work in 6 × 6 days = 36 days
woMan’s 1 day’s work = 1/36
Therefore, girl 1 day’s work = 1/24 – 1/36 = 3 – 2 /72 = 1/72
Therefore, the girl alone will finish the work in 72 days.
Answer: Option A
Question: The average weight of 20 persons sitting in a boat had some value. A new person added to them whose weight was 48 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 20 persons?
A.55
B.56
C.57
D.58
Answer: C.57
Explanation: 20x + 48 = 21(x – 5)
X=57
ANSWER:C
Question: There were 35 students in a hostel. Due to the admission of 7 new students, the expenses of mess were increased by 42 per day while the average expenditure per head diminished by 1. What was the original expenditure of the mess?
A.400
B.420
C.445
D.465
Answer: B.420
Explanation: Let the original average expenditure be `x.
Then,
42(x – 1) – 35x = 42 ⇔ 7x = 84 ⇒ x = 12.
∴ Original expenditure = (35 × 12)= 420.
Answer B
Question: Mike needs 30% to pass. If he scored 212 marks and falls short by 16 marks, what was the maximum marks he could have got?
A.643
B.677
C.760
D.767
Answer: C.760
Explanation: If Mike had scored 16 marks more, he could have scored 30%
Therefore, Mike required 212 + 16 = 228 marks
Let the maximum marks be m.
Then 30 % of m = 228
(30/100) × m = 228
m = (228 × 100)/30
m = 22800/30
m = 760
Answer:C
Question: If A is thrice as fast as B and together can do a work in 24 days. In how many days A alone can do the work?
A.36
B.42
C.28
D.32
Answer: D.32
Explanation: A’s one day’s work= 1/X
B’s one day’s work= 1/3x
A + B’s one day’s work= 1/x + 1/3x = 1/24
= 3+1/3x = 4/3x = 1/24
x = 24*4/3 = 32
ANSWER:D
Question: At Joel’s bookstore, the current inventory is 30% historical fiction. Of the historical fiction books, 40% are new releases, while 50% of the other books are new releases. What fraction of all new releases are the historical fiction new releases?
A.4/25
B.12/47
C.2/5
D.8/15
Answer: B.12/47
Explanation: let there be 100 books in all
Historic fiction books = 30% of total = 30
Other books = 70
New historic fiction = 40% of 30 = 12
Other new books = 50% of 70 = 35
total new books = 35+12 = 47
fraction = 12/47
Ans: B
Question: In a group of Houses,40 had dogs,30 had cats and 10 houses having both dogs and cats. what is the number of houses?
A.30
B.60
C.40
D.45
Answer: B.60
Explanation: Make a Venn diagram, and enter your data.
Let the number of houses be x
30+10+20=x
x = 60
so number of houses were = 60
Answer B
Question: A transport company's vans each carry a maximum load of 13 tonnes. 12 sealed boxes each weighing 9 tonnes have to be transported to a factory. The number of van loads needed to do this is
A.38
B.12
C.98
D.27
Answer: B.12
Explanation: Explanation:
12 as all boxes are sealed.
Answer: B
Question: Look at this series: 88, 88, 78, 78, 68, 68, ... What number should come next?
A.14
B.15
C.58
D.19
Answer: C.58
Explanation: In this series, each number is repeated, then 10 is subtracted to arrive at the next number.
The next number is 58
Answer : C
Question: There are 13 South American countries, Anni has won a ticket to fly from Denver to one South American country and then directly to another South American Country before returning home to Denver again. Assuming there are four airports in each country, how many flights paths can Anni choose from?
A.13.12.11.10.4.4.
B.13.12.11.10.4
C.13.12.4.4.
D.13.12.4
Answer: C.13.12.4.4.
Explanation: flights paths can Anni choose fromThere are 13 ways to chose the first destination,
then, 12 ways to chose next destination, with option of 4 airports (13x4)
then, to return he has 4 options to chose the airports
Thus, 13*12*4*4 ways.
Using permutations:
If the solution had written 13P1 instead of 13C1 it won't matter. As per the definition - making arrangements of the combinations gives permutations.
Since there are no arrangement for 1 item, permutationscombinations are equal.C
Question: If b < 3 and 3x - 3b = 0, which of the following must be true?
A.x > -3
B.x < 2
C.x = 3
D.x < 3
Answer: D.x < 3
Explanation: 3x - 3b = 0
Therefore, 3x = 3b
As, b<3
3x < 3(3)
i.e x < 3
Answer : D
Question: Bucket A is 1/4 full of sand, and Bucket B, which has one-half the capacity of Bucket A, is 3/8 full of sand. Jana pours the contents of Bucket B into Bucket A. Bucket A is now filled to what fraction of its capacity?
A.3/8
B.7/16
C.1/2
D.5/8
Answer: B.7/16
Explanation: let capapcity of a = x
sand = x/4
capacity of b = x/2
sand = 3x/16
A total = x/4 + 3x/16 = 7x/16
ANSWER:B
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
A.125/176
B.125/129
C.125/126
D.125/120
Answer: C.125/126
Explanation: Required probability
= 1 - 1/126
= 125/126
Answer:C
Question: Varma can read a book in k minutes. What part of the book can he read in 8 minutes?(k>8)
A.6/k
B.8/k
C.83k
D.2/k
Answer: B.8/k
Explanation: Part of the book he can read in 1 minute = 1/k
Part of the book he can read in 8 minutes =8/k.
Answer: B
Question: A began business with Rs.27000 and was joined afterwards by B with Rs.36000. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
A.1.5
B.6.5
C.7.5
D.8
Answer: C.7.5
Explanation: 27*12 : 36*x = 2: 1
x = 4.5
12 -4.5 = 7.5
Answer: C
Question: If a Ã— b = 2a - 3b + ab, then 3 Ã— 4 + 4 Ã— 3 is equal to :
A.17
B.23
C.24
D.25
Answer: A.17
Explanation: Explanation:
3 Ã— 4 + 4 Ã— 3 = (2 Ã— 3 - 3 Ã— 4 + 3 Ã— 4) + ( 2 Ã— 4 - 3 Ã— 3 + 4 Ã— 3)
= (6 + 8 - 9 + 12) = 17.
Answer: A
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
A.150m
B.278m
C.286m
D.121m
Answer: A.150m
Explanation: Length of the train be ‘X’
X + 150/15 = X + 250/20
4X + 600 = 3X + 750
X = 150m
Answer: A
Question: John wrote a phone number on a note that was later lost. John can remember that the number had 7 digits, the digit 1 appeared in the last three places and 0 did not appear at all. What is the probability that the phone number contains at least two prime digits?
A.15/16
B.11/16
C.11/12
D.1/2
Answer: B.11/16
Explanation: XXXX(1}{1}{1}
X can be a prime number or non prime number
Prime number:2,3,5,7
Non prime-4,6,8,9(1 is already taken)
Probability(X is a Prime number)=4/8=1/2
Probability(X is a non-prime number)=4/8=1/2
So,Atleast 2 prime numbers=P P NP NP=4!/2!2!*1/2*1/2*1/2*1/2=6/16
Three prime numbers and one Non prime=P P P NP=4!/3!*1//2^4=4/16
All prime=PPPP=1/16
Total=11/16.
Answer:B
Question: Which of the following could be the value of x, if |4x – 2| = 10?
A.-3
B.-2
C.1
D.2
Answer: B.-2
Explanation: |4x – 2| = 10
=> 4x - 2 = 10
or 4x - 2 = -10
=> 4x = 12 or 4x = -8
=> x = 3 or x = -2
Answer B
Question: A boat having a length 6 m and breadth 3 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
A.100 kg
B.120 kg
C.89 Kg
D.180 Kg
Answer: D.180 Kg
Explanation: Volume of water displaced	= (6 x 3 x 0.01) m3
= 0.18 m3.
Mass of man = Volume of water displaced x Density of water
= (0.18 x 1000) kg
= 180 kg.
Answer: D
Question: Walking with 4/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time?
A.30 min
B.20 min
C.25 min
D.40 min
Answer: B.20 min
Explanation: Speed Ratio = 1:4/5 = 5:4Time Ratio = 4:51 -------- 5 4 --------- ? 20
ANSWER B
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
A.1000
B.3329
C.2776
D.2988
Answer: A.1000
Explanation: 90%
104%
--------
14% ---- 140
100% ---- ? => Rs.1000
Answer: A
Question: Twelve years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages
A.A)35
B.B)34
C.C)42
D.D)25
Answer: C.C)42
Explanation: Explanation:
Let the present age of P and Q be 3x and 4x respectively.
Twelve years ago, P was half of Q in age
=> 2(3x – 12) = (4x – 12)
=> 6x – 24 = 4x – 12
=> 2x = 12
=> x = 6
7x = 7*6 = 42
Answer: Option C
Question: The average of five consecutive odd numbers A, B, C, D and E is 25. What percent of E is C ?
A.86.2
B.87.5
C.56.8
D.88.9
Answer: A.86.2
Explanation: Explanation :
In such a case the middle number (C) is the average
∴ C = 25 and F = 29
Required percentage = 25/29 x 100 = 86.2
Answer : Option A
Question: The ratio 3 : 5 expressed as a percent equals
A.60%
B.40%
C.80%
D.125%
Answer: A.60%
Explanation: Solution
3 : 5	= 3/ 5
= (3 / 5 x 100)%.
= 60 %.
Answer A
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is -
A.1/10
B.9/10
C.1/5
D.3/10
Answer: C.1/5
Explanation: Explanation:
10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!
Required probability = 1/5
ANSWER IS C
Question: Two trains start at same time from two stations and proceed towards each other at the rate of 20 km/hr and 25 km/hr respectively. When they meet, it is found that one train has traveled 50 km more than the other. What is the distance between the two stations?
A.540 km
B.767 km
C.276 km
D.450 km
Answer: D.450 km
Explanation: Explanation:
Let us assume that trains meet after 'x' hours
Distance = speed * Time
Distance traveled by two trains = 20x km and 25x km resp.
As one train travels 50 km more than the other,
25x â€“ 20x =50
5x = 50
x = 10 hours
As the two trains are moving towards each other, relative speed = 20 + 25 = 45 km/hr
Therefore, total distance = 45*10 = 450 km.
ANSWER: D
Question: If Josh, Doug, and Brad have a total of $77 between them, and Josh has three times as much money as Brad but same as much as Doug, how much money does Doug have?
A.$8
B.$9
C.$27
D.$33
Answer: D.$33
Explanation: Josh + Doug + Brad = 77 ; Joush = 3 brad, Josh = Doug
Josh +1/3 Josh+ Josh = 77 (substituted the given values)
Josh = 33. 33=Doug =33
Answer is D.
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is
A.14 years
B.18 years
C.20 years
D.22 years
Answer: D.22 years
Explanation: Solution
Let the son's present age be x years .Then, man's present age	= (x+24)years.
Then	‹=›(x+24)+2= 2(x+2)
‹=›x+26=2x+4
x= 22.
Answer D
Question: 8 : 4 seconds :: ? : 4 minutes
A.10
B.8
C.20
D.25
Answer: B.8
Explanation: 8*4=4*x
x=8
ANSWER:B
Question: David invested certain amount in three different schemes. A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in scheme C was 150% of the amount invested in scheme A and 240% of the amount invested in scheme B, what was the amount invested in scheme B?
A.5000
B.3677
C.2977
D.2678
Answer: A.5000
Explanation: Let x, y and z be the amount invested in schemes A, B and C respectively. Then,
(x * 10 * 1)/100 + (y * 12 * 1)/100 + (z * 15 * 1)/100 = 3200
10x + 12y + 15z = 320000
Now, z = 240% of y = 12/5 y
And, z = 150% of x = 3/2 x
x = 2/3 z = ( 2/3 * 12/5) y = 8/5 y
16y + 12y + 36y = 320000
y = 5000
Sum invested in scheme B = Rs. 5000.
Answer: A
Question: The perimeter of a square is 48 cm. The area of a rectangle is 4 cm2 less than the area of the square. If the length of the rectangle is 14 cm, then its perimeter is
A.42
B.48
C.52
D.56
Answer: B.48
Explanation: Side of the square = 12 cm. Area of the rectangle = [(12 x 12) Ã¢â‚¬â€œ 4]
cm2 = 140 cm2
Now, area = 140 cmÂ², length = 14 cm.
Breadth = A/L = 140/14 cm. = 10 cm.
Hence, Perimeter = 2 (l + b) = 2 (14 + 10) cm = 48 cm.
Answer :B
Question: The LCM and HCF of two numbers are 8 and 48 respectively. If one of them is 24, Find the other ?
A.12
B.14
C.15
D.16
Answer: D.16
Explanation: HCF x LCM = Product of Numbers
8 x 48 = 24 x the other number
other number = (8 x 48) / 24
other number = 16
ANSWER : D
Question: In March, Kurt ran an average of 1.5 miles an hour. If by June he had increased his pace by 20 seconds per mile, then which of the following expresses the number of hours it would take Kurt to complete one mile in June?
A.2380/60^2
B.2410/60^2
C.2390/60^2
D.3586/60
Answer: A.2380/60^2
Explanation: Kurt ran at an average of 1.5 miles/hour in march. So to run 1 mile he would take 1/1.5 hours = (60 * 60)/1.5 seconds = 2400 seconds.
If he increases his speed by 20 seconds, he will complete a mile in 2380 seconds. Converting in hours = 2380/(60 * 60) = 2380/(60^2)
ANSWER: A
Question: 8 people decided to split the restaurant bill evenly. If the bill was $214.15 dollars, how much money did they 1 cent is the smallest unit?
A.$214.16
B.$214.17
C.$214.18
D.$214.19
Answer: A.$214.16
Explanation: If the last three digits of a whole number are divisible by 8, then the entire number is divisible by 8
the last 3 digit 415 not divisible by a
Hence, we need to add 1 to this number for it to be divisible by 8
Correct Option: A
Question: In how many ways a committee, Consisting of 2 men and 6 women can be formed from 8 men and 10 women?
A.2660
B.5880
C.11760
D.5040
Answer: B.5880
Explanation: To choose Required number of ways to form a committee:
Select 2 men out of 8 men and 6 women out of 10 women.
That is 8C2 * 10C6.
8C2=8!/2!*6!=28
10C6=10!/6!*4!
=210
The Required number of ways=210*28=5880
B
Question: what is the least number. which should be added to 0.0320 to make it a perfect square?
A.0.0005
B.0.0004
C.0.0006
D.0.0002
Answer: B.0.0004
Explanation: 0.0320+0.0004=0.0324
(0.18)^2
ANSWER:B
Question: If 16% of 40% of a number is 3, then the number is
A.200
B.225
C.46.875
D.320
Answer: C.46.875
Explanation: Explanation:
Let 16/100×40/100×a=3
a = 3×100×100/16×40=46.875
Correct Option: C
Question: If a > 0 and b < 0, which of the following are true?
I. a/b < 0
II. b/a < 0
III. a + b < 0
A.I only
B.II only
C.III only
D.I and II only
Answer: D.I and II only
Explanation: I. True, a is positive and b is negative so a/b must be negative
II. True, a is positive and b is negative so b/a must be negative
III. Not true, example: a = 5, b = -3, so a + b = 2
D
Question: A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years?
A.2 : 3 : 4
B.3 : 2 : 4
C.3: 2 : 1
D.3: 4 : 7
Answer: D.3: 4 : 7
Explanation: Sol.
A : B : C = (40000 * 36) : (80000 * 12 + 40000 * 24)
: (120000 * 24 + 40000 * 12) =144 : 192 : 336 = 3: 4 : 7
Answer D
Question: The area of sector of a circle whose radius is 12 metre and whose angle at the center is 42° is?
A.52.7 m2
B.57.8 m2
C.52.8 metre sq
D.72.8 m2
Answer: C.52.8 metre sq
Explanation: 42/360 * 22/7 * 12 * 12
= 52.8 m2
Answer: C
Question: The average of 1st 3 of 4 numbers is 6 and of the last 3 are 5. If the sum of the first and the last number is 11. What is the last numbers?
A.4
B.5
C.6
D.7
Answer: A.4
Explanation: A + B + C = 18
B + C + D = 15
A + D = 11
A – D = 3
A + D = 11
2D = 8
D = 4
ANSWER:A
Question: In a box of 12 pens, a total of 4 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
A.1/6
B.2/33
C.14/33
D.9/16
Answer: C.14/33
Explanation: Method- 1
There are 9 fine pieces of pen and 4 defective in a lot of 12 pens
i.e. Probability of first pen NOT being defective = (8/12)
i.e. Probability of Second pen NOT being defective = (7/11) [11 pen remaining with 8 defective remaining considering that first was defective]
Probability of Both pen being NON-defective = (8/12)*(7/11) = 14/33
Answer: option C
Question: Insert the missing number
1, 8, 27, 64, 125, 216, (....)
A.554
B.343
C.354
D.392
Answer: B.343
Explanation: Series is 1^3,2^3,3^3,4^3,5^3,6^3,7^3
7^3=343
ANSWER:B
Question: If Rahul rows 15 km upstream in 3 hours and 21 km downstream in 3 hours, then the speed of the
stream is
A.5 km/hr
B.4 km/hr
C.2 km/hr
D.1 km/hr
Answer: D.1 km/hr
Explanation: Explanation:
Rate upstream = (15/3) kmph
Rate downstream (21/3) kmph = 7 kmph.
Speed of stream (1/2)(7 - 5)kmph = 1 kmph
Answer: D
Question: Which of following is a leap year ?
A.2000
B.2800
C.1800
D.2600
Answer: B.2800
Explanation: The century year which is completely divisible by 400, is a leap year. Thus, the year 2800 is a leap year.
Answer : B
Question: if Juan takes 12 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
A.11x/y
B.11y/x
C.x/11y
D.12x/y
Answer: D.12x/y
Explanation: Answer is D
The rate of running hards: 12 minutes per y hards.
Thus the time for running x hards = x hards * 12 minutes/y hards = 12x/y
Question: If QR = 3(Q+ 1) + R and Q and R are integers,Q could be any of the following values EXCEPT:
A.2
B.3
C.12
D.4
Answer: C.12
Explanation: QR = 3(Q + 1) + R
QR - R = 3(Q + 1)
R = 3(Q + 1)/(Q-1)
R won't be an integer only if Q = 12 (from the options).
Answer: C
Question: Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What is X's present age in years?
A.35 years
B.17 years
C.77 years
D.88 years
Answer: A.35 years
Explanation: Let the present ages of X and Y be 5x and 6x years respectively.
Then, (5x + 7)/(6x + 7) = 6/7
7(5x + 7) = 6(6x + 7) => x = 7
X's present age = 5x = 35 years.
Answer:A
Question: If 10 and 15 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?
I. 5
II. 15
III. 20
A.I only
B.II only
C.I and II only
D.II and III only
Answer: D.II and III only
Explanation: The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
Let x be the length of the third side.
15-10 < x < 15+10
5 < x < 25
The answer is D.
Question: The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability that exactly two will buy a pack of candy?
A.343
B.147
C.189
D.063
Answer: C.189
Explanation: •P(Buy) = 3/10, P(No Buy) = 7/10
•2 Yes, 1 No = 3/10*3/10*7/10 = 63/1000
•3 Possibilities = YYN + YNY + NYY = 3(63/1000) = 189/1000 = .189%
Answer is C.
Question: Jane bought some pairs of pants on sale for 15% off the original price and received an additional 20% discount for buying three pairs. If one of the pairs of pants cost $10 after both discounts, what was the original price of that pair?
A.$32.26
B.$20.25
C.$20
D.$14.71
Answer: D.$14.71
Explanation: Let f be the original price. Then the first discounted price, g, is given byg = f - 15%fand the second discounted price, h, is given byh = g - 20%gWith h = $10, solve for f$10 = (f - 15%f) - 20%(f - 15%f)f = $14.71Correct answer is D
Question: Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
A.Rs.2000
B.Rs.2028
C.Rs.2020
D.Rs.2720
Answer: A.Rs.2000
Explanation: (10*10)/100 = 1%loss
100 --- 99
? --- 1980 => Rs.2000
Answer:A
Question: In an engineering class that contained 75 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.4
B.6
C.10
D.12
Answer: B.6
Explanation: 1st Question : Three fifths of the students answered the first question correctly - so 3/5âˆ—75=45
2nd Question : four fifths of the remainder answered the second question correctly so 4/5âˆ—(75âˆ’45)=4/5âˆ—30=24
total students who answered at least one Q correct =45+24=69
so students who answered BOTH incorrectly = 75âˆ’69=6
ANSWER:B
Question: What is the total number of prime numbers less than 70?
A.17
B.18
C.19
D.20
Answer: C.19
Explanation: Solution
Prime numbers less than 70 are	=12.
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,and 67
Their number is 19.
Answer C
Question: What amount does Kiran get if he invests Rs.5600 at 9% p.a. compound interest for two years, compounding done annually?
A.6653
B.6500
C.6400
D.5678
Answer: A.6653
Explanation: A= P{1 + R/100}n
=> 5600{1 + 9/100}2
= Rs.6653
Answer: A
Question: A boat can move upstream at 20 kmph and downstream at 35 kmph, then the speed of the current is?
A.5 kmph
B.7.5 kmph
C.8 kmph
D.9 kmph
Answer: B.7.5 kmph
Explanation: US = 20
DS = 35
M = (35 - 20)/2 = 7.5
Answer:B
Question: How many times in a day, are the hands of a clock in straight line but opposite in direction?
A.20
B.22
C.24
D.48
Answer: B.22
Explanation: The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clcok only).
So, in a day, the hands point in the opposite directions 22 times. Answer: Option B
Question: Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1125 as rent for parking his cars, what is the total rent paid by all the four agencies?
A.Rs.6158
B.Rs.6120
C.Rs.6119
D.Rs.6150
Answer: D.Rs.6150
Explanation: The ratio in which the four agencies will be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15
= 180 : 240 : 324 : 240 = 45 : 60 : 81 : 60
Let us consider the four amounts to be 45k, 60k, 81k and 60k respectively.
The total rent paid by the four agencies = 45k + 60k + 81k + 60k= 246k
It is given that A paid Rs. 1125
45k = 1125 => k = 25
246k = 246(25) = Rs. 6150
Thus the total rent paid by all the four agencies is Rs.6150.
Answer:D
Question: Two persons start from two places 160 km apart at the same time with velocities 50 km/hr and 30 km/hr. move in opposite direction. Where they meet ?
A.90 km from A
B.50 km from B
C.100 km from A
D.70 km from B
Answer: C.100 km from A
Explanation: Explanation :
Solution: d = 160, v1 = 50, v2 = 30
relative speed vr = v1 + v2 = 50 + 30 = 80.
the distance covered by them will be indirectly proportional to their distance
of the persons of meeting from A = 160*50/(50+30) km
= 160*5/8 = 100 km.
Answer : C
Question: A rectangular tank needs to be coated with insulation. The tank has dimensions of 3 feet, 5 feet, and 2 feet. Each square foot of insulation costs $20. How much will it cost to cover the surface of the tank with insulation?
A.$1100
B.$1240
C.$1360
D.$1480
Answer: B.$1240
Explanation: The total surface area is 2(2*3 + 3*5 + 2*5) = 62 square feet
The total cost is 62*$20 = $1240
The answer is B.