RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The ratio R, by volume of soap to alcohol to water in a 76 litre solution is 2: 50: 100 . The solution is then altered by adding more soap, alcohol and water.After this alteration the ratio, by volume of soap to water in the solution doubles whereas the ratio, by volume of soap to water remains the same as before. What COULD BE the resulting volume.
A.79 litres
B.78 litres
C.77 litres
D.152 liters
Answer: C.77 litres
Explanation: I guess it should be
the ratio R, by volume ofsoaptowaterin the solutiondoubleswhereas the ratio, by volume ofalocoholtowaterremains thesameas before
2:50: 100 => 1 : 25 : 50. If we add all the parts, we get 76 liters
So we have 1 liters of Soap, 25 liters of Alcohol and 50 liters of Water.
Now as per the Question, Soap : Water doubles but alcohol to water remains the same.
So Soap becomes 2 liters, Alcohol remains 25 liters and Water remains at 50 liters.
Hence 77 liters - Option C)
Question: A dishonest dealer uses a scale of 80 cm instead of a metre scale and claims to sell at cost price. His profit is
A.9%
B.10%
C.25%
D.None of these
Answer: C.25%
Explanation: Solution
Gain%	= (20 / 80 x 100)%
= 25%
Answer C
Question: If an amount of Rs 15,487 is divided equally among
76 students, approximately how much amount will
each student get?
A.Rs 206
B.Rs 210
C.Rs 204
D.Rs 218
Answer: C.Rs 204
Explanation: Amount received by each student = 15487/76 ≈ Rs
204
Answer C
Question: If 89/99 = 0.898, what is the 83rd digit to the right of the decimal point of the fraction?
A.5
B.2
C.8
D.7
Answer: C.8
Explanation: we are not concerned what 89/99 means..
we have to look at the decimal..
0.898 means 0.898989....
so right of decimal, all ODD numbered are 8 and all EVEn numbered are 9..
here 83 is ODD, so ans is 8
Answer is C
Question: There is a swimming match that is single elimination meaning that after one loss the team is out. There are 50 swimmers in this match. How many matches are swam?
A.25
B.50
C.49
D.15
Answer: C.49
Explanation: C
The number of matches always adds up to one less than the number of matches in a single elimination tournament. You may calculate it any way. Therefore, 49 races were swam.
Question: A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
A.238 ways
B.287 ways
C.266 ways
D.108 ways
Answer: D.108 ways
Explanation: Explanation:
The boy can select one trouser in nine ways.
The boy can select one shirt in 12 ways.
The number of ways in which he can select one trouser and one shirt is 9 * 12 = 108 ways.
Answer: D
Question: If A lends Rs. 3500 to B at 10% p.a. and B lends the same sum to C at 11.5% p.a., then the gain of B (in
Rs.) in a period of 3 years is
A.Rs. 154.50
B.Rs. 155.50
C.Rs. 156.50
D.Rs. 157.50
Answer: D.Rs. 157.50
Explanation: Explanation:
We need to calculate the profit of B.
It will be,
SI on the rate B lends - SI on the rate B gets
Gain of B=157.50=3500×11.5×3100−3500×10×3100
Answer: D
Question: A train 200 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
A.5 sec
B.9 sec
C.12 sec
D.18 sec
Answer: C.12 sec
Explanation: Answer : C.
Speed of the train relative to man = (68 - 8) kmph
= (60* 5/18) m/sec = (50/3)m/sec
Time taken by the train to cross the man
= Time taken by It to cover 200 m at 50/3 m / sec = 200 *3/ 50 sec = 12sec
Question: If c = (1/10)a and b = 5c, then which of the following represents the result of a^2+b^2+c^2 in terms of c
A.25c^2
B.56c^3
C.52c
D.126c^2
Answer: D.126c^2
Explanation: a = 10c and b =5c.
a^2+b^2+c^2 = (10c)^2+(5c)^2+c^2 = 126c^2.
Answer is D
Question: Due to 10% decrease in the price of sugar and John can buy 4kg more sugar in Rs100 , then find the CP of sugar?
A.s. 1(2/9)
B.s. 2(7/9)
C.s. 2(1/9)
D.s. 3(2/7)
Answer: B.s. 2(7/9)
Explanation: Here r = 10 % ,x = 100 and A = 4 kg
Actual price of sugar = 10*100/((100-10 )*4) = Rs. 2(7/9)
B
Question: From a group of boys and girls,15 girls leave.There are then left 2 boys for each girl.After this,45 boys leave.There are then 5 girls for each boy.Find the number of girls in the beginning?
A.20
B.30
C.40
D.50
Answer: C.40
Explanation: 15 girls leave,B+(g-15)=0
then,B=2*(g-15)---------------------->>>1
45 boys leave,(b-45)+(g-15)=0
then,(g-15)=5(b-45)
Hence,the number of girls in the beginning are,
5(b-45)-(g-15)=0------------------->>>2
put 1 in 2, we get,
5(2*(g-15)-45)-(g-15)=0
10g-150-225-g+15=0
9g-360=0
9g=360
g=40
ANSWER:C
Question: If x is a positive integer, then the least value of x for which x! is divisible by 100,000 is?
Can someone please explain intuitively what the question is asking?
A.5
B.9
C.12
D.20
Answer: D.20
Explanation: In order x! to be divisible by 1,000, it should have at least 3 trailing zeros. A trailing 0 in factorial of a number is produced by 2 and 5 in it: 2*5 = 10. So, we need 10 to be in x! at least in power of 3.
5! = 120 has 1 trailing zeros.
10! will have 2 trailing zeros.
15! will have 3 trailing zeros.
20! will have 5 trailing zeros.
Answer: D.
Question: Find the average of first 40 natural numbers?
A.12.6
B.20.5
C.22.9
D.30.5
Answer: B.20.5
Explanation: Sum of first n natural numbers = n(n+1)/2
sum of first 40 natural numbers = 40*41/2 =820
average = 820/40 = 20.5
Answer is B
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
A.76 km/hr
B.66 km/hr
C.60 km/hr
D.67 km/hr
Answer: C.60 km/hr
Explanation: Let the speed of the slower train be x m/sec.
Then, speed of the train = 2x m/sec.
Relative speed = ( x + 2x) = 3x m/sec.
(100 + 100)/8 = 3x => x = 25/3.
So, speed of the faster train = 50/3 = 50/3 * 18/5 = 60 km/hr.
Answer:C
Question: What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 7, 24 and 25?
A.2.5
B.6.5
C.12.5
D.14
Answer: C.12.5
Explanation: Some of pyhtagron triplets we need to keep it in mind.
Like {( 2,3,5) , ( 5,12,13) ,( 7, 24,25), ( 11, 60,61).
So now we know the triangle is an right angle triangle. The circle circumscribes the triangle.
The circumraduis of the circle that circumscribes the right angle triangle = hypotanse / 2 = 25 / 2 = 12.5
Ans. C
Question: How many plants will be there in a circular bed whose outer edge measure 35 cms, allowing 4 cm2 for each plant ?
A.18
B.750
C.24
D.19
Answer: C.24
Explanation: Circumference of circular bed = 35 cm
Area of circular bed = (35)2â„4Ï€
Space for each plant = 4 cm2
âˆ´ Required number of plants
= (35)2â„4Ï€ Ã· 4 = 24.36 = 24(approx)
Answer C
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 1.4 km respectively. The time taken by the slower train to cross the faster train in seconds is?
A.60
B.277
C.48
D.99
Answer: A.60
Explanation: Relative speed = 60 + 90 = 150 km/hr.
= 150 * 5/18 = 125/3 m/sec.
Distance covered = 1.10 + 1.4 = 2.5 km = 2500 m.
Required time = 2500 * 3/125 = 60 sec.
Answer:A
Question: (0.0066)(3.6) / (0.04)(0.1)(0.006)=
A.990
B.99.0
C.9.9
D.0.99
Answer: A.990
Explanation: (0.0066)(3.6) / (0.04)(0.1)(0.006)=0.0060 * 360/4 * (0.1)(0.006)
= 0.066*90/1 * 0.006 = 66*90/6 = 11*90
=990
Answer : A
Question: Which of the following points is symmetric with y=x at (2,3)?
A.(-2,-1)
B.(-2,1)
C.(2,1)
D.(3,2)
Answer: D.(3,2)
Explanation: We can think of line y = x as a mirror. Any point (x,y) becomes (y,x) when it isreflectedover the mirror. Reverse the coordinate and keep the same sign. These two points will be symmetric to the line y = x.
(2,3) would become (3,2).
Answer (D).
Question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
A.22
B.27
C.15
D.77
Answer: C.15
Explanation: Total members in the group = 7
Average amount = Rs. 20
Total amount with them = 7 * 20 = Rs. 140
One number has Rs. 50. So, the amount with remaining 6 people = 140 - 50 = Rs. 90
The average amount with them = 90/6 = Rs. 15.
Answer: C
Question: Farm Tax is levied on the 45% of the cultivated Land. The tax department collected total $ 3840 through the farm Tax from the village of Mr. willam. Mr. willam paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is :
A.15%
B.25%
C.15.125%
D.27.78%
Answer: D.27.78%
Explanation: Only trick n this question is to ignore 45% information as farm tax is levied uniformly in the village and that includes Mr William's land.
What percentage of tax Mr William paid ? This will be equal to the percentage of total cultivated land he holds over the total cultivated land in the village. That leads to (480/3840)x100 =12.5%in percentage terms.
But the question asks ratio between his total land to total cultivated land. Hence the answer is 12.5%x (100/45) = 27.78% and the answer is not there in the options.
The correct answer is (D).
Question: A restaurant meal cost $50 and there was no tax. If the tip was more than 15 percent but less than 20 percent of the cost of the meal, then the total amount paid must have been between
A. $58 and $59
B. $56 and $61
C. $58 and $60
D. $57 and $59
Answer: B. $56 and $61
Explanation: Hence it will be between 50 * (1+15/100) and 50 * (1+20/100).
i.e b/w 57.5 and 60. Hence the answer B (b/w 56 and 61).
Question: In a throw of dice what is the probability of getting number greater than 5
A.1/7
B.1/6
C.1/11
D.1/13
Answer: B.1/6
Explanation: Number greater than 5 is 6, so only 1 number
Total cases of dice = [1,2,3,4,5,6]
So probability = 1/6
B)
Question: The function f is defined for all the positive integers d by the following rule: f(d) is the number of positive integers each of which is less than d and has no positive factor in common with d other than 1 . if p is a prime number then f(p)?
A.p-1
B.p-2
C.(p+1)/2
D.(p-1)/2
Answer: A.p-1
Explanation: The moment you put a prime number in the function f(d), notice that all the numbers lesser than d have no divisor clashing with divisor of d since d is prime!!.
For instance f(7)= {6, 5, 4, 3, 2, 1}
Thus for f(p) number of integers falling under this set will be p-1
Answer :- A
Question: Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 50 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell when they meet in the middle?
A.16
B.18
C.20
D.24
Answer: C.20
Explanation: Distance between Maxwell's and Brad's home = 50 km
Maxwell's speed = 4 km/h
Brad's speed = 6 km/h
Relative speed of approach = 10 km/h
Time = 50/ 10 = 5 hours
Distance traveled by Maxwell when they meet in the middle = 4*5 = 20 km
Answer C
Question: If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 80 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?
A.60 %
B.65 %
C.70%
D.75%
Answer: C.70%
Explanation: {Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}
100 = 85 + 80 - {Both correctly} + 5
{Both correctly} = 70.
Answer: C.
Question: How many pieces of 0.85 metres can be cut from a rod 42.5 metres long?
A.30
B.40
C.50
D.60
Answer: C.50
Explanation: Number of pieces = 42.5/0.85
= 42.50/0.85
= 4250/85
= 50.
ANSWER:C
Question: Of the 1000 inhabitants of a town, 60% are males of whom 20% are literate. If, of all the inhabitants, 25% are literate, then what percent of the females of the town are literate?
A.22.5
B.27.5
C.32.5
D.37.5
Answer: C.32.5
Explanation: Sol.
Number of males = 60% of 1000 = 600.
Number of females = (1000-600) = 400.
Number of literates = 25% of 1000 = 250.
Number of literate males = 20% of 600 = 120.
Number of literate females = (250 - 120) = 130.
∴ Required percentage = (130 / 400 x 100)% = 32.5%
Answer C
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
A.3
B.5
C.6
D.67
Answer: A.3
Explanation: M = 4
S = 2
US = 4 - 2 = 2
D = 6
T = 6/2 = 3
Answer:A
Question: A cyclist climbs a hill with a length of 400 m with a speed of 7.2 km/h. When descending, the speed is two times greater. How much time is necessary for the cyclist to climb and descend the hill?
A.30 seconds
B.20 seconds
C.40 seconds
D.10 seconds
Answer: A.30 seconds
Explanation: 7.2 km = 7200 m. 1 h = 3600 s. The speed will be 7200 m/3600 s = 2 m/s. The necessary time to climb will be 20 seconds. When descending, if the speed is two times greater, the necessary time will be two times smaller, so 10 seconds. The total necessary time is 20 s + 10 s = 30 seconds.
Answer A
Question: 12,31,68,129,220,347,?
A.129
B.220
C.347
D.516
Answer: D.516
Explanation: 2*2*2 + 4 = 12
3*3*3 +4 = 31
4*4*4 + 4 = 68
5*5*5 + 4 = 129
6*6*6 + 4 = 220
7 *7 *7 + 4 = 347
8 *8 *8 + 4 = 516.
ANSWER : D
Question: Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 54 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the total time it takes Maxwell before he meets up with Brad?
A.3
B.4
C.5
D.6
Answer: D.6
Explanation: Total Distance = 54 kms
Maxwell Speed = 4 kms/hr
Maxwell travelled for 1 hour before Brad started , therefore Maxwell traveled for 4 kms in 1 hour.
Time taken = Total Distance / Relative Speed
Total Distance after Brad started = 50 kms
Relative Speed (Opposite side) (As they are moving towards each other speed would be added ) = 6+ 4 = 10 kms/hr
Time taken to meet Brad after Brad Started = 50 / 10 = 5 hrs
Distance traveled by Maxwell = Maxwell's speed * time taken = 4 * 5 = 20+4 = 24 kms...
Therefore Total Time taken by Maxwell to meet Brad = Distance travelled by Maxwell / Maxwell's Speed = 24 /4 = 6 hrs ... Answer D
Alternatively ...
Total Time taken by Maxwell to meet Brad = Maxwell started 1 hour earlier to Brad + total time taken to meet brad after Brad started = 1+ 5 = 6 hrs... Answer D
Question: ine m lies in the xy-plane. The y-intercept of line m is -2, and line m passes through the midpoint of the line segment whose endpoints are (2, 4) and (6, -8). What is the slope of line m ?
A.-3
B.-1
C.-1/3
D.0
Answer: D.0
Explanation: y intercept of line m is -2 ; i.e. one point on the line m is (0,-2)
Line m passes through the midpoint of (2,4) & (6, -8) i.e. ((2+6)/2 , (4+-8)/2) = (4, -2)
So two point on line m are (0,-2) and (4, -2) As the y coordinates of the two points are same, this is a line parallel to X axis.
So slope is zero.
Answer D
Question: Angelo and Isabella are both salespersons. In any given week, Angelo makes $550 in base salary plus 8 percent of the portion of his sales above $1,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?
A.23,500
B.24,500
C.25,500
D.26,500
Answer: A.23,500
Explanation: Let the weekly sales of both = x
550+(x−1000)8/100=10/100x
x = 23500
ANSWER:A
Question: If a: b = 11: 4, b: c = 15: 12, find a: b: c?
A.155: 50: 42
B.165: 60: 52
C.175: 70: 62
D.185: 80: 72
Answer: B.165: 60: 52
Explanation: a: b = 11: 4
b: c = 15: 13
a: b: c = 165: 60: 52
ANSWER:B
Question: It was intended that Rs. 585 be divided among P, Q and R in the ratio of 4 : 3 : 2, but by mistake the distribution was made in the proportion of 1/4 : 1/3 : 1/2. How much does 'R' gain by the error ?
A.Rs. 99
B.Rs. 126
C.Rs. 140
D.Rs. 152
Answer: C.Rs. 140
Explanation: Explanation:
Total amount = Rs. 585
on dividing it in the ratio of 4 : 3 : 2
Share of P = 4/9 * 585 = Rs. 260
Share of Q = 3/9 * 585 = Rs. 195
Share of R = 2/9 * 585 = Rs. 130
But the amount has been divided in the proportion of 1/4 : 1/3 : 1/2 i.e. 3 : 4 : 6
Share of P = 3/13 * 585 = Rs. 135
Share of Q = 4/13 * 585 = Rs. 180
Share of R = 6/13 * 585 = Rs. 270
Therefore, gain for R by virtue of error = Rs. 270 – Rs. 130 = Rs. 140
ANSWER C
Question: Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 1 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amount of time, in terms of R, that Alex will have been walking when Brenda has covered twice as much distance as Alex?
A.R-4
B.R/(R+4)
C.R/(R-2)
D.8/(R-8)
Answer: C.R/(R-2)
Explanation: Let T be the time thatAlexwill have been walking when Brenda has covered twice as much distance as Alex.
In T hours Alex will cover 4T miles;
Since Brenda begins her journey 1 hour later than Alex then total time for her will be T-1 hours, and the distance covered in that time will be R(T-1);
We want the distance covered by Brenda to be twice as much as that of Alex: 2*1T=R(T-1) --> 2T=RT-R --> T=R/(R-2).
Answer: C.
Question: (A% of 5B + B% of A) is equal to ?
A.A% of B
B.B% of A
C.6% of AB
D.AB% of 3
Answer: C.6% of AB
Explanation: Answer
A% of 5B + B% of A =5AB/100 + AB/100
= 6AB/100 = 6% of AB
Correct Option: C
Question: If A = B/C, -1 < C < 0 and 4 < B, which of the following is correct?
A.A > 4.
B.0 < A <4.
C.-4 < A < 0.
D.A < -4.
Answer: D.A < -4.
Explanation: B is +veC is -ve
Eliminate AB
For min. value max. numerator and minimize dinominator
take B=4.1A=-0.9
A=4.1/-0.9
A<-4
Ans D
Question: On a track for remote controlled racing cars, racing car A completes the track in 56 seconds, while racing car B completes it in 35 seconds. If they both start at the same time after how many seconds will they be side by side again.
A.275
B.325
C.280
D.425
Answer: C.280
Explanation: Time required in seconds will be LCM ( 35, 56 ) = 280
Hence, answer will be (C) 280
Question: A mixture contains milk and water in the ratio 7:3. On adding 20 liters of water, the ratio of milk to water becomes 7:5. Total quantity of milk & water before adding water to it?
A.90
B.100
C.110
D.120
Answer: B.100
Explanation: milk:water = 7:3
7x : 3x + 20 = 7 : 5
5[7x] = 7[3x + 20]
35x = 21x + 140
35x - 21x = 140
14x = 140
x = 10
The quantity of milk in the original mixture is = 7 : 3 = 7 + 3 = 10
10x = 100
Option 'B'
Question: If 4 - (3/7)x = (x-3) / 7,
then what is the value of x ?
A.8
B.31
C.4
D.31/4
Answer: D.31/4
Explanation: 4 - (3/7)x = (x-3) / 7
=> 28 - 3x = x - 3
=> -4x = -31
=> x = 31/4
Answer: D
Question: If a + b > 5 and a - b < 3, which of the following must be true?
I. a > b
II. b > 1
III. a > 5
A.I only
B.II only
C.III only
D.II and III only
Answer: B.II only
Explanation: I. Not true, example: a=3, b=4
II. True, add the equations together so that the greater parts are added. Thus, a + b + 3 > 5 + a - b. Combining like terms, we get 2b > 2. Thus, b > 1.
III. Not true, example: a = r, b = 4
Thus, II only so the answer if B.
Question: The elevator in an eleven-story office building travels at the rate of one floor per 1/4 minute, which allows time for picking up and discharging passengers. At the main floor and at the top floor, the operator stops for 1 minute. How many complete trips will an operator make during a 4-hour period?
A.88
B.56
C.42
D.34
Answer: D.34
Explanation: Complete trip = 10 floors up and 10 floors down = 20 floors = 20*1/4 = 5 minutes plus 2 minutes = 7 minutes.
4 hour = 240 minutes.
In 240 minutes operator can make 240/7=34 trips.
Answer: D.
Question: Of the teams competing in the world archery championships, Ten percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.
A.13/20
B.16/20
C.13/15
D.17/20
Answer: B.16/20
Explanation: Half as manymeans half of EU, then
EU 10%
US 5%
AF 5%
the rest is 50%, answer B
Question: Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 1/4 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what capacity?
A.1/2
B.2/3
C.3/4
D.5/6
Answer: A.1/2
Explanation: (1/2)X = (1/4)Y
(1/4)Y + (1/4)Y = (1/2)Y
The answer is A.
Question: If the discount on Rs. 498 at 5% simple interest is Rs.18, when is the sum due?
A.8 months
B.11 months
C.10 months
D.9 months
Answer: D.9 months
Explanation: Explanation :
F = Rs. 498
TD = Rs. 18
PW = F - TD = 498 - 18 = Rs. 480
R = 5%
TD = (PW × TR)/100
⇒ 18 = (480 × T × 5)/100
⇒ 18 = 24 × T
⇒ T = 18/24 = 3/4 years = (12×3)/4 months = 9 months Answer : Option D
Question: if the price of a book is first decreased by 25% and then increased by 20%, then the net change in the price will be :
A.10
B.388
C.37
D.29
Answer: A.10
Explanation: Explanation:
Let the original price be Rs. 100.
New final price = 120 % of (75 % of Rs. 100) = Rs. (120/100 * 75/100 * 100) = Rs. 90.
Decrease = 10%
Answer: A) 10
Question: E and F represent two distinct digits. If the number 457E89F is divisible by 36, what is the value of (E+F)?
A.a) 9
B.b) 3
C.c) 12
D.d) 6
Answer: B.b) 3
Explanation: A no. divisible by 36 means it is div by 49 .
to be div by 4 last 2 digits to be multiple of 4 So, F could be either 2 or 6 only
similarly for a number to be div by 9 its sum must be multiple of 9 first. filtering we find E could be either 1,4,7 only.
To be divisible by 9 only 1 works .(if we choose f=6 then E have to be 6 but as per condition EF are distinct) So
E=1
F=2
Ans:- 3.B
Question: The C.P of 5 pens is equal to the S.P of 7 pens. Find his gain % or loss%?
A.25 4/7%
B.26 4/7%
C.28 4/7%
D.14 4/7%
Answer: C.28 4/7%
Explanation: 5CP = 7 SP
7 --- 2 CP loss
100 --- ? => 28 4/7%
Answer: C
Question: A homeless man wins the lottery and winds up with $200,457,543. He wishes to share it equalling with 8 other homeless friends of his. How much more money does he need to be able to distribute the money equally?
A.7
B.0
C.6
D.1
Answer: C.6
Explanation: Using the rule on the divisibility of 9, we add all the digits together. The sum of those numbers is 30 and 36 is divisible by nine. Therefore, he needs 6 dollars.(option C)
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
A.40
B.87
C.26
D.21
Answer: A.40
Explanation: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec
Answer:A
Question: Find the value of (875 233/899) × 899
A.786845
B.786857
C.786858
D.786859
Answer: C.786858
Explanation: (875 233/899) × 899
(786625 + 233)/899 × 899
786858/899 × 899
786858
C
Question: ((-1.9)(0.6) – (2.6)(1.2))/3.0 = ?
A.-0.71
B.1.0
C.1.07
D.-1.42
Answer: D.-1.42
Explanation: Dove straight into calculation
((-1.9)(0.6) – (2.6)(1.2))/3.0 = -1.42
Answer D
Question: A boat crossed a lake from North to South at the speed of 4 km/h, entered a river and covered thrice as much distance going upstream at 3 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 3.8 km/h that day, what was its approximate downstream speed?
A.4
B.5
C.6
D.7
Answer: B.5
Explanation: Another way will be:
Total time for the trip = distance covered in Lake/speed in still water +distance covered upstream/upstream speed + distance covered downstream/downstream speed
If 7D is the total distance, then distance covered in lake = D, distance covered upstream = 3D and distance covered downstream = 3D
=>7D/3.8 = D/4 + 3D/3 + 3D/x (where x is the downstream speed)
=> 7/3.8 = 1/4 + 3/3 +3/x (div. both sides by D)
=> 1.84 = .25+1 +-59/x => x=5.05 ~ 5
option B
Question: A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
A.Rs. 12
B.Rs. 15
C.Rs. 18
D.Rs. 21
Answer: B.Rs. 15
Explanation: Dividend on Rs. 20 = Rs(9/100)x20 = Rs 9/5
Rs. 12 is an income on Rs. 100.
Rs.9 is an income on Rs. (100/120)x(9/5)= Rs. 15.
ANSWER:B