RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A bus leaves the stop 30 minutes before the scheduled time. The driver decreases its speed by 30km/hr. At the next bus stop 180 km away, the bus reached on time. Find the original speed of the bus?
A.110km/hr
B.120km/hr
C.130km/hr
D.140km/hr
Answer: B.120km/hr
Explanation: Explanation :
Distance = 180km, actual speed = x and actual time = t
180 = x*t
180 = (x – 30)*(t +1/2)
Solve both equation, we will get x = 120km/hr
Answer – B
Question: The tax on a commodity is diminished by 12% and its consumption increased by 10%. The effect on revenue is?
A.8
B.6
C.3
D.5
Answer: C.3
Explanation: 100 * 100 = 10000
88 * 110 = 9680
-----------
10000-----------320
100-----------? => 3% decrease
Answer:C
Question: An escalator moves towards the top level at the rate of 12 ft.sec and its length is 196 feet. If a person walks on the moving escalator at the rate of 2 feet per second towards the top level, how much time does he take to cover the entire length.
A.14 sec
B.10 sec
C.12 sec
D.8 sec
Answer: A.14 sec
Explanation: Time taken to cover the entire length = tot.dist/resultant speed
= 196/ (12+2)
= 14sec
ANSWER:A
Question: James took a 3-hour bike ride. In the second hour he travlled 12 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?
A.54.0
B.54.9
C.55.5
D.37.0
Answer: D.37.0
Explanation: Let the distance travelled in the first hour be x. Thus, 1.2x = 12 , x = 10. Now, the distance travelled in the 3rd hour = 12+1/4âˆ—12=15
Therefore 12+15+ 10 = 37
ANSWER:D
Question: What is the value of 3x^2 − 1.8x + 0.3 for x = 0.6?
A.−0.3
B.0
C.0.3
D.1.08
Answer: C.0.3
Explanation: 3x^2-1.8x+0.3 for x=0.6
=3(0.6*0.6)-3*0.6*(0.6)+0.3
=0+0.3
=0.3
ANSWER:C
Question: A person X working alone can complete a work in 6 days. A person Y completes the same amount of work in 10 days, and a person Z when working alone can complete the same amount of work in 30 days. All three people work together for 2 days but then X and Y leave. How many more days does Z need to complete the work after X and Y leave?
A.9
B.10
C.11
D.12
Answer: D.12
Explanation: The fraction of work completed in two days is 2/6 + 2/10 + 2/30 = 18/30
The fraction of work remaining is 1 - 18/30 = 12/30
The number of days required for Z is 12 days.
The answer is D.
Question: A man can row with a speed of 23 kmph in still water. If the stream flows at 14 kmph, then the speed in downstream is?
A.37
B.23
C.20
D.28
Answer: A.37
Explanation: M = 23
S =14
DS = 23 + 14 = 37
Answer: A
Question: Rs. 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
A.5 : 1
B.5 : 7
C.5 : 5
D.5 : 9
Answer: A.5 : 1
Explanation: Let the amount lent at 7% be Rs. x
Amount lent at 10% is Rs. (6000 - x)
Total interest for one year on the two sums lent
= 7/100 x + 10/100 (6000 - x) = 600 - 3x/100
=> 600 - 3/100 x = 450 => x = 5000
Amount lent at 10% = 1000
Required ratio = 5000 : 1000 = 5 : 1
Answer: A
Question: An alloy weighing 20 ounces is 70 percent gold. How many ounces of pure gold must be added to create an alloy that is 90 percent gold?
A.6
B.9
C.12
D.76
Answer: D.76
Explanation: In 24 ounces, gold is 20 * (70/100) = 14 ounces. Now we add x ounces of pure gold to make it 90% gold.
So 14 + x = (24 + x)* 90/100 => x =76.
Answer is D.
Question: A room is 8 meters 16 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.
A.107
B.153
C.178
D.198
Answer: B.153
Explanation: Let us calculate both the length and width of the room in centimeters.
Length = 8 meters and 16 centimeters = 816 cm
width = 4 meters and 32 centimeters = 432 cm
As we want the least number of square tiles required, it means the length of each square tile should be as large as possible.Further,the length of each square tile should be a factor of both the length and width of the room.
Hence, the length of each square tile will be equal to the HCF of the length and width of the room = HCF of 816 and 432 = 48
Thus, the number of square tiles required = (816 x 432 ) / (48 x 48) = 17 x 9 = 153
Answer: B
Question: A cistern 8 m long and 6 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
A.80 m2
B.50 m2
C.83 m2
D.86 m2
Answer: C.83 m2
Explanation: Area of the wet surface	= [2(lb + bh + lh) - lb]
= 2(bh + lh) + lb
= [2 (6 x 1.25 + 8 x 1.25) + 8 x 6] m2
= 83 m2.
answer :C
Question: Rani bought more apples than oranges. She sells apples at ₹23 apiece and makes 15% profit. She sells oranges at ₹10 apiece and makes 25% profit. If she gets ₹653 after selling all the apples and oranges, find her profit percentage C.
A.16.8%
B.17.4%
C.17.9%
D.18.5%
Answer: B.17.4%
Explanation: Given: Selling price of an Apple = 23 --> Cost price = 23/1.15 = 20
Selling price of an orange = 10 --> Cost price = 10/1.25 = 8
A > O
23*(A) + 10*(O) = 653
653 - 23*(A) has to be divisible by 10 --> Units digit has to be 0
Values of A can be 1, 11, 21, 31, .... --> 1 cannot be the value
Between 11 and 21, If A = 11, O = 30 --> Not possible
If A = 21, O = 17 --> Possible
Cost price = 20*21 + 8*17 = 420 + 136 = 556
Profit = 653 - 556 = 97
Profit% C= (97/556)*100 = 17.4%
Answer: B
Question: All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
A.7184 liters
B.8184 liters
C.6184 liters
D.1184 liters
Answer: D.1184 liters
Explanation: Explanation:
B has 62.5% or (5/8) of the water in A. Therefore, let the quantity of water in container A(initially) be 8k.
Quantity of water in B = 8k - 5k = 3k.
Quantity of water in container C = 8k - 3k = 5k
Container: A B C
Quantity of water: 8k 3k 5k
It is given that if 148 liters was transferred from container C to container B, then both the containers would have equal quantities of water.
5k - 148 = 3k + 148 => 2k = 296 => k = 148
The initial quantity of water in A = 8k = 8 * 148 = 1184 liters.
Answer: D
Question: Six persons in an organization including X and Y were to be divided in two groups of 3 members each. The total number of groups containing both X and Y is what fraction of the total number of groups which can be formed?
A.1/4
B.1/70
C.3/14
D.3/10
Answer: D.3/10
Explanation: The fraction is nothing but the probability..
Number to choose 3 out of 6= 6C3
Number to choose X and Y and 2 from remaining 4=4C2..
prob of A and B choosen=4C2/6C3=3/10
Answer : D
Question: Boy sells a book for Rs.450 he gets a loss of 10%, find CP of the book?
A.Rs.400
B.Rs.450
C.Rs.500
D.Rs.600
Answer: C.Rs.500
Explanation: Find cost price
Let C.P. of book = x and S.P. = Rs. 450
S.P. of book = C.P. – (10% of C.P.)
S.P. = x – (0.10x)
450 = 0.9 x
x i.e cost price = Rs.500
C
Question: If the consumer price index for a sample of goods and services purchased in Dallas rose from 100 at the end of 1967 to x at the end of 1985, what was the average R (arithmetic mean) annual increase in the index over this period?
A. (x + 100)/18
B. x/18
C. (100 − x)/18
D. (x − 100)/18
Answer: D. (x − 100)/18
Explanation: CPI in end of 1967 = 100
CPI in end of 1985 = x
Number of years = 18
Average annual increase in CPI R= (x-100)/18
Answer D
Question: In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
A.5/6
B.2/7
C.2/8
D.9/2
Answer: B.2/7
Explanation: P (getting a prize) =10/(10 + 25) = 10/35 = 2/7	.
Answer:B
Question: The total age of A and B is 15 years more than the total age of B and C. C is how many years younger than A ?
A.12
B.27
C.15
D.18
Answer: C.15
Explanation: (A+B) - (B+C) = 15
A - C = 15.
C is younger than A by 15 years.
Answer: C
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 14000. What was Simran's share in the profit?
A.Rs. 9423
B.Rs. 10,250
C.Rs. 12,500
D.Rs. 6000
Answer: D.Rs. 6000
Explanation: Simran : Nanda = (50000 * 36) : (80000 * 30) = 3:4
Simran's share = 14000 * 3/7 = Rs. 6000
ANSWER:D
Question: If x+y=260, x-y=200, for integers of x and y, y=?
A.200
B.230
C.50
D.115
Answer: B.230
Explanation: x+y = 260
x-y = 200
2x = 60
x = 30
y = 230
Answer is B
Question: The average age of a husband and a wife is 28 years when they were married ten years ago but now the average age of the husband, wife and child is 27 years(the child was born during the interval). What is the present age of the child?
A.2 years
B.5 years
C.9 years
D.4 years
Answer: B.5 years
Explanation: 38 * 2 = 76
27 * 3 = 81
-----------
5 years
Answer:B
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 this son is
A.21 years
B.22 years
C.23 years
D.24 years
Answer: B.22 years
Explanation: Explanation:
Let's Son age is x, then Father age is x+24.
=> 2(x+2) = (x+24+2)
=> 2x+4 = x+26
=> x = 22 years
Option B
Question: A retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is 70 percent greater than the wholesale price. If the retailer decreases the retail price by 30 percent this will have the same effect as increasing the wholesale price by what percent?
A.26
B.37.5
C.42
D.19
Answer: D.19
Explanation: Answer: D= 19.
Assume Rs. 100 to be the price at which the retailer buys from wholesaler.
70% increase makes Retail price = 170.
Now 30% decrease -> (1-30/100) * 170 = 119.
Now compared to the wholesale price of 100, 19% increase is what will have the same effect as increasing the wholesale price.
Question: In an increasing sequence of 10 consecutive integers, the sum of the first 5 integers is 555. What is the sum of the last 5 integers in the sequence?
A. 585
B. 580
C. 575
D. 570
Answer: B. 580
Explanation: All 5 integers are 5 numbers larger than in the first sum (eg. 1 becomes 6, 2 7...). 5*5=25+555=580
B
Question: Given that 268x74= 19532, find the value of 2.68x.74.
A.1.9532
B.1.0025
C.1.5693
D.1.0266
Answer: A.1.9532
Explanation: Solution
Sum of decimals places	=(2+2)
= 4.
Therefore,	= 2.68×.74
= 1.9532
Answer A
Question: Ice-ColdIce-cream factory produces only tricolor ice-cream products, where each ice-cream has three stripes of different colors. The factory uses the colors pink, purple, orange, silver, blue and VIOLET. How many different ice-cream products have at least one stripe out of the following colors: pink, purple or orange (assume that the order of the stripes in a single ice-cream does not matter)?
A.12
B.14
C.18
D.19
Answer: D.19
Explanation: IMO: D - 19
There are 6C3 = 20 ways to create different colored ice cream products. Out of these 20, only 1 (Silver, Blue, VIOLET) will not contain at least one of the colors pink, purple, or orange. 20 - 1 = 19.
The other way would be to calculate the number of ice cream products that contain at least one of the colors pink, purple, or orange (PPO).
#1: Pick one out of PPO and two out of SBP: 3C1 * 3C2 = 3 * 3 = 9
#2: Pick two out of PPO and one out of SBP: 3C2 * 3C1 = 3 * 3 = 9
#3: Pick three out of PPO: 3C3 = 1
9 + 9 + 1 = 19
answer is D
Question: How many seconds will it take for a car that is traveling at a constant rate of 77 miles per hour to travel a distance of 21 yards?	(1 mile = 1,160 yards)
A..1
B.0.3
C.0.6
D.2
Answer: C.0.6
Explanation: speed = 77 miles/hr = 37.64 yard/s
distance = 21 yards
time = distance/speed
=21/37.64
=0.6 sec
ans - C
Question: One pipe can fill a pool twice as faster as the second pipe. When both pipes are opened, they fill the pool in five hours. How long would it take to fill the pool if only the slower pipe is used?
A.10
B.15
C.15.5
D.12.5
Answer: B.15
Explanation: Say the rate of the slower pipe is R pool/hour, then the rate of the faster pipe would be 2R. Since when both pipes are opened, they fill the pool in five hours, then their combined rate is 1/5 pool/hour.
Thus we have that R + 2R = 1/5 --> R = 1/15 pool/hour --> time is reciprocal of rate thus it's 15/1 =15 hours.
Answer: B.
Question: A tin of oil was 4/5full.when 6 bottles of oil were taken out and four bottles of oil were poured into it, it was ¾ full. how many bottles of oil can the tin contain?
A.40
B.30
C.20
D.21
Answer: A.40
Explanation: Suppose x bottles can fill the tin completely
Then4/5x-3/4x=6-4
X/20=2
X=40
Therefore required no of bottles =40
Option :A
Question: The average age 9 men of a gang are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new men than the old number?
A.10
B.12
C.18
D.22
Answer: C.18
Explanation: 9 * 2 = 18 years
C
Question: A company pays 12.5% dividend to its investors. If an investor buys Rs.50 shares and gets 25% on investment, at what price did the investor buy the shares?
A.25
B.66
C.18
D.19
Answer: A.25
Explanation: Explanation:
Dividend on 1 share = (12.5 * 50)/100 = Rs.6.25
Rs.25 is income on an investment of Rs.100
Rs.6.25 is income on an investment of Rs. (6.25 * 100)/25 = Rs.25
ANSWER: A
Question: If x and y are non-zero integers, and 49x^4 – 4y^4 = 7x^2 + 2y^2, which of the following could be the value of x2 in terms of y?
A.2y^2
B.2y^2+1/7
C.2y^4
D.2y^2-1/7
Answer: B.2y^2+1/7
Explanation: 49x^4 – 4y^4 = 7x^2 + 2y^2
(7x^2 + 2y^2) (7x^2 - 2y^2) = 7x^2 + 2y^2
7x^2 - 2y^2 = 1
7x^2 = 2y^2+1
x^2 = 2y^2+1/7
Answer : B
Question: Find the simple interest on Rs. 71,000 at 16 2/3% per year for 9 months.
A.7500
B.6500
C.8875
D.9500
Answer: C.8875
Explanation: P = Rs.71000,R = 50/3% p.a and T = 9/12 years = 3/4years.
Simple Interest = (P*R*T)/100 = Rs.(71,000*(50/3)*(3/4)*(1/100))= Rs.8875
Answer is C.
Question: Company Z has 58 employees. If the number of employees having birthdays on Wednesday is more than the number of employees having birthdays on any other day of the week, each of which have same number of birth-days, what is the minimum number of employees having birthdays on Wednesday.
A.6
B.10
C.8
D.9
Answer: B.10
Explanation: Say the number of people having birthdays on Wednesday is x and the number of people having birthdays on each of the other 6 days is y. then x + 6y = 54.
Now, plug options for x. Only B and E give an integer value for y. But only for B x > y as needed.
Answer: B.
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
A.17
B.10
C.23
D.27
Answer: B.10
Explanation: 4/12 + x/15
= 1
x = 10
Answer: B
Question: The three sides of an acute angled triangle (all in cms) are 12, 19 and b. How many integer values can b take?
A.23
B.22
C.15
D.8
Answer: D.8
Explanation: In acute angle triangles all angles in the triangle should be less than 90.
The maximum length of b can be when it is the hypotenuse of the triangle.
So, b= sqrt(12^2 + 19^2) = 22.5 (approx)
The maximum length of b can be when side of length 12 is the hypotenuse of the triangle.
So, b = sqrt (19^2 - 12^2) = 14.7 (approx)
So, b>14.7 and b<22.5.
Hence, possible values for b can be 15,16,17,18,19,20,21 and 22. Total 8 values.
Answer D.
Question: An electric pump can fill a tank in 4 hours. Because of a leak in the tank, it took 8hours to fill the tank. If the tank is full, how much time will the leak take to empty it?
A.10hours
B.12hours
C.8hours
D.5hours
Answer: C.8hours
Explanation: Work done by the leak in 1 hour = 1/4 - 1/8 = 1/8
The leak will empty the tank in 8hours
Answer is C
Question: which of the following will not give a prime number on taking square root?
A.576
B.144
C.529
D.64
Answer: C.529
Explanation: A prime number is a number greater than 1, whose only two whole-number factors are 1 and itself.
here square root of 529 is 23 which is having only two factor, one and its self.
23 is a prime number
answer is C
Question: According to a recent student poll, 4/5 out of 20 members of the finance club are interested in a career in investment banking. If two students are chosen at random, what is the probability that at least one of them is interested in investment banking?
A.62/95
B.52/95
C.92/95
D.42/95
Answer: C.92/95
Explanation: 16 students are interested, 4 are not interested
Prob = 1 - 4C2/20C2 = 1 - (4*3/(20*19))=1 - 3/95 = 92/95
Answer : C
Question: A sum of money at simple interest amounts to Rs. 815 in 2 years and to Rs. 854 in 3 years. The sum is:
A.500
B.698
C.780
D.737
Answer: D.737
Explanation: Sol.
S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 2 years = Rs. (39 * 2) = Rs. 78.
âˆ´ Principal = Rs. (815 - 78) = Rs. 737.
Answer D
Question: Mrs. Smith is 8 years more than twice the age of his son. The ages of son is 12.Find the age of mother and find the difference between their ages.
A.20yrs
B.22yrs
C.24yrs
D.26yrs
Answer: A.20yrs
Explanation: Age of Smith = 32yrs; Difference between their ages = 20
Let, age of son x=12
Smith is 8 years more than twice the age of his son, y = 8+2(x)
=8+2(12)
=8+24
=32yrs
Difference = 32 - 12
=20yrs
ANSWER:A
Question: If A(k)=(k+1)^-k, and k=0, what is the value of A(A(A(k)))?
A.0
B.(2/3)^(1/2)
C.1
D.(3/2)^(1/2)
Answer: B.(2/3)^(1/2)
Explanation: A(A(A(0)))=A(A(1))=A(1/2)=(1/2+1)^-1/2=(2/3)^(1/2)
Thus, the answer is B.
Question: A train passes a station platform in 50 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
A.615 m
B.240 m
C.168 m
D.300 m
Answer: D.300 m
Explanation: Speed = 54 * 5/18 = 15 m/sec.
Length of the train = 15 * 20 = 300 m.
Let the length of the platform be x m . Then,
(x + 300)/50 = 15 => x
= 300 m
Answer: D
Question: A car crosses a 600 m long bridge in 5 minutes. What is the speed of car in km per hr?
A.7 km/hr
B.7.2 km/hr
C.8 km/hr
D.8.4 km/hr
Answer: B.7.2 km/hr
Explanation: Speed = 600 m/sec.
5 x 60
= 2 m/sec.
Converting m/sec to km/hr (see important formulas section)
= 2 x 18 km/hr
5
= 7.2 km/hr
B
Question: The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
A.180
B.277
C.129
D.187
Answer: A.180
Explanation: Let the five numbers be P, Q, R, S and T.
=> P + Q + R + S + T = 655.
(P + Q)/2 = 85 and R = 125
P + Q = 170 and R = 125
P + Q + R = 295
S + T = 655 - (P + Q + R) = 360
Average of the last two numbers = (S + T)/2 = 180.
Answer: A
Question: If money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70/r years. If Pat's parents invested $ 8000 in a long term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of investment 18 years later, when Pat is ready for college?
A.$20000
B.$15000
C.$32000
D.$10000
Answer: C.$32000
Explanation: Since investment doubles in 70/r years then for r=8 it'll double in 70/8=~9 years (we are not asked about the exact amount so such an approximation will do). Thus in 18 years investment will double twice and become ($8,000*2)*2=$32,000 (after 9 years investment will become $8,000*2=$16,000 and in another 9 years it'll become $16,000*2=$32,000).
Answer: C.
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 59?
A.s.3944
B.s.4012
C.s.3942
D.s.3965
Answer: B.s.4012
Explanation: Let the side of the square plot be a ft.
a2 = 289 => a = 17
Length of the fence = Perimeter of the plot = 4a = 68 ft.
Cost of building the fence = 68 * 59
= Rs.4012.
Answer: B
Question: A third of Arunâ€™s marks in mathematics exceed a half of his marks in English by 15.If he got 170 marks in two subjects together how many marks did he got in English?
A.120,50
B.180,60
C.180,90
D.120,40
Answer: A.120,50
Explanation: Let Arunâ€™s marks in Mathematics and English be x and y
Then (1/3)x-(1/2)y=15
2x-3y=90â€¦â€¦>(1)
x+y=170â€¦â€¦.>(2)
solving (1) and (2)
x=120
and y=50
Answer is A.
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
A.15 mins
B.20 mins
C.10 mins
D.25 mins
Answer: C.10 mins
Explanation: speed of the bus excluding stoppages = 54 kmph
speed of the bus including stoppages = 45 kmph
Loss in speed when including stoppages = 54 - 45 = 9kmph
=> In 1 hour, bus covers 9 km less due to stoppages
Hence, time that the bus stop per hour = time taken to cover 9 km
=distance/speed=9/54 hour=1/6 hour = 60/6 min=10 min
Answer is C.
Question: A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
A.Rs.92
B.Rs.70
C.Rs.90
D.Rs.28
Answer: C.Rs.90
Explanation: SP of 1m of cloth = 8925/85 = Rs. 105
CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth
= Rs. 105 - Rs. 15
= Rs.90.
Answer:C
Question: For a certain exam,a score of 86 was 5 standard deviations above mean and a score of 67 was 2.5 standard deviations above mean.What was the mean score for the exam?
A.50
B.55
C.48
D.42
Answer: C.48
Explanation: Mean+5SD=86
Mean+2.5SD=67
By solving above equations we get,
SD (absolute value)=7.6
Mean=48
ANS. C
Question: A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.
A.240
B.227
C.267
D.287
Answer: A.240
Explanation: (3*8 + 2*4):(4*8 + 5*4)
8:13
8/21 * 630 = 281
Answer: A
Question: Car A runs at the speed of 50km/hr & reaches its destination in 6hr. Car B runs at the speed of 100 km/h & reaches its destination in 1h. What is the respective ratio of distances covered by Car A & Car B?
A.11 : 5
B.3 :1
C.13 : 7
D.15 : 7
Answer: B.3 :1
Explanation: Sol. Distance travelled by Car A = 50 × 6 = 300 km
Distance travelled by Car B = 100 × 1 = 100 km
Ratio = 300/100 = 3 :1
Answer : B
Question: Find the least number of candidates in an examination so that the percentage of successful candidates should be 76.8%:
A.95
B.105
C.125
D.135
Answer: D.135
Explanation: suppose no. of total candidates are 'y' and successful are 'x'.
(x/y)*(100)=76.8 or x/y=0.768
or y=x/0.768
here we need minimum value of y, which is obtained by minimum value of x.
if put x=768 then y=1000
now we will try decrease value of x than we will find less value of y. so factorized 768 by 2 further.
if put x=384 then y=500
if put x=192 then y=250
if put x=96 then y=125(answer)
if put x=48 then y=62.5(not integer)
so ans is 125
ANSWER:D
Question: The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 600 per sq.metre.
A.Rs. 15,000
B.Rs. 15,500
C.Rs. 12,375
D.Rs. 16,500
Answer: C.Rs. 12,375
Explanation: Solution
Area of the floor	= (5.5 x 3.75)m²
= 20.635m ²
Cost of paying	= Rs. (600 x 20.625)
= Rs.12,375.
Answer C
Question: P can do a certain work in 20 days. Q is 60% more efficient than P. How many days does Q alone take to do the same job?
A.18.5
B.16.5
C.12.5
D.10.5
Answer: C.12.5
Explanation: Each day, P can do 1/20 of the work.
Each day, Q can do 1.6/20 of the work = 16/200 of the work
The time taken by B alone to complete the total work is 200/16 = 12.5 days.
The answer is C.
Question: Among the employees of a certain company, 52 percent of the employees are male and 48 percent are female. In this company 70 percent of the male employees are married and 60 percent of the female employees are married. If one employee in the company is randomly selected, approximately what is the probability that he or she is NOT married?
A. 0.3
B. 0.4
C. 0.45
D. 0.6
Answer: C. 0.45
Explanation: Much faster: draw 4 quadrants
______________Male (52%)_____Female (48%)
Married :__________70%____________50%
Not Married:_______30%____________60%
Therefore: the probability of picking one random person Not Married (he or she) is: 0,52 x 0,30 + 0,50 x 0,60 = 0,15 + 0,3 (approx.)
Solution: approx. 0,45 (answer C)