RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A man rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. What is his average speed for the entire trip approximately?
A.10.9
B.10.2
C.10.7
D.10.8
Answer: D.10.8
Explanation: Total distance travelled = 10 + 12 = 22 kmTime taken to travel 10 km at an average speed of 12 km/hr = distancespeed=1012 hrTime taken to travel 12 km at an average speed of 10 km/hr = distancespeed=1210 hrTotal time taken =1012+1210 hrAverage speed = distancetime=22(1012+1210)=22×120(10×10)+(12×12)22×120244=11×120122=11×6061=66061=10.8 kmph
Answer :D
Question: Calculate the area of a triangle, if the sides of are 65 cm, 60 cm and 25 cm, what is its area?
A.850 cm2
B.750 cm2
C.450 cm2
D.550 cm2
Answer: B.750 cm2
Explanation: The triangle with sides 65 cm, 60 cm and 25 cm is right angled, where the hypotenuse is 65 cm.
Area of the triangle = 1/2 * 60 * 25 = 750 cm2
Answer: B
Question: A line has a slope of 3/4 and intersects the point T (-12, -39). At which point does this line intersect the x-axis?
A.(40,0)
B.(30,0)
C.(0,40)
D.(40,30)
Answer: A.(40,0)
Explanation: Assume that the equation of the line is y=mx+c, where m and c are the slope and y-intercept.
You are also given that the line crosses the point (-12,-39), this means that this point will also lie on the line above.
Thus you get -39=m*(-12)+c , with m=3/4 as the slope is given to be 3/4.
After substituting the above values, you get c = -30.
Thus the equation of the line is y=0.75*x-30 and the point where it will intersect the x-axis will be with y coordinate = 0.
Put y=0 in the above equation of the line and you will get, x=40.
Thus, the point T of intersection is (40,0).
A is the correct answer.
Question: At a dinner party, 6 people are to be seated around a circular table. Two seating arrangement are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
A.5
B.10
C.120
D.320
Answer: C.120
Explanation: Has to be C.
Simple formula: There are (n - 1)! ways to arrange n distinct objects in a circle
hence (6-1)! = 5!= 120
Question: Bob has a jar of fruit, and he ate 1/8 of the fruit for lunch. If Bob ate 3/7 of the remaining fruit for dinner, what fraction of the fruit was left after dinner?
A.1/4
B.1/3
C.1/2
D.2/5
Answer: C.1/2
Explanation: Let x be the amount of fruit at the beginning.
After lunch, the remaining fruit was (7/8)x.
After dinner, the remaining fruit was (4/7)(7/8)x = (1/2)x.
The answer is C.
Question: What is the sum between the place values of two 3's in the numeral 63130
A.3111
B.300
C.3029
D.3030
Answer: D.3030
Explanation: Required sum = 3000+30 = 3030
Answer is D
Question: In 1970 there were 8,902 women stockbrokers in the United States. By 1978 the number had increased to 18,947. Approximately what was the percent increase?
A. 45%
B. 113%
C. 145%
D. 150%
Answer: B. 113%
Explanation: The percent increase is (18947-8902)/8902=10045/8902=1.13
So the approximate answer is B
Question: If 12 men do a work in 80 days, in how many days will 16 men do it?
A.22
B.87
C.77
D.60
Answer: D.60
Explanation: 12 * 80 = 16 * x
x = 60 days
Answer: D
Question: A train 125 m long passes a man, running at 7 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
A.11
B.50
C.52
D.65
Answer: C.52
Explanation: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr
= 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 7) km/hr. x - 7 = 45 ==> x
= 52 km/hr.
Answer:C
Question: A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
A.3/4
B.4/7
C.1/7
D.1/8
Answer: B.4/7
Explanation: Let number of balls = (6 + 8) = 14.
Number of white balls = 8.
P (drawing a white ball) =8/14=4/7.
Option B.
Question: The largest 4 digit number exactly divisible by 88 is?
A.9944
B.9954
C.9967
D.9969
Answer: A.9944
Explanation: Largest 4-digit number = 9999
88) 9999 (113
88
----
119
88
----
319
264
---
55
---
Required number = (9999 - 55)
= 9944.
A)
Question: A train moves with a speed of 108 kmph. Its speed in metres per second is
A.10.8
B.18
C.25
D.30
Answer: D.30
Explanation: Sol.
108 kmph = [108 x 5/18] m/sec = 30 m/sec.
Answer D
Question: A bag contains 3 white marbles and 3 black marbles. If each of 3 girls and 3 boys randomly selects and keeps a marble, what is the probability that all of the girls select the same colored marble?
A.1/35
B.1/10
C.1/15
D.1/20
Answer: B.1/10
Explanation: first, total ways to select for all boys and girls, i.e 6!/(3!*3!) = 6*5*4*3*2*1/3*2*1*3*2*1=20
then there are one two way girls can have all same colors, either white or black.
The number of ways in which 3 girls can select 3 white balls = 3C3 = 1
The number of ways in which 3 girls can select 3 black balls = 3C3 = 1
Therefore, total favorable outcomes/total outcomes = 2/20= 1/10
B
Question: A store reduced the price of all items in the store by 12% on the first day and by another 10% on the second day. The price of items on the second day was what percent of the price before the first reduction took place?
A.80.0
B.79.2
C.81.0
D.81.1
Answer: B.79.2
Explanation: consider price of the all items as $100
after a initial reduction of 12% price becomes = 0.88 *100 = $ 88
after the final reduction of 10% price becomes = 0.9* 88 = $ 79.2
price of all items on second day is 79.2% of price on first day
correct answer option B
Question: Claire has a total of 96 pets consisting of gerbils and hamsters only. One-quarter of the gerbils are male, and one-third of the hamsters are male. If there are 25 males altogether, how many gerbils does Claire have?
A.84
B.50
C.54
D.57
Answer: A.84
Explanation: G+H =96 ...1 ; G/4 +H/3 =25 ....2 OR 3G +4H =25*12 =300
G =96-H OR 3(96-H) +4H =300 H = 300-288 =12 THEN G= 96-12 =84
A
Question: A trader sells 40 metres of cloth for Rs.8200 at a profit of Rs.20 per metre of cloth. How much profit will the trder earn on 40 metres of cloth?
A.Rs.800
B.Rs.1500
C.Rs.1000
D.Rs.1200
Answer: A.Rs.800
Explanation: Explanation:
SP of 1 metre cloth = 8200/40 = Rs.205.
CP of 1 metre cloth = Rs.205 – 20 = Rs.185
CP on 40 metres = 185 x 40 = Rs.7400
Profit earned on 40 metres cloth = Rs.8200 – Rs.7400 = Rs.800.
Answer: Option A
Question: Eleven bags are bought for Rs.1000 and sold at 10 for Rs.1100. What is the gain or loss in percentage?
A.10%
B.21%
C.25%
D.20%
Answer: B.21%
Explanation: Explanation:
As selling price is Rs.1100 for 10 bags, each bag is sold at Rs.110.
Hence, the profit is Rs.100 after selling 10 bags plus the selling price of 1 bag = 100 + 110 = Rs.210.
%profit = 210/1000 *100
= 21%
ANSWER B
Question: Selling an kite for Rs. 30, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
A.8%
B.10%
C.11%
D.15%
Answer: A.8%
Explanation: Explanation:
Marked price = Rs. 30
C.P. = 100/120 * 30 = Rs. 25
Sale price = 90% of Rs. 30 = Rs. 27
Required gain % = 0.2/25 * 100 = 8%.
Answer: A
Question: Before a salary increase, the weekly salary of a worker for 44 hours in a week was as much as the worker is paid now for 40 hours of work in a week. What is the percent increase in the worker's salary per hour?
A.4
B.6
C.8
D.10
Answer: D.10
Explanation: Let x be the original salary per hour.
Let y be the salary per hour after the increase.
40y=44x
y=(44/40)x=1.1x
The salary increased 10%.
The answer is D.
Question: The length of a room is 5.5 m and width is 3.75 m. What is the cost of paying the floor by slabs at the rate of Rs.800 per sq. metre.
A.12000
B.19500
C.18000
D.16500
Answer: D.16500
Explanation: AREA = 5.5 * 3.75 SQ MT
COST FOR 1 SQ M = 800
TOT COST = 5.5 * 3.75 * 800 = 5.5 = 3000 = 16500
ANSWER D
Question: The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
A.43%
B.47%
C.50%
D.65%
Answer: C.50%
Explanation: Let original length = x and original breadth = y.
Original area = xy.
New length = x .
2
New breadth = 3y.
New area = x x 3y = 3 xy.
2 2
Increase % = 1 xy x 1 x 100 % = 50%.
2 xy
C
Question: Concentrated plums juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated plums juice, at the most, can fit into 3 wooden boxes?
A.24.
B.28.
C.36.
D.42.
Answer: A.24.
Explanation: Concentrated plums juice comes inside a cylinder tube since height of a tube is 15 inches , the tubes can fit only in one way .
now, diameter of each tube = 5 inches
therefore, 4*2 can be put in each wooden box
in 3 boxes 3*4*2 can be accommodated
= 24=A
Question: If Ajay completes a certain work in 8 days and Vijay can complete the same work in 24 days, find the time in which the work will be completed if both Ajay and Vijay work together.
A.12 days
B.16 days
C.6 days
D.10 days
Answer: C.6 days
Explanation: Explanation:
On working together Ajay and Vijay can complete the work in (8*24)/(8 + 24)
= 192/32
= 6 days
ANSWER: C
Question: To be eligible for retirement benefits at the Sieman Corporation, the sum of an employee's age, in years, and the number of years employment must be at least 62. If a, where a <62, is a certain employee's age when hired and b is the minimum number of years of employment required for the employee to be eligible for retirement benefits, which of the following equations represents the relationship between a and b?
A.ab=62
B.a+2b=62
C.2a+2b=62
D.2a+b=62
Answer: B.a+2b=62
Explanation: We are told that when a certain employee was hired he was a years old and that the he needed minimum b years to be eligible for benefits.
Now,after b years of employment, when the employee will be be eligible for benefits, the employee will be a+b years old and will have b years of employment, thus{age after b years}+{employment years}=(a+b)+b=a+2b=62
Answer: B
Question: A disease has infected an ant colony that consists of "workers" and "soldiers": 30% of the soldiers and 14% of the "workers" were infected. If that colony is inhabited by 7000 ants, out of which 1700 are infected, how many "workers" inhabit the colony?
A.1500
B.2500
C.2750
D.3000
Answer: B.2500
Explanation: From two question we get wo equations:
(1) 0,3s + 0,14w = 1700
(2) s + w = 7000
From (2) we get w=7000-s
In (1) 0,3s + 980-0,14s= 1700
0,16s=720
72000:16= 4500 =s
In (2) 4500 + w = 7000
w= 2500
ANSWER:B
Question: A bag contains 7 red, 5 blue and 4 green balls. If 2 ballsare picked at random, what is the probability that both are red?
A.2/15
B.2/21
C.7/40
D.3/29
Answer: C.7/40
Explanation: P(Both are red),
=7C216C2=7C216C2
=21/120= 7/40
C
Question: Rs.385 were divided among X,Y,Z in such a way that X had Rs.20 more than Y and Z had Rs 15 more than X . How much was Y’s share?
A.Rs.130
B.Rs.145
C.Rs.154
D.Rs.160
Answer: B.Rs.145
Explanation: Let Y gets Rs x. Then We can say X gets Rs (x + 20 ) and Y gets Rs ( x + 35) .
x + 20 + x + x + 35 = 385
3x = 330
x = 110 .
R’s share = Rs ( 110 + 35 ) = Rs.145
B
Question: Susan drove an average speed of 30 miles per hour for the first 60 miles of a tripthen at a average speed of 60 miles/hr for the remaining 30 miles of the trip if she made no stops during the trip what was susan's avg speed in miles/hr for the entire trip
A.35
B.36
C.45
D.50
Answer: B.36
Explanation: Avg. speed = total distance / total time
Total distance = 90 miles
Total time = 60 / 30 + 30/60 = 5/2
Avg. speed = 36
Answer - B
Question: M = {-6, -5, -4, -3, -2}
T = {-3, -2, -1, 0, 1, 2, 3, 4}
If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?
A.0
B.1/3
C.2/5
D.1/2
Answer: D.1/2
Explanation: We will have a negative product only if 1, 2, 3, or 4 are selected from set T.
P(negative product) = 4/8 = 1/2
The answer is D.
Question: A man travelled for 13 hours. He covered the first half of the distance at 20 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by the man?
A.168 km
B.864 km
C.200 km
D.240 km
Answer: C.200 km
Explanation: Let the distance travelled be x km.
Total time = (x/2)/20 + (x/2)/25 = 13 => x/40 + x/50
= 13 => (5x + 4x)/200 = 13 => x
= 200 km
Answer: C
Question: When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1/3 taller than it was at the end of the 4th year. By how many feet did the height of the tree increase each year?
A.3/10
B.2
C.1/2
D.2/3
Answer: B.2
Explanation: Say, the tree grows by x feet every year.
Then, 4 + 6x = (1+1/3)(4+4x)
or, x = 2
Answer B
Question: Find the minimum value of n such that 50! is perfectly divisible by 2520^n.
A.0
B.1
C.2
D.3
Answer: B.1
Explanation: 50!/2520^n
2520 -> 2^3 * 3^2 * 5^1 * 7^1
Here 7 is the largest prime factor...
So in order to find the minimum value of "n", it is enough to find the minimum power of "7"... nd for maximum value of "n", find max power of 7...
For max. value of n, find
50/7^1 + 50/7^2 = 7 + 1 = 8 [quotient only]
Max. value of n which is perfectly divisible by 2520^n is (8)
Min. value is 1
Max value : 8
Min Value : 1
ANSWER:B
Question: Select the non termination decimal among the following.
A.7/3
B.3/4
C.4/5
D.7/8
Answer: A.7/3
Explanation: A. Non terminating decimal means that 7/3 = 2.333333 and so on.
Question: A women buys some shoestrips and then 4 times of that she buys packet pins and then 8 times of shoestrips she buys handkerchiefs Finally she has a bill of Rs3.24. She pays for each article as many paise as there are articles(of that particular item).Now whats the number of handkerchiefs?
A.15
B.16
C.17
D.18
Answer: B.16
Explanation: 16
ANSWER:B
Question: A watch was sold at a loss of 20%. If it was sold for Rs.520more, there would have been a gain of 6%. What is the cost price?
A.Rs.1500
B.Rs.2000
C.Rs.3000
D.Rs.4200
Answer: B.Rs.2000
Explanation: 80%
106%
--------
26% ---- 520
100% ---- ? => Rs.2000
Answer:B
Question: Sid began driving from home on a trip averaging 30 miles per hour. How many miles per hour must Carla drive on average to catch up to him in exactly 3 hours if she leaves 30 minutes after Sid?
A.35
B.55
C.39
D.40
Answer: A.35
Explanation: Carla starts 30 minutes later and it takes 3 hr for carla to meet Sid
So Sid total time travelled = 3hr + 30 minutes
Sid distance = 30 * (3 1/2) = 105
so carla need to travle 105 to meet Sid in 3 hrs
speed of carla = 105/3 = 35 miles per hour
Answer is A
Question: What will come in place of the x in the following Number series? 73205, 6655, 605, 55, x
A.32564
B.73205
C.62343
D.54756
Answer: B.73205
Explanation: (B)
5 x 11 = 55, 55 x 11 = 605, 605 x 11 = 6655, 6655 x 11 = 73205
Question: Rahim bought 65 books for Rs.1150 from one shop and 50 books for Rs.920 from another. What is the average price he paid per book ?
A.Rs.17
B.Rs.18
C.Rs.12
D.Rs.11
Answer: B.Rs.18
Explanation: Average price per book
= (1150 + 920) / (65 + 50) = 2070 / 115
= Rs.18
Answer:B
Question: If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing thesame no. by 31
A.2
B.4
C.5
D.7
Answer: C.5
Explanation: P ÷ 44 = 432
=> P = 432 * 44 = 19008
P / 31 = 19008 / 31 = 613, remainder = 5
C
Question: In a office work is distribute between p persons. If 1/8 members are absent then work increased for each person is?
A.13.28%
B.14.28%
C.15.28%
D.16.28%
Answer: B.14.28%
Explanation: let total % of work is 100%
total person=p
1/8 person are absent of total person . so absent person is 1/8p ie p/8.
left person is, p-p/8=7p/8.
p person do the work 100%
1 person do the work 100*p%
7p/8 person do the work (100*p*8)/7p%=114.28%
work increased for each person is=(114.28-100)%=14.28%
ANSWER:B
Question: If n is the smallest integer such that 864 times n is the square of an integer, what is the value of n?
A. 2
B. 3
C. 6
D. 12
Answer: B. 3
Explanation: 865 can written as = 2 * 2 * 2 * 2*2 * 3 * 3 * 3 --> 2^5 * 3^3 ---(1)
so for 864 * n to be a square of an integer, the integer should have even powers to the prime numbers it composed of.
here 2 already has even power -> So n has to be 3 to make the power of 3 in (1) even
Option B is correct
Question: Set M contains number that satisfy the condition that, if integer x is in the set then x + 5 will also be in the set M. If -4 is one value in the set, which of the following values must also be present in the set M? I) -9 II) 1 III) 6
A.I only
B.II only
C.I and II only
D.II and III only
Answer: D.II and III only
Explanation: Since -4 is in the set, then the set must also include 1, 6, 11, 16, etc...
Depending on whether -4 is the starting element in the set or not, we can have -9...or not.
The answer is D.
Question: In a party attended by 14 persons, each clinch their glass with every other. How many glass clinches?
A.91
B.92
C.93
D.94
Answer: A.91
Explanation: Total no. of person = 11
Total no. of glass clinches = n(n-1)/2
=14*13/2
=91
ANSWER:A
Question: A boat can travel with aspeed of 30km/hr in still water. If the speed of the stream is 5km/hr, find the time taken by the boat to go 70km downstream.
A.1 hr
B.2 hrs
C.3 hrs
D.4 hrs
Answer: B.2 hrs
Explanation: Speed downstream = (30 + 5) km/hr = 35 km/hr.
Time taken to travel 68 km downstream = 70/35 hrs = 2 hrs.
B
Question: The amounts of time that three secretaries worked on a special project are in the ratio of 2 to 3 to 5. If they worked a combined total of 90 hours, how many hours did the secretary who worked the longest spend on the project?
A.80
B.70
C.56
D.45
Answer: C.56
Explanation: 10x = 90
=> x = 9
Therefore the secretary who worked the longest spent 9 x 5 = 45 hours on the project
Option (C)
Question: A car travels uphill at 30 km/hr and downhill at 40 km/hr. It goes 100 km uphill and 50 km downhill. Find the average speed of the car?
A.32kmph
B.33kmph
C.34kmph
D.35kmph
Answer: B.33kmph
Explanation: avg speed=total distance/total time.
total distance traveled=100+50=150km;
time taken for uphill journey=100/30=10/3;
time taken for down hill journey=50/40=5/4;
avg speed=150/(10/3+5/4)=33kmph
ANSWER:B
Question: In a certain pond, 80 fish were caught, tagged, and returned to the pond. A few days later, 80 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what`s the approximate number of fish in the pond?
A.400
B.625
C.1250
D.3200
Answer: D.3200
Explanation: The percent of tagged fish in the second catch is 2/80*100 = 2.5%.
We are told that 2.5% approximates the percent of tagged fish in the pond. Since there are 80 tagged fish, then we have 0.025x = 80 --> x = 3,200.
Answer: D.
Question: An empty fuel tank to a car was filled with A type of petrol. When the tank was half empty, it was filled with B type of petrol. Again when the tank was half empty, it was filled with A type of petrol. When the tank was half empty again,it was filled
A.50%
B.40%
C.33.5%
D.37.5%
Answer: D.37.5%
Explanation: Now, amount of petrol A = A⁄4 + A⁄8 = 3A⁄8
∴ required% = 3A⁄ (8 × A) × 100 = 37.50%
Answer D
Question: The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 10 and 12. The larger of the two numbers is:
A.276
B.295
C.322
D.345
Answer: A.276
Explanation: Clearly, the numbers are (23 x 10) and (23 x 12).
Larger number = (23 x 12) = 276.
Answer: Option A
Question: A student has to read one history book of 200 pages and one science book of 300 pages . At the end of first day, if 57 percent of the pages in history book and 42 percent of the pages in science book were read, what percent of the total number of pages were read ?
A. 45.5%
B. 46.5%
C. 48.0%
D. 49.5%
Answer: C. 48.0%
Explanation: 57% of 200 pages in history book, hence 0.57*200 = 114 pages read.
42% of 300 pages in science book, hence 0.42*300 = 126 pages read
Thus (total read)/(total) = (114 + 126)/(200 + 300) = 240/500 =
48% pages read
Answer: C.
Question: The population of a town is 8000. It decreases annually at the rate of 20% p.a. What will be its population after 2 years?
A.4300
B.4500
C.5120
D.5230
Answer: C.5120
Explanation: Formula :
( After =100 denominator
Ago = 100 numerator)
8000 × 80/100 × 80/100 = 5120
C
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 900 m long?
A.200 Sec
B.210 Sec
C.167 Sec
D.197 Sec
Answer: B.210 Sec
Explanation: L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 2100 m
T = D/S
T = 2100/10
T = 210 Sec
Answer: B
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
A.3/7
B.3/2
C.3/5
D.3/6
Answer: B.3/2
Explanation: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 ==> 27 x + 17 y = 23 x + 23 y ==> 4 x = 6 y ==> x/y = 3/2.
Answer:B
Question: The base of a parallelogram is twice its height. If the area of the parallelogram is 72 sq. cm, find its height
A.6
B.8
C.9
D.9
Answer: A.6
Explanation: Explanation:
Let the height of the parallelogram be x. cm. Then, base = (2x) cm.
Answer: A) 6
Question: A and B can do a work in 20days, B and C can do it in 30days; A,B and C together can finish it in 40days. A and C together will do it in?
A.25days
B.30days
C.20days
D.15days
Answer: B.30days
Explanation: A+B+C 1day work = 1/40
A+B 1day work = 1/20
B+C 1day work = 1/30
A+C 1day work = 2*1/40 - 1/20+1/30 = 1/30
A and C together will do the work in 30 days.
Answer is B
Question: A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 4 employees to 2 different offices?
A.5
B.16
C.7
D.8
Answer: B.16
Explanation: Ans. Each employee can go into any of the two offices. Thus we have
=> 2 * 2 * 2 * 2= 16
Answer : B
Question: At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
A.5
B.4
C.5 1/2
D.7
Answer: B.4
Explanation: 150 = (750*5*R)/100
R = 4%
ANSWER B
Question: The prices for five dresses Susan was considering were $60, $125, $80, $70 and $x. If the median price was $5 lower than the average (arithmetic mean) price, which of the following could be $x?
A.$80
B.$85
C.$90
D.$95
Answer: C.$90
Explanation: Look at the options available
Value of x seems to $80 < = $x < = $100
A. $80
B. $85
C. $90
D. $95
E. $100
So position of $x is fourth
$60 , $70 , $80 , $x , $125
Median = $80
Median price was $5 lower than the average, so average = $85
$60 + $70 + $80 + x + $125 = $425
$x = $90 = Answer = C
Question: How many minimum number's of whole square slabs are required for paving the floor 12.96 meters long and 3.84 meters side?
A.216
B.192
C.108
D.256
Answer: A.216
Explanation: HCF of 384, 1296 = 48
48 * 48 * x = 384 * 1296
x = 216
ANSWER:A
Question: A football player scores 2 goals in his fifth match thus increasing his average goals score by 0.3. The total number of goals in his 5 matches would be
A.4
B.6
C.8
D.10
Answer: A.4
Explanation: While this question can be solved with a rather straight-forward algebra approach (as the other posters have noted), it can also be solved by TESTing THE ANSWERS. One of those numbers MUST be the total number of goals...
From a tactical standpoint, it's best to TEST either Answer B or Answer D, so if the answer is not correct, then you would have a gauge for whether you should gohigherorlowerwith your next TEST.
Here, I'll start with Answer A = 4 goals
If....
Total goals = 4 goals
5th game = 2 goals
1st 4 games = 2 goals
Avg. for 1st 4 games = 2/4 = 0.5 goal/game
Avg. for all 5 games = 4/5 =0.8 goals/game
This is an EXACT MATCH for what we're told in the prompt, so Answer A MUST be the answer.