RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The food in a camp lasts for 40 men for 35 days. If ten more men join, how many days will the food last?
A.34days
B.32days
C.30days
D.28days
Answer: D.28days
Explanation: one man can consume the same food in 40*35 = 1400 days.
10 more men join, the total number of men = 50
The number of days the food will last = 1400/50 = 28 days.
Answer: D
Question: The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ?
A.71 years
B.72 years
C.73 years
D.74 years
Answer: A.71 years
Explanation: Answer : A.
Required sum = (80 - 3 x 3) years = (80 - 9) years = 71 years.
Question: If (x+4)^2/(x+10)=8, then the difference between the two possible values of x is:
A.2
B.6
C.12
D.16
Answer: D.16
Explanation: (x+4)^2/(x+10)=8
(x+4)^2=8(x+10)
x^2+8x+16=8x+80
x^2-64=0
(x-8)(x+8)=0
x=8 or x=-8
The answer is D.
Question: If m and n are nonzero integers and 390m = 150n, then mn must be divisible by
A.10
B.45
C.50
D.65
Answer: D.65
Explanation: 390m = 150n;
m/n = 5/13.
m is a multiple of 5 and n is a multiple of 13, therefore mn must be a multiple of 5*13 = 65.
Answer: D.
Question: A is the average (arithmetic mean) of the first 7 positive multiples of 6 and B is the median of the first 3 positive multiples of positive integer n. If the value of A^2 – B^2 is zero, what is the value of n?
A.8
B.10
C.12
D.16
Answer: C.12
Explanation: If A^2 - B^2 = 0, then let's assume that A = B.
A must equal the 4th positive multiple of 4, thus A = 24, which also equals B.
B is the second positive multiple of n, thus n = 24/2 = 12.
The answer is C.
Question: Two pipes P and Q can fill a cistern in 10 and 25 minutes respectively. Both are opened together, but at the end of 5 minutes the first is turned off. How much longer will the cistern take to fill?
A.12 1/7
B.12 1/4
C.12 1/3
D.12 1/2
Answer: D.12 1/2
Explanation: 5/10+ x/25 = 1
x= 12 1/2 Answer: D
Question: 4 litres of water is mixed in certain amount of pure milk whose cost is Rs. 3 per litre. If the dishonest milkman earns a profit of 20% by selling the mixture at initial price then what is the quantity of pure milk obtained by the customer?
A.24
B.20
C.18
D.25
Answer: B.20
Explanation: cost given = Rs 3/ltr.
i.e cost earned through water mixture= 4*3 = 12 rs
therefore earned 20%, that is on water .. therefore total earned = 12*100/20 = 60 rs.
hence 60/3 = 20 ltr overall mixture!
ANSWER:B
Question: Ravi purchased 20 dozens of toys at the rate of Rs. 340 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
A.16.4%
B.1.2%
C.5.6%
D.34.1%
Answer: A.16.4%
Explanation: A
C.P. of 1 toy = 340/12 = Rs. 28.3
S.P of 1 toy = Rs. 33
Profit = 4.6/31.25 * 100 = 16.4%
Answer is A
Question: Let x, y and z be distinct integers, x and y are odd and positive, and z is even and
positive. Which one of the following statements cannot be true?
A.(x – z)^2 * y is even
B.(x – z)*y^2 is odd
C.(x – z)*y is odd
D.(x – y)^2 * z is even
Answer: A.(x – z)^2 * y is even
Explanation: Explanation :
Let x = 5, y= 3, z = 2 (according to the given condition)
(x – z)2 * y :- ( 5 - 2)2 * 3 = 27
(x – z) * y2 :- (5 - 2) * 32 = 27
(x – z) * y :- (5 - 2) * 3 = 9.
(x – y)2 * z :- (5 - 3)2 * 2 = 8.
Answer : A
Question: Boy sells a book for Rs. 450 he gets a loss of 10%, find CP of the book?
A.Rs.300
B.Rs.400
C.Rs.500
D.Rs.550
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: The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?
A.520 sq cm
B.840 sq cm
C.440 sq cm
D.120 sq cm
Answer: C.440 sq cm
Explanation: Explanation:
r = 7 h = 3
2πr(h + r) = 2 * 22/7 * 7(10) = 440 sq cm
Answer: C
Question: What will $2000 amount to in three years if it is invested at 20% per year compound interest, with the interest being compounded annually?
A.$3124
B.$3260
C.$3328
D.$3456
Answer: D.$3456
Explanation: After one year: 1.2 * $2000
After two years: (1.2)^2 * $2000
After three years: (1.2)^3 * $2000 = $3456
The answer is D.
Question: Solve the equation for x : 6x - 27 + 3x = 4 + 9 - x?
A.4
B.5
C.3
D.9
Answer: A.4
Explanation: 9 x + x = 13 + 27
10 x = 40 => x = 4
Answer:A
Question: Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:
A.3 9/17 hours
B.1 13 /17 hours
C.2 8/11 hours
D.4 1/ 2 hours
Answer: A.3 9/17 hours
Explanation: Explanation:
Pipes A and B can fill the tank in 5 and 6 hours respectively. Therefore,
part filled by pipe A in 1 hour =1/5
part filled by pipe B in 1 hour = 1/6
Pipe C can empty the tank in 12 hours. Therefore,
part emptied by pipe C in 1 hour =1/12
Net part filled by Pipes A,B,C together in 1 hour
=1/5+1/6-1/12=17/60
i.e., the tank can be filled in 60/17=3 9/17 hours.
Answer: Option A
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 40% but the selling price
remains constant, approximately what percentage of the selling price is the profit
A.67%
B.80%
C.90%
D.100%
Answer: A.67%
Explanation: Explanation:
Let C.P.= Rs. 100.
Then, Profit = Rs. 320,
S.P. = Rs. 420.
New C.P. = 140% of Rs. 100 = Rs. 140
New S.P. = Rs. 420.
Profit = Rs. (420 - 140) = Rs. 280
Required percentage = (280/420) * 100
= 66.67%(approx) =67%
Answer: A
Question: A family consists of grandparents, parents and three grand children. The average age of the grandparents is 67 years, that of the parents is 37 years and that of the grandchildren is 6 years. What is the average age of the family?
A.28 4â„7 years
B.31 5â„7 years
C.32 2â„7 years
D.27 1â„2 years
Answer: C.32 2â„7 years
Explanation: Required average = (67Ã—2+37Ã—2+6Ã—3/2+2+3)
=226/7
= 32 2â„7 years
Answer C
Question: A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
A.5 months
B.6 months
C.7 months
D.8 months
Answer: D.8 months
Explanation: Explanation:
Let B joined for x months. Then
85000×12:42500 × x = 3:1
⇒850×12:425x=3:1
⇒850×12×1=3×425x
Answer: Option D
⇒850×4=425x
⇒x=8
Question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
A.77 kmph
B.55 kmph
C.54 kmph
D.58 kmph
Answer: C.54 kmph
Explanation: S = 240/16 * 18/5
= 54 kmph
Answer: C
Question: A & B throws a pair of dice and winner is one who gets a sum of 9 first.if A starts throwing first
Then what is the ratio of A winning over B?
A.8/9
B.9/8
C.7/8
D.6/9
Answer: B.9/8
Explanation: probability of a person throwing first and winning is given by 1/(2-p)
1/(2-(1/9))=9/17 prob of a
prob of b is 8/17
prob (a/b) 9/8
ANSWER:B
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 8 different boat to go and 6 flight to return. In how many ways, can the boy perform his journey?
A.20
B.48
C.46
D.50
Answer: B.48
Explanation: Ans.(B)
Sol. Number of choices to go by ship = 8 Number of choices to return by airline = 6 From, fundamental principle, total number of ways of performing the journey = 8 x 6 = 48 ways
Question: A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the length of the train and its speed.
A.10 m/sec
B.15 m/sec
C.18 m/sec
D.19 m/sec
Answer: B.15 m/sec
Explanation: If length of train is l and speed of train is s, then
l/s = 8
(l+180)/s = 20
(l+180)/l = 20/8 =5/2
2l+360 =5*l
3*l= 360
l=120 mtrs
s= l/8 = 120/8 = 15 m/sec
ANSWER:B
Question: Sam and Nik start from A and B respectively at the same time and travel towards each other at constant speeds along the same route. Sam meets Nik at point C on the road which is 600m away from starting point A and 400m away from point B. The speed of Sam is 50 m/m(meter/minute). How much time did Sam take to cover the distance between A and B?
A.10 minutes
B.15 minutes
C.20 minutes
D.22 minutes
Answer: C.20 minutes
Explanation: total distance from A to B-
A - C = 600m, B - C = 400m;
therefore A-B = 1000m;
Vs=50 m/m;
therefore,
t = 1000/50 = 20 minutes.
option C
Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
A.27%
B.20%
C.25%
D.40%
Answer: B.20%
Explanation: 900 ---- 180
100 ---- ? => 20%
Answer: B
Question: The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest)?
A.28 years
B.11 years
C.20 years
D.17 years
Answer: C.20 years
Explanation: Present total age of the members = 26(5) = 130 years.
Present age of the youngest member = 10 years
Present total age of the remaining four members = 130 -10 = 120 years
Their average age at the time of the birth of the youngest member
= [120 - (4 * 10)] / 4
= 30 - 10
= 20 years.
Answer: C
Question: In a school the number of girls is 15 more that that of the boys. now if 19% of the girls were newly joined and 25% of the boys were newly joined the number of girls is 9 more than that of the boys how many girls and boys were there?
A.156
B.157
C.158
D.159
Answer: A.156
Explanation: In a school the number of girls is 15 more that that of the boys.
Means G = 15 + B ------ 1
now if 19% of the girls were newly joined and 25% of the boys were newly joined
Total Girls are 1.19G
Total Boys are 1.25B
girls is 9 more than that of the boys.
1.19G = 9 + 1.25B ------ 1
Solving 1 and 2
B= 147
G= 147 + 9 = 156
ANSWER:A
Question: Rose made a part payment of $300 toward buying a brand new car, which represents 5% of the total cost of the car, how much remains to be paid?
A.$5700
B.$5500
C.$5800
D.$5200
Answer: A.$5700
Explanation: Explanation:
Let's start with what the total price of the car would be. If 5% is equal to $300 then 100% equals $x. We just have to multiply $300 by 20 to get total amount=$6000. Out of this amount we then need to deduct the amount already paid which was $300 so we have $6000-$300=$5700
Answer: Option A
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is?
A.1/8
B.1/2
C.7/9
D.1/6
Answer: B.1/2
Explanation: The number of exhaustive outcomes is 36.
Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2
P(E) = 1 - 1/2
= 1/2.
Answer:B
Question: Pipe A can fill a tank in 16 hrs and pipe B can fill it in 24 hrs. If both the pipes are opened in the empty tank. In how many hours will it be fill 5/4th of that tank?
A.10
B.12
C.14
D.16
Answer: B.12
Explanation: Part filled A in 1 hr= (1/16)
Part filled B in 1 hr= (1/24)
Part filled by (A+B) together in 1 hr=(1/16)+(1/24)=5/48
So, The tank will be full in 48/5 hrs
Time taken to fill Exact quarter tank = (48/5) * (5/4) = 12 hrs
Answer : B
Question: The area of the Rest room is 40 m2 that of a longer wall 10 m2 and of the shorter wall 1 m2, find the edge of the new cube?
A.40 m3
B.10 m2
C.80 m3
D.20 m3
Answer: D.20 m3
Explanation: lb = 40 ; lh = 10 ; fh = 1
(lbh)2 = 40 * 10 * 1 => lbh = 20 m3
ANSWER:D
Question: A parts store is having a store-wide sale of 10% off all merchandise. An out-of-stock part can be backordered, but at a 20% fee. If a customer orders an out-of-stock part whose presale price was $40, how much will he pay?
A. $41.40
B. $42.00
C. $42.60
D. $43.20
Answer: D. $43.20
Explanation: price = (original price - 10% decrease) + 20% increase
price = [40 * (90/100)] * (120/100) = 40 * (.90) * (1.2) = 36 * 1.2 = 43.20
The answer is D.
Question: An ice cream store received shipments of ingredients on Tuesday and Wednesday. Tuesday's shipment had 6 different packages, with an average (arithmetic mean) of 11 and 2/3 pounds. Wednesday's shipment included 7 packages, weighing an average of 9 and 3/7 pounds. What was the average package weight, in pounds, of the shipments received on both days?
A.9 and 6/7 pounds
B.10 and 1/10 pounds
C.10 and 2/5 pounds
D.136/13 pounds
Answer: D.136/13 pounds
Explanation: Solution: Average weight = Total weight/number of packages. The total weight on Tuesday was 6 * (11 and 2/3 pounds), or 70 pounds. The total weight on Wednesday was 7 * (9 and 3/7 pounds), or 66 pounds. The sum of the weights for both days is 66 + 70, or 136 pounds. The average is 136 pounds/13 packages.
answer: D
Question: If 2464 / 1.12 = 2200, then 246.4 / 11.2 is equal to?
A.24
B.23
C.22
D.21
Answer: C.22
Explanation: Answer
Given expression 246.4 / 11.2 = 2464 / 112
= 2464 / (1.12 x 100)
= 2200 / 100
=22
Correct Option: C
Question: Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 25 kg of fresh grapes?
A.2 kg
B.2.4 kg
C.3.12 kg
D.10 kg
Answer: C.3.12 kg
Explanation: The weight of non-water in 25 kg of fresh grapes (which is 100-90=10% of whole weight) will be the same as the weight of non-water in x kg of dried grapes (which is 100-20=80% of whole weight), so 25âˆ—0.1=xâˆ—0.8--> x=3.12
Answer: C.
Question: On flipping 3 coins together what is the outcomes for at least One tail and three heads?
A.1/7
B.3/8
C.3/11
D.4/8
Answer: D.4/8
Explanation: Sample space, S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}
Favorable outcomes for at least two heads
= favorable outcomes for exactly two heads and favorable outcomes for more than two heads
= {HHT, HTH, THH,HHH}
4/8
D
Question: An agent wants to sell x% of a list of 10,000 apartments in a residential area. After market price decreases, the agent must reduce this selection by (x − 8)%. In terms of x, how many apartments will he be able to sell?
A.x*x – 8x
B.(x)(108 – x)
C.(100)(108 – x)
D.(100)(92 – x)
Answer: B.(x)(108 – x)
Explanation: Based on the answer choices and the question, this question begs the use of x=8 as a sample number.
Initial = 8%*10000 = 800
Reduction = 8-8=0%, so no math required here to calculate the reduction; just make sure that you can calculate 800 in your answer.
A. x*x – 8x = 0; No
B. (x)(108 – x) = 800; Winner!
C. (100)(108 – x) > 800; No
D. (100)(92 – x) > 800; No
E. (x-8)/100 = 0; No
B
Question: If four coins are tossed, the probability of getting two heads and two tails i
A.3/8
B.3/6
C.3/9
D.3/1
Answer: A.3/8
Explanation: Since four coins are tossed, sample space = 24
Getting two heads and two tails can happen in six ways.
n(E) = six ways
p(E) = 6/24 = 3/8
Answer:A
Question: At a dinner party,3 people are to be seated around a circular table. Two seating arrangements 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.1) 5
B.2) 10
C.3) 24
D.4) 2
Answer: D.4) 2
Explanation: for number of distinct arrangements of 'n' items around a circular table, we get the arrangements by way of (n-1)!
in this case, there are 3 guests, so number of distinct arrangements = 2! = 2
Answer : D
Question: A man can swim in still water at 9 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
A.1.7
B.1.9
C.3
D.1.5
Answer: C.3
Explanation: M = 9
S = x
DS = 9 + x
US = 9 - x
9 + x = (9 - x)2
9 + x = 18 -2x
3x = 9
x = 3
Answer:C
Question: In a city, 40% of the adults are illiterate while 85% of the children are literate. If the ratio of the adults to that of the children is 2 : 3, then what percent of the population is literate ?
A.20%
B.25%
C.50%
D.75%
Answer: D.75%
Explanation: ET POPULATION 100
RATIO IS 2:3
So adults=2*100/5=40 chldren=3*100/5=60
illterate adult 40*40/100=16
literate adult 24
literate chldren 51
so total literate is 75
ANSWER:D
Question: If x+y=4 and x2y3 + y2x3=36, what is the value of xy?
A.1
B.2
C.3
D.4
Answer: D.4
Explanation: xy=3
As x+y=4
x2y3+y2x3=36
x2y2(y+x)=36
Substituting x+y
x2y2=4
xy=4
ANSWER:D
Question: Trapezoid JKLM in the x-y plane has coordinates J = (–2, –1), K = (–2, 1), L = (6, 7), and M = (6, –1). What is its perimeter?
A. 34
B. 36
C. 31
D. 40
Answer: C. 31
Explanation: JK =2
LM = 11
KL =using distance formula 10
JM = using distance formula 8
Sum of all is 31
C
Question: The two lines y = x and x = -2 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length of a cube whose surface area is equal to 6z?
A.16
B.8√2
C.8
D.√2
Answer: D.√2
Explanation: 800score Official Solution:
The first step to solving this problem is to actually graph the two lines. The lines intersect at the point (-2, -2) and form a right triangle whose base length and height are both equal to 4. As you know, the area of a triangle is equal to one half the product of its base length and height: A = (1/2)bh = (1/2)(2 × 2) = 2; so z = 2.
The next step requires us to find the length of a side of a cube that has a face area equal to 2. As you know the 6 faces of a cube are squares. So, we can reduce the problem to finding the length of the side of a square that has an area of 2. Since the area of a square is equal to s², where s is the length of one of its side, we can write and solve the equation s² = 2. Clearly s = √2 , oranswer choice (D).
Question: The average of runs of a cricket player of 20 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 6 ?
A.96
B.106
C.158
D.116
Answer: C.158
Explanation: Average = total runs / no.of innings = 32
So, total = Average x no.of innings = 32 * 20 = 640
Now increase in avg = 4 runs. So, new avg = 32+6 = 38 runs
Total runs = new avg x new no. of innings = 38 * 21 = 798
Runs made in the 11th inning = 798-640 = 158
ANSWER:C
Question: 300 × ? + (12 + 4) × 1/8 = 602
A.A)4
B.B)3
C.C)5
D.D)2
Answer: D.D)2
Explanation: Explanation:
=> 300 × ? + (12 + 4) × 1/8 = 602
=> 300 × ? = 602 - (12 + 4) × 1/8
=> 300 × ? = 602 - 2 = 600
=> ? = 600/300 = 2
Answer: Option D
Question: Walking at the rate of 4 kmph a man cover certain distance in 2 hr 45 min. Running at a
speed of 16.5 kmph the man will cover the same distance in.
A.12 min
B.25 min
C.40 min
D.60 min
Answer: C.40 min
Explanation: Explanation :
Distance = Speed * time
4*11/4 = 11km
New Speed = 16.5 kmph
Therefore time = D/S = 11/16.5 = 40min
Answer : C
Question: If C is a whole number, C+1 is a whole number after that. If A is a whole number, what is a whole number before that?
A.-1
B.1
C.0
D.2
Answer: A.-1
Explanation: Solution:
We know that the number ‘0’ together with the natural numbers gives us the numbers 0, 1, 2, 3, 4, 5, …………… which are called whole numbers.
If A is a whole number and it is greater than 0 then the whole number before that is A – 1, which will always be a whole number.
Again, when A is a whole number and it is equal to 0 then the whole number before that is A – 1 which means 0 – 1 = -1, which is not a whole number.
Therefore, if A is a whole number then the number before that will not always be a whole number.
Answer A
Question: A can do a piece of work in 4 hours; B and C together can do it in 2 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?
A.2hours
B.3hours
C.4hours
D.5hours
Answer: C.4hours
Explanation: A's 1 hour work = 1/4;
(B + C)'s 1 hour work = 1/2;
(A + C)'s 1 hour work = 1/2
(A + B + C)'s 1 hour work = (1/4 + 1/2) = 3/4
B's 1 hour work = (3/4 - 1/2) = 1/4
B alone will take 4 hours to do the work.
Answer:C
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
A.289 cm2
B.285 cm2
C.287 cm2
D.267 cm2
Answer: B.285 cm2
Explanation: Area of a trapezium
= 1/2 (sum of parallel sides) * (perpendicular distance between them)
= 1/2 (20 + 18) * (15)
= 285 cm2
Answer: B
Question: Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond four years. If he pays a total interest of 11,900 at the end of nine years, how much money did he borrow?
A.10,526
B.12,526
C.14,000
D.16,000
Answer: B.12,526
Explanation: Let the sum borrowed be x. Then,
(x×6×21/00)+(x×9×3/100)+(x×14×4/100)= 11900
⇒ (3⁄25x + 27⁄100x + 14⁄25x) = 11400 ⇒ 95⁄100x = 11900
⇒ x = (11900×100/95)= 12526
Hence, sum borrowed = 12,526
Answer B
Question: A man has Rs. 544 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
A.102
B.38
C.37
D.90
Answer: A.102
Explanation: Let number of notes of each denomination be x.
Then x + 5x + 10x = 544
⇒ 16x = 544
∴ x = 34.
Hence, total number of notes = 3x = 102
Answer:A
Question: If r>0, which of the following must be true?
A.1 < r
B.0 < r < 2
C.-1 < r < 1
D.-10 < r
Answer: D.-10 < r
Explanation: All we know is that r is some positive number. Right away we can see that D must be true: if r is positive then it MUST be true that it's greater than -10. Still let's check each option.
A. 1 < r. We don't know whether the number is greater than 1, it could be a positive number less than or equal to 1. Discard.
B. 0 < r < 2. The same here: we don't know whether the number is less than 2, it could be more than or equal to 2. Discard.
C. -1 < r < 1. The same as A. Discard.
E. 1/100 < r. We don't know whether the number is greater than 1/100, it could be a positive number less than or equal to 1/100. Discard.
Answer: D.
Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
A.6
B.3
C.4
D.9
Answer: B.3
Explanation: D = 25 * 60 + 1500 = 3000 m
T = 3000/60 * 18/5 = 180 sec = 3 mins
Answer:B
Question: A motorcyclist started riding at highway marker A, drove 120 miles to highway marker B, and then, without pausing, continued to highway marker C, where she stopped. The average speed of the motorcyclist, over the course of the entire trip, was 20 miles per hour. If the ride from marker A to marker B lasted 3 times as many hours as the rest of the ride, and the distance from marker B to marker C was half of the distance from marker A to marker B, what was the average speed, in miles per hour, of the motorcyclist while driving from marker B to marker C?
A.40
B.135
C.50
D.55
Answer: B.135
Explanation: A- B = 120 Miles
B - C = 60 Miles
Avg Speed = 20 Miles
Time taken for A-B 3t and B-C be t
avg speed = (120+60) / Total time
20 = 180/4t
t = 135
B-C = 135mph
Answer B
Question: Margaret is 10 years more than twice the age of his son. The age of son is 12. Find the age of mother and find the difference between their ages
A.10yrs
B.22yrs
C.30yrs
D.40yrs
Answer: B.22yrs
Explanation: Let, age of son x=12
Margaret is 10 years more than twice the age of his son, y = 10+2(x)
=10+2(12)
=10+24
=34yrs
Difference = 34 - 12
=22yrs
ANSWER:B
Question: Tina’s cat weighs 2.6 kilograms. Her dog weighs 6 times as much as her cat. How much does her dog weigh in kilograms?
A.A)10.4kg
B.B)38kg
C.C)22kg
D.D)15.6kg
Answer: D.D)15.6kg
Explanation: 2.6*6=15.6kg.Answer is D.
Question: If it takes 70 workers 3 hours to disassemble the exhibition rides at a small amusement park, how many hours would it take 30 workers to do this same job?
A.40/3
B.11
C.7
D.7/3
Answer: C.7
Explanation: 70 Workers = 3 hours then,
1 Worker = 3*70 Hours
30 Workers = (3*70) /(30) = 7
ANSWER:C
Question: g(x) is defined as the product of all even integers k such that 0 < k ≤ x. For example, g(14) = 2 × 4 × 6 × 8 × 10 × 12 × 14. If g(e) is divisible by 4^11, what is the smallest possible value for e?
A. 22
B. 24
C. 28
D. 32
Answer: B. 24
Explanation: g(e)=4^11=2^22. So we have to find a product with atleast 22 2's in it.
in option 1 22 the total no of 2's = [22/2] + [22/4] +[22/8] +[22/16] = 11+5+2+1 = 19
in option 2 24 the total no of 2's = [24/2] + [24/4] +[24/8] +[24/16] = 12+6+3+1 = 22 . Hence B