RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Two trains start from two opposite directions towards each other. The stations from which they start are 50 miles apart. Both the trains start at the same time on a single track. A falcon which is sitting on one train. starts at the same time towards the other train. as soon as it reaches the second one, it flies back to the first train and so on and so forth. It continues to do so, flying backwards and forwards from one train to the other until the trains meet.
Both the trains travel at a speed of 25 miles per hour, and the bird flies at 100 miles per hour.
How many miles will the falcon have flown before the trains meet?
A.100 miles
B.140 miles
C.107 miles
D.230 miles
Answer: A.100 miles
Explanation: A
100 miles
The train travel at 25 miles per hour. Therefore, they will meet after travelling for one hour and the falcon also must have been flying for one hour. Since it travel at 100 miles per hour, the bird must have flown 100 miles.
Question: The edges of a cuboid are 2 cm, 5 cm and 8 cm. Find the volume of the cuboid?
A.90
B.80
C.40
D.120
Answer: B.80
Explanation: 2*5*8
= 80
Answer: B
Question: In the xy-plane, the line y = k is the perpendicular bisector of the line segment PQ and the line x = g is the perpendicular bisector of the line segment RQ. If the coordinates of the point R are (-g, -k), then what are the coordinates of the point P?
A.(-5g, -5k)
B.(-3g, -3k)
C.(2g, 2k)
D.(3g, 3k)
Answer: D.(3g, 3k)
Explanation: firstly the Question tells us that RQ and PQ are perpendicular at Q..
Now the coordinates of the point R are (-g, -k), so R is at a distance of 2g from line x and at dist of 2k from line Y..
as line X bisect RQ .... length of RQ =4g and coord (3g,-k)..
as line Y bisect PQ .... length of PQ =4k and coord (3g,3k).ans D
Question: If a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet, what is the length of each of the longer sides?
A.4
B.7
C.8
D.13
Answer: D.13
Explanation: This question can be solved algebraically or by TESTing THE ANSWERS.
We're told that a rectangle has an area of 104 and a perimeter of 42. We're asked for the length of one of the LONGER sides of the rectangle.
Since the answers are all INTEGERS, and the area is 104, the shorter side will almost certainly be less than 10 (since 10x10 = 100, but we're NOT dealing with a square). Answer B (7) does NOT divide evenly into 104, so the correct answer is probably A or C.
Let's TEST Answer C: 8
IF...
The shorter side = 8...
The area = 104....104/8 = 13 = the longer side
Perimeter = 8+8+13+13 = 42
D
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
A.81288
B.2776
C.3777
D.8112
Answer: D.8112
Explanation: A = 7500(26/25)2 = 8112.Answer: D
Question: A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 6 characters in length. This year, it added the option of creating passwords having 5 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 62 unique alphanumeric case sensitive characters.
A.63^4
B.62^5
C.62(62^4)
D.63(62^5)
Answer: D.63(62^5)
Explanation: Total number of passwords = number of 6 character password +number of 5 character password
= 62^6 + 62^5 (Since there is no limitation on repetition , each character can be chosen in 62 ways )
=62^5(1+ 62)
=62^5 * 63
Answer D
Question: What will come in place of the x in the following Number series? 12, 38, 116, x,
A.2643
B.350
C.3456
D.7554
Answer: B.350
Explanation: 12
12 Ã— 3 + 2 = 38
38 Ã— 3 + 2 = 116
116 Ã— 3 + 2 = 350
B
Question: Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?
A.1/7
B.1/9
C.1/8
D.1/4
Answer: A.1/7
Explanation: 3h = 5c
6c = 10s
A = 21h*3 + 15c*2
= 63h + 30c
= 105c + 30c = 135c
B = 15c*6 + 40s*7 1/2
= 90c + 300s
= 90c + 180c = 270c
A:B = 135:270
27:52
A = 27/79 = 1/3.Answer:A
Question: How many numbers between 300 and 500 begin or end with 3?
A.20
B.60
C.100
D.110
Answer: D.110
Explanation: How many numbers between 300 and 500 begin or end with 3?
Just think that those numbers are:
i) The ones ending in 3: 303, 313, 323, ... , 493 --> 20 numbers
ii) The ones beginning in 3: 300, 301, 302, 303, ... , 393, ... , 399 --> 100 numbers
BUT 10 out of the first 20 numbers are repeated in the second set.
THEREFORE, the solution is 110 numbers.
Answer: D
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
A.1/455
B.1/452
C.1/412
D.1/129
Answer: A.1/455
Explanation: Explanation:
Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
Probability that all the three marbles picked at random are blue = Â³Câ‚ƒ/Â¹âµCâ‚ƒ = (1 * 3 * 2 * 1)/(15 * 14 * 13) = 1/455
Answer: A
Question: 6 In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
A.5 kmph
B.6 kmph
C.6.25 kmph
D.7.5 kmph
Answer: A.5 kmph
Explanation: Let Abhay's speed be x km/hr.
Then,	30/X	-	30/2X	= 3
6x = 30
x = 5 km/hr. Answer: Option A
Question: How much does a watch lose per day, if its hands coincide every 64 minutes?
A.32 8⁄11 min.
B.36 5⁄11 min.
C.90 min.
D.96 min.
Answer: A.32 8⁄11 min.
Explanation: 55 min. spaces are covered in 60 min.
60 min. spaces are covered in (60⁄55 × 60) min.
= 655⁄11 min.
Loss in 64 min. = (655⁄11 - 64) = 16⁄11 min.
Loss in 24 hrs. = (16⁄11 × 1⁄64 × 24 × 60) min = 328⁄11 min.
Answer A
Question: The milk level in a rectangular box measuring 60 feet by 25 feet is to be lowered by 6 inches. How many gallons of milk must be removed? (1 cu ft = 7.5 gallons)
A.100
B.250
C.750
D.5625
Answer: D.5625
Explanation: 6 inches = 1/2 feet (there are 12 inches in a foot.), so 60*25*1/2=750 feet^3 of milk must be removed, which equals to 750*7.5=5625 gallons.
Answer: D.
Question: If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be?
A.4 days
B.7 days
C.8 days
D.5 days
Answer: A.4 days
Explanation: Let 1 men's 1 day work = x and 1 boy's 1 day work = y.
Then, 6x + 8y = 1/10 and 26x + 48y = 1/2
Solving these two equations, we get:
x = 1/100 and y = 1/200
(15 men + 20 boys)'s 1 day work = (15/100 + 20/200) = 1/4
15 men and 20 boys can do the work in 4 days.
Answer: A
Question: a, b, c, d are positive integers such that exactly one of the following inequalities is false. Which inequality is false?
A. a<b
B. c<d
C. a+c<b+c
D. a+c<b+d
Answer: B. c<d
Explanation: Essentially, we need to find the statement thatcouldbe false if all the other statements are true.
The first thing that jumps out to me is statements A and C:
(A) a < b
(C) a+c < b+c
Regardless of the value of c, these statement are either both false or both true. Since only statement CAN be false, we can eliminate these two.
(E) a < b+c+d
Since c and d are both positive integers, and we have determined that statement A is true, statement E must be true as well. This leaves us with:
(B) c < d
(D) a+c < b+d
Since we know statement A (a < b) to be true, if statement B is true, statement D MUST be true. However, if statement D is true, as long as c-d < b-a, statement B does NOT have to be true.
Therefore, the answer isB: c < d. Good question, +1.
Question: Tourist purchased a total of 30 travelers checks in $50 and $100 denominations. The total worth of the travelers checks is $1800. How many checks of $50 denominations can he spend so that average amount (arithmetic mean) of the remaining travelers checks is $100?
A.4
B.12
C.15
D.22
Answer: D.22
Explanation: you could set-up a quick table and brute force the answer.
A	4	*	50	200 1800	-200 1600	26 61.54
B	12	*	50	600 1800	-600 1200	18 66.67
C	15	*	50	750 1800	-750 1050	15 70.00
D	22	*	50	1000 1800	-1000	800	8 100.00
E	24	*	50	1200 1800	-1200	600	6 100.00
Answer is D
Question: A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
A.Rs.2400
B.Rs.1800
C.Rs.3600
D.Rs.6000
Answer: A.Rs.2400
Explanation: 1200 * 12: x * 9 = 2:3
x = 2400
ANSWER:A
Question: If {x} is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of {12} + {10}?
A.23
B.20
C.13
D.5
Answer: C.13
Explanation: Soln:
{12} + {10} = 12*{10} +{10} = 13*{10}
ANSWER:C
Question: The length of a rectangle is twice its breadth. If its lengthis decreased by 5cm & breadth is increased by 5cm, the area of the rectangle is increased by 75sq.cm. What is the length of the rectangle?
A.25 cm
B.30 cm
C.40 cm
D.45 cm
Answer: C.40 cm
Explanation: Let breadth =x cm
Then, length =2x cm
Area =x×2x=2x2 sq.cm.
New length =(2x−5) cm
New breadth =(x+5) cm
New area =(2x−5)(x+5) sq.cm.
Given that, new area = initial area +75 sq.cm.
⇒(2x−5)(x+5)=2x2+75⇒2x2+10x−5x−25=2x2+75⇒5x−25=75⇒5x=75+25=100⇒x=1005=20 cm
Length =2x=2×20=40 cm
C
Question: A batsman scored 120 runs which included 5 boundaries and 5 sixes. What percent of his total score did he make by running between the wickets?
A.45
B.58.33%
C.600/11
D.55
Answer: B.58.33%
Explanation: Explanation :
Number of runs made by running,
=>120−(5×4+5×6).
=>120−(50).
=>70.
Hence, the required percentage is:-
=>70/120 * 100
=>58.33%
Answer : B
Question: If |x^2 − 2| = x, which of the following could be the value of x?
A.-2
B.-1
C.0
D.1
Answer: D.1
Explanation: The LHS is not negative, so the RHS is also not negative. Thus x >= 0.
First, let's assume that x^2-2 is negative.
-(x^2 - 2) = x
x^2 + x - 2 = 0
(x+2)(x-1) = 0
x = 1 or x = -2 (However, x can not be negative.)
Then x = 1 is a possible value for x.
The answer is D.
Question: If 2^z is a factor of 24!, which of the following could be the value of z?
I. 22
II. 23
III. 24
A.I ​only
B.II only
C.I​ and II
D.I, II, and III
Answer: A.I ​only
Explanation: 24! contains all numbers from 1 to 24. To find the factor with the highest power of 2, we count the number of multiples of 2, 4, 8 and 16.
Multiples of 2 = 12
Multiples of 4 = 6
Multiples of 8 = 3
Multiples of 16 = 1
Total count = 22
The answer is A.
Question: How many liters of water must be evaporated from 50 liters of a 6-percent sugar solution to get a 10-percent solution?
A.20
B.22
C.24
D.26
Answer: A.20
Explanation: 6% of a 50 liter solution is 3L which is 10% of the solution at the end.
The solution at the end must be 30 L.
We need to evaporate 20 liters.
The answer is A.
Question: log3 N+log12 N what is 3 digit number N that will be whole number
A.6291
B.7292
C.1728
D.1929
Answer: C.1728
Explanation: No of values N can take is 1
12^3=1728
ANSWER:C
Question: Set X consists of all two-digit primes and set Y consists of all positive multiples of 4 less than 100. If the two sets are combined into one, what will be the range of the new set?
A. 84
B. 93
C. 90
D. 92
Answer: B. 93
Explanation: Set X = {11, 13, 17,............., 83, 89, 97}
Set Y = {4, 8, 12,..............., 88, 92, 96}
Combining two sets, say Set Z
Set Z = {4,8, 11, 12,13, 17, ..................., 83, 88, 89, 92, 96, 97}
Range = Max Value - Min Value
Range (Z) = 97 - 4 = 93
OA B is the answer.
Question: A baker sold all of his donuts for a total amount of 216 pounds. If on each donut the baker made a profit of 8% of the cost, how much did it cost the baker to make all the donuts?
A.210.
B.200.
C.190.
D.180.
Answer: B.200.
Explanation: THE CORRECT ANSWER IS B
Cost of donuts = X
Profit on one donut = 8%
Profit on all donuts is also =8% (Well, you must know why it is so !! IF you don't know then please revisist percentage chapter again.. ok ok.. i have given the explanation at the end of the solution.... understand it , if you are confused)
X+8% of X =216
1.08X=218
X=218/1.08
X=200
answer is B
Question: A man purchases the milk at Rs. x per liter and sells it at Rs. 2x/liter stillhe mixes 2liters water with every 6liters of pure milk. Whatis the profit %?
A.145%
B.150%
C.155.7%
D.166.6%
Answer: D.166.6%
Explanation: Let the cost price of 1 litre pure milk be Re.1, then
\inline{6litres(milk)→CP=Rs.62litres(water)→CP=Rs.0}{6litres(milk)→CP=Rs.62litres(water)→CP=Rs.0}\rightarrow CP=Rs.6 only
and 8 litre mixture \rightarrow SP \rightarrow 8 x 2 = Rs.16
Profit %= 166.66%
D
Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
A.27%
B.20%
C.80%
D.30%
Answer: B.20%
Explanation: 900 ---- 180
100 ---- ? => 20%
Answer: B
Question: Lisa and Robert have taken the same number of photos on their school trip. Lisa has taken 3 times as many photos as Claire and Robert has taken 24 more photos than Claire. How many photos has Claire taken?
A.6
B.8
C.10
D.12
Answer: D.12
Explanation: L = R
L = 3C
R = C + 24
3C = C + 24
C = 12
The answer is D.
Question: If r = 2^4 * 5^2 * 7 and s = 2^2 * 3^2 * 5, which of the following is equal to the greatest common divisor of r and s?
A.2 * 5
B.2^2 * 5
C.2^3 * 5^2
D.2*3*5*7
Answer: B.2^2 * 5
Explanation: GCD = product of prime factors raised to the least power = 2^2 * 5
The answer is B.
Question: Find the total number of four digit numbers that can be formed using the digits 1,2,5,6.
A.253
B.256
C.258
D.260
Answer: B.256
Explanation: no. will be formed by taking all at a time with repititon allowed
total=4*4*4*4=256
ANSWER:B
Question: A train speeds past a pole in 25 seconds and a platform 200 m long in 30 seconds. Its length is:
A.1200 m
B.2000 m
C.1500 m
D.1000 m
Answer: D.1000 m
Explanation: Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 25 => y = x/25
x + 200 / 30 = x / 25
x = 1000 m.
Answer: Option D
Question: Eight cubes, each with a volume of 512 cm^3, are joined to form one large cube. What is the surface area of the large cube?
A.4096 sq cm
B.1536 sq cm
C.1024 sq cm
D.2048 sq cm
Answer: B.1536 sq cm
Explanation: volume = a x a x a = a ^3
volume of cube = 8 x 512 = 4096 cm^3
4096 = a^3
a = 16
surface area of cube = 6 a^2 = 6 x 16^2 = 1536
Answer is B
Question: What amount does Kiran get if he invests Rs.9800 at 12% p.a. compound interest for three years, compounding done annually?
A.13456
B.13487
C.18978
D.13456
Answer: B.13487
Explanation: A= P{1 + R/100}n
=> 9600{1 + 12/100}3
= Rs.13487
Answer: B
Question: Having received his weekly allowance, a student spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $1.20 at the candy store. What is this student’s weekly allowance?
A.$3.50
B.$4.00
C.$4.25
D.$4.50
Answer: D.$4.50
Explanation: Let x be the value of the weekly allowance.
(2/3)(2/5)x = 120 cents
(4/15)x = 120
x = $4.50
The answer is D.
Question: Of the 30 employees of a certain company, 10 are accountants. 2 employees of the company will be selected at random. Which of the following is closest to the probability that neither of the employees selected will be an accountant?
A.P(E)=0.43
B.0.36
C.0.31
D.0.52
Answer: A.P(E)=0.43
Explanation: We can Solve this by two ways:
either find the probability by = 1-(both accountant+atleast one accountant)
or direct from = P(both non accountant)
second is easier but requires calculation if don't do the approximation.
So probability= (20/30)*(19/29) = 0.43
so the answer is A
Question: w, q, and r are positive integers. If w, q, and r are assembled into the six-digit number wqrwqr, which one of the following must be a factor of wqrwqr?
A. 23
B. 19
C. 17
D. 7
Answer: D. 7
Explanation: One short way -
wqrwqr = 1000wqr + wqr = (1000+1)wqr = 1001wqr
Therefore any factor of 1001 is a factor of wqrwqr
7 is a factor of 1001
So D
Question: Express a speed of 84 kmph in meters per second?
A.13.33 mps
B.23.33 mps
C.33.33 mps
D.25.33 mps
Answer: B.23.33 mps
Explanation: 84 * 5/18 = 23.33 mps
ANSWER:B
Question: Calculate the fourth proportional to 1.8, 2.9 and 5.2?
A.7.38
B.8.38
C.8.19
D.20.38
Answer: B.8.38
Explanation: Explanation:
Formula = Fourth propotional = (b × c)/a
A = 1.8 , B = 2.9 and C = 5.2
(2.9 × 5.2)/1.8 = 8.38
Answer: Option B
Question: A car averages 30 miles per hour for the first 5 hours of a trip and averages 42 miles per hour for each additional hour of travel time. If the average speed for the entire trip is 38 miles per hour, how many hours long is the trip?
A.13
B.14
C.15
D.16
Answer: C.15
Explanation: Let T be the total time of the trip.
30*5 + 42(T-5) = 38T
4T = 210-150
T = 15
The answer is C.
Question: In how many different ways could couples be picked from 8 men and 5 women?
A.8
B.5
C.13
D.40
Answer: D.40
Explanation: Number of mens = 8
Number of womens = 5
Different ways could couples be picked = 8c1 * 5c1 = 8 * 5 = 40 ways
ANSWER:D
Question: What approximate value should come in place of question mark (?) in the following equation?
33 1⁄3% of 768.9 + 25% of 161.2 – 65.12 = ?
A.230
B.225
C.235
D.233
Answer: D.233
Explanation: ? = 33 1⁄3% of 768.9 + 25% of 161.2 – 65.12
= 1⁄3 of 768.9 + 1⁄4 of 161.2 – 65.12
= 256.3 + 40.3 – 65.12 ≈ 233
Answer D
Question: The distance light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is:
A.587 × 10^8 miles
B.587 × 10^10 miles
C.587 × 10^-10 miles
D.587× 10^12 ml
Answer: D.587× 10^12 ml
Explanation: Solution:
The distance of the light travels in 100 years is:
5,870,000,000,000 × 100 miles.
= 587,000,000,000,000 miles.
= 587 × 10^12 miles.
Answer: (D)
Question: 16 machines can do a work in 10days. How many machines are needed to complete the work in 40days?
A.10
B.6
C.4
D.7
Answer: C.4
Explanation: Required number of machines = 16*10/40 = 4
Answer is 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.110
B.Rs.145
C.Rs.150
D.Rs.176
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: John must arrange 3 different physics books and 3 different mathematics books on one shelf. If the first book on the leftmost side is a mathematics book and no physics book is next to another physics book. How many different arrangements exist?
A.6
B.9
C.36
D.120
Answer: C.36
Explanation: First place the maths book -
since all are different books, they can be arranged in 3! ways - 6 ways...
next we have 4 places for physics book, but leftmost is not a valid place as left is always maths..
_M_M_M_, but valid ways are M_M_M_
so 3 places for 3 books - again 3! ways...
Total = 3!∗3!=36
ANSWER:C
Question: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (14,0), respectively. Points X, Y, and Z have xy-coordinates (6,0), (8,4), and (10,0), respectively. What fraction W of the area of triangle ABC is the area of triangle XYZ?
A. 1/9
B. 1/8
C. 1/6
D. 1/5
Answer: A. 1/9
Explanation: If you notice, both triangles ABC and XYZ have a side on X axis. we can take these sides as bases for each triangle, therefore
Area of ABC is 1/2*12*12 (Height of ABC is the y coordinate of the third point (8,12))
similarly Area of XYZ is 1/2*4*4
dividing area of XYZ with that of ABC gives W=1/9.A
Question: On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price E per glass on the second day?
A. $015
B. $0.20
C. $0.30
D. $0.40
Answer: D. $0.40
Explanation: On the first day 1 unit of orange juice and 1 unit of water was used to make 2 units of orangeade;
On the second day 1 unit of orange juice and 2 units of water was used to make 3 units of orangeade;
So, the ratio of the amount of orangeade made on the first day to the amount of orangeade made on the second day is 2 to 3. Naturally the ratio of the # of glasses of orangeade made on the first day to the # of glasses of orangeade made on the second day is 2 to 3.
We are told thatthe revenue from selling the orangeade was the same for both daysso the revenue from 2 glasses on the first day equals to the revenue from 3 glasses on the second day.
Say the price of the glass of the orangeade on the second day was $x then 2*0.6=3*x --> x=$0.4.
Answer: D.
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
A.29
B.19
C.17
D.80
Answer: D.80
Explanation: 1/2 * d (10 + 6) = 640
d = 80
Answer:D
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face?
A.1/211
B.2/213
C.1/216
D.2/113
Answer: C.1/216
Explanation: The total number of elementary events associated to the random experiments of throwing four dice simultaneously is:
=6×6×6×6=64=6×6×6×6=64
n(S)=64n(S)=64
Let XX be the event that all dice show the same face.
X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}
n(X)=6n(X)=6
Hence required probability,
=n(X)n(S)=664=n(X)n(S)=664
=1/216
C
Question: Which of the following values of A satisfies the inequality?
A(A – 2) = 5A – 10
A.2 < A = 5
B.2 < A = 8
C.2 < A = 6
D.2 < A = 1
Answer: A.2 < A = 5
Explanation: Explanation:
A ( A – 2) = 5 A – 10
A( A – 2) = 5 ( A – 2)
A = 5 if A – 2 > 0
A = 5, A > 2
i.e. 2 < A = 5
ANSWER: A
Question: Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.60 at the candy store. What is John’s weekly allowance?
A.$2.25
B.$3.00
C.$3.25
D.$3.65
Answer: A.$2.25
Explanation: x = 3x/5 + 1/3*2x/5 + 60
4x/15 = 60
x = 225 = $2.25
The answer is A.
Question: Out of the three numbers A, B and C, A exceeds B by 20 and C exceeds A by 55. If the sum of all the numbers is 230, What is the difference between the largest and the smallest number?
A.52
B.58
C.63
D.75
Answer: D.75
Explanation: Explanation:
We have , A = B + 20 & C = A + 55 = B + 75
Thus, (B + 20) + (B) + (B + 75) = 230
B = 45
Thus, A = 65 & C = 120. Hence, (C) – (B) = 120 – 45 = 75
Short-Cut Method : Since C is larger than A by 55 and A is larger than B by 20, we get, the Required difference = 55 + 20 = 75 (without calculating the actual values of A, B and C).
ANSWER D
Question: The altitude of an equilateral triangle of side 2âˆš3 cm is?
A.3/2 cm
B.1/2 cm
C.3/4 cm
D.3 cm
Answer: D.3 cm
Explanation: Explanation:
âˆš3/2*2âˆš3=3cm
ANSWER IS D
Question: If (x-15)(x-3) < 0, which of the following must be true?
A.x^2 + 5x + 6 < 0
B.x^2 + 5x + 6 > 0
C.15 - x >0
D.x - 5 < 0
Answer: C.15 - x >0
Explanation: (x-15)(x-3)<0 can be written as (15-x)(x-3)>0
So,to inequality hold true multiple of (15-x) and (x-3) must be positive and if I let both elements positive/negative then the range becomes 3<x<15
Answer Choice C matched which says 15-x>0 or x<15,which must be true (I started to look from E to A for making easy decision first)
Correct Answer C
Question: The ratio of number of boys and girls in a school is 2:5. If there are 350 students in the school, find the number of girls in the school?
A.150
B.250
C.300
D.370
Answer: B.250
Explanation: Let the number of boys and girls be 2x and 5x
Total students = 350
Number of girls in the school = 5*350/7 = 250
Answer is B
Question: Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is?
A.36
B.77
C.89
D.16
Answer: A.36
Explanation: (3x-9):(5x-9) = 9:17
x = 12 => 3x = 36
Answer: A