RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: For any integer n greater than 1, #n denotes the product of all the integers from 1 to n, inclusive. How many prime numbers are there between #6 +2 and #6 +6 , inclusive?
A.None
B.One
C.Two
D.Three
Answer: A.None
Explanation: Given that n* denotes the product of all the integers from 1 to n, inclusive so, 6*+2=6!+2 and 6*+6=6!+6.
Now, notice that we can factor out 2 our of 6!+2 so it cannot be a prime number, we can factor out 3 our of 6!+3 so it cannot be a prime number, we can factor out 4 our of 6!+4 so it cannot be a prime number, ... The same way for all numbers between 6*+2=6!+2 and 6*+6=6!+6, inclusive. Which means that there are no primes in this range.
Answer: A.
Question: A circular rim 35 inches in diameter rotates the same number of inches per second as a circular rim 42 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?
A.48pi/x
B.50x
C.48x
D.24x
Answer: B.50x
Explanation: C = (pi)d
C(small): (pi)*35
C(large): (pi)*42
Lets say the time horizon is 60 seconds, so during that time the smaller rim covers a distance of (pi)*35*60 = (pi)*(2100) inches
(pi)*(2100) = (pi)*(42)(x)
pi*(50) = pi*(x)
50=x
Answer: B.
Question: If the integer p is rounded to the nearest hundred, the result represents a 66 2/3 % increase over the value obtained when p is rounded to the nearest ten. which of the following is a possible value of p?
A.64
B.67
C.99
D.133
Answer: A.64
Explanation: We have to check options 1 by 1.
64 rounded to nearest hundred = 100
64 rounded to nearest ten = 60
now difference = 40
the result represents a 66 2/3 % increase over the value obtained when x is rounded to the nearest ten.
therefore 40/60)*100 = 66 2/3 ==>this is the answer.
99 rounded to nearest ten = 100
133 rounded to nearest ten = 130
133 rounded to nearest hundred p= 100=A
Question: A parking garage rents parking spaces for $10 per week or $25 per month. How much does a person save in a year by renting by the month rather than by the week?
A. $120
B. $160
C. $220
D. $240
Answer: A. $120
Explanation: 10$ per week!
An year has 52 weeks.
Annual charges per year = 52* 10 = 520$
30$ per month!
An year has 12 months.
Annual charges per year = 12 * 25 = 300$
520 - 300 = 120
Ans A
Question: A two years older than B who is twice as old as C. if the total of the ages of A , B and C be 27, the how old B ?
A.7
B.8
C.9
D.10
Answer: D.10
Explanation: C's age be X years. the B's age = 2X years, A's age= (2X+2)years
therefore (2X+2)+2X+X=27
5X=25
X=5
B's age 2X=10 years. correct answer (D)
Question: The symphony sells two kinds of tickets: orchestra, for $30, and upper tiers, for $12. On a certain night, the symphony sells 90 tickets and gets $1836 in revenue from the sales. How many orchestra tickets did they sell?
A.38
B.42
C.46
D.50
Answer: B.42
Explanation: Let x be the number of orchestra tickets.
Then 90-x is the number of upper tier tickets.
30x + 12(90-x) = 1836
18x = 1836-1080
x = 42
The answer is B.
Question: Pipe A can fill a tank in 8 hours, pipe B in 16 hours and pipe C in 16 hours. If all the pipes are open, in how many hours will the tank be filled?
A.2
B.3
C.4
D.5
Answer: C.4
Explanation: Part filled by A + B + C in 1 hour = 1/8 + 1/16+ 1/16= 1/4
All the three pipes together will fill the tank in 4 hours.
Answer: C
Question: If x^2 + 9/x^2 = 42, what is the value of x - 3/x
A.6
B.25
C.9
D.5
Answer: A.6
Explanation: To find : x-3/x. Let it be t.
=> x-3/x = t
=> (x^2 + 9/x^2) - 2*x*3/x = t^2 (Squaring both sides).
=> (42) - 2*3 = 36
=> t^2 = 36. Thus t=6 or t=-6.
Answer A
Question: Express 25 mps in kmph?
A.299
B.29
C.90
D.77
Answer: C.90
Explanation: 25 * 18/5 = 90 kmph Answer:C
Question: X, Y, and Z are different prime numbers. The product X^3*Y^2*Z^2 is divisible by how many different positive numbers?
A.24
B.36
C.48
D.60
Answer: B.36
Explanation: The exponents of X^3*Y^2*Z^2 are 3, 2, and 2.
The number of factors is (3+1)(2+1)(2+1) = 36
The answer is B.
Question: If x is an integer, then x(x - 1)(x - b) must be evenly divisible by three when b is any of the following values EXCEPT
A.-4
B.-2
C.-1
D.2
Answer: B.-2
Explanation: here's another approach
x(x - 1)(x - b)
all three are consecutive, so the product MUST be a multiple of 3
we don't know the value of b just yet ... so let's extend the series ... the extension itself reveals the answers
..(x-5)..(x-2)(x-1)x(x+1)..(x+4)..
we can see the possible values of b too from the series
b = 2 OR 2+3n [25]
b = -1 OR -1+3n [-1-4]
B i.e. -2 does not fit in any value of b
so B it is
Question: What is the speed of the train in km/hr whose length is 360 metres which passes a pole in 18 seconds?
A.59/9 km/hr
B.50/9 km/hr
C.25/6 km/hr
D.55/18 km/hr
Answer: B.50/9 km/hr
Explanation: Speed=(18x5/18)=5 m/sec.
Length of the train= 360 metre
Time=18s
Speed=length / time
Speed=(360/8)=20 m/sec = 20*5/18 km/hr = 50/9 km/hr
Answer: B
Question: A man is walking at the rate of 8 km/hr crosses a bridge in 15 minutes. The length of the bridge is
A.1000 meters
B.1050 meters
C.1200 meters
D.2000 meters
Answer: D.2000 meters
Explanation: Explanation:
We need to get the answer in meters. So we will first of change distance from km/hour to meter/sec by multiplying it with 5/18 and also change 15 minutes to seconds by multiplying it with 60.
Speed=8âˆ—5/18=20/9m/sec
Time=15âˆ—60seconds=900seconds
Distance=Timeâˆ—Speed/Distance=20/9âˆ—900=2000meter
Option D
Question: Rahul's mother is the only daughter of Monika's father. How is Monika's husband related to Rahul ?
A.Uncle
B.Father
C.Grandfather
D.Brother
Answer: B.Father
Explanation: Explanation:
Clearly, the only daughter or Monika's father is Monika herself
So, Rahul's mother is Monika
Thus, Monika's husband is the father of Rahul.
Answer: B) Father
Question: Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
A.5 : 7 : 8
B.20 : 49 : 64
C.38 : 28 : 21
D.None of these
Answer: B.20 : 49 : 64
Explanation: Solution: Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively.
Then, 14x : 8y : 7z = 5 : 7 : 8.
Now, 14x/8y = 5/7 => 98x = 40y
=> y = 49/20 x
And, 14x/7z = 5/8
=> 112x = 35z
=> z = 112/35 x = 16/5 .x.
So x : y : z = x : 49/20 x : 16/5 x = 20 : 49 : 64.
Answer: Option B
Question: In 1982 and 1983, Company B’s operating expenses were $12.0 million and $14.0 million, respectively, and its revenues were $15.6 million and $18.8 million, respectively. What was the percent increase in Company B’s profit (revenues minus operating expenses) from 1982 to 1983 ?
A.3%
B.16 2/3%
C.25%
D.33 1/3%
Answer: D.33 1/3%
Explanation: Profit in 1982=15.6-12.0=3.6
profit in 1983=18.8-14.0=4.8
increase in profit=4.8-3.6=1.2
percentage increase
12*100/36 =33.33 ; ANSWER:D
Question: Two trains of equal lengths are running at speeds of 30 kmph and 60 kmph. The two trains crossed each other in 30 seconds when travelling in opposite direction. In what time will they cross each other when travelling in the same direction?
A.90 sec
B.18 sec
C.19 sec
D.15 sec
Answer: A.90 sec
Explanation: Let the length of each train be x m.
(x + x) / (60 + 30)5/18 = (750 * 18) / (30 * 5)
= 90 sec.
Answer:A
Question: An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o’clock in the afternoon?
A.144°
B.150°
C.168°
D.180°
Answer: B.150°
Explanation: Angle traced by the hour hand in 6 hours
= (360⁄12 × 6)° = 180°
Answer B
Question: 5355 x 51 = ?
A.273105
B.273243
C.273247
D.273250
Answer: A.273105
Explanation: 5355 x 51	= 5355 x (50 + 1)
= 5355 x 50 + 5355 x 1
= 267750 + 5355
= 273105
A
Question: (786×74) ÷ ? = 3635.25
A.A)4.8
B.B)48
C.C)16
D.D)68
Answer: C.C)16
Explanation: Explanation:
58164/x = 3635.25 => x = 58164/3635.25 = 16
Answer: Option C
Question: Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is?
A.Rs.150
B.Rs.100
C.Rs.125
D.Rs.175
Answer: C.Rs.125
Explanation: 3x * 2x = 3750 => x = 25
2(75 + 50) = 250 m
250 * 1/2 = Rs.125
ANSWER:C
Question: A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?
A.80 sec
B.89 sec
C.99 sec
D.86 sec
Answer: B.89 sec
Explanation: Explanation:
Speed = (240/24) m/sec = 10 m/sec.
Required time =[ (240 + 650)/10) ] sec = 89 sec.
Answer:B
Question: There are k members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 55 possible combinations in which Michael is not selected, what is the value of k?
A.11
B.12
C.15
D.18
Answer: B.12
Explanation: Combinations of two persons, in which Michael was not selected = 55
number of ways two persons can be selected from m people = m*(m-1)/2
Let m be the number of people excluding Michael, then m*(m-1) = 110 => m=11
Thus, k = m + 1(Michael) = 12
option B
Question: A circular rim 20 inches in diameter rotates the same number of inches per second as a circular rim 30 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?
A.40x
B.75x
C.48x
D.24x
Answer: A.40x
Explanation: Revolutions - circumference of the rim.
=> 20pi*X*60 = 30pi*Revolutions
=> 2/3 *X *60 = Revolutions => 40X - Option A
Question: If a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land Tails up exactly once in 3 consecutive flips ?
A.0.125
B.0.375
C.0.325
D.0.5
Answer: B.0.375
Explanation: Total number of ways in which H or T can appear in 3 tosses of coin is
= 2 * 2 * 2 = 8 ways
For 2 T and 1 TH
Thus probability is
= P(HTT) + P(TTH) + P(THT)
= 1/8 + 1/8 + 1/8
= 3/8
= .375
Answer :B
Question: Which is smallest prime number?
A.37
B.47
C.24
D.67
Answer: A.37
Explanation: Answer:A
Question: What is the smallest integer n for which 25^n > 5^12 ?
A. 6
B. 7
C. 8
D. 9
Answer: B. 7
Explanation: To solve, we want to get the bases the same. Thus we need to break 25^n into prime factors.
25^n = (5^2)^n = 5^(2n) (Remember that when we have a power to a power, we multiply the exponents.)
We can use the new value in the given inequality:
5^(2n)> 5^12
Since we have the same bases on either side of the inequality we can drop the bases and set up an equation involving just the exponents.
2n > 12
n > 6
Because n is greater than 6, the smallest integer that satisfies the inequality 25^n > 5^12 is 7.
The answer is B.
Question: Two integers are in the ratio of 1 to 4. If 12 is added to the smaller number, the ratio becomes 1 to 2. Find the larger integer.
A.8
B.16
C.32
D.48
Answer: D.48
Explanation: One option is to set up the equations and solve:
If the ratio of two integers x and y is 1 to 4, then 4x=y, where x is the smaller integer.
If adding 12 to the smaller integer makes the ratio 1 to 2, then 2(x+12)=y.
Substituting y=4x into the second equation yields 2x+24=4x.
So, x=12 (smaller integer) and, y=4x=48 (larger integer) so D is the correct answer.
Another option is to TEST the answer choices.
A) the larger number is 8
Given: the two integers are in the ratio of 1 to 4
So, the smaller number must be 2
If 12 is added to the smaller number, the ratio becomes 1 to 2
If we add 12 to the smaller number (2), we get 14.
So, the new ratio is 14 to 8 which is the same as 7 to 4.
No good. We want a resulting ratio of 1 to 2
ELIMINATE A
B) the larger number is 16
Given: the two integers are in the ratio of 1 to 4
So, the smaller number must be 4
If 12 is added to the smaller number, the ratio becomes 1 to 2
If we add 12 to the smaller number (4), we get 16
So, the new ratio is 16 to 16 which is 1 to 1.
No good. We want a resulting ratio of 1 to 2
ELIMINATE B
C) the larger number is 32
Given: the two integers are in the ratio of 1 to 4
So, the smaller number must be 8
If 12 is added to the smaller number, the ratio becomes 1 to 2
If we add 12 to the smaller number (8), we get 20
So, the new ratio is 20 to 32 which is 5 to 8.
No good. We want a resulting ratio of 1 to 2
ELIMINATE C
D) the larger number is 48
Given: the two integers are in the ratio of 1 to 4
So, the smaller number must be 12
If 12 is added to the smaller number, the ratio becomes 1 to 2
If we add 12 to the smaller number (12), we get 24
So, the new ratio is 24 to 48. This is the same as the ratio of 1 to 2
Therefore (D) is correct
E) the larger number is 54
Given: the two integers are in the ratio of 1 to 4
So, the smaller number must be 13.5 (which is not an integer)
Since both numbers are integers, the larger number cannot be 54.
ELIMINATE E
Therefore D is the only correct choice.
Question: On a sum of money, the simple interest for 2 years is Rs. 324, while the compound interest is Rs. 340, the rate of interest being the same in both the cases. The rate of interest is
A.15%
B.14.25%
C.9.87%
D.10.5%
Answer: C.9.87%
Explanation: The difference between compound interest and simple interest on Rs. P for 2 years at R% per annum
= (R Ã— SI)/(2 Ã— 100)
Difference between the compound interest and simple interest = 340 - 324 = 16
(R Ã— SI)/(2 Ã— 100) = 16
(R Ã— 324)/(2 Ã— 100) = 16
R = 9.87%
Answer: Option C
Question: The reflex angle between the hands of a clock at 10.25 is:
A.180º
B.192	1/2 º
C.195º
D.197	1/2 º
Answer: D.197	1/2 º
Explanation: Angle traced by hour hand in 125/12 hrs ={(360/12)x(125/2)}º	= 312 1/2 º	. Angle traced by minute hand in 25 min =(360/60)x 25	º= 150º. Reflex angle = 360º -(312	1/2- 150º	)= 360º - 162 1/2º= 197 1/2º	.Answer: D
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
A.60
B.68
C.67
D.69
Answer: B.68
Explanation: Length of the two trains = 600m + 400m
Speed of the first train = X
Speed of the second train= 48 Kmph
1000/X - 48 = 180
1000/x - 48 * 5/18 = 180
50 = 9X - 120
X = 68 Kmph
Answer: Option B
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?
A.1000
B.2217
C.2889
D.2777
Answer: A.1000
Explanation: 1120 = P [1 + (5*12/5)/100]
P= 1000
Answer: A
Question: Today my car meter reads as 72927 kms. I notes that this is a palindrome. How many minimum kms i need to travel so my car meter find another palindrom.
A.100 kms
B.115 kms
C.110 kms
D.210 kms
Answer: C.110 kms
Explanation: C
110 kms
72927+110 = 73037 , a palindrome
Question: The difference between the place value and the face value of 9 in the numeral 856973 is
A.973
B.891
C.5994
D.6084
Answer: B.891
Explanation: (Place value of 9) - (Face value of 9) = (900 - 9) = 891
Answer: Option B
Question: The number of people who purchased book A is twice the number of people who purchased book B. The number of people who purchased both books A and B is 500, which is twice the number of people who purchased only book B. What is the number of people X who purchased only book A?
A.250
B.500
C.750
D.1000
Answer: D.1000
Explanation: This is best solved using overlapping sets or a Venn Diagram. We know that A = 2B, and that 500 people purchased both A and B. Further, those purchasing both was double those purchasing B only. This gives us 250 people purchasing B only. With the 500 that pruchased both, we have a total of 750 that purchased B and this is 1/2 of those that purchased A. So, 1500 purchased A. Less the 500 that purchased both, X=1000 purchased A only. (This is much simpler to solve using the Venn diagram).
Correct answer is D. 1000
Question: Look at this series: __, VIII, XI, XIV, XVII, XX, ... What number should fill the blank?
A.IX
B.XXIII
C.XV
D.V
Answer: D.V
Explanation: Explanation: This is a simple addition series; each number is 3 more than the previous number.
Answer: D
Question: A certain sum of money at simple interest amounted Rs.1200 in 12 years at 6% per annum, find the sum?
A.337
B.268
C.198
D.697
Answer: D.697
Explanation: 1200 = P [1 + (12*6)/100]
P = 697'
Answer:D
Question: The regular price per can of a certain brand of soda is $0.60. If the regular price per can is discounted 20 percent when the soda is purchased in 24-can cases, what is the price of 72 cans of this brand of soda purchased in 24-can cases?
A.$16.32
B.$18.00
C.$21.60
D.$34.56
Answer: D.$34.56
Explanation: The discounted price of one can of soda is (0.8)($0.60), or $0.48
Therefore, the price of 72 cans of soda at the discounted price would be (72)($0.48) = 34.56
Answer: D.
Question: Tough and Tricky questions: Decimals.
The value of x is derived by summing a, b, and c and then rounding the result to the tenths place. The value of y is derived by first rounding a, b, and c to the tenths place and then summing the resulting values. If a = 5.45, b = 2.95, and c = 3.74, what is y – x?
A.-0.1
B.0
C.0.05
D.0.2
Answer: D.0.2
Explanation: To find x, we first sum a, b, and c, then round to the tenths place. 5.45 + 2.95 + 3.74 = 12.14, which rounds to 12.2.
To find y, we first round a, b, and c to the tenths place and them sum them. so 5.4 + 2.9 + 3.7 = 12.0.
We are looking for y - x, which gives us 12.2 - 12.0 = 0.2, or answer choice D.
Question: A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.
A.Rs.4500
B.Rs.5200
C.Rs.1800
D.Rs.3000
Answer: D.Rs.3000
Explanation: A:B:C = 5:6:4
Let the total profit = 100 - 30 = 70
5/15 * 70 = 70/3
A share = 70/3 + 30 = 160/3
B + C share = 100 - 160/3 = 140/3
A-(B+C) = 160/3 - 140/3 = 20/3
20/3 ---- 200
100 ---- ? => 3000
ANSWER:D
Question: Two trains 111 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 100 km and the other at the rate of 120 kmph. In what time will they be completely clear of each other from the moment they meet?
A.4.85
B.7.85
C.4.51
D.5.85
Answer: C.4.51
Explanation: T = (111 + 165)/ (100 + 120) * 18/5
T = 4.51
ANSWER:C
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
A.111.12 m
B.161.12 m
C.111.82 m
D.111.19 m
Answer: A.111.12 m
Explanation: A runs 1000 m while B runs 900 m and C runs 800 m.
The number of meters that C runs when B runs 1000 m,
= (1000 * 800)/900
= 8000/9
= 888.88 m.
B can give C
= 1000 - 888.88
= 111.12 m.
Answer:A
Question: complete the following series
2, 4, 6, 10, ..... , 26
A.16
B.20
C.12
D.14
Answer: A.16
Explanation: In the series we can get the next term by adding the previous 2 terms.
so to get the answer we have to add 6 + 10 = 16
so the answer is option A) 16.
Question: 106 x 106 - 94 x 94 = ?
A.2400
B.2000
C.1904
D.1906
Answer: A.2400
Explanation: =(106)^2-(94)^2
=(106+94)(106-94)
=(200 x 12)
=2400
Answer is A
Question: What is the value of n if the sum of the consecutive odd integers from 1 to n equals 169?
A.47
B.25
C.37
D.33
Answer: B.25
Explanation: # of terms = (n-1/2)+1 {(last term - first term)/2+1|
Sum = (1+n)/2 * # of terms
= (n+1)^2/4= 169
n+1 = 13*2
n+1 = 26
n=25.
ANSWER:B
Question: If x is an integer and y = 3x + 4, which of the following CANNOT be a divisor of y?
A.4
B.6
C.5
D.7
Answer: B.6
Explanation: For any value of x, the expression 3x + 4 would never be divisible by 3,6,9...... onwards
So answer = 6 = B
Question: Find the least number of complete years in which a sum of money put out at 45% compound interest will be more than double of itself?
A.2
B.3
C.4
D.5
Answer: A.2
Explanation: 2 years
Answer: A
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
A.276 m
B.287 m
C.245 m
D.276 m
Answer: C.245 m
Explanation: Speed = 45 * 5/18 = 25/2 m/sec.
Time = 30 sec
Let the length of bridge be x meters.
Then, (130 + x)/30 = 25/2
x = 245 m.
Answer:C
Question: If n is a positive integer and the greatest common divisor of n and 16 is 4, and the greatest common divisor of n and 15 is 3, which of the following is the greatest common divisor of n and 72?
A.24
B.36
C.12
D.18
Answer: C.12
Explanation: The greatest common divisor of n and 16 is 4 --> n is a multiple of 4 but not a multiple of 8.
The greatest common divisor of n and 15 is 3 --> n is a multiple of 3 but not a multiple of 5.
72=2*3*3*2*2 is divisible by 12. therefore the greatest common divisor is 12
C
Question: If TIER is written as 7183 and BRAIN is written as 23415, how is RENT coded ?
A.3653
B.3657
C.3857
D.2790
Answer: C.3857
Explanation: Explanation:
Given :
Letter : T I E R B A N
Code : 7 1 8 3 2 4 5
Thus, the code for RENT is 3857.
ANSWER:C
Question: Each person who attended a company meeting was either a stockholder in the company, an employee of the company or both. If 62 percent of these who attended the meeting were stockholders and 52 percent were employees. What percent were stockholders, who were not employees?
A.52
B.48
C.54
D.55
Answer: B.48
Explanation: I came up with the same answer choice B, but my approach was slightly different!
52% were employees which shall cover those who were only employees and those who were both shareholders and employees.
Thus, the number of attendants who were only shareholders is 100% - 52% = 48%.
Question: P, Q and R can complete a work in 24, 6 and 12 days respectively. The work will be completed in --- days if all of them are working together.
A.2
B.3 3⁄7
C.4 ¼
D.5
Answer: B.3 3⁄7
Explanation: Explanation :
Work done by P in 1 day = 1/24
Work done by Q in 1 day = 1/6
Work done by R in 1 day = 1/12
Work done by P,Q and R in 1 day = 1/24 + 1/6 + 1/12 = 7/24
=> Working together, they will complete the work in 24/7 days = 3 3⁄7 days
Answer : Option B
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
A.900
B.190
C.277
D.262
Answer: B.190
Explanation: Time taken by B run 1000 meters = (1000 * 10)/50 = 200 sec.
Time taken by A = 200 - 10
= 190 sec.
Answer: B
Question: A train 290 m long passed a pole in 29 sec. How long will it take to pass a platform 650 m long?
A.94 sec
B.89 sec
C.54 sec
D.27 sec
Answer: A.94 sec
Explanation: Speed = 290/29 = 10 m/sec.
Required time = (290 + 650)/10
= 94 sec.
Answer: A
Question: Ms. Adams sold two properties, X and Y, for $30,000 each. She sold property X for 20 % more than she paid for it and sold property Y for 20% less than she paid for it. If expenses are disregarded , what was her total net gain or loss, if any, on the two properties ?
A.Loss of $1,250
B.Loss of $2,500
C.Gain of $1,250
D.Gain of $2,500
Answer: B.Loss of $2,500
Explanation: Total %Loss = (Common Gain% or Loss%/10)^2
Hence Here Loss% = (20/10)^2 = 4%
which means he recovered only 96% of his investment which amount to a total revenue = 30000 + 30000 = 60000
i.e. 96% of cost = 60000
therefore, 4% of cost (Loss) = $2500
Answer: Option B
Question: A specialized type of sand consists of 40% mineral X by volume and 60% mineral Y by volume. If mineral X weighs 1.5 grams per cubic centimeter and mineral Y weighs 3 grams per cubic centimeter, how many grams does a cubic meter of specialized sand combination weigh? (1 meter = 100 centimeters)
A.2,400,000
B.2,800,000
C.55,000
D.28,000
Answer: A.2,400,000
Explanation: Let the volume be 1 m^3 = 1m * 1m * 1m = 100cm * 100cm * 100cm = 1,000,000 cm^3
By volume
40% is X = 400,000 cm^3
60% is Y = 600,000 cm^3
By weight,
In 1 cm^3, X is 1.5 gms
In 400,000 cm^3 , X = 1.5 * 400,000 = 600,000 grams
In 1 cm^3, Y is 3 gms
In 600,000 cm^3, Y = 3 * 600,000 = 1,800,000 gms
Total gms in 1 m^3 = 600,000 + 1,800,000 = 2,400,000
ANSWER:A
Question: I chose a number and divide it by 5. Then I subtracted 154 from the result and got 6. What was the number I chose?
A.200
B.600
C.300
D.800
Answer: D.800
Explanation: Let x be the number I chose, then
x/5−154=6
x/5=160
x=800
correct answer D
Question: The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?
A.6:7
B.6:9
C.6:5
D.6:1
Answer: C.6:5
Explanation: 4:5
3:2
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12:15:10
12:10
6:5
Answer:C