RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 5 inches from his current location, Gardensquare. Pete arrives in Madison 1.5 hours later and drove at an average speed of 60 miles per hour. At what scale, in inches per mile, is the map drawn?
A.1/3
B.1/18
C.1/10
D.2
Answer: B.1/18
Explanation: Pete covered 1.5*60=90 miles which correspond to 5 inches on the map --> scale in inches per mile is 5/90=1/18.
Answer: B.
Question: Vijay invested Rs.50,000 partly at 10% and partly at 15%. His total income after a year was Rs.7000. How much did he invest at the rate of 10%?
A.Rs.40,000
B.Rs.40,000
C.Rs.12,000
D.Rs.20,000
Answer: B.Rs.40,000
Explanation: Solution:
The best way to solve this problem is by using the concept in Mixtures and Alligation.
Vijay earned a total income of Rs.7000 for his investment of 50,000.
Therefore, his average rate of return = 7000/50000 * 100
By rule of alligation, if the value of one of the products is 10 (cheaper) and the other is 15 (dearer) and if the two are mixed such that the average value of the mixture is 14 (mean price), then the two products have been mixed in the following ratio.
The ratio of
Cheaper product : Dearer product
(Dearer product price - mean price) : (Mean price - cheaper product price)
In our example, the cheaper product is the investment at 10%, the dearer product is the investment at 15% and the mean price is the average return of 14%.
Therefore, the amount invested @10% interest = 1/5 * 50,000 = 10,000.
Answer B
Question: From a pack of 52 cards, 1 card is drawn at random. What is the probability that a red king is drawn?
A.1/2
B.1/4
C.1/13
D.1/26
Answer: D.1/26
Explanation: The total number of cards is 52.
The number of red kings is 2.
P(red king) = 2/52 = 1/26
The answer is D.
Question: A person borrowed Rs.600 @ 3% per annum S.I and Rs.800 @ 4½ % per annum on the agreement that the whole sum will be returned only when the total interest becomes Rs.246. The number of years, after which the borrowed sum is to be returned, is
A.2 years
B.3years
C.4 years
D.5 years
Answer: C.4 years
Explanation: Let the time be x years. Then (600 *3* x)/100 + (800*9*x)/(2*100) = 24
18x+ 36x = 246 ; x = 246/54 = 4 years
Required time = 4 years
ANSWER:C
Question: In a class exactly 10% students get 70 marks, exactly 25% get 80 marks, exactly 15% get 85 marks, exactly 25% get 90 marks and remaining get 95 marks.what is the minimum number of students in the class if the avg. of sum of marks is an even no.
A.20
B.80
C.100
D.120
Answer: A.20
Explanation: Let total no. of students be x
(x(10*70 + 25*80 + 15*85 + 25* 90 + 25*90)/100)/ x = 86
Hence the avg is always 86 and does not depend upon the no. of students.
Hence the answer is the minimum value that is 20
ANSWER:A
Question: What is the largest 4 digit number exactly divisible by 88
A.9900
B.9999
C.9988
D.9944
Answer: D.9944
Explanation: Explanation:
Largest 4 digit number is 9999
After doing 9999 ÷ 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944
Answer: Option D
Question: If m is a positive integer, and m/15 = 8.2, what is the remainder T when m is divided by 15?
A.A.1
B.B.2
C.C.3
D.D.4
Answer: C.C.3
Explanation: If m were a multiple of 15, the quotient m/15 would be an integer. The fact that it's a decimal tells us that 15 goes into m eight whole times and some decimal part of a time. This decimal part, 0.2 is the remainder divided by the divisor. Let T be the remainder.
T/15 = 0.2 = 1/5
T = (15)*(1/5) = 3
Answer =(C)
Question: The greatest common divisor of two positive integers is 25. If the sum of the integers is 350, then how many such pairs are possible?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: 350 = 25 * 14
To have the GCD of two numbers to be 25, we need to split 14 into two co-prime numbers. Such pairs of numbers are: (1,13), (3,11), and (5,9).
Answer:C
Question: If an amount of Rs 41,910 is distributed equally
amongst 22 persons, how much amount would each
person get?
A.Rs 1905
B.Rs 2000
C.Rs 745
D.Rs 765
Answer: A.Rs 1905
Explanation: Required amount =41910/22 = Rs 1905
Answer A
Question: Rajan buys an old scooter for Rs. 7400 and spends Rs. 600 on its repairs. If he sells the scooter for Rs. 8800, his gain percent is :
A.20%
B.12%
C.10%
D.5%
Answer: A.20%
Explanation: Explanation :
Solution: C.P. =Rs. (7400+600) =Rs. 8000; S.P. = Rs. 9600.
Gain% = (1600*100/8000) = 20%.
Answer : A
Question: Find the slope of the line perpendicular to the line y = (1/6)x - 7
A.1
B.2
C.-6
D.4
Answer: C.-6
Explanation: Two lines are perpendicular if the product of their slopes is equal to -1. The slope of the given line is equal to 1 / 6. If m is the slope of the line perpendicular to the given line, then
m × (1/6) = -1
Solve for m
m = - 6
correct answer C) -6
Question: If two dies are thrown simultaneously what is the prob. of one of the dice getting face 6 ?
A.11/36
B.1/3
C.12/35
D.1/36
Answer: A.11/36
Explanation: Sample space for two dice = 36
Probability of getting one of the dice 6 is,
n={(1,6)(2,6)(3,6)(4,6)(5,6)(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)}=11
n=11
Probability = Total possibilities(n)/Sample space
P = 11/36
ANSWER:A
Question: If the productivity of a brigade grows by 5% when the number of the workers in the brigade is increased by one, then which of the following is closest to the ratio of the productivity of a 12-person brigade to that of a 10-person brigade?
A.0.21
B.0.82
C.1.155
D.1.21
Answer: C.1.155
Explanation: B = 10-men brigade
p = increase in the productivity = 5%
Solution: B x p = B x 1.05 = 1.05B -------> the productivity of 11 men brigade
1.05B x p = 1.05B x 1.1 = 1.155B -----> the productivity of 12 men brigade
The ratio of the productivity of a 12-men brigade to that of a 10-men brigade = 1.155B/B = 1.155
C
Question: Set S contains exactly 10 numbers and has an average (arithmetic mean) of 6.2. If one of the numbers in Set S is increased by 4, while all other numbers remain the same, what is the new average of Set S?
A.6.6
B.6.7
C.6.8
D.6.85
Answer: A.6.6
Explanation: Old set S - Total is avg * no of elements = 6.2*10 = 62
If one number is increased by 4 then total increased to 62+4=66
New avg - 66/10 = 6.6.
Hence answer is A.
Question: There are 12 people in a room. If each person shakes hands with exactly 3 other people, what is the total number of handshakes?
A.12
B.18
C.24
D.36
Answer: B.18
Explanation: Note that each handshake includes two people.
The total number of handshakes is 12*3/2 = 18
The answer is B.
Question: A number whose fifth part increased by 4 is equal to its fourth part diminished by 10, is :
A.240
B.260
C.270
D.280
Answer: D.280
Explanation: Let the number be x. Then,
((1/5)x+4)=((1/4)x−10)
<=>
x/20
<=> x = 14 * 20 = 280.
ANSWER :D
Question: If the compound interest on a certain sum for 2 years at 12% p.a. is Rs.1590, What would be the simple interest for same rate and same period?
A.Rs.1500
B.Rs.1450
C.Rs.1550
D.Rs.1650
Answer: A.Rs.1500
Explanation: Let principal be P.
Then Amount = P + 1590
According to formula, Amount = P*[1 + 0.12]^2
Hence, we get, P+ 1590 = P*[1.12]^2
So, P + 1590 = 1.2544P
So, 0.2544P = 1590
So, P = 6250
Hence, simple interest on â�¹6250 @ 12% for 2 years = 6250*12/100*2 = 1500
ANSWER :A
Question: If in a certain sequence of consecutive multiples of 50, the median is 825, and the greatest term is 1050, how many terms that are smaller than 825 are there in the sequence?
A.6
B.5
C.8
D.12
Answer: B.5
Explanation: Since the median is 825 we know there must be a even number of integers because 50 is not a multiple of 825.
So the list around 625 must go. 750 800 (825) 850 900 950 1000 1050
Since we know there are 5 numbers greater than 825 then there must be 5 numbers less then 825.
answer:B
Question: The current of a stream runs at the rate of 5 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
A.A)7.63
B.B)2.6
C.C)8.83
D.D)6.69
Answer: C.C)8.83
Explanation: S = 5
M = x
DS = x + 5
US = x - 5
6/(x + 5) + 6/(x - 5) = 2
x = 8.83
Answer:C
Question: Which of the following numbers should not be included in the set?
331, 482, 551, 263, 384, 242, 111
A.263
B.384
C.242
D.111
Answer: B.384
Explanation: Solution
In each number except 384,the product of first and third digits is the middle one. Answer B
Question: The length of the room is 5.5m and width is 3.75m. Find the cost of paving the floor by slabs at the rate of Rs.800 per sq meter
A.16500
B.16538
C.27778
D.27788
Answer: A.16500
Explanation: Explanation:
l=5.5m w=3.75m
area of the floor = 5.5 x 3.75 = 20.625 sq m
cost of paving = 800 x 20.625 = Rs. 16500
Answer: A) Rs.16500
Question: In a class composed of x girls and y boys what part of the class is composed of girls
A.y/(x + y)
B.x/xy
C.x/(x + y)
D.y/xy
Answer: C.x/(x + y)
Explanation: total no. of boys and girls=x+y
no. of girls=x
therefore,, x/(x+y)
ANSWER:C
Question: If 4 persons can do 4 times of a particular work in 4 days, then, 7 persons can do 7 times of that work in?
A.2 days
B.3 days
C.5 days
D.4 days
Answer: D.4 days
Explanation: That is, 1 person can do one time of the work in 4 days.
Therefore, 7 persons can do 7 times work in the same 4 days itself.
D)
Question: A man walking at a rate of 10km/hr crosses a bridge in 10 minutes. The length of the bridge is?
A.1521
B.1492
C.1667
D.1254
Answer: C.1667
Explanation: Speed = 10*5/18 = 50/18 m/sec
Distance covered in 10minutes = 50/18 *10 *60 = 1667m
Answer is C
Question: 3^13 is equal to which of the following?
A.1,595,423
B.1,595,401
C.1,595,477
D.1,595,432
Answer: A.1,595,423
Explanation: Given that the answers have different last digits, there are several ways to solve this, but the most straight forward way is to check the algorithm. 3^n has a cycle of 4.
3^1 = 3
3^2 = 9
3^3 = 27
3^4 = 81
3^5 = 243
Observe that the last digit of the resultant of 3^1 and 3^5 is 3. If we continue 3^n, the last digit follows the pattern 3, 9, 7, 1, 3, 9, 7, 1, 3, .... So, all we need look for is the last digit in the pattern.
Cycle of 4, power of 13, last digit is 3.
Answer: A
Question: In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 33, find the number?
A.12119
B.13919
C.13119
D.13016
Answer: C.13119
Explanation: C
13119
Let the three digit numbers be 100a + 10b + c
a = b + 2
c = b - 2
a + b + c = 3b = 33 => b = 11
So a = 13 and b = 9
Hence the three digit number is: 13119
Question: In the xy-plane, the point (-2, 1) is the center of a circle. The point (-2, -3) lies inside the circle and the point (4, 1) lies outside the circle. If the radius r of the circle is an integer, then r =
A.2
B.3
C.4
D.5
Answer: D.5
Explanation: An easy way to solve this question will be just to mark the points on the coordinate plane.
You'll see that the distance between the center (-2, 1) and the point inside the circle (-2, -3) is 4 units
(both points are on x=-2 line so the distance will simply be 1-(-3)=4)
So the radius must be more than 4 units.
The distance between the center (-2,1) and the point outside the circle (4,1) is 6 units
(both points are on y=1 line so the distance will simply be 4-(-2)=6)
So the radius must be less than 6 units, which implies 4 < r < 6, thus as r is an integer then r=5.
Answer: D.
Question: If the simple interest on a sum of a money for 2 years at 5% per annum is $50 what is the compound interest on the sum of the same rate and same time
A.$57.96
B.$78.89
C.$88.45
D.$51.25
Answer: D.$51.25
Explanation: sum= 50*100/10=500
amount=$(500(1+10/100)^2)
=500*21/20*21/20
=$551.25
C.I=$(551.25-50)=$51.25
Answer (D)
Question: Harold works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 3 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?
A.1/3
B.2/5
C.3/7
D.1/2
Answer: A.1/3
Explanation: The time from beginning of March to the end of September is 7 months.
If x is the average monthly tip for all months other than August then his August month tip will be 3*x
His total tip for the 7 months = 6*(average tip for the months other than August) + 3x
=9x
August tips as a fraction of total tips = 3x/9x =1/3. So Answer is A
Question: A man buys an article for 15% less than its value and sells it for 15% more than its value. His gain or loss percent is:
A.no profit, no loss
B.20% profit
C.less than 35% profit
D.more than 35% profit
Answer: D.more than 35% profit
Explanation: Let the article be worth Rs. x.
C.P. 85% of Rs. x = Rs. 85x/100
S.P. = 115% of Rs. x = Rs. 115x/100
Gain = (115x/100 - 85x/100) = Rs. 3x/10
Gain % = 3x/10 * 100/85x * 100 = 35 5/17 % > 35%
ANSWER:D
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
A.Rs.3630
B.Rs.2840
C.Rs.3200
D.Rs.5600
Answer: A.Rs.3630
Explanation: 6300:4200:10500
3:2:5
3/10 * 12100 = 3630
ANSWER:A
Question: 60% of a number is added to 120, the result is the same number. Find the number?
A.300
B.277
C.266
D.99
Answer: A.300
Explanation: :
(60/100) * X + 120 = X
2X = 600
X = 300
Answer: A
Question: A batch of widgets costs p + 1 dollars for a company to produce and each batch sells for p(5 – p) dollars. For which of the following values of p does the company make a profit?
A.3
B.4
C.5
D.6
Answer: A.3
Explanation: to make profit, selling price should be greater than cost price
p(5-p) - p-1 >0
=> p^2-4*p+1<0
hence p=3
A
Question: The value of “A” varies in inverse proportion as the square of “B”. If the value of “A” is equal to 40 when “B” is equal to 12. What would be the value of “A” when “B” is equal to 24 ?
A.10
B.15
C.20
D.22
Answer: A.10
Explanation: Explanation:
We have, A α 1/B2
A * B2 = K (constant)
When B = 12, A = 40 …..Given
K = 40 * (12)2 = 5760
Now, B = 24. Hence, A = 5760 / 576 = 10
ANSWER: A
Question: Find the simple interest on Rs. 78000 at 15(2/5) % per annum for 9 months.
A.Rs. 9009
B.Rs. 9008
C.Rs. 9002
D.Rs. 9202
Answer: A.Rs. 9009
Explanation: Explanation:
P = Rs. 78000, R = 77/5 % p.a and T = 9/12 years = ¾ years
Therefore,
S.I = (P*R*T)/100
= (78000* 77/5 * ¾ * 1/100)
= Rs. 9009
ANSWER: A
Question: The y intercept of a line L is 2. If the slope of L is negative, which of the following could be the x intercept of L.
I. -1
II. 0
III. 6
A.I only
B.II only
C.III only
D.I and II
Answer: C.III only
Explanation: C) III only
The y-intercept is 2. Therefore we have y=mx+2
It is given that the slope is negative. Therefore the line must go from top left to bottom right.
i.e: the x-intercept has to be positive. That itself rules out III.
If you choose to go with the options directly, here's an approach.
y=mx+2. For the x-intercept, y=0.
i.e. mx+2=0.
We know that the slope m is negative. Therefore, if x=-1 or x=0, the equation mx+2 =0 would never be satisfied.
If x=6, we have 6m+2=0. A value of m=-1/3 would satisfy this equation. (ANSWER C)
Question: Find the next term in series - 25, 37, 49, 61, ?
A.71
B.72
C.73
D.74
Answer: C.73
Explanation: Series is Increased by 12.
25 +12 =37
37 +12 =49
49 +12 =61
61 +12 =73
ANSWER:C
Question: In what time a sum of money double itself at 3% per annum simple interest?
A.33 1/9%
B.33 1/3%
C.332 1/3%
D.33 9/3%
Answer: B.33 1/3%
Explanation: P = (P*3*R)/100
R = 33 1/3%
Answer:B
Question: Dravid has x dollars more than Gayle has, and together they have a total of y dollars. Which of the following represents the number of dollars that Gayle has?
A.(y – x)/2x
B.(y – x)/2y
C.(y – x)/2
D.3(y – x)/2
Answer: C.(y – x)/2
Explanation: To solve, we will set up two equations. Let's start by defining two variables.
A = number of dollars Gayle has
B= number of dollars Dravid has
We are given that Dravid has x dollars more than Gayle. We set up an equation:
B= x + A
We are next given that together they have a total of y dollars. We can set up our second equation:
A + B = y
Since we know that B = x + A, we can substitute x + A for B into the second equation A+ B = y.
Notice that, after the substitution, we will only have variables of A, x, and y. Thus, we have:
A + x + A = y
2A + x = y
2A = y – x
A = (y – x)/2
Answer : C
Question: The y intercept of a line L is 1. If the slope of L is negative, which of the following could be the x intercept of L.
I. -1
II. 0
III. 6
A.I only
B.II only
C.III only
D.I and II
Answer: C.III only
Explanation: C) III only
The y-intercept is 1. Therefore we have y=mx+1
It is given that the slope is negative. Therefore the line must go from top left to bottom right.
i.e: the x-intercept has to be positive. That itself rules out III.
If you choose to go with the options directly, here's an approach.
y=mx+1. For the x-intercept, y=0.
i.e. mx+1=0.
We know that the slope m is negative. Therefore, if x=-1 or x=0, the equation mx+1 =0 would never be satisfied.
If x=6, we have 6m+1=0. A value of m=-1/6 would satisfy this equation. (ANSWER C)
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
A.54
B.32
C.75
D.28
Answer: B.32
Explanation: A/8 = 8 * 8 => A = 8 * 8 * 8
x * 2x = 8 * 8 * 8
x = 16 => 2x = 32
Answer:B
Question: If t is an odd integer, which of the following must also be odd?
A.2t + 8
B.t + t
C.3t + 3
D.2t + t
Answer: D.2t + t
Explanation: Things to keep in mind:
Odd + odd = even
Odd + even = odd
Odd*odd = odd
Odd*even = even
On checking each option
A. 2t + 8
2t = even, 2t + 8 = even + even = even.
B. t + t
Odd + odd = even. This will be even
C. 3t + 3
3t = odd, 3t + 3 = odd + odd = even
D. 2t + t
2t = even, 2t + t = even + odd = odd
E. t^2 + 1
t^2 = odd, t^2 + 1 = odd + odd = even
Correct option: D
Question: For a certain exam,a score of 42 was 5 standard deviations below mean and a score of 67 was 2.5 standard deviations above mean.What was the mean score for the exam?
A.74
B.76
C.78
D.58.67
Answer: D.58.67
Explanation: Mean-5SD=42
Mean+2.5SD=67
By solving above equations we get,
SD (absolute value)=3.33
Mean=58.67
ANS. D
Question: If M equals the sum of the odd integers from 1 to 111, inclusive, and T equals the sum of the even integers from 2 to 50, inclusive, what is the value of M + T?
A.400
B.5550
C.6922
D.3786
Answer: D.3786
Explanation: Use following formulae for such problems:
Sum of evenly spaced integers = (# of integers)*(mean of integers)
# of integers = [(last - first)/2] + 1
Mean of integers = (last + first)/2
In above problem:
# of integers = [(111 - 1)/2] + 1= 56 and [(50-2)/2]+ 1 = 25
Mean of integers = (111 + 1)/2 = 56 and (50 + 2)/2 = 26
Sum of integers = (56*56) = 3136 and (25*26) = 650
Thus their sum (M + T) = 3786
ANSWER:D
Question: The sum of three consecutive numbers is 87. The greatest among these three numbers is:
A.26
B.28
C.29
D.30
Answer: D.30
Explanation: Let the numbers be x, x+1 and x+2
X+x+1+x+2=87
3x=84
X=28
Greatest number is =30
ANSWER D 30
Question: One fourth of a solution that was 10% sugar by weight was replaced by a second solution resulting in a solution that was 18percent sugar by weight. The second solution was what percent sugar by weight?
A.34%
B.24%
C.42%
D.18%
Answer: C.42%
Explanation: Instead of using complex calculations and remembering formulae, why dont u directly get to weighted average.
3 parts of 10% + 1 part of x (unknown) % = 4 parts of 18%
=> x% = 72%-30% = 42%
ans C it is.
Question: Evaluate: |9 - 8(3 - 12)| - |5 - 11| = ?
A.75
B.50
C.60
D.70
Answer: A.75
Explanation: According to order of operations, inner brackets first. Hence
|9 - 8(3 - 12)| - |5 - 11| = |9 - 8*(-9)| - |5 - 11|
According to order of operations, multiplication within absolute value signs (which may be considered as brackets when it comes to order of operations) next. Hence
= |9 + 72| - |5 - 11|
= |81| - |-6|
= 81 - 6 = 75
correct answer A)75
Question: A can do a piece of work in 10 days and B can do it in 15 days and C can do it 20 days. They started the work together and A leaves after 5 days and B leaves after 3 days from the beginning. How long will work lost?
A.2
B.4
C.5
D.6
Answer: D.6
Explanation: 5/10 + 3/15 + x/20 = 1
x = 18/3 = 6
Answer: D
Question: How many plants will be there in a circular bed whose outer edge measure 33 cms, allowing 4 cm2 for each plant ?
A.18
B.750
C.21
D.120
Answer: C.21
Explanation: Circumference of circular bed = 33 cm
Area of circular bed = (33)2â„4Ï€
Space for each plant = 4 cm2
âˆ´ Required number of plants
= (33)2â„4Ï€ Ã· 4 = 21.65 = 21(approx)
Answer C
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how
many minutes does the bus stop per hour ?
A.8 minutes
B.10 mintues
C.12 minutes
D.14 minutes
Answer: B.10 mintues
Explanation: Explanation:
Due to stoppages, it covers 9 km less.
Time taken to cover 9 km = (9/54) hour
= (1/6)*60 minutes
= 10 minutes
Answer: B
Question: Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 30%?
A.282
B.229
C.277
D.308.75
Answer: D.308.75
Explanation: Total CP per shirt = 225 + 1400/160 + 1.75 + 320/160 = Rs. 237.5
SP = CP[(100 + profit%)/100]
= 237.5 * [(100 + 30)/100] = Rs. 308.75.
Answer:D
Question: In the xy-coordinate system, if (m, n) and (m + 4, n + k) are two points on the line with the equation x = 2y + 5, then k =
A.1/2
B.1
C.2
D.5/2
Answer: C.2
Explanation: Since (m, n) and (m + 2, n + k) are two points on the line with the equation x = 2y + 5 they should satisfy m=2n +5 and m+4 =2 *(n+k)+5.
By 1st equation we have m-2n=5 and by 2nd equation m-2n = 2k+1 ---> 5=2k+1 --->k=2.
The answer is, therefore, (C).
Question: What is the decimal equivalent of (1/9)^2?
A.0.0123
B.0.0625
C.0.16
D.0.25
Answer: A.0.0123
Explanation: (1/9)² = (1/9)(1/9)= 1/81
APPROACH #1: use long division to divide 81 into 1 to get 1/81 = 0.0123
A
Question: Two numbers N and 16 have LCM = 48 and GCF = 8. Find N.
A.24
B.34
C.44
D.54
Answer: A.24
Explanation: The product of two integers is equal to the product of their LCM and GCF. Hence.
16 × N = 48 × 8
N = 48 × 8 / 16 = 24
correct answer A
Question: If a person buy radio worth Rs 2468 and pay 7% sales .how much price of radio should reduce to pay only Rs 2468.
A.162
B.158
C.159
D.130
Answer: A.162
Explanation: (x+.07x)=2468
1.07x=2468
x=2306
reduce=2468-2306=162
ANSWER:A
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
A.250
B.260
C.270
D.280
Answer: D.280
Explanation: Speed = 72 * 5/18 = 20 m/sec.
Time = 26 sec.
Let the length of the train be x meters.
Then, (x + 250)/26 = 20
x = 270 m.
Answer: Option D
Question: An integer n between 1 and 99, inclusive, is to be chosen at random. What is the probability that n(n+1) will be divisible by 2 ?
A.1/9
B.1/3
C.1/2
D.2/3
Answer: D.2/3
Explanation: n(n+1) to be divisible by 2 either n or n+1 must be a multiples of 2.
In each following group of numbers: {1, 2, 3}, {4, 5, 6}, {7, 8, 9}, ..., {97, 98, 99} there are EXACTLY 2 numbers out of 3 satisfying the above condition. For example in {1, 2, 3} n can be: 2, or 3. Thus, the overall probability is 2/3.
Answer: D.
Question: Jim drove 1096 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?
A.104 miles
B.432 miles
C.456miles
D.887 miles
Answer: A.104 miles
Explanation: The number of miles to drive to finish his journey is given by
1200 - 1096= 104 miles
correct answer A
Question: 385, 462, 572, 396, 423, 671, 264
A.385
B.423
C.671
D.264
Answer: B.423
Explanation: Solution
In each number except 423,the middle digit is the sum of the other two. Answer B