RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A train consists of 12 boggies, each boggy 15 metres long. The train crosses a telegraph post in 9 seconds. Due to some problem, one boggies were detached. The train now crosses a telegraph post in
A.18 sec
B.12 sec
C.15 sec
D.8.25 sec
Answer: D.8.25 sec
Explanation: Length of train = 12 Ã— 15 = 180 m.
Then, speed of train = 180â„9 = 20 m/s
Now, length of train = 11 Ã— 15 = 165m
âˆ´ Required time = 165â„20 = 8.25 sec.
Answer D
Question: Danny and Steve are running towards each other, each one from his own house. Danny can reach Steve's house in 33 minutes of running, which is half the time it takes Steve to reach Danny's house. If the two started to run at the same time, how much time longer will it take Steve to reach the halfway point between their houses than Danny to reach the halfway point between their houses?
A.16.5 minutes
B.33 minutes
C.49.5 minutes
D.66 minutes
Answer: A.16.5 minutes
Explanation: Danny's time is 33 minutes. The time to reach halfway is 16.5 minutes.
Steve's time is 66 minutes. The time to reach halfway is 33 minutes.
The time difference is 33 - 16.5 = 16.5 minutes
The answer is A.
Question: The average expenditure of a labourer for 8 months was 85 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income is
A.80
B.85
C.75
D.95
Answer: D.95
Explanation: Income of 8 months = (8 × 85) – debt
= 680 – debt
Income of the man for next 4 months
= 4 × 60 + debt + 30
= 270 + debt
∴ Income of 10 months = 950
Average monthly income = 950 ÷ 10 = 95
Answer D
Question: The three competitors in a race have to be randomly chosen from a group of three men and five women. How many different such trios contain at least one woman?
A.48
B.55
C.62
D.69
Answer: B.55
Explanation: The total number of ways to choose three runners 8C3 = 56
The number of trios with only males is 3C3 = 1
The number of trios which include at least one woman is 55.
The answer is B.
Question: If the length of the longest chord of a certain circle is 10, what is the radius of that certain circle?
A.2.5
B.5
C.10
D.15
Answer: B.5
Explanation: Longest chord of a circle is the diameter of the circle
diameter = 2 * radius
If diameter of the circle is given as 10 = 2 * 5
so radius of the circle = 5
correct answer - B
Question: In 1986 the book value of a certain car was 2/3 original price, and in 1988 its book value was 1/2 the original purchase price. By what percent did the book value for this car decrease from 1986 to 1988?
A.16 2/3%
B.25%
C.33 1/3
D.50%
Answer: B.25%
Explanation: In 1986- 200
In 1988- 150
Decrease of 50 over 200 between 86 and 88
So 25%
ANSWER:B
Question: In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 20 years replaced by a new boy. The age of the new boy is?
A.14 years 8 months
B.15 years
C.16 years 8 months
D.17 years 10 months
Answer: C.16 years 8 months
Explanation: Total decrease = (20 x 2) months
= 3 years 4 months
Age of the new boy
= 20 years - 3 years 4 months.
= 16 years 8 months.
ANSWER:C
Question: At a certain college, 40 percent of the total number of students are freshmen. If 50 percent of the fresh-men are enrolled in the school of liberal arts and, of these, 50 percent are psychology majors, what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?
A.10%
B.12%
C.14%
D.16%
Answer: A.10%
Explanation: Let's say there is a TOTAL of 100students at this college.
40 percent of the total number of students are freshmen.
# of freshmen = 40% of 100 =40
50 percent of the fresh-men are enrolled in the school of liberal arts...
Number of liberal arts freshmen = 50% of 40 = 20
...and, of these, 50 percent are psychology majors...
Number of liberal arts freshmen who are psychology majors = 50% of 20=10
What percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?
10/100= 10%
Answer:A
Question: A(7, w^3) is the (x, y) coordinate of point located on the parabola Y = X^2 + 15. What is the value of w?
A.3.
B.4.
C.5.
D.6.
Answer: B.4.
Explanation: y=x^2 +15
w^3=7^2+15
w^3=64
W=4
Answer B
Question: Find the principal which yields a simple interest of Rs. 20 and compound interest of Rs. 24 in two years, at the same percent rate per annum?
A.s. 50
B.s. 48
C.s. 42
D.s. 20
Answer: A.s. 50
Explanation: Explanation:
SI in 2 years = Rs. 20, SI in 1 year = Rs. 10
CI in 2 years = Rs. 24
% rate per annum = [(CI – SI) / (SI in 1 year)] *100
= [(24 – 20) / 20] * 100
= 20 % p.a.
Let the principal be Rs. X
Time = T = 2 years
% rate = 20% p.a.
SI = (PRT/100)
20 = (X*20*2) / 100
X = Rs. 50
ANSWER: A
Question: A man has Rs. 512 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.96
B.70
C.50
D.80
Answer: A.96
Explanation: Let number of notes of each denomination be x.
Then x + 5x + 10x = 512
16x = 512
x = 32.
Hence, total number of notes = 3x = 96.
Answer is A.
Question: A man is 25 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is?
A.11
B.23
C.27
D.22
Answer: B.23
Explanation: Let the son's present age be x years.
Then, man's present age = (x + 25) years.
(x + 25) + 2 = 2(x + 2) x + 27 = 2x + 4 => x = 23.
Answer: B
Question: If it is 5:22 in the evening on a certain day, what time in the morning was it exactly 2,880,695 minutes earlier? (Assume standard time in one location.)
A.5:30
B.5:32
C.5:47
D.5:49
Answer: C.5:47
Explanation: 5:22 minus 2,880,695 must end with 7, the only answer choice which ends with 7 is C.
Answer: C.
Question: The probability of a team winning a match given Matt is playing the match is 0.75. The probability of the team winning a match given Matt is not playing the match is 0.6. The probability of Matt playing any match is 0.8.
If it is known that the team has won the last match, what is the probability that Matt played the match?
A.A)0.8333
B.B)0.7
C.C)0.8571
D.D)0.7531
Answer: A.A)0.8333
Explanation: Out of 100 matches:
Matt is plays in 80 and not plays in 20.
Out of 80 matches Matt plays in, team wins 0.75*80 = 60.
Out of 20 matches Matt does not play in, team wins 0.6*20 = 12.
So, out of 100 matches 60 + 12 = 72 are won.
It is known that the team has won the last match. Out of 72 matches won, Matt is in 60: 60/72 = 0.833...
Answer: A.
Question: A class of 4 Gangs is to be chosen from five Gangs.Each Gang contains 2 people.What is the number of different Gangs that can be chosen if two people who are in same gang to each other cannot both serve on the class?
A.840
B.960
C.60
D.720
Answer: B.960
Explanation: Each GANG can send only one representative to the class. Let's see in how many ways we can choose 3 gangs (as there should be 3 members) out of 4 to send only one representatives to the class: 5C4=60.
But each of these 3 gangs can send two persons : 2*2*2*2=2^4=16.
Total # of ways: 5C4*2^4=960.
Answer: B.
Question: The sum of all the integers k such that –23 < k < 24 is
A.0
B.-43
C.-25
D.-49
Answer: B.-43
Explanation: -22------------------0-----------------23
values upto+23 cancels outwe are left with only -22-21 sum of which is - 43. hence option D.
B
Question: Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age ?
A.1 year
B.2 year
C.25 year
D.Data inadequate
Answer: D.Data inadequate
Explanation: Solution
R - Q = R - T	Q = T.
Also,	R + T = 50
‹=› R + Q = 50.
So, (R - Q) cannot be determined.
Answer D
Question: If b does not equal zero, and ab = b/2, what is the value of a?
A.A)1/8
B.B)1/4
C.C)1/3
D.D)1/2
Answer: D.D)1/2
Explanation: Explanation:
To solve for a, divide both sides of the equation by b: ab = b/2
(ab)/b = (b/2)/b
a = (b/2)*1/b
a = 1/2
Answer: (D).
Question: If grapes are 92% water and raisins are 20% water, then how much did a quantity of raisins, which currently weighs 10 pounds, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)
A.25 pounds
B.46 pounds
C.92 pounds
D.100 pounds
Answer: D.100 pounds
Explanation: Since only water evaporates, then the weight of pulp (non-water) in grapes and raisins is the same. Thus 0.08*{weight of grapes}=0.8*{weight of raisins} --> 0.08x = 0.8*10 --> x = 100.
Answer: D.
Question: Excluding stoppages, the speed of a bus is 40 kmph and including stoppages, it is 30 kmph. For how many minutes does the bus stop per hour?
A.10 min
B.12 min
C.18 min
D.15 min
Answer: D.15 min
Explanation: Due to stoppages, it covers 10 km less.
Time taken to cover 10 km = (10/40 x 60) min = 15 min
Answer : D
Question: If the difference between compound interest (interest compounded yearly)and simple interest on a sum for 2 years at 10% p.a. is Rs.150 then sum is
A.Rs.12,000
B.Rs.15,000
C.Rs.13,000
D.Rs.10,000
Answer: B.Rs.15,000
Explanation: compund interest = p[1+r/100]^t-p
CI = p[21/100]
simple interest = ptr/100
SI = p[20/100]
difference p[21/100]-p[20/100] = 150
p=15,000
ANSWER:B
Question: Jessica can text 85 words per minute, while Maurice can text 25 words per minute. An abridged English translation of Tolstoy’s War and Peace contains 410,400 words. Working together, how many days will it take Jessica and Maurice to text the entire abridged translation of War and Peace?
A.0.3
B.1.3
C.3
D.2.6
Answer: D.2.6
Explanation: Since the answer choices are reasonably spaced out, we can approximate and save time
Combined words per day = 110*60*24
410400/158400 will be closest to only 2.6
So, Answer should be D.
Question: A and B can do a piece of work in 18 days; Band C can do it in 24 days A and C can do it in 36 days. In how many days will A, Band C finish it together?
A.14
B.16
C.19
D.18
Answer: B.16
Explanation: (A + B)'s 1 day's work = (1/18) (B + C)'s 1 day's work = (1/24)
and (A + C)'s 1 day's work = (1/36)
Adding, we get: 2 (A + B + C)'s 1 day's work =¬(1/18 + 1/24 + 1/36)
=9/72 =1/8
(A +B + C)'s 1 day's work =1/16
Thus, A, Band C together can finish the work in 16 days.
ANSWER B 16
Question: How many common two-digit whole numbers are there which gives a remainder of 2 when divided by 9 and gives a remainder of 5 when divided by 8?
A.Five
B.Three
C.One
D.Two
Answer: C.One
Explanation: Answer = C) One
Two digit numbers giving remainder 2 when divided by 9 = 11, 20, 29, 38, 47, 56, 65, 74, 83, 92
Two digit numbers giving remainder 5 when divided by 8 = 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 93
Common Numbers = 29 = 1
Question: As a treat for her two crying children, a mother runs to the freezer in which she has two cherry ice pops, four orange ice pops, and four lemon-lime ice pops. If she chooses two at random to bring outside to the children, but realizes as she runs out the door that she cannot bring them different flavors without one invariably being jealous of the other and getting even more upset, what is the probability that she has to return to the freezer to make sure that they each receive the same flavor?
A.1/9
B.1/6
C.5/18
D.4/45
Answer: D.4/45
Explanation: Probability of not getting the same flavor ->
Favorable -> Cherry - orange [ 2C1 * 4C1 [or simply 2*4 ] or Cherry - lemon [ 2*4] or orange - lemon [4*4]
Prob = (2*4 + 2*4 + 4*4 ) / 9C2 = 32/360 = 4/45
Answer -> D
Question: Alex takes a loan of $6,000 to buy a used truck at the rate of 8 % simple Interest.Calculate the annual interest to be paid for the loan amount.
A.680
B.700
C.720
D.480
Answer: D.480
Explanation: From the details given in the problem Principle = P = $6,000 and R = 8% or 0.08 expressed as a decimal.
As the annual Interest is to be calculated, the time period T =1.
Plugging these values in the simple Interest formula,
I = P x T x R
= 6,000 x 1 x 0.08
= 480.00
Annual Interest to be paid = $480
answer :D
Question: If the diameter of circle R is 60% of the diameter of circle S, the area of circle R is what percent of the area of circle S?
A.50%
B.46%
C.36%
D.26%
Answer: C.36%
Explanation: Let diameter of circle R , dr = 60
and diameter of circle S , ds = 100
Radius of circle R , Rr = 30
Radius of circle S , Rs = 50
Area of circle R/ Area of circle S = (pi * Rr ^2 ) /( pi * Rs^2 )
= (30/50)^2 = (6/10)^2
=36%
Answer :C
Question: Find the number of square tiles to cover the floor of a room measuring 6.5 m * 8.5 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
A.768
B.476
C.429
D.428
Answer: A.768
Explanation: Floor area to be covered by tiles = 6 * 8 = 48
tiles area = 0.25 * 0.25 =0.0625
No. of tiles = 48/0.0625 = 768
Answer : A
Question: k = 2^n + 6, where n is an integer greater than 1. If k is divisible by 9, which of the following MUST be divisible by 9?
A.2^n - 8
B.2^n - 2
C.2^n-3
D.2^n + 4
Answer: C.2^n-3
Explanation: Given: k, M and N are integers
If k is a divisor of both N and M, then k is a divisor of N+M (and N–M and M–N)
We're told that 9 is a divisor of 2^n + 6
We also know that 9 is a divisor of9.
So, applying the abov erule, 9 is a divisor of 2^n + 6 +9, and 9 is a divisor of 2^n + 6 -9 =2^n-3
C
Question: A train speeds past a pole in 15 seconds and a platfrom 100 m long in 25 seconds. Its length is :
A.100 m
B.125 m
C.130 m
D.150 m
Answer: D.150 m
Explanation: Sol.
Let the length of the train be x metres and its speed be y m/sec.
They, x / y = 15 ⇒ y = x/15
∴ x + 100 / 25 = x / 15 ⇔ x = 150 m.
Answer D
Question: A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
A.5/1
B.5/9
C.5/5
D.5/3
Answer: B.5/9
Explanation: Two balls can be picked from nine balls in ⁹C₂ ways.
We select one white ball and one red ball from five white balls and four red balls. This can be done ⁵C₁ . ⁴C₁ ways.
The required probability
= (5 * 4)/⁹C₂
= 20/36
= 5/9
Answer:B
Question: Raju, Rahim, Rajesh together can do a work in 5 days. Raju alone can do the work in 10 days and Rahim alone can do the same work in 20 days. Find in what time Rajesh alone can do that work?
A.10days
B.15days
C.20days
D.30days
Answer: C.20days
Explanation: The required answer is = 5*10*20 / 10*20-5(10+20)
= 1000/50 = 20days
Answer is C
Question: A certain list consists of 21 different numbers. If n is in the list and n is 4 times the average(arithmetic mean) of the other 20 numbers in the list, then n is what fraction E of the sum of the 21 numbers in the list?
A. 1/20
B. 1/6
C. 1/5
D. 4/21
Answer: B. 1/6
Explanation: This is how I used to calculate which I think works pretty well:
if you let the average of the 20 other numbers equal a, can you write this equation for sum of the list (S)
n + 20a = S
the question tells us that
n = 4a
plug this back into the first equation and you get that the sum is 24a
4a + 20a = 24a
therefore fraction E of n to the total would be
4a/24a or 1/6
answer B
Question: What is 15 percent of 68?
A.7.6
B.8.7
C.9.1
D.10.2
Answer: D.10.2
Explanation: (15/100) * 68 = 10.2
The answer is D.
Question: What is 92% of 3/5?
A.0.552
B.69.0
C.0.6845
D.0.6859
Answer: A.0.552
Explanation: 92%*(3/5)=0.92*0.6=0.552
Answer :A
Question: The area of a rectangular plot is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the plot?
A.14 metres
B.20 metres
C.18 metres
D.16 metres
Answer: B.20 metres
Explanation: Explanation:
length =115% of breadth.
length×breadth =460 m2
⇒ 115% of breadth×breadth =460 m2
⇒ 115/100× breadth×breadth =460 m2
⇒ breadth×breadth =400 m2
⇒ breadth =20 m
Answer: Option B
Question: There are 13 South American countries, Anncy has won a ticket to fly from Denver to one South American country and then directly to another South American Country before returning home to Denver again. Assuming there are four airports in each country, how many flights paths can Anncy choose from?
A.13.12.11.10.4.4.
B.13.12.11.10.4
C.13.12.4.4.
D.13.12.4
Answer: C.13.12.4.4.
Explanation: flights paths can Anncy choose from There are 13 ways to chose the first destination,
then, 12 ways to chose next destination, with option of 4 airports (13x4)
then, to return he has 4 options to chose the airports
Thus, 13*12*4*4 ways.
Using permutations:
If the solution had written 13P1 instead of 13C1 it won't matter. As per the definition - making arrangements of the combinations gives permutations.
Since there are no arrangement for 1 item, permutationscombinations are equal.C
Question: A man opens a shop. He buys water bottles for 50 cents each, fruit for 25 cents each, and snacks for a dollar each. He wants to start a bundle of selling a bottle a water, 3 snacks and 2 fruits for D dollars. Every 5th bundle sold will be sold for 2 dollars and a complimentary snack at the owner's expense. What should he charge at least to not lose any money?
A.4.6
B.3.0
C.4.1
D.3.2
Answer: A.4.6
Explanation: W=0.50
F = 0.25
S = 1.00
B= W+2F+3S = 4.00 they pay, he pays 4, net loss 0
fifth bundle = 2 they pay, he pays 5, net loss 3 dollars
3/5 = 60 cents.
Charging 60 more cents on each bundle will be safe.
answer: A
Question: The marked price of a book is 20% more than the cost price. After the book is sold, the vendor realizes that he had wrongly raised the cost price by a margin of 25%. If the marked price of the book is Rs.30, what is the original cost price of the book?
A.Rs.30
B.Rs.25
C.Rs.45
D.Rs.20
Answer: D.Rs.20
Explanation: Let the incorrect cost price be C1 and let the original cost price be C2.
Marked price of book is Rs.30. It is 20% more than C1.
Therefore, (120/100) X C1 = 30
Or C1 = 25.
C1 is more than C2 margin of 25%.
Or C1 = (125/100)C2
Therefore, C2 = (100/125) x 25 = Rs 20
ANSWER:D
Question: (700 + 200) Ã— 4 Ã— (4 + 2) = ?
A.24500
B.21600
C.36600
D.22400
Answer: B.21600
Explanation: (700 + 200) Ã— 4 Ã— (4 + 2) = ?
or, ? =900 Ã— 4 Ã— 6 = 21600
Answer B
Question: The population of bacteria culture doubles every 2 minutes.approximately how many minutes will it take for the population to grow from 1000 to 500,000 bacteria?
A.10
B.12
C.14
D.18
Answer: D.18
Explanation: 2000^1,2000^2,2000^3,2000^4.......2000^9
population increases in this sequence
taking 9*2=18
ANSWER:D
Question: Using all the letters of the word "SATURDAY", how many different words can be formed?
A.A)7
B.B)8
C.C)8!
D.D)7!
Answer: C.C)8!
Explanation: Explanation:
Total number of letters = 8
Using these letters the number of 8 letters words formed is ⁸P₈ = 8!.
Answer: Option C
Question: The true discount on a bill due 9 months hence at 16% per annum is Rs. 270. The amount of the bill is
A.2200
B.2520
C.2600
D.3354
Answer: B.2520
Explanation: Explanation:
Let P.W. be Rs.x.
Then, S.I. on Rs. x at 16% for 9 months = Rs. 270.
x Ã— 16 Ã— (9/12) Ã— (1/100) = 270 or x = 2250.
P.W. = Rs. 2250
Sum due = P.W. + T.D. = Rs.(2250
270) = Rs. 2520
Answer: B
Question: 1/3 of certain journey is covered at the rate of 25kmph,one-fourth at the rate of 30kmph and the rest at 50 kmph.Find the avg speed for the whole journey.
A.45 kmph
B.44.35 kmph
C.33.333 kmph
D.39.57 kmph
Answer: C.33.333 kmph
Explanation: Average speed = total distance / total time
LCM = 3, 4 = 12
Average speed = 12 / (1/3*12*1/25 + ¼ * 12*1/30 +5/50)
= 12/ (4/25 + 3/30+ 5/30
= 150*12/54 = 33.333 kmph
C
Question: Thomas's salary and Matt's salary are in the ratio 1:2. If both get an increment of Rs. 4000 their salaries would be in the ratio of 7:12. Find Thomas's salary as of now?
A.5000
B.10000
C.15000
D.20000
Answer: B.10000
Explanation: Let salaries of Thomas and Matt be x and y respectively.
x/y = 1/2 => x = 1/2 y
(x+4000)/(y+4000) = 7/12
=> 12x + 48000 = 7y+28000=> 12x = 7y-20000
But x = 1/2 y
6y = 7y-20000
y = 20000
x = 10000
Thomas salary is Rs.10000
Answer:B
Question: In how many different ways can the letters of the word VALUES be arranged in such a way that the vowels occupy only the odd positions?
A.120
B.36
C.48
D.32
Answer: B.36
Explanation: The 3 vowels can be arranged in three odd places in 3! ways.
Similarly, the 3 consonants can be arranged in three even places in 3! ways.
The total number of arrangements in which vowels occupy odd positions = 3! Ã— 3! = 6 Ã— 6 = 36
The answer is B.
Question: 2, 3, 5, 16, 231, ?
A.62005
B.52120
C.422
D.53105
Answer: D.53105
Explanation: Explanation :
2
3
32 - 22 = 5
52 - 32 = 16
162 - 52 = 231
2312 - 162 = 53105
Answer : Option D
Question: In a certain city each of 28 primary schools is represented by a colored flag. Each flag consists of either a single color or a pair of two different colors. If each school has a different flag, what is the minimum number of colors needed for the flags. (Assume that the order of colors in a pair on a flag does not matter.)
A.7
B.9
C.8
D.10
Answer: A.7
Explanation: A.7:
if we have 7 colors we can choose pairs in 7C2 ways = 21 and single color flags are 7. Therefore total number of flags = 28.
ANS A.
Question: The sides of a square region, measured to the nearest centimeter, are 7 centimeters long. The least possible value of the actual area of the square region is
A.42.25 sq cm
B.45.25 sq cm
C.43.25 sq cm
D.50.25 sq cm
Answer: A.42.25 sq cm
Explanation: Though there might be some technicalities concerning the termnearest(as 6.5 is equidistant from both 6 and 7) the answer still should be A: 6.5^2=42.25.
Answer: A
Question: An ant walks an average of 500 meters in 12 minutes. A beetle walks 15% less distance at the same time on the average. Assuming the beetle walks at her regular rate, what is its speed in km/h?
A.2.215
B.2.5.
C.2.775
D.3.2
Answer: A.2.215
Explanation: the ant walks an average of 500 meters in 12 minutes
or,
500 meters in 1/5 hours
the beetle walks 15% less distance = 500-75=425 meters in 12 minutes
or,
0.425 km in 12/60 = 1/5 hours
speed = 0.425*5 = 2.125 km/h
Ans should be 2.125
ANSWER:A
Question: Father John forms a choir from the church attendants. 30 people attend John's church, and the choir has 28 spots available, with one person as the lead singer. How many different combinations does John have?
A.3005
B.4412
C.6544
D.12180
Answer: D.12180
Explanation: Pick the lead first - there are 30 choices. Now John has to pick 27 more choir members out of the 29 still available. The order of picking the other members does not matter, since they are not assigned different roles in the choir. Since John can't pick the same person twice, there is no repetition. Use the combinations formula for selecting 27 out of 29, no repetition, not ordered.
Now, there are 30 choices for the lead vocal - multiply the number of choices for the choir by 30, because you need a lead AND 27 other members: 30×29×14 choices
Hmmm. This is painful to calculate, but the solution is a number that ends with 0 (why? look at the unit's digit for each of the numbers that are multiplied: 0×9×4 = something that ends with 0).
12180 is the only answer that ends with 0. Hallelujah John!
Question: A department store perceived a run on a lower priced garment and raised the price by 20% to keep stock available until another shipment arrived. Customers fumed and the department store manager allowed them to purchase the garments at 80% of the new price to save face. What was the difference in the new retail price and the price the customers were allowed to pay instead?
A.4.0%
B.5.0%
C.6.0%
D.7.0%
Answer: A.4.0%
Explanation: Quantity X Rate = Price
1 X 1 = 1
0.8 X 1.20 = 0.960
Decrease in price = (0.040/1) Ã— 100 = 4.0%
Answer = Option A
Question: Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?
A.3
B.4
C.6
D.9
Answer: A.3
Explanation: On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted
A
Question: The least number which should be added to 4298 so that the sum is exactly divisible by 5, 6, 4 and 3 is?
A.12
B.22
C.32
D.42
Answer: B.22
Explanation: L.C.M. of 5, 6, 4 and 3 = 60.
On dividing 4298 by 60, the remainder is 38.
Number to be added = (60 - 38) = 22
B)
Question: A cistern is normally filled in 6 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
A.33
B.88
C.24
D.99
Answer: C.24
Explanation: 1/6 - 1/x = 1/8
x = 24
Answer: C
Question: Find the 37.5% of 976 ?
A.368
B.655
C.366
D.437
Answer: C.366
Explanation: 37.5 % of 976
= 37.5/100 * 976 = 375/1000 * 976 = 3/8 * 976
= 3 * 122 = 366.
Answer:C