RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of man is :
A.12 kg
B.60 kg
C.72 kg
D.96 kg
Answer: B.60 kg
Explanation: Solution
Volume of water displaced = (3 × 2 × 0.01) m3 = 0.06 m3.
∴ Mass of man = Volume of water displaced × Density of water
= (0.06 × 100)kg = 60 kg.
Answer B
Question: A man buys an item at Rs. 1300 and sells it at the loss of 20 percent. Then what is the selling price of that item
A.Rs. 660
B.Rs. 760
C.Rs. 860
D.Rs. 1040
Answer: D.Rs. 1040
Explanation: Explanation:
Here always remember, when ever x% loss,
it means S.P. = (100 - x)% of C.P
when ever x% profit,
it means S.P. = (100 + x)% of C.P
So here will be (100 - x)% of C.P.
= 80% of 1300
= 80/100 * 1300
= 1040
Option D
Question: In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.42, the number of 25 paisa coins is?
A.38
B.42
C.28
D.25
Answer: B.42
Explanation: 5x 6x 2x
50 25 100
250x + 150x + 200x = 4200
600x = 4200
x = 7 => 6x = 42
Answer: B
Question: Mrs. Rodger got a weekly raise of $185. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
A.$204
B.$231
C.$156
D.$185
Answer: D.$185
Explanation: Let the 1st paycheck be x (integer).
Mrs. Rodger got a weekly raise of $ 185.
So after completing the 1st week she will get $ (x+185).
Similarly after completing the 2nd week she will get $ (x + 185) + $ 185.
= $ (x + 185 + 185)
= $ (x + 370)
So in this way end of every week her salary will increase by $ 185.
D
Question: Find the area of a parallelogram with base 26 cm and height 16 cm?
A.297 cm2
B.384 cm2
C.672 cm2
D.416 cm2
Answer: D.416 cm2
Explanation: Area of a parallelogram
= base * height
= 26 * 16
= 416 cm2
Answer: D
Question: In a survey about potential presidential candidates A and B, 33% of the public like A and 51% like B. If the percentage of the public who like one candidate only is twice the percentage of the public who like both candidates, then what is the percentage of the public that like neither?
A.28%
B.32%
C.37%
D.22%
Answer: C.37%
Explanation: Let x be the percentage of people who like both.
Then the percentage of people who like only 1 but not both is 2x.
33% + 51% = 2x + 2(x) because the percentage who like both are counted twice.
Then x = 21% and 2x = 42%
100% = 21% + 42% + Neither
Neither = 37%
The answer is C.
Question: Calculate the effect changes in dimension of a rectangle will have on its area, if length is increased by 35% and its breadth is decreased by 21%?
A.4.65% increase
B.5.65% increase
C.6.65% increase
D.6.65% decrease
Answer: C.6.65% increase
Explanation: let L and B be 100 each
100 * 100 = 10000
L increase by 35% = 135
B decrease by 21% = 79
135 * 79 = 10665
6.65% increase
ANSWER:C
Question: Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?
A.25 hrs
B.28 hrs
C.20 hrs
D.35 hrs
Answer: C.20 hrs
Explanation: Explanation:
1/x + 1/(x + 10) = 1/12
x = 20
ANSWER IS C
Question: The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 60% of the required amount. What is the net difference in the expenditure on that product?
A.A)12.5%
B.B)13%
C.C)13.15%
D.D)14%
Answer: A.A)12.5%
Explanation: Quantity X Rate = Price
1 x 1 = 1
0.6 x 1.25 = 0.755
Decrease in price = (0.125/1) × 100 = 12.5%
A)
Question: Daniel went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 5%, then what was the cost of the tax free items?
A.A)18.7
B.B)20
C.C)21.3
D.D)21.5
Answer: A.A)18.7
Explanation: Total cost of the items he purchased = Rs.25
Given that out of this Rs.25, 30 Paise is given as tax
=> Total tax incurred = 30 Paise = Rs.30/100
Let the cost of the tax free items = x
Given that tax rate = 5%
∴ (25−30/100−x)5/100 = 30/100
⇒ 5(25 −0.3 −x) = 30
⇒ (25 − 0.3 − x) = 6
⇒ x = 25 − 0.3 − 6
= 18.7
A
Question: Each book on a certain shelf is labeled by a single category. For every 2 history books, there are 7 fantasy books and for every 2 fantasy books, there are 5 reference books. If the proportion of history to fantasy books is doubled, while the proportion of fantasy to reference books is maintained, which of the following could be the number of history books if there are fewer than 60 fantasy books on the shelf after the changes?
A.16
B.21
C.27
D.35
Answer: A.16
Explanation: For every 2 history books, there are 7 fantasy books:
Originally H:F = 2:7. After the change, H:F = 4:7 = 8:14
For every 2 fantasy books, there are 5 reference books:
F:R = 2:5 = 14:35
H:F:R = 8:14:35
There are fewer than 60 fantasy books, so there are 14, 28, 42, or 56 fantasy books.
The number of history books could be 8, 16, 24, or 32.
The answer is A.
Question: Tough and Tricky questions: Mixture Problems.
A drink holding 6 ounces of an alcoholic drink that is 1 part rum to 2 parts coke is added to a jug holding 31 ounces of an alcoholic drink that is 1 part rum to 3 parts coke. What is the ratio of rum to coke in the resulting mixture?
A.2:5
B.5:14
C.3:5
D.5:13
Answer: D.5:13
Explanation: Answer = D) 5:14
........................ Rum ..................... Coke ................. Total
First Drink ........... 2 ............................ 4 ..................... 6 (Ratio 1:2)
Second Drink ....... 8 ............................. 24 ................... 32 (Ratio 1:3)
Total .................. 10 ............................. 28 .................... 38
Ratio = 10:26 = 5:13
D
Question: Express a speed of 56 kmph in meters per second?
A.10.56 mps
B.17.56 mps
C.97.56 mps
D.15.56 mps
Answer: D.15.56 mps
Explanation: 56 * 5/18
= 15.56 mps
Answer: D
Question: A, B and C started a business A's investment is 2 times of B's investment is 5 times of C's investment. Find the profit of B in the total profit of Rs. 32000.
A.Rs. 25600
B.Rs. 8500
C.Rs. 10000
D.Rs. 8000
Answer: C.Rs. 10000
Explanation: Explanation:
A = 2B and B = 5C
=> A : B = 2:1 and B : C = 5 : 1
=> A : B : C = 10 : 5 : 1
Ratio of capitals of A, B and C = 10 : 5 : 1
B's share = Rs.[(5/16) × 32000] = Rs. 10000
Answer: Option C
Question: A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 80 revolutions. How many revolutions does the second wheel make in covering d feet?
A.80y/x
B.80x/y
C.80-x
D.80-y
Answer: B.80x/y
Explanation: A wheel covers 2πr distance in one revolution. where r= diameter/2
First wheel covers d feet in 80 rev. => d= 80* 2π * (x/2)
Second wheel covers d feet in let's say P revolutions; => d = P* 2π * (y/2)
comparing both equations:-
=> p= (80∗2π∗x/2)/(2π∗y/2)
=> 80x/y
Answer :- B
Question: On the number line, if x is halfway between -8 and 4, and if y is halfway between -4 and 6, what number is halfway between x and y?
A.-1.5
B.-0.5
C.0.5
D.1.5
Answer: B.-0.5
Explanation: x= -2 and y = 1.
The answer is B.
Question: Approximately how many cubic feet of water are needed to fill a circular swimming pool that is 80 feet across and 10 feet deep?
A.10000
B.50000
C.80000
D.85000
Answer: B.50000
Explanation: Answer Should be B.
V= \pir^2h= \pi*40^2*10= approximately 50000
Question: In a town 65% people watched the news on television , 40% read a newspaper and 25% read a newspaper and watched the news on television also. What percent of the people neither watched the news on television nor read a news paper ?
A.15
B.20
C.25
D.30
Answer: B.20
Explanation: n(a+b) = n(a) + n(b) - n(a*b), here + and * represents OR and AND
so n(a+b) = 65+40-25 = 80
so 20 % people neither watched TV nor read newspaper
ANSWER:B
Question: In 2010, Arman’s birthday was on a Thursday. What day of the week was it 65 days after his birthday?
A.Thursday
B.Friday
C.Saturday
D.Sunday
Answer: C.Saturday
Explanation: Day of week after 65 days after Arman's birthday = 7*9 + 2
Saturday as the period will have 9 weeks and 2 days .
The 2 days in the end will be Friday and Saturday .
Answer C
Question: Find the number of different prime factors of 2400
A.4
B.2
C.3
D.5
Answer: C.3
Explanation: Explanation:
L.C.M of 2400 = 3 x 2 x 2 x 2 x 2 x 2 x 5 x 5
3, 2, 5
Number of different prime factors is 3.
Answer: Option C
Question: A tap can fill a tank in 4 hours. After half the tank is filled, two more similar taps are opened. What is the total time taken to fill the tank completely?
A.1 hr 20 min
B.4 hr
C.3 hr
D.2 hr 40 min
Answer: D.2 hr 40 min
Explanation: Explanation:
1 tap can fill the tank in 4 hours.
Therefore
1 tap can fill half tank in 2 hours.
3 taps can fill the tank in 4/3 hour.
Therefore
3 taps can fill half tank in 4/6 hour =40 minutes.
Total time taken=2 hour 40 minutes
Answer: Option D
Question: At a certain conference, 80% of the attendees registered at least
two weeks in advance and paid their conference fee in full. If
10% of the attendees who paid their conference fee in full did
not register at least two weeks in advance, what percent of
conference attendees registered at least two weeks in
advance?
A. 18.0%
B. 62.0%
C. 79.2%
D. 88.89%
Answer: D. 88.89%
Explanation: I do not think that Venn will be helpful here. A table will make more sense. But here is my approach.
80% regestered at least 2 weeks and paid full fee.
10% paid full fee and did not registered at least 2 weeks in advance. Then 90% paid full fee and registered at least 2 weeks before.
90% *X=80% where X is the number of people who registerd 2 weeks in advance and paid full fee. (ANSWER D)
Question: If -1<x<0, what is the median M of these six numbers listed below
1/x^3,1/x^2, 1/x,x, x^2,x^3
A.1/x
B.x^2
C.x^2(x+1)/2
D.M=x(x^2+1)/2
Answer: D.M=x(x^2+1)/2
Explanation: My approach: Put any value between -1 and 0. you will get the answer. lets say 0.5. so the list will be as follows:
-8,-2,-0.5,-0.125 and last two numbers will be positive so need to see that.
median will be between -0.5 and -0.125.
So, (x^3+x)/2 (D).
Question: a little girl went to the farm to buy fruits. she bought a bag of apples and grabbed a bag of oranges which was 5 times as heavy as the apples. She brought home a total of 12 pounds of fruits. How many pounds was the oranges?
A.5
B.7
C.8
D.10
Answer: D.10
Explanation: pounds of apples = x
pounds of oranges = 5x
x + 5x = 12
6x = 12
x = 12/6 = 2
oranges = 5x = 5 * 2 = 10
ANSWER: D
Question: The smallest 3 digit prime number is
A.A)109
B.B)103
C.C)101
D.D)113
Answer: C.C)101
Explanation: The smallest 3-digit number is 100, which is divisible by 2.
100 is not a prime number.
101 < 11 and 101 is not divisible by any of the prime numbers 2, 3, 5, 7, 11.
101 is a prime number.
Hence 101 is the smallest 3-digit prime number.
C)
Question: A shopkeeper fixes the marked price of an item 30% above its cost price. The percentage of discount allowed to gain 6% is
A.18.45%
B.18.46%
C.18.47%
D.18.48%
Answer: B.18.46%
Explanation: Explanation:
Let the cost price = Rs 100
then, Marked price = Rs 130
Required gain = 6%,
So Selling price = Rs 106
Discount = 130 - 106 = 24
Discount% = (24/130)*100 = 18.46%
Option B
Question: To ‘yield’ is to surrender, submit, and obey someone unconditionally. 'Resist’ which means defy, oppose and refusing to accept is the opposite word.
A.22
B.278
C.277
D.99
Answer: A.22
Explanation: Answer:A
Question: At a recent small town election for mayor a total of 979 votes were cast for the four candidates, the winner exceeding his opponents by 53, 79 and 105 votes, respectively. How many votes were cast for the candidate in fourth place?
A.134
B.178
C.199
D.166
Answer: C.199
Explanation: The number of votes the winning candidate received was
979 + 53 + 79 + 105	/4= 304.
The second received 304 – 53 = 251
The fourth place received 304 – 105 = 199.
C
Question: The sum of the squares of three numbers is 125, while the sum of their products taken two at a time is 50. Their sum is:
A.15
B.30
C.40
D.50
Answer: A.15
Explanation: x^+y^2+z^2=125
xy+yz+zx=50
as we know.. (x+y+z)^2=x^2+y^2+z^2+2(xy+yz+zx)
so (x+y+z)^2=125+(2*50)
(x+y+z)^2=225
so x+y+z=15
ANSWER:A
Question: A sandwich of 6 ingredients is made from 4 types of meat and 8 types of cheese. The sandwich must have at least 1 type of meat and at least 2 types of cheese. How many ways can this plate be made?
A.896
B.196
C.890
D.300
Answer: A.896
Explanation: Solution: We have four possibilities 4M 2C , 3M 3C, 2M 4C, 1M 5C
(4C4)(8C2)+(4C3)(8C3)+(4C2)(8C4)+(4C1)(8C5)=896
A) 896
Question: There are 10 books on a shelf: 5 English books, 5 Spanish books and 2 Portuguese books. What is the probability of choosing 2 books in different languages?
A.1
B.0
C.1/3
D.31/45
Answer: A.1
Explanation: Probability = Favourable outcome / Total Outcome = 1- (Unfavourable outcome / Total Outcome)
METHOD-1
Favourable Outcomes
Case-1: One book is English (out of 5 English books) and one book is Spanish (out of 5 Spanish books) i.e. 5C1*5C1
Case-2: One book is Spanish (out of 5 Spanish books) and one book is Portuguese (out of 2 Portuguese books) i.e. 5C1*2C1
Case-3: One book is English (out of 5 English books) and one book is Portuguese (out of 2 Portuguese books) i.e. 5C1*2C1
Total favourable Outcomes = 5C1*5C1+5C1*2C1+5C1*2C1 = 25+10+10 = 45
Total Possible Outcomes = 10C2 = 45
i.e. Probability = 45/45 =1
A
Question: 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
A.9
B.12
C.10
D.13
Answer: D.13
Explanation: Explanation :
Let the required number of days be x
More persons, less days (indirect proportion)
More hours, less days (indirect proportion)
⇒ 39 × 5 × 12 = 30 × 6 × x
⇒ 39 × 5 × 2 = 30 × x
⇒ 39 = 3 × x
⇒ x = 13. Answer : Option D
Question: A survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of salary costs and fringe-benefit costs. If salary costs rose 3 percent and fringe-benefit costs rose 4.5 percent during 1993, then fringe-benefit costs represented what percent of employment costs at the beginning of 1993 ?
A. 16.5%
B. 20%
C. 33%
D. 55%
Answer: C. 33%
Explanation: The amount by which employment costs rose is equal to 0.035(salary costs + fringe benefit costs);
On the other hand the amount by which employment costs rose is equal to 0.03*salary costs + 0.045*fringe benefit costs;
So, 35(S+F) = 30S+45F --> S = 2F --> F/S = 1/2 --> F/(S+F) = 1/(1+2) = 1/3 = 0.33.
Answer: C.
Question: At what rate of interest p.a, will Rs.5500 be obtained as SI on Rs.25000 for 2yrs 9months?
A.8%
B.9%
C.10%
D.13%
Answer: A.8%
Explanation: Given P= Rs 25000 and
Time period = 2 years 9 months= 2
9
12
=
11
4
years
Simple Interest=
PTR
100
5500 = 25000 X
11
4
X
R
100
R = 8 %
A)
Question: A certain culture of bacteria quadruples every hour. If a container with these bacteria was half full at 9:00 a.m., at what time was it one-eighth full?
A.9:00 a.m.
B.8:00 a.m.
C.6:00 a.m.
D.4:00 a.m.
Answer: B.8:00 a.m.
Explanation: To go from one-eighth (1/8) full to half (1/2) full culture of bacteria should quadruple: 1/8*4=1/2, as it quadruples every hour then container was one-eighth full at 9:00 a.m -1 hour = 8:00 a.m.
Answer: B.
Question: Two pipes A and B can fill a tank in 25 hours and 35 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
A.20 hours
B.14 6/11 hours
C.10 hours
D.12 hours
Answer: B.14 6/11 hours
Explanation: Part filled by A in 1 hour = 1/25
Part filled by B in 1 hour = 1/30
Part filled by (A+B) in 1 hour = 1/25 + 1/30 = 11/150
Both the pipes together fill the tank in 150/11 = 14 6/11 hours
Answer is B
Question: For any number Z, Z* is defined as the greatest positive even integer less than or equal to y. What is the value of 6.32 – 6.32*?
A.1.5
B.0.5
C.0.32
D.0.25
Answer: C.0.32
Explanation: Since Z* is defined as the greatest positive even integer less than or equal to Z, then 6.32* =6 (the greatest positive even integer less than or equal to 6.32 is 6).
Hence, 6.32 – 6.32* = 6.32 - 6 = 0.32
Answer: C.
Question: A shopkeeper sells a transistor at Rs. 840 at a gain of 20% and another for Rs. 960 at the loss of 4%. Find his total gain percent.
A.5 12/17%
B.5 13/17%
C.5 14/17%
D.5 15/17%
Answer: D.5 15/17%
Explanation: Explanation:
In this type of question, we will first find total C.P. of items, then total S.P. of items, then we will get gain or loss. From which we can easily calculate its percentage.
So lets solve it now.
So, C.P. of 1st transistor = (100/120∗840)=700
C.P. of 2nd transistor = (100/96∗960)=
1000Total C.P. = 1700
Total S.P. = 1800
Gain = 1800 - 1700 = 100
Gain% = (100/1700∗100)=5 15/17%
Option D
Question: A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?
A.4 km/hr
B.6 km/hr
C.8 km/hr
D.Data inadequate
Answer: B.6 km/hr
Explanation: Solution
Rate Downstream	= (16 / 2) kmph
= 8 kmph
Rate upstream	=(16 / 4) kmph
= 4 kmph.
Speed in still water	= 1 / 2 (8 + 4)kmph
= 1/2 x 12
= 6 kmph.
Answer B
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm?
A.277 cm2
B.287 cm2
C.285 cm2
D.262 cm2
Answer: C.285 cm2
Explanation: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)
= 1/2 (20 + 18) * (15)
= 285 cm2
Answer: C
Question: In a kilometer race, X beats Y by 50 meters or 10 seconds. What time does X take to complete the race?
A.190 sec.
B.176 sec.
C.154 sec.
D.120 sec.
Answer: A.190 sec.
Explanation: A
190 sec.
Time taken by Y run 1000 meters = (1000 * 10)/50 = 200 sec.
Time taken by X = 200 - 10 = 190 sec.
Question: A number x is multiplied by 5, and this product is then divided by 7. If the positive square root of the result of these two operations equals x, what is the value of x if x≠0 ?
A.25/9
B.9/5
C.5/7
D.3/5
Answer: C.5/7
Explanation: sqrt(5x/7) to be perfect square x has to 5/7
Ans: C
Question: if 12 men working 2 hours a day take 10 days to complete a job, how long will 8 men working 6 hours a day take to do the same work?
A.3
B.4
C.5
D.6
Answer: C.5
Explanation: 12 men working 2 hours in a day means,
= 12 * 2hrs
= 24hours of work complete in 1day.
Therefore for 10 days,
= 10 *24hours
= 240hours of work done by 12men.
8 men working for 6hours in a day means,
= 8 *6hours
= 48hours of work is completed in 1 day.
Therefore,
= 240/48
= 5days take to work by 8 men for 6hours in a day.
ANSWER:C
Question: A, B and C started a business with a total investment of Rs. 90000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, Find B's share.
A.Rs. 2592
B.Rs. 2520
C.Rs. 2880
D.Rs. 3360
Answer: A.Rs. 2592
Explanation: Explanation:
Let C's investment = Rs. x
B's investment = Rs. (x - 3000)
A's investment = Rs. (x - 3000 + 6000) = Rs. (x + 3000)
Now, (A + B + C)'s investment = Rs. 90000
=> x + (x - 3000) + (x + 3000) = 90000
=> 3x = 90000
=> x = 30000
Hence, A's investment = Rs. 33000
B's investment = Rs. 27000
C's investment = Rs. 30000
Ratio of the capitals of A, B and C
= 33000 : 27000 : 30000
= 11 : 9 : 10
A's share = Rs. [(9/30) Ã— 8640] = Rs. 2592
Answer: Option A
Question: Month	Average Price
per Dozen
April $1.2
May $1.20
June $3.00
The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
A.1.8
B.2.2
C.2
D.1.9
Answer: C.2
Explanation: Say x dozen eggs were sold in May.
Then 2x/3 dozen eggs were sold in April and 2*2x/3=4x/3 dozen eggs were sold in May.
Total x+2x/3+4x/3=3x dozen eggs were sold in three months.
Total sales: 2x/3*1.2+x*1.2+4x/3*3.00=$6.00x. The average price per dozen 6.00x/3x=$ 2.00
C
Question: 789.009 - ? + 56.84 = 215.943
A.899.015
B.752.804
C.714.642
D.629.906
Answer: D.629.906
Explanation: Explanation:
629.906
Answer: Option D
Question: The price of a T.V. set worth Rs. 20000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
A.19009
B.19074
C.19008
D.19000
Answer: D.19000
Explanation: Explanation:
Money paid in cash = Rs. 1000
Balance payment = (20000 - 1000) = Rs. 19000
Answer: Option D
Question: I. p-14, p, p, p, p+14
II. b, b+1, b+2, b+3, b+4
III. c, c, c, c, c
The data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following?
A.I, II, III
B.I, III, II
C.II, III, I
D.III, I, II
Answer: A.I, II, III
Explanation: S.D is a non-negative entity. Also, for a given set with all the elements same, the S.D is Zero(It is zero even if there is only one element in the set too). From the given sets, we can see that the last set has a standard deviation of zero. Also, because the other sets can not have all the terms equal for any values of p or b, thus the S.D for the third set(III) has to be the minimum. Select the option which has III in the end.
A.
Question: A password of a computer consists of nine digits 1 through 7. What is the probability that the first digit is a 2 and the second digit is divisible by 3 ?
A.1/9
B.1/21
C.1/24.5
D.1/49
Answer: C.1/24.5
Explanation: There is one possibility out of seven that the first digit is correct, and two possibilities that the second digit is correct (3 and 6). We don't care about the remaining digits, so the overall probability is 1/7 * 2/7 or 1/24.5 (answer C)
Question: What will come in place of (a) in the following expression?
a - 796.21 + 498.05 = 215.50 – 425.01
A.71.81
B.81.71
C.84.74
D.88.65
Answer: D.88.65
Explanation: Explanation:
a - 796.21 + 498.05 = 215.50 - 425.01
a = 88.65
ANSWER: D
Question: There are 136 employees in Company X. If the number of employees who birth in June is the greatest, what is the least possible number of the employees in the company who birth in June?
A.15
B.11
C.12
D.13
Answer: A.15
Explanation: IMO 15
Take each answer choice and substract it from 136 and the divided this with 11. A
Question: A train passes a station platform in 50 sec and a man standing on the platform in 15 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
A.227
B.500
C.550
D.525
Answer: D.525
Explanation: Speed = 54 * 5/18 = 15 m/sec.
Length of the train = 15 * 15 = 225 m.
Let the length of the platform be x m . Then,
(x + 225)/50= 15 => x = 525m.
Answer:D
Question: In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is?
A.1 hr
B.2 hr
C.7 hr
D.8 hr
Answer: A.1 hr
Explanation: Let the duration of the flight be x hours. Then,
600/x - 600/(x + 1/2) = 200
x(2x + 1) = 3 2x2 + x - 3 = 0
(2x + 3)(x - 1) = 0
x = 1 hr.
Answer:A
Question: On an order of 99 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of:
A.0.1%
B.0.5%
C.1%
D.5%
Answer: C.1%
Explanation: Clearly, the retailer gets 1 dozen out of 100 dozens free.
Equivalent discount = 1/100 * 100 = 1%.
Answer C) 1%
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
A.45km/hr
B.50 km/hr
C.54 km/hr
D.55 km/hr
Answer: B.50 km/hr
Explanation: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 45 ==> x = 50 km/hr.
ANSWER B
Question: Average of five consecutive even numbers is 35. Find the greatest number in these five numbers?
A.32
B.35
C.39
D.41
Answer: C.39
Explanation: 39
Option 'C'