RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A shipment of 1500 heads of cabbage, each of which was approximately the same size, was purchased for $900. The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head. The following day the rest were sold at a price equal to 10% less than the price each head sold for on the day before. What was the total gross profit on this shipment.
A.$100
B.b $115
C.c $187.5
D.d $130.5
Answer: C.c $187.5
Explanation: Purchase cost = 900/1500= $ 0.6
25% above the cost per head = (125/100)*0.6= $ 0.75
2/3 of the heads were sold means 2/3*1500 =1000 ,Selling amount for 1000 cabbage = 1000 * 0.75 = $ 750
Remaining were sold at a price equal to 10% less than the price each head sold for on the day before i.e , (90/100)*0.75 = $ 0.675
Hence selling cost for the remaining cabbage = 500 * 0.675 = $ 337.5
Total selling cost = 750 + 337.5 = $ 1087.5
Gross profit = $ 1087.5 - $ 900 = $ 187.5
Hence Answer is C.
Question: Anil invested a capital of Rs.5000 and Sunil invested Rs.10000. Anil invested for a time period which is double than the time period for which Sushil invested. How will a profit of Rs.4000 be divided between them?
A.1000, 3000
B.3000,1000
C.2500,1500
D.2000,2000
Answer: D.2000,2000
Explanation: suppose time duration for sunil is 'x' and thus time duration for anil will be '2x'
So their investment ratio will be 5000*2x:10000*x= 1:1
Therefore profit 4000 will be divided into 1:1 ratio i.e. 2000 & 2000
ANSWER:D
Question: A train passes a station platform in 32 seconds and a man standing on the platform in 12 seconds. If the speed of the train is 72 km/hr, what is the length of the platform?
A.340
B.360
C.380
D.400
Answer: D.400
Explanation: The speed of the train is 72 * 5/18 m/s = 20 m/s
The length of the train is 20 x 12 = 240 m
platform + 240 = 20 * 32
platform = 640 - 240 = 400
The answer is D.
Question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 5 days?
A.5/18
B.1/6
C.1/4
D.1/9
Answer: A.5/18
Explanation: A's one day's work = 1/30
B's one day's work = 1/45
(A + B)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 5 days = 5 (1/18) = 5/18.
ANSWER A
Question: In store A there are 20 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?
A.3:16.
B.2:3.
C.1:3.
D.3:4.
Answer: B.2:3.
Explanation: 1st statement : ratio of pants
Store A : Store B
20x : 40x
X:2X
Price :
4y:3y
Total revenue
4xy : 6xy
2:3
Answer is B
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 15 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
A.78
B.60
C.26
D.23
Answer: B.60
Explanation: Relative speed = 45 + 15 = 60 km/hr.
60 * 5/18 =50/3 m/sec.
Distance covered = 500 + 500 = 1000 m.
Required time = 1000 * 3/50 = 60 sec.
Answer:B
Question: The cost of an item was reduced from its usual selling price of $23.99 to $17.99. Which of the following is closest to the percent decrease in the price of the item?
A.17%
B.21%
C.24%
D.25%
Answer: D.25%
Explanation: The price decreased by 23.99 - 17.99 = $6.
$6 is a bit more than 25% of original price of $24.
Answer: D.
Question: In a bag,there are coins of 25 p,10 p and 5 p in the ratio of 1 : 2 : 3.If there are Rs.30 in all,how many 5 p coins are there ?
A.50
B.100
C.150
D.200
Answer: C.150
Explanation: Solution
Let the number of 25 p,10 p and 5 p coins be x,2x and 3x respectively.
Then,sum of their values = Rs.(250x/100 +10x2x100 +5x3x/100) = Rs.60x/100
∴60/100 = 30 x =30x100/60 = 50.
Hence,the number of 5 p coins = (3x50) = 150
Answer C
Question: If 20 liters of chemical X are added to 80 liters of a mixture that is 5% chemical X and 95% chemical Y, then what percentage of the resulting mixture is chemical X?
A.24%
B.26%
C.28%
D.30%
Answer: A.24%
Explanation: The amount of chemical X in the solution is 20 +0.05(80) = 24 liters.
24 liters / 100 liters = 24%
The answer is A.
Question: A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.575 in all. Find the share of B?
A.130
B.120
C.218
D.140
Answer: B.120
Explanation: A+B+C = 575
A = 3B
3B+B+B-25 = 575
5B = 600
B = 120
Answer: B
Question: How many liters of water must be added to 18 liters of milk and water containing 10% water to make it 40% water?
A.6
B.7
C.8
D.9
Answer: D.9
Explanation: By rule of alligation:
40% - 10% = 30%
100% - 40% = 60%
Quantity of pure water : Quantity of the mixture = 1 : 2
There are 18 liters of mixture, so we need to add 9 liters of pure water.
The answer is D.
Question: In Kiran's opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Kiran and he thinks that Kiran's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Kiran?
A.70 kg
B.69 kg
C.61 kg
D.67 kg
Answer: D.67 kg
Explanation: Explanation:
Let Kiran's weight = x. Then
According to Kiran, 65 < x < 72 ----(equation 1)
According to brother, 60 < x < 70 ----(equation 2)
According to mother, x ≤≤ 68 ----(equation 3)
Given that equation 1,equation 2 and equation 3 are correct. By combining these equations, we can write as
65<x≤68
i.e., x = 66 or 67 or 68
Average of different probable weights of Kiran = 66+67+683=67
Answer: Option D
Question: The average of six numbers is 3.75. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?
A.4.7
B.4.6
C.4.0
D.4.1
Answer: C.4.0
Explanation: Explanation:
Sum of the remaining two numbers = (3.75 * 6) - [(3.4 * 2) + (3.85 * 2)]
= 22.50 - (6.8 + 7.7) = 22.50 - 14.5 = 8.
Required average = (8 / 2) = .
Answer: C) 4.0
Question: A committee of 5 persons is to be formed from 3 company secretaries, 4 economists and 1 chartered accountant. What is the probability that each of the three professions is represented in the committee?
A.1/28
B.3/28
C.60/14
D.4/28
Answer: C.60/14
Explanation: 3/8*4/7*1/6*5! = 3/14. We are multiplying by 5! because we can choose secretary,economist, and accountant is several way:
Answer: C.
Question: A batsman scored 100 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
A.45(4/11) %
B.40 %
C.45(5/11) %
D.44(5/11) %
Answer: B.40 %
Explanation: Explanation :
Total runs scored = 100
Total runs scored from boundaries and sixes = 3 x 4 + 8 x 6 = 60
Total runs scored by running between the wickets = 100 - 60 = 40
Required % = (40/100) × 100 = 40%
Answer : Option B
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start at same point at 10:30 am. They shall first cross each other at ?
A.7:15 am
B.7:30 am
C.10: 42 am
D.7:50 am
Answer: C.10: 42 am
Explanation: Explanation:
Relative speed between two = 6-1 = 5 round per hour
They will cross when one round will complete with relative speed,
which is 1/5 hour = 12 mins.
So 10:30 + 12 mins = 10:42
Option C
Question: Maria bought 10 notebooks and 5 pens costing 2 dollars each.How much did Maria pay?
A.$10
B.$20
C.$30
D.$40
Answer: C.$30
Explanation: 2 × (10 + 5) = 2 × 10 + 2 × 5 = 20 + 10 = 30 dollars
correct answer is C)$30
Question: If x = 3d, where d is a prime number greater than 2, how many different positive even divisors does x have, including x?
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: d is prime greater than 2 thus d is odd
3d is odd
Thus no even factors
Ans:A
Question: Elizabeth can get a certain job done in 15 days, and Tony can finish only 75% of that job within the same time. Tony worked alone for several days and then Elizabeth joined him, so they finished the rest of the job in 6 days, working together.
For how many days have each of them worked and what percentage of the job have each of them completed?
A.5 days and 40%
B.6 days and 30%
C.6 days and 40%
D.7 days and 40%
Answer: C.6 days and 40%
Explanation: First we will find the daily productivity of every worker. If we consider the whole job as unit (1), Elizabeth does 115 of the job per day and Tony does 75% of 115, i.e.
75100⋅115=120. Suppose that Tony worked alone for x days. Then he finished x20 of the total job alone. Working together for 6 days, the two workers finished 6⋅(115+120)=6⋅760=710 of the job.
The sum of x20 and 710 gives us the whole job, i.e. 1. So we get the equation:
x20+710=1
x20=310
x=6. Tony worked for 6 + 6 = 12 days and Elizabeth worked for 6 days. The part of job done is 12⋅120=60100=60% for Tony, and 6⋅115=40100=40% for Elizabeth.
Answer is C.
Question: How many different positive integers are factors of 36 ?
A. 4
B. 6
C. 7
D. 9
Answer: D. 9
Explanation: 6×6=3^2 × 2^2
So total factors = (2+1)(2+1) = 9
Answer: D
Question: A departmental store charges the commission of 18 percent on the first sale of items worth $50,000 and then an additional 10 percent on any sale price that exceeds the initial $50,000. If the department store earned $24,000 in commissions for the sale of a series of diamonds, what was the sale price of the diamond set?
A. $215,000
B. $365,000
C. $115,000
D. $200,000
Answer: D. $200,000
Explanation: 24,000 = 0.18 *(50000) + 0.10 (x - 50000)
24000 - 9000 = 0.10 (x-50000)
150000 = x - 50000
x = 2,00,000
Answer : D
Question: Fill in the missing number:
18 14 ? 11 10.5 10.25
A.10.1
B.12
C.10.2
D.10.5
Answer: B.12
Explanation: 12
Divide each number by 2 and then add 5 to it.
ANSWER B
Question: P, Q and R can do a piece of work in 20, 30 and 60 days respectively. In how many days can P do the work if he is assisted by Q and R on every third day?
A.15 DAYS
B.12 DAYS
C.10 DAYS
D.18 DAYS
Answer: A.15 DAYS
Explanation: P's 2 day's work =	1/20*2=1/10
P+Q+R)'S 1 DAY'S WORK = 1/20+1/30+1/60 = 6/60 = 1/10
WORK IN DAYS = 1/5
NOW 1/5 DONE IN 3 DAYS
WHOLE WORK WILL BE DONE IN(3*5) = 15 DAYS
ANSWER A
Question: A train 300 m long passed a pole in 14 sec. How long will it take to pass a platform 540 m long?
A.12 sec
B.59 sec
C.40 sec
D.45 sec
Answer: C.40 sec
Explanation: Speed = 300/14
= 21 m/sec.
Required time = (300 + 540)/21
= 40 sec.
Answer: C
Question: Which is greater than 99?
A.9
B.99
C.9.9
D.999
Answer: D.999
Explanation: 999 greater than 99.
Answer: D
Question: The least common multiple of positive integer q and 3-digit integer n is 690. If n is not divisible by 3 and q is not divisible by 2, what is the value of n?
A.115
B.230
C.460
D.575
Answer: B.230
Explanation: The LCM of n and q is 690 = 2*3*5*23.
q is not divisible by 2, thus 2 goes to n
n is not divisible by 3, thus 3 goes to q.
From above:
n must be divisible by 2 and not divisible by 3: n = 2*... In order n to be a 3-digit number it must take all other primes too: n = 2*5*23 = 230.
Answer: B.
Question: Find the value of 72516 x 9999 = m?
A.345434667
B.246465757
C.465767867
D.725087484
Answer: D.725087484
Explanation: 72516 x 9999 = 72516 x (10000 - 1)
= 72516 x 10000 - 72516 x 1
= 725160000 - 72516
= 725087484
D
Question: A rectangular rug with side lengths of 4 feet and 6 feet is placed on a square floor that has an area of 64 square feet. If the surface of the rug does not extend beyond the area of the floor, what fraction of the area of the floor is not covered by the rug?
A.A.3/16
B.1/4
C.C.1/2
D.5/8
Answer: D.5/8
Explanation: Area of the rectangular rug = 4*6 = 24
Fraction not covered by the rug = (Total Area - Rug area) / Total Area
= (64 - 24)/64
= 5/8=D
Question: There are 10 reading spots in a room. Each reading spot has a round table. Each round table has 4 chair. If different no of persons are sitting at each reading spot. And if there are 10 persons inside the room then how many reading spots donot have atleast a single reader.
A.5
B.6
C.8
D.9
Answer: B.6
Explanation: 10 reading spots and 4 chairs each
total 10 persons
different no. of seating must
so
1st-1person
2nd-2person
3rd-3person
4th-4person
by above way 10 peoples are seated
so empty chairs = 10chairs - 4chairs = ans: 6chairs
ANSWER:B
Question: A fruit seller sells 8 oranges at a cost price of 9. The profit percent is
A.12 1⁄2
B.11 1⁄9
C.5 15⁄17
D.8 2⁄3
Answer: A.12 1⁄2
Explanation: Let C.P. of one orange = 1
Then C.P. of 8 oranges = 8
S.P of 8 oranges = 9
∴ Gain % = 9−8/8×100=100/8=12 1/2%
Answer A
Question: By selling an article at Rs.300, a profit of 25% is made. Find its cost price?
A.s.486
B.s.455
C.s.240
D.s.480
Answer: C.s.240
Explanation: SP = 300
CP = (SP)*[100/(100+P)]
= 300* [100/(100+25)]
= 300* [100/125]
= Rs.240
Answer: C
Question: A and B start a business with Rs.5000 and Rs.15000 respectively. How should they share their profits at the end of one year?
A.1:3
B.3:4
C.2:5
D.3:7
Answer: A.1:3
Explanation: They should share the profits in the ratio of their investments.
The ratio of the investments made by A and B =
5000 : 15000 => 1:3
ANSWER:A
Question: P , Q, R enter into a partnership & their share are in the ratio 1/2 : 1/3 : 1/4 , after two months , P withdraws half of the capitals & after 10 months , a profit of Rs 378 is divided among them . What is P's share?
A.114
B.126
C.134
D.144
Answer: B.126
Explanation: Explanation :
The ratio of their initial investment = 1/2 : 1/3 : 1/4
= 6 : 4: 3
Let's take the initial investment of P, Q and R as 6x, 4x and 3x respectively
A:B:C = (6x * 2 + 3x * 10) : 4x*12 : 3x*12
= (12+30) : 4*12 : 3*12
=(4+10) : 4*4 : 12
= 14 : 16 : 12
= 7 : 8 : 6
P's share = 378 * (7/21) = 126. Answer : Option B
Question: Out of the total production of iron from hematite, an ore of Iron, 20% of the ore gets wasted, and out of the remaining iron, only 25% is pure iron. If the pure iron obtained in a year from a mine of hematite was 80,000 kg, then the quantity of hematite mined from that mine in the year is
A.5,00,000 kg
B.4,00,000 kg
C.4,50,000 kg
D.None of these
Answer: B.4,00,000 kg
Explanation: Solution: Let 100 kg of hematite be obtained then 20% of it get wasted that means 80 kg of ore remains.
Pure iron = 25% of remaining ore = 80*25/100 = 20 kg.
20 kg pure Iron is obtained from 100 of hematite.
1 kg pure Iron is obtained from = 100/20 hematite;
Then, 80000 kg pure Iron is obtained from = (100/20)*80000 = 400000 kg hematite.
Answer: Option B
Question: 3 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2candidates. In how many ways can one cast his vote?
A.11
B.12
C.15
D.16
Answer: C.15
Explanation: There are 6 candidates and a voter has to vote for any two of them.
So, the required number of ways is,
= 6C2 = 6!/2!*4!
= 15.
C
Question: If the largest three digit number is subtracted from the smallest five digit number, then the remainder is
A.9000
B.9001
C.90001
D.9009
Answer: B.9001
Explanation: Sol.
Required number = (10000 - 999) = 9001.
Answer B
Question: The average weight of a group of boys is 30 kg. After a boy of weight 39 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
A.4
B.8
C.5
D.2
Answer: B.8
Explanation: Let the number off boys in the group originally be x.
Total weight of the boys = 30x
After the boy weighing 39 kg joins the group, total weight of boys = 30x + 39
So 30x + 39 + 31(x + 1) = > x = 8.
Answer: B
Question: P is a prime number. If 6p is between 15 and 95, which of the following T can be a value of 7p + 2?
A.T=15
B.T=79
C.121
D.65
Answer: B.T=79
Explanation: [3,5,7,11,13] are prime numbers that fits this equation 15< 6X <95. Afterwards subtract 2 from all the answer n see if it's divisible by 7. Therefore A and E are out. Leaves out with B C D.
B =11
C =17
D = 9
Only 11 is the set of prime numbers that fit between 15 and 95. Therefore 79 is the answer.B
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his averages by 3.Find his average after 17th inning?
A.19
B.29
C.39
D.49
Answer: C.39
Explanation: let the average after 17th inning =x
Then average after 16th inning=(x-3)
Therefore 16(x-3)+87=17x
Therefore x=39
ANSWER:C
Question: Nine men went to a hotel. 8 of them spent 3 each over their meals and the ninth spent 2 more than the average expenditure of all the nine. The total money spent by all of them was
A.26
B.40
C.29.25
D.27
Answer: C.29.25
Explanation: Let the average expenditure of all the ninte be x
Then, 3 × 8 + x + 2 = 9x
⇒ x = 3.25
∴ Total money spent = 9x = 9 × 3.25 = 29.25
Answer C
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
A.2.86
B.2.88
C.2.89
D.2.834
Answer: B.2.88
Explanation: M = 6
S = 1.2
DS = 6 + 1.2 = 7.2
US = 6 - 1.2 = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
Answer: B
Question: The population of a town is 45000; 5/9th of them are males and the rest females 40% of the males are married. What is the percentage of married females?
A.56%
B.50%
C.57%
D.10%
Answer: B.50%
Explanation: Male = 45,000* 5/9 = 25,000
Female = 45,000* 4/9 = 20,000
Married Male = 25,000* 40/100 = 10,000
Married Female = 10,000
20,000 ------------ 10,000
100 ------------- ? => 50%
Answer: B
Question: Halle, Julia and Drew have 5 donuts to share. If one of them can be given any whole number of donuts from 0 to 5, in how many different ways can the donuts be distributed.
A.20
B.21
C.22
D.23
Answer: B.21
Explanation: these are the no of ways:
0 2 3 - 3! ways
2 2 1 - 3!/2 ways
5 0 0 - 3!/2 ways
4 1 0 - 3! ways
1 1 3 - 3!/2 ways
So total no of ways = 21
ANS:B
Question: In expressing a length 810472 km as nearly as possible with three significant digits, find the percentage error.
A.0.034
B.0.024
C.0.352
D.0.063
Answer: A.0.034
Explanation: Error = (81.5 – 81.472)km = 0.028.
Required percentage = [(0.028/81.472)*100]% = 0.034%.
Answer A.
Question: If there are eight varieties of ice cream to be tasted and judged in a competition, what is the probability that black currant is tasted before Vanilla and Vanilla is tasted before chocolate, although not necessarily consecutively?
A.1/8!
B.3!/8!
C.5!/8!
D.1/3!
Answer: D.1/3!
Explanation: 8 flavors are too much. Lets try out only 3 flavors --> Black Currant, Vanilla, Chocalate
We can get Black Currant before Vanilla and Vanilla before Chocolate in only 1 way.
Probability = Possible/Total = 1/3!
Now lets consider 4 flavors --> BC, Van, Choc and X
Possibilities --> 1) BC, X, Van, Choc
2) X, BC, Van, Choc
3) BC, Van, Choc, X
4) BC, Van, X, Choc
Probability = 4/24 = 1/3!
Since the probability remains the same for both the cases, the probability will mostly remain true for the 8 varieties too.
Answer: D
Question: A picnic attracts 200 persons. There are 20 more men than women, and 20 more adults than children. How many men are at this picnic?
A.240
B.65
C.110
D.130
Answer: B.65
Explanation: Adult + Children = 200
Let, Children = y
then, Adult = y+20
i.e. y+(y+20) = 200
i.e. y = 900
i.e. Adult = 90+20 = 110
Adults include only Men and Women
i.e. Men + Women = 110
Let women, W = x
then Men, M = x+20
i.e. x+(x+20) = 2x+20 = 110
i.e. x = 45
i.e. Men, M = 45+20 = 65
Answer: Option B
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 6 m wide at the top and 4 m wide at the bottom and the area of cross-section is 10290 sq m, the depth of cannel is?
A.258
B.260
C.262
D.264
Answer: A.258
Explanation: 1/2 * d (6+4)
= 10290
d = 258
Answer: A
Question: How many four-digit numbers that do not contain the digits 2, 3, 4, or 6 are there?
A.1025
B.1080
C.2096
D.3040
Answer: B.1080
Explanation: The 1st digit can be filled up by the numbers: {1,5,7,8,9} = 5 ways
The 2nd digit can be filled up by the numbers: {0,1,5,7,8,9} = 6 ways
The 3rd digit can be filled up by the numbers: {0,1,5,7,8,9} = 6 ways
The 4th digit can be filled up by the numbers: {0,1,5,7,8,9} = 6 ways
The total number of such four-digit numbers is 6*7*7*7 = 1080
The answer is B.
Question: John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
A.3 1/5 Km
B.3 2/5 Km
C.3 3/5 Km
D.3 5/7 Km
Answer: A.3 1/5 Km
Explanation: Formula = S1*S2/S2-S1 * T1+T2/60
= 4*6/2 * 16/6
= 24/2 * 16/60
= 8 * 2/5
= 16/5 = 3 1/5 Km
A)
Question: Calculate the average of first 16 even numbers is?
A.16
B.15
C.12
D.17
Answer: D.17
Explanation: Explanation:
Sum of 10 even numbers = 16 * 17 = 272
Average = 272/16 = 17
Answer: Option D
Question: A square and an equilateral triangle have the same perimeter. What is the ratio of the area of the circle circumscribing the square to the area of the circle inscribed in the triangle?
A.9:8
B.15:8
C.27:8
D.8:9
Answer: C.27:8
Explanation: let x be side of square
perimeter of square=4x=perimeter of triangle=3*side of triangle
so side of eq. triangle=(4/3)*x
diameter of circle circumscribing the square=sqrt(2)*x
area of circle circumscribing the square=pi*(sqrt(2)*x)^2/4=(pi/2)*x^2 ----(1)
to find radius of the circle inscribed in the triangle
area of triangle=r*s=sqrt(3)/4 * (4x/3)^2
now s=(4/3)*x+(4/3)*x+(4/3)*x/2=2x
so sqrt(3)/4 * (4x/3)^2=r*2x gives
r={2/3*(3^1/2)}*x
area of the circle inscribed in the triangle=pi*[{2/3*(3^1/2)}*x]^2
=pi*(4/27)*x^2 -------(2)
so reqd ratio= eqn(1)/eqn(2)
=[(pi/2)*x^2]/[pi*(4/27)*x^2]=27/8
so reqd ratio=27:8
ANSWER:C
Question: A paper is in a square form whose one side is 20 cm. Two semi circles are drawn on its opposites as diameters. If these semi circles are cut down what is the area of the remaining paper?
A.8.79
B.8.77
C.8.75
D.8.72
Answer: C.8.75
Explanation: (5 * 3.5)/2 = 8.75
Answer: C
Question: A train 660 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
A.640
B.277
C.500
D.297
Answer: A.640
Explanation: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (660 + x)/60 = 65/3
x = 640 m.
Answer: A
Question: Arjun and Bhishma are running on a circular track of length 600m. Speed of Arjun is 30 m/s and that of Bhishma is 20 m/s .They start fro the same point at the same time in the same direction. When will they meet again for the first time?
A.22
B.60
C.27
D.21
Answer: B.60
Explanation: Actually Arjun has to make a lead of 600 m, because when Arjun will be 600m ahead of Bhishma, they will be together again as a person when completes the total length it starts retracing he same path and thus Arjun and Bhishma can be together again.
Since , they make a difference of 10 m in 1 second. so, he will create 600m difference in 60 second.
ANSWER=B
Question: "A" and "B" run around a circular track starting from the same point simultaneously in the same direction. "A" meets "B" for the first time when "A" is exactly in the middle of his 5th round. If "A" is faster than "B" and take 70 seconds to complete 1 lap, how long will B take to complete 1 lap?
A.90 seconds
B.54.44 seconds
C.110 seconds
D.63 seconds
Answer: A.90 seconds
Explanation: A is faster than B. Every second he increases distance between A and B. They will meet for the first time again when he increases distance between them by one full circle. (Say the lap is of 100m. He keeps increasing distance between them. When he is 90 m ahead of him, it is the same as 10 m behind him because they are moving in a circle. Finally when he is 100 m ahead of him, he is exactly 1 lap ahead and hence both are at the same point).
A takes 70 secs for one full lap. So he covers 4.5 laps in exactly 70*4.5 = 315 seconds.
In 315 secs, B completes 3.5 laps. So for each lap, he takes 315/3.5 = 90 secs
Answer (A)
Question: a man can row 16 kmph in still water.it takes him thrice as long to row up as to row down the river.find the rate of stream
A.8 km/hr.
B.6 km/hr.
C.9 km/hr.
D.15 km/hr.
Answer: A.8 km/hr.
Explanation: Let manâ€™s rate upstream be x kmph.then ,his rate downstream=3xkmph.
So,2x=16 or x=8.
Rate upstream=8 km/hr,rate downstream=24 km/hr.
Hence,rate of stream=1/2(24-8)km/hr=8 km/hr.
Answer is A.
Question: If 7a = 2b = 15, then 42ab =
A.75
B.125
C.675
D.1100
Answer: C.675
Explanation: 7a * 2b = 15 * 15 = 225
14 ab = 225
i.e. 42 ab = 675
Answer: Option C