RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A 10-by-5 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the lateral surface, which of the following must be true of the two possible cylinders that can be formed?
A.The volume of the cylinder with height 10 is 50/pi cubic inches greater than the volume of the cylinder with height 6.
B.The volume of the cylinder with height 5 is 50/pi cubic inches greater than the volume of the cylinder with height 10.
C.The volume of the cylinder with height 10 is 50pi cubic inches greater than the volume of the cylinder with height 6.
D.The volume of the cylinder with height 5 is 50pi cubic inches greater than the volume of the cylinder with height 10.
Answer: B.The volume of the cylinder with height 5 is 50/pi cubic inches greater than the volume of the cylinder with height 10.
Explanation: Pretty straightforward. Plug in the values to compute the volume of the cylinder. Keep in mind 5 and 10 are the circumference of the base and not the radius. B is the right answer.
Question: A BUS is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the BUS ?
A.metres
B.metres
C.metres
D.metres
Answer: C.metres
Explanation: Explanation:
Speed of the BUS, v = 40 km/hr = 40000/3600 m/s = 400/36 m/s
Time taken to cross, t = 18 s
Distance Covered, d = vt = (400/36)× 18 = 200 m
Distance covered is equal to the length of the BUS= 200 m
Answer: Option C
Question: The average age of the mother and her six children is 8 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother?
A.38
B.41
C.42
D.43
Answer: A.38
Explanation: Total age of mother and 6 children = avg x n = 8 x (6+1)= 56
If mother is excluded new average is (8 - 5) = 3
so for 6 children = 6 x 3 =18
so mother's age is 56 - 18 =38
Answer: Option A
Question: If a and b are positive real numbers, and a^3 + b^3 = 25, then the greatest possible value of a is between:
A.0 and 3
B.3 and 4
C.4 and 5
D.5 and 7
Answer: A.0 and 3
Explanation: If a > 3, then a^3 + b^3 > 25.
The answer is A.
Question: The “length of integer x” refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 1,080?
A.13
B.10
C.9
D.7
Answer: B.10
Explanation: To maximize the length of z we should minimize its prime base. The smallest prime is 2 and since 2^10=1,024<1,080 then the greatest possible length of integer z is 10.
Answer: B.
Question: How many distinct integer values of n satisfy the inequality||n-3| + 2| ≤ 12?
A.15
B.16
C.12
D.18
Answer: C.12
Explanation: so i can write this as In-3I+2<=12
or In-3I<=10
so n can have -7 to 13 = 12 true values....
C
Question: How is 2% expressed as a decimal fraction?
A.0.2
B.0.02
C.0.002
D.0.0002
Answer: B.0.02
Explanation: 2/100= 0.02
ANSWER:B
Question: There are 1200 jelly beans divided between two jars, Jar X and Jar Y. If there are 400 fewer jelly beans in jar X than three times the number of beans in jar Y, how many beans are in jar X?
A.650
B.700
C.750
D.800
Answer: D.800
Explanation: X+Y=1200 so Y=1200-X
X=3Y-400
X=3(1200-X)-400
4X=3200
X=800
The answer is D.
Question: f n = 3^4 - 2^4, which of the following is NOT a factor of n?
A.13
B.22
C.65
D.169
Answer: B.22
Explanation: ( 3^2+2^2)(3^2-2^2) = 13*5*1 . 13 and 5 prime number and factor any thing not having 13 and 5 as factor will not be a factor.
B
Question: The banker's discount on a bill due 4 months hence at 15% is $6.20. The true discount is:
A.$5.90
B.$6.80
C.$6.60
D.$6.70
Answer: A.$5.90
Explanation: T.D.	=	B.D. x 100/100 + (R x T)
= $ [6.20 x 100/100 +15 x 1/3]
= $	[6.20 x 100/105]
= $ 5.90
ANSWER:A
Question: Find the area of the quadrilateral of one of its diagonals is 10 cm and its off sets 7 cm and 3 cm?
A.50 cm2
B.100 cm2
C.150 cm2
D.200 cm2
Answer: A.50 cm2
Explanation: 1/2 * 10(7 + 3)
= 50 cm2
Answer: A
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is :
A.Rs. 5400
B.Rs. 700
C.Rs. 8400
D.2Rs. 9600
Answer: C.Rs. 8400
Explanation: Explanation:
Ratio of their shares = 22500 : 35000 = 9 : 14.
Deepak's share = Rs.
(13800âˆ—14/23)
= Rs. 8400.
ANSWER IS C
Question: Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?
A.2 days
B.3 days
C.1 days
D.5 days
Answer: B.3 days
Explanation: B
3 days
12/ (2 * 2) = 3 days
Question: Find the value of x: 2x² + 9x − 5.
A.1/2
B.1/3
C.2/3
D.2/5
Answer: A.1/2
Explanation: That quadratic is factored as follows:
2x² + 9x − 5 = (2x − 1)(x + 5).
Lesson 17.
Now, it is easy to see that the second factor will be 0 when x = −5.
As for the value of x that will make
2x − 1	=	0,
we must solve that little equation. (Lesson 9.)
We have:
2x	=	1
x	=	1
2
The solutions are:
x	=	1/2 or −5
A
Question: Ram's age and Shyam's age are in the ratio 3:4. Seven years ago the ratio of their ages was 2:3. Find the ratio of their ages five years hence?
A.26/73
B.26/39
C.26/93
D.26/33
Answer: D.26/33
Explanation: Let ages of Ramu and Shyam be x and y respectively.
x/y = 3/4 => x = 3/4 y
(x- 7)/(y - 7) = 2/3
=> 3x - 21 = 2y - 14 => 3x = 2y + 7
But x = 3/4 y
3 * 3/4 y = 2y + 7
9y = 8y + 28 => y = 28years
=> x = 21 years
Ratio of their ages five years hence, (21 + 5)/(28 + 5) = 26/33.
Answer: D
Question: A salesman`s commission is 5% on all sales upto Rs.10,000 and 4% on all sales exceeding this.He remits Rs.31,100 to his parent company after deducing his commission . Find the total sales.
A.32500
B.33400
C.44000
D.40000
Answer: A.32500
Explanation: Let his total sales be Rs.x.Now(Total sales) – (Commission )=Rs.31,100
x-[(5% of 10000 + 4% of (x-10000)]=31,100
x-[((5/100)*10000 + (4/100)*(x-10000)]=31,100
x-500-((x-10000)/25)=31,100
x-(x/25)=31200  24x/25=31200x=[(31200*25)/24)=32,500.
Total sales=Rs.32,500
ANSWER A
Question: What is the remainder when 263251 is divided by 9?
A.8
B.3
C.6
D.1
Answer: D.1
Explanation: If the sum of the digits of a number is divisible by 9, the number will be divisible by 9.
2 + 6 + 3 + 2 + 5 + 1 = 19
The nearest multiple of 9 is 18.
19 - 18 = 1.
ANSWER:D
Question: A set of numbers has the property that for any number x in the set, x+4 is also in the set. If -4 is in the set, which of the following must also be in the set
1. 0
2. -8
3. 8
A.1 only
B.2 only
C.1 and 2 only
D.2 and 3 only
Answer: C.1 and 2 only
Explanation: If X is in the set than X+ 4 is also in the set
If -4 in the set than
-4+4= 0 is also in the set
Since + 4 is Present, 4 + 4= 8 Is also present in the set .
Therefore Ans C
Question: A began business with Rs.45000 and was joined afterwards by B with Rs.5400. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
A.7
B.8
C.9
D.6
Answer: A.7
Explanation: 45*12 : 54*x = 2: 1
x = 5
12 -5 = 7.Answer: A
Question: If 40% of a number is greater than 80% of 5 by 2, what is the number?
A.3
B.15
C.20
D.2
Answer: B.15
Explanation: Explanation:
40/100 * x - 80/100 * 5 = 2
40/100 * x - 4 = 2
40/100 * x = 6
x = 6 * 100 / 40
x = 15
Answer: Option B
Question: If a coin is flipped, the probability that the coin will land tails is 1/2. If the coin is flipped 5 times, what is the probability that it will land tails up on the first 2 flips and not on the last 3 flips?
A.3/5
B.1/32
C.1/5
D.1/4
Answer: B.1/32
Explanation: (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1/32 Answer: B
Question: If a is a positive integer then 4^(2a) + (64^a)/(2^(2a)) =
A.0
B.16^16
C.8^15
D.2 × 16^a
Answer: D.2 × 16^a
Explanation: 4^(2a) + 64^a/ 2^(2a) = 16^a + 36^a/4^a = 16^a + (64/4)^a = 16^a + 16^a = 2 × 16^a
Answer : D
Question: There are 5 locks and 5 keys and each of the 5 keys matches each of the 5 locks. What is the minimum and the maximum trial numbers of attempts needed to confirm that each of the 5 keys matches each of the 5 locks?
A.5,15
B.4,15
C.5,10
D.4,10
Answer: D.4,10
Explanation: the actual number of tries that we need to "unlock" all the lockers, and got into the trap 5-15.
of course, if we do not need to unlock the lockers, but just simply to check..
minimum # of attempts is 4.
maximum is 10,
ANS:D
Question: In the set of positive integers from 1 to 60, what is the sum of all the odd multiples of 5?
A.180
B.185
C.190
D.160
Answer: A.180
Explanation: 1 - 60
5 - 15 - 25 - 35 - 45 are valid multiples of 5. Add them
5+15+25+35+45+55 =180
A
Question: If the difference between the length and breadth of a rectangle is 23 m and its perimeter is 206 m, what is its area?
A.2520
B.2510
C.2525
D.2025
Answer: A.2520
Explanation: l-b=23...(1)
perimeter = 206
2(l=b)= 206
l+b = 103...(2)
(1)+(2)
2l=23+103=126
l =126/2=63 metre
Substituting the value of l in (1), we get
63-b=23
b=63-23=40 metre
area=lb=63Ã—40 =2520 m2
ANSWER:A
Question: The sum of five numbers is 750. The average of the first two numbers is 75 and the third number is 130. Find the average of the two numbers?
A.220
B.225
C.230
D.235
Answer: D.235
Explanation: Let the five numbers be P, Q, R, S and T.
=> P + Q + R + S + T = 750.
(P + Q)/2 = 75 and R = 130
P + Q = 150 and R = 130
P + Q + R = 280
S + T = 750 - (P + Q + R) = 470
Average of the last two numbers
= (S + T)/2 = 235
Answer:D
Question: The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is?
A.4389
B.8369
C.4320
D.4356
Answer: C.4320
Explanation: x Not younger_______ ↑
The last ball can be thrown by any of the remaining 6 players. The first 6 players can throw the ball in ⁶P₆ ways.
The required number of ways = 6(6!) = 4320
Answer:C
Question: A number x is mistakenly divided by 10 instead of being multiplied by 10. what is the percentage error in the result?
A.-99%
B.-100%
C.+99%
D.+100%
Answer: A.-99%
Explanation: Solution: Actual result = 10x
By mistake it has been divided by 10 = x /10
% change = [10x -(10 /x) /10x] *100 = 99
= - 99%.
Since, actual value is greater than the wrong value.
Alternatively,
Let, x = 10
Actual result = 10 * 10 = 100
wrong result = 10 /10 = 1.
Change = (1 -100) = -99
% change = -99%.
Answer: Option A
Question: A man buys an item at Rs. 1200 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. 960
Answer: D.Rs. 960
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 1200
= 80/100 * 1200
= 960
Answer: D
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is?
A.1/7
B.1/9
C.1/5
D.1/8
Answer: C.1/5
Explanation: 10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!
Required probability = 1/5
Answer: C
Question: An automobile parts supplier charges $25 per package of gaskets. When a customer orders more than 10 packages of gaskets, the supplier charges 4/5 the price for each package in excess of 10. During a certain week, the supplier sold 60 packages of gaskets. If 25 percent of the gaskets went to Company X, 15 percent to Company Y, and the rest to Company Z, what was the total amount, in dollars, that the parts supplier received in payment for the gaskets?
A.1305
B.1545
C.1375
D.1345
Answer: D.1345
Explanation: $25 per packet of gasket in case a customer orders less than 10
in case a customer orders > 10 price per gasket = 25*4/5=20
a certain week the supplier sold 60 gasket
1.he sold 25 % of the gaskets to X = 15 gaskets = 25*10 + 20 *5 = 250 + 100 = 350
2.he sold 15 % of the gaskets to Y = 9 gaskets = 25*9= 225
3.he sold remaining 60% to z =36 gaskets = 25*10 =250 + 20*26=770
thus ,total money earned
350+225+770 = 1345
Answer is D
Question: Cost is expressed by the formula tb^4. If b is doubled, the new cost is what percent T of the original cost?
A.T=200
B.T=600
C.T=800
D.T=1600
Answer: D.T=1600
Explanation: Original Cost C1=t1*b1^4
New Cost C2=t2*b2^4....only b is doubled so t2=t1 and b2=2b1
C2=t2*(2b1)^4
=16(t1 * b1^4)
=16C1
16 times C1=>1600% of C1
Ans D=1600
Question: Find the value of 72519 x 9999 = m?
A.234567745
B.674225565
C.570909643
D.725117481
Answer: D.725117481
Explanation: 72519 x 9999 = 72519 x (10000 - 1)
= 72519 x 10000 - 72519 x 1
= 725190000 - 72519
= 725117481
D
Question: In how many ways can a group of 4 men and 2 women be made out of a total of 6 men and 4 women?
A.63
B.67
C.70
D.90
Answer: D.90
Explanation: We need to select 4 men from 6 men and 2 women from 4 women. Number of ways to do this= 6C4 × 4C290D)
Question: What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, x
A.29
B.31
C.23
D.35
Answer: D.35
Explanation: (D)
The pattern is + 3, + 5, + 3, + 5, …………
So the missing term is = 30 + 5 = 35.
Question: what is the angle between the hands of a clock when time is 10:20?
A.90deg
B.75deg
C.45deg
D.15deg
Answer: A.90deg
Explanation: Angle between two hands =
20h - 11/2 m = 20*10 - 20*11/2 = 200 - 110 = 90deg
ANSWER:A
Question: Two hoses are pouring water into an empty pool. Hose 1 alone would fill up the pool in 6 hours. Hose 2 alone would fill up the pool in 5 hours. How long would it take for both hoses to fill up two-thirds of the pool?
A.5/12 hours
B.5/8 hours
C.20/11 hours
D.12/7 hours
Answer: C.20/11 hours
Explanation: Hose 1 would fill the pool alone in 6 hours
i.e. 1 Hour work of Hose 1 = 1/6
Hose 2 would fill the pool alone in 5 hours
i.e. 1 Hour work of Hose 2 = 1/5
i.e. 1 Hour work of Hose1 and Hose2 together = (1/6)+(1/5) = (11/30)
i.e. (11/30) work can be finished by Hose1 and Hose2 together in 1 hour
i.e. (2/3) work can be finished by Hose1 and Hose2 together in 1*(30/11)*(2/3) = 20/11hour
Answer: Option C
Question: The difference between the simple interest and the compound interest (compounded yearly)earned on a sum of money at the end of four years at the rate of 10 percent per annum is Rs.256.40. Find the sum.
A.Rs.6,000
B.Rs.4,000
C.Rs.5,000
D.Rs.4500
Answer: B.Rs.4,000
Explanation: SI=(P*10*4)/100= 4p/10
CI=P(1+10/100)^4-P =4641P/100
CI-SI=
4641P/100-4P/100=256.40
P=4000
ANSWER:B
Question: The cash realised on selling a 14% stock is Rs.105.25, brokerage being 1/4% is?
A.366
B.106
C.102
D.105
Answer: D.105
Explanation: Cash realised= Rs. (105.25 - 0.25)
= Rs. 106.
Answer: D
Question: Tom began driving from home on a trip averaging 30 miles per hour. How many miles per hour must Carla drive on average to catch up to him in exactly 3 hours if she leaves 30 minutes after Tom?
A.35
B.55
C.39
D.40
Answer: A.35
Explanation: Carla starts 30 minutes later and it takes 3 hr for carla to meet Tom
So Tom total time travelled = 3hr + 30 minutes
Tom distance = 30 * (3 1/2) = 105
so carla need to travle 105 to meet Tom in 3 hrs
speed of carla = 105/3 = 35 miles per hour
Answer is A
Question: The simple interest on Rs.12000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for five years at the same rate of interest?
A.3052.83
B.3052.22
C.3052.08
D.3052.8
Answer: D.3052.8
Explanation: R = 100 I / PT
=> R = (100 * 7200)/ (12000 * 5) = 12%
CI = P{ [1 + R /100]n - 1}
= 12000 { [ 1 + 12 / 100]2 - 1}
= Rs.3052.80
Answer: D
Question: The smallest number which when added to 4, the sum is exactly divisible by 24, 36, 48 and 60 is:
A.327
B.716
C.256
D.299
Answer: B.716
Explanation: nation: 2 24 36 48 60 2 12 18 24 30 3 6 9 12 15 2 2 3 4 5 1 3 2 5 ∴ LCM of 24, 36, 48, 60 = 2 × 2 × 3 × 2 × 3 × 2 × 5 = 720. ∴ Required number = 716
Answer:B
Question: The sum of the first 50 positive even integers is 2550. What is the sum R of even integers from 102 to 200 inclusive?
A.5100
B.7550
C.10100
D.15500
Answer: B.7550
Explanation: My solution is:
First 50 even integers:
2
4
6
8
<...>
Integers from 102 to 200
102
104
106
108
<...>
We notice that each integer from the second set is 100 more than the respective integer in the first set. Since we have 50 even integers from 102 to 200, then:
R=2550+(100*50)=7550.B
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 26 sec respectively. What is the speed of the train?
A.89
B.23
C.52.8
D.79.2
Answer: C.52.8
Explanation: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 8 => x = 8y
(x + 264)/26 = y
y = 14.67
Speed = 14.67 m/sec = 14.67 * 18/5 = 52.8 km/hr.
Answer: Option C
Question: If Susan takes 10 seconds to run y yards, how many minutes will it take her to run x yards at the same rate?
A.xy/10
B.10x/(60y)
C.60xy/10
D.xy/540
Answer: B.10x/(60y)
Explanation: The answer is B.
She runs x yards in 10x/y seconds =10x/60y minutes.
Question: For how many values of M, is |||M - 5| -10| -5| = 2?
(Those ls are mods)
A. 0
B. 2
C. 4
D. 8
Answer: D. 8
Explanation: I think its 8
|||M-5|-10|-5| =2
let |M-5| = a which makes above
||a-10|-5| =2
let |a-10| = b which makes
|b-5| = 2
now for the above b can take 3, 7
for every b =3 a can have 13, 7
and for b = 7 a can have 17 and 3
so 'a' has four solutions 13, 7, 17 and 3
for a = 13; x has 18 or -8 thus has 2 for every combination hence 4x2 = 8
answer D
Question: Rakesh travelled 1800 kilometre by air which formed 3/5 of the total journey. He travels 1/4 of the trip by car and the remaining trip by train. Find the distance travelled by train.
A.350
B.450
C.550
D.650
Answer: B.450
Explanation: Explanation :
3/5 of D = 1800. So D = 3000 km,
so distance travelled by train = 3000 – 1800 – 1/4 of 3000 = 450
Answer – B
Question: If a(a - 6) = 27 and b(b - 6) = 27, where a ≠ b, then a + b =
A. −48
B. −2
C. 6
D. 46
Answer: C. 6
Explanation: i.e. if a =-3 then b = 9
or if a = 9 then b =-3
But in each case a+b = -3+9 = 6
Answer: option C
Question: The average age of the mother and her six children is 12 years which is reduced by 5 years if the age
of the mother is excluded. How old is the mother
A.40
B.41
C.42
D.43
Answer: C.42
Explanation: Answer: Option C
Question: At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 34 years. What is the age of Deepak at present?
A.77 years
B.15 years
C.21 years
D.88 years
Answer: C.21 years
Explanation: Let the present ages of Arun and Deepak be 4x and 3x years respectively.
Then, 4x + 6 = 34 => x = 7
Deepak's age = 3x = 21 years.
Answer: C
Question: Audrey 4 hours to complete a certain job. Ferris can do the same job in 3hours. Audrey and Ferris decided to collaborate on the job, working at their respective rates. While Audrey worked continuously, Ferris took 2 breaks of equal length. If the two completed the job together in 2 hours, how many minutes long was each of Ferris’ breaks ?
A.5
B.15
C.17
D.20
Answer: B.15
Explanation: Audery and Ferris collective Work rate:
1/4 + 1/3 = 7/12
Collective work Time = 12/7 = 1.7 Hrs
Job Was actually done in = 2 (Includes breaks)
Breaks = Actual time taken - Collective work time
= 2 - 1.7
= .3 Hrs = 1/2
so ferrais took 2 breaks
=.3/2=.15 hrs = 15 m
so Answer is B) 15 mins
Question: Write 860,000,000,000 in scientific notation.
A.8.6 * 10^11
B.800.900 * 10^11
C.8.900 * 10^11
D.80.9000* 10^11
Answer: A.8.6 * 10^11
Explanation: a * 10 n , where a is a real number such that 1 * |a| < 10 and n is an integer.
860,000,000,000 = 8.6* 100,000,000,000 = 8.6 * 10 11**
correct answer A
Question: A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 40%?
A.700
B.882
C.772
D.652
Answer: A.700
Explanation: Cost price = Rs.500
profit = 40% of 500 = Rs.200
Selling price = Cost price + Profit
= 500 + 200 = 700
Answer:A
Question: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.170. Find the unknown rate of two towels?
A.A)400
B.B)650
C.C)500
D.D)550
Answer: B.B)650
Explanation: 10 * 170 = 1700
3 * 100 + 5 * 150 = 1050
1700 – 1050 = 650
B
Question: The simple interest on Rs.12000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for five years at the same rate of interest.
A.3052.89
B.3052.86
C.3092.8
D.3052.8
Answer: D.3052.8
Explanation: R = 100 I / PT
=> R = (100 * 7200)/ (12000 * 5) = 12%
CI = P{ [1 + R /100]n - 1}
= 12000 { [ 1 + 12 / 100]2 - 1} = Rs.3052.80.Answer: D
Question: If the radius of a circle is increased by 12%, then the area of the circle
A.decreases by 25.44%
B.increases by 25.44%
C.no change in area
D.decreases by 12%
Answer: B.increases by 25.44%
Explanation: A1=pi(100)^2
A2=pi(112)^2
so (A2-A1)/A1*100=25.44
ANSWER:B
Question: A certain car can travel 40 minutes on a gallon of gasoline at 60 miles per hour. If the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 120 miles at 60 mph?
A.15%
B.20%
C.27.27%
D.30%
Answer: C.27.27%
Explanation: Let, Tank capacity = T gallon
Used Fuel = (T-8) gallons
Distance Travelled (@60 miles/hr) = 80 miles
Distance travelled in 1 gallon = Distance travelled in 40 mins (@60 miles/hr) = (60/60)*40 = 40 miles
Fuel used to travel 120 miles = (120/40) = 3 gallon
i.e. Used fuel = (T-8) = 3 gallon
i.e. T = 10 Gallons
i.e. Used Fuel = (3/11)*100 =27,27%
C
Question: Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
A.65 sec
B.12 sec
C.77 sec
D.44 sec
Answer: B.12 sec
Explanation: Speed of the first train = 120/10 = 12 m/sec.
Speed of the second train = 120/5 = 8 m/sec.
Relative speed = 12 + 8 = 20 m/sec.
Required time = (120 + 120)/20 = 12 sec.
Answer: B
Question: John and Tony began business with Rs.12000 and Rs.14000 after 8 months, John withdraws Rs.2000 and Tony withdraws Rs.4000. At the end of the year, their profits amounted to Rs.4500 find the share of Tony.
A.2375
B.2325
C.2300
D.3375
Answer: A.2375
Explanation: (12*8 + 10*4):(14*8 + 10*4)
17:19
19/36 * 4500 = 2375. Answer: A
Question: A completes a work in 3 days and B complete the same work in 6 days. If both of them work together, then the number of days required to complete the work will be?
A.2 days
B.11 days
C.21 days
D.22 days
Answer: A.2 days
Explanation: If A can complete a work in x days and B can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days
Therefore, here, the required number of days = 3 Ã— 6/ 9 = 2 days.
Option 'A'
Question: The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member?
A.40
B.50
C.60
D.70
Answer: A.40
Explanation: Let the members be Old Having age O + other 9 having ages x and New one having age Y
Sum of their ages = (Y + 9 × x) and average = (Y + 9 × x)/10
Before 4 years sum was (O + 9 x – 10 × 4) and average = (O + 9 x – 10 × 4) /10
equating, Y + 9 x = O + 9x – 40
Y = O – 40
Younger is 40 years younger than Old one.
ANSWER:A
Question: By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
A.8
B.7
C.6
D.5
Answer: A.8
Explanation: Explanation:
80% --- 12
120% --- ?
80/120 * 12 = 8
Answer: A
Question: To asphalt 1km road, 30 men spent 12 days working 8 hours per day. How many days, 20 men will spend to asphalt a road of 2km working 10 hours a day?
A.28.8
B.30
C.32
D.34
Answer: A.28.8
Explanation: Man-hours required to asphalt 1 km road=30*12*8=2880
Man-hours required to asphalt 2 km road=2880*2=5760
Man-hours available per day=20*10=200
Therefore number of days=5760/200=28.8 days
Ans=A
Question: Kiran is younger than Bineesh by 7 years and their ages are in the respective ratio of 7:9. How old is Kiran?
A.22.5
B.24.5
C.23.5
D.25.5
Answer: B.24.5
Explanation: Let age of Kiran and Bineesh be 7x and 9x respectively
7x=9x−7x=72=3.5
Kiran's age =7x=7×3.5=24.5
Answer is B.