RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: 108.	Triangle A’s base is 8% greater than the base of triangle B, and A’s height is 8% less than the height of triangle B. The area of triangle A is what percent less or more than the area of triangle B?
A. 9 % less
B. 1 % less
C. Equal to each other
D. 1.6 % more
Answer: D. 1.6 % more
Explanation: Wish the question specified that we are talking about corresponding height.
Base of A = 9/8 * Base of B
Height of A = 7/8 * Height of B
Area of A = (1/2) * Base of A * Height of A = 9/8 * 7/8 * Area of B = 63/64 * Area of B
Area of A is 1.6% more than the area of B.
Answer (D)
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 2 different boat to go and 8 flight to return. In how many ways, can the boy perform his journey?
A.20
B.16
C.45
D.18
Answer: B.16
Explanation: Ans.(B)
Sol. Number of choices to go by ship = 2 Number of choices to return by airline = 8 From, fundamental principle, total number of ways of performing the journey = 2 x 8 = 16 ways
Question: The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
A.40.00 a.m.
B.10.00 a.m.
C.12.00 a.m.
D.18.00 a.m.
Answer: B.10.00 a.m.
Explanation: Explanation:
D = 110 – 20 = 90
RS = 20 + 25 = 45
T = 90/45 = 2 hours
8 a.m. + 2 = 10 a.m.
Answer: Option B
Question: P and Q invested in a business. The profit earned was divided in the ratio 3 : 4. If P invested Rs 50000, the amount invested by Q is
A.30000
B.66666
C.40000
D.20000
Answer: B.66666
Explanation: Let the amount invested by Q = q
50000:q=3:4
⇒50000×4=3q
⇒q=(50000×4)/3=66666
Answer is B.
Question: Joe bought a lawnmower for a 40% off the original price. If the lawnmower cost him $132.48, what is the original selling price of the lawnmower?
A.$185.47
B.$331.20
C.$211.97
D.$220.80
Answer: D.$220.80
Explanation: Explanation:CP of Joe is 40% of the Original SP.:. Original SP = $132.48x100/60 = $220.80.Answer: Option D.
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
A.10 kmph
B.17 kmph
C.19 kmph
D.17 kmph
Answer: A.10 kmph
Explanation: Speed of the boat in still water
= (60+80)/2
= 70 kmph. Speed of the stream
= (80-60)/2
=10 kmph.
Answer: A
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
A.76 Kmph
B.54 Kmph
C.72 Kmph
D.34 Kmph
Answer: C.72 Kmph
Explanation: Length = Speed * time
Speed = L/T
S = 400/20
S = 20 M/Sec
Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 72 Kmph
Answer: C
Question: If 4 men working 10 hours a day earn Rs. 1200 per week, then 9 men working 6 hours a day will earn how much per week?
A.Rs 840
B.Rs 1320
C.Rs 1620
D.Rs 1680
Answer: C.Rs 1620
Explanation: Explanation :
(Men 4:9) : (Hrs/Day 10:6) :: 1200 : x
hence 4 * 10 *x = 9 * 6 * 1200
or x = 9*6*1200/ 4*10 = 1620
Answer : C
Question: Tanya prepared 4 different letters to be sent to 4 different addresses. For each letter she prepared an envelope with its correct address. If the 4 letters are to be put in 4 envelopes at random, what is the probability that only 1 letter will be put into the envelope with its correct address?
A.1/24
B.1/8
C.1/4
D.1/3
Answer: D.1/3
Explanation: Possible sequences are CIII, ICII, and so on...C=correct, I=incorrect
Total possible sequences are 4P1=4 ways.
Lets take the probability of having one particular sequence CIII.
P = 1/4*2/3*1/2*1 = 1/12.
So the probability of having any of the sequence is 4*1/12 =1/3
ANS:D
Question: If x = 1- 4t and y = 2t - 2, then for what value of t does x = y?
A. 5/2
B. 1/2
C. 2/3
D. 2/5
Answer: B. 1/2
Explanation: We are given x = 1 – 4t and y = 2t – 2, and we need to determine the value for t when x = y. We should notice that both x and y are already in terms of t. Thus, we can substitute 1 – 4t for x and 2t – 2 for y in the equation x = y. This gives us:
1 – 4t = 2t – 2
3 = 6t
1/2 = t
The answer is B.
Question: A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets
A.40%
B.50%
C.60%
D.70%
Answer: B.50%
Explanation: Number of runs made by running = 110 - (3 x 4 + 8 x 6)
= 120 - (60)
= 60
Now, we need to calculate 60 is what percent of 120.
=> 60/120 * 100 = 50%
B
Question: The cost price of 20 articles is equal to the selling price of 25 articles. The loss percent in the transaction is
A.5
B.20
C.25
D.30
Answer: C.25
Explanation: Let C.P. of 1 article = 1
then C.P. of 25 articles = 25
and S.P. of 25 articles = 20
∴ loss % = 25−20/20×100=25%
Answer C
Question: 2664 ÷ 12 ÷ 6 = ?
A.43
B.41
C.37
D.33
Answer: C.37
Explanation: Explanation :
2664 ÷ 12 = 222
222 ÷ 6 = 37. Answer : Option C
Question: How many integers are divisible by 2 between 10! and 10! + 20 inclusive?
A.6
B.7
C.21
D.9
Answer: C.21
Explanation: C = 21
10! is divisible by 2
There are 20 numbers between 10! and 10!+20 that are divisible by 1.
Hence 21
Question: Y and F represent two distinct digits. If the number 45Y89F is divisible by 36, what is the value of (Y+F)?
A.a) 9
B.b) 3
C.c) 12
D.d) 6
Answer: B.b) 3
Explanation: A no. divisible by 36 means it is div by 49 .
to be div by 4 last 2 digits to be multiple of 4 So, F could be either 2 or 6 only
similarly for a number to be div by 9 its sum must be multiple of 9 first. filtering we find Y could be either 1,4,7 only.
To be divisible by 9 only 1 works .(if we choose f=6 then Y have to be 6 but as per condition YF are distinct) So
Y=1
F=2
Ans:- 3.B
Question: A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?
A.4500 M3
B.27000 M3
C.3000 M3
D.2700 M3
Answer: A.4500 M3
Explanation: (3000 * 2 * 5)/60 = 4500 M3
ANSWER:A
Question: What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the 2nd?
A.965
B.1245
C.1349
D.1368
Answer: C.1349
Explanation: First digit is 1/3 second digit => The numbers can be 1 & 3, 2& 6, 3 & 9.
First + second = third => we can eliminate 3 & 9 since 3 + 9 = 12.
Last is 3 times the second => we can eliminate option 2 & 6 since 3 * 6 = 18.
Hence the number is 1349
C
Question: An association of mathematics teachers has 1,260 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 72 percent of the votes cast?
A.75%
B.58%
C.30%
D.34%
Answer: C.30%
Explanation: Total Number of members = 1260
Number of members that cast votes = 525
Since , winning candidate received 72 percent of the votes cast
Number of votes for winning candidate = (72/100)*525 = 378
Percent of total membership that voted for winning candidate = (378/1260)*100 = 30%
Answer C
Question: A financier claims to be lending money at simple interest, But he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes
A.10.25%
B.10%
C.9.25%
D.9%
Answer: A.10.25%
Explanation: Explanation:
Let the sum is 100.
As financier includes interest every six months., then we will calculate SI for 6 months, then again for six months as below:
SI for first Six Months = (100*10*1)/(100*2) = Rs. 5
Important: now sum will become 100+5 = 105
SI for last Six Months = (105*10*1)/(100*2) = Rs. 5.25
So amount at the end of year will be (100+5+5.25)
= 110.25
Effective rate = 110.25 - 100 = 10.25
Option A
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
A.22 kmph
B.77 kmph
C.14 kmph
D.17 kmph
Answer: C.14 kmph
Explanation: The ratio of the times taken is 2:1.
The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1) = 3/1 = 3:1
Speed of the stream = 42/3 = 14 kmph.
Answer:C
Question: A and B started a business investing Rs. 36,000 and Rs. 12,000 respectively. In what ratio the profit earned after 3 years be divided between A and B respectively?
A.1:3
B.1:2
C.2:1
D.3:1
Answer: D.3:1
Explanation: A:B = 36000 : 12000 = 3:1.
ANSWER:D
Question: On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
A.Tuesday
B.Monday
C.Sunday
D.Wednesday
Answer: C.Sunday
Explanation: Sunday
The year 2004 is a leap year and therefore, two days will be preceded from Tuesday
Answer:C
Question: when n divided by 3, the remainder is 2.
when n divided by 4, the remainder is 1
what is the the remainder when divided by 14
A.1
B.3
C.4
D.5
Answer: B.3
Explanation: case1
N=5,8,11,14,17,20
case 2
M=5,9,13,17,21
Therefore n=17
Remainder of 17/14 will be 3
B
Question: If x is an odd negative integer and y is an even integer, which of the following statements must be true? I. (3x + 2y) is positive integer II. xy^2 is positive integer III. (y^2 - x) is positive integer
A.I,II only
B.I only
C.II only
D.III only
Answer: D.III only
Explanation: I. It is true if 3x < 2y
II. It is not true because given x is a negative integer - * + = -
III. It is true
Answer : D
Question: Simplify: 5005-5000+10
A.4505
B.4509
C.4501
D.4508
Answer: A.4505
Explanation: 5005-5000+10
=5005-(5000/10)
=5005-500
=4505.
Answer is A
Question: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
A.1
B.3
C.6
D.8
Answer: C.6
Explanation: Work done by X in 1 day = 1/18
Work done by Y in 1 day = 1/15
Work done by Y in 10 days = 10/15 = 2/3
Remaining work = 1 – 2/3 = 1/3
Number of days in which X can finish the remaining work = (1/3) / (1/18) = 6
C
Question: If $11,000,000 is the initial amount placed in an account that collects 7% annual interest, which of the following compounding rates would produce the largest total amount after two years?
A. compounding annually
B. compounding daily
C. compounding monthly
D. compounding quarterly
Answer: B. compounding daily
Explanation: This will produce the maximum yield as the interest accured each day will be added the very next day to the Principal amount for further computation of interest.
This process will be repeated every day till the amount matures
Answer = B
Question: Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 11/5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
A.11/21
B.14/31
C.7/15
D.17/35
Answer: A.11/21
Explanation: # of basic stereos was 2/3 of total and # of deluxe stereos was 1/3 of total, let's assume total=15, then Basic=10 and Deluxe=5.
Now, if time needed to produce one Deluxe stereo is 1 unit than time needed to produce one Basic stereo would be 11/5 units. Total time for Basic would be 10*1=10 and total time for Deluxe would be 5*11/5=11 --> total time for both of them would be 10+11=21 --> deluxe/total=11/21.
Answer: A.
Question: A batsman makes a score of 84 runs in the 17th inning and thus increases his averages by 3.Find his average after 17th inning?
A.19
B.29
C.36
D.49
Answer: C.36
Explanation: let the average after 17th inning =x
Then average after 16th inning=(x-3)
Therefore 16(x-3)+84=17x
Therefore x=36
ANSWER:C
Question: Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $5 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 18 percent, what is the discount rate on Pony jeans?
A.9%
B.10%
C.34.4%
D.12%
Answer: C.34.4%
Explanation: You know that Fox jeans costs $15, and Pony jeans costs $18, you also know that 3 pairs of Fox jeans and 2 pairs of Pony jeans were purchased. So
3(15) = 45 - Fox
2(18) = 36 - Pony
The total discount discount is $5 and you are asked to find the percent discount of pony jeans,
so 45(18 - X)/100 + 36(X)/100 = 5 or 45*18 -45*x + 36*x =5*100 or 9x = -5*100 +45*18
x= 310/9 =34.4
C
Question: A cycle is bought for Rs.1000 and sold for Rs.2000, find the gain percent?
A.11
B.20
C.100
D.77
Answer: C.100
Explanation: 1000 ---- 1000
100 ---- ? => 100%
Answer: C
Question: If abc = b^3 , which of the following must be true?
I. ac = b^2
II. b = 0
III. ac = 1
A.None
B.I only
C.II only
D.I and III
Answer: A.None
Explanation: abc = b^3 implies abc - b^3 = 0
or b*(ac-b^2)=0
which implies either b=0 or ac=b^2
so, either of them or both of them can be true, but none of them must be true.
Answer A
Question: Jane and Ashley take 13 1/3 days and 40 days respectively to complete a project when they work on it alone. They thought if they worked on the project together, they would take fewer days to complete it. During the period that they were working together, Jane took an eight day leave from work. This led to Jane's working for four extra days on her own to complete the project. How long did it take to finish the project ?
A.10 Days
B.15 Days
C.16 Days
D.17 Days
Answer: D.17 Days
Explanation: Let us assume that the work is laying 40 bricks.
Jane =3 bricks per day
Ashley = 1 brick per day
Together = 4 bricks per day
Let's say first 8 days Ashley works alone,
No of bricks = 8
Last 4 days Jane works alone,
No. of bricks = 12
Remaining bricks = 40 - 20 = 20
So together, they would take 20/4 =5
Total no. of days = 8 + 4 + 5 = 17
Answer is D
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:11. If P invested the money for 5 months, find for how much time did Q invest the money?
A.19
B.17
C.13
D.11
Answer: D.11
Explanation: 7*5: 5*x = 7:11
x = 11
Answer: D
Question: What is the smallest positive integer x, such that 5000x is a perfect cube?
A.4
B.6
C.8
D.25
Answer: D.25
Explanation: Take out the factors of 5000 that will come 10^3*5. for perfect cube you need every no. raise to the power 3. for 5000x to be a perfect cube, you need two 5 that means 25.
D is the answer.
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.5/8
B.5/9
C.5/7
D.5/2
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 4C2 . 4C1 ways.
The required probability = (5 * 4)/9C2 = 20/36 = 5/9
Answer: B
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
A.18 2/15
B.18 2/11
C.18 2/14
D.18 2/16
Answer: B.18 2/11
Explanation: 13 CP = 11 SP
11 --- 2 CP
100 --- ? =>18 2/11%.Answer: B
Question: Which of the following is closer to (5!+4!)-(5!-4!)?
A.48
B.84
C.240
D.420
Answer: A.48
Explanation: 5!+4!)-(5!-4!)=120+24-120+24
= 48
Answer: A
Question: The total number of digits used in numbering the pages of a book having 346 pages is
A.732
B.990
C.1098
D.930
Answer: D.930
Explanation: Total number of digits
= (No. of digits in 1- digit page nos. + No. of digits in 2-digit page nos. + No. of digits in 3- digit page nos.)
= (1 x 9 + 2 x 90 + 3 x 247) = (9 + 180 + 741) = 930.
ANSWER:D
Question: The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @Rs.26.50 per metre is Rs.5300, what is the length of the plot in metres?
A.55
B.60
C.65
D.70
Answer: B.60
Explanation: Length of the fence =530026.50=200 m
⇒ 2(length + breadth)=200 m
⇒ 2(breadth + 20 + breadth)=200 m (∵ length = breadth+20)
⇒ breadth + 20 + breadth =100 m
⇒ breadth =40 m
length =40+20=60 m
Answer is B.
Question: A rich merchant had collected many gold coins. He did not want anybody to know about him. One day, his wife asked, " How many gold coins do we have?" After a brief pause, he replied, "Well! if I divide the coins into two unequal numbers, then 48 times the difference between the two numbers equals the difference between the squares of the two numbers." The wife looked puzzled. Can you help the merchant's wife by finding out how many gold coins the merchant has?
A.96
B.53
C.43
D.None of these
Answer: D.None of these
Explanation: Explanation :
Let the numbers of gold coins = x + y
=> 48(x-y) = x2 - y2.
=> 48(x-y) = (x- y)(x + y).
=> x + y = 48.
Answer : D
Question: How many days are there in x weeks x days
A.14x
B.8x
C.7x^2
D.7
Answer: B.8x
Explanation: Explanation:
x weeks x days =(7×x)+x = 7 x+x=8x days
Answer: Option B
Question: How many two-element subsets of {6,7,8,9} are there that do not contain the pair of elements 8 and 9?
A.5
B.4
C.3
D.6
Answer: A.5
Explanation: Required subsets are = {6,7}, {6,8}, {6,9}, {7,8}, {7,9} = 5
Answer: A
Question: A fast food restaurant sells chicken in orders of 6, 9, and 20.
What is the largest number of pieces of chicken you cannot order from this restaurant?
A.A)23
B.B)33
C.C)43
D.D)53
Answer: C.C)43
Explanation: 43.
After 6 all numbers divisible by 3 can be ordered (because they can all be expressed as a sum of 6's and 9's). After 26, all numbers divisible by three when subtracted by 20 can be obtained. After 46, all numbers divisible by three when subtracted by 40 can be obtained. After 46, all numbers fit into one of these 3 categories, so all numbers can be obtained. 43 is the last number that doesn't fall into one of these categories (44 = 20 + 6 * 4, 45 = 6 * 6 + 9). answer is C
Question: The positive integer b is divisible by 5.
What is the remainder when dividing 3(6+b)(5+b) by 5?
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: When we multiply any of these options: 3*11*10 (b=5) or 3*16*15 (b=10) we end up with numbers ending in 0 which are exactly divisible by 5 leaving no remainder.
Hence answer is A.
Question: A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
A.250
B.288
C.276
D.188
Answer: A.250
Explanation: CP1 = 100 SP1 = 90
CP2 = 80 SP2 = 80 * (140/100) = 112
22 ----- 100
55 ----- ? => Rs.250
Answer: A
Question: Two pipes A,B can fill a tank in 24 min. and 32 min. respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min.?
A.6
B.7
C.8
D.9
Answer: C.8
Explanation: work done by A => 18/24
work done by B => x/32
18/24 + x/32 = 1
3/4 + x/32=1
24+x=32 => x=8
after 8 min b should be closed
ANSWER:C
Question: The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?
A.3% decrease
B.5% decrease
C.9% decrease
D.8% decrease
Answer: C.9% decrease
Explanation: (30 * 30)/100
= 9% decrease
Answer: C
Question: The ratio of three numbers is 1:2:4 and the sum of their squares is 4725. The sum of the numbers is?
A.A)10
B.B)12
C.C)15
D.D)14
Answer: C.C)15
Explanation: Let the numbers be x,2x,4x
then, x^2+4x^2+16x^2 = 4725
21x^2 = 4725
x^2 = 225
x=15
Answer is C
Question: One fourth of a solution that was 10% sugar by weight was replaced with by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent sugar by weight?
A.34%
B.24%
C.22%
D.18%
Answer: A.34%
Explanation: Say the second solution (which was 1/4 th of total) was x% sugar, then 3/4*0.1+1/4*x=1*0.16 --> x=0.34. Alternately you can consider total solution to be 100 liters and in this case you'll have: 75*0.1+25*x=100*0.16 --> x=0.34.
Answer: A.
Question: Tough and Tricky questions: Word Problems.
Mike, Sarah and David decided to club together to buy a present. Each of them gave equal amount of money. Luckily Sarah negotiated a 20% discount for the present so that each of them paid 4 dollars less. How much did they pay for a present?
A.20
B.36
C.48
D.60
Answer: C.48
Explanation: Answer C.
We know that Sarah negotiated a discount of 20%, so each of them paid $4 less. Since there are three people, the 20% of the original price amounts to $12. 5 times 12$ is 60$, so the original price, before Sarah negotiated the discount, had been $60. They paid $12 less than the base price, so they spent $48.
Question: Sudhir started a business with Rs.40,000 and after 8 months Ravi joined him with Rs.60,000. If they get a profit of Rs.28000 then ratio of their shares will be
A.3:2
B.2:1
C.4:3
D.3:4
Answer: B.2:1
Explanation: 40000*12:60000*(12-8)
=480000 :240000
=2:1
ANSWER:B
Question: The area of a triangle is with base 5.5m and height 6m?
A.11 m2
B.16.5 m2
C.18.5 m2
D.19.5 m2
Answer: B.16.5 m2
Explanation: 1/2 * 5.5* 6
= 16.5 m2
Answer: B
Question: From the integer n, if n*n*n is odd, then what is true from below options?
A.n is odd and n*n is even
B.n is odd
C.n is even
D.n*n is even
Answer: A.n is odd and n*n is even
Explanation: n is odd and n*n is even
Option A
Question: Two trains of length 100 meters and 200 meters are 840 meters apart. They are moving towards each other on parallel tracks, at speeds of 54 km/h and 72 km/h. After how many seconds will the trains meet?
A.20
B.22
C.24
D.26
Answer: C.24
Explanation: The speeds are 54000/3600 = 15 m/s and 72000/3600 = 20 m/s
The relative speed is 35 m/s.
time = 840 / 35 = 24 seconds
The answer is C.
Question: How many three-element subsets of {1,2,3,4} are there that do not contain the pair of elements 2 and 4?
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: Required subsets are = {1,2,3}, {1,3,4}= 2
Answer: B
Question: If a(a + 6) = 27 and b(b + 6) = 27, where a ≠ b, then a + b =
A. −48
B. −6
C. 2
D. 46
Answer: B. −6
Explanation: a(a + 6) = 27 and b(b + 6) = 27
=> a, b must be integers and if a is -9 or 3, b will be 3 and -9 respectively
=> a+b = -6
Ans: B
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
A.65 seconds
B.46 seconds
C.40 seconds
D.97 seconds
Answer: C.40 seconds
Explanation: Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec
Total distance = 360+140 = 500 meter
Time = Distance/speed
= 500 * (2/25)
= 40 seconds
Answer:C
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 1 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
A.480
B.120
C.289
D.270
Answer: B.120
Explanation: 1/x - 1/20 = -1/24
x = 120
120 * 1 = 120
Answer: B
Question: A palindrome is a word or a number that reads the same forward and backward. For example, 2442 and 111 are palindromes. If 5-digit palindromes are formed using one or more of the digits 1, 2, 3, 4, and 5, how many palindromes are possible?
A.25
B.75
C.125
D.225
Answer: C.125
Explanation: There are 5 choices for each of the first three digits.
The number of possible palindromes is 5^3=125.
The answer is C.
Question: A painting crew painted 80 houses. They painted the first y houses at a rate of x houses per week. Then more painters arrived and everyone worked together to paint the remaining houses at a rate of 2.25x houses per week. How many weeks did it take to paint all 80 houses, in terms of x and y?
A.(320 - y)/(5x)
B.(y +250)/(5x)
C.5(80 - y)/(4x)
D.(y + 400)/(4x)
Answer: B.(y +250)/(5x)
Explanation: Ans B
Plug some numbers
Let y = 40 houses and x = 20
then they painted 20 houses per week
as painters were added to the group , the rate of the group increased to 2.25 x => 2.25 * 20 = 45 houses per week
total time they took = (40/20) + (40/45) = 2.9 weeks
Putting the values of x and y in equation B
(y +250)/(5x) = (40+250)/5*20 = 290/100 = 2.9
Question: You have been given a physical balance and 7 weights of 52, 50, 48, 44, 45, 46 and 78 kgs. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 183 kgs.
A.180
B.181
C.182
D.178
Answer: A.180
Explanation: add the max weights
52+50+78=180
ANSWER:A