RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: In Orange County, one ninth of the people are gathering mushrooms and one eighth of the people are collecting apples. What can be the number of people in Orange County?
A.244
B.260
C.275
D.288
Answer: D.288
Explanation: The number must be a multiple of both 9 and 8 so the answer is 288.
The answer is D.
Question: How many of the positive divisors D of 120 are also multiples of 4 not including 120?
A.3.
B.4.
C.5.
D.7.
Answer: D.7.
Explanation: 4,8,12,20,24,40,60. (7) is the answer
Other way : factors of 120 = 2^3 * 3*5
Separate 2^2 ( which means 4)
Now, calculate the number of other factors.
D=2*3*5 = total positive factors are 2*2*2 = 8
This 8 factors include 120
So subtract 1 from 8
Ans is 7=D
Question: Ravi and sunil are partners in a business. Ravi invests Rs.20,000 for 8 months and Sunil invested Rs.16000 for 10 months then after one year ratio of their profits will be
A.1:1
B.2:3
C.3:2
D.3:1
Answer: A.1:1
Explanation: =(15000*8):(8000*10)
=160000:160000
=1:1
ANSWER:A
Question: The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.
A.2 sq m
B.18 sq m
C.3 sq m
D.12 sq m
Answer: C.3 sq m
Explanation: Explanation:
Area S=(a+b+c)/2
S = (1 + 2 + 3)/2 = 3 sq m.
Answer : C
Question: 30% of the men are more than 25 years old and 80% of the men are less than or equal to 50 years old. 20% of all men play football. If 20% of the men above the age of 50 play football, what percentage of the football players are less than or equal to 50 years?
A.15%
B.20%
C.80%
D.70%
Answer: C.80%
Explanation: Explanation :
Let number of men = 100.
Then, 80 men are less than or equal to 50 years old i.e 20 men are greater than 50 years of age.
Now, the number of men above 50 years who play football = 20% of 20 = 4.
20% of all men play football i.e total no. of men who play football = 20, out of which 4 men are above 50 years old.
So, 20 - 4 = 16 men are less than or equal to 50 years old.
Therefore, percentage of football players less than or equal to 50 years = (16/20) x 100 = 80% .
Answer : C
Question: Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
A.22
B.99
C.27
D.28
Answer: D.28
Explanation: Speed Ratio = 1:7/6 = 6:7
Time Ratio = 7:6
1 -------- 7
4 --------- ? è 28 m.Answer:D
Question: Rs. 4536 is divided among 4 men, 5 women and 2 boys. The ratio of share of a man, a woman and a boy is 7: 4: 3. What is the share of a woman?
A.236
B.336
C.346
D.356
Answer: B.336
Explanation: Ratio of the share of a man, a woman and a boy is 7:4:3
No of men, women and boys are 4, 5, 2
Thus effective ratio of men, women and boys is 7*4 : 4*5 : 3*2 = 28 : 20 : 6
so part of women = (20/54)* 4536 = 1680
so part of 1 woman = 1680/5 =336
ANSWER:B
Question: There are 840 male and female participants in a meeting. Half the female participants and one-quarter of the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
A.140
B.100
C.125
D.175
Answer: A.140
Explanation: female = x
Male = 840-x
x/2 + 840-x/4 = 1/3* (840)= 280
x= 280
x/2 = 140 is supposed to be the answer
M is missing something
Correct Option A
Question: Robert spent $100 in buying raw materials, $125 in buying machinery and 10% of the total amount he had as cash with him. What was the total amount?
A.$150
B.$210
C.$250
D.$160
Answer: C.$250
Explanation: Let the total amount be x
then, (100-10)% of x = 100+125
90% of x = 225
90x/100 = 225
x = $250
Answer is C
Question: Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.88 at the candy store. What is John’s weekly allowance?
A.$2.70
B.$3.00
C.$3.30
D.$3.60
Answer: C.$3.30
Explanation: x = 3x/5 + 1/3*2x/5 + 88
4x/15 = 88
x = 330 = $3.30
The answer is C.
Question: A 10% stock yields 8%.The market value of the stock is :
A.Rs. 72
B.Rs. 125
C.Rs. 112.50
D.Rs. 116.50
Answer: B.Rs. 125
Explanation: solution
To obtain Rs. 8, investment = Rs. 100.
To obtain Rs. 10, investment = Rs.(100/8X10)= Rs. 125
∴ Market value of Rs. 100 stock = Rs.125
Answer B
Question: Two trains are moving in the same direction at 126 kmph and 54 kmph. The faster train crosses a man in the slower train in 14 seconds. Find the length of the faster train?
A.280
B.290
C.300
D.310
Answer: A.280
Explanation: Relative speed = (126 - 54) * 5/18 = 4 * 5
= 20 mps.
Distance covered in 27 sec
= 14 * 20
= 280 m.
The length of the faster train
= 280 m.
Answer:A
Question: If cost of sugar increases by 12%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
A.7.5
B.9.2
C.10.7
D.15.3
Answer: C.10.7
Explanation: 100
112
-----
112 ----- 12
100 ------ ? => 10.7%
Answer:C
Question: Sheena has a pet frog and it is growing fast and eating more flies each day. When she first brought it home on Monday it ate 3 flies, Tuesday it ate 6, Wednesday it ate 9, and Friday it ate 15.
How many flies did her frog eat on Thursday?
A.12
B.14
C.10
D.11
Answer: A.12
Explanation: A) 12. The frog started eating 3 more flies each day.
3 +3 =6
6+3=9
9+3=12
12+3=15
Question: 30.5 % of 2000
A.556
B.612.5
C.756.8
D.610
Answer: D.610
Explanation: 1 % of 2000 = 2030% of 2000 = 30*20 =6000.5% of 2000 = 0.5*2000 = 10Total =610Answer :D
Question: In how many ways can the letters of the word 'BANANA' be arranged?
A.60
B.50
C.48
D.96
Answer: A.60
Explanation: The word BANANA contains 6 letters
1B,3A,2N
required number of ways = 6!/(1!*3!*2!) = 60
Answer is A
Question: If 30/x is an integer and 3/x is an integer, which of the following must be true?
I. 10/x is an integer
II. 3/x is an integer
III. 6/x is an integer
A.II only
B.I only
C.III only
D.II,III only
Answer: A.II only
Explanation: The question asks which of the following MUST be true, not COULD be true. The largest possible value of x is 3, GCD of 30 and 3, and if x=3 then ONLY II is true.
Answer: A
Question: The average of marks obtained by 120 boys was 38. If the average of marks of passed boys was 39 and that of failed boys was 15, the number of boys who passed the examination is?
A.100
B.110
C.115
D.125
Answer: C.115
Explanation: Let the number of boys who passed = X.
Then, 39 x X + 15 x (120 - X) = 120 x 38
24X = 4560 - 1800
=> X = 2760/24
X = 115.
Hence, the number of boys passed = 115.
ANSWER:C
Question: How many words can be formed by using all letters of the word “LOVE”
A.12
B.24
C.15
D.16
Answer: B.24
Explanation: The word LOVE contains 4 different letters.
Required number of words = 4p4 = 4! = (4x3x2x1) = 24.
Answer B
Question: Vikas can cover a distance in 1hr 24min by covering 2/3 of
the distance at 4 kmph and the rest at 5kmph.the total
distance is?
A.8km
B.6 km
C.2km
D.11km
Answer: B.6 km
Explanation: Let total distance be S
total time=1hr24min
A to T :: speed=4kmph
diistance=2/3S
T to S :: speed=5km
distance=1-(2/3S)=1/3S
21/15 hr=(2/3 S)/4 + (1/3s) /5
84=(14/3S)*3
S=(84*3)/14*3
= 6km
Answer is B.
Question: The ratio between Sumit's and Prakash's age at present is 2:3. Sumit is 6 years younger than Prakash. The ratio of Sumit's age to Prakash's age after 6 years will be :
A.1 : 2
B.2 : 3
C.3 : 4
D.3 : 8
Answer: C.3 : 4
Explanation: Explanation:
Let their ages be 2x and 3x years.
3x-2x=6 or x=6
Sumit's age = 12 years, Prakash's age = 24 years
Ratio of their ages = 18 : 24 = 3 :4.
Correct Option: C
Question: If 8 men or 12 women can do a piece of work in 20 days, in how many days can the same work be done by 6 men and 11 women?
A.10 days
B.11 days
C.12 days
D.15 days
Answer: C.12 days
Explanation: 8men = 12women (i.e 2men = 3women)
12women 1 day work= 1/20
soln:
6men(9women)+ 11women=20women=?
1 women 1 day work =12*20= 1/240
so, 20 women work= 20/240=1/12
ans: 12days
ANSWER:C
Question: Sabrina gave Samantha as many dollars as Samantha started out with. Samantha then gave Sabrina back as much as Sabrina had left.
Sabrina then gave Samantha back as many dollars as Samantha had left, which left Sabrina broke and gave Samantha a total of $80.00. How much did Sabrina and Samantha have at the beginning of their exchange?
A.$50
B.$40
C.$30
D.$20
Answer: A.$50
Explanation: Sabrina had $50 and Samantha had $30.
This can be solved by setting up two simultaneous equations, but it’s easier just to work backwards.
At each step, the person who is receiving the money gets the amount that they were already holding. In other words, they double their money.
Therefore, just before the last exchange, Samantha must have had $40 and was given another $40 to get to her total of $80.
Just before the second exchange, Sabrina must have had half of her $40. Therefore, Sabrina had $20 and Samantha had $60.
After the first exchange Samantha doubled her money, so she must have had $30 before the exchange, leaving Sabrina with $50 at the start.
Answer A
Question: The average age of a class of 20 students is 21 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher?
A.40
B.41
C.42
D.45
Answer: C.42
Explanation: Total age of all students =20Ã—21
Total age of all students + Age of the teacher =21Ã—22
Age of the teacher
=21Ã—22âˆ’21Ã—20=21(22âˆ’20)=21Ã—2=42
Answer is C.
Question: If the integer N = 139k53 where k is the hundreds digit, N can never be divisible by which of the following?
A.5
B.3
C.4
D.6
Answer: A.5
Explanation: Apply the rule here that for a number to be divisible by 5 the last digits must be 0 or 5
Since in 'N' integer last digit is 3
This is never divisible by 5.
hence A is correct
Question: In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 150 marks, the no of questions he attempts correctly is :
A.35
B.38
C.40
D.42
Answer: D.42
Explanation: Explanation:
Let the number of correct answers be X.
Number of incorrect answers = (60 – X).
4x – (60 – x) = 150
=> 5x = 210
=> x = 42
Answer: D
Question: Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 12 different shirts, 10 different pairs of jeans, and 9 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
A.30
B.90
C.1240
D.1480
Answer: D.1480
Explanation: Total # of outfits = 12 * 10 * 9 = 960
Answer - D
Question: A dealer offers a cash discount of 20%. Further, a customer bargains and receives 20 articles for the price of 15 articles. The dealer still makes a profit of 20%. How much percent R above the cost price were his articles marked?
A.100%
B.80%
C.75%
D.66+2/3%
Answer: A.100%
Explanation: Good question...2:11 min
Marked Price (M) = Cost Price (C) + Mark up...(EQN. A)
Selling price = 20% Discount over M = 0.8*M
Given that, a customer bargains and receives 20 articles for the price of 15 articles-->*afurther loss of 25%to the dealer--> BUT aNET PROFIT of 20%over cost price (C)
0.75* 0.8 * M =1.2 * C
Hence, M/C = 2/1 = 200%=R
From Eqn. A , (C + Mark up)/C = 200% -->Mark up / C = 100%
Ans. A
Question: Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?
A.4
B.6
C.8
D.9
Answer: B.6
Explanation: There are five letters in the given word.
Consider 5 blanks ....
The first blank and last blank must be filled with N and A all the remaining three blanks can be filled with the remaining 3 letters in 3! ways.
The number of words = 3! = 6.
Answer: B
Question: Anita, Indu and Geeta can do a piece of work in 18 days, 27 days and 36 days respectively. They start working together. After working for 4 days. Anita goes away and Indu leaves 5 days before the work is finished. Only Geeta remains at work from beginning to end. In how many days was the whole work done?
A.19 3/4 days
B.29 3/4 days
C.9 3/4 days
D.16 days
Answer: B.29 3/4 days
Explanation: 4/18 + (x -5)/27 + x/36 = 1
x = 29 3/4 days
ANSWER:B
Question: For a certain art exhibit, a museum sold admission tickets to a group of 30 people every 5 minutes from 9:00 in the morning to 4:55 in the afternoon, inclusive. The price of a regular admission ticket was $10 and the price of a student ticket was $6. If on one day 3 times as many regular admission tickets were sold as student tickets, what was the total revenue from ticket sales that day?
A.$24960
B.$25920
C.$28080
D.$28500
Answer: B.$25920
Explanation: From 9:00 in the morning to 4:55 in the afternoon, inclusive there are 8*12=96 five-minute intervals, thus total of 96*30 tickets were sold.
Say x student and 3x regular tickets were sold, then x+3x=96*30 --> x=24*30 and 3x=3*(24*30)=24*90.
Therefore, the total revenue from ticket sales that day was 24*30*6+24*90*10=$25,920.
Answer: B.
Question: In the quadratic equation x2 - bx + 20 = 0, if the product of two roots is 20, what is the sum of the two roots?
A.20
B.12
C.16
D.14
Answer: B.12
Explanation: Explanation:
The sum of the roots of the quadratic equation ax2 + ax + c = 0 are (-b/a) and the product of the roots are (c/a).
Thus, in the equation x2 - ax + 20 = 0, where a = 1, b = - a and c = 20.
we get, product of the roots = 20
sum of the roots = -(-12)/ 1 = 12
ANSWER: B
Question: A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits?
A.60
B.8
C.7
D.12
Answer: D.12
Explanation: x * 3/5 * 1/5 = 9
x = 75 => 7 + 5 = 12
ANSWER:D
Question: A farmer with 1,350 acres of land had planted his fields with corn, sugar cane, and tobacco in the ratio of 5:3:1, respectively, but he wanted to make more money, so he shifted the ratio to 2:4:3, respectively. How many more acres of land were planted with tobacco under the new system?
A.90
B.150
C.270
D.300
Answer: D.300
Explanation: We have ratio in 5:3:1 and this is shifted to 2:4:3 ( C:S:T )
If we observe the ratio of the tobacco increased by 2 times (3-1)
T = 1/9*1350 = 150.
Since tobacco increased by 2 times..we get 150*2 = 300.
Answer D is the answer..
Question: If 30 and 12 are factors of K, which of the following is the largest number that must divide evenly into K?
A.21
B.36
C.90
D.60
Answer: D.60
Explanation: In order to solve this, you can calculate the LCM(30,12) (Least common multiple of 30 and 12)
After the calculations you will find that the LCM(30,12)= 60.
You will then check which of the numbers given in the alternatives are divisible by 60 and choose the largest of them.
In this case, the largest divisible number is 60.
Answer D
Question: In how many years does a sum of Rs. 7000 yield a simple interest of Rs. 16000 at 15% p.a.?
A.15.23 years
B.16.23 years
C.17.23 years
D.18.23 years
Answer: A.15.23 years
Explanation: T = (100 * 16000)/(15 * 7000) = 15.23 years
ANSWER:A
Question: if remainder is 1 , quotient is 54 and dividend is 217 then what is divisor ?
A.2
B.4
C.6
D.14
Answer: B.4
Explanation: we know
dividend = divisor * quotient + remainder===> 217 = divisor * 54 + 1 =====> 216/54 = divisor ===> divisor = 4 Ans - B
Question: {(476 + 424)2 - 4 x 476 x 424} = ?
A.2135
B.6551
C.2704
D.6466
Answer: C.2704
Explanation: Given Exp.	= [(a + b)2 - 4ab], where a = 476 and b = 424
= [(476 + 424)2 - 4 x 476 x 424]
= [(900)2 - 807296]
= 810000 - 807296
= 2704.
Correct Option is C
Question: The least number which when divided by 3, 4, 5 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is
A.167
B.243
C.252
D.336
Answer: B.243
Explanation: Explanation:
L.C.M of 3, 4, 5, 8 = 120
therefore Required Number is of the form 120k+3.
Least value of k for which (120k+3) is divisible by 9 is k = 2
therefore Required Number = (120 x 2+3)=243
Answer: B
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 sec. The speed of the train is?
A.45
B.50
C.54
D.56
Answer: B.50
Explanation: Speed of the train relative to man = 125/10 = 25/2 m/sec.
= 25/2 * 18/5 = 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: Option B
Question: A small company reduced its faculty by approximately 14 percent to 195 employees. What was the original number of employees?
A.A)182
B.B)227
C.C)220
D.D)224
Answer: B.B)227
Explanation: If x is the original number of employees, then after 14% reduction in employees number is .86x
but we are given .86x = 195
x = 227
So the original number of employees is 227
Correct Answer - B
Question: 5358 x 51 = ?
A.272258
B.272358
C.273258
D.274258
Answer: C.273258
Explanation: 5358 x 51	= 5358 x (50 + 1)
= 5358 x 50 + 5358 x 1
= 267900 + 5358
= 273258.
C)
Question: The ratio of men to women in a class is 4 to 3. If 4 men drop out of the class and the ratio of men to women after the drop out is 10 to 9, then how many men are currently in the class?
A.14
B.16
C.18
D.20
Answer: D.20
Explanation: Equation on the basis of question
4x-4/3x=10/9
x=6
Original number of men = 4*6=24
Original Number of Women = 3*6=18
Current number of men = 24-4=20 (Answer)
Current number of women = 18
Ratio = 20/18= 10/9 ( Just to verify)
Ans D
Question: At a small company, 64 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married?
A.5/16
B.3/4
C.9/20
D.7/10
Answer: B.3/4
Explanation: Lets take total employees are 100.
Given that,Total Women= 64 and Total Married = 60.
Total Men = 100 - 64 = 36 and Single men = 2/3*36 = 24.
Married men = total men - single men = 36 - 24 = 12.
Married women= Total married - Married men = 60 - 12 = 48.
Fraction of women are married = Married women / Total Women = 48 / 64 = 3/4. ANS B
Question: On a test, the boys in the class averaged 90 points and the girls in the class averaged 96 points. If the overall class average was 94 points, what is the ratio of boys to girls in the class?
A.1/2
B.2/3
C.3/4
D.3/5
Answer: A.1/2
Explanation: (96G + 90B) / (G+B) = 94
96G + 90B = 94(G+B)
2G=4B
B/G = 1/2
The answer is A.
Question: The sale price shirts listed for Rs.1000 after successive discount is 15% and 2% is?
A.338
B.823
C.833
D.337
Answer: C.833
Explanation: 1000*(85/100)*(98/100)
= 833
Answer: C
Question: The area of the largest circle that can be drawn inside a square of side 112 Cm in length is:
A.9856
B.8646
C.2616
D.1636
Answer: A.9856
Explanation: Radius of required circle = 56 Cm
its area = 22/7 × 56 × 56
176 × 56 = 9856 Cm(power)2
Answer is A.
Question: Running at the same constant rate, 8 identical machines can produce a total of 240 pens per minute. At this rate, how many pens could 5 such machines produce in 5 minutes?
A. 114
B. 108
C. 192
D. 750
Answer: D. 750
Explanation: Let's take the approach that uses the answer choices to eliminate wasted time.
240/8 = 30 pens per minute per machine.5 machines = 150 per minute. 5 minutes worth =750 pens.
Looking at the answers it is clear...we can only choose (D).
THE CORRECT ANSWER IS D.
Question: If 50% of the 880 students at a certain college are enrolled in biology classes, how many students at the college are NOT enrolled in a biology class?
A.560
B.540
C.520
D.440
Answer: D.440
Explanation: We know 50 % people study biology,therefore the no of people not studying = 100 - 50 = 50%
> Therefore the people not studying biology out of a total 880 people are = 50 % of 880
> (50/100)*880 = 440 people
D
Question: A bag of potatoes weighs 28 lbs divided by half of its weight. How much does the bag of potatoes weight?
A.20 lb
B.14 lb
C.10 lb
D.15 lb
Answer: B.14 lb
Explanation: Sol.
28÷2 = 14.
Answer : B
Question: If x^2 = y^2, which of the following must be true?
A.x = y
B.x = −y
C.|x| = |y|
D.x = −|y|
Answer: C.|x| = |y|
Explanation: Since x^2=y^2 we have 0=x^2 – y^2 =(x-y)*(x+y). So x=y or x=-y.
So only (A) and only (B) cannot be an answer.
The choice (E) tells us that k should be greater than or equal to 0.
Similarly the choice (D) tells us that k should be less than or equal to 0.
So neither (E) nor (D) cannot be the answer.
The answer is, therefore, (C).
Question: a school has 4 maths 3 physics and 3 chemistry teachers each teacher can teach 2 subjects max what is he minimum number of teachers required
A.4
B.5
C.6
D.7
Answer: B.5
Explanation: Total subjects = 4 +3 +3 = 10
Max subjects by 1 teacher = 2
So, min of teachers required = 10/2 = 5
ANSWER:B
Question: A candidate got 35% of the votes and lost to the rival by 1800 votes. How many votes were cast?
A.5500
B.6000
C.6500
D.7000
Answer: B.6000
Explanation: 35%-----------L
65%-----------W
------------------
30% = 1800
10% = 600
100% of the votes = 6000
Answer: B
Question: The roots of the equation x / (x + 2) + 3 / (x - 4) = (4x + 2) / (x 2 - 2x - 8) are
A.x = 4 and x = 1
B.x = 4 only
C.x = 1 only
D.x = -4 only
Answer: C.x = 1 only
Explanation: We first note that
(x + 2)(x - 4) = x 2 - 2x - 8
We now multiply all terms of the given equation by (x + 2)(x - 4) and simplify to get
x (x - 4) + 3 (x + 2)= (4x + 2)
Expand, group and solve
x 2 - x + 6 = 4x + 2
x 2 - 5x + 4 = 0
(x - 1)(x - 4) = 0
Roots: x = 1 and x = 4
Check answer: only x = 1 is a solution since the given equation is not defined at x = 4.
Answer C
Question: Suppose that there is a rubber ball which has a property of bouncing back to the original height from which it was dropped and it keeps doing that until it is stopped by any external force.
Can you calculate the fraction of height to which the ball would have bounced if it has bounced four times after dropping from a certain height without being stopped?
A.16/81
B.15/90
C.18/88
D.15/79
Answer: A.16/81
Explanation: A
16/81
Explanation:
It is a question of geometric progression but we can solve it step by step as well in case you are not aware of the formula.
At first bounce
The height at which the ball would have reached = 2/3 of the original height from which it was dropped.
At second bounce
The height at which the ball would have reached = 2/3 * 2/3 of the original height from which it was dropped.
At third bounce
The height at which the ball would have reached = 2/3 * 2/3 * 2/3 of the original height from which it was dropped.
At fourth bounce
The height at which the ball would have reached = 2/3 * 2/3 * 2/3 * 2/3 of the original height from which it was dropped.
Now, 2/3 * 2/3 * 2/3 * 2/3 = 16/81
Therefore, 16/81 of the original height from which the ball was dropped is the required fraction height.
Question: If a farmer sells 15 of his hens, his stock of feed will last for 4 more days than planned, but if he buys 20 more hens, he will run out of feed 3 days earlier than planned. If no hens are sold or bought, the farmer will be exactly on schedule. How many hens does the farmer have?
A.60
B.40
C.80
D.70
Answer: A.60
Explanation: Let x = total feed required for the planned period
n= number of hen
t = total time of the planned feed
x = nt
1) x = (n-15) * (t+4)
2) x = (n+20) * (t-3)
equating 1&2
(n-15) * (t+4) = (n+20) * (t-3) or nt +4n -15t -60 = nt -3n +20t-60
7n = 35t
n =5t
x= n * n/5
substituting this value in 1
n * n/5 = (n-15) * (n/5+4)
5n = 300
n =60
A
Question: It takes Joey the postman 1 hours to run a 2 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 6 mile/hour, what is the speed with which Joey returns?
A.9
B.12
C.13
D.14
Answer: A.9
Explanation: let his speed for one half of the journey be 3 miles an hour
let the other half be x miles an hour
now,
avg speed =5 mile an hour
2*2*x/3+x=6
4x=6x+18=>2x=18
x=9
A
Question: When a number is divided by 13, the remainder is 6. When the same number is divided by 7, then remainder is 1. What is the number ?
A.243
B.253
C.312
D.432
Answer: B.253
Explanation: Explanation:
Take 243
243 ÷ 7 = 34, remainder = 5
Hence this is not the answer
Take 312
312 ÷ 7 = 44, remainder = 4
Hence this is not the answer
Take 253
253 ÷ 7 = 36, remainder = 1.
253 ÷ 13 = 19, remainder = 6
This satisfies both the conditions given in the question. Hence it is the answer.
Answer: B