RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The average of temperatures at noontime from Monday to Friday is 55; the lowest one is 45, what is the possible maximum range of the temperatures?
A.20
B.25
C.40
D.45
Answer: C.40
Explanation: there are 5 days so the sum of temperature can be 55*5=275
lowest is 45. to find the maximum range we can say the temperature was the lowest for 4 of the 5 days
so 4*45=180.
on the fifth day it is 275-180=95
range is therefore 95-45=40
answer C
Question: How many such letter-pairs are there in the word SMUGGLER having same no.of letters left between them as they have in the series?
A.2
B.3
C.4
D.1
Answer: A.2
Explanation: S,U
And E,G
ANSWER:A
Question: A boat can move upstream at 20 kmph and downstream at 35 kmph, then the speed of the current is?
A.5
B.6
C.7.5
D.4
Answer: C.7.5
Explanation: US = 20
DS = 35
M = (35 - 20)/2 = 7.5
Answer: C
Question: The profit earned by selling an article for 912 is equal to the loss incurred when the same article is sold for 448. What should be the sale price of the article for making 50 per cent profit?
A.960
B.1060
C.1,200
D.1020
Answer: D.1020
Explanation: Let the profit or loss be x
and 912 – x = 448 + x or, x = 464⁄2 = 232
\ Cost price of the article = 912 – x = 448 + x = 680
\ SP of the article = 680 × 150⁄100 = 1020
Answer D
Question: The ages of Krish and Vaibhav are in the proportion of 3 : 5. After 9 years, the proportion of their ages will be 3 : 4. Then the current age of Vaibhav is:
A.10
B.13
C.15
D.18
Answer: C.15
Explanation: Explanation:
Krish’s age = 3A and Vaibhav’s age = 5A =(3A + 9)/(5A + 9)=3/4
=> 4 (3A + 9) = 3 (5A + 9)
=> A = 3
Therefore, Vaibhav’s age = 15 years. Answer: C
Question: In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of
A.3100
B.6220
C.6210
D.6240
Answer: D.6240
Explanation: Market Value = Rs. 96.
Required Income = Rs. 650.
Here face value is not given. Take face value as Rs.100 if it is not given in the question
To obtain Rs.10 (ie,10% of the face value 100), investment = Rs.96
To obtain Rs.650, investment = 96/10×650=6240
Answer is D.
Question: The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 12%?
A.37.5%
B.37.9%
C.37.8%
D.39.5%
Answer: A.37.5%
Explanation: Let marked price = Rs. 100.
Then, C.P. = RS. 64, S.P. = Rs. 88
Gain % = 24/64 * 100 = 37.5%.
Answer:A
Question: Mr. Bhaskar is on tour and he has Rs. 360 for his expenses. If he exceeds his tour by 4 days, he must cut down his daily expenses by Rs. 3. for how many days is Mr. Bhaskar on tour?
A.20
B.10
C.15
D.18
Answer: A.20
Explanation: Suppose Mr. Bhaskar is on tour for x days. Then,
360/x - 360/x+4 = 3 <=> 1/x - 1/x+4 = 1<=> x(x+4)
= 4 x 120 =480
<=> x2 +4x –480 = 0 <=> (x+24) (x-20) = 0 <=> x =20.
Hence Mr. Bhaskar is on tour for 20 days.
Answer is A.
Question: Out of 7 constants and 4 vowels how many words of 3 consonants and 2 vowels can be formed?
A.36521
B.25200
C.45127
D.14521
Answer: B.25200
Explanation: Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4)
= 7C3 * 4C2
= 210
Number of groups each having 3 consonants and 2 vowels = 210
Each group contains 5 letters
Number of ways of arranging 5 letters among themselves
= 5! = (5 * 4 * 3 * 2 * 1)
= 210
Required number of words = (210 * 210)
= 25200
Ans: B
Question: If a(a -1) = 20 and b(b - 1) = 20, where a ≠ b, then a + b =
A.−48
B.−1
C.2
D.46
Answer: B.−1
Explanation: i.e. if a = 5 then b = -4
or if a = -4 then b = 5
But in each case a+b = -5+4 = -1
Answer: option B
Question: If M is the mean of x,y,z ; then what is the mean of 3x,3y and 3z
A.M
B.3M
C.10M
D.M+10
Answer: B.3M
Explanation: So new mean is 3M
Answer (B)
Question: In a recent survey at a local deli, it was observed that 3 out of 5 customers bought a bagel and 5 out of 7 customers bought a coffee. Some customers bought both. If 5 customers are selected, what are the chances that at least 1 customer bought a coffee and a bagel?
A.27/343
B.3/7
C.27/125
D.329/411
Answer: D.329/411
Explanation: Let us take 7*5=35 as the total number of customers. So 7*3=21 customers bought a bagel and 5*5=25 customers bought a coffee.
chances that at least 1 customer bought a coffee and a bagel = 1 - chances that no customer bought a coffee and a bagel
chances that no customer bought a coffee and a bagel= 24/35*23/34*22/33*21/32*20/31=82/411
chances that at least 1 customer bought a coffee and a bagel= 1 - 82/411 = 329/411
Answer D.
Question: The probability that A speaks truth is 4/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
A.19/35
B.18/38
C.18/36
D.18/16
Answer: A.19/35
Explanation: If both agree stating the same fact, either both of them speak truth of both speak false.
Probability
= 4/5 * 4/7 + 1/5 * 3/7
= 16/35 + 3/35
= 19/35
Answer: A
Question: Susan made a block with small cubes of 5 cubic cm volume to make a block 7 small cubes long, 7 small cubes wide and 6 small cubes deep. She realise that she has used more small cubes than she really needed. She realised that she could have glued a fewer number of cubes together ot look like a block with same dimensions, if it were made
A.194
B.195
C.196
D.197
Answer: A.194
Explanation: Volume of cube of dimensions 7 7 6 is 7*7*6=294
If it were to look hollow the imaginary inside cube volume is to be deducted
which is (7-2)*(7-2)*(6-2)=100 (Here 2 is deducted because the inside cube which has to be hollow is 2 cubes more on every dimension)
so minimum number of cubes required to make hollow cube is 294-100=194 cubes
ANSWER:A
Question: When height of a tree is equal to the length of its shadow, what is the angle of elevation of the sun?
A.45 deg
B.65 deg
C.276 deg
D.66 deg
Answer: A.45 deg
Explanation: ANSWER: A
Question: Sebastian bought a meal at a restaurant
and left a 15% tip. With the tip, he paid
exactly $36.34. How much did the meal cost without the tip?
A.$28.98
B.$29.91
C.$30.15
D.$31.60
Answer: D.$31.60
Explanation: The tip is a percent increase of 15%, which is 115%. Let x equal the price before the tip.
Thus, 115% of this price equals $36.34:
1.15x = 36.34
Divide both sides by 1.15:=>x=36.34/1.15=31.60
correct answer D)$31.60
Question: A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should B pay?
A.270
B.360
C.276
D.271
Answer: B.360
Explanation: 12*8 :16*9 = 18*6
8: 12: 9
12/29 * 870 = 360
Answer: B
Question: If a class of 10 students has eight men, how many ways can the men and women be arranged in a circle so that no two men sit next to each other?
A.8!7!
B.5!5!
C.4!4!
D.10!
Answer: A.8!7!
Explanation: for no two men to sit together, either all are in even or odd position.
fix one at any one position then rest four can be fixed in 7! ways...
also rest five position of women can be fixed in 8!..
total ways 8!7!
A
Question: If a boat is rowed downstream for 500 km in 5 hours and upstream for 240 km in 6 hours, what is the speed of the boat and the river?
A.70 , 30
B.30 , 70
C.70 , 70
D.30 , 30
Answer: A.70 , 30
Explanation: Explanation:
If x: speed of boats man in still water
y: speed of the river
Downstream speed (Ds) = x + y
Upstream speed (Us) = x â€“ y
x = (Ds + Us) / 2
y = (Ds â€“ Us) / 2
In the above problem Ds = 100 ; Us = 40
x = (100 + 40) / 2 = 140/2 = 70 km/hr
y = (100 - 40)/2 = 60/2 = 30 km/hr
ANSWER: A
Question: In her backyard, Florry grows only yellow roses and white roses. Some of the rose bushes have flowers of both colors, and some have flowers of one color only. The number of rose bushes that have only yellow roses is 50% greater than the number of rose bushes that have only white roses. If there are yellow roses on 80% of Florry's rose bushes, then what percent L of her bushes have only yellow roses?
A.20
B.30
C.50
D.70
Answer: B.30
Explanation: let, the number of bushes with only yellow flowers be x
so, number of bushes with only yellow flowers will be 1.5x
if total number of bushes of flowers= T
then total number of bushes with yellow flowers= 0.8T
we can say that total number of bushes with yellow flowers+ bushes with only white flowers= total number of bushes with flowers
so,L= 0.8T+x=T
x=0.2T
so, 1.5x=0.3T
30% flowers are yellow flowers
OA B
Question: If |x – 9/2| = 5/2, and if y is the median of a set of q consecutive integers, where q is odd, which of the following must be true?
I. xyq is odd
II. xy(q^2 + q) is even
III. x^2y^2q^2 is even
A.I only is true
B.II only is true
C.I and III
D.II and III
Answer: B.II only is true
Explanation: given:
q is Odd
y is the median of odd numbers, hence y is Odd
x = solving the modulus you get 7 and 2. Hence x is Even or Odd
Therefore: q = O, y = O and x = O or E
Statement I = x*y*q = y*q*x = O x O x O/E = O x O/E = Odd or even. So False
Statement II = xy(q^2 + q) = O/E x O (O + O) = O/E x O(E) = O/E x E = Always Even. So true
Statement III. x^2y^2q^2 is even. E/O x O x O = Odd or even. Hence False.
Answer =B.
Question: A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?
A.39:40
B.39:49
C.39:42
D.39:47
Answer: A.39:40
Explanation: Explanation:
3: 4
A = 3/7*210 = 90
390: 400
39:40
Answer:A
Question: The sub-duplicate ratio of 1:9 is
A.4:3
B.1:2
C.1:3
D.1:4
Answer: C.1:3
Explanation: root(1):root(9)=1:3
ANSWER:C
Question: What is the sum of all even numbers from 1 to 501?
A.122821
B.281228
C.281199
D.62750
Answer: D.62750
Explanation: Explanation:
500/2 = 250
250 * 251 = 62750
Answer: D
Question: A, B and C enter in partnership. A invests some money at the beging, B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs 39,000/-, C’s Share is:
A.Rs. 12655/-
B.Rs. 13,000/-
C.Rs. 9000/-
D.Rs. 10800/-
Answer: B.Rs. 13,000/-
Explanation: Explanation:
Suppose A, B, C invest Rs. X, Rs. 2x and Rs. 3x respectively
A : B : C = (x * 12) : (2x * 6) : (3x * 4)
= 12x : 12x : 12x = 1: 1: 1
C’ Share = Rs. (39000 * 1/3) =Rs. 13000/-
Answer: Option B
Question: A student finds the sum 1 + 2 + 3 + ... as his patience runs out. He found the sum as 575. When the teacher declared the result wrong, the student realized that he missed a number. What was the number the student missed?
A.16
B.18
C.14
D.20
Answer: D.20
Explanation: Explanation :
Sum of 1st 10 natural numbers (1 – 10) = 1 + 2 + …10 = 55.
Sum of next 10 natural numbers (11 – 20) = 10 + 11 + 12 +…20 = 100 + 55 = 155.
Sum of next 10 natural numbers (31 – 40) = 255.
Sum of numbers from 31 – 40 = 355 and so on and on.
So, we have here 55 + 155 + 255 = 465.
If we add 355 to 465, it will be way more than 575.
So, we can add one by one.
465 + 31 + 32 + 33 = 561.
465 + 31 + 32 + 33 +34 = 595.
Thus, the sum should be 595 instead of 575, and the missing number is 20.
Answer : D
Question: 5 men are equal to as many women as are equal to 8 boys. All of them earn $90 only. Men’s wages are?
A.$4
B.$6
C.$7
D.$9
Answer: B.$6
Explanation: B
$6
5M = xW = 8B
5M + xW + 8B ----- $90 Rs.
5M + 5M + 5M ----- $90 Rs.
15M ------ $90 => 1M = $6.
Question: Convert the following unit:
2.2 hectares in ares
A.200 ares.
B.210 ares.
C.220 ares.
D.230 ares.
Answer: C.220 ares.
Explanation: 2.2 hectares in ares
1 hectare = 100 ares
Therefore, 2.2 hectares = 2.2 × 100 ares
= 220 ares.
ANSWER : OPTION C
Question: If a 3-number code is formed of the integers from 1 to 17 inclusively, and each of the numbers in the code is different, how many possible codes are there?
A.3970
B.4080
C.4190
D.4200
Answer: B.4080
Explanation: 17*16*15=4080
The answer is B.
Question: A man on tour travels first 160 km at 64 km/he and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is?
A.71.12
B.71.19
C.71.11
D.71.132
Answer: C.71.11
Explanation: Total time taken = (160/64 + 160/8) = 9/2 hrs.
Average speed = 320 * 2/9 = 71.11 km/hr.
Answer:C
Question: Ramesh can finish a work in 20 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?
A.22 days
B.68 days
C.77 days
D.11 days
Answer: D.11 days
Explanation: (5 + x)/20 + 5/25 = 1 => x = 11 days
Answer: D
Question: Find 125/14*6
A.2.4658
B.6.398
C.1.488
D.5.687
Answer: C.1.488
Explanation: Answer=125/14*6
=125/84=1.488
Option C is correct
Question: When the stock market opened yesterday, the price of a share of stock X was 10 1/2. When the market closed, the price was 11 1/4. Of the following, which is closest to the percent increase in the price of stock X?
A.0.5%
B.1.0%
C.6.7%
D.7.1%
Answer: D.7.1%
Explanation: General formula for percent increase or decrease, (percent change):
percent=Change/Original∗100
So, the percent increase in the price of stock X is (45/4−21/2)/(2/12)∗100=50/7
Answer: D.
Question: If n is a positive integer and the greatest common divisor of n and 16 is 4, and the greatest common divisor of n and 15 is 3, which of the following is the greatest common divisor of n and 60?
A.10
B.12
C.14
D.18
Answer: B.12
Explanation: The greatest common divisor of n and 16 is 4 --> n is a multiple of 4 but not a multiple of 8.
The greatest common divisor of n and 15 is 3 --> n is a multiple of 3 but not a multiple of 5.
60=2*3*5*2 is divisible by 12. therefore the greatest common divisor is 12
B
Question: P is 10% more efficient than Q. P can complete a work in 21 days. If P and Q work together, how many days will it take to complete the same work?
A.7
B.9
C.11
D.13
Answer: C.11
Explanation: The work done by P in 1 day = 1/21
Let work done by Q in 1 day = q
q × (110/100) = 1/21
q = 100/(21×110) = 10/(21×11)
The work done by P and Q in 1 day = 1/21 + 10/(21×11) = 21/(21×11)= 1/11
P and Q together can do the work in 11 days.
The answer is C.
Question: A train running at the speed of 126 km/hr crosses a pole in 9 seconds. Find the length of the train.
A.150 meter
B.286 meter
C.186 meter
D.315 meter
Answer: D.315 meter
Explanation: Speed = 126*(5/18) m/sec
= 35 m/sec
Length of Train (Distance)
= Speed * Time
(35) * 9 = 315 meter
Answer:D
Question: There are two cars. One is 60 miles north of the other. Simultaneously, the car to the north is driven westward at 15 miles per hour and the other car is driven eastward at 25 miles per hour. How many miles apart are the cars after 2 hours?
A.60
B.80
C.100
D.120
Answer: C.100
Explanation: Here, drawing a quick sketch of the 'actions' described will end in a diagonal line that you canbuilda right triangle around:
The right triangle will have a base of 60 and a height of 80. The hidden pattern here is a 3/4/5 right triangle (the 60 lines up with the '3' and the 80 lines up with the '4'). In this way, you can deduce that each side is '20 times' bigger than it's corresponding side:
3/4/5 becomes
60/80/100
Thus the distance between the two cars is the length of the hypotenuse of this larger right triangle...
Final Answer: C
Question: X and Y are two towns. Ganesh covers the distance from X to Y at an average speed of 60 Km/hr. However, he covers the distance from Y to X at an average speed of 30 Km/hr. His average speed during the whole journey in km/hr. is :
A.34
B.43
C.40
D.38
Answer: C.40
Explanation: Solution: Average speed = 2XY / X+Y
= 2*60*30 / 60+30
=40
Answer : C
Question: Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?
A.256
B.432
C.512
D.640
Answer: C.512
Explanation: Explanation:
Let total number of children be x.
Then, x x	1/8x=x/2x 16 x = 64.
Number of notebooks =	1/8x2 = (1/8	x 64 x 64)= 512.
ANSWER IS C
Question: 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
A.35
B.40
C.45
D.50
Answer: B.40
Explanation: Let 1 man's 1 day's work = x and 1 woman's 1 day's work = y.
Then, 4x + 6y =	1/8	and 3x + 7y =	1/10	.
Solving the two equations, we get: x =11/400, y =1/400
1 woman's 1 day's work =	1/400	.
10 women's 1 day's work =	1/400 x 10 =	1/40	.
Hence, 10 women will complete the work in 40 days.
Answer : B
Question: Henrikh lives x blocks from his office. It takes him 1 minute per block to walk to
work and 20 seconds per block to ride his bicycle to work. If it takes him exactly
12 minutes more to walk to work than to ride his bicycle, then x equals
A.4
B.7
C.10
D.18
Answer: D.18
Explanation: The best way would be...
Per km, he takes 40 secs extra if he walks
So he will take 12 mins or 12*60 secs in 12*60/40 =18 km
ANSWER:D
Question: What is the unit digit in {(6374)^1793 x (625)^317 x (341^491)}?
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: Unit digit in (6374)1793 = Unit digit in (4)1793
= Unit digit in [(42)896 x 4]
= Unit digit in (6 x 4) = 4
Unit digit in (625)317 = Unit digit in (5)317 = 5
Unit digit in (341)491 = Unit digit in (1)491 = 1
Required digit = Unit digit in (4 x 5 x 1) = 0.
A)
Question: If y exceeds x by 20%, then x is less than y by?
A.86 2/3%
B.16 2/7%
C.16 2/3%
D.16 3/3%
Answer: C.16 2/3%
Explanation: X=100	y=120
120------20
100-------? => 16 2/3%
Answer:C
Question: A man invested Rs. 14,400 in Rs. 100 shares of a company at 20% premium.If the company declares 6% dividend at the end of the year,then how much does he get ?
A.Rs. 500
B.Rs. 600
C.Rs. 650
D.Rs. 720
Answer: D.Rs. 720
Explanation: Solution
Number of shares = (14400/120) = 120.
Face value = Rs. (100x120 ) = Rs. 12000.
Annual income = Rs.(6/100x12000) = Rs. 720.
Answer D
Question: In a mayoral election, Candidate X received 1/2 more votes than candidate Y, and Candidate Y received 2/5 fewer votes than Z. If Z received 25,000 votes how many votes did candidate X received?
A.18000
B.22500
C.24000
D.26000
Answer: B.22500
Explanation: Z=25 --> Y received 2/5 fewer votes than Z --> Y=Z- 2/5*Z=15;
X received 1/2 more votes than Y --> X=Y+1/2*Y=22,5.
Answer: B.
Question: 12.1212+17.0005 - 9.1100 = ?
A.20.0015
B.20.0117
C.20.0115
D.20.1015
Answer: B.20.0117
Explanation: Solution
Given expression
=(12.1212+17.0005)-9.1100
= (29.1217 - 9.1100)
=20.0117.
Answer B
Question: If the population of a certain country increases at the rate of one person every 20 seconds, by how many persons does the population increase in 1 hour?
A.100
B.120
C.150
D.180
Answer: D.180
Explanation: Answer = 3 * 60 = 180
Answer is D
Question: Some of 50%-intensity red paint is replaced with 25% solution of red paint such that the new paint intensity is 40%. What fraction of the original paint was replaced?
A.1/30
B.1/5
C.2/5
D.3/4
Answer: C.2/5
Explanation: 40% is 15%-points above 25% and 10%-points below 50%.
Thus the ratio of 25%-solution to 50%-solution is 2:3.
2/5 of the original paint was replaced.
The answer is C.
Question: The average of first 10 odd numbers is?
A.11
B.10
C.99
D.77
Answer: B.10
Explanation: Sum of 10 odd no. = 100
Average = 100/10 = 10
Answer: B
Question: The number of timeshare condos available at Sunset Beach is 2/5 the number of timeshare condos available at Playa del Mar. If the total number of timeshare condos available at the two beaches combined is 350, what is the difference between the number of condos available at Sunset Beach and the number of condos available at Playa del Mar?
A.60
B.90
C.120
D.150
Answer: D.150
Explanation: Let x be the number of timeshare condos available at Playa del Mar.
Then number of timeshare condos available at Sunset Beach = 3/5x
We know, x + 2/5 x = 350
Hence, x = 250. So, number of timeshare condos available at Playa del Mar = 250
the difference between the number of condos available at Sunset Beach and the number of condos available at Playa del Mar = x - 2/5x = 3/5x = 3/5(250) = 150
The correct answer is D
Question: If 'A' means '-', 'B' means '/', 'C' means '+', and 'D' means 'X' then
Find the value of the following:
21 B 7 C 9 D 10 A 13
A.60
B.70
C.80
D.90
Answer: C.80
Explanation: Solution:
80
Explanation:
21 B 7 C 9 D 10 A 13
= 21 / 7 + 9 X 10 - 13
= 3 + 90 - 13
= 80
Answer C
Question: A trader marked the selling price of an article at 60% above the cost price. At the time of selling, he allows certain discount and suffers a loss of 1%. He allowed a discount of :
A.10 %
B.10.5 %
C.6.8 %
D.12.5 %
Answer: C.6.8 %
Explanation: Sol.
Let C.P. = Rs. 100. Then, Marked Price = Rs. 160, S.P. = Rs. 99.
∴ Discount % = [11/160 * 100] % = 6.8 %
Answer C
Question: A bag contains 6 white and 4 black balls .2 balls are drawn at random. find the probability that they are of same colour.
A.8/15
B.5/14
C.7/15
D.16/7
Answer: C.7/15
Explanation: .let S be the sample space
Then n(S)=no of ways of drawing 2 balls out of (6+4)=10c2=(10*9)/(2*1)=45
Let E=event of getting both balls of same colour
Then n(E)=no of ways(2 balls out of six) or(2 balls out of 4)
=(6c2+4c2)=(6*5)/(2*1)+(4*3)/(2*1)=15+6=21
P(E)=n(E)/n(S)=21/45=7/15
Ans: C
Question: Heinz produces tomato puree by boiling tomato juice. The tomato puree has only 20% water while the tomato juice has 90% water. How many liters of tomato puree will be obtained from 40 litres of tomato juice?
A.2.8 liters.
B.2.5 liters.
C.5 liters.
D.2.6 liters.
Answer: C.5 liters.
Explanation: Answer:
Explanation:
In each of the solutions, there is a pure tomato component and some water. So while boiling, water evaporates but tomato not. So we equate tomato part in the both equations.
â‡’â‡’ 10%(40) = 80%(x)
â‡’â‡’ x = 5 liters.
Answer:C
Question: What will the ratio of simple interest earned by certain amount at the same rate of interest for7 years and that for 9 years.
A.7:5
B.2:5
C.2:9
D.7:9
Answer: D.7:9
Explanation: Explanation:
Let the principal be P and rate be R
then
ratio = [(P∗R∗7/100) /(P∗R∗9/100)]
=7PR /9PR=7:9
Option D
Question: A farmer spent $35 on feed for chickens and goats. He spent 40% money on chicken feed, which he bought at a 40% discount off the full price, and spent the rest on goat feed, which he bought at full price. If the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined?
A.$37.80
B.$38.50
C.$39.20
D.$44.33
Answer: D.$44.33
Explanation: A farmer spent 40% money on chicken feed, so he spent 0.4*$35=$14 on chicken feed, thus he spent the remaining 35-14=$21 on goat feed.
Now, since he bought chicken feed at a 40% discount then the original price of it was x*0.6=$14 --> x=$23,33.
Therefore if the farmer had paid full price for both the chicken feed and the goat feed, then he would he have spent 23,33+21=$44,33.
Answer: D.
Question: A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 238, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala?
A.22
B.33
C.55
D.42
Answer: D.42
Explanation: Let f = pure fuji , g = pure gala and c - cross pollinated.
c = 10% of x where x is total trees.
c = .1x
also 3x/4 = f and c+f = 238 => .1x + 3/4x = 238 => x = 280
280 - 238 = pure gala = 42.
Answer D
Question: In a diving competition, each diver has a 40% chance of a perfect dive. The first perfect dive of the competition, but no subsequent dives, will receive a perfect score. If Janet is the third diver to dive, what is her chance of receiving a perfect score? (Assume that each diver can perform only one dive per turn.)
A.1/5
B.1/15
C.4/25
D.18/125
Answer: D.18/125
Explanation: Probability = Favourable Outcomes / Total Outcomes = 1 - (Unfavourable Outcomes / Total Outcomes)
Given:Probability of Perfect dive = 0.4 = 40/100 = 2/5
i.e. Probability of Non-Perfect dive = 0.6 = 60/100 = 3/5
The probability of Janet to dive and get a perfect score depends on that other other previous two dives must be Imperfect
Method-1:
i.e. Probability of First two being Imperfect and Third being Perfect dive = (3/5)*(3/5)*(2/5) =18/125
D
Question: The average age of 36 students in a group is 15 years. When teacher's age is included to it, the average increases by one. What is the teacher's age in years ?
A.35 years
B.45 years
C.52 years
D.54 years
Answer: C.52 years
Explanation: Explanation:
Age of the teacher = (37 * 16 - 36 * 15) years = 52 years. Answer: C