RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many Q kilometers per hour did Tammy walk on the second day?
A.3
B.3.5
C.4
D.4.5
Answer: C.4
Explanation: Ans: C
Total time = 14 hrs
Let time traveled during 1st day = x
Let time traveled during 2nd day = x-2
Total time =14
x+x-2 = 14
x=8
speed * time = distance
s*8 + (s+0.5)(8-2) = 52
solving s = 4.5
now speed for 2nd day is 0.5 less than the 1st day which is 4.5
Thus speed for 2nd day = 4
Its simple algebra for s*8 + (s+0.5)(8-2) = 52 but for some reason Im getting 3.5 and not 4.5.
8s+6s+3=52
14s=49
s=3.5
Question: 500 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?
A.162
B.138
C.60
D.10
Answer: D.10
Explanation: Passed in english = 65%
Passed in maths = 55%
Passed in both = 40% of 55% = 2/5 * (55%) = 22%
Passed in (English + Maths - Both + Neither) = 100%
65 + 55 - 22 + Neither = 100
Neither = 100 - 98 = 2% = 0.02 * 500 = 10
Answer: D
Question: How many multiples of 4 are less than 3200, and also multiples of 16?
A.104
B.200
C.625
D.832
Answer: B.200
Explanation: The LCM of 4 and 16 is 16. Divide 3200/16 = 200.xxx. So B is your answer.
Question: At Children's General Hospital, 10 out of every 13 babies are crying. If 1 out of every 4 crying babies are hungry, and there are 50 hungry babies crying, how many babies total are there in the hospital?
A.140
B.240
C.50
D.130
Answer: D.130
Explanation: Proportions: Let B = babies, and Bc = babies crying, and Bch = hungry babies crying.
50Bch/xBc = 1Bch/4Bc
xBc = 100Bc
100Bc/yB = 10Bc/13B
yB = 130B
Answer: D
Question: 7 people average age is 30. youngest person age is 6. find average of the people when youngest was born.
A.23
B.24
C.25
D.26
Answer: B.24
Explanation: average age of people =30
so have total age =210
before 7 years we have to deduct each person age by seven years 210-42=161
so average age would be 161/7=24
ANSWER:B
Question: Rs.1010/- distributed among A,B and C such that on decreasing their shares by RS.25,RS.10 and RS.15 respectively, The balance money would be divided among them in the ratio 3:2:5. Then, A’s share is:?
A.Rs.255/-
B.Rs.313/-
C.Rs.365/-
D.Rs.355/-
Answer: B.Rs.313/-
Explanation: A:B:C = 3:2:5
Total parts = 10
A's share is = 3 parts
10 -----> Rs.960/-
3 -----> Rs.288/-
A's total =288 + 25 = Rs.313/-
B)
Question: In 50 l can, milk and water in the ratio of 3:1. if the ratio has made 1:3 then the quantity of water that has to be added further is?
A.100
B.120
C.90
D.80
Answer: A.100
Explanation: 100 litre water is to be added.
let 'x' liter water is to be added more.
Then 1/3 = 37.5 /(12.5 + x)
x= 100
ANSWER:A
Question: A truck owner will refuel his vehicle at a rate of 2 gallons of diesel fuel every 5 seconds. If diesel fuel costs $ 1.0 per gallon, how long will it take for the truck owner to refuel his vehicle with $ 40 worth of diesel fuel?
A.20 seconds
B.1 minute
C.1 minute 40 seconds
D.20 minutes
Answer: C.1 minute 40 seconds
Explanation: 2 gal / 5 sec
$1.25 / gal
$40/$1.25 = 40 gal
2 gal / 5 sec with 40 gal = 100 sec
C. 1 minute 40 seconds
Question: Mane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks. If they both work together, how many weeks will it take for them to produce 15 handcrafted drums?
A.30
B.36
C.70
D.80
Answer: B.36
Explanation: Method I: the rates solution
“Mane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks.” Mane’s rate is (1 drum)/(4 weeks) = 1/4. Zane’s rate is (1 drum)/(6 weeks) = 1/6. The combined rate of Mane + Zane is
R = 1/4 + 1/6 = 3/12 + 2/12 = 5/12
That’s the combined rate. We need to make 15 drums — we have a rate and we have an amount, so use the “art” equation to solve for time:
T = A/R = 15/(5/12) = 15*(12/5) = (15/5)*12 = 3*12 = 36
BTW, notice in the penultimate step, the universal fraction strategy: cancelbeforeyou multiply (Tip #3:http://magoosh.com/gmat/2012/can-i-use- ... -the-gmat/. Mane and Zane need 36 weeks to make 15 drums.
Answer = B.
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A.328
B.279
C.240
D.288
Answer: C.240
Explanation: Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, x + 300 / 36 = 15
x + 300 = 540
x = 240 m. Answer:C
Question: A cylindrical can has a radius of 6 centimeters and a height of 12 centimeters. What is the area, in square centimeters, of a rectangular label that completely covers the curved surface of the can without over-lapping?
A.16 pi
B.64 pi
C.96 pi
D.144 pi
Answer: D.144 pi
Explanation: They are asking the lateral surface area of the cylinder.
the Lateral surface area = 2* pi * r *h
= 2*pi*6*12=144 pi
Answer is D.
Question: Set A contains three different positive odd integers and three different positive even integers. Set B contains two different positive odd integers and three different positive even integers. If one integer from set A and one integer from set B are chosen at random, what is the probability that the product of the chosen integers is even?
A.3/5
B.2/5
C.1/2
D.4/5
Answer: D.4/5
Explanation: There can be an odd product only if both integers are odd.
P(odd product) = 1/2*2/5 = 1/5
P(even product) = 1 - 1/5 = 4/5
The answer is D.
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 9 p.m. from Delhi. When will they meet?
A.40.00 a.m.
B.10.00 a.m.
C.12.00 a.m.
D.11.00 a.m.
Answer: D.11.00 a.m.
Explanation: Explanation:
D = 110 â€“ 20 = 90
RS = 20 + 25 = 45
T = 90/45 = 2 hours
9 a.m. + 2 = 11 a.m.
Answer: Option D
Question: If p/q =4/5, then the value of 25/7 + {(2q - p) / (2q + p)} is ?
A.4
B.34
C.1
D.2
Answer: A.4
Explanation: Answer
Given Exp. = 25/ 7 + {(2q - p) / (2q + p)}
Dividing numerator as well as denominator by q,
Exp = 25/7 + {2-p/q) / (2 + p/q)}
= 25/7 + {(2 - 4/5) / (2 + 4/5)}
= 25/7 + 6/14
= 25/7 + 3/7
=28/7
=4
Correct Option: A
Question: In what time will two trains cross each other completely, which are running on the same parallel lines in opposite directions, each 100 m in length both trains running with a speed of 80 kmph?
A.4.5 sec
B.4.8 sec
C.4.2 sec
D.5.0 sec
Answer: A.4.5 sec
Explanation: D = 100m + 100m = 200m * 1/1000 = 0.2 kms
RS = 80 + 80 = 160 kmph
T = (0.2/160) * 3600 = 4.5 sec
ANSWER:A
Question: 14, 35, 49, 56, 91, 126
In the sequence above, each term is related with the others. Which of the following could not be a term in the sequence?
A.560
B.259
C.562
D.686
Answer: C.562
Explanation: Simplifying the question into easier words we just need to find which of the numbers is not divisible by 7
clearly the answer is 562 because if we divide 562 by 7 we get a remainder of 80.28
Correct answer - C
Question: The product of all the prime numbers less than 12 is closest to which of the following powers of 10?
A.a) 10^9
B.b) 10^8
C.c) 10^7
D.d) 10^3*2.31
Answer: D.d) 10^3*2.31
Explanation: Group these numbers so as to get product close to a multiple of 10, so they can be rewritten as (2*5)(3*7)(11)= 10*21*11
Now take out power of 10 from each number and rewrite
10*10*10(1*2.1*1.1) or 10^3*(1*2.1*1.1) =2.31*10^3
D
Question: An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other
without replacement. What is the probability that both drawn balls are black?
A.1/5
B.3/7
C.2/5
D.3/5
Answer: B.3/7
Explanation: Let E and F denote respectively the events that first and second ball drawn
are black. We have to find P(E n F) or P (EF).
Now P(E) = P (black ball in first draw) = 10/15
Also given that the first ball drawn is black, i.e., event E has occurred, now there are 9 black balls and five white balls left in the urn. Therefore, the probability that the second ball drawn is black, given that the ball in the first draw is black, is nothing but the conditional probability of F given that E has occurred.
That is P(F|E) = 9/14
By multiplication rule of probability, we have
P (E n F) = P(E) P(F|E)
= 10/15 × 9/14 = 3/7
B
Question: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
A.Rs.15009
B.Rs.15029
C.Rs.15072
D.Rs.15000
Answer: D.Rs.15000
Explanation: The ratio of their profits A:B = 8:12 = 2:3
Share of A in the total profit = 2/5 * 25000 = Rs.10000 Share of A in the total profit
= 3/5 * 25000
= Rs.15000
Answer: D:
Question: Three positive integers a, b, and c are such that their average is 18 and a ≤ b ≤ c. If the median is (a + 11), what is the least possible value of c?
A.21
B.23
C.25
D.27
Answer: B.23
Explanation: Solution:
We know that the average value is 18 therefore (a+b+c)/3 = 18
so a+b+c = 54
and b = a + 11
therefore a + (a + 11) + c = 54
The least value of c is when c = b
so take c = a + 11
hence, a + (a + 11) + (a + 11) = 54
i.e., a = 32/3 a non integer therefore c is not equal to b
so take c = b+1 therefore c = a+12
a + (a + 11) + (a + 12) = 54
i.e., a= 31/3 again a non integer therefore c is not equal to b+1
next take c= b+2 therefore c = a+13
a + (a + 11) + (a + 13) = 54
i.e., a=30/3 = 10
hence, a = 10, b = 21, and c = 23
Answer: B
Question: At a summer camp with 1,200 participants, 1/2 of the campers are aged 8 to 12. Next year, the number of campers aged 8 to 12 will increase by 1/3. After this change, what percentage of the total 1,200 campers will the 8- to 12-year-olds represent?
A.66 2/3%
B.60%
C.50%
D.45%
Answer: A.66 2/3%
Explanation: Total - 1,200 participants
campers are aged 8 to 12 = (1/2)*1200 = 600
Next year, campers are aged 8 to 12 = (4/3)*600 = 800
Percentage = (800/1200)*100 = 66 2/3%
Answer: Option A
Question: Niall's income is 60% less than Rex's income, and Sam's income is 25% less than Niall's income. If Rex gave 60% of his income to Sam and 40% of his income to Niall, Niall's new income would be what fraction of Sam's new income?
A.8/9
B.11/12
C.8/13
D.11/13
Answer: A.8/9
Explanation: We can take some easy numbers and make calculations simpler.
Let R ( Rex's income) = 100
Q (Niall's income) = 40%R = 40
S (Sam's income) = 75% Q = (3/4)*40 = 30
Now, if Rex gives 40% to Niall --> Q = 40 + 40 = 80
60% given to Sam --> S = 30+60 = 90
The ratio is : Q/S = 80/90 = 8/9= A
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 160 m long?
A.41.6 sec
B.11 sec
C.88 sec
D.19 sec
Answer: A.41.6 sec
Explanation: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 160 = 520 m
Required time = 520 * 2/25 = 41.6 sec
Answer: A
Question: How many kgs of flour worth 25 per kg must be blended with 30 kgs of flour worth ` 30 per kg so that by selling the blended variety at X 30 per kg there should be a gain of 10%?
A.32 kg
B.40 kg
C.36 kg
D.42 kg
Answer: C.36 kg
Explanation: (x * 25) + (30 * 30) / (x + 30)
= 11/10 * 30(x + 30)
On solving the equation, x = 36.
Answer:C
Question: I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
A.288
B.280
C.268
D.256
Answer: B.280
Explanation: x*(85/100)
= (480 - x)119/100
x = 280
Answer:B
Question: The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.12000 and the average salary of the rest is Rs.6000. How many workers are there in the workshop?
A.21
B.22
C.23
D.24
Answer: A.21
Explanation: Explanation:
Let the number of workers = x
Given that average salary of all the workers = Rs.8000
Then, total salary of all workers = 8000x
Given that average salary of 7 technicians is Rs.12000
=> Total salary of 7 technicians = 7 × 12000 = 84000
Count of the rest of the employees = (x - 7)
Average salary of the rest of the employees = Rs.6000
Total salary of the rest of the employees = (x - 7)(6000)
8000x = 84000 + (x - 7)(6000)
=> 8x = 84 + (x - 7)(6)
=> 8x = 84 + 6x - 42
=> 2x = 42
=> x = 42/2 = 21
Answer: Option A
Question: I had about Rs.14.40 in one rupee coins and 20 paise coins when I went out for shopping.
When I returned, I found that number of 20 paise coins and 1 rupee coins are exactly as 1
rupee and 20 paise coins respectively, that I had originally. I came back with one third of
what I had started out with. How many one rupee coins did I have initially?
A.10
B.12
C.14
D.16
Answer: C.14
Explanation: Let x be number of 1 rupee coins and y be number of 20 paise coins initially.
Initially : 1x + .2y =14.40
Finally : 1y + .2x = 4.80 (as number of coins interchange)
Solving we get, x=14 and y=2
Therefore there was 14 one rupee coins and 2 20 paise coins initially.
ANSWER:C
Question: If f and p are two positive integers and f/p = 1.35, then f can equal which one of the following?
A. 21
B. 28
C. 20
D. 27
Answer: D. 27
Explanation: f/p = 1.35 = 135/100 = 27/20
So, p COULD equal 27
Answer: D
Question: During the first two weeks of March, the total rainfall in Springdale was 25 inches. If the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall in inches during the second week of March?
A.10
B.12
C.15
D.16
Answer: C.15
Explanation: Let x be the rainfall in the first week. Then 1.5x was the rainfall in the second week.
2.5x = 25
x = 10
The rainfall during the second week was 1.5 * 10 = 15 inches
The answer is C.
Question: subash can copy 50 pages in 10 hrs.subash and prakash together can copy 300 pages in 40 hours.in how much time prakash can copy 30 pages.
A.8
B.10
C.12
D.14
Answer: C.12
Explanation: subhas 's 1 hr copy page=50/10=5 page
(subhas+prakash)'s 1 hr copy page=300/40=7.5 page
from above prakash's 1 hr copy page= 2.5 page
so time taken in 30 page's copy =(30/2.5)=12 hrs
ANSWER:C
Question: One fourth of a solution that was 12% salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent salt by weight?
A.28%
B.34%
C.22%
D.18%
Answer: A.28%
Explanation: consider total solution to be 100 liters and in this case you'll have: 75*0.12+25*x=100*0.16 --> x=0.28.
Answer: A.
Question: Daniel went to a shop and bought things worth Rs. 25, out of which 60 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A.A)14.4
B.B)20
C.C)21.3
D.D)21.5
Answer: A.A)14.4
Explanation: Total cost of the items he purchased = Rs.25
Given that out of this Rs.25, 30 Paise is given as tax
=> Total tax incurred = 60 Paise = Rs.60/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (25−60/100−x)6/100 = 60/100
⇒ 6(25 −0.6 −x) = 60
⇒ (25 − 0.6 − x) = 10
⇒ x = 25 − 0.6 − 10 = 14.4
A
Question: how many such letters pairs are in word MONKEY having same no. of letters left between them in the word as they have in the series
A.1
B.2
C.3
D.4
Answer: A.1
Explanation: one pair is observed that is (ON) as there is no alphabet in between them and in series also threre is no letter in between them.
ANSWER:A
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.42 seconds
B.47 seconds
C.40 seconds
D.49 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: How many multiples of 8 are less than 4500, and also multiples of 12?
A.104.6
B.187.5
C.625.6
D.450.5
Answer: B.187.5
Explanation: LCM of 8 & 12 = 24
Tried dividing 4500 by 24
Got quotient 187.5 'So B is answer
Question: Country C imposes a two-tiered tax on imported cars: the first tier imposes a tax of 20% of the car's price up to a certain price level. If the car's price is higher than the first tier's level, the tax on the portion of the price that exceeds this value is 10%. If Ron imported a $20,000 imported car and ended up paying $2500 in taxes, what is the first tier's price level?
A.$6000
B.$5500
C.$5000
D.$5700
Answer: C.$5000
Explanation: Let T be the tier price, P be total price = 20000
Per the given conditions:
0.20T + 0.10(P-T) = 2500
0.20T+0.10*20000-0.10T =2500
0.10T +2000 =2500
0.10T = 2500-2000 = 500
T = 500/0.10 =5000
Answer C
Question: In six successive games, a baseball team scored 4 runs once, 7 runs twice, and 10 runs three times.
What was the average (arithmetic mean) number of runs the team scored per game over the six-game period?
A.8
B.7
C.6
D.5
Answer: A.8
Explanation: 4 runs once (one game)
7 runs twice (two game)
10 runs three times (three games)
SO we have (4*1 + 7*2 + 10*3)/6 = 48/6 = 8.
ANS: A.
Question: A is 3 years older to B and 3 years younger to C, while B and D are twins. How many years older is C to D?
A.2
B.3
C.6
D.12
Answer: C.6
Explanation: Explanation:
Since B and D are twins, so B = D.
Now, A = B + 3 and A = C - 3.
Thus, B + 3 = C - 3 D + 3 = C-3 C - D = 6.
Answer: C
Question: If 20% of a number = 200, then 120% of that number will be?
A.20
B.120
C.360
D.1200
Answer: D.1200
Explanation: Let the number x. Then,
20% of x = 200
x = (200 * 100)/20 = 1000
120% of x = (120/100 *1000) = 1200.
ANSWER:D
Question: When positive integer x is divided by positive integer y, the remainder is 8. If x/y = 96.16, what is the value of y?
A.96
B.75
C.50
D.25
Answer: C.50
Explanation: by the definition of a remainder, the remainder here is equal to 8/y. the remainder in decimal form is given as .16
therefore, 8/y = .16
solve for y and get 50.
C
Question: The circumferences of two circles are 660 meters and 704 meters. Find the difference between the areas of the larger and the smaller circles?
A.2996 sq m
B.4774 sq m
C.4312 sq m
D.2768 sq m
Answer: B.4774 sq m
Explanation: Let the radii of the smaller and the larger circles be s m and l m respectively.
2∏s = 660 and 2∏l = 704
s = 660/2∏ and l = 704/2∏
Difference between the areas = ∏l^2 - ∏s^2
= ∏{330^2/∏^2 - 352^2/∏^2}
= 330^2/∏ - 352^2/∏
= (330 - 352)(330 + 352)/∏
= (22)(682)/(22/7)
=4774 sq m
Answer:B
Question: How many positive integers will divide evenly into 530?
A.8
B.12
C.16
D.18
Answer: D.18
Explanation: 520 = 10*13*4 = 8*5*13 = 2^3*5*13
We need to positive integers will divide evenly into 520 or simply the factors of 520
If a number is of the form 2^a*3^b*5^c,
Total factors = (a+1)(b+1)(c+1)
Therefore, number of factors of 520 = (3+1)*(1+1)*(1+1) = 4*2*2 = 18
Option D
Question: A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
A.230
B.881
C.711
D.622
Answer: A.230
Explanation: Relative speed = 120 + 80 = 200 km/hr.
= 200 * 5/18 = 500/9 m/sec.
Let the length of the other train be x m.
Then, (x + 270)/9 = 500/9 => x = 230.
Answer: A
Question: Ratio of two numbers x and y is 7:9. If x is increased by 20% and y is increased by 33 then the new ratio becomes 1:5. What is the ratio 2y:(x+4)
A.18:11
B.8:1
C.11:18
D.1:8
Answer: A.18:11
Explanation: Let:
x = 7n
y = 9n
8.4n/(9n+33) = 1/5
42n = 9n+33
n = 1
So, x =7; y=9
2y/(x+4) = 18/11
Answer = A
Question: In a certain company 20% of the men and 40% of the women attended the annual company picnic.If 45% of all the employees are men .What % of all the employee went to the picnic?
A.31%
B.34%
C.35%
D.36%
Answer: A.31%
Explanation: total men in company 45% means total women in company 55%(assume total people in company 100%)
no of men employees attended picnic=45x(20/100)=9
no of women employees attend picnic=55x(40/100)=22
total percentage of employees attend the picnic=9+22=31%
ANSWER:A
Question: 200,190,180,....,160,150,140
Insert the missing number
A.155
B.156
C.157
D.170
Answer: D.170
Explanation: Missing number : 170
Answer : D
Question: In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
A.120
B.720
C.4320
D.2160
Answer: B.720
Explanation: The word 'OPTICAL' contains 7 different letters.
when the vowels OIA are always together, they can be supposed to form one letter.
Then, we have to arrange the letters PTCL (OIA)
Now, 5 letters can be arranged among themselves in 3!=6 ways.
Required number of ways =(120*6)=720.
Answer is B
Question: From among the 35 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
A.1360
B.1260
C.1060
D.1190
Answer: D.1190
Explanation: There are 35 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 35 ways. When one person is appointed as leader, we are left with 35 students. Out of these 34 teachers, we can select one class representative. So, a class representative can be selected in 34 ways. Hence, the number of ways in which a leader and class representative can be selected = 35 x 34 = 1190
ANSWER:D
Question: The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 70 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
A.22
B.10
C.25
D.99
Answer: B.10
Explanation: Let the number of students who wrote the exam be x.
Total marks of students = 80 x.
Total marks of (x - 5) students = 90(x - 5)
80x - (5 * 70) = 90(x - 5)
100 = 10x => x = 10.Answer: B
Question: Seats for Maths, Physics and Biology are in the ratio of 4 : 7 : 8 respectively. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the respective ratio of increased seats?
A.2 : 3 : 4
B.6 : 7 : 8
C.8 : 15 : 20
D.Cannot be determined
Answer: C.8 : 15 : 20
Explanation: Reqd ratio 4 Ã— 140â„100 : 7 Ã— 150â„100 : 8 Ã— 175â„100
= 4 Ã— 140 : 7 Ã— 150 : 8 Ã— 175 = 8 : 15 : 20
Answer C
Question: A 5" cube is painted in all its faces and then it is cut down into 1" blocks. How many 1" blocks
are there even without a single face being painted?
A.16 blocks
B.20 blocks
C.27 blocks
D.36 blocks
Answer: C.27 blocks
Explanation: The unpainted blocks are the interior blocks.
These blocks form a 3" cube on the inside.
The number of unpainted blocks is 3*3*3 = 27 blocks.
The answer is C.
Question: At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products. If he spent the remaining $5 on candy, how much did John spend at the supermarket?
A. $75
B. $80
C. $90
D. $120
Answer: A. $75
Explanation: Let's let T = total number of dollars spent at the supermarket. With this variable we can set up an equation and determine T.
We are given that John spent 1/2 of his money on fresh fruits and vegetables, or (1/2)T, 1/3 on meat products, or (1/3)T, and 1/10 on bakery products, or (1/10)T. We are also given that he spent the remaining $5 on candy. Since we know where all his money was allocated, we can sum these values together and set the sum to T. So we have:
(1/2)T + (1/3)T + (1/10)T + 5 = T
To get rid of the fractions we can multiply the entire equation by 30, and we obtain:
15T + 10T + 3T + 150 = 30T
28T + 150 = 30T
150 = 2T
T = 75
John spent $7 at the supermarket.
Answer: A
Question: In how many ways can the letters of the word TATTOO be arranged?
A.1206
B.1348
C.2520
D.60
Answer: D.60
Explanation: TATTOO has 6 words, but T is repeated three times and O is repeated two times. Thus ways
= 6! / 3!2! = 60 ways
D
Question: If x^2+4x+3 is odd, then which one of the following could be the value of x.
A.3
B.4
C.5
D.6
Answer: B.4
Explanation: for any x, 4x+3->odd
so x^2 should be even, means x should be even;
only ans we have 4 as even.
ANSWER:B