RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: What is the units digit of the product of the first 100 odd numbers?
A.1
B.3
C.0
D.5
Answer: D.5
Explanation: 1*3*5*7 ................... will end up in 5 in the units place
Answer : D
Question: Equal amount of water were poured into two empty jars of different capacities, which made one jar 1/5 full and other jar 1/4 full. If the water in the jar with lesser capacity is then poured into the jar with greater capacity, what fraction of the larger jar will be filled with water?
A.1/7
B.2/5
C.1/2
D.7/12
Answer: B.2/5
Explanation: Same amount of water made bigger jar 1/5 full, then the same amount of water(stored for a while in smaller jar) were added to bigger jar, so bigger jar is 1/5+1/5=2/5 full.
Answer: B.
Question: A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10% protein and food Y contains 15% protein. If the rabbit's diet provides exactly 39 grams of protein daily, how many grams of food X are in the mixture.
A.120
B.140
C.150
D.160
Answer: A.120
Explanation: Let x be the amount of food X.
0.1x + 0.15(300-x) = 39
0.05x = 6
x = 120
The answer is A.
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 13 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
A.11
B.408
C.2881
D.287
Answer: B.408
Explanation: 1h ----- 5
? ------ 60
12 h
RS = 13 + 21 = 34
T = 12
D = 34 * 12 = 408
Answer:B
Question: Water boils at 212°F or 100°C and ice melts at 32°F or 0°C . If the temperature of a pot of water is 60°C, what is the temperature of the pot of water in °F?
A.132°F
B.140°F
C.148°F
D.156°F
Answer: B.140°F
Explanation: Let F and C denote the temperature in Fahrenheit and Celsius respectively.
(F - 32) /(212 - 32) = (C - 0)/(100 - 0)
F = 9C/5 + 32
F = 9(60)/5 + 32 = 140°F
The answer is B.
Question: A person invested in all Rs. 2600 at 4%, 6% and 8% per annum simple interest. At the end of the year, he got the same interest in all the three cases. The money invested at 4% is?
A.3477
B.2688
C.2699
D.1200
Answer: D.1200
Explanation: Let the parts be x, y and [2600 - (x + y)].
Then,
(x * 4 * 1)/100 = (y * 6 * 1)/100 = {[2600 - (x + y)] * 8 * 1}/100
y/x = 4/6 = 2/3 or y = 2/3 x
So, (x * 4 * 1)/100 = [(2600 - 5/3 x) * 80/100
52x = (7800 * 8) => x = 1200
Money invested at 4% = Rs. 1200.
Answer:D
Question: A bag contains 26 purple jellybeans, 15 green jellybeans, and 9 yellow jellybeans; these jellybeans are the only items in the bag. If a person picks a jellybean at random out of the bag, what is the probability that the jellybean will be yellow?
A.18%
B.20%
C.25%
D.30%
Answer: A.18%
Explanation: p = 26 , g=15 , y=9
total = 50
p(yellow)=(9/50)*100 = 18% . Ans = A
Question: In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?
A.72
B.80
C.120
D.100
Answer: D.100
Explanation: Let the number of students be x. Then,
Number of students above 8 years of age = (100 - 20)% of x = 80% of x.
80% of x = 48 +2/3of 48
(80/100)x = 80
x = 100.
ANSWER D
Question: A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
A.3/21
B.2/91
C.4/91
D.8/81
Answer: B.2/91
Explanation: Let S be the sample space.
Then, n(S)	= number of ways of drawing 3 balls out of 15
= 15C3
= (15*14*13)/(3*2*1)
= 455
Let E = event of getting all the 3 red balls
n(E) = 5C3 = 5C2 =(5*4)/(2*1)
= 10
P(E) =n(E)/n(S)
= 10/455
= 2/91
Answer should be B
Question: What is the remainder when the number R=14^2 * 15^8 is divided by 5?
A.0
B.1
C.2
D.4
Answer: A.0
Explanation: 14^2 has units digit 6
15^8 has units digit 5
Thus R=14^2*15^8 has units digit 0 and will be divisible by 5. The remainder will be zero
Answer: (A)
Question: In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 63 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp?
A.70
B.450
C.150
D.35
Answer: B.450
Explanation: Since 30% of the boys from school A study science, then 70% of the boys from school A do NOT study science and since 20% of the total number of boys are from school A, then 0.2*0.7 = 0.14, or 14% of the boys in the camp are from school A and do not study science.
We are told that this number equals to 63, so 0.14*{total} = 63 --> {total} = 450.
Answer: B.
Question: A researcher computed the mean, the median, and the standard deviation Y for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change?
A.The mean only
B.The median only
C.The standard deviation only
D.The mean and the median
Answer: D.The mean and the median
Explanation: If we add or subtract a constant to each term in a set the standard deviation Y will not change..
If we add (or subtract) a constant to each term in a set the mean and the median will increase (decrease) by the value of that constant.
Answer: D.
Question: In the coordinate plane, one of the vertices of a square is the point (-4, -4). If the diagonals of that square intersect at point (3, 2), what is the area of that square?
A.180
B.196
C.160
D.164
Answer: B.196
Explanation: One point (-4-4), Intersection (3,2) so the distance from the first point -4-3=-7 is the midpoint of the square --> whole side 14, 14*14=196
B
Question: In what time will a train 240 metres long cross an electric pole, if its speed be 126 km/hr?
A.6.75 sec
B.6.85 sec
C.6.55 sec
D.6.44 sec
Answer: B.6.85 sec
Explanation: Solution
Speed	= (126 x 5 /18) m/sec
= 35 m / sec
Time taken	= (240 /35) sec
= 6.85 sec.
Answer B
Question: The instructions state that Cheryl needs 5/9 square yards of one type of material and 1/3 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 8/24 square yards left that she did not use. What is the total amount of square yards of material Cheryl used?
A.1/12
B.1/9
C.2/3
D.5/9
Answer: D.5/9
Explanation: Total bought = 5/9+1/3
left part 8/24--->1/3
so used part 5/9+1/3-1/3=5/9
ANSWER:D
Question: If a is a positive even integer, and n and m are consecutive integers, then (n - m)^a/(m - n)^a =
A.-2
B.-1
C.0
D.1
Answer: D.1
Explanation: a= +ve even integer
Since,n and m are consecutive integers , their difference will be 1
((n-m)^a)/((m-n)^a)= ((n-m)/(m-n))^a = (-1)^a
Since we are raising the difference of n and m to power a , which is even , the answer will be 1 .
Answer D
Question: Convert the following unit:
7 hectares in mÂ²
A.50000 mÂ²
B.60000 mÂ²
C.65000 mÂ²
D.70000 mÂ²
Answer: D.70000 mÂ²
Explanation: 7 hectares in mÂ²
1 hectare = 10000 mÂ²
Therefore, 7 hectares = 7 Ã— 10000 mÂ²
= 70000 mÂ²
ANSWER : OPTION D
Question: A contractor is engaged for 30days on the condition thathe receives Rs.25 for each day he works &is fined Rs.7.50 for each day is absent. He gets Rs.685 in all. For how many days was he absent?
A.8
B.10
C.2
D.17
Answer: C.2
Explanation: 30 * 25 = 750
685
-----------
65
25 + 7.50 = 32.5
62/32.5 = 2
C
Question: An amount of Rs. 10000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested at 11% was?
A.2377
B.3750
C.2997
D.2677
Answer: B.3750
Explanation: Let the sum invested at 9% be Rs. x and that invested at 11% be Rs. (10000 - x). Then,
(x * 9 * 1)/100 + [(10000 - x) * 11 * 1]/100 = (10000 * 39/4 * 1/100)
(9x + 110000 - 11x)/100 = 3900/4 =975
(9x + 110000 - 11x) = 97500
x = 6250
Sum invested at 9% = Rs. 6250
Sum invested at 11% = Rs. (10000 - 6250) = Rs. 3750.
Answer: B
Question: The operation T is defined by x T y=1/x+1/y for all nonzero numbers x and y. If z is a number greater than 1, which of the following must be true.
I. x T (-z)=0
II. z T z/z-1=1
III. 2/z T 2/z=1
A.a.) I
B.b.) I and II only
C.c) I and III only
D.d) II only
Answer: D.d) II only
Explanation: Statement I is not TRUE
Statement II is TRUE
Statement III is not TRUE
Answer : D
Question: A gardener increased the length of a rectangle-shaped garden by 25 percent and decreased its width by 20 percent. The area of the new garden
A.has increased by 20 percent
B.has increased by 12 percent
C.has increased by 8 percent
D.is exactly the same as the old area
Answer: D.is exactly the same as the old area
Explanation: Let L be the original length and let W be the original width.
The original area was L*W.
The new area is 0.8W*1.25L = (0.8)(1.25)L*W = L*W
The answer is D.
Question: A train 360 m long is running at a speed of 90 km/hr. In what time will it pass a bridge 140 m long?
A.40 sec
B.29 sec
C.26 sec
D.20 sec
Answer: D.20 sec
Explanation: Speed = 90 * 5/18 = 25 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 1/25
= 20 sec
Answer: D
Question: On return from a business trip Mr. Chidambaram was to be picked up from the railway station by
his coachman. Someone he managed a train connection earlier and thus arrived two hours too early.
Immediately on arrived he rang up home for the coach and was told that it had just left in order to be
exactly in time for the train by which he was scheduled to come. To save the time he started walking
homeward at 3kmph. On the way he met the coachman who brought him home an hour before
schedule. How far is the Mr. Chidambaram’s house from the railway station?
A.22
B.18
C.99
D.27
Answer: B.18
Explanation: Very good questions. Appeared in Puzzles book of Ravi Nirula.
Let the train's correct time is 9.00 am. Now chidambaram reached the station at 7 am and he was informed that the coachman (car) left at 7 am. So car takes 2 hours to reach the station. This car expected to reach home at 11 am.
But the car after picking up chidambaram, reached home 1 hour early. i.e., 10 am. So car has travelled 3 hours and 1.5 hours towards the station. So it picked him up at 8.30 am. Car saved distance equivalent to 30 minutes. but this distance is covered by Chidambaram by walk. He took 1.5 hours to cover this distance.
So Car speed is 3 times that of his walking speed. Car speed = 3 × 3 = 9 km.
We know that car takes 2 hours to reach station. So the distance = 9 × 2 = 18 km.
Answer:B
Question: What least number must be added to 1056, so that the sum is completely divisible by 23 ?
A.2
B.3
C.16
D.18
Answer: A.2
Explanation: 23) 1056 (45
92
---
136
115
---
21
---
Required number = (23 - 21)
= 2.
Answer: Option A
Question: ----------------YES---------NO----UNSURE Subject M----500--------200-----100 Subject R----400--------100-----300 A total of 800 students were asked whether they found two subjects, M and R, interesting. Each answer was either yes or no or unsure, and the numbers of students who gave these answers are listed in the table above. If 170 students answered yes only for subject M, how many of the students did not answer yes for either subject?
A.100
B.230
C.300
D.400
Answer: B.230
Explanation: Since 170 students answered yes only for subject M, then the remaining 330 students who answered yes for subject M, also answered yes for subject R. So, 330 students answered yes for both subjects.
If 320 students answered yes for both subjects, then 400-330=70 students answered yes only for subject R.
So, we have that:
200 students answered yes only for subject M;
70 students answered yes only for subject R;
300 students answered yes for both subjects;
Therefore 800-(200+70+300)=230 students did not answer yes for either subject.
Answer: B.
Question: How many of the positive divisors Q 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.
Q=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: If x/y = 5 and (4a - x)/(b - y) = 5, then the value of a/b is?
A. –3
B. -2
C. 1
D. 5/4
Answer: D. 5/4
Explanation: x = 5y
4a - 5y = 5(b - y)
4a - 5y = 5b - 5y
4a = 5b
a/b = 5/4
Answer: D
Question: On June 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 4 for each of the past 5 months. If the stock continues to decrease at the same rate for the rest of the year, how many fewer bicycles will be in stock on November 1 than were in stock on January 1?
A. 8
B. 12
C. 40
D. 32
Answer: C. 40
Explanation: Jan 1 = C
Feb 1 = C - 4
March 1 = C - 8
April 1 = C - 12
May 1 = C - 16
June 1 = C - 20
July 1 = C - 24
Aug 1 = C - 28
Sept 1 = C - 32
Oct 1 = C - 36
Nov 1 = C - 40
Difference between stock on November 1 than were in stock on January 1 will be -
C - ( C - 40 )= 40
Hence answer will be (C)
Question: Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
A.227
B.540
C.882
D.266
Answer: D.266
Explanation: A+B+C = 1170
4A = 3B = 2C = x
A:B:C = 1/4:1/3:1/2 = 3:4:6
6/13 * 1170 = Rs.540
Answer: D
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
A.120
B.110
C.130
D.140
Answer: A.120
Explanation: The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.
Area of the triangle = 1/2 * 24 * 10 = 120 cm2
Answer: Option A
Question: When 10 is subtracted from a number, it reduces to seven-twelve of the number. What is the sum of the digit of the number
A.10
B.24
C.46
D.48
Answer: B.24
Explanation: Explanation:
Let the number be x. Then,
x - 10 = 7x/12 => x - 7x/12 = 10
5x/12 = 10 => x = 24
Answer: Option B
Question: 6^4 is equal to which of the following?
A.1,296
B.752
C.660
D.662
Answer: A.1,296
Explanation: A is the correct answer. We do not really need to calculate it. The last digit for 6^4 will be 6. Hence A is the correct answer
Question: In a group of cows and hens, the number of legs are 18 more than twice the number of heads. The number of cows is
A.5
B.7
C.9
D.12
Answer: C.9
Explanation: Explanation:
Let the number of cows be x and the number of hens be y.
Then, 4x + 2y = 2 (x + y) + 18
4x + 2y = 2x + 2y + 18
2x = 18
x = 9.
Answer: C
Question: If a is an even integer and b is an odd integer which of the following must be an odd integer :
A.a/b
B.ab
C.2a+b
D.2(a+b)
Answer: C.2a+b
Explanation: We can always look for low hanging fruits first to solve such questions under 30secs.
Expression in C, is basically 2*Even+Odd or simply Even+Odd which is always going to be odd.
Hence C
Question: Two integers are in the ratio of 1 to 4. If 12 is added to the smaller number, the ratio becomes 1 to 1. Find the larger integer.
A.8
B.16
C.32
D.48
Answer: B.16
Explanation: One option is to set up the equations and solve:
If the ratio of two integers x and y is 1 to 4, then 4x=y, where x is the smaller integer.
If adding 12 to the smaller integer makes the ratio 1 to 1, then x+12=y.
Substituting y=4x into the second equation yields x+12=4x.
So, x=4 (smaller integer) and, y=4x=16 (larger integer) so B is the correct answer.
Another option is to TEST the answer choices.
A) the larger number is 8
Given: the two integers are in the ratio of 1 to 4
So, the smaller number must be 2
If 12 is added to the smaller number, the ratio becomes 1 to 1
If we add 12 to the smaller number (2), we get 14.
So, the new ratio is 14 to 8 which is the same as 7 to 4.
No good. We want a resulting ratio of 1 to 1
ELIMINATE A
B) the larger number is 16
Given: the two integers are in the ratio of 1 to 4
So, the smaller number must be 4
If 12 is added to the smaller number, the ratio becomes 1 to 1
If we add 12 to the smaller number (4), we get 16
So, the new ratio is 16 to 16 which is 1 to 1.
Therefore (B) is correct.
C) the larger number is 32
Given: the two integers are in the ratio of 1 to 4
So, the smaller number must be 8
If 12 is added to the smaller number, the ratio becomes 1 to 1
If we add 12 to the smaller number (8), we get 20
So, the new ratio is 20 to 32 which is 5 to 8.
No good. We want a resulting ratio of 1 to 1
ELIMINATE C
D) the larger number is 48
Given: the two integers are in the ratio of 1 to 4
So, the smaller number must be 12
If 12 is added to the smaller number, the ratio becomes 1 to 1
If we add 12 to the smaller number (12), we get 24
So, the new ratio is 24 to 48. This is the same as the ratio of 1 to 2
No good. We want a resulting ratio of 1 to 1
ELIMINATE D
E) the larger number is 54
Given: the two integers are in the ratio of 1 to 4
So, the smaller number must be 13.5 (which is not an integer)
Since both numbers are integers, the larger number cannot be 54.
ELIMINATE E
Therefore B is the only correct choice.
Question: Toby is four years younger than Debby. Thrice the sum of the ages of Toby and Debby equals their mother’s age. If the age of the mother is 30, find the ages of Toby and Debby?
A.10 and 14
B.3 and 7
C.6 and 10
D.5 and 10
Answer: B.3 and 7
Explanation: Let the age of Debby be x and Toby be x-4
3 ( x + x-4 ) = 30
x = 7
The ages of Toby and Debby are 3 and 7.
Answer : B
Question: A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120.To obtain equal dividends from both,he must invest the money in the ratio :
A.3 : 4
B.3 : 5
C.4 : 5
D.16 : 15
Answer: D.16 : 15
Explanation: Solution
For an income of Rs. 1 in 9% stock at 96, investment = Rs. (96/9)= Rs. 32/3 .
For an income of Rs. 1 in 12% stock at 120, investment = Rs.(120/12) = Rs. 10.
∴ Ratio of investments = 32/3 :10 =32:30 = 16:15
Answer D
Question: When asked how old she was, Pooja replied, 'In 2 years I will be twice as old as I was five years ago.'
How old is she ?
A.11 years
B.12 years
C.8 years
D.10 years
Answer: B.12 years
Explanation: B
12 years
Question: Set S has a mean of 10 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most?
A.{9, 11}
B.{2, 10}
C.{10, 18}
D.{7, 13}
Answer: A.{9, 11}
Explanation: answer B,C, and E mean is not 10 therefore not accepted . D mean is 10 but S.D is more. therefore accepted
answer is A mean is 10 and S.D decreases minimum.
A
Question: Out of 6 balls a pair is to be selected for a game. At most, how many different pairs are possible?
A.100
B.90
C.50
D.15
Answer: D.15
Explanation: N=6C2=6!/(4!2!)=6*5/2=15
Correct Option: D
Question: A train starts with the speed of 50km/hr with its speed increasing every two hours by 20kmph. In how many hours will it cover 330 kms
A.4 hrs
B.5 hrs
C.6 hrs
D.4 ½ hrs
Answer: B.5 hrs
Explanation: Explanation:
Distance covered in first 2 hours = 50×2 =100km
Distance covered in next 2 hours = 70×2 =140km
Remaining distance = 330 -100-140 =90km
Speed of the fifth hour =90km/hr
Time taken to cover 90km = 90/90 = 1 hr
Total time taken = 2+2+ 1 = 5 hrs
Answer: Option B
Question: A cyclist covers a distance of 500m in 4 min 30sec. What is the speed in km/hr of the cyclist?
A.2
B.2.5
C.3.2
D.4.6
Answer: C.3.2
Explanation: distance = 500 m
time = 4min 10 sec = 250 sec
speed = (500/250) m/s = 2m/s
speed in km/hr = 2*18/5 = 3.2 km/hr
correct option is C
Question: A certain tire company can produce tires at a cost of $22,500 per batch plus $9 per tire. The company can sell tires to the wholesaler at a cost of $20 per tire. If a batch of 15,000
tires is produced and sold, what is the company’s profit per tire?
A.$9.00
B.$9.50
C.$11.00
D.$13.50
Answer: B.$9.50
Explanation: CP(15000 tires) = $22500 +($9×15000) =$157500
SP (15000 tires) = $20×15000 = $300000
Profit = SP-CP
= $300000-$157500= $142500
PROFIT/TIRE = $142500/15000 = $9.50
Answer B
Question: During a Thanksgiving weekend, a car rental company rented six-tenths of their vehicles, including three-fifths of the 4WDs that it had. If 60% of the vehicles are 4WDs, then what percent of the vehicles that were not rented were not 4WDs?
A.20%
B.30%
C.40%
D.60%
Answer: C.40%
Explanation: 4/10 of all the vehicles were not rented.
(2/5)(3/5) = 6/25 of all the vehicles were 4WDs that were not rented.
(6/25) / (4/10) = 3/5 is the fraction of non-rented vehicles that were 4WDs
1 - 3/5 = 40% of non-rented vehicles were not 4WDs.
The answer is C.
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68% of the distribution lies one standard deviation s of the mean, what percent of the distribution is less than m+s?
A. 16%
B. 32%
C. 48%
D. 84%
Answer: D. 84%
Explanation: 16%
________________________________________________ m+s
34%
________________________________________________ m
34%
________________________________________________ m-s
16%
since 68% lies one standard deviation from mean m, => 50% of 68% lies on either side as it is symmetric about m.
thus 16% lie below m-s and 16% lie above m+s
now below m+s = 16+34+34 = 84%
hence D
Question: Eight identical machines can produce 360 aluminum cans per hour. If all of the machines work at the same constant rate, how many cans could 5 such machines produce in 5 hours?
A.675
B.750
C.1,125
D.5,900
Answer: C.1,125
Explanation: 8 machines/ 360 cans = 5 machines/ x cans
8x= 1800
x=225
(225)(5 hours)= 1125 cans. The answer is C.
Question: A sum was put a simple interest at a certain rate for 1 years. Had it been put at 6% higher rate, it would have fetched Rs. 30 more. The sum is:
A.s.500
B.s.600
C.s.700
D.s.800
Answer: A.s.500
Explanation: Explanation :
Let the sub be Rs.x and the initial rate be R%.Then
x Ã— (R+6) Ã— 1/100âˆ’xÃ—RÃ—1/100=30
â‡’x Ã— 6Ã—1/100=30
â‡’x Ã— 1 /100=5
â‡’x=500
Answer : Option A
Question: If 12 men do a work in 80 days, in how many days will 16 men do it?
A.20
B.29
C.22
D.60
Answer: D.60
Explanation: 12 * 80 = 16 * x
x = 60 days
Answer: D
Question: The greatest common factor of positive integers m and n is 10. What is the greatest common factor of (2m^2, 2n^2)?
A.2
B.10
C.100
D.200
Answer: D.200
Explanation: m = 10j and n = 10k, where the greatest common factor of j and k is 1.
2m^2 = 2*10*10*j^2 and 2n^2 = 2*10*10*k^2
The greatest common factor of 2m^2 and 2n^2 is 2*10*10 = 200
The answer is D.
Question: At an elementary school, 70% of the faculty members are women and 40% of the faculty members are married. If 1⁄3 of the men are single, what fraction of the women are married?
A.5⁄7
B.7⁄10
C.2/7
D.7⁄30
Answer: C.2/7
Explanation: --------------------M------W--------Total
Marrried----------20-----20---------40
Not married-----10-----50---------60
Total-------------30-----70--------100
need married woman/total woman, so 20/70=2/7
C
Question: Two cars cover the same distance at the speed of 60 and 62 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
A.1873
B.1848
C.1860
D.1838
Answer: C.1860
Explanation: Explanation:
60(x + 1) = 62x
X = 30
60 * 31 = 1860 km
Answer: Option C
Question: Jaclyn buys $60 000 worth of debentures in a company. She earns 9.5% p.a. simple interest, paid to her quarterly (that is, every 3 months). If the agreed period of the debenture was 18 months: calculate the amount of interest Jaclyn will earn for each quarter
A.1187.5
B.1234
C.1289
D.1425
Answer: D.1425
Explanation: Explanation:
I=(p x r x t)/100
= 60000*9.5/100*(18/12)^1/6 = 1425
Answer: D
Question: Exactly 18% of the reporters for a certain wire service cover local politics in Country X. If 40% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?
A.20%
B.42%
C.44%
D.70%
Answer: D.70%
Explanation: Let's assume there are 100 reporters --> 18 reporters cover local politics.
Now, as 40% of the reporters who cover all politics do not cover local politics then the rest 60% of the reporters who cover politics do cover local politics, so if there are x reporters who cover politics then 60% of them equal to 18 (# of reporters who cover local politics): 0.6x=18 --> x=30, hence 30 reporters cover politics and the rest 100-30=70 reporters do not cover politics at all.
Answer: D.