RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. 64 percent of the distribution lies within one standard deviation d of the mean. If the shelf’s average life is 7.8 years and the standard deviation is 2.4 years, what percent of the distribution has more than 10.2 years as a shelf’s average life?
A.15%
B.16%
C.17%
D.18%
Answer: D.18%
Explanation: Average = 7.8
SD = 2.4
7.8 - 2.4 < 64% of distribution < 7.8 + 2.4
5.4 < 64% of distribution < 10.2
36% is outside this range.
Given: Distribution is symmetric. So 18% of distribution is less than 5.4 and the other 18% of distribution is greater than 10.2.
Answer: D
Question: By selling an article at Rs.600, a profit of 25% is made. Find its cost price?
A.322
B.480
C.287
D.192
Answer: B.480
Explanation: Explanation:
SP = 600
CP = (SP)*[100/(100+P)]
= 600 * [100/(100+25)]
= 600 * [100/125] = Rs.480
Answer: B
Question: If a committee of 2 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?
A.20
B.40
C.50
D.80
Answer: B.40
Explanation: Each couple can send only onerepresentativeto the committee. Let's see in how many ways we can choose 2 couples (as there should be 2 members) each to send onerepresentativeto the committee: 5C2=10.
But these 2 chosen couples can send two persons (either husband or wife): 2*2=2^2=4.
Total # of ways: 5C2*2^2=40.
Answer: B.
Question: In how many ways can a cricket eleven be chosen out of a batch of 15 players.
A.1365
B.1452
C.1204
D.4578
Answer: A.1365
Explanation: Required number of ways
= 15C 11 = 15C (15-11)
= 15C4
15C4 = 15 * 14 * 13 * 12 / 4 * 3 * 2 *1
= 1365
Ans: A
Question: Two persons start at the same point, walk in opposite directions with 6 km/hr and 6 km/hr respectively.
What is the distance separated after 3 and half hrs?
A.26.250 km
B.42 km
C.44 km
D.48 km
Answer: B.42 km
Explanation: As the two persons are moving in the opposite direction, so they will be separateed in 1 hour = 6 + 6 = 12 km.
They will be separated in 3.5 hours = 12 * 3.5 = 42 km
ANSWER:B
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
A.1
B.2
C.3
D.5
Answer: A.1
Explanation: DS = 6
US = 4
S = ?
S = (6 - 4)/2 = 1 kmph
Answer: A
Question: The length of rectangle is thrice its breadth and its perimeter is 72 m, find the area of the rectangle?
A.432
B.212
C.243
D.992
Answer: C.243
Explanation: 2(3x + x) = 72
l = 27 b = 9
lb = 27 * 9 = 243
Answer:C
Question: When a random experiment is conducted, the probability that event A occurs is 1/3. If the random experiment is conducted 5 independent times, what is the probability that event A occurs exactly twice?
A.5/243
B.25/243
C.64/243
D.80/243
Answer: D.80/243
Explanation: one case is:
1/3*1/3*2/3*2/3*2/3=2^3/3^5
we have 5!/2!*3!=10 such cases
so, 2^3*10/3^5=80/243
Answer: D.
Question: A man took loan from a bank at the rate of 12% p.a. S.I. After 20 years he had to pay Rs. 1500 interest only for the period. The principal amount borrowed by him was?
A.625
B.700
C.950
D.825
Answer: A.625
Explanation: Principal = (100 * 1500) / (12 * 20)
= Rs.625
Answer: A
Question: The 4 sticks in a complete bag of Pick-Up Sticks are all straight-line segments of negligible width, but each has a different length: 1 inch, 2 inches, 3 inches, and 4 inches, respectively. If Tommy picks a stick at random from each of 3 different complete bags of Pick-Up Sticks, what is the probability Z that Tommy CANNOT form a triangle from the 3 sticks?
A.11/32
B.13/32
C.15/32
D.17/32
Answer: C.15/32
Explanation: In order to form a triangle, the sum of two sides must be greater than the third side.
So we can choose the combination of numbers which will NOT result in a triangle.
Favorable outcomes:
1,1,4 (4>1+1): 3 ways of arriving at this (1,1,4), (1,4,1), (4,1,1) or
1,2,4 (4>1+2): 6 ways of arriving at this (1,2,4), (1,4,2), (2,1,4), (2,4,1), (4,1,2), (4,2,1) which is same as 3!
1,3,4 (4=1+3): 6 ways of arriving at this
2,2,4 (4=2+2): 3 ways of arriving at this
1,1,3 (3>1+1): 3 ways of arriving at this
1,2,3 (3=1+2): 6 ways of arriving at this
1,1,2 (2+1+1): 3 ways of arriving at this
Overall favourable outcomes: 30
Total outcomes: 4*4*4 = 64 (4 ways of choosing a stick from each of the 3 bags)
Probability Z that a triangle is not formed = 30/64 = 15/32
C is the correct option here.
Question: After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and the new member ?
A.10
B.11
C.22
D.15
Answer: D.15
Explanation: i) Let the ages of the five members at present be a, b, c, d & e years.
And the age of the new member be f years.
ii) So the new average of five members' age = (a + b + c + d + f)/5 ------- (1)
iii) Their corresponding ages 3 years ago = (a-3), (b-3), (c-3), (d-3) & (e-3) years
So their average age 3 years ago = (a + b + c + d + e - 15)/5 = x ----- (2)
==> a + b + c + d + e = 5x + 15
==> a + b + c + d = 5x + 15 - e ------ (3)
iv) Substituting this value of a + b + c + d = 5x + 15 - e in (1) above,
The new average is: (5x + 15 - e + f)/5
Equating this to the average age of x years, 3 yrs, ago as in (2) above,
(5x + 15 - e + f)/5 = x
==> (5x + 15 - e + f) = 5x
Solving e - f = 15 years.
Thus the difference of ages between replaced and new member = 15 years.
Answer: D
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required ?
A.88 feet
B.86 feet
C.84 feet
D.82 feet
Answer: A.88 feet
Explanation: Explanation:
We are given with length and area, so we can find the breadth.
as Length * Breadth = Area
=> 20 * Breadth = 680
=> Breadth = 34 feet
Area to be fenced = 2B + L = 2*34 + 20
= 88 feet
Answer: Option 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 $ 50 worth of diesel fuel?
A.20 seconds
B.2 minute 5 seconds
C.1 minute 20 seconds
D.20 minutes
Answer: B.2 minute 5 seconds
Explanation: 2 gal / 5 sec
$1.0 / gal
$50/$1.0 = 50 gal
2 gal / 5 sec with 50 gal = 125 sec
B. 2 minute 5 seconds
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 8 boys when a boy gets any no. of prizes?
A.3096
B.4092
C.8096
D.4096
Answer: D.4096
Explanation: Ans.(D)
Sol. In this case, repetitions are allowed, so all the three prizes can be given in 8 ways, i.e. (8 x 8 x 8) ways = 83 ways = 4096 ways Or nr ways = 83 ways = 4096 ways
Question: How many combinations of three letters taken from letters (a, a, b, b, c, c, d) are possible?
A.12
B.13
C.35
D.36
Answer: B.13
Explanation: Combinations only... total 13
So 4C3 for abcd - 4 choices
3 more for aa(b,c or d)
3 more for bb(a,c or d)
3 more for cc(a,b or d)
total 13
(Answer B)
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
A.4551
B.4771
C.4991
D.4881
Answer: C.4991
Explanation: Let the sale in the sixth month =x
Then (6435+6927+6855+7230+6562+x)/6 =6500
=> 6435+6927+6855+7230+6562+x =6×6500
=> 34009+x=39000
=> x=39000−34009=4991
Answer is C.
Question: A+B+C+D=D+E+F+G=G+H+I=17 given A=4. Find value of G and H?
A.2,9
B.3,9
C.1,9
D.4,9
Answer: C.1,9
Explanation: A+B+C+D=17
4+2+6+5=17
D=5
D+E+F+G=17
5+3+8+1=17
G=1
G+H+I=17
1+9+7=17
G=1,H=9.
ANSWER:C
Question: The length of the bridge, which a train 160 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
A.766 m
B.156 m
C.215 m
D.156 m
Answer: C.215 m
Explanation: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time
= 30 sec. Let the length of bridge be x meters. Then, (160 + X)/30 = 25/2
==> 2(160 + X) = 750 ==> X
= 215 m.
Answer: C
Question: The total weight of six nougat nuggets is 2 oz. What is the average (arithmetic mean) weight of one such nougat nugget?
A.0.33 oz.
B.0.5 oz.
C.1.8 oz.
D.5 oz.
Answer: A.0.33 oz.
Explanation: Average = Total/Number of items
= 2/6 = 0.33.
Hence, A
Question: The total of the ages of Amar, Akbar and Anthony is 45 years. What was the total of their ages three years ago ?
A.36
B.44
C.66
D.16
Answer: A.36
Explanation: Explanation:
Required sum = (45 - 3 x 3) years = (45 - 9) years = 36 years.
Answer: A
Question: Some of 50%-intensity red paint is replaced with 25% solution of red paint such that the new paint intensity is 45%. What fraction of the original paint was replaced?
A.1/30
B.1/5
C.2/3
D.3/4
Answer: B.1/5
Explanation: 45% is 20%-points above 25% and 5%-points below 50%.
Thus the ratio of 25%-solution to 50%-solution is 1:4.
1/5 of the original paint was replaced.
The answer is B.
Question: 8 persons can build a wall 140m long in 42 days. In how many days can 30 persons complete a similar wall 100 m long?
A.12
B.10
C.8
D.6
Answer: C.8
Explanation: Explanation :
More persons, less days(indirect proportion)
More length of the wall, more days(direct proportion)
⇒ 8 × 100 × 42 = 30 × 140 × x
⇒ x = (8 × 100 × 42)/(30 × 140) = (8 × 100 × 14)/(10 × 140) = (8 × 100)/(10 × 10) = 8. Answer : Option C
Question: If 35% of a number is 12 less than 50% of that number, then the number is?
A.40
B.50
C.60
D.80
Answer: D.80
Explanation: Let the number be x. Then,
50% of x - 35% of x = 12
50/100 x - 35/100 x = 12
x = (12 * 100)/15 = 80.
ANSWER:D
Question: The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?
A.2
B.4
C.6
D.5
Answer: D.5
Explanation: A + B + C = 48
B + C + D = 45
A + D = 13
A – D = 3
A + D = 13
2D = 10
D = 5
Question: An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is
A.4.04%
B.4.00%
C.4.14%
D.5.04%
Answer: A.4.04%
Explanation: 100 cm is read as 102 cm.
A1 = (100 x 100) cm2 and A2 (102 x 102) cm2.
(A2 - A1) = [(102)2 - (100)2]
= (102 + 100) x (102 - 100)
= 404 cm2.
Percentage error = 404 x 100 % = 4.04%
100 x 100
A
Question: If 8 workers can build 8 cars in 8 days, then how many days would it take 7 workers to build 7 cars?
A.4
B.7
C.8
D.12
Answer: C.8
Explanation: 8 workers can build 1 car per day on average.
1 worker can build 1/8 of a car per day.
7 workers can build 7/8 car per day.
The time required to build 7 cars is 7 / (7/8) = 8 days
The answer is C.
Question: 0, 1, 3, 6, 7, 9, 12, 13, 15, 18, ?.
What number should replace the question mark?
A.13
B.19
C.12
D.44
Answer: B.19
Explanation: B
19
The sequence progresses +1, +2, +3 repeated;
Question: If the speed of a man is 54 km per hour, then what is the distance traveled by him in 25 seconds ?
A.275m
B.360m
C.375m
D.420 m
Answer: C.375m
Explanation: The distance traveled in 25 sec = 54*(5/18) *25 =375m
ANSWER:C
Question: Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.
A.298 km
B.278 km
C.278 km
D.300 km
Answer: D.300 km
Explanation: Let the distance travelled be x km.
Total time = (x/2)/30 + (x/2)/25 = 11 => x/60 + x/50 = 11 => (5x + 6x)/300
= 11 => x
= 300 km
Answer:D
Question: 2^(15) + 2^(16) + 2^(17) + ... + 2^(44) + 2^(45) =
A.2^15(2^(29)-1)
B.2^15(2^(31)-1)
C.2^16(2^(25)-1)
D.2^12(2^(20)-1)
Answer: B.2^15(2^(31)-1)
Explanation: 2^(15) + 2^(16) + 2^(17) + ... + 2^(44) + 2^(45) =
2^(15)*(1+2+4+...+2^(30)) =
2^(15)*(2^(31) - 1)
The answer is B.
Question: What is the lowest possible common multiple Y of 2 distinct integers, each greater than 329?
A.330·331
B.330^2
C.33·331
D.660
Answer: D.660
Explanation: Lowest possible common multiple Y of 2 distinct integers will have to be multiple of the number greater than 329...which 330..
so one number will be 330...another one will be 660..
Ans is D.
Question: In a certain bathtub, both the cold-water and the hot-water fixtures leak. The cold-water leak alone would fill an empty bucket inchours, and the hot-water leak alone would fill the same bucket inhhours, wherec < h. If both fixtures began to leak at the same time into the empty bucket at their respective constant rates and consequently it tookthours to fill the bucket, which of the following must be true?
I. 0 < t < h
II. c/2 < t < h/2
III. c < t < h
A.a) I only
B.b) II only
C.c) III only
D.d) I and II
Answer: D.d) I and II
Explanation: I picked numbers for this problem
C = 2 hours
H = 3 hours
C<H
2 people working together formula is
1/C + 1/H = 1/t
1/2 + 1/3 = 1/t
t = 6/5 = 1.2
Substitute the values of C, H and t in the 3 choices given below
Only 1, 2 are valid.Therefore D is the best answer
Question: The cash difference between the selling prices of an book at a profit of 2% and 4% is $3. The ratio of the two selling prices is:
A.55:23
B.52:33
C.51:52
D.45:53
Answer: C.51:52
Explanation: Let C.P. of the book be $x.
Then, required ratio = 102% of x / 104% of x
= 102/104 = 51/52 = 51:52
C
Question: The average of 13 numbers is 15.8. If the average of the first seven numbers is 15.6 and that of the last seven numbers is 15.4,then the middle number is?
A.12.6
B.11.6
C.12.8
D.12.9
Answer: B.11.6
Explanation: Middle number = 15.6*7 + 15.4*7- 15.8*13 = 109.2+107.8-205.4=11.6
Answer is B
Question: A person can row at 9 kmph and still water. He takes 8 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
A.32
B.38
C.29
D.54
Answer: B.38
Explanation: Let the distance between A and B be x km.
Total time = x/(9 + 1) + x/(9 - 1) = 8.5
=> x/10 + x/8 = 17/2 => (4x + 5x)/40 = 17/2 => x
= 38 km.
Answer:B
Question: I brought 30 books on Mathematics, Physics, and Chemistry, priced at Rs.17, Rs.19, and Rs.23 per book respectively, for distribution among poor students of Standard X of a school. The physics books were more in number than the Mathematics books but less than the Chemistry books, the difference being more than one. The total cost amounted to Rs.620. How many books on Mathematics, Physics, and Chemistry could have been bought respectively?
A.5, 8, 17
B.5, 12, 13
C.5, 10, 15
D.5, 6, 19
Answer: C.5, 10, 15
Explanation: Explanation :
Given, Total amount=620 ( last digit is 0 ).
So find the last digit of product number of books and price of one book.
option 1, 7*5 + 9*8 + 3*7 = 5+2+1 = last digit 8 is not 0.
option 2, 7*5 + 9*2 + 3*3 = 5+8+9 = last digit is not 0.
option3, 5*7 + 10*9 + 5*5 = 5+0+5= last digit is 0.
option4, 5*7 + 6*9 + 3*9 = 5+4+7=6 last digit is not 0.
Hence, only 3rd option satisfy this condition.
Answer : C
Question: A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?
A.9%loss
B.3%loss
C.5%loss
D.7%loss
Answer: A.9%loss
Explanation: (30*30)/100
= 9%loss
Answer: A
Question: A can do a work in 9 days and B can do the same work in 18 days. If they work together, in how many days will they complete the work?
A.8
B.7
C.5
D.6
Answer: C.5
Explanation: One day's work of A and B
= 1/9 + 1/8
= (2+1)/18 = 1/6 So, the time taken to complete the work is 6 days.
Answer: C
Question: How many ways are there of placing 6 marbles in 4 bowls, if any number of them can be placed in each bowl?
A.6C4
B.6P4
C.4^6
D.6^4
Answer: C.4^6
Explanation: Each marble has 4 options, so there are total of 4*4*4*4*4*4=4^6 ways.
Answer: C.
Question: What is the greatest number that divides 263, 935 and 1383 leaving a remainder of 7 in each case ?
A.30
B.31
C.32
D.35
Answer: C.32
Explanation: Answer
The required greatest number is the HCF of 263-7, 935-7, 1383-7
i.e. 256, 928 and 1376 HCF = 32
Correct Option: C
Question: The number which exceeds 16% of it by 126 is :
A.150
B.52
C.58
D.60
Answer: A.150
Explanation: Solution
Solution
Let the number be x.
x-16% of x =126
x-16/100x =126
x-4/25x=126
21/25x=126
x=(126x25/21)= 150
Answer A
Question: IF 2+7=57 ; 3+6=63 ; 5+9=206 Then 4+8=?
A.125
B.126
C.127
D.128
Answer: D.128
Explanation: 2^3 + 7^2= 57
3^3 + 6^2=63
5^3 + 9^2=206
and
4^3 + 8^2=128
ANSWER:D
Question: In a group of 80 children and 20 youngsters, each child got sweets that are 15% of the total number of children and each youngster got sweets that are 25% of the total number of children. How many sweets were there?
A.1140
B.1360
C.1180
D.1200
Answer: B.1360
Explanation: Number of sweets each child got = 15% of 80 = 15/100 * 80 = 12.
Number of sweets 80 children got = 80 * 12 = 960.
Number of sweets each youngster got = 25% of 80 = 25/100 * 80 = 20.
Number of sweets 20 youngsters got = 20 * 20 = 400.
Total number of sweets = 960 + 400 = 1360.
B)
Question: The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary ?
A.3600
B.2988
C.2789
D.2887
Answer: A.3600
Explanation: Manager's monthly salary Rs. (1600 * 21 - 1500 * 20)
= Rs. 3600.
Answer: A
Question: An alloy contains tin and copper in the ratio of 4:5 . If tin has 20% impurity and copper has 58% , what is the avg impurity percentage ?
A.20%
B.41.1%
C.35%
D.38%
Answer: B.41.1%
Explanation: Total of 9 kgs.
Tin = 4Kgs; copper = 5Kgs
Impurity in tin = 0.2 * 4 = 0.8
Impurity in copper = 0.58 * 5 = 2.9
Avg impurity = (0.8 + 2.9)/(4+5) = 3.7/9 = ~41%
ANSWER:B
Question: Find the largest 4 digit number which isexactly divisible by 88?
A.8765
B.8907
C.9944
D.9954
Answer: C.9944
Explanation: Largest 4 digit number is 9999
After doing 9999 ÷ 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944
C
Question: A train moves with a speed of 72 kmph. Its speed in metres per second is
A.10.8
B.18
C.30
D.20
Answer: D.20
Explanation: Solution
Speed	= 72 Kmph
= (72 x 5/18)m/sec
= 20 m/sec.
Answer D
Question: A group of five people are weighed with the results as follows (in pounds): 135, 140, 165, 178, 199. If the weight of the heaviest person is increased by 9 pounds, which of the following statements best describes the change in the mean and the median of the weights?
A. The mean and the median will remain unchanged.
B. The mean will remain unchanged but the median will increase.
C. The mean will increase but the median will remain unchanged.
D. The mean and the median will increase by the same amount.
Answer: C. The mean will increase but the median will remain unchanged.
Explanation: Old set = {135, 140, 165, 178, 199}.
New set = {135, 140, 165, 178, 208} --> the median (middle term) will remain the same and the mean will increase.
Answer: C.
Question: Jack can row at 9 kmph and still water. He takes 6 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 3 kmph?
A.30 km
B.25 km
C.24 km
D.28 km
Answer: C.24 km
Explanation: Let the distance between A and B be x km.
Total time = x/(9 + 3) + x/(9 - 3) = 6
=> x/12 + x/6 = 6 => (x + 2x)/12 = 6 => x = 24 km.
ANSWER:C
Question: An article is bought for Rs.875 and sold for Rs.900, find the gain percent?
A.73 1/3%
B.63 1/3%
C.33 1/3%
D.2.8%
Answer: D.2.8%
Explanation: Explanation:
875 ---- 25
100 ---- ? => 2.8%
Answer:D
Question: A company X spent 1/5 of its investment on machinery and 1/3 of the remaining on the promotion of its product. How much fraction of the investment is the company left with after purchasing machinery and advertising?
A.2/10
B.8/15
C.4/6
D.3/5
Answer: B.8/15
Explanation: A company spent 1/5 of its investment on machinery, 4/5 is remaining
1/3 of the remaining investment is spent on advertising, 1/3*4/5=4/15
Total amount spent by the company for machinery and advertising is 1/5+4/15
To make the denominator common we use 15, 3/15
3/15+4/15=7/15 was the total amount spent by the company X for machinery and advertising.
Remaining is 8/15 of the investment is left with the company
Answer is B
Question: For any 6 given numbers, which of the following is always equivalent to adding the 3 numbers together and then dividing the sum by 3?
I. Ordering the 3 numbers numerically, from highest to lowest, and then selecting the middle number.
II. Dividing each of the numbers by 3 and then adding the results together.
III. Multiplying each number by 6, adding the resulting products together, and then dividing the sum by 9.
A.I only
B.II only
C.I and II only
D.II and III only
Answer: D.II and III only
Explanation: Let the 3 numbers be x, y and z.
Question: Which of the following is equivalent to (x + y + z)/3
I. Ordering the 3 numbers numerically, from highest to lowest, and then selecting the middle number. --> Not always equivalent Eg: 111 and 141
II. Dividing each of the numbers by 3 and then adding the results together. --> x/3 + y/3 + z/3 = (x + y + z)/3 --> Equivalent
III. Multiplying each number by 6, adding the resulting products together, and then dividing the sum by 9. --> (6x + 6y + 6z)/9 = 2(x + y + z)/3 --> Not equivalent
Answer: D
Question: In how many different ways can 3 identical orange hats and 3 identical purple hats be distributed among 6 children such that each child receives a hat?
A.215
B.20
C.997952
D.6169
Answer: B.20
Explanation: 1st Child: 6 has options
2nd Child: 5 has options…
Therefore, for all kids: 6 x 5 x 4 x 3 x 2 = 720 arrangements.
Since the orange are identical, we divide by 3!; Since the purple are identical, we divide by another 3!
So: in all, 720/[ 3! X 3! ] = 20 ways.
(e.g. Answer: B)
Question: If the volume of two cubes are in the ratio 27:8, the ratio of their edges is:
A.3:1
B.3:2
C.3:5
D.3:7
Answer: B.3:2
Explanation: Explanation:
Let the edges be a and b of two cubes, then
a3/b3=27/8
=>(a/b)3=(3/2)3
a/b=3/2
=>a:b=3:2
Option B
Question: A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.5 m and its walls are 5 cm thick. The thickness of the bottom is:
A.90 cm
B.5 dm
C.1 m
D.1.1 cm
Answer: B.5 dm
Explanation: Explanation:
Let the thickness of the bottom be x cm.
Then , [(330 - 10) × (260 - 10) × (150 - x)] = 8000 × 1000
=> 320 × 250 × (150 - x) = 8000 × 1000
=> (150 - x) = 8000×1000/320=
100
=> x = 50 cm = 5 dm.
Answer: B
Question: If a = -0.6, which of the following is true?
A.a < a^2 < a^3
B.a < a^3 < a^2
C.a^2 < a < a^3
D.a^3 < a < a^2
Answer: B.a < a^3 < a^2
Explanation: a=-0.6;
a^2=0.36;
a^3=-0.216;
Answer : B
Question: Robin is traveling from one end of a forest to the other. In order to find his way back, he is leaving morsels of bread in the following pattern: 2 morsels of waffle, 3 morsels of rye, and 1 morsel of white. The pattern repeats after he leaves the morsel of white. If Robin drops 2,000 morsels of bread, what are the last 3 morsels of bread that he drops?
A.white − waffle − waffle
B.waffle − waffle − rye
C.rye − white − waffle
D.rye − rye − rye
Answer: A.white − waffle − waffle
Explanation: In a single round Robin drops 6 morsels.
Remainder (2000/6) = 2
Final action = 2 drops of waffle --> Options B, C, D and E can be eliminated
Answer: A
Question: The average of 35 numbers is 25. If each number is multiplied by 5, find the new average?
A.125
B.189
C.297
D.267
Answer: A.125
Explanation: Sum of the 35 numbers = 35 * 25 = 875
If each number is multiplied by 5, the sum also gets multiplied by 5 and the average also gets multiplied by 5.
Thus, the new average = 25 * 5
= 125.
Answer:A
Question: What is the product of all positive factors of 15?
A.225
B.324
C.1521
D.3042
Answer: A.225
Explanation: Positive factors of 15 are 1, 3, 5, 15.
So the product is: 15*5*3 = 225.
Answer: A
Question: Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 20 km/hr. For how many minutes does the bus stop per hour?
A.22
B.88
C.77
D.40
Answer: D.40
Explanation: In 1hr, the bus covers 60 km without stoppages and 20 km with stoppages.
Stoppage time = time take to travel (60 - 20) km i.e 40 km at 60 km/hr.
stoppage time = 40/60 hrs = 40 min.
Answer: D
Question: 10 play kabadi, 20 play kho kho only, 5 play both gmaes. Then how many in total?
A.30
B.35
C.38
D.40
Answer: A.30
Explanation: 10 play kabadi =>n(A)=10,
5 play both gmaes.=> n(AnB)=5
20 play kho kho only,=>n(B)=n(B only)+n(AnB)=20+5=25
Total => n(AUB)= n(A)+n(B)-n(AnB)
= 10+25-5
= 30
ANSWER:A