RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The area of Circle O is added to its diameter. If twice the circumference of Circle O is then subtracted from this total, the result is 8. What is the radius of Circle O?
A.2/π
B.2
C.3
D.4
Answer: D.4
Explanation: area+diameter-2*circumference=8
pi*r^2+2r=8+2*2pi*r
isolate r and get r(pi*r+2)=8+4pi*r
r=(8+4pi*r)/(pi*r+2) =>4(pi*r+2)/(pi*r+2)
r=4
D
Question: A set of data consists of the following 9 numbers: 0, 2, 4, 6, and 8. Which two numbers, if added to create a set of 7 numbers, will result in a new standard deviation that is close to the standard deviation for the original 5 numbers?
A.-1 and 9
B.4 and 4
C.3 and 5
D.2 and 6
Answer: A.-1 and 9
Explanation: If you are in for some calculations , this is how I got to it
mean = 4
sd = \sqrt{8} = 2.8
Expected values for the SD to not change are - One value below SD from mean is (4 - 2.8) = 1.2 , and one value above SD is (4 + 2.8) = 6.8
This would mean , adding 1.2 ans 6.8 would have no impact on the SD . SD remains the same when these two numbers are added. Now for SD to change the least , we need to add two values that are closest to these two values.
Hence any two values that are closest to 1.2 and 6.8 would change the SD , the least.
1. -1 , 9
distance between (1,9) and (1.2 and 6.8) is 2.2 and 2.2
2. 4 , 4
distance etween (4,4) and (1.2 , 6.8) is 2.8 and 2.8
3. 3 , 5
Distance is - 1.8 and 1.8
4. 2 , 6
Distance is - 0.8 and 0.8
5. 0 , 8
Distnace is - 1.2 and 1.2
Hence from above , we see that adding -1 and 9 , results in a value that would change the SD to the least. Hence A
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.10 of money?
A.1500
B.1992
C.9921
D.1000
Answer: D.1000
Explanation: P = 10(100/10)2
=> P = 1000
Answer: D
Question: Which is the middle even number between 1 and 9?
A.10
B.25
C.5
D.8
Answer: C.5
Explanation: 1+x = 9-x
2 x = 8
X = 4
Now 1+x = 5
ANSWER:C
Question: A person lent a certain sum of money at 5% per annum at simple interest and in 8 years the interest amounted to $480 less than the sum lent. What was the sum lent?
A.700
B.800
C.900
D.1000
Answer: B.800
Explanation: P - 480 = (P*5*8)/100
P = 800
The answer is B.
Question: If, 4 years ago, Jamie was half as old as he is now, how old will he be in x years?
A.x + 10
B.x + 5
C.x + 8
D.x – 5
Answer: C.x + 8
Explanation: let his age be a. a-4=a/2 hence a=8. 8 years hence, a =x+8
Answer C
Question: Multiply: (x-4)(X+5)
A.xpower2 + 5x-20
B.xpower2 - 4x - 20
C.xpower2 - x - 20
D.xpower2 + x - 20
Answer: D.xpower2 + x - 20
Explanation: (x-4)(x+5)=x(X+5)-4(x+5), = xpower2 + 5x - 4x - 20, =xpower2 + x - 20 . the correct answer : (D)
Question: A train 100 m long crosses a platform 125 m long in 15 sec; find the speed of the train?
A.55 kmph
B.52 kmph
C.57 kmph
D.54 kmph
Answer: D.54 kmph
Explanation: D
54 kmph
D = 100 + 125 = 225
T = 15
S = 225/15 * 18/5 = 54 kmph
Question: Andrew earns $2000 a month from his job. His income increased and now makes $2125 a week. What is the percent increase?
A.6.25%
B.5.25%
C.7.25%
D.4.25%
Answer: A.6.25%
Explanation: Increase = (125/2000)*100 = (1/16)*100 = 6.25%.
A
Question: In a kilometer race, If A gives B a 40m start, A wins by 19sec. But if A gives B a 30 sec start, B wins by 40 m. Find the time taken by B to run 5,000m?
A.2275
B.2375
C.2475
D.2575
Answer: B.2375
Explanation: Let A travells 1000m in x sec and b in (x+19)sec
Therefore, speed of B is 1000/(x+19)
B travel 960m in x sec from here equation of speed=960/x
speed of B is constant so boht the speed equation for B are equal
960/x = 1000/(x+19)
On solving we get x=456sec
Time taken by B for 5000m : 5000/(960/456)=2375
ANSWER:B
Question: In a certain warehouse, 70 percent of the packages weigh less than 75 pounds, and a total of 48 packages weigh less than 25 pounds. If 80 percent of the packages weigh at least 25 pounds, how many of the packages weigh at least 25 pounds but less than 75 pounds?
A.8
B.64
C.120
D.102
Answer: C.120
Explanation: If 80% of the packages weigh at least 25 pounds
This means that 20% of the packages weigh LESS THAN 25 pounds
Let T = TOTAL number of packages
So, 20% of T = # of packages that weigh LESS THAN 25 pounds
48 packages weigh LESS THAN 25 pounds
GREAT. So, 20% of T = 48
Rewrite to get: 0.2T = 48
Solve:T = 240
70% of the packages weigh less than 75 pounds
So, 70% ofT= number of packages that weigh less than 75 pounds
70% of240=168, so168packages weigh less than 75 pounds
OF THOSE168packages that weigh less than 75 pounds,48packages weigh less than 25 pounds.
So, the number of packages that weight BETWEEN 25 and 75 pounds =168-48= 120 = C
Question: What is the ratio between perimeters of two squares one having 8 times the diagonal then the other?
A.3: 6
B.3: 3
C.3: 8
D.8: 1
Answer: D.8: 1
Explanation: d = 8d d = d
a√2 = 8d a√2 = d
a = 8d/√2 a = d/√2 => 8: 1
Answer: D
Question: At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
A.7%
B.9%
C.4 percent
D.2%
Answer: C.4 percent
Explanation: 150 = (750*5*R)/100
R = 4%
Answer: C
Question: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 150 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
A.110
B.146
C.152
D.162
Answer: A.110
Explanation: The probability of survival for each of the first 3 months of life is 1-1/10=9/10, so of 150 newborn 150*9/10*9/10*9/10=~110 is expected to survive.
Answer: A.
Question: If Albert’s monthly earnings rise by 26%, he would earn $693. If, instead, his earnings rise by only 20%, how much (in $) would he earn this month?
A.643
B.652
C.660
D.690
Answer: C.660
Explanation: =693/1.26∗1.2
=660=660
Answer is C
Question: If a and b are prime numbers, which of the following CANNOT be the sum of a and b?
A.5
B.9
C.23
D.16
Answer: C.23
Explanation: All answer choices but C are odd. In order odd number to be the sum of two prime numbers one must be even, so 2, and another odd.
Now, 23=2+21. Since 21 is not a prime then 23 cannot be written as the sum of two prime numbers.
Answer: C
Question: A = {0, 1, 3, 6, -8}
B = {-1, 2, -4, 7,-5}
If a is a number that is randomly selected from Set A, and b is a number that is randomly selected from Set B, what is the probability that ab > 0?
A.1/4
B.1/3
C.2/5
D.9/25
Answer: D.9/25
Explanation: For the product of 2 numbers to be positive either both of them must be positive or both of them must be negative:
P(positive, positive) = 3/5*2/5 = 6/25;
P(negative, negative) = 1/5*3/5 = 3/25.
P = 6/25 + 3/25
= 9/25
Answer: D
Question: The profit earned by selling an article for Rs 900 is double the loss incurred when the same article is sold for Rs.490. At what price should the article be sold to make 25% profit?
A.136
B.187
C.600
D.750
Answer: D.750
Explanation: Explanation:
Let C.P be Rs. x
900 - x = 2(x - 450)
=> x = Rs.600
C.P = 600 gain required is 25%
S.P = [(100+25)*600]/100
= Rs.750
Answer: D
Question: Ten years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 10 years more than the present age of Anand. Find the present age of Anand?
A.12
B.13
C.14
D.15
Answer: D.15
Explanation: Let the present ages of Anand and Bala be 'a' and 'b' respectively.
a - 10 = 1/3 (b - 10) --- (1)
b = a + 10
Substituting b = a + 12 in first equation,
a - 10 = 1/3 (a + 0) => 3a - 30 = a
=> 2a = 30=> a = 15.
ANSWER:D
Question: A group of men can complete a job in X hours. After every 4 hours, half the number of men working at that point of time leave the job. Continuing this way if the job is finished in 16 hours, what is the value of X.
A.5.5 days
B.6.5 days
C.7.5 days
D.8.5 days
Answer: C.7.5 days
Explanation: If there are m men
job requires mX man hours.
job completed in first 4 hrs = m*4 =4m
job completed in next 4 hrs = 4*m/2 = 2m
job completed in next 4 hrs = 4.m/4 = m
job completed in last 4 hrs = 4.m/8= m/2
4m+2m+m+m/2 = mX
x= 7+1/2 = 7.5 days
ANSWER:C
Question: Mary completes a piece of work in 160 days, Rose completes the same work in 240 days. If both of them work together, then the number of days required to complete the work is?
A.92
B.94
C.96
D.98
Answer: C.96
Explanation: If A can complete a work in x days and B can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days.
That is, the required No. of days = 160 × 240/400 = 96 days
Answer is C
Question: David paid $5,000 for 100 shares of stock X and $3,000 for 100 shares of stock Y. He later sold the same shares of both stocks, gaining 3/8 the amount he paid for stock Y. If the prices he had paid for the stocks had been reversed and everything else remained the same, then the net result would have been:
A.A gain 1.67 times as much.
B.A loss 2 times as much
C.A loss 3 times as much
D.A loss 1.5 times as much
Answer: A.A gain 1.67 times as much.
Explanation: A = 5000; B = 3000; Profit = (3/8)*3000 = 1125
After prices are reversed:
A = 3000; B =5000; Profit = (3/8)*5000 =1875
1875 --> Gain of 1.67 times 1125
Answer: A
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 4 hours?
A.675
B.900
C.1,800
D.5,900
Answer: B.900
Explanation: 8 machines/ 360 cans = 5 machines/ x cans
8x= 1800
x=225
(225)(4 hours)= 900 cans. The answer is B.
Question: The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?
A.Rs.8790
B.Rs.8721
C.Rs.8891
D.Rs.8768
Answer: B.Rs.8721
Explanation: Actual price = 95% of 90% of 85% of Rs. 12000
= 95/100 * 90/100 * 85/100 * 12000
= Rs.8721.
Answer: B
Question: John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?
A.1
B.3
C.4
D.5
Answer: A.1
Explanation: If he draws any combination of 3 socks he will definitely have the matching pair of either colour.
A
Question: A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
A.8
B.7
C.9
D.6
Answer: A.8
Explanation: Let B joined for x months. Then
85000×12:42500×(x)=3:1
⇒850×12:425x=3:1
⇒850×12×1=3×425x
⇒850×4=425x
⇒x=8
Answer is A.
Question: A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs.3200, A will get:
A.Rs.1200
B.Rs.1500
C.Rs. 1920
D.Rs.2000
Answer: C.Rs. 1920
Explanation: Explanation:
Ratio of working days of A : B = 10 : 15
Therefore, their wages ratio = reverse ratio = 15 : 10
Therefore, A will get 15 units of ratio
Total ratio = 25
1 unit of ratio =3000/25 = 128
So, A’s amount = 120 × 15 = Rs.1920.
Answer: Option C
Question: Priya covers journey from kavali to nellore by car at average speed of 70 Km/hr. She returns back by scooty with an average speed of 40 Km/hr. Find her average speed during the whole journey?
A.50 Km/hr
B.50.90 Km/hr
C.50.95 Km/hr
D.52 Km/hr
Answer: B.50.90 Km/hr
Explanation: Explanation:
Average speed = 2 xy/x+y
= 2*70*40/110
= 50.90 Km/hr
Answer: Option B
Question: A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?
A.12/15
B.37 1/2
C.3/7
D.4/9
Answer: B.37 1/2
Explanation: Explanation :
Work done by A in 20 days = 80/100 = 8/10 = 4/5
Work done by A in 1 day = (4/5) / 20 = 4/100 = 1/25 --- (1)
Work done by A and B in 3 days = 20/100 = 1/5 (Because remaining 20% is done in 3 days by A and B)
Work done by A and B in 1 day = 1/15 ---(2)
Work done by B in 1 day = 1/15 – 1/25 = 2/75
=> B can complete the work in 75/2 days = 37 ½ days
ANSWER:B
Question: In a games hour 4 different types of players came to the ground? cricket 15, hokey 12, football 13, softball 15. How many players are present in the ground?
A.70
B.52
C.55
D.49
Answer: C.55
Explanation: total number of players= 15+12+13+15= 55
Answer is C
Question: Bucket P has thrice the capacity as Bucket Q. It takes 60 turns for Bucket P to fill the empty drum. How many turns it will take for both the buckets P&Q, having each turn together to fill the empty drum?
A.45
B.53
C.54
D.46
Answer: A.45
Explanation: If caoacity of Q is x units, then capacity of P is 3x and capacity of drum is 60*3x = 180 x.
It will take 180x/4x = 45 turns it will take for both the buckets P&Q, having each turn together to fill the empty drum.
ANSWER:A
Question: Find the lowest positive integer that can be divided by all the even numbers between 14 and 21.
A.4581
B.5040
C.3682
D.1231
Answer: B.5040
Explanation: The even numbers between 14 and 21 are 14,16,18,20.
Find the LCM of these numbers
LCM=2^4*7*3^2*5
The answer is B)
Question: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
A.101
B.209
C.301
D.405
Answer: B.209
Explanation: Required number of ways = 6C1*4C3 + 6C2*4C2 + 6C6*4C1 + 6C4
= 24+90+80+15
= 209
Answer is B
Question: In a recent election, Geoff received 15 percent of the 6,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 3,571 more votes to win the election, what is the value of x ?
A. 74.5
B. 54
C. 56
D. 60
Answer: A. 74.5
Explanation: Word problems are tricky in somehow more than other problem because you have the additional step to translate.
Breaking the problem: Geoff how many votes he receives ?? 900 votes
he needs 3571 more votes so : 900+3571= 4471
Now what's the problem wants ?? a x %........4471 is what % of total votes 6000........translating: 4471 = x/100 * 6000 ---
x= 74.5 %..........A
Question: How many positive integers less than 6,000 are there in which the sum of the digits equals 5?
A.65
B.62
C.61
D.56
Answer: D.56
Explanation: Basically, the question asks how many 4 digit numbers (including those in the form 0XXX, 00XX, and 000X) have digits which add up to 5. Think about the question this way: we know that there is a total of 5 to be spread among the 4 digits, we just have to determine the number of ways it can be spread.
Let X represent a sum of 1, and | represent a seperator between two digits. As a result, we will have 5 X's (digits add up to the 5), and 3 |'s (3 digit seperators).
So, for example:
XX|X|X|X = 2111
||XXX|XX = 0032
etc.
There are 8C3 ways to determine where to place the separators. Hence, the answer is 8C3 = 56.
D
Question: An old priest fell on a bottom of the well of a church.
The well is 20 inches deep.
At day time, the old priest climbs 5-inches but when at dark he slip back 4 inches.
In how many days priest will come out of the well ?
A.15-days
B.16-days
C.17-days
D.18-days
Answer: B.16-days
Explanation: Solution:
16-days
In 15-days, he will climb 15-inch and when he climbs 5 inch more, he will be out of the well
Answer B
Question: A merchant purchased a jacket for $42 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 30 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
A. $0
B. $3
C. $6
D. $12
Answer: C. $6
Explanation: Actual Cost = $42
SP = Actual Cost + Mark up
= Actual Cost + 30% SP
= 42*100/70
on sale SP = 80/100(42*100/70) = 48
Gross profit = $6
Answer is C
Question: What is the greater of the two numbers whose product is 2560, given that the sum of the two numbers exceeds their difference by 32?
A.A)90
B.B)100
C.C)160
D.D)70
Answer: C.C)160
Explanation: Let the greater and the smaller number be g and s respectively.
gs = 2560
g + s exceeds g - s by 32 i.e., g + s - (g - s) = 32
i.e., 2s = 32 => s = 16
g = 2560/s = 160.
ANSWER:C
Question: A team scored a total of 84 points. If each player on the team scored at least 14 points, then what is the greatest possible number of players on the team?
A.A)6
B.B)7
C.C)8
D.D)9
Answer: A.A)6
Explanation: 84/14=6 plus remainder.
The answer is A.
Question: If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:
A.4 days
B.5 days
C.6 days
D.7 days
Answer: A.4 days
Explanation: Explanation:
Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y.
Then, 6x + 8y =	1/10and 26x + 48y =	1/2
Solving these two equations, we get : x =	1/100 and y =	1/200
(15 men + 20 boy)'s 1 day's work =15/100 + 20/200 = 1/4
15 men and 20 boys can do the work in 4 days.
ANSWER IS A
Question: A wildlife preserve is being planned for 5,000 rhinoceroses. The preserve is to contain a total of 10,000 acres of watering area, plus 100 acres of grazing area for each rhinoceros. If the number of rhinoceroses is expected to increase by 10 percent, how many thousand acres should the preserve have in order to provide for the increased population?
A. 340
B. 560
C. 320
D. 310
Answer: B. 560
Explanation: Number of rhinos = 5000
Watering area = 10,000 acres
Number of rhino to increase by 10 percent ,then number of rhino = 5500
Grazing area for a rhino = 100
Total grazing area for 5500 rhinos= 5500 * 100 = 5,50,000
Total area required for the wildlife preserve = 5,50,000 + 10,000 = 5,60,000 = 560 * 1000
Answer B
Question: Average expenditure of a person for the first 3 days of a week is Rs. 340 and for the next 4 days is Rs. 420. Average expenditure of the man for the whole week is:
A.350
B.370
C.380
D.430
Answer: C.380
Explanation: Explanation:
Assumed mean = Rs. 340
Total excess than assumed mean = 4 × (Rs. 420 - Rs. 350) = Rs. 280
Therefore, Increase in average expenditure = Rs. 280/7 = Rs. 40
Therefore, Average expenditure for 7 days = Rs. 340 + Rs. 40 = Rs. 380
Correct Option: C
Question: Two cars cover the same distance at the speed of 50 and 45 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car?
A.278
B.277
C.960
D.600
Answer: D.600
Explanation: 50(x + 1) = 45 x
X = 10
60 * 10 = 600 km
Answer:D
Question: Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is ?
A.1/8
B.1/7
C.1/0
D.1/2
Answer: B.1/7
Explanation: A leap year has 52 weeks and two days
Total number of cases = 7
Number of favourable cases = 1
i.e., {Saturday, Sunday}
Required Probability = 1/7
Answer:B
Question: In a queue, Shankar is ninth from the rear end. Althaf's place is eighth from the front. Nitu is standing between the two. What could be the minimum numbers of boys standing in the queue ?
A.18
B.14
C.22
D.24
Answer: B.14
Explanation: Explanation:
1 2 3 4 5 6(Shankar) 7(Nitu) 8(Althaf) 9 10 11 12 13 14
Here, Althaf is 8th from front, Shankar is 9th from rear end and Nitu is between them
So minimum no. of boys standing in the queue = 14
Answer IS B
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 20% from the list price. It may be sold at a profit of 25% on the cost price?
A.62.5
B.62.3
C.62.7
D.74.2
Answer: D.74.2
Explanation: CP = 47.50
SP = 47.50*(125/100)
= 59.375
MP*(80/100)
= 59.375
MP = 74.2
Answer:D
Question: In how many different number of ways 5 men and 3 women can sit on a shopa which can accommodate persons?
A.200
B.210
C.230
D.56
Answer: D.56
Explanation: 8p2 = 8 X 7 = 56
D)
Question: Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?
A.56
B.28
C.20
D.72
Answer: C.20
Explanation: 1/x + 1/(x + 10) = 1/12
x = 20
Answer: C
Question: A Train usually travels at a speed of 72 kmph crossing a pole in 7 sec, what would be the length of the train?
A.140 m
B.142 m
C.146 m
D.152 m
Answer: A.140 m
Explanation: Explanation:
D = 72 * 5/18 * 7 = 140 m
Answer: Option A
Question: A team won 40 percent of its first 30 games in a particular season, and 80 percent of its remaining games. If the team won a total of 60 percent of its games that season, what was the total number of games that the team played?
A.50
B.60
C.70
D.80
Answer: B.60
Explanation: 60% is 20%-points above 40% and 20%-points below 80%.
Thus the ratio of "the first 30 games" to "remaining games" is 1:1.
So the team played a total of 30+30 = 60 games.
The answer is B.
Question: $500 will become $1000 in 3 years find the rate of interest?
A.A)10%
B.B)20%
C.C)25%
D.D)33.33%
Answer: D.D)33.33%
Explanation: SI = simple interest = A-P = 1000-500 = $300
R = 100SI/PT = 100*500/500*3 =33.33%
Answer is D
Question: If M is the mean of x,y,z ; then what is the mean of x+20,y+20 and z+20
A.M
B.3M
C.10M
D.M+20
Answer: D.M+20
Explanation: If each number is shifted up by 20, the mean also shifts up by 20 since it stays in the middle. The whole set is shifted on the number line so mean will also shift by the same amount.
So new mean is M + 20.
Answer (D)
Question: 5 times the side of a square resulted in a parameter of 20x. What is the parameter before it was timed by 5?
A.4x
B.5x
C.10x
D.40x
Answer: A.4x
Explanation: The new parameter is 5 times the old parameter. The old parameter is therefore 20x/5. This is 4x. Answer option A.
Question: Mike and his friend are going on a road trip and hoping to miss traffic. If they are driving at a rate of 6 miles per minute, what is their speed in kilometers per hour? [1km = 0.6 miles]
A.60
B.30
C.300
D.600
Answer: D.600
Explanation: To calculate the equivalent of kilometres in a mile
6 miles = 6*(0.6)^-1 = 10 kilometres
In 1 hour there are 60 minutes
Speed in kmph = 10 * 60 = 600
Correct answer - D
Question: Find the smallest positive integer n such that 11n - 1 is divisible by 105.
A.3
B.4
C.5
D.6
Answer: D.6
Explanation: The last digit of 11n − 1 is 0, so 5 always divides 11n − 1. Also, checking the
remainders when the powers of 11 are divided by 3 and 7 we get that 3 divides 11n −1
exactly when n is even, and 7 divides 11n − 1 exactly when 3 divides n.
correct answer D
Question: A sum of money placed at C.I. interest doubles itself in 5 years. It will amount to eight times itself at the same rate of interest in?
A.22
B.28
C.15
D.18
Answer: C.15
Explanation: Explanation:
P(1 + R/100)5 = 2P => (1 + R/100)5 = 2
Let P(1 + R/100)n = 8P
=> (1 + R/100)n = 8 = 23 = {(1 + R/100)5}3
=> (1 + R/100)n = (1 + R/100)15 => n = 15 Required time = 15 years.
Answer: C
Question: A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
A.299
B.297
C.261
D.280
Answer: D.280
Explanation: 80* 7: x* 3 = 1:1 1/2
560: 3x = 2: 3
x = 280
Answer: D
Question: What is the greatest possible (straight line) distance, between any two points on a hemisphere of radius 3?
A.6
B.0.6
C.n/6
D.6.2
Answer: A.6
Explanation: Maximum distance straight line is diameter
d = 2r = 6..
ANS option A.
Question: A truck covers a distance of 288 km at a certain speed in 8 hours. How much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 90 km more than that travelled by the truck ?
A.6 hours
B.5 hours
C.7 hours
D.8 hours
Answer: C.7 hours
Explanation: Explanation :
Speed of the truck = Distance/time = 288/8 = 36 kmph
Now, speed of car = (speed of truck + 18) kmph = (36 + 18) = 54 kmph
Distance travelled by car = 288 + 90 = 378 km
Time taken by car = Distance/Speed = 378/54 = 7 hours.
Answer –C
Question: A snail, climbing a 20 feet high wall, climbs up 8 feet on the first day but slides down 4 feet on the second. It climbs 8 feet on the third day and slides down again 4 feet on the fourth day. If this pattern continues, how many days will it take the snail to reach the top of the wall?
A.7
B.16
C.17
D.20
Answer: A.7
Explanation: total transaction in two days = 8-4 = 4 feet
in 7 days it will climb 20 feet
thus reaching the top
therefore , total no of days required =7
A