RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If S is the sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, which of the following is less than S?
I. 1/8
II. 1/9
III. 1/10
A.None
B.I only
C.III only
D.II and III only
Answer: C.III only
Explanation: Since we summarize the reciprocals from 100 to 91, we can say also that we add ten numbers who are all (with one exception 1/100) greater than 1/100, so that the sum must be greater than 1/10.
On the other side we can say that we add the reciprocals from 91 to 100, so that the sum has to be less than the sum of ten times 1/91.
We can conclude that the sum has to be less than 1/9 but more than 1/10. That leaves us C as the only possible answer.
Question: A cistern 9m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
A.49 m2
B.50 m2
C.53.5 m2
D.68.5 m2
Answer: D.68.5 m2
Explanation: Area of the wet surface	= [2(lb + bh + lh) - lb]
= 2(bh + lh) + lb
= [2 (4 x 1.25 + 9 x 1.25) + 9 x 4] m2
= 68.5 m2.
Answer: Option D
Question: A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?
A.20
B.30
C.37
D.40
Answer: A.20
Explanation: There are three ladies and five gentlemen and a committee of 5 members to be formed.
Number of ways such that two ladies are always included in the committee
= ⁶C₃ = (6 * 5 * 4)/6 = 20.
Answer:A
Question: A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
A.12288
B.12800
C.27636
D.19287
Answer: B.12800
Explanation: Explanation:
16*8: x*4 = 5:2
x = 12.8 => Rs.12800
Answer: B
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 252 runs?
A.6.25
B.6.22
C.5.5
D.6.39
Answer: C.5.5
Explanation: Required run rate
= [252 - (3.2 * 10)]/40
= 220/40
= 5.5
Answer: C
Question: A bag contains 14 wool scarves, exactly one of which is red and exactly one of which is green. If Deborah reaches in and draws three scarves, simultaneously and at random, what is the probability that she selects the red scarf but not the green scarf?
A.2/15
B.11/23
C.18/121
D.33/182
Answer: D.33/182
Explanation: Total possible ways to choose three scarves is 14C3 = 364
We need to choose the red scarf and two of 12 other scarves (not the green scarf).
The number of successful possibilities is 12C2 = 66
P(red scarf but not green scarf) = 66/364 = 33/182
The answer is D.
Question: Rs.630/- distributed among A,B and C such that on increasing their shares by RS.10,RS.5 and RS.15 respectively, The balance money would be divided among them in the ratio 3:4:5. Then, A’s share is:?
A.Rs.155
B.Rs.145
C.Rs.150
D.Rs.140/-
Answer: D.Rs.140/-
Explanation: A:B:C = 3:4:5
Total parts = 12
A's share is = 3 parts
12 -----> Rs.600/-
3 -----> Rs.150/-
A's total = 150 - 10 = Rs.140/-
D)
Question: Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence?
A.22
B.27
C.96
D.51
Answer: D.51
Explanation: Let the present ages of A, B and C be a, b and c respectively.
Given, [(a - 5) + (b - 5)] / 2 = 40 => a + b = 90 --- (1)
(b + c)/2 = 48 => b + c = 96 --- (2)
From (1) and (2), we cannot find b.
Answer:D
Question: Two persons start running simultaneously around a circular track of length 200 m from the same point at speeds of 10 km/hr and 15 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
A.28 sec
B.19.2 sec
C.17 sec
D.23 sec
Answer: B.19.2 sec
Explanation: Time taken to meet for the first time anywhere on the track
= length of the track / relative speed
= 200 / (10 + 15)5/18 = 300* 18 / 25 * 5 = 19.2 seconds.
Answer : B
Question: A car covers a distance of 1728 km in 6 hours. Find its speed?
A.104
B.288
C.271
D.276
Answer: B.288
Explanation: 1728/6 = 288 kmph
Answer: B
Question: a renowned battery sells six different-sized wedding cakes. Each cake costs x dollars more than the next one below it in size, and the price of the largest cake is $24.50. If the sum of the prices of the six different cakes is $109.50, what is the value of x?
A. 1.50
B. 1.75
C. 2.00
D. 2.50
Answer: D. 2.50
Explanation: Since the price of the largest cake (6th) is $24.50, then the price of the smallest cake (1st) is $(24.50-5x). Now, the prices of the cakes are evenly spaced so the sum of the prices is (average price)*(# of cakes)=(first+last)/2*(# of cakes). So, (24.50-5x+24.50)/2*6=109.50 --> x=2.5.
Answer: D.
Question: Fifteen more than three times a number is the same as ten less than six times the
number. What is the number
A.20/2
B.15/4
C.30/5
D.25/3
Answer: D.25/3
Explanation: 3x+15 First, addition is built backwards
6x−10 Then, subtraction is also built backwards
3x+15=6x−10 Is between the parts tells us theymust be equal
−3x −3x Subtract 3x so variable is all on one side
15=3x−10 Nowwe have a two−step equation
+10 +10 Add 10 to both sides
25=3x The variable ismultiplied by 3
3 3 Divide both sides by 3
25/3=x Our number is
25/3
correct answer D
Question: Mandrake has to choose from 4 from 10 people. There are 3 girls, 5 boys , 2 children. What is total probability that he will choose 1G , 2B , 1C?
A.1/7
B.2/7
C.3/7
D.4/7
Answer: B.2/7
Explanation: (3C1 * 5C2 * 2C1)/ 10C4 = 3*10*2/210 = 60/210=2/7
ANSWER:B
Question: Maddie has 48 apples, if she give 22 to mike, how many does she have left?
A.12
B.21
C.26
D.22
Answer: C.26
Explanation: 48-22=26
C. 26
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
A.3/7
B.3/2
C.3/5
D.3/1
Answer: B.3/2
Explanation: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23
==> 27 x + 17 y = 23 x + 23 y ==> 4 x = 6 y ==> x/y
= 3/2.
Answer: B
Question: The sume of the ages of a father and his son is 45 years.Five years ago,the product of their ages was 34 .The ages of the son and the father are respectively :
A.6 and 39
B.7 and 38
C.9 and 36
D.11 and 34
Answer: A.6 and 39
Explanation: Solution
Let the ages of father and son be x and (45 - x) years respectively.
Then,(x - 5)(45 - x - 5)=34 ⇔ (x - 5) (40 - x)=34 ⇔x2 - 45x + 234 = 0
⇔ (x - 39)(x - 6)= 0 ⇔ x = 39 or x =6.
∴ Father's age = 39 years and son's age =6 years. Answer A
Question: Divide Rs. 5500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 1/5 as A and C together. A's share is?
A.1227
B.1268
C.1375
D.1200
Answer: C.1375
Explanation: A+B+C = 5500
A = 1/3(B+C); B = 1/5(A+C)
A/(B+C) = 1/3
A = 1/4 * 5500 => 1375
Answer: C
Question: There are 2 sections with 4 questions each. If three questions are selected from each section, the chance of getting different questions is________
A.10
B.214
C.300
D.216
Answer: D.216
Explanation: we have to select three questions from each section so the chances are 4C2.4C2.4C2=216
ANSWER:D
Question: Samantha's investment portfolio consists of three stocks: an airline, a bank, and a computer company. In the month of February, the price of the airline's stock rose by 10%, that of the bank decreased by 15% and that of the computer company also decreased by 12%, but the overall value of her portfolio increased. If Samantha owns equal amounts of all three stocks, which of the following could be the initial prices of the three stocks in the order airline, bank, and computer company respectively?
A.$75, $25, $20
B.$65, $60, $60
C.$65, $55, $90
D.$55, $85, $40
Answer: A.$75, $25, $20
Explanation: Since Samantha owns equal amounts of stocks, the 10% increase alone should set off the 15% decrease in each of the other two stocks. i.e The stock which increased should have a substantially higher value than the two stocks which decreased. Between B and A, A is obviously the safer bet and is the right answer.
Answer is A.
Question: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1.5 cm when a man gets on it. The mass of man is
A.12 kg
B.90 kg
C.72 kg
D.96 kg
Answer: B.90 kg
Explanation: Solution
Volume of water displaced	= (3 x 2 x 0.015)m3
= 0.09m3.
Mass of man	=Volume of water displaced ×Density of water
= (0.09×1000) kg
= 90 kg.
Answer B
Question: Tough and Tricky questions: Ratios
4/5 of a certain class left on a field trip. 1/3 of the students who stayed behind did not want to go on the field trip (all the others did want to go). When another vehicle was located, 1/2 of the students who did want to go on the field trip but had been left behind were able to join. What fraction of the class ended up going on the field trip?
A.1/2
B.2/3
C.13/15
D.23/30
Answer: C.13/15
Explanation: let total no. of students be 30
students left on a field trip = 4/5(30) =24
thus 6 students left behind
1/3(6)=2 students did not want to go. thus 4 students want to go on the trip
1/2(4)=2 were able to join the other students on the field trip.
thus total number of students that went on a field trip =24+2 =26
thus required fraction = 26/30 =13/15
C
Question: What is M : N if M is 40% of N
A.2:3
B.5:2
C.3:2
D.2:5
Answer: D.2:5
Explanation: Solution:
M = 40% of N = 40*N/100 = 2*N/5 = 5M = 2N ; M : N = 2 : 5
ANSWER IS D
Question: A group of people were given 2 puzzles. 70% people solved puzzle X and 89% people solved puzzle Y. What is the maximum and minimum percentage of people who could have solved both the puzzles?
A. 11%, 0%
B. 49%, 33%
C. 70%, 57%
D. 79%, 68%
Answer: C. 70%, 57%
Explanation: To solve this question, we don't need any formulas. Just read the question carefully. If 70% of the people solved puzzle X and 89% solved puzzle Y, then maximum % that can solve both correctly can only be 70%. From the given options, only D looks good
Answer C
Question: If a train, travelling at a speed of 180 kmph, crosses a pole in 6 sec, then the length of train is?
A.300
B.125
C.288
D.266
Answer: A.300
Explanation: D = 180 * 5/18 * 6
= 300 m
Answer: A
Question: A man was asked to state his age in years. His reply was , "Take my age 6 years hence, multiply it by 6 and subtract 6 times my age 6 years ago and you will know how old I am." What was the age of the person ?
A.18
B.92
C.72
D.26
Answer: C.72
Explanation: Explanation:
Let the present age of person be x years.
Then, 6(x + 6) - 6(x - 6 ) = x <=> (6x + 36) - (6x - 36) = x <=> x = 72..
Answer: C
Question: In what time will a railway train 120 m long moving at the rate of 36 kmph pass a telegraph post on its way?
A.12 sec
B.7 sec
C.8 sec
D.9 sec
Answer: A.12 sec
Explanation: T = 120/36 * 18/5
= 12 sec
Answer:A
Question: Given that there are 8 cricket players per team, how many ways can you select 10 cricket players from 2 teams if no more than 3 players can be selected from each team?
A.2456
B.3136
C.1452
D.3565
Answer: B.3136
Explanation: Now from each group we have to select 5 persons only: 8C3 * 8C3 = 56 * 56 = 3136
Total ways=3136 ways.
Answer B
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
A.76 Kmph
B.68 Kmph
C.79 Kmph
D.25 Kmph
Answer: B.68 Kmph
Explanation: Length of the two trains = 600m + 400m
Speed of the first train = X
Speed of the second train= 48 Kmph
1000/X - 48 = 180
1000/x - 48 * 5/18 = 180
50 = 9X - 120
X = 68 Kmph
Answer: B
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
A.30%
B.40%
C.70%
D.80%
Answer: C.70%
Explanation: C
70%
Let C.P. = $ 100. Then, profit = $ 320, S.P. = $ 420
New C.P. = 125% of $ 100 = $ 125.
New S.P. = $ 420
Profit = 420 - 125 = $ 295
Required percentage = 295/420 * 100 = 1475/21 = 70%
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm?
A.827 cm2
B.216 cm2
C.285 cm2
D.178 cm2
Answer: C.285 cm2
Explanation: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)
= 1/2 (20 + 18) * (15)
= 285 cm2
Answer:C
Question: P has $35 more than what Q and R together would have had if both B and C had 1/7 of what P has. How much does P have?
A.$45
B.$47
C.$49
D.$51
Answer: C.$49
Explanation: P = (2/7)*P+35
(5/7)*P=35
P=49
The answer is C.
Question: If YWVSQ is 25 - 23 - 21 - 19 - 17, Then MKIGF
A.13 - 11 - 9 - 7 - 9
B.13 - 11 - 9 - 7 - 6
C.13 - 11 - 9 - 7 - 7
D.13 - 11 - 9 - 7 - 3
Answer: B.13 - 11 - 9 - 7 - 6
Explanation: MKIGF = 13 - 11 - 9 - 7 - 6
Note: this is a dummy question. Dont answer these questions
Answer:B
Question: The salary of a person was reduced by 25%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?
A.10%
B.33.33%
C.20%
D.25%
Answer: B.33.33%
Explanation: Let the original salary be $100
new salary = $75
increase on 75 = 25
increase on 100 = [(25/75)100]% = 33.33%
Answer is B
Question: Find the numbers which are in the ratio 5:2:4 such that the sum of the first and the second added to the difference of the third and the second is 18?
A.4,3,22
B.4,4,22
C.10,4,8
D.9,6,12
Answer: C.10,4,8
Explanation: Let the numbers be a, b and c.
a:b:c = 5:2:4
Given, (a + b) + (c - b) = 21
=> a + c = 21
=> 5x + 4x = 18 => x = 2
a, b, c are 5x, 2x, 4x
a, b, c are 10, 4, 8.
Answer:C
Question: The cross-section of a water channel is a trapezium in shape. If the channel is 14 meters wide at the top and 8 meters wide at the bottom and the area of cross-section is 880 square meters, what is the depth of the channel (in meters)?
A.50
B.60
C.70
D.80
Answer: D.80
Explanation: 1/2 * d * (14 + 8) = 880
d = 80
The answer is D.
Question: At what time between 5 and 6 o' clock are the hands of a 3 minutes apart ?
A.24
B.55
C.66
D.88
Answer: A.24
Explanation: In this type of problems the formuae is
(5*x+ or - t)*12/11
Here x is replaced by the first interval of given time. Here x is 5.
t is spaces apart
Case 1 : (5*x + t) * 12/11
(5*5 + 3) * 12/11
28 * 12/11 = 336/11= min
therefore the hands will be 3 min apart at 31 5/11 min past 5.
Case 2 : (5*x - t) * 12/11
(5*5 -3 ) * 12/11
22 *12/11 = 24 min
therefore the hands will be 3 min apart at 24 min past 5
Answer: A) 24min
Question: Benny goes to the market for buying some apples to be distributed between her nine kids equally.She takes 360 dollars with her .The cost of each apple is 3 dollars .How many apples does she buy to share them equally between her six kids?
A.20
B.9
C.15
D.7
Answer: A.20
Explanation: cost of each apple = 3 dollars
Apples that Benny can buy with the amount she has=360/3 = 120.
Apples that each kid gets evenly = 120/6 =20 Apples.
So the answer is A=20
Question: A and B complete a work in 4 days. A alone can do it in 6 days. If both together can do the work in how many days?
A.3.75 days
B.3.7 days
C.3.6 days
D.2.4 days
Answer: D.2.4 days
Explanation: 1/4+ 1/6 = 5/12
12/5 = 2.4 days
Answer:D
Question: The ratio of the present age of Viju to that of Aju is 7:2. Four years from now, the ratio of the ages of Viju to Aju will be 5:2. What was Viju age 6 years ago ? (RBI Assistant 2015)
A.24
B.18
C.12
D.15
Answer: D.15
Explanation: Let the present age of Viju be 7x years and that of Aju be 2x years.
Then, 4 years from now
7x + 4 / 2x + 4 = 5 / 2
or 4x = 12
or x = 3
Viju present age = 7 * 3 = 21 years
Viju age 6 years ago = 21 - 6 = 15 years
answer :D
Question: How many prime numbers are between 25/3 and 84/6?
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: 25/3 = 8.xxx
84/6 = 14.xxx
So we need to find Prime numbers between 8 (Exclusive) - 13 (Inclusive)
There are 2 Prime numbers 1113
Hence answer will be (B) 2
B
Question: Two tables are purchased for the total cost of Rs. 5000. First table is sold at 40% profit and second at 40% loss. If selling price is same for both the tables, what is the cost price of the table that was sold at profit?
A.Rs. 1500.
B.Rs. 2500.
C.Rs. 3500.
D.Rs. 4500.
Answer: A.Rs. 1500.
Explanation: Ans: 140% of cost price of first table = 60% of cost price of second table.
Therefore, Cost price of first table : Cost price of second table
= 60 : 140 = 3 : 7
Therefore, Cost price of first table = 3/10× 5000 = Rs. 1500.
Answer A
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 21. What is the last numbers?
A.2
B.4
C.9
D.5
Answer: C.9
Explanation: A + B + C = 48
B + C + D = 45
A + D = 21
A – D = 3
A + D = 21
2D = 18
D = 9
ANSWER C
Question: Broke’s only source of income comes from his job as a question writer. In this capacity, Broke earns a flat salary of $200 per week plus a fee of $9 for every question that he writes. Every year, Broke takes exactly two weeks of unpaid vacation to visit his uncle, a monk in Tibet, and get inspired for the next year. If a regular year consists of 52 weeks and the number of questions that Broke wrote in each of the past 5 years was an odd number greater than 20, which of the following could be Broke’s median annual income over the past 5 years?
A.$22,474
B.$25,673
C.$27,318
D.$28,477
Answer: D.$28,477
Explanation: Okay u just need less than one min to answer this question. any odd number greater than 20 means that that last digit must be 1,3,5,7, or 9. 9$ per week for every question. So (odd)(odd) will give odd digit. A and C out. (50 weeks) (200) = 10,000. subtract this amount from option B, D and E and u will find that only option D is divisible by 9 (once 10,000 is subtracted from 28477) so its the right choice..D.
Question: From a pack of 52 cards, 1 card is drawn at random. What is the probability that a jack, queen, or king is drawn?
A.1/4
B.1/12
C.2/13
D.3/13
Answer: D.3/13
Explanation: The total number of cards is 52.
The number of jacks, queens, or kings is 12.
P(jack, queen, king) = 12/52 = 3/13
The answer is D.
Question: At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number of different possible seating arrangements for the group?
A.5
B.10
C.24
D.32
Answer: C.24
Explanation: If it were a line/column combination/permutation problem, the solution would be : 5! = 120.
However it is a circular combination/permutation problem, the solution would be: 5!/5 = 24 because you need to keep 1 person static. For that, lets say A cannot move from his place and next to him you can put 4 people. Then 3, then 2 and 1. So the no. of ways 5 people can be seated around a circular table is 4! = 24.
ANS:C
Question: 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 15 pumps work to empty the tank in 1 day?
A.3.5
B.4.8
C.5.1
D.5.2
Answer: A.3.5
Explanation: 3 pumps take 16 hrs total (8 Hrs a day)
If 1 pump will be working then, it will need 16*3=48 hrs
1 pump need 48 Hrs
If I contribute 15 pumps then
48/15=3.5 hrs.
answer :A
Question: Out of four consonants and three vowels, how many words can be made so that each word contains two consonants and three vowels?
A.480
B.540
C.600
D.720
Answer: D.720
Explanation: 4C2 x 3C3 x 5! = 720
The answer is D.
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?
A.1000
B.3889
C.8908
D.3780
Answer: A.1000
Explanation: 1120 = P [1 + (5*12/5)/100]
P= 1000
Answer: A
Question: The average marks of a class of 40 students is 44 and that of another class of 45 students is 70. Find the average marks of all the students?
A.52.6
B.52.4
C.52.1
D.69.5
Answer: D.69.5
Explanation: Sum of the marks for the class of 40 students = 40 * 44 = 1760
Sum of the marks for the class of 45 students = 45 * 70 = 3150
Sum of the marks for the class of 85 students =
2760 + 3150 = 5910
Average marks of all the students = 5910/85 = 69.5.Answer: D
Question: The average age of 28 students in a group is 16 years. When teacherâ€™s age is included to it, the average increases by one. What is the teacherâ€™s age in years?
A.45
B.36
C.41
D.51
Answer: A.45
Explanation: Sol.
Age of the teacher = ( 29 Ã— 17 â€“ 28 Ã— 16 ) years = 45 years.
Answer A
Question: Find the area of a triangle whose sides measure 13 cm, 14 cm and 15 cm.
A.72
B.21
C.84
D.53
Answer: C.84
Explanation: Sol. Let a = 13, b = 14 and c = 15. Then, S = (1/2)(a + b + c) = 21.
(s- a) = 8, (s - b) = 7 and (s - c) = 6.
Area = (s(s- a) (s - b)(s - c)^(1/2) = (21 *8 * 7*6)^(1/2) = 84 cm^2.
Ans: C
Question: The average age of the district level hockey team of eleven is 22 years.The average age gets no change when the coach age is also included.what is the age of the coach ?
A.22 yrs.
B.23 yrs.
C.25 yrs.
D.24 yrs.
Answer: A.22 yrs.
Explanation: Explanation:
Total age of players in team = 22 x 11 = 242
When coach is included, total members = 12, Avg age is 22
Total age when coach is included = 22x12 = 264
Age of coach = 264-242 = 22 yrs.
Answer: A
Question: Sneh's age is 1/6 th of her father's age. Sneh's father's age will be twice of Vimal's age after 10 years. If Vimal's eighth birthday was celebrated two years before, then what is Sneh's present age?
A.10 years
B.25 years
C.35 years
D.None of these
Answer: D.None of these
Explanation: Solution
Vimal's age after 10 years	= (8+2+10)years
= 20 years.
Sneh's father age after 10 years	= 40 years
Sneh's father Present age	= 30 years
Therefore Sneh's age	= (1/6 x 30)years
= 5 years.
Answer D
Question: The wages earned by Robin is 44% more than that earned by Erica. The wages earned by Charles is 60% more than that earned by Erica. How much % is the wages earned by Charles more than that earned by Robin?
A.23%
B.18.75%
C.30%
D.30.55%
Answer: D.30.55%
Explanation: Explanatory Answer
Let the wages earned by Erica be $100
Then, wages earned by Robin and Charles will be $144 and $160 respectively.
Charles earns $44 more than Robin who earns $144.
Therefore, Charles' wage is 44/144*100 = 30.55%.
The correct choice is (D)
Question: Tom was asked how old he was. He replied "In 2 years I will be twice as old as I was five years ago.' How old is he ?
A.11
B.13
C.12
D.15
Answer: C.12
Explanation: C
12
If Tom's age is X years
X+2=2(X-5)
X+2=2X-10
X=12
Question: The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs. 85 and Rs. 80 respectively.The Sum is :
A.Rs. 1800
B.Rs. 1450
C.Rs. 1360
D.Rs. 6800
Answer: C.Rs. 1360
Explanation: Solution
Sum = S.I xT.D/ ( S.I) - ( T.D)= 85 x80/85 - 80=Rs.1360.
Answer C
Question: Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 12 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?
A.60
B.80
C.100
D.120
Answer: A.60
Explanation: 30% of the members have passed the test, thus 70% have not passed the test.
We also know that 30+12=42 members have not passed the test, thus 0.7*Total=42 --> Total=60.
Answer: A.
Question: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 36. Find their present ages.
A.20, 28
B.21, 27
C.35, 45
D.35, 55
Answer: B.21, 27
Explanation: Let their present ages be 4x, 7x and 9x years respectively.
Then, (4x - 8) + (7x - 8) + (9x - 8) = 36
20x = 60 => x = 3
Their present ages are 12, 21 and 27 years respectively.
ANSWER:B
Question: In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.42, the number of 25 paisa coins is?
A.31
B.42
C.62
D.72
Answer: B.42
Explanation: 5x 6x 2x
50 25 100
250x + 150x + 200x = 4200
600x = 4200
x = 7 => 6x = 42
Answer:B
Question: A meal cost $ 35.50 adn there was no tax. If the tip was more than 5 pc but less than 8pc of the price, then the total amount paid should be:
A.40-42
B.39-41
C.38-40
D.37-38
Answer: D.37-38
Explanation: 5%(35.5) = 1.775
8%(35.5) = 2.84
total amount could have been 35.5+1.775 and 35.5+2.84
=> could have been between 37.275 and 38.34
=> approximately between 37 and 38
Answer is B.D