RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: a is the hundreds digit of the three digit integer x, b is the tens digit of x, and c is the units digit of x. 3a = b = 3c, and a > 0.
What is the difference between the two greatest possible values of x?
Tip: Dont stop till you have exhausted all answer choices to arrive at the correct one.
A.131
B.292
C.394
D.424
Answer: A.131
Explanation: Ratio of a:b:c= 1:3:1
Two possible greatest single digit values for b are 9 and 6
if b is 9, then x= 393
if b is 6, then x= 262
difference= 393-262= 131
A is the answer
Question: A man walking at a rate of 5km/hr crosses a bridge in 15 minutes. The length of the bridge is?
A.1250m
B.1310m
C.1500m
D.1000m
Answer: A.1250m
Explanation: Speed = 5*5/18 = 25/18 m/sec
Distance covered in 15minutes = 25/18 *15 *60 = 1250m
Answer is A
Question: The ratio of the ages of Mini and Minakshi is 4 : 3. The sum of their ages is 14 years. The ratio of their ages after 8 years will be
A.5 : 3
B.8 : 11
C.8 : 7
D.6 : 5
Answer: C.8 : 7
Explanation: Let Mini’s age = 4x and Minakshi’s age = 3x
Then 4x + 3x = 14
x = 2
Mini’s age = 8 years
And Minakshi’s age = 6 years
Ratio of their ages after 8 years = (8 + 8) : (6 + 8) = 16 : 14 = 8 : 7
ANSWER:C
Question: If x is a sum of all even integers on the interval 13...45 and y is their number, what is the GCD (x, y)?
A. 1
B. 16
C. 26
D. 52
Answer: B. 16
Explanation: x = 14 + 16 + ... + 44 = (largest + smallest)/2 *(# of terms) = (14 + 44)/2*16 = 29*16.
GCD of 16 and 29*16 is 16.
Answer: B.
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2445?
A.s.800
B.s.810
C.s.815
D.s.900
Answer: C.s.815
Explanation: 2445 * 1/3 = 815
Option C
Question: 800 men have provisions for 20 days. If 200 more men join them, for how many days will the provisions last now?
A.10
B.8
C.16
D.11
Answer: C.16
Explanation: 800*20 = 1200*x
x = 16.Answer: C
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 25%?
A.20%
B.25%
C.13 %
D.12.5%
Answer: D.12.5%
Explanation: SP2 = 2/3 SP1
CP = 100
SP2 = 75
2/3 SP1 = 75
SP1 = 225/2
100 --- 12.5=> 12.50%
ANSWER:D
Question: The distance between two planets is 3.00 × 10^6 light years. What is the distance between the two planets, in parsecs? (1 parsec = 3.26 light years)
A. 9.3 × 10^5
B. 9.2 × 10^5
C. 9.3 × 10^7
D. 9.9 × 10^7
Answer: B. 9.2 × 10^5
Explanation: 3.00*10^6 light years = 3.00*10^6/3.26 parsecs.
3.00/3.26 is a little bit less than 1, something like 0.9, thus 3.00*10^6/3.26 = ~0.92*10^6 = 9.2*10^5.
Answer: B.
Question: The slant height of a cone is 12 cm and radius of the base is 4cm, find the curved surface of the cone.
A.33
B.77
C.48
D.99
Answer: C.48
Explanation: π * 12 * 4 = 48
Answer:C
Question: The average weight of a group of boys is 35 kg. After a boy of weight 40 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
A.4
B.5
C.6
D.7
Answer: B.5
Explanation: Let the number off boys in the group originally be x.
Total weight of the boys = 35x
After the boy weighing 40 kg joins the group, total weight of boys = 35x + 40
So 35x + 40 = 36(x + 1) = > x = 5.
Answer: B
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
A.60
B.88
C.77
D.65
Answer: A.60
Explanation: Let the speed of the slower train be x m/sec.
Then, speed of the train = 2x m/sec.
Relative speed = ( x + 2x) = 3x m/sec.
(100 + 100)/8 = 3x => x = 25/3.
So, speed of the faster train = 50/3 = 50/3 * 18/5 = 60 km/hr.
Answer: A
Question: A man buys an item at Rs. 1200 and sells it at the loss of 20 percent. Then what is the selling price of that item
A.Rs. 660
B.Rs. 760
C.Rs. 860
D.Rs. 960
Answer: D.Rs. 960
Explanation: Explanation:
Here always remember, when ever x% loss,
it means S.P. = (100 - x)% of C.P
when ever x% profit,
it means S.P. = (100 + x)% of C.P
So here will be (100 - x)% of C.P.
= 80% of 1200
= 80/100 * 1200
= 960
Option D
Question: An alloy is to contain copper and zinc in the ratio 7 : 3. The zinc required (in kg) to be melted with 35 kg of copper, is?
A.10 and 2/3
B.15
C.9 and 2/3
D.9
Answer: B.15
Explanation: Explanation :
7 : 3 : 35 : x
=> 7x = 3 * 35
=> x = (3*35)/7 = 15 Kg.
Hence 15.
Answer : B
Question: In a class of 140 students, 60% of them passed. By what percent is the number of students who passed more than the number of failed students?
A.40%
B.80%
C.58%
D.50%
Answer: D.50%
Explanation: Number of students passed = 60% of 140 = 60/100 * 140 = 84
Number of students failed = 140 - 84 = 56.
Required percentage = 28/56 * 100 = 50%.
Answer:D
Question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
A.45%
B.50%
C.57%
D.60%
Answer: C.57%
Explanation: Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57%
C
Question: If the President and Vice President must sit next to each other in a row with 8 other members of the Board, how many different seating arrangements are possible?
A.120510
B.632010
C.725760
D.705262
Answer: C.725760
Explanation: We need to take President and VP as one unit. Therefore we have 9 people to arrange=5! ways
Also, we both President and VP can be arranged in 2 ! ways.
Reqd no of ways=9!*2!= 725760 ways
Answer C
Question: A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.204 less than the sum lent. What was the sum lent?
A.228
B.278
C.300
D.500
Answer: C.300
Explanation: P - 204 = (P*4*8)/100
P = 300
Answer: C
Question: Product of two natural numbers is 19. Then, the sum of reciprocals of their squares is
A.290/289
B.1/289
C.290/90
D.362/361
Answer: D.362/361
Explanation: Explanation:
If the numbers are a, b, then ab = 19,
as 17 is a prime number, so a = 1, b = 19.
1/a2+1/b2=1/1(2)+1/19(2)
=362/361
Option D
Question: The average of 30 numbers is 48. If three numbers namely 45, 55 and 43 are discarded, the average of remaining numbers is?
A.47
B.47.03
C.48.03
D.48
Answer: C.48.03
Explanation: Explanation:
Total of 30 numbers = 30 * 48 = 1440
Average o 27 numbers = 1440 - (45 + 55 + 43) / 27
= 48.03
Answer: Option C
Question: If an item that originally sold for z dollars was marked up by x percent and then discounted by y percent, which of the following expressions R represents the final price of the item?
A.R=(10,000z + 100z(x – y) – xyz)/10,000
B.R=(10,000z + 100z(y – x) – xyz)/10,000
C.R=(100z(x – y) – xyz)/10000
D.(100z(y – x) – xyz)/10000
Answer: A.R=(10,000z + 100z(x – y) – xyz)/10,000
Explanation: -A-
z=Original Price
x=MU
y=MD
New price with MU:
z(x/100+1)
New price with MD:
z[(x/100+1)(-y/100+1)]
Solvingâ€¦
=z[((x+100)/100)((-y+100)/100)]
=z(x100-xy+10000-100y)/10000
=(zx100-xyz+10000z-100yz)/10000 --> similar to A
Question: If 10 litres of an oil of Rs.50 per litres be mixed with 5 litres of another oil of Rs.67 per litre then what is the rate of mixed oil per litre?
A.Rs.49.17
B.Rs.51.03
C.Rs.54.17
D.Rs.55.66
Answer: D.Rs.55.66
Explanation: 50*10 = 500
67*5 = 335
835/15 = 55.66
ANSWER:D
Question: List K consists of 10 consecutive integers. If -3 is the least integer in list K, what is the range of the positive integers in list K?
A.5
B.6
C.7
D.11
Answer: A.5
Explanation: Answer = A = 5
If least = -3, then largest = 6
Range = 6- 1 = 5
Question: At a dinner party, 8 people are to be seated around a circular table. Two seating arrangement 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.5040
D.3200
Answer: C.5040
Explanation: Has to be C.
Simple formula: There are (n - 1)! ways to arrange n distinct objects in a circle
hence (8-1)! = 7!= 5040
Question: On a certain Monday, Carlos drove to work at an average speed of 20 miles per hour and home from work along exactly the same route at an average speed of 40 miles per hour. Which of the following is closest to his average speed for both trips combined?
A.24
B.26
C.27
D.26.66
Answer: D.26.66
Explanation: To solve the average speed questions, we need to know the total distance and the total time.
Let us assume that the distance from work = D
This will also be the distance from work to home
Hence total distance travelled = 2D
Time in going to work = D/20,
Time in coming back from work = D/40
Hence average speed of both the trips = 2D/ (D/20 + D/40)
= 2*40/3 = 26.66
D
Question: Three numbers are in the ratio 3 : 5 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 50. Find the third number?
A.A)54
B.B)50
C.C)48
D.D)46
Answer: B.B)50
Explanation: Let the numbers be 3x, 5x, 7x.
Largest number = 7x.
Smallest number = 3x.
Third number = 5x.
7x + 3x = 5x + 50
5x = 50 => third number is 50.
Answer:B
Question: The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.
A.19828.89
B.19828.8
C.19828.85
D.19828.83
Answer: B.19828.8
Explanation: Let the sum be Rs.P
P{ [ 1 + 8/100]2 - 1 } = 2828.80
P(8/100)(2 + 8/100) = 2828.80 [a2 - b2 = (a - b) ( a + b)] P = 2828.80 / (0.08)(2.08) = 1360/0.08 = 17000 Principal + Interest = Rs. 19828.80.Answer: B
Question: Find the least number must be subtracted from 105829 so that remaining no.is divisible by 21?
A.7
B.10
C.20
D.32
Answer: B.10
Explanation: On dividing 105829 by 21 we get the remainder 10, so 10 should be subtracted
Answer is B
Question: A wholesaler makes a 10% commission on the selling price for each bag of cat food it sells. If it sells 100 bags of cat food and makes $160 in commission, what was the selling price of each bag?
A.$4.00
B.$4.80
C.$9.60
D.$16.00
Answer: D.$16.00
Explanation: Commission per one bag: 160/100=1.6
1.6 = 10% of the selling price
1.6=0.1x
x=16
Answer is D.
Question: If x+y=5z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z?
A. 2z+1
B. 3z
C. 2z
D. z/3
Answer: C. 2z
Explanation: Pick any number like X=12, Y=8 and Z= 4 so that X+Y=5Z, now then the arithmetic mean will be (12+8+4)/3=8. Now, just look at the answers and put the value of Z there.
(A) 2.4+1=9, but it should be 8.
(B) 3.4=12,no
(C) 2.4=8, it can be the answer, lets check us the other options
(D) 4/3, no
(E) (3.4)/2=6, no
so the answer will be C..
Question: In what time will a train 110 m long cross an electric pole, it its speed be 144 km/hr?
A.2.75
B.3.75
C.4.75
D.5.75
Answer: A.2.75
Explanation: Speed = 144 * 5/18 = 40 m/sec
Time taken = 110/40 = 2.75 sec.
Answer: Option A
Question: For a group of n people, k of whom are of the same sex, the (n-k)/n expression yields an index for a certain phenomenon in group dynamics for members of that sex. For a group that consists of 25 people, 8 of whom are females, by how much does the index for the females exceed the index for the males in the group?
A. 0.05
B. 0.36
C. 0.2
D. 0.25
Answer: B. 0.36
Explanation: Index for females = (25-8)/25 = 17/25 = 0.68
Index for males = (25-17/25 = 8/25 = 0.32
Index for females exceeds males by 0.68 - 0.32 = 0.36
Answer: B
Question: A retail item is offered at a discount of c percent (where c > 10), with a 5% state sales tax assessed on the discounted purchase price. If the state sales tax were not assessed, what percent discount from the item’s original retail price, in terms of c, would result in the same final price?
A.p+5/1.05
B.c/1.05 +5
C.1.05c-5
D.c-5/1.05
Answer: C.1.05c-5
Explanation: Let x be the price of the item.
Final price after discount and sales tax = x * (1 - c/100) * 1.05
Let d be the percent discount which would result in the same final price.
Then,
x * (1 - c/100) * 1.05 = x * (1 - d/100)
=> 1.05 - 1.05c/100 = 1 - d/100
=> d/100 = 1.05c/100 - .05
=> d = 1.05c - 5
Hence ,option C is correct.
Question: Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a.
A.228
B.288
C.27
D.200
Answer: D.200
Explanation: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.
r = 15000(1 - 4/100) = 15000 - 600
m = 8000(1 + 10/100) = 8000 + 800
Total SP - Total CP = r + m - (15000 + 8000) = -600 + 800 = Rs. 200
As this is positive, an overall profit of Rs. 200 was made.Answer:D
Question: How many 3 digit numbers are divisible by 6 in all ?
A.149
B.150
C.151
D.166
Answer: B.150
Explanation: Explanation:
Required numbers are 102, 108, 114, ... , 996
This is an A.P. in which a = 102, d = 6 and l = 996
Let the number of terms be n. Then,
a + (n - 1)d = 996
102 + (n - 1) x 6 = 996
6 x (n - 1) = 894
(n - 1) = 149
n = 150.
ANSWER IS B
Question: By how much is 30% of 80 greater than 4/5th of 25 ?
A.2
B.4
C.10
D.15
Answer: B.4
Explanation: Answer
It is (30 x 80)/100 - (4 x 25)/ 5 = 24 - 20 = 4
Correct Option: B
Question: An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metre of cloth ?
A.175 seconds
B.195 seconds
C.155 seconds
D.115 seconds
Answer: B.195 seconds
Explanation: Explanation:
Let the time required by x seconds.
Then, More cloth means More time (Direct Proportion)
So,
0.128 : 1 :: 25 : x => x = {\color{Blue} \frac{25\times 1}{0.128}}
=> x = 195.31
So time will be approx 195 seconds
Answer: B
Question: In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions ?
A.32
B.42
C.36
D.65
Answer: C.36
Explanation: Number of ways of arranging the vowels =3P3=3!=6.
Also, the 3 consonants can be arranged at the remaining 3 positions.
Number of ways of these arrangements =3P3=3!=6.
Total number of ways =(6*6)=36.
Answer is C
Question: A woman has $133,982 in her savings account. What is the least amount of money (in whole number of dollars) that she must add to her account if she wants to split this money evenly among her Three children?
A.$1
B.$11
C.$3
D.$2
Answer: A.$1
Explanation: To find the least amount the woman should add to her saving account to split the money evenly among her 3 children,
she needs to make the total divisible by 3
Simply add the individual digits of the total = 1+3+3+9+8+2=26
If you add 1 , the number is divisible by 3 (26+ 1)
Correct Option : A
Question: A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student A answers each of the 100 questions on her test and receives a score of 70, how many questions did Student A answer correctly?
A.55
B.90
C.73
D.82
Answer: B.90
Explanation: let the number of correct responses be x
then the number of incorrect responses =100-x
according to question
x-2(100-x)=70 (subtracting twice of incorrect from correct)
3x=270
x=90
ANSWER:B
Question: If Tom paid $250 toward buying a brand new oven, which represents 20% of the total cost of the oven, how much remains to be paid?
A.$1000
B.$1100
C.$1050
D.$1300
Answer: A.$1000
Explanation: Explanation:
Let's start with what the total price of the oven would be. If 20% is equal to $250 then 100% equals $x. We just have to multiply $250 by 5 to get total amount=$1250. Out of this amount we then need to deduct the amount already paid which was $250 so we have $1250-$250=$1000
Answer: Option A
Question: Fred purchased an item for $15.00. Fred sees the same item a week later on sale for $12.00. What percentage has the item been marked down from what Fred paid?
A.3
B.5
C.15
D.20
Answer: D.20
Explanation: F.P.=15
S.P.=12
markdown is (1-(S.P./R.P.))*100=(1-(12/15))*100=20%
ANSWER:D
Question: P works 25% more efficiently than Q and Q works 50% more efficiently than R. To complete a certain project, P alone takes 50 days less than Q alone. If, in this project P alone works for 60 days and then Q alone works for 145 days, in how many days can R alone complete the remaining work?
A.50 days
B.110.6 days
C.100 days
D.150 days
Answer: B.110.6 days
Explanation: P works 25% more efficiently than Q: Something that takes Q 5 days, takes P 4 days
Q works 50% more efficiently than R: Something that takes R 7.5 days, takes Q 5 days
P alone takes 50 days less than Q: For every 4 days P works, Q has to work an extra day. Hence P alone can do it in 200 days and Q alone in 250 days and hence R alone in 395 days
P works for 60 days--> 60/200 work done => 30%
Q works for 145 days--> 145/250 work done => 58%
28% work left ... R alone will take 28% * 395 = 110.6 days
Answer is (B)
Question: 210 college students were asked in a survey if they preferred Windows or Mac brand computers. 90 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 60 of the students had no preference. How many of the students in the survey preferred Windows to Mac brand computers?
A.25
B.40
C.50
D.60
Answer: D.60
Explanation: 210 = 90(Mac) + x(Window) + 60(both) => x=60
ANSWER:D
Question: A boy was asked to find the arithmetic mean of the numbers 23, 17, 19, 25, 23, 18, 29, 27, 31 and P. He found the mean to be 24. What should be the number in place of P?
A.3
B.7
C.33
D.28
Answer: D.28
Explanation: Explanation :
Clearly, we have (23+17+19+25+23+18+29+27+31+P/10) =24
Number in place of P is
=> 212+P = 240
=> P= 240 -212
=> P = 28.
Answer : D
Question: The workforce of Company X is 60% female. The company hired 30 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers?
A.160
B.220
C.240
D.360
Answer: D.360
Explanation: Let's xx be total quantity of employees
0.6x=females before adding men
0.55(x+30)=females after adding men
as quantity of women doesn't change we can make an equation:
0.6x=0.55(x+30)
0.05x=16.5
x=330 - this is quantity of employees before adding 30 men
So after adding it will be 360
Answer is D
Question: Sanya prepared 4 different letters to 4 different addresses. For each letter, she prepared one envelope with its correct address. If the 4 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?
A.1/24
B.1/8
C.1/4
D.1/3
Answer: D.1/3
Explanation: Total Sanya# of ways - 4! = 24.
Desired:
A-Mapped to the only correct address----------x 1 way only
B-Mapped to other two incorrect addresses - x 2 ways
C-Mapped to other two incorrect addresses - x 2 ways
D-Mapped to other two incorrect addresses - x 2 ways
Therefore, 1*2*2*2/24 = 1/3.?
Question: Four person are chosen at random form a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children, is:
A.10/21
B.20/21
C.17/21
D.19/21
Answer: A.10/21
Explanation: Number of ways of choosing 4 persons out of 9
=9c4
=126
No.of ways of choosing 2 children out of 4 and 2 persons out of (3+2)= (4c2+5c2)
=60
P(E)=60/126
=10/21
ANSWE A 10/21
Question: 25% of 30% of 45% is equal to?
A.0.03329
B.0.03375
C.0.0331
D.0.03299
Answer: B.0.03375
Explanation: (25/100) * (30/100) * (45/100)
1/4 * 3/10 * 9/20
27/800 = 0.03375
Answer: B
Question: A boy goes to his school from his house at a speed of 3km/hr and return at a speed of 2km/hr. If he takes 5 hours in going and coming, the distance between his house and school is?
A.5km
B.6km
C.10km
D.12km
Answer: B.6km
Explanation: Average speed = 2*3*2/3+2 = 12/5 km/hr
Distance traveled = 12/5 * 5 = 12km
Distance between house and school = 12/2 = 6km
Answer is B
Question: The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is
A.71.5
B.11.5
C.81.5
D.11.5
Answer: B.11.5
Explanation: Explanation:
Middle numbers = [(10.5 x 6 + 11.4 x 6) - 10.9 x 11] = (131.4 - 119-9) = 11.5.
Answer: B
Question: If 4 cats can kill 4 rats in 4 minutes, how long will it take 100 cats to kill 100 rats?
A.1 minutes
B.2 minutes
C.3 minutes
D.4 minutes
Answer: D.4 minutes
Explanation: It will take 4 minutes for 100 cats to kill 100 rats.
1 cat can kill 1 rat in 4 minutes, so 100 cats can kill 100 rats in 4 minutes
Answer D
Question: The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is?
A.5
B.6
C.7
D.9
Answer: B.6
Explanation: Explanation:
(10x + y) – (10y + x) = 54
x – y = 6
B)
Question: A housing society has been allotted a square piece of land measuring 2550.25 sq.m. What is the side of the plot?
A.50.25 m
B.50.5 m
C.50.65 m
D.50.85
Answer: B.50.5 m
Explanation: Solution
Side = √2550.25
= √255025 / 100
= 505 / 10
= 50.5 m.
Answer B
Question: If the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 36 more than n. What is y in terms of x ?
A.36 - x
B. 10 - x
C. x + 4
D. x - 4
Answer: C. x + 4
Explanation: Original Digits=xy i.e. Number=10x+y
After reversing the digits:
Digits=yx i.e. Number=10y+x
10y+x is 36 more than 10x+y
10x+y+36=10y+x
10x-x+36=10y-y
9x+36=9y
x+4=y
OR
y=x+4
Ans:C
Question: Find the value of (45 + 23/89) × 89
A.4028
B.4026
C.4248
D.4538
Answer: A.4028
Explanation: =(45 + 23/89) × 89
=(4005 + 23)/89 × 89
=4028/89 × 89
=4028
Answer is A.
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
A.40
B.50
C.60
D.79
Answer: B.50
Explanation: Speed of the train relative to man = 125/10 = 25/2 m/sec.
= 25/2 * 18/5 = 45 km/hr
Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.
x - 5 = 45 => x = 50 km/hr.
Answer: Option B
Question: A and B started a business investing Rs. 90,000 and Rs 20,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively?
A.9:2
B.3:2
C.18:20
D.18:4
Answer: A.9:2
Explanation: A: B = 90000 : 20000
= 90 : 20
= 18 : 4
= 9 : 2
ANSWER:A
Question: A and B can do a piece of work in 8 days. B and C can do it in 12 days and A and C in 16 days. Working together they will complete the work in how many days?
A.5.38 days
B.9.38 days
C.7.38 days
D.3.38 days
Answer: C.7.38 days
Explanation: C
7.38 days
A + B = 1/8
B + C = 1/12
C + A = 1/16
-------------------------------
2(A + B +C) = 1/8 + 1/12 + 1/16 = 13/48
A + B +C = 13/96
96/13 = 7.38 days
Question: A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:
A.Rs. 2000
B.Rs. 10,000
C.Rs. 15,000
D.Rs. 18,000
Answer: C.Rs. 15,000
Explanation: Principal = Rs. (100 x 5400)/(12X3) = Rs. 15000. Answer: Option C
Question: Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:
A.15
B.16
C.18
D.25
Answer: B.16
Explanation: Work done by Sakshi in 1 day = 1/20
Since Tanya is 25% efficient than Sakshi, she completes 25% more work in a day than Sakshi.
=> Tanya's 1 day work = 120 + 120 * 25100 = 116
So time taken by Tanya to finish the work = 16 days answer B
Question: The set S has 36 different subsets each of which contains exactly two elements. How many subsets of S could contain exactly four elements each?
A.126
B.120
C.110
D.100
Answer: A.126
Explanation: nC2 = 36
=> n*(n-1)/2 = 36 by middle term factor n can not be negative
=> n = 9
nC3 = 9C4 = 126
So, Answer is A.