RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: By using the numbers 0, 2, 3, 5 and 4 only once, how many five digit numbers can be made that are divisible by 8?
A.18
B.24
C.48
D.16
Answer: A.18
Explanation: A number to be divisible by 8 must end with 8, 16, 24,32,40...
So, there are the following cases possible:
035-24 --> the first three digits can be arranged in 3=6 ways.
054-32--> the first three digits can be arranged in 3=6 ways.
235-40--> the first three digits can be arranged in 3=6 ways.
Total = 6+6+6 = 18.
Answer: A.
Question: Of the following values of n, the value of (-1/7 )^(-n) will be greatest for n =
A.3
B.2
C.0
D.-2
Answer: B.2
Explanation: imo -2
(-17)^-2=
1/(1/49)=49
oops i meant 2
B
Question: The average age of A and B is 40 years. If C were to replace A, the average would be 38 and if C were to replace B, the average would be 52. What are the age of A, B and C?
A.40, 38, 52
B.40, 20, 26
C.36, 80, 20
D.54, 26, 50
Answer: D.54, 26, 50
Explanation: Given A + B = 80â€¦(i)
C + B = 76 â€¦ (ii)
A + C = 104â€¦(iii)
(i) + (ii) + (iii) â‡’ A + B + C = 130 â€¦(iv)
from (i) and (iv), we get
C = 50 years
âˆ´ B = 26 years and A = 54 years
Answer D
Question: Steve traveled the first 2 hours of his journey at 55 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey?
A.60 mph
B.56.67 mph
C.70 mph
D.64 mph
Answer: C.70 mph
Explanation: Distance traveled in 2 hours = 2 * 55 = 110 m
Distance traveled in 3 hours = 3 * 80 = 240m
Total distance covered = 240 + 110 = 350m
Total time = 2 + 3 =5 h
Hence avg speed = total distance covered / total time taken
= 350/5 = 70mph
Answer: C
Question: The sum of ages of 5 children born 2 years different each is 40 years. What is the age of the Elder child?
A.12
B.9
C.10
D.16
Answer: A.12
Explanation: Let the ages of children be x, (x + 2), (x + 4), (x + 6) and (x + 8) years.
Then, x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 40
5x = 20
x = 4.
x+8= 4+8= 12
Answer : A
Question: What is the difference between the largest and the smallest number written with 7, 7, 0, 7?
A.6893
B.6993
C.6093
D.693
Answer: D.693
Explanation: 7770
7077
-------------
693
ANSWER:D
Question: If "PROMPT" is coded as QSPLOS ,then "PLAYER" should be
A.FKSKJH
B.DSKUIW
C.SHOUSA
D.QMBXDQ
Answer: D.QMBXDQ
Explanation: Explanation:
1st 3 letters are denoted by its next alphabet and the next 3 letters are denoted by its previous alphabets.
Answer: D
Question: If a: b = 1:4, b:c = 13:9, c:d = 5:13, find a:d?
A.5/46
B.7/36
C.1/36
D.5/36
Answer: D.5/36
Explanation: a/d = (1/4)*(13/9)*(5/13) => 5/36
ANSWER:D
Question: The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is
A.1/2
B.2/3
C.3/5
D.5/7
Answer: A.1/2
Explanation: Sol. Required probability = Pg.) x P(B) = (1— D x(1 —I) =: x 1=1/2
Ans.(A)
Question: In the following question, a matrix of certain characters is given.These characters follow a certain trend, row-wise or column wise.Find out this trend and choose the missing character accordingly.
A.12
B.372
C.38
D.37
Answer: A.12
Explanation: Explanation:
In the first row, 72 ÷ (24/2) = 72 ÷ 12 = 6.
In the second row, 96 ÷ (16/2) = 96 ÷ 8 = 12.
Let the missing number in the third row be y.
Then, 108 ÷ (y/2) = 18 or y/2 = 108/18 = 6 or y = 12.
Answer: A) 12
Question: A man swims downstream 36 km and upstream 26 km taking 2 hours each time, what is the speed of the man in still water?
A.9
B.18.4
C.15.5
D.16.7
Answer: C.15.5
Explanation: 36 --- 2 DS = 18
? ---- 1
26 ---- 2 US = 13
? ---- 1 M = ?
M = (18 + 13)/2 = 15.5
Answer: C
Question: In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
A.22772
B.20982
C.26882
D.11750
Answer: D.11750
Explanation: 200 + 130 = 330
800 - 330 = 470
200 ---- 5000
470 ---- ? => 11750.Answer: D
Question: Jill invests $10000 in an account that pays an annual rate of 3.96%, compounding semi-annually. Approximately how much R does she have in her account after two years?
A.$10079.44
B.R=$10815.83
C.$12652.61
D.$14232.14
Answer: B.R=$10815.83
Explanation: PS. I guess one can use simple interest to solve cause the answer choices are quite spread between you can easily arrive at something near 8%
Hence B the answer
Question: What is the ratio whose terms differ by 40 and the measure of which is 2⁄7?
A.16 : 56
B.14 : 56
C.15 : 56
D.16 : 72
Answer: A.16 : 56
Explanation: Let the ratio be x: (x + 40).Then,
x/(x+40)=2/7 ⇒ 2x + 80 ⇒ x = 16.
∴ Required ratio = 16 : 56.
Answer A
Question: A group of boy scouts and girls scouts is going on a rafting trip. 52% of the scouts arrived with signed permission slips. If 40% of the scouts were boy scouts and 62.5% of the boy scouts arrived with signed permission slips, then what percentage of the children were girl scouts who arrived with signed permission slips?
A.27
B.28
C.29
D.30
Answer: A.27
Explanation: We don't know how many scouts went on the trip, so let's assume 100 scouts went on the trip (since we only are concerned with percents in the answer)
40% were boy scouts so 40% of 100 = 40 were boy scouts
62.5% of the boy scouts brought their permission slips signed, so .625*40 = 25 boy scouts had signed slips
15 boy scouts did not
52% of all the scouts had signed slips, so .52*100 = 52 in total had signed slips
thus 52 - 25 = 27 girl scouts had signed slips
thus the percentage of scouts who were girl scouts arriving with signed permission slips is 27/100 = .27 = 27%
A
Question: A and B can together finish a work in 30 days. They worked at it for 20 days and then B let. The remaining work was done by A alone in 20 more days. B alone can do the entire work in
A.48 days
B.50 days
C.54 days
D.60 days
Answer: D.60 days
Explanation: A+B 's 1 day work = 1/30
A+B's 20 days work = 20*1/30 = 2/3
Remaining work left = 1-2/3 = 1/3
A does 1/3 work in ---> 20 days
A does 1 work in ---> x days
x = 3*20 = 60 days
A ll take 60 days to complete the whole work
A's 1 day work = 1/60
Therefore B's 1 day work = (A+B)'s 1 day work - A's 1 day work
=> 1/30 - 1/60
=1/60
So B's 1 day work = 1/60
B ll complete the entire work alone in 60 days
ANSWER:D
Question: A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?
A.3:4:9
B.3:4:7
C.3:4:5
D.3:4:1
Answer: B.3:4:7
Explanation: A:B:C = (40000 * 36) : (80000 * 12 + 40000 * 24) : (120000 * 24 + 40000 * 12)
= 144:192:336
= 3:4:7
Answer:B
Question: Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 4 minute each, how soon will the tank be filled?
A.2 hours
B.12 hours
C.3 hours
D.5 hours
Answer: B.12 hours
Explanation: in three minute 1/20+1/30-1/15=1/60 part is filled
12 min--------1/60 parts
x min--------- 1 part(full)
x=720 min =12 hours
ANSWER:B
Question: A person was asked to state his age in years. His reply was , "Take my age 3 years hence, multiply it by 3 and subtract 3 times my age 3 years ago and you will know how old I am." What was the age of the person ?
A.18
B.92
C.27
D.26
Answer: A.18
Explanation: Explanation:
Let the present age of person be x years.
Then, 3(x + 3) - 3(x - 3 ) = x <=> (3x + 9) - (3x - 9) = x <=> x = 18..
Answer: A) 18
Question: A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 are:
A.Rs. 10,500, Rs. 13,500, Rs. 16,500
B.Rs. 10,500, Rs. 13,500, Rs. 16,508
C.Rs. 10,500, Rs. 13,500, Rs. 16,56
D.Rs. 10,500, Rs. 13,500, Rs. 16,57
Answer: A.Rs. 10,500, Rs. 13,500, Rs. 16,500
Explanation: A:B:C = 35000 : 45000 : 55000 = 7:9:11
A's share = 40500 * 7/27 = Rs. 10500
B's share = 40500 * 9/27 = Rs. 13500
C's share = 40500 * 11/27 = Rs. 16500
nual profit of Rs. 40,500 are:
Answer:A
Question: A student committee on academic integrity has 90 ways to select a president and vice president from a group of candidates. The same person cannot be both president and vice president. How many candidates are there?
A.7
B.8
C.9
D.10
Answer: D.10
Explanation: Let the number of people to choose from = n
No of people to be chosen = 2
The number of ways 2 people can be chosen from n people=nC2
Now, the two people selected can be arranged in 2! ways
Hence nC2*2!=90 which gives n=10
ANSWER:D
Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
A.1
B.8
C.7
D.5
Answer: B.8
Explanation: 96% ---- 12
144% ---- ?
96/144 * 12 = 8
Answer: B
Question: A, B and C's age is in ratio 2:5:7. Find their ages if the sum of their age is 70 years.
A.10 , 25 and 35
B.5, 20 and 35
C.8, 20 and 32
D.11, 23 and 27
Answer: A.10 , 25 and 35
Explanation: Let the age of A, B and C be 2x, 5x and 7x.
2x + 5x + 7x = 70
14x = 70
x = 5
The ages are 10, 25 and 35.
Answer : A
Question: The price of 24 apples is equal to that of 28 oranges. The price of 45 apples and 60 oranges together is Rs.1350. The total price of 30 apples and 40 oranges is
A.850
B.900
C.750
D.950
Answer: B.900
Explanation: Let the price of one apple = a and price of one orange = b
Price of 24 apples is equal to that of 28 oranges
24a = 28b
=> 6a = 7b
⇒b=6a/7 -----(Equation 1)
price of 45 apples and 60 oranges together is Rs.1350
=> 45a + 60b = 1350
=> 3a + 4b = 90
⇒3a+4(6a)/7=90 (∵ Substituted the value of b from equation 1)
⇒a+4(2a)/7=30
=> 7a + 8a = 30 × 7 = 210
=> 15a = 210
⇒a=21015=423=14
b=6a7=(6×14)/7=6×2=12
Total price of 30 apples and 40 oranges
= 30a + 45b = (30 × 14) + (40 × 12) = 420 + 480 = 900
Answer is B.
Question: Two water pumps, working simultaneously at their respective constant rates, took exactly nine hours to fill a certain swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the faster pump to fill the pool if it had worked alone at its constant rate?
A.12
B.14
C.15
D.16
Answer: C.15
Explanation: Let x be the rate of the slower pump. Then 1.5x is the rate of the faster pump.
Both pumps together can fill 1/6 of the pool each hour.
2.5x = 1/9
x = 1/22.5
1.5x = 1.5/22.5 = 1/15
The faster pump could fill the pool in 15 hours.
The answer is C.
Question: (1/5)^f * (1/4)^18 = 1/(2(10)^35). What is f?
A.17
B.18
C.34
D.35
Answer: D.35
Explanation: We need to arrive at a common base. -->
(5)^(-f) * 2^(-36) = 2^(-36)*5^(-35)
5^(-f)=5^(-35)
-f=-35
f=35=D
Question: The average of 17 numbers is 59. Average of the first 9 of them is 56 and that of the last 9 is 63. Find the 9th number?
A.64
B.68
C.65
D.66
Answer: B.68
Explanation: Sum of all the 17 numbers = 17 * 59 = 1,003Sum of the first 9 of them = 9 * 56 = 504Sum of the last 9 of them = 9 * 63 = 567So, the 8th number = 504 + 567 - 1,003= 68.Answer: B
Question: The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
A.18 cm
B.20 cm
C.22 cm
D.24 cm
Answer: A.18 cm
Explanation: 2(l + b) = 5
b 1
2l + 2b = 5b
3b = 2l
b = 2 l
3
Then, Area = 216 cm2
l x b = 216
l x 2 l = 216
3
l2 = 324
l = 18 cm.
A
Question: A room contains 100 people, 20 percent of whom are women. A group of people, 30 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room?
A.50
B.40
C.30
D.20
Answer: A.50
Explanation: (1) 100 total = 20% women ~ 20 women
(2) x left = 30% x women
(3) 100-x left in the room = 10%(100-x) women
--> (1)=(2) + (3)
--> 30% x + 10%(100-x) = 20
--> 20% x = 10
--> x = 50
Answer is A
Question: Prakash has 3 pairs of shoes; each pair is a different color. If Prakash randomly selects 2 shoes without replacement from the 6 shoes, what is the probability that she will select 2 shoes of the same color?
A.2/5
B.1/5
C.1/9
D.1/10
Answer: B.1/5
Explanation: Can be tackled in this way as well: Probability of selecting any 1 out of 6 shoes = 6/6 = 1
Probability of selecting the next shoe (out of 6 available) having the same color = 1/5 (as after selecting the 1st one, there is only 1 another shoe left with the same color).
Thus the total probability = 1*1/5=1/5.
B is the correct answer.
Question: In an exam, B scored 60 percent, C scored 40 percent and D 59 percent. The maximum score awarded in the exam is 600. Find the average mark scored by all the three candidates?
A.316
B.318
C.320
D.322
Answer: B.318
Explanation: Average mark scored by all the three boys
= [60/100 (600) + 40/100 (600) + 59/100 (600)] / 3
= 318
Answer: B
Question: Akhil purchased 70kg vegetable at Rs. 420, then sold them at the rate of Rs. 6.50 per kg, find the profit percent.
A.8 1/3%
B.7 1/3%
C.6 1/3%
D.5 1/3%
Answer: A.8 1/3%
Explanation: Explanation:
Please note in this type of questions, get the value of 1 kg to solve this question, lets solve it.
C.P. of 1 Kg = 420/70 = Rs. 6
Selling Price = 6.50
Gain = Rs. 0.50
Gain%=.50/6∗100=8 1/3%
Option A
Question: If a, b, c are consecutive positive integers and a<b<c, which of the following must be true?
I. c-a=2
II. -abc is positive integer
III. (a+b+c)/3 is an integer
A.I & III only
B.II
C.I and II
D.II and III
Answer: A.I & III only
Explanation: If a, b, c are consequitive positive integers and a<b<c, which of the following must be true?
1. c-a=2
2. abc is an even integer
3. (a+b+c) /3 is an integer
1.
a=a
b=a+1
c=a+2
c-a=a+2-a=2.
Correct
2. -abc is positive integer.
positive * negative = negative
False.
3. (a+b+c) /3 is an integer
Again;
a=a
b=a+1
c=a+2
a+b+c=(a+a+1+a+2)=3a+3
3a is always divisible by 3
3 is divisible by 3.
Thus3a+3is also divisible by 3.
Rule:
if integer x is divisible by n
and
integer y is divisible by n
then; x+y must be divisible by n
Correct.
Ans :A
Question: What is the remainder when 263251 is divided by 9?
A.2
B.8
C.7
D.1
Answer: D.1
Explanation: Explanation:
If the sum of the digits of a number is divisible by 9, the number will be divisible by 9.
2 + 6 + 3 + 2 + 5 + 1 = 19
The nearest multiple of 9 is 18.
19 - 18 = 1.
Answer: D
Question: On a game show, a contestant is given three keys, each of which opens exactly one of three identical boxes. The first box contains $2, the second $200, and the third $2000. The contestant assigns each key to one of the boxes and wins the amount of money contained in any box that is opened by the key assigned to it. What is the probability that a contestant will win more than $2000?
A.1/9
B.1/8
C.1/3
D.1/6
Answer: D.1/6
Explanation: Let's call the boxes that contain $2, $200, and $2000, respectively, Box A, Box B, Box C. These are opened, respectively, by Key A, Key B, and Key C.
We want to know the probability of winning more than $2000. Notice that if the distribution of keys is:
Box A = Key B
Box B = Key A
Box C = Key C
then the contestant wins exactly $2000, not more than $2000. The only configuration that leads to winning more than $2000 is:
Box A = Key A
Box B = Key B
Box C = Key C
i.e., getting all three keys correct. That's the only way to be more than $2000. So, really, the question can be rephrased: what is the probability of guessing the order of keys so that each key matches the correct box?
Well, for a set of three items, the number of possible permutations is 3! = 3*2*1 = 6.
Of those 6 possible permutations, only one of them leads to all three keys being paired with the right box. So, the answer is
Probability = 1/6,
Answer = D
Question: Given 3^n, for any real integer of n, which of the following is NOT a possible resultant?
A.19,683
B.17,7147
C.6,561
D.1,594,332
Answer: D.1,594,332
Explanation: Given that the answers have different last digits, there are several ways to solve this, but the most straight forward way is to check the algorithm. 3^n has a cycle of 4.
3^1 = 3
3^2 = 9
3^3 = 27
3^4 = 81
3^5 = 243
Observe that the last digit of the resultant of 3^1 and 3^5 is 3. If we continue 3^n, the last digit follows the pattern 3, 9, 7, 1, 3, 9, 7, 1, 3, .... So, all we need look for is the last digit in the pattern.
The answer with last digit 2.
Answer: D
Question: A person spent Rs. 8,550 from his salary on food and 8,640 on house rent. After that he was left with 40% of his monthly salary. What is his monthly salary ?
A.38,650
B.28,650
C.48,650
D.68,650
Answer: B.28,650
Explanation: Total money spent on food and house rent = 8,550+8,640 = 17,190
Which is 100 - 40 = 60% of his monthly salary
∴ His salary = 17190x100/60 = 28650
Answer : B
Question: In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ?
A.11
B.12
C.28
D.27
Answer: B.12
Explanation: Let the number of boys be x. Then, (3/4)x = 18 or x = 18 x(4/3) = 24.
If total number of students is y, then (2/3) y = 24 or y = 24 x (3/2) = 36.
Therefore Number of girls in the class = (36 - 24) = 12.
Answer: B
Question: In a class of 35 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
A.3
B.5
C.8
D.13
Answer: C.8
Explanation: Total # of students = 35
Avg # of books per student = 2
Total # of books = 35*2 = 70
# of student borrowed at least 3 books = 35-2-12-10 = 11
# of books borrowed by above 11 students = 70-(12*1)+(10*2) = 38
Considering that 10 out of above 11 students borrowed only 3 books, # of books borrowed = 10*3 = 30
So maximum # of books borrowed by any single student = 38-30 = 8
Option C
Question: Find the perimeter and area of the rectangle of length 11 cm and breadth 9 cm.
A.71 cm2
B.99 cm2
C.141 cm2
D.171 cm2
Answer: B.99 cm2
Explanation: length = 11 cm, breadth = 9 cm
Perimeter of rectangle = 2 (length + breadth)
= 2 (11 + 9) cm
= 2 × 20 cm
= 40 cm
We know that the area of rectangle = length × breadth
= (11 × 9) cm22
= 99 cm2
ANSWER : B
Question: 8 liters are drawn from a cask full of wine and is then filled with water. This operation is performed three more times . The ratio of the quantity of wine now left in cask to that of the water is 16:65. How much wine did the cask hold originally?
A.12
B.24
C.36
D.42
Answer: B.24
Explanation: Let the quantity of wine in the cask originally be x liters
quantity of wine left in cask after 4 operations = x(1 - 8/x)^4 liters
x(1 - 8/x)^4 /x = 16/81
(1-8/x)^4 = (2/3)^4
x = 24
Answer is B
Question: In an effort to plan out expenses, the Roberts family is representing its annual budget as a circle graph. Each sector of the graph is proportional to the amount of the budget it represents. If “clothes and shoes” takes up 72° of the chart, how much of the Roberts’s $20,000 annual budget is dedicated to clothes and shoes?
A.$1,500
B.$3,000
C.$4,000
D.$5,000
Answer: C.$4,000
Explanation: Given for clothes and shoes” takes up 72° of the circular chart.
Then clothes and shoes = 72/360 * 20000.
=> 4000.
IMO option C is correct answer...
Question: If f is a function defined for all k by f(k) = k^5 /16, what is f(3k) in terms of f(k)?
A.1/8 f(k)
B.5/8 f(k)
C.244 f(k)
D.243 f(k)
Answer: D.243 f(k)
Explanation: f(k) = k^5 /16
f(3k) = (3k)^5/16 = 243 * k^5 /16 = 243 * (k^5 /16) = 243 f(k).
So answer is D.
Question: A, B and C enter into a partnership with a capital in which A's contribution is Rs. 10,000. If out of a total profit of Rs. 1000, A gets Rs. 500 and B gets Rs. 300, then C's capital is?
A.4002
B.4029
C.4129
D.4000
Answer: D.4000
Explanation: A : B : C = 500 : 300 : 200 = 5 : 3 : 2.
Let their capitals be 5x, 3x and 2x respectively.
Then, 5x = 10000
=> x = 2000.
C's capital = 2x = Rs. 4000.
Answer: D
Question: Taps A and B can fill a bucket in 12 minutes and 15 minutes respectively. If both are opened and A is closed after 4minutes, how much further time would it take for B to fill the bucket?
A.6 min.
B.4 min.
C.5 min.
D.3 min.
Answer: A.6 min.
Explanation: Explanation:
Part filled in 4 minutes =
4∗(1/12+1/15)=4∗9/60=3/5
Remaining part =1−3/5=2/5
=>1/15:2/5=1:X
=>X=6
=>X=6 min.
So it will take further 6 min. to fill the bucket.
Option A
Question: Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond four years. If he pays a total interest of 11,500 at the end of nine years, how much money did he borrow?
A.10,105
B.12,105
C.14,105
D.16,105
Answer: B.12,105
Explanation: Let the sum borrowed be x. Then,
(x×6×21/00)+(x×9×3/100)+(x×14×4/100)= 11500
⇒ (3⁄25x + 27⁄100x + 14⁄25x) = 11400 ⇒ 95⁄100x = 11500
⇒ x = (11500×100/95)= 12105
Hence, sum borrowed = 12,105
Answer B
Question: 3 women and a few men participated in a chess tournament. Each player played two matches with each of the other players. If the number of matches that men played among themselves is 78 more than those they played with the women, how many more men than women participated in the tournament?
A.14
B.13
C.11
D.10
Answer: D.10
Explanation: let the number of men=m..
so 3 women and m men will play= 2*3m=6m games
m will play each other in mC2 way so number of games = 2*mC2= m(m-1)
Difference in two = m(m-1)-6m=78
m^2-7m-78=0
m^2-13m+6m-78=0
(m-13)(m+6)=0
so m = 13 or -6
cannot be -ive so m=13
difference in number of women and men= 13-3=10.. Imp that we do not choose 13 as the answer
ANS D
Question: Kamal started a business with Rs.25000 and after 4 months, Kiran joined him with Rs.60000. Kamal received Rs.58000 including 10% of profit as commission for managing the business. What amount did Kiran receive?
A.72000
B.720
C.82000
D.92000
Answer: A.72000
Explanation: Ratio of the profits = 25000*12 : 60000*8
= 25*12 : 60*8	= 5*3 : 12:2 = 5 : 4*2
= 5:8
Let the total profit = x.
Then Kamal received 10x/100 = x/10 as commission for managing the business
Remaining profit = x- x/10 = 9x/10 which is shared in the ration 5:8
Kamal's share = x/10 + (9x/10) * (5/13) = 58000
=> x + 9x(5/13) = 580000
=> x(1 + 45/13) = 580000
=> x ( 58/13) = 580000
=> x ( 1/13) = 10000
=> x = 130000
Kiran's share = 130000 - 58000 = 72000
Answer is A
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
A.10
B.99
C.77
D.55
Answer: A.10
Explanation: Speed of the boat in still water = (60+80)/2 = 70 kmph. Speed of the stream
= (80-60)/2
= 10 kmph.
Answer: A
Question: find two integers, neither of which ends in a zero, and whose product is exactly 100
A.4 and 25
B.60 and 15,625
C.64 and 15,620
D.64 and 15,635
Answer: A.4 and 25
Explanation: 100=10^2
=10x10
=(2x5)x(2x5)
=(2^2)x(5^2)
= 4x25
so the numbers are 4 and 25
ANSWER:A
Question: 600 km journey it will take 8hrs, if 120 km is done by bus and the rest by car. It takes 20 minutes more, if 200 km is done by busand the rest by car. The ratio of the speed of the train to that of the cars is?
A.1 : 3
B.3 : 4
C.2 : 5
D.1 : 4
Answer: B.3 : 4
Explanation: Let the speed of the train be x km/hr and that of the car be y km/hr.
Then, 120 + 480 = 8 1 + 4 = 1 ....(i)
x y x y 15
And, 200 + 400 = 25 1 + 2 = 1 ....(ii)
x y 3 x y 24
Solving (i) and (ii), we get: x = 60 and y = 80.
Ratio of speeds = 60 : 80 = 3 : 4.
B
Question: Two alloys A and B are composed of two basic elements. The ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 1 : 5, respectively. A new alloy X is formed by mixing the two alloys A and B in the ratio 4 : 3. What is the ratio of the composition of the two basic elements in alloy X ?
A.1 : 1
B.3 : 4
C.5 : 2
D.4 : 3
Answer: B.3 : 4
Explanation: Mixture A has a total of 5 + 3 = 8 parts. If in the final mixture this represents 4 parts, then the total number of parts in mixture B should be (8/4)*3 = 6.
So, we should take of mixture B a quantity with 1 and 5 parts, respectively.
This will give us in the final mixture (5 + 1) : (3 + 5), which means 6:8, or 3:4.
Answer B.