RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
A.33809
B.12000
C.26692
D.16689
Answer: B.12000
Explanation: [1000 + (X-4000) * (2.5/100)] - X * (5/100) = 600
X = 12000
Answer: B
Question: By selling a product with 20% profit, how much profit was earned?
I. The difference between cost and selling price is Rs. 40.
II. The selling price is 120 percent of the cost price.
A.I alone sufficient while II alone not sufficient to answer
B.II alone sufficient while I alone not sufficient to answer
C.Either I or II alone sufficient to answer
D.Both I and II are not sufficient to answe
Answer: A.I alone sufficient while II alone not sufficient to answer
Explanation: EXPLANATION
Gain = 20%
I. Profit = (S.P.) – (C.P.) = Rs. 40.
Thus, I give the answer. But, II does not give the answer.
answer is (A).
Question: Nicky and Cristina are running a 400 meter race. Since Cristina is faster than Nicky, she gives him a 12 second head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?
A.40
B.25
C.35
D.30
Answer: D.30
Explanation: The distance traveled by both of them is the same at the time of overtaking.
3(t+12) = 5t
t=18.
Cristina will catch up Nicky in 18 seconds.
So in 18 seconds Cristina would cover = 18*5 = 90 meter.
Now Time taken my Nicky to cover 90 meter = 90/3 = 30 Seconds.
D
Question: Each person who attended a company meeting was either a stockholder in the company, an employee of the company or both. If 62 percent of these who attended the meeting were stockholders and 50 percent were employees. What percent were stockholders, who were not employees?
A.52
B.50
C.54
D.55
Answer: B.50
Explanation: I came up with the same answer choice B, but my approach was slightly different!
50% were employees which shall cover those who were only employees and those who were both shareholders and employees.
Thus, the number of attendants who were only shareholders is 100% - 50% = 50%.
Question: Which of the following is a possible length for side AB of triangle ABC if AC = 5 and BC = 9?
I. 4
II. 9 √3
III. 13.5
A.I only
B.II only
C.III only
D.II and III
Answer: C.III only
Explanation: (9-5) < AB < (9+5)
The answer is C.
Question: There is a vertical stack of books marked 1, 2, and 3 on Table-A, with 1 at the bottom and 3 on top. These are to be placed vertically on Table-B with 1 at the bottom and 2 on the top, by making a series of moves from one table to the other. During a move, the topmost book, or the topmost two books, or all the three, can be moved from one of the tables to the other. If there are any books on the other table, the stack being transferred should be placed on top of the existing books, without changing the order of books in the stack that is being moved in that move. If there are no books on the other table, the stack is simply placed on the other table without disturbing the order of books in it. What is the minimum number of moves in which the above task can be accomplished?
A.One
B.Two
C.Three
D.Four
Answer: D.Four
Explanation: Explanation :
1:2-3 moved to B
2:3 moved to A,
3:2 moved to A,
4: whole series shifted to B.
Hence, minimum number of moves is 4 .
Answer : D
Question: An automotive test consisted of driving a car the same distance three separate times, first at an average rate of 4 miles per hour, then 5 miles per hour, then 6 miles per hour. If the test took 74 hours to complete, how many miles was the car driven during the entire test?
A.310
B.320
C.300
D.360
Answer: D.360
Explanation: x is the segment to be traveled
x/4+x/5+x/6 =74
or 74x/120 =74
x = 120 miles . total distance =3*120 = 360 miles
D
Question: A can complete a project in 30 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?
A.18 days
B.27 days
C.26.67 days
D.5 days
Answer: D.5 days
Explanation: Let X = the number of days taken to complete the project.
The amount of work done by A is (x-10) * (1/20).
The amount of work done by B is (x) * (1/30).
(1/30)*(x-10) + (1/30)*(x) = 1
(x/30) + (x/30) - (10/30) = 1
2x/30 = 1/3
x =5
Therefore, the answer is D: 5.
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
A.5
B.6
C.7
D.8
Answer: A.5
Explanation: 160 = (180*4*R)/100
R = 5%.Answer: A
Question: What least number must be added to 1056, so that the sum is completely divisible by 23 ?
A.2
B.4
C.5
D.6
Answer: A.2
Explanation: 23) 1056 (45
92
---
136
115
---
21
---
Required number = (23 - 21)
= 2.
A)
Question: A and B are two circles. The radius of A is 5 times as large as the radius of B. What is the ratio between the areas of the circles?
A.1:8.
B.1:2.
C.1:4.
D.1:25.
Answer: D.1:25.
Explanation: Given : The radius of A is 5 times as large as the radius of B. => R(a) = 5R(b). The radius are in ratio of 1:5 thus the area will be in the ratio of square of radius. 1:25. Hence D.
Question: Arun has 13 boxes of chocolates with him, with an average of 17 chocolates per box. If each box has at least 11 chocolates and no two boxes have equal number of chocolates, then what can be the maximum possible number of chocolates in any box?
A.23
B.25
C.29
D.Can't be determined
Answer: A.23
Explanation: DETAILED SOLUTION
Total number of chocolates = 13 x 17 = 221
For one box to have maximum number of chocolates, the other boxes need to have minimum number of chocolates i.e. 11, 12, ………………….., 22
Total = 11 x 12 + (0+1+2+……………+11)
= 132 + 66 = 198
Therefore, maximum possible chocolates = 221 – 198 = 23
CORRECT ANSWER A.
Question: If X is the sum of first 20 positive even integers and Y is the sum of first 20 positive odd integers, what is the value of x-y?
Please try to explain your answers
A.0
B.20
C.50
D.75
Answer: B.20
Explanation: First even minus first odd = 2-1 = 1;
The sum of first 2 even integers minus the sum of first 2 odd integers = (2+4)-(1+3) = 2;
The sum of first 3 even integers minus the sum of first 3 odd integers = (2+4+6)-(1+3+5) = 3;
We can see the patterns here, so the sum of first 20 positive even integers minus the sum of first 20 positive odd integers will be 20.
Answer: B
Question: A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
A.186 ways
B.177 ways
C.188 ways
D.108 ways
Answer: D.108 ways
Explanation: The boy can select one trouser in nine ways.
The boy can select one shirt in 12 ways.
The number of ways in which he can select one trouser and one shirt is 9 * 12 = 108 ways.
Answer:D
Question: If x is an odd negative integer and y is an even integer, which of the following statements must be true? I. (3x + 2y) is positive integer II. (xy)^2 is positive integer III. (y^2 - x) is positive integer
A.I only
B.II only
C.II,III only
D.III only
Answer: C.II,III only
Explanation: I. It is true if 3x < 2y
II. It is always positive
III. It is true
Answer : C
Question: Find the odd man out
1, 2, 5, 14, 41, 124
A.2
B.14
C.124
D.41
Answer: C.124
Explanation: 1*3-1 =2
2*3-1 = 5
5*3-1 = 14
14*3-1 = 41
41*3 -1 = 122
ANSWER:C
Question: A dog breeder currently has 9 breeding dogs. 6 of the dogs have exactly 1 littermate, and 3 of the dogs have exactly 2 littermates. If 2 dogs are selected at random, what is the probability Q that both selected dogs are NOT littermates?
A.1/6
B.2/9
C.5/6
D.7/9
Answer: C.5/6
Explanation: We have three pairs of dogs for the 6 with exactly one littermate, and one triplet, with each having exactly two littermates.
So, in fact there are two types of dogs: those with one littermate - say A, and the others with two littermates - B.
Work with probabilities:
Choosing two dogs, we can have either one dog of type B or none (we cannot have two dogs both of type B).
The probability of choosing one dog of type B and one of type A is 3/9 * 6/8 * 2 = 1/2 (the factor of 2 for the two possibilities BA and AB).
The probability of choosing two dogs of type A which are not littermates is 6/9 * 4/8 = 1/3 (choose one A, then another A which isn't the previous one's littermate).
The required probability is 1/2 + 1/3 = 5/6.
Find the probability for the complementary event: choose AA or BB.
Probability of choosing two dogs of type A who are littermates is 6/9 * 1/8 = 1/12.
Probability of choosing two dogs of type B (who necessarily are littermates) is 3/9 * 2/8 Q= 1/12.
Again, we obtain 1 - (1/12 + 1/12) = 5/6.
Answer: C
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
A.10 years
B.12 years
C.14 years
D.15 years
Answer: A.10 years
Explanation: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.
(2x + 2) + 2x + x = 27
5x = 25
x = 5.
Hence, B's age = 2x = 10 years.
A)
Question: Heinz produces tomato puree by boiling tomato juice. The tomato puree has only 20% water while the tomato juice has 90% water. How many liters of tomato puree will be obtained from 25 litres of tomato juice?
A.2.8 liters.
B.3.125 liters.
C.8.5 liters.
D.2.6 liters.
Answer: B.3.125 liters.
Explanation: Answer:
Explanation:
In each of the solutions, there is a pure tomato component and some water. So while boiling, water evaporates but tomato not. So we equate tomato part in the both equations.
â‡’â‡’ 10%(25) = 80%(x)
â‡’â‡’ x = 3.125 liters.
Answer:B
Question: Matt gets a $1,000 commission on a big sale. This commission alone raises his average commission by $150. If Matt's new average commission is $700, how many sales has Matt made?
A.3
B.4
C.5
D.6
Answer: A.3
Explanation: Let, Average Commission = x
No. of items sold = y
Total Commission = xy
New Commission = xy+1000
New Average = (xy+1000) / (y+1) = 150+x
i.e. (xy+1000) = (y+1)* (150+x)
i.e. (xy+1000) = (xy+x+150y+150)
i.e. (850) = (x+150y)
New Commission = 700 = 150+x
i.e. x=550
i.e. y = 2
New Sales = y+1 = 3
Answer: option A
Question: How many integer values are there for x such that 1 < 3x + 5 < 17?
A.Two
B.Three
C.Four
D.Five
Answer: D.Five
Explanation: The inequality given is 1 < 3x+5 < 17
it can further reduced to -4 < 3x < 12
finally -4/3 < x < 4
So can only take 5 integer values i.e. -1,0,1,2,3
Correct answer - D
Question: Nine persons went to a hotel for taking their meals. Eight of them spent Rs 12 each on their meals and the ninth spent Rs.8 more than the average expenditure of all the nine. What was the total money spent by them?
A.117
B.180
C.150
D.200
Answer: A.117
Explanation: Exp. Let the total expenditure be x, Then the average = x/9,
8*12+ [x/9+8] =x or [ x-x/9] =104.
8x/9 = 104, x =104*9/8 =117.
Answer: A
Question: A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. What was the number he chose?
A.110
B.120
C.130
D.140
Answer: B.120
Explanation: Solution:
Let xx be the number he chose, then
2⋅x−138=102
2x=240
x=120
Answer B
Question: How many pounds of salt at 50 cents/lb must be mixed with 40 lbs of salt that costs 38 cents/lb so that a merchant will get 20% profit by selling the mixture at 48 cents/lb?
A.2
B.5
C.8
D.15
Answer: C.8
Explanation: Selling price is 48 cents/lb
For a 20% profit, cost price should be 40 cents/lb (CP*6/5 = 48)
Basically, you need to mix 38 cents/lb (Salt 1) with 50 cents/lb (Salt 2) to get a mixture costing 40 cents/lb (Salt Avg)
weight of Salt1/weight of Salt2 = (Salt2 - SaltAvg)/(SaltAvg - Salt1) = (50 - 40)/(40 - 38) = 5/1
We know that weight of salt 1 is 40 lbs. Weight of salt 2 must be 8 lbs.
Answer (C)
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
A.752
B.278
C.289
D.750
Answer: D.750
Explanation: Speed = [90 * 5/18] m/sec = 25 m/sec; Time = 1 min. = 60 sec.
Let the length of the train and that of the platform be x meters.
Then, 2x/60 = 25 è x = 25 * 60 / 2
= 750
Answer:D
Question: The smallest value of n, for which 2n+1 is not a prime number, is
A.3
B.4
C.5
D.None
Answer: B.4
Explanation: Solution
(2×1 + 1)	= 3.
(2×2 + 1)	= 5.
(2×3 + 1)	= 7.
(2×4 + 1)	= 9.
which is not prime ,	n=4.
Answer B
Question: How many pages the book have, if total 303 digits are used to form the page numbers?
A.135 pages
B.136 pages
C.137 pages
D.138 pages
Answer: C.137 pages
Explanation: First 9 pages .. 9 digits
next 90 pages .. 180 digits
next 38 pages ... 114 digits
----------------------
Total ...137 pages ...303 digits
ANSWER:C
Question: The MegaTek Corporation is displaying its distribution of employees by department in a circle graph. The size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. If the section of the circle graph representing the manufacturing department takes up 126° of the circle, what percentage of MegaTek employees are in manufacturing?
A.20%
B.25%
C.30%
D.35%
Answer: D.35%
Explanation: ANSWER: D 126° divided by 360° equals 0.35, therefore the sector is equal to 35% of the total
Question: in a school the ratio of boys and girls are in the ration 5:6 .25% of boys will get scholar ship and 20% of girls will get scholar ship what % of students wont get scholarship?
A.60%
B.78%
C.88%
D.98%
Answer: B.78%
Explanation: Boys : Girls => 5x : 6x
Total no. of students including boys nd girls = 5x+6x = 11x
25% of boys => 5x*25/100 = 5x/4
20% of girls => 6x*20/100 =6x/5
No. of students who are getting scholarship => 5x/4 + 6x/5 = 49x/20
No. of students who are not getting scholarship = 11x - 49x/20 = 171x/20
% of students not getting scolorship => 171x/20/11x * 100
=> 100*171x/220x
= 77.7%
ANSWER:B
Question: How many positive integer solutions does the equation 2x+1y = 100 have?
A.44
B.33
C.50
D.35
Answer: C.50
Explanation: formula: (constant)/(lcm of two nos)
=100/(2*1)=50
ANSWER:C
Question: A travel agent offers a vacation plan which costs x dollars for the first day, and x/2 for each additional day.
How much does a vacation of y days cost, where y > 1.
A.yx/2
B.(yx+x)/2
C.(yx+x)/3
D.(yx+x)/5
Answer: B.(yx+x)/2
Explanation: Cost = x + (y-1)*x/2 = (2x + (y - 1)*x)/2 = (yx+x)/2
Answer is B
Question: If n is an integer, then which of the following statements is/are FALSE?
I)n^3 – n is always even.
II)8n^3 +12n^2 +6n +1 is always even.
III)√ (4n^2 – 4n +1) is always odd.
A.I only
B.II only
C.I and II only
D.II and III only
Answer: B.II only
Explanation: 1) n^3 – n
n^2(n-1)
two cases
if n=odd then n-1 is even thus n^2(n-1) is even
if n=even then n^2 is even thus n^2(n-1) is even------>true for all cases
2) 8n^3 +12n^2 +6n +1
8n^3 +12n^2 +6n=Even
but Even +1 =odd------------>Always False
3) for this i tried picking number upto 15 and find all cases True------>True
However will be looking for any algebraic solution
Ans B
Question: k, l, m together started a business. k invested Rs.6000 for 5 months l invested Rs.3600 for 6 months and m Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of l ?
A.2162
B.2112
C.2160
D.2212
Answer: C.2160
Explanation: => 60x5 : 36x6 : 75x3
=> 100 : 72 : 75
=> 72/247 x 7410 = Rs.2160
Answer: C
Question: A car drives 60 miles on local roads at 20 mph, and 120 miles on the highway at 60 mph, what is the average speed of the entire trip?
A.36 mph
B.40 mph
C.44 mph
D.52 mph
Answer: A.36 mph
Explanation: So The Answer is Plainly A....
we have a general relation for speed , time and distance : v (velocity) * t ( time)= d (distance)
for first part we have d=60 miles , and v= 20 mph so we can obtain time : 20*t = 60 Or t= 60/20 = 3 hours the needed time to cover 60 miles
in the same way we should divide 120 to 60 to find the needed time to cover 120 miles ,so t= 2 hours
so the total time for covering total distance would be 3+2 = 5 hours and total distance is 60+120= 180 miles
Final stage : average speed is total distance divide to total time : 180/5 = 36 miles per hour....
Question: A barrel holds 4 quarts of tar and 4 quarts of turpentine. How many quarts of turpentine must be added to the container to create a mixture that is 3 parts tar to 5 parts turpentine by volume?
A.4/3
B.5/3
C.7/3
D.8/3
Answer: D.8/3
Explanation: An alternate to the alligation method is the more direct/algebraic method:
Let x be the amount of turpentine to be added.
New total amount of turpentine = 4+x
Total amount of tar= 4
New total = 4+4+x=8+x
Final ratio required (for turpentine) = 5/(5+3)=5/8
Thus, (4+x)/(8+x) = 5/8 --> solving for x you get x = 8/3.
D is thus the correct answer.
Question: Mice can multiply very fast. Adult mice can give birth once every month, and baby mice grow into adult mice in just two months after they are born. If you would buy a baby mouse just after it was born, how many mice would you have in 10 months?
A.1
B.2
C.3
D.4
Answer: A.1
Explanation: One. You cannot have more mice if you start with one!
Answer A
Question: Find the number of ways in which 5 identical balls can be distributed among 10 identical boxes, if not more than one ball can go into a box?
A.21
B.252
C.78
D.145
Answer: B.252
Explanation: Required number of ways = 10C5 = 10!/5!5! = 252
Answer is B
Question: Joshua and Jose work at an auto repair center with 6 other workers. For a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Joshua and Jose will both be chosen?
A.1/15
B.1/12
C.1/28
D.1/6
Answer: C.1/28
Explanation: Two Methods
1) Probability of chosing Josh first = 1/8
Probability of chosing Jose second = 1/7
total = 1/56
Probability of chosing Jose first = 1/8
Probability of chosing Josh second = 1/7
Total = 1/56
Final = 1/56+ 1/56 = 1/28
C
Question: A company selected 250 zip codes in Northeastern, Florida, Arizona and California in order to mail a product catalog. The number of Northeastern zip codes was twice Florida's, and four times Arizona's, and 4/3 California's. 75,000 catalogues were mailed to California and 25% resulted in product orders. What is the ratio of the number of orders to the number of California's zip codes?
A.a) 250
B.b) 750
C.c) 1,000
D.d) 1,250
Answer: A.a) 250
Explanation: Since N = 2F, no of Florida zip codes (F) will be N/2.
Since N = 4A, no of Arizona zip codes (A) will be N/4
Since N = (4/3)C, no of California zip codes (C) will be 3N/4
N + N/2 + N/4 + 3N/4 = 5N/2 = 250
N = 100
C = 3N/4 = 75
No of orders is 25% of 75,000 = 18,750
So required ratio = 18,750/75 = 250
Answer A
Question: Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer)
A.2277
B.2888
C.2988
D.4266
Answer: D.4266
Explanation: CI = 14800{ [ 1 + 13.5/100]2 - 1 }
= 14800 { [1 + 27/200]2 - 1
= 14800 { 2 + 27/200}{27/200}
= (74)[2 + 27/200](27) =
1998[2 + 27/200] = 3996 + 269.73 = Rs. 4266
Answer: D
Question: For any four digit number, abcd, *abcd*= (3^a)(5^b)(7^c)(11^d). What is the value of (n – m) if m and n are four digit numbers for which *m* = (3^r)(5^s)(7^t)(11^u) and *n* = (25)(*m*)?
A.2000
B.200
C.25
D.20
Answer: B.200
Explanation: bcd is a four digit number where a, b, c and d are the 4 digits.
*abcd*= (3^a)(5^b)(7^c)(11^d). The '**' act as an operator.
Given: *m* = (3^r)(5^s)(7^t)(11^u)
So m = rstu where r, s, t, and u are the 4 digits of m.
Say, r = 1 and s = 0, t = 0 and u = 0
m = 1000
Then *m* = 3
Now,
*n* = (25)(*m*) = 25(3) = (3^1)(5^2)(7^0)(11^0)
n = 1200
n - m = 1200 - 1000 = 200
ANSWER:B
Question: Ajay can ride 50km in 1 hour. In how many hours he can ride 1500km?
A.30hrs
B.15hrs
C.20hrs
D.25hrs
Answer: A.30hrs
Explanation: 1 hour he ride 50km
he ride 1500km in = 1500/50 * 1 = 30hours
Answer is A
Question: A plot is sold for Rs. 18,700 with a loss of 15%. At what price it should be sold to get profit of 15%.
A.Rs 25300
B.Rs 22300
C.Rs 24300
D.Rs 21300
Answer: A.Rs 25300
Explanation: Explanation:
This type of question can be easily and quickly solved as following:
Let at Rs x it can earn 15% pr0fit
85:18700 = 115:x [as, loss = 100 -15, Profit = 100 +15]
x = (18700*115)/85
= Rs.25300
Answer: A
Question: For all integers a and b, a%b = (a + b)(a - b). If 9%x = 17, then which of the following could be a value of x?
A.-8
B.-7
C.2
D.3
Answer: A.-8
Explanation: 9%x = (9+x)(9-x)
81-x^2 = 17
x^2 = 64
x=-8,8
Ans: A
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
A.920
B.289
C.999
D.270
Answer: C.999
Explanation: a2 = 3136 => a = 56
56 * 4 * 3 = 672 – 6 = 666 * 1.5
= 999
Answer:C
Question: An aeroplane covers a certain distance at a speed of 300 kmph in 6 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
A.1008 kmph
B.760 kmph
C.1080 kmph
D.1070 kmph
Answer: C.1080 kmph
Explanation: Explanation: Distance = (300 x 6) = 1800 km.
Speed = Distance/Time
Speed = 1800/(5/3) km/hr. [We can write 1 2/3 hours as 5/3 hours]
Required speed = 1800 x 3/5 km/hr = 1080 km/hr.
Answer: Option C
Question: If each edge of cube increased by 30%, the percentage increase in
A.69
B.72
C.64
D.61
Answer: A.69
Explanation: 100 × (130)/100 × (130)/100 = 169 => 69%
Answer is A.
Question: In how many different number of ways a combination of 3 men and 2 women can be selected from 6 men and 5 women?
A.10
B.20
C.30
D.40
Answer: B.20
Explanation: 6C3
= 6!/(3! . 3!)
= (6 × 5 × 4)/(3 × 2)
= 5 × 4 = 20
B)
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
A.2882
B.2277
C.2697
D.6725
Answer: D.6725
Explanation: CP = SP * (100/(100 + profit%))
= 8339(100/124)
= Rs. 6725.
Answer:D
Question: The average salary per month of 55 employees in a company is Rs 8500. If the managers salary is added, the average salary increases to Rs 8800, what is the salary of the manager ?
A.10000
B.12000
C.23000
D.25300
Answer: D.25300
Explanation: Explanation :
Salary of the manager = (56*8800 - 55*8500)
= 25300
Answer : D
Question: The contents of a certain box consist of 24 plums and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be plums?
A. 24
B. 26
C. 30
D. 46
Answer: B. 26
Explanation: plums = (plums + kiwi + x)*0.3
24 = (30 + 24 + x)*0.3
x = 26.
Answer: B.
Question: A sum of money at simple interest amounts to Rs. 815 in 4 years and to Rs. 854 in 5 years. The sum is:
A.659
B.698
C.780
D.910
Answer: A.659
Explanation: Sol.
S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 4 years = Rs. (39 * 4) = Rs. 156.
âˆ´ Principal = Rs. (815 - 156) = Rs. 659
Answer A
Question: 9 engines consume 24 metric tonnes of coal, when each is working 8 hours day. How much coal is required for 8 engines, each running 13 hours a day, if 3 engines of former type consume as much as 4 engines of latter type?
A.20 metric tonnes
B.22 metric tonnes
C.24 metric tonnes
D.26 metric tonnes
Answer: D.26 metric tonnes
Explanation: Explanation:
Let required amount of coal be x metric tones
More engines, more amount of coal (direct proportion)
If 3 engines of first type consume 1 unit, then 1 engine will consume 13 unit which is it’s the rate of consumption.
If 4 engines of second type consume 1 unit, then 1 engine will consume 14 unit which is it’s the rate of consumption
More rate of consumption, more amount of coal (direct proportion)
More hours, more amount of coal(direct proportion)
Hence we can write as
(engines) 9:8
(consumption rate )13:14
(hours) 8:13::24}::x
⇒9×1/3×8×x=8×1/4×13×24
⇒3×8×x=8×6×13
⇒3×x=6×13
⇒x=2×13=26
Answer: Option D
Question: Operation#is defined as adding a randomly selected two digit multiple of 8 to a randomly selected two digit prime number and reducing the result by half. If operation#is repeated 10 times, what is the probability that it will yield at least two integers?
A.0%
B.10%
C.20%
D.30%
Answer: A.0%
Explanation: Any multiple of 8 is even.
Any two-digit prime number is odd.
(even+odd)/2 is not an integer. Thus # does not yield an integer at all.
Therefore P=0.
Answer: A.