RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If y = 20! + 17, then y is divisible by which of the following?
I. 15
II. 17
III. 19
A. None
B. I only
C. II only
D. I and II
Answer: C. II only
Explanation: Another crude way to answer this, if you did not know the properties above would be to consider that that 20! will have the number ending in 00 due to 10 and 20 being included.
So y!+17 = xxxx00 +17 = xxxx17 which is only possibly divisible by 17. Hence Option C is the answer.
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 36 kmph and 72 kmph. In how much time will the trains cross each other?
A.40/6
B.40/3
C.40/9
D.40/2
Answer: B.40/3
Explanation: Relative speed = (36 + 72)* 5/18 = 30 mps.
The time required = d/s = (100 + 100 + 200)/30
= 400/30 = 40/3 sec.
Answer:B
Question: The sum of even numbers between 1 and 31 is
A.16
B.128
C.240
D.512
Answer: C.240
Explanation: Solution
Required numbers are 2, 4, 6,..30.
This is an A.P containing 15 terms.
Required sum	= n/2(first term + last term)
‹=›15 / 2(2+30)
‹=› 240.
Answer C
Question: Five machines at a certain factory operate at the same constant rate. If four of these machines, operating simultaneously, take 25 hours to fill a certain production order, how many fewer hours does it take all five machines, operating simultaneously, to fill the same production order?
A. 3
B. 5
C. 6
D. 16
Answer: B. 5
Explanation: Total work = 4*25 machine hrs
Time taken = 4* 25 /5 => 20 hours...
Thus all five machines, operating simultaneously will take ( 25 - 20 ) 5 hours..
Answer will be (B) 5
Question: Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 157 per Kg , the price of the third variety per Kg will be?
A.Rs. 147.50
B.Rs. 785.50
C.Rs. 179.50
D.Rs. 258.50
Answer: C.Rs. 179.50
Explanation: Explanation :
Since first and second varieties are mixed in equal proportions.
So, their average price =Rs. (126+135)/2.
=>Rs. 130.50.
So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1.
We have to find x.
By the rule of alligation, we have:
Cost of 1 kg Cost of 1 kg
of 1st kind of 2nd kind
(Rs. 130.50) (Rs. x)
\ /
Mean Price
(Rs. 157)
/ \
xâˆ’157 22.50
=>xâˆ’(157/22.50)=1.
=>xâˆ’157=22.50.
=>x= 179.50 Rs.
Answer : C
Question: A shopkeeper has 280 kg of apples. He sells 35% of these at 20% profit and remaining 60% at 30% profit. Find his % profit on total.
A.24%
B.25%
C.26%
D.28%
Answer: B.25%
Explanation: If the total quantity was 100
Then 35X 20% + 60 X30%= 25
This profit will remain same for any total quantity unless the % of products remains the same. Hence 'B' is the answer
Question: Company C produces toy trucks at a cost of $5.00 each for the first 100 trucks and $3.50 for each additional truck. If 500 toy trucks were produced by Company C and sold for $7.00 each, what was Company C’s gross profit?
A. $2,250
B. $2,500
C. $1,600
D. $1,250
Answer: C. $1,600
Explanation: Cost of 500 trucks: (100 * 5 ) + (400 * 3.5) = 500 + 1400 =$ 1900
Revenue : 500 * 7 = $3500
Profit: 3500 - 1900 = $ 1600
Option C is correct
Question: The speed of the boat in still water in 12 kmph. It can travel downstream through 42 kms in 3 hrs. In what time would it cover the same distance upstream?
A.8 hours
B.6 hours
C.4.2 hours
D.5 hours
Answer: C.4.2 hours
Explanation: Still Water=12km/hr
Downstream=42/3=14km/hr
Upstream=>> still water=(u+v/2) =>> 12=u+14/2 = 10km/hr
So time taken in upstream = 42/10 =4.2hrs
ANSWER:C
Question: The tax on a commodity is diminished by 20% and its consumption increased by 15%. The effect on revenue is?
A.9% decrease
B.8% decrease in revenue
C.6% decrease
D.1% decrease
Answer: B.8% decrease in revenue
Explanation: 100 * 100 = 10000
80 * 115 = 9200
-----------
10000-----------800
100-----------? => 8% decrease
Answer: B
Question: Because he’s taxed by his home planet, Mork pays a tax rate of 45% on his income, while Mindy pays a rate of only 25% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate?
A.29%
B.31%
C.33%
D.35%
Answer: A.29%
Explanation: Let x be Mork's income, then Mindy's income is 4x.
The total tax paid is 0.45x + 1.0x = 1.45x
1.45x / 5x = 0.29
The answer is A.
Question: If y = x^2 + d x + 9 does not cut the x-axis, then which of the following could be a possible value of d?
I. 0
II. -3
III. 9
A.III only
B.II only
C.I and II only
D.II and III only
Answer: C.I and II only
Explanation: Here C is the answer as A and B statements will provide the discriminant to be negative thereby making the x axis cutting impossible.
Hence only 1 and 2
thus C
Question: Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for S to be in the position where U is now shown. The number of degrees through which RSTU is rotated is
A. 180 degree
B. 160 degree
C. 225 degree
D. 270 degree
Answer: A. 180 degree
Explanation: From the options, I am assuming the positioning of U and S relative to each other to be as shown. To replace U by S, focus on OS. Say, you rotate OS clockwise (and with it the entire square) and bring it in place of OU. How many degrees did you go? You covered 2 right angles i.e. 180 degrees.
Answer : A
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 18 hrs and a machine of type S does the same job in 9 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
A.3
B.4
C.6
D.9
Answer: A.3
Explanation: Rate of machine R =1/18
Rate of machine S =1/9
since same no of machines used for R and S to do the same work in 2 hrs
So collective rate needed to finish the work in 2 hrs= 1/2
Let the no of machine be x
So, x/18 +x/9 =1/2
3x/18=1/2
x=18/6=3
So no of machine R is 3
Answer A
Question: 361, 289, 225, 169, 121, ?
A.36
B.49
C.64
D.81
Answer: C.64
Explanation: Explanation :
The pattern is 19^2, 17^2, 15^2, 13^2, 11^2, ...
So next number is 9^2 = 81
Answer : Option C
Question: Shri Prakash walked 40 metres facing towards North. From there he walked 50 metres after turning to his left. After this he walked 40 metres after turning to his left. How far and in what direction is he now from his starting point?
A.40 m, North
B.50 m, West
C.10 m, East
D.10 m, West
Answer: B.50 m, West
Explanation: 50 m , West
ANSWER:B
Question: James was hiking on a 10-mile loop trail at a rate of 2 miles per hour. Two hours into James’ hike, John started hiking from the same starting point on the loop trail at 4 miles per hour. What is the shortest time that John could hike on the trail in order to meet up with James?
A.0.5 hours
B.1 hour
C.2 hours
D.3 hours
Answer: B.1 hour
Explanation: we don't need to assume here the direction.we need to find which will take less time
so there are 2 cases
1)both moving in same direction...then time would be 2 hours
2)both moving in opposite direction then time would be 1 hour
as we need the shortest time it would be the second case
Answer:B
Question: A reduction of 20% in the price of oil enables a house wife to obtain 4kgs more for Rs.684, what is the reduced price for kg?
A.72
B.27
C.34
D.28
Answer: C.34
Explanation: 684*(20/100) = 136 ---- 4
? ---- 1 => Rs.34
Answer:C
Question: Five persons enter the lift of a seven storey building at the ground floor. In how many ways can they get out of lift on any floor other than ground floor
A.720
B.1296
C.1540
D.7776
Answer: D.7776
Explanation: Each person out of 5 has 6 floors (options) to get out of (since no one gets out on the ground floor), hence total ways is 6*6*6*6*6=6^5= 7776
Answer: D.
Question: Let f(x,y) be defined as the remainder when (x–y)! is divided by x. If x=24, what is the maximum value of y for which f(x,y)=0?
A.12
B.15
C.18
D.20
Answer: D.20
Explanation: The question is finding y such that (24-y)! is a multiple of 24. That means we need to have 2^3*3 in (24-y)!
4! is the smallest factorial number with 2^3*3 as a factor.
24-y = 4
y = 20
The answer is D.
Question: The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by3 months. Find the age of the teacher.
A.22
B.25
C.26
D.32
Answer: B.25
Explanation: Sol. Total age of 39 persons = (39 x 15) years
= 585 years.
Average age of 40 persons= 15 yrs 3 months
= 61/4 years.
Total age of 40 persons = (_(61/4 )x 40) years= 610 years.
:. Age of the teacher = (610 - 585) years=25 years.
ANSWER B
Question: In the fifth grade at Parkway elementary school there are 420 students. 312 students are boys and 250 students are playing soccer. 90% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?
A.69.
B.83.
C.81
D.91
Answer: B.83.
Explanation: Total students = 420
Boys = 312, Girls = 108
Total playing soccer = 250
90%of 250 = 225 are boys who play soccer.
Girls who play soccer = 25.
Total girls who do not play soccer = 108 - 25 = 83.
Correct option: B
Question: An analysis of the monthly incentives received by 5 salesmen : The mean and median of the incentives is $7000. The only mode among the observations is $12,000. Incentives paid to each salesman were in full thousands. What is the difference between W the highest and the lowest incentive received by the 5 salesmen in the month?
A.$4000
B.$5000
C.$9000
D.$11,000
Answer: D.$11,000
Explanation: Break down the question in to steps:
Step #1: incentives received by 5 salesmen -->abcde
Step #2: mean and median of the incentives is $7000: via number properties --> total incentives = 7,000 * 5 = 35, 000ab7,000de
Step #3: only mode among the observations is $12,000: mode is the value that appears most often in a set of data. Therefore 12,000 must occur more then once and since 12,000 is larger than the mean (7,000) the most it can occur is twice in our list. If we place the numbers in ascending order we haveab7,00012,00012,000
Step #4: What is the difference between the highest and the lowest incentive:
- The total paid has to equal mean * # of numbers = 7,000 * 5 = 35 000.
- The three values we have so far (12,000 12,000 and 7, 000) equal 31,000.
- Therefore the first two numbers( ab) must equal 4, 000
- There is only one mode which is 12,000, therefore 4,000 must be equal to a set of two numbers that are not the and a < b
if a = 1,000 b = 3,000 --> difference W between the highest and the lowest incentive = 12,000 - 1,000 =11, 000
no other options for a or b to fit the criteria
Final List:1,0003,0007,00012,00012,000
Answer D
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 7 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
A.23 years
B.24 years
C.25 years
D.26 years
Answer: C.25 years
Explanation: EXPLANATION
Let the average age of the whole team by x years.
11x â€“ (26 + 33) = 9(x -1)
11x â€“ 9x = 50 2x =50
x = 25.
So, average age of the team is 25 years.
Answer C
Question: A man rows his boat 95 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
A.10 kmph
B.6 kmph
C.5 kmph
D.8 kmph
Answer: A.10 kmph
Explanation: Speed downstream = d/t = 95/(2 1/2) = 38 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (38 - 18)/2 = 10 kmph
Answer:A
Question: Apple,INC recently conducted a survey and found that 50,000 of its customers live in rural areas. if the number of it customers who live in urban areas is 200 percents grater than the numbers of customers who live in rural areas, how many of Apple,INC customers live in urban areas ?
A.150,000
B.216,000
C.360,000
D.480,000
Answer: A.150,000
Explanation: Let's say that we have a starting value of X...
100% of X = X
100% MORE than X = X + X = 2X
200% MORE than X = X + 2X = 3X
300% MORE than X = X + 3X = 4X
Etc.
Here, we're told that 50,000 customers live in rural areas and the number who live in urban areas is 200% GREATER than the number who live in rural areas. That means that the number who are in urban areas is 3 times the number in rural areas...
3(50,000) = 150,000
Final Answer:A
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8700. If his salary for the month of May is Rs.6500, find his salary for the month of January?
A.s.3700
B.s.4570
C.s.4500
D.s.4550
Answer: A.s.3700
Explanation: Sum of the salaries of the person for the months of January, February, March and April
= 4 * 8000 = 32000 ----(1)
Sum of the salaries of the person for the months of February, March, April and May
= 4 * 8700
= 34800 ----(2)
(2)-(1) i.e. May - Jan = 2800
Salary of May is Rs.6500
Salary of January = Rs.3700
Answer:A
Question: Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?
A.12, 9
B.12,7
C.7, 14
D.13,12
Answer: B.12,7
Explanation: x â€“ y = 5
4x â€“ 6y = 6
x = 12 y = 7
Answer B
Question: From a container having pure milk, 20% is replaced by water and the process is repeated thrice. At the end of the third operation, the milk is
A.40% pure
B.50% pure
C.51.2% pure
D.58.8% pure
Answer: C.51.2% pure
Explanation: Solution
Let total quantity of original milk = 100 gm.
Milk after first operation = 80% of 1000
‹=› 800gm.
Milk after second operation = 80% of 800
‹=› 640gm.
Milk after third operation = 80% of 640
‹=› 512gm.
Strength of final mixtures = 51.2%.
Answer C
Question: If Y is the smallest positive integer that is not prime and not a factor of 50!, what is the sum of the factors of Y?
A.162
B.54
C.72
D.51
Answer: A.162
Explanation: In fact 51=3*17 IS a factor of 50!.
The smallest positive integer that is NOT prime and NOT a factor of 50! is 106=2*53. The sum of the factors of 106 is 162.
Answer: A.
Question: Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
A.34778
B.26888
C.2899
D.17600
Answer: D.17600
Explanation: Price at which the TV set is bought = Rs. 12,500
Discount offered = 20%
Marked Price = 12500 * 100/80 = Rs. 15625
The total amount spent on transport and installation = 125 + 250 = Rs. 375\Total price of TV set = 15625 + 375 = Rs. 16000
The price at which the TV should be sold to get a profit of 10% if no discount was offered = 16000 * 110/100
= Rs. 17600
Answer: D
Question: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
A.12.8 sec
B.12.9 sec
C.13.9 sec
D.16.8 sec
Answer: D.16.8 sec
Explanation: D = 110 + 170 = 280 m
S = 60 * 5/18 = 50/3
T = 280 * 3/50 = 16.8 sec
Answer:D
Question: What is the least number which when divided by 7, 9, 12 and 18 leaves remainder 4 in each care?
A.230
B.240
C.236
D.256
Answer: D.256
Explanation: Explanation:
LCM of 7, 9, 12 and 18 is 252
Required number = 252 + 4 = 256
Answer: Option D
Question: How many multiples of 10 are there between 10 and 290 ?
A.8
B.18
C.27
D.51
Answer: C.27
Explanation: It should be mentioned whether 10 and 290 are inclusive.
If 10 and 290 are inclusive, then the answer is (290-10)/10+1=29.
If 10 and 290 are NOT inclusive, then the answer is (280-20)/10+1=27.
Since OA is C, then we have NOT inclusive case.
Question: Solve This
5 + 4 + 1 = 145
8 + 2 + 3 = 328
9 + 6 + 5 = 569
4 + 0 + 2 = 204
Then, 7 + 7 + 4 = ???
A.407
B.417
C.477
D.427
Answer: C.477
Explanation: 477
ANSWER:C
Question: The length E of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?
A.Decreases by 19%
B.Decreases by 25%
C.Increases by 6%
D.Increases by 19%
Answer: D.Increases by 19%
Explanation: Let the length E of the rectangle be 100x, and width be 100y. Area = 100x * 100y = 10000xy
Now after the change Length = 85x, and width = 140 y. Area = 11900xy
% Change = (11900xy - 10000xy)/(10000xy) = 19 % Increase. Hence D.
Question: P can do a work in 24 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in --- days.
A.7
B.8
C.9
D.10
Answer: D.10
Explanation: Explanation :
Work done by P in 1 day = 1/24
Work done by Q in 1 day = 1/9
Work done by R in 1 day = 1/12
Work done by Q and R in 1 day = 1/9 + 1/12 = 7/36
Work done by Q and R in 3 days = 3×7/36 = 7/12
Remaining work = 1 – 7/12 = 5/12
Number of days in which P can finish the remaining work = (5/12) / (1/24) = 10
Answer : Option D
Question: Eight friends met for lunch at an expensive restaurant, and everyone decided to contribute equally to the total bill of $480. If one of the friends had a coupon for 25% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
A.$90
B.$70
C.$45
D.$37
Answer: C.$45
Explanation: 480 * 0,25 = 120
480 - 120 = 360
360 / 8 = 45
Answer C
Question: Four person are chosen at random from a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children, is
A.1/9
B.1/5
C.1/12
D.10/21
Answer: D.10/21
Explanation: n(S)=9C4=126
n(E)=4C2x5C2=60
P(E)=10/21
ANSWER D 10/21
Question: Find the mean proportional between 64 & 81?
A.A)59
B.B)61
C.C)63
D.D)72
Answer: D.D)72
Explanation: Formula = √a×b
A = 64 and B = 81
√64×81 = 8 × 9 = 72
D
Question: Set A {3,3,3,4,5,5,5} has a standard deviation of 1. What will the standard deviation be if every number in the set is multiplied by 2?
A.A)1
B.B)2
C.C)4
D.D)8
Answer: B.B)2
Explanation: Points to remember -
1. If oneAdd/Subtractthe same amont from every term in a set, SD doesn't change.
2. If oneMultiply/Divideevery term by the same number in a set, SD changes by same number.
Hence the answer to the above question is B
Question: 0.05 x 0.0173 is equal to:
A.8.65 x 10(power -4)
B.6.84 x 10(power -4)
C.4.68 x 10(power -4)
D.5.48 x 10(power -4)
Answer: A.8.65 x 10(power -4)
Explanation: 5 x 173 = 865. Sum of decimal places = 6.
So, 0.05 x 0.0173 = 0.000865 = 8.65 x 10(power -4)
Answer is A.
Question: A loan of Rs.700 is made at 9.5% simple interest for 4 months. How much interest is owed when the loan is due?
A.22.167
B.23.167
C.24.167
D.25.167
Answer: A.22.167
Explanation: si=p*r*t/100
=700*9.5*4/100*12
=22.167
ANSWER:A
Question: If a number is 30% more than the another, how much % is the smaller number less than the first ?
A.23%
B.25%
C.16(1/3)%
D.17%
Answer: A.23%
Explanation: Take a number 100,
Then the other number is 130
% the smaller number is less than the first = [(30/(130)) x 100]% = 23%.
ANSWER:A
Question: A, B and C invest in a partnership in the ratio: 7/2, 4/3, 6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 10,800, then what is B's share in the profit?
A.Rs. 2000
B.Rs. 3000
C.Rs. 4000
D.Rs. 5000
Answer: A.Rs. 2000
Explanation: Explanation :
Ratio of the initial investment = 7/2 : 4/3 : 6/5
= 105 : 40 : 36
From this ratio, we can assume that actual initial investments of A, B and C
are 105x, 40x and 36x respectively
A increases his share 50% after 4 months. Hence the ratio of their investments =
(105x * 4) + (105x * 150/100 * 8) : 40x * 12 : 36x : 12
= 105 + (105 * 3/2 * 2) : 40*3 : 36 * 3
= 105 * 4 : 40 *3 : 36 * 3
= 35 * 4 : 40 : 36
= 35 : 10 : 9
B's share = total profit * (10/54) = 10,800 * 10/54 = 2000. Answer : Option A
Question: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
A.12
B.77
C.66
D.88
Answer: A.12
Explanation: S = 1
M = x
DS = x + 1
US = x - 1
35/(x + 1) + 35/(x - 1) = 12
x = 6
Answer:A
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start at same point at 9:30 am. They shall first cross each other at ?
A.7:15 am
B.7:30 am
C.9: 42 am
D.7:50 am
Answer: C.9: 42 am
Explanation: Explanation:
Relative speed between two = 6-1 = 5 round per hour
They will cross when one round will complete with relative speed,
which is 1/5 hour = 12 mins.
So 9:30 + 12 mins = 9:42
Option C
Question: a, b, c, and d are positive integers where a is divisible by b and c is divisible by d. Which of the following is NOT necessarily an integer?
A.(ac)/(bd)
B.a/b + c/d
C.(a + c)/(b + d)
D.(abc)/d
Answer: C.(a + c)/(b + d)
Explanation: As per the question, let a = 10, b = 5, c = 6, and d = 2. Plugging these into the answer choices, only C does not yield an integer.
Question: The probability that a number selected at random from first 50 natural numbers is a composite number is
A.21/25
B.17/25
C.4/25
D.8/25
Answer: B.17/25
Explanation: The number of exhaustive events = 50C1 = 50. We have 15 primes from 1 to 50.
Number of favourable cases are 34.
Therefore, Required probability = 34/50 = 17/25.
ANSWER:B
Question: If x^4 + y^4 = 20, then the greatest possible value of x is between:
A.0 to 2
B.2 to 4
C.4 to 6
D.6 to 8
Answer: A.0 to 2
Explanation: The answers to this question provide a great 'hint' as to how to go about solving it; since they're all essentially 'ranges', you can use them to figure out which solution contains the maximum value of X.
We're told that X^4 + Y^4 = 20. To maximize the value of X, we need to minimize the value of Y^4. The smallest that Y^4 could be is 0 (when Y = 0), so we'll have....
X^4 = 20
Looking at the answers, it makes sense to see what 2^4 equals....
2^4 = 16
Since that is BELOW 20, and 3^4 will clearly be MORE than 20, we have the correct answer.
Final Answer:
A
Question: Find the value of 1.5 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
A.800
B.500
C.900
D.1200
Answer: D.1200
Explanation: Answer
1.5 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
= 1.5 x [(36 x 48 x 250) / (12 x 9 x 5)]
= 1.5 x 4 x 4 x 50 = 1200
Correct Option: D
Question: Sahil purchased a machine at Rs 11000, then got it repaired at Rs 5000, then gave its transportation charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it.
A.Rs. 22500
B.Rs. 25500
C.Rs. 26000
D.Rs. 28000
Answer: B.Rs. 25500
Explanation: Explanation:
Question seems a bit tricky, but it is very simple.
Just calculate all Cost price, then get 150% of CP.
C.P. = 11000 + 5000 + 1000 = 17000
150% of 17000 = 150/100 * 17000 = 25500
Option B
Question: A sum of Rs.1550 was lent partly at 8% p.a. simple interest. The total interest received after 3 years was Rs.300. The ratio of the money lent at 5% to that lent at 8% is :
A.16:18
B.16:10
C.16:15
D.16:11
Answer: C.16:15
Explanation: let the sum lent at 5% be Rs.x and that lent at 8% be Rs.(1550-x). then,
Interest on x at 5% for 3 years + interest on (1550-x) at 8% for 3 years = 300
Required ratio = x : (1550-x) = 800 : (1550-800) = 800 : 750 = 16 : 15
Answer: C) 16:15
Question: A number is doubled and 5 is added. If the resultant is trebled, it becomes 105. What is that number?
A.9
B.15
C.18
D.None of these
Answer: B.15
Explanation: Explanation:
Let the number be x.
Therefore,
3(2x + 5) = 105
6x + 15 = 105
6x = 90
x = 15
ANSWER: B
Question: A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containg 19% alcohol and now the percentage of alcohol was found to be 25%. What quantity of whisky is replaced ?
A.1/3
B.2/3
C.2/5
D.3/5
Answer: C.2/5
Explanation: Let us assume the total original amount of whiskey = 10 ml ---> 4 ml alcohol and 6 ml non-alcohol.
Let x ml be the amount removed ---> total alcohol left = 4-0.4x
New quantity of whiskey added = x ml out of which 0.19 is the alcohol.
Thus, the final quantity of alcohol = 4-0.4x+0.19x ----> (4-0.21x)/ 10 = 0.26 ---> x = 20/3 ml.
Per the question, you need to find the x ml removed as a ratio of the initial volume ---> (20/3)/10 = 2/5.
Hence, C is the correct answer.