RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If both 5^3 and 3^4 are factors of n x (2^5) x (12^2) x (7^3) x (10^2), what is the smallest possible positive value of n?
A.15
B.45
C.75
D.125
Answer: B.45
Explanation: (2^5) x (12^2) x (7^3) x (10) has two appearances of 3 (in 12^2) and two appearances of 5 (in 10^2).
Thus n must include at least 3^2 * 5 = 45
The answer is B.
Question: What is the smallest integer that satisfies the inequality ((x - 3)/ (x^2 - 8x - 20)) > 0?
A.-2
B.10
C.-1
D.3
Answer: C.-1
Explanation: Let us factorize the denominator and rewrite the expression as (xâˆ’3)/((xâˆ’10)(x+2))> 0
Equate each of the terms of the expression to zero to identify the values of x that are relevant to test whether the inequality holds good.
The values that are relevant to us are x = 3, x = 10 and x = -2.
Let us arrange these values in ascending order: -2, 3 and 10.
The quickest way to solve inequalities questions after arriving at these values is verifying whether the inequality holds good at the following intervals.
Interval 1: x < -2.
Pick a value in that range and check whether the inequality holds good.
Let us take x = -10. When x = -10, (xâˆ’3)/((xâˆ’10)(x+2))< 0; the inequality DOES NOT hold good in this interval.
Interval 2: -2 < x < 3.
Let us take x = 0. When x = 0, (xâˆ’3)/((xâˆ’10)(x+2)) = (0âˆ’3)/((0âˆ’10)(0+2)) > 0; the inequality holds good in this interval.
The least integer value that x can take if x > -2 is x = -1.
ANSWER : C.
Question: Eight children — A, B, C, D, E, F, G and H — are going to sit in eight chairs in a row. The children C & F have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?
A.600
B.720
C.10080
D.14320
Answer: C.10080
Explanation: for such questions , we can treat both as one then total person=7..
these 7 can be arranged in 7! ways.. but within these 7 , one consists of two people who can be arranged in 2 ways CF or FC.. so ans =7!*2=10080
ans C
Question: Students at a school were on average 180 cm tall. The average female height was 170 cm, and the average male height was 184 cms. What was the ratio D of men to women?
A. 5:2
B. 5:1
C. 4:3
D. 4:1
Answer: A. 5:2
Explanation: (A) D=184 x 5 + 170 x 2 = 1260.A
Question: A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 73 marks. The maximum marks are?
A.450
B.300
C.500
D.600
Answer: D.600
Explanation: Let the maximum marks be x
Then, 33% of x = 125+73
33x/100 = 198
x = 600
Answer is D
Question: Roberto has three children: two girls and a boy. All were born on the same date in different years. The sum of the ages of the two girls today is smaller than the age of the boy today, but a year from now the sum of the ages of the girls will equal the age of the boy. five years from today, the difference between the age of the boy and the combined ages of the girls will be
A.1
B.2
C.-4
D.–2
Answer: C.-4
Explanation: Approach I (Plugin's)
Girl I ............... Girl II ................ Boy
1 ....................... 1 ........................ 3 (Assume the current ages)
1 + 1 < 3 .......... (Satisfies the given condition)
1 Year later there ages are
2 ....................... 2 ......................... 4
2 + 2 = 4 ............ (Satisfies the given condition)
After 5 years there ages are
6 ....................... 6 ............................ 8
Difference = 8 - (6+6) = 8 - 12 = -4
Answer = C
Question: Two trains are traveling towards the same direction. First train is moving at speed of 100 km/hour and second train 200 km/hour.When will the head of first train start overtaking the second train.
A.2 hour
B.1 hour
C.2.5 hour
D.3.5 hour
Answer: C.2.5 hour
Explanation: Difference between the speed of two trains 750 – 500 = 250 km. In 60 minutes, the second train reduces the gap from the first train by 100 km. So, to reduce the gap of 250 km, the train will take 180 minutes or 2.5 hours.
Answer: C.
Question: If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm2) is?
A.100
B.272
C.287
D.189
Answer: A.100
Explanation: 4/3 π * 10 * 10 * 10 = 8 * 4/3 πr3
r = 5
4π * 5 * 5 = 100π
Answer:A
Question: Jim is now twice as old as Fred, who is nine years older than Sam. Six years ago, Jim was five times as old as Sam. How old is Jim now?
A.42
B.46
C.50
D.54
Answer: B.46
Explanation: J = 2F = 2(S+9) = 2S+18
J-6 = 5*(S-6)
(2S+18)-6 = 5S-30
S = 14 and so J = 46
The answer is B.
Question: A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?
A.11
B.24
C.55
D.66
Answer: B.24
Explanation: Distance from A and B be 'd'
Average Speed = total distance/total time
Average Speed = (2d)/[(d/20) + (d/30)]
= (2d)/[5d/60) => 24 kmph.
Answer: B
Question: 12 : 8 seconds :: ? : 4 minutes
A.10
B.15
C.6
D.8
Answer: C.6
Explanation: 12*4=8*x
x=6
ANSWER:C
Question: ) A cube is painted blue on all of its surfaces. It is then cut in to 27 smaller cubes of equal size. Find how many smaller cubes have no color?
A.1
B.3
C.8
D.5
Answer: A.1
Explanation: If the cube is cut in to 27 smaller cubes, then number of separations made = n = 3 (since 3×3×3=27). Number of smaller cubes with no color = (n–2)3 = (3–2)3 = 13 = 1
Answer:A
Question: Find the least number must be subtracted from 964807 so that remaining no.is divisible by 8?
A.7
B.6
C.5
D.4
Answer: A.7
Explanation: On dividing 964807 by 15 we get the remainder 7, so 7 should be subtracted
A
Question: In 1995 a certain store had 1,800 tools in stock that had been purchased for $30 each. If 1,000 of these tools were sold in 1995 for $50 each and the remaining 800 were sold in 1996 for $60 each, how many greater was the gross profit on the tools sold in 1996 than the gross profit on those sold in 1995?
A.$0
B.$4,000
C.$8,000
D.$32,000
Answer: B.$4,000
Explanation: The keyword here isGross Profit:
Gross Profit = (Selling Price - Original Price)*(# of Items Sold)
So lets figure out what the Gross Profit for 1995:
GP1995 = (50-30)*(1000) = 20000
And the Gross Profit for 1996:
GP1996 = (60-30)*(800) = 24000
So the difference would be:
24000-20000 = 4000
ANSWER: B. 4000
Question: What is the exact probability that, when rolling six fair dice, at least one of the dice shows a 6?
A.1
B.31031/46656
C.5/6
D.35625/46656
Answer: B.31031/46656
Explanation: For each dice, the probability of not rolling a 6 is 5/6. The total probability of not rolling a 6 is (5/6)^6. The correct answer is thus 1 - (5/6)^6 = 31031/46656, so the answer is B.
Question: The sum of ages of 5 children born 3 years different each is 50 yrs. What is the age of the Elder child?
A.10
B.12
C.16
D.19
Answer: C.16
Explanation: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
5x = 20
x = 4.
x+12= 4+12= 16
C
Question: 65% of the employees in a multinational corporation have VCD players, 75 percent have microwave ovens, 80 percent have ACs and 85 percent have washing machines. At least what percentage of employees has all four gadgets?
A.(a) 15%
B.(b) 5%
C.(c) 10%
D.(d) 20%
Answer: B.(b) 5%
Explanation: so 35% employees don't have VCD devices.
25% employees don't have MO
20% employees don't have ACs
15% employees don't have WM
Summ of employees that don't have some device = 35%+25%+20%+15% = 95% < 100%
So definitely at least 5% employees have 4 devices.
ans: B
Question: Insert the missing number.
2, 6, 12, 20, 30, 42, (....)
A.56
B.38
C.72
D.66
Answer: A.56
Explanation: Explanation:
The pattern is 1 x 2, 2 x 3, 3 x 4, 4 x 5, 5 x 6, 6 x 7
So, the next number is 7 x 8 = 56.
Answer: A) 56
Question: A person traveled 3 equal distances 20km/hr, 30km/hr, 60km/hr then find its avg speed?
A.20km/hr
B.30km/hr
C.22km/hr
D.19km/hr
Answer: B.30km/hr
Explanation: avg speed = 3xyz/(xy+yz+zx)
required answer is = 3*20*30*60/ (600+1800+1200) = 30km/hr
Answer is B
Question: How many minutes will be used to cover distance of 520m, if a man running at the speed of 15km/hr?
A.125 sec
B.124 sec
C.114 sec
D.115 sec
Answer: A.125 sec
Explanation: Explanation:
Distance = time × speed
= 125 sec.
Answer: A
Question: A bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. If the total time taken is 6 hours, then the distance covered at 40 kmph is
A.220 km
B.120km
C.100km
D.140km
Answer: A.220 km
Explanation: Let the partial distance covered at 40 kmph be X
Let the another partial distance covered at 60 kmph be (250 - x)
Thus, x/40 - (250 - x)/60 = 6
or, x/40 + (250 - x)/60 = 6
or, (3x + 500 - 2x)//120 = 6
or 500 + x = 720
x=220
ANSWER:A
Question: A and B can do a piece of work in 30 days and 30 days respectively. They work together for 10 days and B leaves. In how many days the whole work is completed?
A.30days
B.35days
C.40days
D.45days
Answer: A.30days
Explanation: Explanation:
(A+B)’s 10 days work = 10[1/30+1/30]=10[1+1/30]= 2/3
A complete remaining work in 2/3*30 = 20
Total work = 10+20 = 30days
Answer: Option A
Question: The overall age of X and Y is 11 year greater than the overall age of Y and Z. Z is how many decades younger that X?
A.11
B.15
C.12
D.17
Answer: A.11
Explanation: A
11
(X + Y) â€“ (Y + Z) = 11
X â€“ Z = 11
Question: A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
A.90
B.52
C.63
D.87
Answer: A.90
Explanation: Explanation:
Let number of notes of each denomination be x.
Then x + 5x + 10x = 480
16x = 480
x = 30.
Hence, total number of notes = 3x = 90.
Answer:A
Question: The averge score of a cricketer for ten matches is 66 runs. If the average for the first six matches is 54. Then find the average for the last four matches?
A.66
B.83.5
C.84
D.95
Answer: C.84
Explanation: sum of last 4 matches = (10 × 66) – (6 × 54)= 336
Average =
336/4
= 84
ANSWER:C
Question: Two persons starting from the same place walk at a rate of 8kmph and 15kmph respectively. What time will they take to be 14 km apart, if they walk in the same direction?
A.7 hrs
B.2 hrs
C.5 hrs
D.12 hrs
Answer: B.2 hrs
Explanation: The relative speed of the boys = 15kmph – 8kmph
= 7 kmph
Distance between them is 8.5 km
Time= 14km / 7 kmph =2 hrs
Answer : B
Question: 17 times a positive integer is more than its square by 70, then the positive integer is
A.13
B.10
C.11
D.12
Answer: B.10
Explanation: Explanation:
Let the number be x. Then,
17x = x2 + 70
=> x2 - 17x + 70 = 0
=>(x - 7)(x - 10) = 0
=> x = 7 or 10
Answer: B
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
A.288
B.350
C.889
D.276
Answer: B.350
Explanation: Speed = 300/18 = 50/3 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/39 = 50/3
3x + 900 = 1950 => x = 350 m.
Answer:B
Question: If log 2 = 0.3010 and log 3 = 0.4771, the values of log5 512 is
A.3.879
B.3.875
C.3.872
D.3.828
Answer: B.3.875
Explanation: ANS: log5512 = {\color{Black} \frac{\log 512}{\log 5}} = {\color{Black} \frac{\log 2^{9}}{\log (\frac{10}{2})}} ={\color{Black} \frac{9\log 2}{\log10-\log 2 }} ={\color{Black} \frac{(9\times 0.3010)}{1-0.3010 }} ={\color{Black} \frac{2.709}{0.699 }} ={\color{Black} \frac{2709}{699 }} =3.876
Answer: B) 3.875
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 in the same direction from the same point at 7.30 a.m. They shall first cross each other at?
A.12 min
B.16 min
C.18 min
D.15 min
Answer: A.12 min
Explanation: Since A and B move in the same direction along the circle, so they will first meet each other when there is a difference of one round between the two.
Relative speed of A and B = 6 - 1 = 5 rounds per hour.
Time taken to complete one round at this speed
= 1/5 hr
= 12 min.
Answer:A
Question: If .005^4 is represented in its shortest possible decimal form, how many 0’s to the right of the decimal point does it contain?
A.0
B.8
C.9
D.10
Answer: C.9
Explanation: 0.005^4= (5*10^-3)^4 = 625*10^-12 = 0.625*10^-9 which would have 9 zeros to the right of the decimal point. The answer is C.
Question: A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at:
A.4.6%
B.3.6%
C.6.4%
D.7.8%
Answer: C.6.4%
Explanation: C
6.4%
Income from $ 4000 at 5 % in one year = $ 4000 of 5 %.
= $ 4000 × 5/100.
= $ 4000 × 0.05.
= $ 200.
Income from $ 3500 at 4 % in one year = $ 3500 of 4 %.
= $ 3500 × 4/100.
= $ 3500 × 0.04.
= $ 140.
Total income from 4000 at 5 % and 3500 at 4 % = $ 200 + $ 140 = $ 340.
Remaining income amount in order to have a yearly income of $ 500 = $ 500 - $ 340.
= $ 160.
Total invested amount = $ 4000 + $ 3500 = $7500.
Remaining invest amount = $ 10000 - $ 7500 = $ 2500.
We know that, Interest = Principal × Rate × Time
Interest = $ 160,
Principal = $ 2500,
Rate = r [we need to find the value of r],
Time = 1 year.
160 = 2500 × r × 1.
160 = 2500r
160/2500 = 2500r/2500 [divide both sides by 2500]
0.064 = r
r = 0.064
Change it to a percent by moving the decimal to the right two places r = 6.4 %
Therefore, he invested the remaining amount $ 2500 at 6.4 % in order to get $ 500 income every year.
Question: If three distinct positive divisors of 64 are randomly selected, what is the probability that their sum will be less than 32?
A.1/3
B.1/2
C.2/7
D.10/21
Answer: C.2/7
Explanation: The positive divisors are 1, 2, 4, 8, 16, 32, 64.
If any of the first five are chosen, the sum will be less than 32.
P(sum is less than 32) = 5/7 * 4/6 * 3/5 = 12/42 = 2/7
The answer is C.
Question: A train speeds past a pole in 15 sec and a platform 140 m long in 25 sec, its length is?
A.238
B.150
C.988
D.210
Answer: D.210
Explanation: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 15 => y = x/15
(x + 140)/25 = x/15 => x = 210 m.
Answer: D
Question: A certain number of machines can do a work in 100days. If there were 10 machines more it could be finished in 10days less. How many machines are there?
A.50
B.40
C.90
D.100
Answer: C.90
Explanation: Original number of machines = 10 * (100-10)/10 = 90 machines
Answer is C
Question: For which of the following functions f is f(y) = f(1-y) for all y?
A.f (x) = 1 - x
B.f (x) = 1 - x^2
C.f (y) = y^2 - (1 - y)^2
D.f (y) = y^2*(1 - y)^2
Answer: D.f (y) = y^2*(1 - y)^2
Explanation: I remember seeing this problem in a GMATprep test. I think choice D should be F(y)=(y^2) (1-y)^2. If that is true then substituting (1-y) for will give us the same function back and the answer choice is D, where the function is multiplicative
Question: The expression x#y denotes the product of the consecutive multiples of 3 between x and y, inclusive. What is the sum of the exponents in the prime factorization of 21#27?
A.6
B.7
C.8
D.9
Answer: D.9
Explanation: First, let's translate the expression 21#27, using the definition given:
21#27 = 21×24×27
We need the prime factorization of this product.
Let's factor out 3 from each multiple.
21#27 = 3^3(7×8×9)
Now let's replace each consecutive integer with its prime factorization:
21#27 = 3^3(7×2^3×3^2)
Let's group the prime bases:
21#27 = 2^3×3^5×7
The sum of the exponents is 3 + 5 + 1 = 9
The answer is D.
Question: Two dice are tossed once. What is the probability of getting an even number on the first die or a total sum of 9 on the two dice?
A.4/9
B.5/9
C.7/18
D.11/18
Answer: B.5/9
Explanation: There are 36 possible outcomes for two dice.
The number of outcomes with an even number on the first die is 3*6=18.
The number of outcomes with a sum of 9 is 4.
We need to subtract the outcomes that have both an even number on the first die and a sum of 9 because we have counted those outcomes twice. This number of outcomes is 2.
The number of outcomes with either an even number on the first die or a sum of 9 is 18+4-2=20.
The probability is 20/36=5/9.
The answer is B.
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
A.16 kmph
B.18 kmph
C.14 kmph
D.79 kmph
Answer: C.14 kmph
Explanation: The ratio of the times taken is 2:1.
The ratio of the speed of the boat in still water to the speed of the stream
= (2+1)/(2-1) = 3/1 = 3:1
Speed of the stream = 42/3
= 14 kmph.
Answer: C
Question: A's salary is 40% of B's salary which is 25% of C's salary. What percentage of C's salary is A's salary ?
A.10
B.20
C.30
D.40
Answer: A.10
Explanation: A'S sal = 40% of B =40% Of (25% of C) = 40/100(25/100*100) % Of C = 10%
ANSWER A
Question: An article is bought for Rs.560 and sold for Rs.340, find the loss percent?
A.36%
B.38%
C.16%
D.39%
Answer: D.39%
Explanation: 560 ---- 220
100 ---- ? => 39%
Answer:D
Question: Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If 4 of the slips are the drawn, without replacement, what is the probability that all 4 have a odd number written on it?
A.1/12
B.1/10
C.1/8
D.1/42
Answer: D.1/42
Explanation: Key is that there is no replacement, so each successive choice will become more skewed towards picking a neg (i.e. the pool of positives decreases, while the pool of negatives stay the same)
P(+ on 1st pick) = 5/10
P(+ on 2nd pick) = 4/9
P(+ on 3rd pick) = 3/8
P(+ on 4rd pick) = 2/7
5/10*4/9*3/8*2/7=1/42
D
Question: A chemical tank of capacity 2000m3 which is 65% full is found to be leaking. The chemical in the tank needs to be transported to a new destination using tanker trucks. If the capacity of a truck is 16m3 which can be filled upto 93% full. How many truck loads would be needed to transport the chemical?
A.64
B.71
C.85
D.92
Answer: C.85
Explanation: Volume of chemical in the tank=2000x0.65=1300
Volume of the truck=16x.93=15.36
Number of truck loads needed= 1300/15.36=84.63â‰ˆ85
Answer: C
Question: The average of 65 numbers is 40. If two numbers, 79 and 60 are discarded, then the average of the remaining numbers is nearly
A.28.32
B.39
C.38.78
D.39.06
Answer: D.39.06
Explanation: Explanation :
Total sum of 63 numbers = (65*40) - (79 +60) = 2600 - 139 = 2461
Average = 2457/63 = 39.06
Answer : D
Question: If x+y=10z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z?
A. 4z-1
B. 3z
C. 5z
D. z/3
Answer: A. 4z-1
Explanation: Pick any number like X=12, Y=18 and Z= 3 so that X+Y=10Z, now then the arithmetic mean will be (12+18+3)/3=11. Now, just look at the answers and put the value of Z there.
(A) 4.3-1=11,it can be the answer, lets check us the other options
(B) 3.3=6, no
(C) 5.3=15, no
(D) 3/3, no
(E) (3.3)/2=3, no
so the answer will be A..
Question: In a bag containing 3balls, a white ball was placed and then 1ball was taken out at random. What is theprobability that the extracted ball would turn onto be white, if all possible hypothesisconcerning the color of the balls that initially in the bag were equally possible ?
A.3/5
B.5/8
C.6/7
D.7/8
Answer: B.5/8
Explanation: Since, all possible hypothesis regarding the colour of the balls are equally likely, therefore these could be 3 white balls, initially in the bag.
∴ Required probability = 1/4 [1 + 3/4 + 1/2 + 1/4]
= 1/4 [(4 + 3 + 2 + 1)/4] = 5/8
B
Question: A train 125 m long passes a man, running at 10 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
A.65 km/hr
B.17 km/hr
C.55 km/hr
D.50 km/hr
Answer: C.55 km/hr
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 - 10) km/hr.
x - 10 = 45 => x = 55 km/hr.
Answer: C
Question: Factor | Percent of Respondents |
User-friendly | 56% |
Fast response time | 48% |
Bargain prices | 42% |
The table gives three factors to be considered when choosing an Internet service provider and the percent of the 1,400 respondents to a survey who cited that factor as important. If 30 percent of the respondents cited both “user-friendly” and “fast response time,” what is the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?”
A.312
B.336
C.364
D.384
Answer: C.364
Explanation: The way I looked at is is as follows:
UserFriendly(UF) + FastResponse (FR) = 30%
UF leftover = 56 - 30 = 26%
FR leftover = 48 - 30 = 18%
Sum these = 74% (ie. 74% were either UF+FR, UF, FR)
26% leftover is the maximum number for Bargain Price
26/100 * 1400 = 26 * 14 = 364 (C).
Question: A man is trying to climb over a frozen mountain that is sixty feet high. Every minute, he can climb 3 feet, but due to the slippery ice, he slips back 2 feet.
How long will it take him to reach the top of the mountain?
A.57 minutes
B.58 minutes
C.59 minutes
D.53 minutes
Answer: B.58 minutes
Explanation: Solution:
It will take the man 58 minutes to reach the top.
Since he is climbing 3 feet and falling 2 feet back every passing minute, he is actually climbing 1 feet every minute.
Therefore, he would have climbed 57 feet in 57 minutes. The remaining distance is 3 feet. He will take one more minute to climb it and reach the surface. Since he has reached the top surface, he won't slip back.
58 minutes
Answer B
Question: The decimal d is formed by writing in succession all the positive, odd integers in increasing order after the decimal point; that is d = 0.1357911131517...
What is the 100th digit of d to the right of decimal point?
A.5
B.1
C.0
D.9
Answer: C.0
Explanation: One-digit odd numbers: There are (1)(10/2) = 5 odd one-digit numbers.
0.13579
5 digits down, 95 remaining. The next 5 odd numbers will be 11, 13, 15, 17, and 19, ... so it follows that: (2)(5) = 10 digits.
Two-digit numbers: 90 digits, which brings us to the number 99.
Three-digit numbers: we only need 5 more digits. The next odd numbers are 101, and 103, thus 0 is the 100th digit.
Answer: C
Question: There is 60 lit of milk and water in which milk forms 84%.Howmuch water must be added to this solution to make it solution in which milk forms 68%
A.14.11
B.19.75
C.20.75
D.21.75
Answer: A.14.11
Explanation: 60*84/100=50.40 lit milk that is 9.60 lit water
let x lit water will be added then
(60+x)*68/100=50.40
so x=14.11
ANSWER:A
Question: A sum of money lent out at S.I. amounts to a total of $520 after 2 years and to $820 after a further period of 5 years. What was the initial sum of money that was invested?
A.$340
B.$360
C.$380
D.$400
Answer: D.$400
Explanation: S.I for 5 years = $820 - $520 = $300
The S.I. is $60/year
S.I. for 2 years = $120
Principal = $520 - $120 = $400
The answer is D.
Question: A cricket bat is sold for $850, making a profit of $215. The profit percentage would be
A.24%
B.25%
C.34%
D.36%
Answer: C.34%
Explanation: 215/(850 - 215) = 215/635 = 43/127 =34%.
Answer: C.
Question: 2.2,5.5,8,36,40.5,263.25,?
A.269.75
B.279.75
C.289.75
D.299.75
Answer: A.269.75
Explanation: 5.5/2.2=2.5, 2.5+5.5=8
36/8=4.5, 4.5+36=40.5
263.25/40.5=6.5, 6.5+263.25=269.75
ANSWER:A
Question: A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
A.18:11
B.18:16
C.18:10
D.18:14
Answer: A.18:11
Explanation: A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 4 months and then withdraws Rs.4000. So, the investment of B for remaining 14 months is Rs.4000 only.
A : B
8000*18 : (8000*4) + (4000*14)
14400 : 88000
A:B = 18:11
Answer: A
Question: You are gifted a coin that is dated 378 B.C. How much worth the coin is as per your assumption?
A.1
B.0
C.2
D.5
Answer: B.0
Explanation: Solution:
The worth of that coin is zero. This is because the B.C. and A.D. dating system was not empowered till the year 525. So the coin is probably fake.
Answer B