mathewhe/aqua_rat huggingface dataset:
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 2 of the slips are the drawn, without replacement, what is the probability that both have a even number written on it?
(A) 1/12
(B) 1/10
(C) 1/8
(D) 1/2
(E) 2/9
Rationale: 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
5/10*4/9=2/9
E
Answer: (E) 2/9
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 75 km/hr?
(A) 25
(B) 30
(C) 99
(D) 88
(E) 61
Rationale: Speed of train relative to man = 75 - 3 = 72 km/hr.
= 72 * 5/18 = 20 m/sec.
Time taken to pass the man = 500 * 1/20 = 25 sec.
Answer: A
Answer: (A) 25
Question: John was thrice as old as Tom 6 yrs back. He will be 5/3 times as old as Tom 6 years hence. How old is Tom today?
(A) 8
(B) 10
(C) 12
(D) 16
(E) 18
Rationale: Sol. RMBflSk -6 = 3 (Ravi - 6) ...(j)
and Rupesh + 6 = | (Ravi + 6) ...(ii)
Solving both the equations we get,
John= 12 years.
C
Answer: (C) 12
Question: the cyclist walking at a constant rate of 15 miles per hour is passed by a car traveling in the same direction along the same path at 60 miles per hour. the car stops to wait for the cyclist for 6 minutes after passing her, while the cyclist continues to go at her constant rate, how many minutes must the car wait until the cyclist catches up?
(A) 9
(B) 10
(C) 12
(D) 15
(E) 18
Rationale: For the 6 minutes the car continues to overtake the cyclist, she is going at 45 miles per hour faster than the cyclist.
Once the car stops, the cyclist is going at 15 miles per hour while the car is at rest
So the amount of time the cyclist will take to cover the distance between them is going to be in the ratio of the relative speeds. 45/15 * 6 or 18 minutes
Answer is (E)
Answer: (E) 18
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 840 grams per kg, what is his percent?
(A) 19
(B) 25
(C) 77
(D) 88
(E) 11
Rationale: 840 --- 160
100 --- ? => 19%
Answer:A
Answer: (A) 19
Question: The visitors of a modern art museum who watched a certain Picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it. According to the results of the survey, all 110 visitors who did not enjoy the painting also did not feel they had understood the painting, and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting. If 3/4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting, then how many visitors answered the questionnaire?
(A) 90
(B) 120
(C) 160
(D) 360
(E) 440
Rationale: If we exclude those cases and take the question at face value, then it seems straightforward.
Group #1 = (didn't like, didn't understand) = 110
Group #2 = (like understood) = 3/4
(1/4)N = 110
N = 440
Answer =(E)
Answer: (E) 440
Question: A person started from point A to point B and returned back to A with a speed of 60 kmh. If the distance between A and B is 120km, calculate the time he travelled
(A) 4 hours
(B) 2 hours
(C) 3 hours
(D) 6 hours
(E) 5 hours
Rationale: Time = Distance/Speed
Total distance = (from A->B and from B->A) = 120+120=240 km
Speed = 60 kmh
240/60 = 4
Answer: A
Answer: (A) 4 hours
Question: If the sum of three consecutive even numbers is 44 more than the average of these numbers, then the largest of these numbers is?
(A) 24
(B) 66
(C) 9
(D) 7
(E) 01
Rationale: ANSWER: 24
Explanation:
Let the smallest of these number be x. The other two numbers are (x + 2) and (x + 4).
x + (x + 2) + (x + 4) = (X + (X+2) + (x+4)) / 3 + 44
3x + 3*(x + 2) + 3*(x + 4) = x + (x + 2) + (x + 4) + 132
9x + 18 = 3x + 138
6x = 120
x = 20
Therefore, the largest number is 24.
ANSWER: A
Answer: (A) 24
Question: If a: b :: 3 : 7, then what is (5a+6b): (a-2b)?
(A) 57:11
(B) -57:11
(C) 11 : 10
(D) -11 : 10
(E) -1 : 10
Rationale: a/b= 3/7
Dividing numerator & denominator of ' (5a+6b)/(a-2b) 'by b,
[5(a/b)+6]/[(a/b)-2]= [5*(3/7)+6]/[(3/7)-2]= -57/11
ANSWER:B
Answer: (B) -57:11
Question: A is twice as good a workman as B and they took 8 days together to do the work B alone can do it in.
(A) 24 days
(B) 12 days
(C) 29 days
(D) 25 days
(E) 27 days
Rationale: WC = 2:1
2x + x = 1/8
x = 1/24 => 24 days
ANSWER:A
Answer: (A) 24 days
Question: A can do a job in 16 days, B can do same job in 12 days. With the help of C they did the job in 4 days. C
alone can do the same job in how many days ?
(A) 612days
(B) 712days
(C) 835days
(D) 935days
(E) None of these
Rationale: Explanation:
In this question we having, A's work, B's work and A+B+C work. We need to calculate C's work.
We can do it by,
(A+B+C)'s work - (A's work + B's work)
Let's solve it now:
C's 1 day work =
14−(116+112)=(14−748)=548
So C can alone finish the job in 48/5 days,
Which is =
935days
Answer: D
Answer: (D) 935days
Question: Bert and Rebecca were looking at the price of a condominium. The price of the condominium was 25% more than Bert had in savings, and separately, the same price was also 50% more than Rebecca had in savings. What is the ratio of what Bert has in savings to what Rebecca has in savings.
(A) 1:5
(B) 2:5
(C) 3:5
(D) 4:5
(E) 1:1
Rationale: Suppose bert had 100 so price becomes 125 , this 125 = 1.5 times R's saving .. so R's saving becomes 250
So required ratio is 100:250=2:5
ANSWER:B
Answer: (B) 2:5
Question: A cylindrical vessel of a certain height and radius can hold 30 liters of water in it when filled to the brim. All the water in the cylindrical vessel is transferred to a spherical vessel. If the height and radius of the cylindrical vessel is the same as the radius of the spherical vessel, what percentage of the capacity of the spherical vessel will remain empty after the transfer?
(A) 0%
(B) 16.67%
(C) 25%
(D) 33.33%
(E) 50%
Rationale: Let R and H be the radius and height of the cylinder.
Let r be the radius of the sphere.
Volume of cylinder = Vc = π∗R2∗Hπ∗R2∗H = 30---> As both radius and height of the cylinder are equal to the radius of the sphere ---> R=H=r --->π∗r3π∗r3 = 30
Additionally, volume of the sphere = Vs =4π∗r334π∗r33 = 4/3*30 = 40 l
Thus the % of sphere volume still empty = 10/40 = 25%. C is the correct answer
Answer: (C) 25%
Question: A fruit seller had some oranges. He sells 30% oranges and still has 420 oranges. How many oranges he had originally?
(A) 420
(B) 600
(C) 220
(D) 400
(E) None of these
Rationale: Explanation :
He sells 30% of oranges and still there are 420 oranges remaining
=> 70% of oranges = 420
⇒ (70 × Total Oranges)/100 = 420
⇒ Total Oranges/100 = 6
⇒ Total Oranges = 6 × 100 = 600
Answer : Option B
Answer: (B) 600
Question: A man is 18 years older than his son. In two years, his age will be twice the age of his son. The
present age of his son is
(A) 20 years
(B) 16 years
(C) 22 years
(D) 24 years
(E) 26 years
Rationale: Explanation:
Let the son's present age be x years. Then, man's present age = (x + 18) years
=> (x + 18) + 2 = 2(x + 2)
=> x + 20 = 2x + 4
So, x = 16
Answer: Option B
Answer: (B) 16 years
Question: A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
(A) 1
(B) 1/2
(C) 1/5
(D) 1/7
(E) 2
Rationale: Suppose the vessel initially contains 8 litres of liquid.
Let x litres of this liquid be replaced with water.
Quantity of water in new mixture = 3 -	3x	+ x litres
8
Quantity of syrup in new mixture = 5 -	5x litres
8
3 -	3x	+ x = 5 -	5x
8	8
5x + 24 = 40 - 5x
10x = 16
x =	8	.
5
So, part of the mixture replaced = 8	x	1 =	1	.
5	8	5
Option C
Answer: (C) 1/5
Question: A man desired to get into his work building, however he had forgotten his code.
However, he did recollect five pieces of information
-> Sum of 5th number and 3rd number is 14.
-> Difference of 4th and 2nd number is 1.
-> The 1st number is one less than twice the 2nd number.
->The 2nd number and the 3rd number equals 10.
->The sum of all digits is 30.
Crack the code ?
(A) 7+4+5+5+9
(B) 7+4+6+5+8
(C) 7+4+7+5+9
(D) 6+4+6+5+9
(E) None
Rationale: Solution:
74658
* 8 + 6 =14
* 5 - 4 = 1
* 7 = 2*4 - 1
* 4 + 6 = 10
* 7+4+6+5+8 = 30
Answer B
Answer: (B) 7+4+6+5+8
Question: On a Monday in a certain restaurant, 20 percent of the 160 customers ordered the daily special. On Tuesday, only 10 percent of the 120 customers ordered the special. For the two days combined, what percent of the customers ordered the daily special?
(A) 14%
(B) 16%
(C) 18%
(D) 23%
(E) 30%
Rationale: 20% of 160= 32
10% of 120=12
Total =44
percent for 2 days combined =44/300 ≈ 0.1466. so it should be less than 0.1466 so it is 14%
Answer:A
Answer: (A) 14%
Question: The mean of four integers Q will not change if all the integers are multiplied by any constant. What is always true about this set of numbers?
I. The mean of the set is 0
II. The sum of the largest member and the smallest member of the set is 0
III. The set contains both positive and negative integers
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III
Rationale: If we consider a set {1,2,3,4}, when multiplied with a constant we take that constant as 1 and multiply resulting set will contain the same numbers as the original. so how can the answer be I only.....A
Answer: (A) I only
Question: Jerry travels 8 miles at an average speed of 40 miles per hour, stops for 14 minutes, and then travels another 20 miles at an average speed of 60 miles per hour. What is Jerry’s average speed, in miles per hour, for this trip?
(A) 36
(B) 42.5
(C) 44
(D) 50
(E) 52.5
Rationale: Total Time taken by jerry = (8/40)*60 Minutes + 14 Minutes + (20/60)*60 Minutes = 46 Minutes
Average Speed = Total Distance / Total Time = (8+20) miles / (46/60)Hours = 28*60 / 46 = 36 Miles per hour
Answer: option A
Answer: (A) 36
Question: P and Q invested in a shop. The profits were divided in the ratio of 2 : 3 respectively. If P invested Rs. 40,000, the amount invested by Q is:
(A) 35000
(B) 40000
(C) 50000
(D) 60000
(E) None
Rationale: Suppose Q invested Rs. y. Then, 40000/y = 2/3 or y = [40000 x 3 / 2] = 60000.
Answer D
Answer: (D) 60000
Question: Each of the following equations E has at least one solution EXCEPT
(A) E=–2^n = (–2)^-n
(B) E=2^-n = (–2)^n
(C) 2^n = (–2)^-n
(D) (–2)^n = –2^n
(E) (–2)^-n = –2^-n
Rationale: While it is possible to reason out which of these choices must not work, we may not have time or the confidence to do so. However, this problem has variable in its answer choice, and relatively simple math. Therefore, an easy alternative is picking numbers.
Since we're dealing with exponents, we want to keep things as easy as possible. Hence, we'll start with the easiest exponent possible: n = 1. A, B, and C are not solved (x^-n = 1/(x^n), so we're comparing integers to fractions), but choices D and E both end up valid, eliminating them from contention.
In the process of doing this, however, we've uncovered a major clue to our next step: A, B, and C, all compared integers to fractions, and the only integer equal to it's reciprocal is 1, which is equal to 1/1. This, in turn, tells us the we need to pick n = 0. Remember, for all non-zero x, x^0 = 1.
If we plug n = 0 into choices B and C, we end up with 1 = 1 both times. Choice A, however, results in the false 1 = -1. Thus, we conclude that the first choice has no valid solutions, and is therefore the correct answer.
Answer: (A) E=–2^n = (–2)^-n
Question: If 10 farmers can reap a field in 8 days, then 8 farmers will reap the same field in :
(A) 5 days
(B) 10 days
(C) 4 days
(D) 20 days
(E) None of these
Rationale: Explanation :
8 : 10 :: 8 : x
or 8x = 10 * 8
or x = 10.
Required number of days 10.
Answer : B
Answer: (B) 10 days
Question: In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 58 liters and they are all empty, how much money total will it cost to fuel all cars?
(A) 320.40$
(B) 383.40$
(C) 420.40$
(D) 450.40$
(E) 473.40$
Rationale: Total Cost = ( 1.75*12 ) + ( 0.65 * 12 * 58 ) = 473.40
Hence answer will be (E)
Answer: (E) 473.40$
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 100 resolutions.
(A) 140 m
(B) 141 m
(C) 142 m
(D) 143 m
(E) 144 m
Rationale: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 100 resolutions.
= 100 * 2 * 22/7 * 22.4
= 14100 cm
= 141 m
Answer: B
Answer: (B) 141 m
Question: If the square root of 5625 is 75, then
√5625 + √56.25 + √0.5625 is equal to
(A) 82.25
(B) 80.25
(C) 79.25
(D) 83.25
(E) 84.25
Rationale: √5625 = 75; √56.25 = 7.5; √. 5625 = .75
-- > 75+7.5+0.75 = 83.25
Answer is D.
Answer: (D) 83.25
Question: A boy was asked to find the value of 3/8 of a sum of money. Instead of multiplying The sum by
3/8 he divided it by 3/8 and then his answer exceeded by Rs. 55. Find the Correct be x.
(A) Rs.8
(B) Rs.3
(C) Rs.5
(D) Rs.7
(E) Rs.9
Rationale: Let amount be x
8/3* - 3/8 * = 55
-- > 64x – 9x/24 = 55 -- > 55x/24 = 55
-- > x = 24*55/55 = 24
: . 3/8 of x = 3/8 * 24 = Rs.9
Answer is E.
Answer: (E) Rs.9
Question: A grocer has a sale of Rs. 5266, Rs. 5768, Rs. 5922, Rs. 5678 and Rs. 6029 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 5600?
(A) 4637
(B) 4737
(C) 4937
(D) 5937
(E) 5978
Rationale: Total sale for 5 months = Rs. (5266 + 5768 + 5922 + 5678 + 6029) = Rs. 28663.
Required sale = Rs. [ (5600 x 6) - 28663 ]
= Rs. (33600 - 28663)
= Rs. 4937.
ANSWER:C
Answer: (C) 4937
Question: The ratio between the length and the breadth of a rectangular park is 3:2. If a man cycling along theoundary of the park at the speed of 12km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
(A) 145010 m
(B) 146400 m
(C) 153600 m
(D) 164500 m
(E) 167550 m
Rationale: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.
60
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 x 320) m2 = 153600 m
C
Answer: (C) 153600 m
Question: A dog travelled for 2 hours. He covered the first half of the distance at 10 kmph and remaining half of the distance at 5 kmph. Find the distance travelled by the dog?
(A) 20 km
(B) 16 km
(C) 6 km
(D) 3 km
(E) 61 km
Rationale: Let the distance travelled be x km.
Total time = (x/2)/10 + (x/2)/5 = 2 => x/20 + x/10
= 2 => (1x + 2x)/20 = 2 => x
= 20 km
Answer: A
Answer: (A) 20 km
Question: What will be the fraction of 50%
(A) 1/4
(B) 1/5
(C) 1/10
(D) 1/8
(E) None of above
Rationale: Explanation:
It will 50*1/100 = 1/2
Answer: Option E
Answer: (E) None of above
Question: How many words can be formed by using all letters of the word ‘CAT’ ?
(A) 4
(B) 6
(C) 8
(D) 10
(E) 12
Rationale: The word contains 3 different letters.
The number of permutations is 3! = 6
The answer is B.
Answer: (B) 6
Question: Two trains each 120m in length each, are running on two parallel lines in opposite directions. If one goes at the speed of 85km/h while the other travels at 65km/h. how long will it take for them to pass each other completely.
(A) 11.07 sec
(B) 10.07 sec
(C) 13.07 sec
(D) 12.07 sec
(E) 14.07 sec
Rationale: Explanation:
D = 120 m +120 m = 240 m
RS = 85 + 65 = 150 * 5/18 = 417/10
T = 420 * 10/417 = 10.07 sec
Answer: Option B
Answer: (B) 10.07 sec
Question: A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?
(A) 17 years
(B) 62 years
(C) 12 years
(D) 16 years
(E) 52 years
Rationale: 100 ---- 200 ---- 4
400 ---- 4
800 ---- 4
------
12 years
Answer: C
Answer: (C) 12 years
Question: Vijay lent out an amount Rs. 10000 into two parts, one at 8% p.a. and the remaining at 10% p.a. both on simple interest. At the end of the year he received Rs. 890 as total interest. What was the amount he lent out at 8% pa.a?
(A) 5507
(B) 5500
(C) 5508
(D) 5502
(E) 5501
Rationale: Let the amount lent out at 8% p.a. be Rs. A
=> (A * 8)/100 + [(10000 - A) * 10]/100 = 890
=> A = Rs. 5500.
Answer: B
Answer: (B) 5500
Question: 3 machines a,b,c can be used to produce a product. Machine a will take 60 hours to produce a million units. Machine b is twice as fast as machine a. Machine c takes the same amount of time as machine a and b taken together. How much time will be required to produce a million units if all the three machines are used simultaneously?
(A) 12 hours
(B) 10 hours
(C) 8 hours
(D) 9 hours
(E) None of these
Rationale: 1 hour capacity of
Machine a =1/60 million
Machine b =2*(1/60)=1/30 million
Machine c =(1/60)+(1/30)=1/20 million
So in 1 hour Machines a,b & c will produce (1/60)+(1/30)+(1/20)=1/10 million
Time taken to produce 1 million units=1/(1/10)=10 hours
ANSWER:B
Answer: (B) 10 hours
Question: Five persons are to be selected from a group of 7 males and 6 females to form party so that at least 3 male members are there on the committee. What are the possible number of ways to form the party ?
(A) 756
(B) 765
(C) 785
(D) 789
(E) None
Rationale: From a group of 7 men and 6 women, five persons are to be selected with at least 3 men. So we can have (5 men) or (4 men and 1 woman) or (3 men and 2 woman) (7C5)+(7C4 * 6C1)+(7C3** 6C2)=[21+35*6+35*15]=756
Answer A
Answer: (A) 756
Question: If 0.75 : x :: 10 : 8, then x is equal to:
(A) A)0.6
(B) B)0.8
(C) C)0.85
(D) D)0.5
(E) E)none
Rationale: (x * 10) = (0.75 * 8)
x = 6/10
x = 0.6
Answer = A
Answer: (A) A)0.6
Question: In country Z, 18% of the people do not have a university diploma but have the job of their choice, and 25% of the people who do not have the job of their choice have a university diploma. If 40% of the people have the job of their choice, what percent of the people have a university diploma?
(A) 37%
(B) 45%
(C) 55%
(D) 65%
(E) 75%
Rationale: Setting up a matrix is how I solve this one.
Diploma No Diploma Totals
Job of Choice w/Diploma
Job of Choice w/o Diploma = 18%
Job of Choice Total = 40%
Not Job of Choice with Diploma =.25X
Not Job of Choice w/o Diploma= .75X
Total Not Job of Choice = X
Total with Diploma
Total without Diploma
Total citizen = 100
If 40% of people have their job of choice, then 60% of people do NOT have their job of choice. 25% of 60% = 15%. We can also see that 30% of the people have their job of choice and a diploma (40%-18%=22%). 22% + 15% =37%. Therefore 37% of the people in Country Z have a diploma.
Ans A
Answer: (A) 37%
Question: On a certain day, Tim invested $1,000 at 10 percent annual interest, compounded annually, and Lana invested 2,000 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investment in the first 2 years?
(A) $5
(B) $15
(C) $50
(D) $100
(E) $105
Rationale: Compounded annually means that the interest is applied once per year. One can have 10% annual interest compounded monthly - in this case 10%/12 would be applied each month, or 10% annual interest compounded daily etc.
With respect to the problem at hand, at the end of two years, Tim would have
1,000(1.10)^2 = 1,000(1.21) = 1,210
and Lana would have
2,000(1.05)^2 = 2,000(1.1025) = 2,205
Thus, Tim earned 210 dollars, while Lana earned 205 dollars
The difference is $5 and the answer is A.
Answer: (A) $5
Question: Peter invests $100,000 in an account that pays 12% annual interest: the interest is paid once, at the end of the year. Martha invests $100,000 in an account that pays 12% annual interest, compounding monthly at the end of each month. At the end of one full year, compared to Peter's account, approximately how much more does Martha’s account have?
(A) Zero
(B) $68.25
(C) $682.50
(D) $6825.00
(E) $68250.00
Rationale: At the end of 1 year Peter gets an interest of - Rs 12000
At the end of 1 year Martha gets an interest of = 100000(1+0.12/12)^12=100000(1.01^12)= 112682.50 -100000 = 12682.50 $
Therefore Martha has 12682.50-12000 = 682.50 $ more than Peter at the end of 1 year.
Option (C)
Answer: (C) $682.50
Question: A crow leaves its nest, and flies back and forth from its nest to a nearby ditch to gather worms. The distance between the nest and the ditch is 300 meters. In one and a half hours, the crow manages to bring worms to its nest 15 times. What is the speed of the crow in kilometers per hour?
(A) 1
(B) 2
(C) 4
(D) 6
(E) 8
Rationale: The distance between the nest and the ditch is 300 meters.
15 times mean = A crow leaves its nest, and flies back ( going and coming back) i.e. 2 times we get total 30 rounds.
So the distance is 30 * 300 = 9000.
D = ST
9000/1.5 = T , I think we can take 9000 meters as 9 km, then only we get T = 6.( 1000 meters = 1 km)
D)
Answer: (D) 6
Question: How many pieces of 75 cm can be cut from a rope 60 meters long?
(A) 80
(B) 40
(C) 60
(D) None
(E) Cannot be determined
Rationale: Explanation :
Total pieces of 75 cm that can be cut from a rope of 60 meters long is
= (60 meters)/(75 cm)
= (60 meters)/(0.75 meters)
= 80
Answer : A
Answer: (A) 80
Question: How many cubes of edge 2 dm can be cut out of a meter cube?
(A) 296
(B) 289
(C) 270
(D) 125
(E) 278
Rationale: 1 * 1* 1 = 2/10 * 2/10 * 2/10 * x
x = 125
Answer:D
Answer: (D) 125
Question: Father is aged three times more than his son Sunil. After 8 years, he would be two and a half times of Sunil's age. After further 8 years, how many times would he be of Sunil's age?
(A) 4 times
(B) 2 times
(C) 3 times
(D) 5 times
(E) 1 times
Rationale: Assume that Sunil's present age =x.
Then, father's present age =3x+x=4x
After 8 years, father's age =212 times of Sunils' age
⇒(4x+8)=212(x+8)⇒4x+8=52(x+8)⇒8x+16=5x+40⇒3x=40−16=24⇒x=243=8
After further 8 years,
Sunil's age =x+8+8=8+8+8=24
Father's age =4x+8+8=4×8+8+8=48
Father's age/Sunil's age =4824=2.
Answer is B.
Answer: (B) 2 times
Question: The C.P of 15 pens is equal to the S.P of 18 pens. Find his gain% or loss%?
(A) 12 2/4%
(B) 17 2/6%
(C) 16 2/3%
(D) 16 2/7%
(E) 34 2/5%
Rationale: C
15 CP = 18 SP
18 --- 3 CP loss
100 --- ? => 16 2/3% loss
Answer: (C) 16 2/3%
Question: If a quarter kg of onions costs 90 paise, how many paise will 100 gm cost?
(A) 36 paise
(B) 65 paise
(C) 56 paise
(D) 87 paise
(E) 15 paise
Rationale: Explanation:
Let the required cost be x paise.
Less weight, Less cost (Direct proportion)
250 : 100 : : 90 : x
250 * x = (100 * 90)
x = (100 * 90) / 250
x = 36
ANSWER: A
Answer: (A) 36 paise
Question: In what time will a train 100 meters long cross an electric pole, if its speed is 36 km/hr
(A) 8.5 seconds
(B) 10 seconds
(C) 3.5 seconds
(D) 2.5 seconds
(E) 2.6 seconds
Rationale: First convert speed into m/sec
Speed = 36*(5/18) = 10 m/sec
Time = Distance/speed
= 100/10 = 10 seconds
Answer: B
Answer: (B) 10 seconds
Question: Which of the following is the lowest positive integer that is divisible by the first 8 positive integer multiples of 5?
(A) 2100
(B) 4200
(C) 6300
(D) 8400
(E) 10,500
Rationale: The number must be divisible by 5, 2*5, 3*5, 2^2*5, 5^2, 2*3*5, 7*5, and 2^3*5.
The lowest such number is 2^3*3*5^2*7 = 4200.
The answer is B.
Answer: (B) 4200
Question: All the stocks on the over-the-counter market are designated by either a 7 letter or 6 letter codes that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
(A) 2(26^5)
(B) 26(26^4)
(C) 27(26^6)
(D) 26(26^5)
(E) 27(26^5)
Rationale: with 7 letters: 26^7
with 6 letters: 26^6
26^7 + 26^6 = 27*(26^6)
C
Answer: (C) 27(26^6)
Question: A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
(A) 22 hours
(B) 28 hours
(C) 77 hours
(D) 75 hours
(E) 66 hours
Rationale: 1/A + 1/B + 1/C = 1/8 (Given)
Also given that A = 2B and B = 2C
=> 1/2B + 1/B + 2/B = 1/8
=> (1 + 2 + 4)/2B = 1/8
=> 2B/7 = 8
=> B = 28 hours.
Answer:B
Answer: (B) 28 hours