divelab/Sys2Bench huggingface dataset:
Question: If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 372, C will receive
Options:
A)60
B)51
C)900
D)72
E)271
Rationale: Explanation:
Let 4A = 6B = 1OC = k. Then, A = k/4, B = k/6, and C =k/10 .
A : B :C = k/4 : k/6 : k/10 = 15 : 10 : 6.
Hence, C's share (372 * 6/31) = Rs, 72.
Answer: D) Rs.72
Answer: D
Question: If y exceeds x by 25%, then x is less than y by?
Options:
A)22%
B)67%
C)20%
D)16%
E)11%
Rationale: X=100	y=125
125--------25
100--------? => 20%
Answer: C
Answer: C
Question: In a 500 member association consisting of men and women, exactly 20% of men and exactly 50 % women are homeowners. What is the least number of members who are homeowners?
Options:
A)149
B)147
C)101
D)143
E)141
Rationale: Solution simple
Out of 500 20% are male i.e 100 and 50% are female i.e 250 , so total homeowner is 350.
Now min number homeowner is 100 and max is 250 so question ask us to find least and 101 has least value among all option.
So ans is 101.
Ans: C
Answer: C
Question: 7/9 of 3/5 of a number is greater than 2/9 of 5/6 of the same number by 152. What is half of that number?
Options:
A)165
B)195
C)240
D)270
E)315
Rationale: Let no. be x
7/9*3/5*x - 2/9*5/6*x =152
by further solving
21x/45- 10x/54=152
114x/405=152
x=540
we have to find x/2
=540/2=270
ANSWER:D
Answer: D
Question: In a class of 120 students, 25 did not opt for math. 10 did not opt for science and 2 did not opt for either. How many students of the class opted for both math and science?
Options:
A)63
B)95
C)77
D)87
E)48
Rationale: 120 students total
25 did not opt for math
10 did not opt for science
2 did not opt for either
Total of 95 students in math and 8 did not opt for sci but did for math
95-8=87
87 students of the class opted for both math and science
Answer:
D. 87
Answer: D
Question: The number N is 6,2X4, where X represents the ten's digit. If N is divisible by 9, what is the value of X?
Options:
A)1
B)3
C)5
D)7
E)6
Rationale: Integer is divisible by 9 - Sum of digits is divisible by 9
Answer: E
Answer: E
Question: A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:
Options:
A)8%
B)6%
C)9%
D)10%
E)11%
Rationale: Rs 1552 income = Rs 128
By investing Rs 97 income = 128/1552*97 = Rs 8
Divdend = 8%
ANSWER A
Answer: A
Question: A Scooter is sold for Rs. 65000, a shop keeper gains 25%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
Options:
A)25%
B)12.5%
C)22.5%
D)15%
E)36%
Rationale: Explanation:
Marked price = Rs. 65000
C.P. = 100/125 * 65000 = Rs. 52000
Sale price = 90% of Rs. 65000 = Rs. 58500
Required gain % = 650/52000 * 100 = 12.5%.
Answer: B
Answer: B
Question: How many 6 digit number can be formed from the digits 1, 2, 3, 4, 5, 6 which are divisible by 4 and digits are not repeated?
Options:
A)192
B)122
C)140
D)242
E)None
Rationale: Solution
For the number to be divisible by 4, the last two digits must be any of 12, 24, 16, 64, 32, 36, 56 and 52. The last two digit places can be filled in 8 ways. Remaining 3 places in 4P3 ways.
Hence no. of 5 digit nos. which are divisible by 4 are 24 × 8 = 192
Answer A
Answer: A
Question: The current birth rate per thousand is 50, where as corresponding death rate is 10 per thousand. The net growth rate in terms of population increase in percent is given by?
Options:
A)2%
B)3%
C)4%
D)6%
E)8%
Rationale: Net growth on 1000 = 50-10 = 40
Net growth on 100 = 40*100/1000 = 4%
Answer is C
Answer: C
Question: A machine puts c caps on bottles in m hours. How many hours will it take to put caps on b bottles?
Options:
A)60bm/c
B)bm/60c
C)bc/60m
D)bm/c
E)b/60cm
Rationale: A machine puts c caps on bottles in m minutes.
So, the machine puts 1 cap in m/c minutes
To put caps on b bottles, the machine will take bm/c hours
Answer : D
Answer: D
Question: If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 320, the cost of the article is
Options:
A)289
B)231
C)200
D)288
E)600
Rationale: Explanation:
Let C.P. be Rs. x.
Then, 5% of x = 350 - 320 = 30
x/20 = 30 => x = 600
Answer: E
Answer: E
Question: How many of the positive factors of 24 are not factors of 26
Options:
A)2
B)3
C)4
D)1
E)6
Rationale: factors of 24 - 1, 2, 3, 4, 6, 8, 12,24
factors of 26 -1, 2, 13, 26
Comparing both, we have 6 factors of 24 which are not factors of 26- 3, 4, 6, 8, 12,24
Answer: E
Answer: E
Question: Calculate the HCF of 64, 318, 250
Options:
A)6
B)5
C)4
D)3
E)2
Rationale: Explanation:
Lets solve this question by factorization method.
64=2 x 2 x 2 x 2 x 2 x 2,
318=2 × 3 × 53,
250=2 × 5 × 5 × 5
So HCF will be minimum term present in all three, i.e.
2×32=18
Answer: Option E
Answer: E
Question: A certain cube floating in a bucket of water has between 80 and 90 percent of its volume below the surface of the water. If between 6 and 13 cubic centimeters of the cube's volume is above the surface of the water, then the length of a side of the cube is approximately
Options:
A)4
B)5
C)7
D)8
E)9
Rationale: If sides are 7, vol=7^3=343
80%= 274.4, 90%=308.7
so vol above water, between 68.6 and 34.3 -->too big
If side are 4, vol = 64
80%=51.2, 90%=57.6
vol above water between 12.8 and 6.4
So 4 should be the answer.
Check option C,
If sides are 5, vol = 125
80%= 100, .90%=112.5
vol above water between 12.5-25
(Sides are 4 cubic centimeters)
A
Answer: A
Question: the radius of the circle is reduced from 5cm to 4cm then the % change of area .
Options:
A)36%
B)37%
C)35%
D)38%
E)39%
Rationale: for 5cm -> pi*r^2 --> 3.14 * 5 ^ 2 -> 78.539
for 4cm -> pi*r^2 --> 3.14 * 4 ^ 2 -> 50.265
%change -> (1- 50.265/78.539)*100= 36
ie 36%
ANSWER:A
Answer: A
Question: Sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Find the sum?
Options:
A)20
B)22
C)25
D)27
E)29
Rationale: (a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 138 + 2* 131
a + b + c = √400 = 20
A
Answer: A
Question: Balls of equal size are arranged in rows to form an equilateral triangle. the top most row consists of one ball, the 2nd row of two balls and so on. If 1104 balls are added, then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did. How many balls made up the triangle?
Options:
A)2145
B)2209
C)2878
D)1210
E)1560
Rationale: As expected, this question boils down to 2 equation,
Consider total number of Balls in Triangle = T and number of balls in last row = x.
1+2+3+...+x = T
x(x+1)/2 = T ----(a)
As mentioned in the question, side of a square will be (x-8) and total number of Balls in square will be (T+1104)
(x-8)^2 = T+1104 -----(b)
Now the hardest part of the question will be to solve these 2 equations and this looks like time consuming BUT the easy way will be plug and play. Also, we've to find a value of T (from 5 optiosn given below) which can make a square of a a number. One we know this, it will be a cake walk.
We can see that option A fits this criteria in eq (b). Add - 2145+1104 = 3249 = 57^2 = (x-8)^2 Hence, x = 65.
Cross check by putting in eq (a) = x(x+1)/2 = T = > 65*66/2=2145
Hence, answer is A.
Answer: A
Question: Find the probability that a number selected from numbers 1, 2, 3,..., 30 is a prime number, when each of the given numbers is equally likely to be selected?
Options:
A)10/30
B)1/30
C)8/30
D)3/30
E)7/30
Rationale: Let X be the event of selecting a prime number.
X = {2, 3, 5, 7, 11, 13, 17, 19, 23,29}
n(X) = 10,
n(S) = 30
Hence, the required probability is 10/30.
ANSWER:C
Answer: C
Question: The price of a car is marked at $10,000. If the car has successive discounts of 25%, 20% and 10%, then at what price does a customer buy the car?
Options:
A)$4600
B)$4800
C)$5000
D)$5200
E)$5400
Rationale: 0.9*0.8*0.75*10000 = $5400
The answer is E.
Answer: E
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?
Options:
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
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?
Options:
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
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?
Options:
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
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?
Options:
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
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?
Options:
A)19
B)25
C)77
D)88
E)11
Rationale: 840 --- 160
100 --- ? => 19%
Answer:A
Answer: A
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?
Options:
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
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
Options:
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
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?
Options:
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
Question: If a: b :: 3 : 7, then what is (5a+6b): (a-2b)?
Options:
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
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.
Options:
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
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 ?
Options:
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
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.
Options:
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
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?
Options:
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
Question: A fruit seller had some oranges. He sells 30% oranges and still has 420 oranges. How many oranges he had originally?
Options:
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
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
Options:
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
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?
Options:
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
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 ?
Options:
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
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?
Options:
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
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
Options:
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
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?
Options:
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
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:
Options:
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
Question: Each of the following equations E has at least one solution EXCEPT
Options:
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
Question: If 10 farmers can reap a field in 8 days, then 8 farmers will reap the same field in :
Options:
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
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?
Options:
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
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 100 resolutions.
Options:
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
Question: If the square root of 5625 is 75, then
√5625 + √56.25 + √0.5625 is equal to
Options:
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
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.
Options:
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
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?
Options:
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
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?
Options:
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
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?
Options:
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
Question: What will be the fraction of 50%
Options:
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
Question: How many words can be formed by using all letters of the word ‘CAT’ ?
Options:
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
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.
Options:
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
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?
Options:
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
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?
Options:
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