divelab/Sys2Bench huggingface dataset:
Question: Two trains of equal length, running with the speeds of 60 and 90 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Options:
A)3.2
B)2.6
C)6.6
D)32.2
E)42.2
Rationale: RS = 60 -40 = 20 * 5/18 = 100/18
T = 50
D = 50 * 100/18 = 2500/9
RS = 60 + 90 = 150 * 5/18
T = 2500/9 * 18/750 = 6.6 sec.Answer: C
Answer: C
Question: If a^2x = b^y, then
Options:
A)log a/b= x/y
B)log a/ log b = x/y
C)log a/ log b = y/2x
D)log b/a = x/y
E)log b/a = y/x
Rationale: a^2x = b^y => log a^2x = log b^y => 2x log a = y log b
=> log a/ log b = y/2x
ANSWER:C
Answer: C
Question: A can complete the job in 4 hours and B can complete the same job in 3 hours. A works for 1 hour and then B joins and both complete the job. What fraction of the job did B complete
Options:
A)1/7
B)3/10
C)1/2
D)5/6
E)8/9
Rationale: A=1/7
Answer: A
Question: A , B , and C started a partnership business by investing $45,000 , $63,000 , and $72,000 respectively. At the end of the year, the profit was distributed among them. If C's share of profit is $20,000, what is the total profit?
Options:
A)$38,000
B)$42,000
C)$46,000
D)$50,000
E)$54,000
Rationale: A:B:C = 45000:63000:72000 which is a ratio of 5:7:8.
Let the total profit be x.
x * 8/20 = 20000
x = 20000*20/8 = 50,000.
The answer is D.
Answer: D
Question: the sum of 2nd and 19th term of A.P. is equal to the sum of 8th , 15th and 12 th term . find the term which is 0
Options:
A)12
B)13
C)14
D)15
E)16
Rationale: t2 + t19 = t8 + t15 + t12
=> a+d + a+18d = a+7d + a+14d + a+11d
=> a + 13d = 0
=> t14 = 0 i.e. 14th term is zero.
ANSWER:C
Answer: C
Question: A retailer buys 40 pens at the market price of 36 pens from a wholesaler ,if he sells these pens giving a discount of 1% ,what is the profit % ?
Options:
A)15%
B)5%
C)10%
D)25%
E)19%
Rationale: let the market price of each pen be Rs 1
then,C.P of 40 pens = Rs 36
S.P of 40 pens =99% of Rs 40=Rs 39.60
profit %=((3.60*100)/36) %=10%
Answer is C.
Answer: C
Question: In an examination 80% failed in Math and 20% failed in French. If 24% failed in both. What % of students passed in both.
Options:
A)25%
B)24%
C)20%
D)30%
E)10%
Rationale: Passed in Math = 100 - 80 = 20%
Passed in French = 100 - 20 = 80%
Students who passed Math or French = 100 -24 = 76%
Students passed in Math and French = (Passed in Math) + (Passed in French) - (Students who passed Math or French) = 20+80-76 =24%
ANSWER:B
Answer: B
Question: The grade point average of the entire class is 80. If the average of one fourth of the class is 92, what is the average of the rest of the class?
Options:
A)73
B)74
C)75
D)76
E)77
Rationale: Let x be the number of students in the class.
Let P be the average of the rest of the class.
80x = (1/4)92x + (3/4)(P)x
320 = 92 + 3P
3P = 228
P = 76.
The answer is D.
Answer: D
Question: Of the three numbers, the first is twice as second and three times the third. The average of the three numbers is 66, and the three numbers in order are?
Options:
A)116,58,36
B)98,49,33
C)126,63,36
D)108,54,36
E)None of these
Rationale: Explanation :
Solution: Let A =x,
B =x/2, C = x/3.
=x + x/2 + x/3 / 3 = 66
By solving we will get x = 108.
Hence A= 108
B= 108/2= 54
C= 108/3 = 36
Answer : D
Answer: D
Question: A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag?
Options:
A)⁹C₂
B)³C₂
C)¹⁶C₂
D)¹²C₂
E)¹⁴C₂
Rationale: Explanation:
Total number of balls = 9 + 3 + 4
Two balls can be drawn from 16 balls in ¹⁶C₂ ways.
ANSWER IS C
Answer: C
Question: Given a unit square, two points are chosen uniformly at random within the square. Compute
the probability that the line segment connecting those two points touches both diagonals of the
square.
Options:
A)1/4
B)2/4
C)3/4
D)4/4
E)5/4
Rationale: If we draw both diagonals, then the desired event happens if and only if the two
points appear in dierent triangles that do not share an edge. Given the triangle where one
point lands, the other point has probability
1/4
of landing in the other triangle.
correct answer A
Answer: A
Question: Set X consists of 5 integers and has median of 20 and a range of 20. What is the value of the greatest possible integer that can be present in the set?
Options:
A)20
B)37
C)C.40
D)43
E)50
Rationale: Note that both median and range do not restrict too many numbers in the set. Range is only concerned with the smallest and greatest. Median only cares about the middle.
Quick check of each option starting from the largest:
(E) 50
Range of 20 means the smallest integer will be 30. So 20 cannot lie in between and hence cannot be the median.
(D) 43
Range of 20 means the smallest integer will be 23. So 20 cannot lie in between and hence cannot be the median.
(C) 40
Range of 20 means the smallest integer will be 20. 20 can lie in between such as:
20, 20, 20, 20, 20
This is possible. Hence it is the greatest such number.
Answer (A)
Answer: A
Question: A train is running at a speed of 40 km/hr and it crosses a post in 25.2 seconds. What is the length of the train?
Options:
A)190 metres
B)160 metres
C)280 metres
D)120 metres
E)250 metres
Rationale: Speed of the train, v = 40 km/hr = 40000/3600 m/s = 400/36 m/s
Time taken to cross, t = 25.2 s
Distance Covered, d = vt = (400/36)Ã— 25.2 = 280 m
Distance covered is equal to the length of the train = 280 m
Correct answer is 280 metres
C
Answer: C
Question: A circular path of 19 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Options:
A)rs.49.25
B)rs.40.50
C)rs.44.20
D)rs.62.85
E)rs.43.10
Rationale: Explanation:
π (21^2 - 19^2) = 22/7 * (441-361) = 251.43
251.43 * 1/4 = Rs.62.85
Answer: Option D
Answer: D
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 4 as quotient and the 15 as remainder
Options:
A)1235
B)1346
C)1378
D)1635
E)1815
Rationale: Let the smaller number be x. Then larger number = (x + 1365).
x + 1365 = 4x + 15
3x = 1350
x = 450
Large number = 450+1365 = 1815
E
Answer: E
Question: Rahul went to a shop and bought things worth Rs. 26, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Options:
A)19.7
B)20.7
C)22
D)21.4
E)21.5
Rationale: Total cost of the items he purchased = Rs.26
Given that out of this Rs.26, 30 Paise is given as tax
=> Total tax incurred = 30 Paise = Rs.30/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (26−30/100−x)6/100 = 30/100
⇒ 6(26 −0.3 −x) = 30
⇒ (26 − 0.3 − x) = 5
⇒ x = 26 − 0.3 − 5 = 20.7
B
Answer: B
Question: The average weight of a group of boys is 30 kg. After a boy of weight 38 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Options:
A)4
B)8
C)5
D)2
E)7
Rationale: Let the number off boys in the group originally be x.
Total weight of the boys = 30x
After the boy weighing 38 kg joins the group, total weight of boys = 30x + 38
So 30x + 38 + 31(x + 1) = > x = 7.
Answer: E
Answer: E
Question: How many of the positive divisors of 480 are also multiples of 4 not including 480?
Options:
A)15
B)16
C)19
D)20
E)24
Rationale: 480 = 2^6 * 3 * 5 = (4) * 2^3 * 3 * 5
Besides (4), the exponents of 2, 3, and 5 are 3, 1, and 1.
There are (3+1)(1+1)(1+1) = 16 ways to make multiples of 4.
We must subtract 1 because one of these multiples is 480.
The answer is A.
Answer: A
Question: .
On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder ?
Options:
A)0
B)3
C)5
D)8
E)11
Rationale: Let x be the number and y be the quotient. Then,
x = 357 x y + 39
= (17 x 21 x y) + (17 x 2) + 5
= 17 x (21y + 2) + 5)
Required remainder = 5.
Answer: Option C
Answer: C
Question: x percent of y percent of z is decreased by y percent. find the result?
Options:
A)(xz - y) / 100
B)(100xyz - xy^2z) /1,000,000
C)(xz - y) / 10,000
D)(xyz - 2y) / 100
E)(xyz - 2y) / 10,000
Rationale: We're told that X percent of Y percent of Z is DECREASED by Y percent. We're asked for the result of all of this math.
IF....
X = 10
Y = 50
Z = 100
First, 50% of 100 = 50
Next, 10% of 50 = 5
Finally, 5 decreased by 50% of itself is 2.5
So we're looking for an answer that equals 2.5 when X=10, Y=50 and Z=100.
Answer A. (100xyz - xy^2z) / 1,000,000 = (5,000,000 - 2,500,000)/1,000,000 = 2,500,000/1,000,000 = 2.5
Anwer is B
Answer: B
Question: There are 7 boxes numbered from 1 to 7. Either a red ball or a green ball will be placed in each box in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. How many different ways can this be done?
Options:
A)26
B)28
C)30
D)32
E)34
Rationale: 1 green ball: 7 ways
2 green balls: 6 ways
3 green balls: 5 ways
4 green balls: 4 ways
5 green balls: 3 ways
6 green balls: 2 ways
7 green balls: 1 way
The total number of ways is 7*8/2=28
The answer is B.
Answer: B
Question: Three numbers are randomly selected, with replacement, from the set of integers {0, 1, 2, 3, 4, 5, 6, 7, 8}. If the first number selected is w, the second number selected is x, and the third number is y, what is the probability that w < x < y ?
Options:
A)28/243
B)31/243
C)35/729
D)83/729
E)101/729
Rationale: The number of ways to select w, x, and y is: 9*9*9=729
The number of ways to choose three different numbers from the set is 9C3=84.
There are six permutations for each group of three different numbers, but only one permutation satisfies w < x < y.
The probability that w < x < y is 84/729 = 28/243
The answer is A.
Answer: A
Question: A boat moves down stream at the rate of 1 km in 6 minutes and
upstream at the rate of 1 km in 10 minutes. The speed of current is
Options:
A)2 kmph
B)3 kmph
C)4 kmph
D)5 kmph
E)6 kmph
Rationale: If speed(in kmph) of the boat=b and current=c, then
In downstream time taken(in hrs.)=1/(b+c)=6/60=1/10 or b+c=10 ---(i) &
In upstream time taken(in hrs.)=1/(b-c)=10/60=1/6 or b-c=6 ---(ii)
From (i) & (ii), b=8, c=2
ANSWER:A
Answer: A
Question: If a, b, w are integers, 33 = abw, and a < b < w, what is the smallest possible value of a?
Options:
A)-33
B)-3
C)1
D)3
E)11
Rationale: Given : a * b * w = 33.
33 is a Positive Odd number.Side Note:Thus, all 3 numbers will be odd.
Prime factorization will also give you numbers. 1, 3, 11. The 3 numbers will be combination of these 3 numbers with possible variation in sign(+/-).
We could have any 2 digits as negative. --> negative * negative * positive. We have negative values in answer option, so eliminate C, D and E from answer choices.
-33 * -1 * 1 = 33.
Correct answer is A
Answer: A
Question: If you multiply two integers together and
then add 4, the result is 40. Which of the
following could NOT be the sum of the
two numbers?
Options:
A)12
B)13
C)15
D)18
E)20
Rationale: Let the two integers equal x and y, and then create the following equation and simplify:
xy + 4 = 40
xy = 36
So x and y are a pair of integers that equal 36. Try adding all possible combinations of two
integers that multiply out to 36:
1 × 36 = 36 1 + 36 = 37
2 × 18 = 36 2 + 18 = 20
3 × 12 = 36 3 + 12 = 15
4 × 9 = 36 4 + 9 = 13
6 × 6 = 36 6 + 6 = 12
This list of sums includes 12, 13, 15, and 20, but not 18. Thus, no pair of integers both
satisfies the original equation and adds up to 18
correct answer D)18
Answer: D
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 A of men to women?
Options:
A) 5:2
B) 5:1
C) 4:3
D) 4:1
E) 3:1
Rationale: (A) A=184 x 5 + 170 x 2 = 1260.A
Answer: A
Question: Find the arithmetic mean P of all roots of the following equation- see an attachment.
Options:
A)2
B)1
C)0.5
D)-1/3
E)0.3
Rationale: arithmetic mean P your answer C and E are same, can you correct one of them please. thanks.C
Answer: C
Question: The product of two numbers is 336 and the sum of their squares is 289. The sum of the number is?
Options:
A)A)23
B)B)25
C)C)27
D)D)31
E)E)35
Rationale: Let the numbers be x and y.
Then, xy = 336 and x2 + y2 = 289.
(x + y)2 = x2 + y2 + 2xy = 289 + (2 x 336) = 961
x + y =31.
Option D
Answer: D
Question: Jamshid can paint a fence in 50 percent less time than Taimour can when each works alone. When they work together, they can paint the fence in 5 hours. How long would it take Taimour to paint the fence alone?
Options:
A)6 hours
B)8 hours
C)15 hours
D)24 hours
E)32 hours
Rationale: I believe the answer is C. Please see below for explanation.
if Jamshid can paint a dence in 50 percent less time then Taimour we can infer the following rate J = 2T
if working together they can do the job in 8 hours we can infer 1 = 2T+T * 5 => 1/15
Working alone Taimour can do the job in 1 = 1/15* hours => 15
Answer C
Answer: C
Question: Crazy Eddie has a key chain factory. Eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 35% of the selling price to 50% of the selling price. If the manufacturing cost is now $50, what was it before the decrease?
Options:
A)$20
B)$65
C)$50
D)$80
E)$100
Rationale: Deargoodyear2013,
I'm happy to help.This is a relatively straightforward problem, not very challenging. BTW,Crazy Eddiewas the actually name of an electronics chain on the East Coast of the USA back in the 1970s.
Manufacturing now is $50. They now are making a 50% profit, so the selling price must be $100.
They had this same selling price, $100, before they made the change, and had a profit of 35%, so the manufacturing must have been $65. Answer = (B).
Answer: B
Question: There are 2 sections A and B in a class, consisting of 50 and 70 students respectively. If the average weight of section A is 50kg and that of section B is 70kg, Find the average of the whole class?
Options:
A)50.78kg
B)49.32kg
C)61.67kg
D)69.15kg
E)70.89kg
Rationale: Total weight of 50+70 students = 50*50 + 70*70 = 7400
Average weight of the class is = 7400/120 = 61.67 kg
Answer is C
Answer: C
Question: The sum of two consecutive numbers is 37. What are they?
Options:
A)18 and 19
B)18 and 21
C)18 and 23
D)19 and 20
E)None
Rationale: Two consecutive numbers are like 8 and 9, or 51 and 52.
Let x, then, be the first number. Then the number after it is x + 1.
The problem states that their sum is 37:
word problem = 37
2x = 37 − 1
= 36.
x = 36
2
= 18.
The two numbers are 18 and 19.
Option is A
Answer: A
Question: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/8. For a group of 200 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Options:
A)134
B)146
C)152
D)162
E)170
Rationale: The probability of survival for each of the first 3 months of life is 1-1/8= 7/8, so of 200 newborn 200*7/8*7/8*7/8=~134 is expected to survive.
Answer: A.
Answer: A
Question: Calculate the value of u: 16u^2-7u+2 = 125
Options:
A)5
B)2
C)4
D)1
E)3
Rationale: Using the elimination method substitute options for x and find the correct option.
Answer: E
Answer: E
Question: In a class of 50 students, 20 play Tennis, 15 play Cricket and 11 play Football. 7 play both Tennis and Cricket, 4 play Cricket and Football and 5 play Tennis and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?
Options:
A)10
B)20
C)25
D)30
E)40
Rationale: {Total}={Hockey}+{Cricket}+{Football}-{HC+CH+HF}+{All three}+{Neither} For more check ADVANCED OVERLAPPING SETS PROBLEMS
50=20+15+11-(7+4+5)+{All three}+18 --> {All three}=2;
Those who play ONLY Hockey and Cricket are 7-2=5;
Those who play ONLY Cricket and Football are 4-2=2;
Those who play ONLY Hockey and Football are 5-2=3;
Hence, 5+2+3=10 students play exactly two of these sports.
{Total}={Hockey}+{Cricket}+{Football}-{HC+CH+HF}+{All three}+{Neither} For more check ADVANCED OVERLAPPING SETS PROBLEMS
50=20+15+11-(7+4+5)+{All three}+18 --> {All three}=2;
Those who play ONLY Hockey and Cricket are 7-2=5;
Those who play ONLY Cricket and Football are 4-2=2;
Those who play ONLY Hockey and Football are 5-2=3;
Hence, 5+2+3=10 students play exactly two of these sports.
Answer A
Answer: A
Question: Bradley owns b video game cartridges. If Bradley’s total is one-ninth the total owned by Andrew and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
Options:
A)37b / 4
B)39b / 4
C)41b / 4
D)43b / 4
E)45b / 4
Rationale: b = Bradley’s total
9b = Andrew’s total
b/4 = Charlie’s total
The total number of cartridges is:
b + 9b+ b/4 = (4b + 36b + b) / 4 = 41b / 4
The answer is C.
Answer: C
Question: According to a survey, at least 65% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?
Options:
A)15%
B)20%
C)25%
D)0%
E)35%
Rationale: To minimize the percentage who like all three, let's maximize the percentage who like 2 out of 3.
80% like cherries and 20% don't like cherries.
Let's combine this with the people who like bananas.
20% don't like cherries but do like bananas.
55% like cherries and bananas.
25% like cherries but not bananas.
Now let's distribute the people who like apples.
20% like bananas and apples, but not cherries.
25% like cherries and apples, but not bananas.
20% like all three.
35% like cherries and bananas, but not apples.
The answer is B.
Answer: B
Question: Find the two digit number, such that the ratio is 7/4 of original number to the number formed by reversing the digits.
Options:
A)20
B)21
C)22
D)23
E)24
Rationale: here ratio is 7/4.
so lets check one by one.
for 1 : 7*1/4*1 = 7/4
for 2 : 7*2/4*2 = 14/8 ,which doesn't satisfy the conditions.
for 3 : 7*3/4*3 = 21/12
ANSWER:B
Answer: B
Question: A soccer team played 140 games and won 50 percent of them. How many games did it win?
Options:
A)140
B)94
C)104
D)70
E)80
Rationale: 50% of 140 =x
0.50*140 = x
70=x
answer :D
Answer: D
Question: Arithmetic mean and standard deviation of a certain normal distribution are 13.5 and 2.5. What value is exactly 2 standard deviations less than the mean?
Options:
A) 8.5
B) 11
C) 11.5
D) 12
E) 12.5
Rationale: The value which is exactly two SD below the mean is: mean-2*SD=13.5-2*2.5=8.5.
Answer: A.
Answer: A
Question: A ladies hostel had provision of food for 300 women for 45 days. After 10 days, 275 women left the hostel. The number of days for which the remaining food will last is:
Options:
A)420
B)430
C)450
D)480
E)425
Rationale: Explanation :
After 10 days : 300 women had food for 35 days.
Suppose 25 women had food for x days.
Now, Less women, More days (Indirect Proportion)
25 : 300 :: 35 : x
=> 25 x x = 300 x 35
=> x = 300 x 35 / 25
=> x = 420
Answer : A
Answer: A
Question: An auction house charges a commission of 17% on the first $50,000 of the sale price of an item, plus 10% on the amount of of the sale price in excess of $50,000. What was the price of a painting for which the house charged a total commission of $24,000?
Options:
A)$115,000
B)$160,000
C)$205,000
D)$240,000
E)$365,000
Rationale: Say the price of the house was $x, then 0.17*50,000+0.1*(x-50,000)=24,000 --> x=$205,000 (17% of $50,000 plus 10% of the amount in excess of $50,000, which is x-50,000, should equal to total commission of $24,000).
Answer: C.
Answer: C
Question: In a certain corporation, there are 300 male employees and 150 female employees. It is known that 10% of the male employees have advanced degrees and 40% of the females have advanced degrees. If one of the 450 employees is chosen at random, what is the probability this employee has an advanced degree or is female?
Options:
A)1/5
B)5/15
C)6/15
D)3/10
E)4/15
Rationale: P(female) = 150/450 = 1/3
P(male with advanced degree) = 0.1*300/450 = 30/450 = 1/15
The sum of the probabilities is 6/15 = 2/5
The answer is C.
Answer: C
Question: At a speed of 40 miles per hour, a certain car uses 1 gallon of gasoline every 40 miles. If the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 40 miles per hour, the amount of gasoline used would be what fraction of a full tank?
Options:
A)3/25
B)5/12
C)7/12
D)2/3
E)25/36
Rationale: Gas used = (5 hours)*(40 miles/hour)*(1 gallon/40 miles) = 5 gallons
Portion used = (5) / 12 = 5/12
Ans B
Answer: B
Question: If x ≠ 1 and if yx/(y - x) = 1, what is the value of y in terms of x?
Options:
A)(1-x)/x
B)(x - 1)/x
C)x/(x + 1)
D)(x + 1)/x
E)x/(1-x)
Rationale: This question comes with a particular 'quirk' (one that you probably won't see on Test Day). The GMAT won't test you on the concept of undefined numbers (re: numbers divided by 0), so any time that this concept is a possibility, the question writers have to add a restriction that removes the option that a 0 could occur in the denominator.
Here, we're told that B CANNOT = 1, which is a bit strange because that restriction doesn't seem to impact the original equation much. In fact, it impacts JUST ONE of the answer choices - so you have to ask WHY that restriction is even there. It's actually because that one answer is the correct one.
Final Answer:
E
Answer: E
Question: A salesperson receives a base salary of $1000 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 250 items for $150 each, what will her monthly salary be?
Options:
A)$1,500
B)$1,800
C)$3,250
D)$2,500
E)$2,800
Rationale: Ans : 1000+ 7.5 % * 150 * (250-50) = $ 3250
ANSWER:C
Answer: C
Question: What least number must be subtracted from 427751 so that remaining no.is divisible by 10
Options:
A)3
B)1
C)6
D)8
E)9
Rationale: Explanation:
On dividing 427751 by 10 we get the remainder 1, so 1 should be subtracted
Option B
Answer: B
Question: Which of the following inequalities has (have) a finite range of values of "x" satisfying it (them)?
Options:
A)x^2 + 5x + 6 > 0
B)|x + 2| > 4
C)9x - 7 < 3x + 14
D)x^2 - 4x + 3 < 0
E)(B) and (D)
Rationale: Factorizing x^2 - 4x + 3 < 0 we get, (x - 3)(x - 1) < 0.
This inequality will hold good when one of the terms (x - 3) or (x - 1) is positive and the other is negative.
Evaluating both the options, we get 1 < x < 3. i.e., a finite range of values for "x".
ANSWER : D
Answer: D
Question: P is three times as fast as Q and working together, they can complete a work in 12 days. In how many days can Q alone complete the work?
Options:
A)16 days
B)17 days
C)19 days
D)14 days
E)10 days
Rationale: P = 3Q
P + Q = 3Q + Q = 4Q
These 4Q people can do the work in 12 days, which means Q can do the work in 48 days.
Hence, P can do the work in 16 days.
Answer:A
Answer: A
Question: Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 18000, then find his savings?
Options:
A)3600
B)3607
C)3608
D)3602
E)3603
Rationale: Let the income and the expenditure of the person be Rs. 5x and Rs. 4x respectively.
Income, 5x = 18000 => x = 3600
Savings = Income - expenditure = 5x - 4x = x
So, savings = Rs. 3600.
Answer:A
Answer: A
Question: There are 12 yes or no questions. How many ways can these be answered?
Options:
A)1254
B)3624
C)4578
D)4096
E)3265
Rationale: Each of the questions can be answered in 2 ways (yes or no)
Therefore, no. of ways of answering 12 questions = 212 = 4096 ways.
Ans: D
Answer: D
Question: Simplify: 0.3*0.8+0.1*0.5
Options:
A)0.52
B)0.29
C)0.48
D)0.64
E)0.46
Rationale: Given exp. = 0.3*0.8+(0.1*0.5) = 0.24+0.05 = 0.29
Answer is B.
Answer: B
Question: There is a train and car. The ratio btw the speed of a train & a car is 16:15 respectively. Also, a bus covered a distance of 480km in 8h. The speed of the bus is 3/4th of the speed of the train. How much distance will the car cover in 6h?
Options:
A)300 km
B)400 km
C)420 km
D)430 km
E)450 km
Rationale: Sol. Speed of bus = 480/8 = 60km/ h
Speed of train = (60*4)/3=80 km / h
Speed of train : Speed of car = 16 : 15
Speed of car =80/16 * 15 = 75 km/ h
Distance covered by car in 6 hr = 75 × 6 = 450 km
E
Answer: E