divelab/Sys2Bench huggingface dataset:
Question: In a mixture of milk and water, the proportion of milk by weight was 90%. If, in a 120-gram mixture, 30 grams of pure milk is added, what would be the percentage of milk in the resulting mixture?
Options:
A)91.4%
B)91.6%
C)91.8%
D)92.0%
E)92.2%
Rationale: The amount of milk is 0.9(120) + 30 = 138 grams.
The proportion is 138/150 = 0.92 which is 92%
The answer is D.
Answer: D
Question: Farm Tax is levied on the 75% of the cultivated Land. The tax department collected total $ 3840 through the farm Tax from the village of Mr. william. Mr. william paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is :
Options:
A)15%
B)25%
C)0.125%
D)0.2083%
E)16.667%
Rationale: This will be equal to the percentage of total cultivated land he holds over the total cultivated land in the village. That leads to (480/3840)x100 =12.5%in percentage terms.
But the question asks ratio between his total land to total cultivated land. Hence the answer is 12.5%x (100/75) = 16.667%
The correct answer is (E).
Answer: E
Question: If (a-7)(b-2) =0, which of the following must be true ?
I. a=7 and b=2
II. if a is not 7, then b=2
III. if a=7, then b is not=2
Options:
A)I only
B)II only
C)III only
D)I and II
E)II and III
Rationale: (a-7)(b-2)=0
So either a=7 or b=2 or both. It is 'or' not 'and', so it could be any of the three possibilities. Thus I and III are not necessarily true.
The answer is B.
Answer: B
Question: A palindrome is a number that reads the same front-to-back as it does back-to-front (e.g. 202, 575, 1991, etc.) p is the smallest integer greater than 100 that is both a prime and a palindrome. What is the sum of the digits of p?
Options:
A)3
B)4
C)5
D)6
E)7
Rationale: Given that p is smallest integer greater than 200 - assume there is a 3-digit that satisfies the above conditions. Let the number be xyx ; question asks us the values of 2x+y
We can straight away cross out options A) and D) - sum of digits 3 or 6 implies it is divisible by 3 ---> we know that p is a prime number
Coming to option B) 2x + y = 4 --> only x = 2 and y = 0 satisfy this equation ( x> 2 will never give sum of digits = 4) ; but 202 is divisible by 2 ; we know that p is a prime number
Similarly option C) 2x+y = 5 --> only x = 2 and y = 1 satisfy this equation ( x> 2 will never give sum of digits = 5) ; but 212 is divisible by 2 ; we know that p is a prime number
Therefore answer option should be E ---> can be verified by taking 2x+y = 7 ---> x = 3 and y = 1 ; gives 313
C
Answer: C
Question: A monkey start climbing up a tree 19 ft tall.Each hour it hops 3 ft and slips back 2 ft. How much time would it take the monkey to reach the top.
Options:
A)15 hrs
B)18 hrs
C)19 hrs
D)17 hrs
E)16 hrs
Rationale: if monkey hops 3ft and slips back 2ft in a hour, it means the monkey hops (3ft-2ft)= 1ft/hr.
similarly in 16hrs it wil be 16ft.
Bt since the height of the tree is 19ft, so if the monkey hops up the tree in the next hr i.e 17th hr then it reaches at the top of the tree.
hence it takes 17 hrs for monkey to reach at the top
ANSWER:D
Answer: D
Question: In a boat there are 8 men whose average weight is increased by 1 kg when 1 man of 60 kg is replaced by a new man. What is weight of new comer?
Options:
A)70
B)66
C)68
D)69
E)72
Rationale: Solution: Member in group * age increased = difference of replacement
Or, 8*1 = new comer - man going out
Or, new comer = 8+60;
Or, new comer = 68 years.
Answer: Option C
Answer: C
Question: If there are 10 apples and 20 oranges, what is the ratio of apples to oranges?
Options:
A)10:20
B)2:4
C)1:2
D)4:8
E)It cannot be determined from the information given
Rationale: A ratio should be reduced to the lowest common denominator.
10:20 means 10x:20x which can be written as 1(10):2(10)...
ANSWER:C
Answer: C
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 5 kmph, what time will he take to cover 60 metres?
Options:
A)16 seconds
B)76 seconds
C)10.8 seconds
D)12 seconds
E)18 seconds
Rationale: Speed of the boat downstream = 15 + 5
= 20 kmph
= 20 * 5/18 = 50/9 m/s
Hence time taken to cover 60 m
= 60*9/50
= 10.8 seconds.
Answer: C
Answer: C
Question: Find the first term and the common ratio of a G.P whose fourth term is 250 and seventh term is 31,250
Options:
A)2/5,25
B)4,5/2
C)1,16
D)2,5
E)1,5
Rationale: a*r ^3 = 250, a *r ^6 =31,250, r ^3 =31,250/250 = 125
r = 5, a* 125 = 250, a = 2
ANSWER:D
Answer: D
Question: Juan is a gold medalist in athletics. In the month of May, if Juan takes 13 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Options:
A)10x/y
B)11x/y
C)9x/y
D)12x/y
E)13x/y
Rationale: velocity=distance/time;
since he ran at same rate both d tyms,
y/13=x/t
so t=13x/y
ANSWER:E
Answer: E
Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Options:
A)4 min
B)5 min
C)3 min 4 sec
D)4 min 5 sec
E)Data inadequate
Rationale: Explanation:
S = 600/40 = 15 mps
S = 3600/15 = 240 sec = 4 min
ANSWER IS A
Answer: A
Question: Calculate the HCF of 64, 592, 960
Options:
A)15
B)16
C)13
D)14
E)12
Rationale: Explanation:
Lets solve this question by factorization method.
The factors of 64 are: 1, 2, 4, 8, 16, 32, 64
The factors of 592 are: 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
The factors of 960 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Then the greatest common factor is 16.
Answer: Option B
Answer: B
Question: What is the next number in the series?
1,5,9,13...
Options:
A)19
B)17
C)24
D)25
E)28
Rationale: Adding (0,2,4,6,8,10) to the odd numbers
1+0=1
3+2=5
5+4=9
7+6=13
9+8=17
answer B
Answer: B
Question: A train takes 9 hrs to cover distance with the speed 85kmph. Find distance the train travelled.
Options:
A)750
B)850
C)725
D)765
E)675
Rationale: Length = Speed * time
Length =85kmph * 9 hrs
Length =765km
Ans : (D)
Answer: D
Question: A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is?
Options:
A)16%
B)15%
C)12%
D)22%
E)19%
Rationale: S.I. for 3 years = (12005 - 9800) = Rs. 2205
S.I. for 5 years = Rs. 2205/3 * 5 = Rs. 3675.
Principal = (9800 - 3675) = Rs. 6125
Hence, rate = (100 * 3675) / (6125 * 5)
= 12%
Answer: C
Answer: C
Question: Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 16% if no discount was offered?
Options:
A)17608
B)17606
C)17604
D)17600
E)18560
Rationale: Price at which the TV set is bought = Rs. 12,500
Discount offered = 20%
Marked Price = 12500 * 100/80 = Rs. 15625
The total amount spent on transport and installation = 125 + 250 = Rs. 375\Total price of TV set = 15625 + 375 = Rs. 16000
The price at which the TV should be sold to get a profit of 16% if no discount was offered = 16000 * 116/100 = Rs. 18560.Answer: E
Answer: E
Question: There is enough provisions for 600 men in an army camp for 25 days. If there were 100 men less, how long will the provision last?
Options:
A)10days
B)50days
C)100days
D)150days
E)200days
Rationale: Exp: We have, M1D1 = M2D2
600*25= 100* D2
D2 = 600*25/100 = 150 days.
Answer: D
Answer: D
Question: A cheese factory sells its cheese in rectangular blocks. A normal block has a volume of 5 cubic feet. If a large block has twice the width, twice the depth, and the same length of a normal block, what is the volume of cheese in a large block in cubic feet?
Options:
A)15
B)30
C)20
D)18
E)25
Rationale: Volume of cube=lbh=5
New cube l ,b, h are increases of l, 2b,2h
New volume of cube =l*2b*2h=4*lbh
=4*5
=20
Answer: C
Answer: C
Question: If the sides of a triangle are 65 cm, 60 cm and 25 cm, what is its area?
Options:
A)120 cm2
B)750 cm2
C)216 cm2
D)197 cm2
E)275 cm2
Rationale: The triangle with sides 65 cm, 60 cm and 25 cm is right angled, where the hypotenuse is 65 cm.
Area of the triangle
= 1/2 * 60 * 25
= 750 cm2
Answer:B
Answer: B
Question: The ratio of two quantities is 3 to 4. If each of the quantities is increased 4 and 3 respectively, what is the ratio of these two new quantities?
Options:
A)3/4
B)8/9
C)18/19
D)23/24
E)It cannot be determined from the information given
Rationale: 3/4 = 3x/4x
we need to find out (3x+4)/(4x+3) off course we cannot solve this to arrive at any rational number hence E.
Answer: E
Question: Let S1 be a square of side a. Another square S2 is formed by joining the mid-points of the sides of S1. The same process is applied to S2 to form yet another square S3, and so on. If A1, A2, A3 .. be the areas and P1, P2, P3,…….. be the perimeters of S1, S2, S3,..., respectively, then the ratio (P1 + P2 +P3+ ......) / (A1 + A2 + A3 +.......) equals :-
Options:
A)2(1+√2)/a
B)2(2+√2)/a
C)2(2+√2)/a
D)2(1+2√2)/a
E)None of these
Rationale: Explanation :
side of S1= a, perimeter of S1= 4a, area of S1 = a2
side of S2= a/√2 , perimeter of S2= 2√2a , area of S2 = a2/2
side of S3= a/2 , perimeter of S3= 2a , area of S3= a2/4
So, for P1 + P2 + P3 .... we will have a GP as below
4a + 2√2a + 2a + .....
First term =4a, common ratio = 1/√2, Sum = 4a/( 1-1/√2) = 4√2a/(√2 - 1)
For A1 + A2 + A3....we will have another GP
a2 + a2/2 + a2/4 .....
First term = a2 , common ratio = 1/2 , Sum = 2a2.
Hence, the required ratio :-
i.e (P1 + P2 + P3....) / (A1+ A2+A3....).
=> 4√2a / (√2 - 1) / 2a2.
=> 2√2(√2 + 1)/a.
=> 2(2 +√2)/a .
Answer : B
Answer: B
Question: A survey reveals that the average income of a company’s customers is $45,000 per year. If 40 customers respond to the survey and the average income of the wealthiest 10 of those customers is $75,000, what is the average income of the other 30 customers?
Is there a way to solve this using weighted average concept instead of doing tedious calculations?
Options:
A) $27,500
B) $35,000
C) $37,500
D) $42,500
E) $50,000
Rationale: let x be the average of 30 customers
30*x + 10* 75000 = 40*45000
solving this we have x= 35000
Answer is B.
Answer: B
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Options:
A)780m
B)180m
C)170m
D)140m
E)186m
Rationale: Length of the train be ‘X’
X + 120/15 = X + 180/18
6X + 720 = 5X + 900
X = 180m
Answer:B
Answer: B
Question: In a box, there are 7 red, 3 blue and 5 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green?
Options:
A)2/3
B)8/21
C)3/7
D)7/15
E)10/21
Rationale: Explanation:
Total number of balls = (7 + 3 + 5) = 15.
Let E = event that the ball drawn is neither blue nor green =e vent that the ball drawn is red.
Therefore, n(E) = 7.
P(E) = 7/15.
Answer: Option D
Answer: D
Question: The average weight of 20 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 20 persons?
Options:
A)55
B)56
C)57
D)58
E)59
Rationale: 20x + 46 = 21(x – 5)
X=59
ANSWER:E
Answer: E
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 10 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is :
Options:
A)22
B)21
C)88
D)30
E)29
Rationale: Explanation:
Lot the total number of workers be v Then,
8OOOv = (12000 * 10) + 6000 (v - 10) <=> 2000v = 60000 <=> v = 30
Answer: D) 30
Answer: D
Question: A 4-letter code word consists of letters D, E, and G. If the code includes all the three letters, how many such codes are possible?
Options:
A)72
B)48
C)36
D)24
E)18
Rationale: Note that the correct answer to this question is 36, not 72.
D-DEG can be arranged in 4!/2!=12 ways;
E-DEG can be arranged in 4!/2!=12 ways;
G-DEG can be arranged in 4!/2!=12 ways;
Total: 12+12+12=36.
Answer: C.
Answer: C
Question: 3/4 of 1/2 of 2/5 of 5000 = ?
Options:
A)392
B)229
C)753
D)750
E)540
Rationale: D
750
? = 5000 * (2/5) * (1/2) * (3/4) = 750
Answer: D
Question: If x+y=3 and x2y3 + y2x3=27, what is the value of xy?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: xy=3
As x+y=3
x2y3+y2x3=27
x2y2(y+x)=27
Substituting x+y
x2y2=9
xy=3
ANSWER:C
Answer: C
Question: Without stoppages, a train travels certain distance with an average speed of 250 km/h, and with stoppages, it covers the same distance with an average speed of 125 km/h. How many minutes per hour the train stops ?
Options:
A)25
B)30
C)35
D)40
E)45
Rationale: Due to stoppages, it covers 125 km less .
Time taken to cover 125 km = 125â„250h = 1â„2h
= 1â„2 Ã— 60 min = 30 min
Answer B
Answer: B
Question: A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 14% while buying and by 20% while selling. What is his percentage profit?
Options:
A)10.22%
B)20.22%
C)21.22%
D)42.5%
E)Can't be calculated
Rationale: The owner buys 100 kg but actually gets 114kg;
The owner sells 100 kg but actually gives 80kg;
Profit: (114-80)/80*100=~42.5%
Answer: D.
Answer: D
Question: Three numbers are in the ratio 3:4:5 and their L.C.M. is 600. Their H.C.F is?
Options:
A)10
B)30
C)40
D)50
E)60
Rationale: Let the numbers be 3x,4x and 5x
their L.C.M. = 60x
60x =600
x = 10
The numbers are 3*10 , 4*10 , 5*10
Hence required H.C.F. = 10
Answer is A
Answer: A
Question: A certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. If 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans, what is the least amount of paint E, in gallons, that must be purchased in order to measure out the portions needed for the mixture?
Options:
A)2
B)2 1/2
C)3
D)3 1/2
E)4
Rationale: Given W:B = 3:5
That means say 3 gallons of white paint + 5 gallons of black paint = 8 gallons of paint mixture.
But we want least amount of whiteblack paints for minimum of 2 gallons of mixture, so lets reduce keeping same ratio,
1.5 : 2.5 gives 1.5 + 2.5 = 4 gallons of mixture, but we want only 2 gallons, lets further reduce
0.75: 1.25 gives 1+1.5 =2.5 gallons of mixture. This looks ok, but lets reduce further just to be sure
0.375: 0.625 gives 0.5 + 1 = 1.5 gallons of mixture, thats less than 2 gallons of mixture, so not acceptable.
So correct ans is 2.5 gallons. B
Answer: B
Question: Statement: The authorities in Society X are cracking down on street hawkers, blaming them for traffic jams near their society.
Actions:
I. Street hawkers should not be allowed during peak hours
II. Street hawkers should be warned and asked not to create chaos.
Options:
A)Only I follows
B)Only II follows
C)Either I or II follows
D)Neither I nor II follows
E)Both I and II follow
Rationale: Explanation: Here a situation of traffic jam is depicted and the actions mentioned, give different ways for improving the situation.
ANSWER IS B
Answer: B
Question: A library has an average of 510 visitors on Sundays and 240 on other day. The average number of visitors in a month of 15 days starting with sunday is
Options:
A)280
B)285
C)290
D)295
E)570
Rationale: Explanation:
As the month begin with sunday, so there will be five sundays in the month. So result will be:
=(510×5+240×25/15)=(8550/15)=570
Answer: Option E
Answer: E
Question: A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?
Options:
A)33388
B)27889
C)27889
D)59000
E)27991
Rationale: Interest received by A from B = 10% of half of Rs.50000 = 10% * 25000 = 2500.
Amount received by A per annum for being a working partner = 1500 * 12 = Rs.18000.
Let 'P' be the part of the remaining profit that A receives as his share. Total income of A = (2500 + 18000 + P)
Total income of B = only his share from the remaining profit = 'P', as A and B share the remaining profit equally.
Income of A = Twice the income of B
(2500 + 18000 + P) = 2(P)
P = 20500
Total profit = 2P + 18000
= 2*20500 + 18000 = 59000
Answer:D
Answer: D
Question: After working for 4 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work?
Options:
A)13 1/3 days
B)14 1/3 days
C)15 1/3 days
D)3 1/3 days
E)23 1/3 days
Rationale: 1/3 ---- 4
1 -------? A = 12
R = 1/12 * 60/100 = 1/20
1 ----- 1/20
2/3 ----? => 13 1/3 days
ANSWER:A
Answer: A
Question: Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:
Options:
A)2:3
B)4:3
C)6:7
D)9:16
E)9:7
Rationale: Let us name the trains as A and B. Then,
(A's speed) : (B's speed) = √b : √a = √16 : √9 = 4 : 3.
Answer :B
Answer: B
Question: x is the product of all even numbers from 2 to 50, inclusive. The smallest prime factor of x+1 must be
Options:
A)Between 1 and 10
B)Between 11 and 15
C)Between 15 and 20
D)Between 20 and 25
E)Greater than 25
Rationale: Factorial 2 +1=3
smallest factor is 3==>this is greater than 2
factorial 3 + 1=7
smallest factor is 7==>this is greater than 3
factorial 4 + 1 = 25
smallest factor is 5==>which is greater than 4
factorial 5 + 1= 121
smallest factor is 11==>which is greater than 5
(note: i am excluding 1 as a smallest factor)
now by seeing this pattern you can figure out that..
(factorial x + 1)==>smallest factor will always be greater than x
now coming to our problem
all even no.s between 2 to 50
2*4*6*8......*48*50
now take 2 from each number common.
2^25(1*2*3*4*5*......25)
or 2^25*factorial 25
now x+1= 2^25*factorial 25 + 1===>clearly smallest factor will be greater than 25(as proved above)
ANSWER:E
Answer: E
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.95 less, he could have gained 25%. What is the cost price?
Options:
A)372
B)375
C)278
D)475
E)288
Rationale: CP1 = 100 SP1 = 120
CP2 = 80 SP2 = 80 * (125/100) = 100
20 ----- 100
95 ----- ? => 475
Answer:D
Answer: D
Question: At a local appliance manufacturing facility, the workers received a 25% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?
Options:
A)83%
B)80%
C)20%
D)17%
E)12%
Rationale: Let's say he works usually 10 hours and earns 100 per hour.
10 * 100 = 1000
10 * 125 = 1250 (this are the new earnings after the raise)
To figure out how much he needs to work with the new salary in order to earn the original 1000:
1000/125 = 8
So he can reduce his work by 2 hours. Which is 20%.
Answer C
Answer: C
Question: 50% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?
Options:
A)70
B)97
C)84
D)90
E)76
Rationale: Given, 50% of Ram's marks = 20% of Rahim's marks = 30% of Robert's marks.
Given, marks of Robert = 80
30% of 80 = 30/100 * 8 = 24
Given, 50% of Ram's marks = 24.
=> Ram's marks = (24 * 100)/50 =48
Also, 20% of Rahim's marks = 24
=> Rahim's marks = (24 * 100)/20 = 120
Average marks of Ram and Rahim = (48 + 120)/2 = 84.
Answer:C
Answer: C
Question: The ratio of the ages of Mini and Minakshi is 4 : 3. The sum of their ages is 28 years. The ratio of their ages after 6 years will be
Options:
A)2 : 3
B)7 : 11
C)5 : 4
D)4 : 5
E)11 : 9
Rationale: Let Mini’s age = 4x and Minakshi’s age = 3x
Then 4x + 3x = 28
x = 4
Mini’s age = 16 years
And Minakshi’s age = 12 years
Ratio of their ages after 8 years = (16 + 6) : (12 + 6) = 22 : 18 = 11 : 9
ANSWER:E
Answer: E
Question: If −y ≥ x, and −x < −7, then which of the following must be true?
Options:
A)y = −7
B)y > −7
C)−y > 7
D)y ≤ −7
E)y ≥ −7
Rationale: −y ≥ x, and −x < −7
y <= -x < -7
As '-x' is less than '-7' and Y is less than or equal to '-x'
we have y < -7 which is similar to -y > 7.
C) -y > 7
Answer: C
Question: Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 11220, how much money did he borrow?
Options:
A)11000
B)80288
C)2668
D)2600
E)2781
Rationale: Let the sum be Rs. x. Then,
[(x * 6 * 3)/100] + [(x * 9 * 5)/100] + [(x * 13 * 3)/100] = 11220
18x + 45x + 39x = (11220 * 100)
102x = 1122000 => x = 11000.
Answer:A
Answer: A
Question: The owner of a furniture shop charges his customer 42% more than the cost price. If a customer paid Rs. 8300 for a computer table, then what was the cost price of the computer table?
Options:
A)Rs. 5725
B)Rs. 5845
C)Rs. 6275
D)Rs. 6725
E)None of these
Rationale: CP = SP * (100/(100 + profit%))
= 8300(100/142) = Rs. 5845.
ANSWER:B
Answer: B
Question: When Jack picks olives for two hours at three times his regular speed, he picks 20 pounds of olives more than Mac working for five hours at 80% of his regular speed. Therefore, if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 75% of his regular speed, then
Options:
A)Jack picks double the amount of olives Mac picks
B)Mac picks 10 pounds more than Jack
C)Jack picks 10 pounds more than Mac
D)Mac picks 5 more pounds than Jack
E)Jack picks 5 more pounds than Mac
Rationale: Let's say Jack's regular speed is J olives/hr and Mac's regular speed is M olives/hr
Given:
2*3J = 10 + 5*(4/5)M
3J = 5 + 2M
Question:if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 75% of his regular speed
Mac picks 2M and Jack picks 4*(3/4)J = 3J
They are asking you for the relation between 3J and 2M. You already know 3J = 5 + 2M
So Jack picks 5 pounds more olives than Mac.
D
Answer: D
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 3 seconds. What is the length of the fast train ?
Options:
A)27 7/9
B)16 2/3
C)29 7/9
D)30 7/9
E)None of these
Rationale: Explanation:
As Trains are moving in same direction,
So, Relative Speed = 40-20 = 20 kmph
= 20*(5/18) = 50/9 m/sec
Length of Train= Speed * Time
Length=50/9âˆ—3
=150/9
=16 2/3
Option B
Answer: B
Question: If Teena is driving at 55 miles per hour and is currently 7.5 miles behind Poe, who is driving at 40 miles per hour in the same direction then in how many minutes will Teena be 15 miles ahead of Poe?
Options:
A)15
B)60
C)75
D)90
E)105
Rationale: This type of questions should be solved without any complex calculations as these questions become imperative in gaining that extra 30-40 seconds for a difficult one.
Teena covers 55 miles in 60 mins.
Poe covers 40 miles in 60 mins
So teena gains 15 miles every 60 mins
Teena need to cover 7.5 +15 miles.
Teena can cover 7.5 miles in 30 mins
Teena will cover 15 miles in 60 mins
So answer 30+60= 90 mins=D
Answer: D
Question: What is the average of four tenths and five thousandths?
Options:
A)0.2022
B)0.2012
C)0.2025
D)0.2021
E)0.2029
Rationale: Four tenths = 0.4
Five thousandths = 0.005
The average is (0.4 + 0.005)/2 = 0.2025
Answer: C
Answer: C
Question: Find the area of the quadrilateral of one of its diagonals is 15 cm and its off sets 6 cm and 4 cm?
Options:
A)50 cm2
B)60 cm2
C)75 cm2
D)90 cm2
E)150 cm2
Rationale: 1/2 * 15(6 + 4)
= 75 cm2
Answer: C
Answer: C
Question: The number of ways in which ten candidates A1, A2, ...., A10 can be ranked so that A1 is always above A2 is
Options:
A)10!⁄2
B)10!
C)9!
D)8!⁄2
E)None of these
Rationale: Ten candidates can be ranked in 10! ways. In half of these ways A1 is above A2 and in another half A2 is above A1.
So, required number of ways is 10!⁄2
Answer A
Answer: A