divelab/Sys2Bench huggingface dataset:
Question: A certain company reported that the revenue on sales increased 20 % from 2000 to 2003, and increased 40 % from 2000 to 2005. What was the approximate percent increase in revenue for this store from 2003 to 2005?
Options:
A)50 %
B)40 %
C)35 %
D)32 %
E)17 %
Rationale: Assume the revenue in 2000 to be 100. Then in 2003 it would be 120 and and in 2005 140, so from 2003 to 2005 it increased by (140-120)/120=20/120=17%
Answer: E.
Answer: E
Question: Look at this series: V, __, XI, XIV, XVII, XX, ... What number should fill the blank?
Options:
A)IX
B)XXIII
C)XV
D)VII
E)None
Rationale: Explanation: This is a simple addition series; each number is 3 more than the previous number.
Answer: D
Answer: D
Question: A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability K that the sum of the three numbers on the balls selected from the box will be odd?
Options:
A)1/4
B)3/8
C)1/2
D)5/8
E)3/4
Rationale: The sum of the three numbers on the balls selected from the box to be odd one should select either three odd numbered balls (Odd+Odd+Odd=Odd) or two even numbered balls and one odd numbered ball (Even+Even+Odd=Odd);
P(OOO)=(1/2)^3;
P(EEO)=3*(1/2)^2*1/2=3/8 (you should multiply by 3 as the scenario of two even numbered balls and one odd numbered ball can occur in 3 different ways: EEO, EOE, or OEE);
So finally K=1/8+3/8=1/2.
Answer: C.
Answer: C
Question: Simple interest at x% for x years will come out to be Rs x on a sum of Rs?
Options:
A)109/x
B)130/x
C)100/x
D)120/x
E)101/x
Rationale: Explanation:
Formula for Simple Interest:
SI = Principal*Rate*Time
SI= x
Rate= x/100
Time= x
=> x= Principal*(x/100)*x
=>Principal Amount= 100/x
ANSWER: C
Answer: C
Question: The average of any 5 consecutive odd natural numbers is k . If two more such numbers , just next to the previous 5 numbers are added , the new average becomes
Options:
A)k+8
B)k+1
C)k+9
D)k+2
E)k+4
Rationale: Explanation:
The 5 consecutive odd numbers whose average is k are (k-4), (k-2), k, (k+2), (k+4)
Again the average of (k-4), (k-2), k, (k+2), (k+4), (k+6), (k+8) is (k+2)
Answer: D
Answer: D
Question: Brenda and Sally run in opposite direction on a circular track, starting at diametrically opposite points. They first meet after Brenda has run 300 meters. They next meet after Sally has run 150 meters past their first meeting point. Each girl runs at a constant speed. What is the length of the track in meters?
Options:
A)250
B)300
C)350
D)700
E)500
Rationale: Nice problem. +1.
First timetogetherthey run half of the circumference.
Second timetogetherthey run full circumference.
First time Brenda runs 300 meters, thus second time she runs 2*300 = 600 meters.
Since second time (when they run full circumference) Brenda runs 600 meters and Sally runs 150 meters, thus the circumference is 600 + 150 = 750 meters.
Answer: D.
Answer: D
Question: What is the remainder when 43717^(43628233) is divided by 5?
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: We need to find the units digit of the number.
The units digit of powers of seven repeats 7, 9, 3, and 1 cyclically.
Since 43628233 has the form 4a + 1, the units digit is 7.
Then the remainder when dividing by 5 is 2.
The answer is C.
Answer: C
Question: If 1/4 of the time from midnight plus 1/2 of the time from now to midnight is the present time,then what is the present time ?
Options:
A)9:36 AM
B)9:39 AM
C)9:26 AM
D)9:46 AM
E)9:56 AM
Rationale: Midnight = 12 AM
let the present time is x ( taking the total time from one midnight to other is 24 hours)
so according to the given condition x/4 + (24-x)/2 = x
on solving we will get x = 9.6 means 9 hours 0.6*60 minute = 9:36 AM
ANSWER:A
Answer: A
Question: The profit earned by selling an article for $832 is equal to the loss incurred when the same article is sold for $448. What should be the sale price for making 50% profit?
Options:
A)780
B)490
C)960
D)690
E)500
Rationale: C
$960
Let C.P. = $x.
Then, 832 - x = x - 448
2x = 1280 => x = 640
Required S.P. = 150% of $640 = 150/100 * 640 = $960.
Answer: C
Question: A small, experimental plane has three engines, one of which is redundant. That is, as long as two of the engines are working, the plane will stay in the air. Over the course of a typical flight, there is a 1/3 chance that engine one will fail. There is a 79% probability that engine two will work. The third engine works only half the time. What is the probability that the plane will crash in any given flight?
Options:
A) 7/12
B) 1/4
C) 1/2
D) 7/24
E) 17/24
Rationale: In probability questions the trap answer is just the multiple of the numbers in the question.
i.e. if you multiply 1/3 * 1/4 * 1/2 = 1/24 is trap answer
The other trap answer could be 2/3 * 3/4 * 1/2 = 6/24 is trap answer
So lets say you have30 secsand you want to guess the answer then B, C are ruled out because they can be traps. You best guess is A, D, E. So you have 33% chances of being correct.
A
Answer: A
Question: A man has Rs. 312 in the denominations of one-rupee notes, five-rupee notes and twenty-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Options:
A)36
B)35
C)34
D)33
E)31
Rationale: Let the number of notes of each denomination be x
Then, x + 5x + 20x = 312
=> 26x = 312
=> x = 312/26 = 12
the total number of notes that he has = 3x = 3 × 12 = 36
Answer is A.
Answer: A
Question: If n is a natural number, then (6n^2 + 6n) is always divisible by:
Options:
A)6
B)12
C)24
D)6 only
E)6 and 12 both
Rationale: Explanation:
(6n^2 + 6n) = 6n(n + 1), which is always divisible by 6 and 12 both, since n(n + 1) is always even.
E
Answer: E
Question: When 1/10 percent of 6,000 is subtracted from 1/10 of 6,000, the difference is
Options:
A)60
B)600
C)5994
D)5940
E)594
Rationale: (1/10)*6000 - (1/10)%*6000 =
600 - (1/1000)*6000 =
600 - 6 = 594
The answer is E.
Answer: E
Question: What is the least number which when divided by 5, 9, 12 and 18 leaves remainder 4 in each care?
Options:
A)130
B)140
C)136
D)184
E)196
Rationale: Explanation:
LCM of 5, 9, 12 and 18 is 180
Required number = 180 + 4 = 184
Answer: Option D
Answer: D
Question: There are 11 women and 7 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
Options:
A)120
B)1155
C)1,060
D)1,520
E)1,980
Rationale: Answer is E. Can somebody tell me what answer I may have found if I had added the 11C2 and 7C2 (55+21=76)?
I'm guessing that would've been the number of 2-member committees which had men and women separately. Is that right?
B
Answer: B
Question: How many ways are there to split a group of 6 boys into two groups of 3 boys each? (The order of the groups does not matter)
Options:
A)8
B)10
C)16
D)20
E)24
Rationale: Solution:
Division by 2 has to be made, because in scenarios like
ABC EFG
EFG ABC or,
CBA GFE
GFE CBA,
C(6,3)/2 =B
Answer: B
Question: Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer)
Options:
A)Rs.4273
B)Rs.4613
C)Rs.4064
D)Rs.4266
E)None of these
Rationale: CI = 14800{ [ 1 + 13.5/100]2 - 1 }
= 14800 { [1 + 27/200]2 - 1
= 14800 { 2 + 27/200}{27/200}
= (74)[2 + 27/200](27) =
1998[2 + 27/200] = 3996 + 269.73 = Rs. 4266
ANSWER:D
Answer: D
Question: Out of first 28 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is -.
Options:
A)1/2
B)16/19
C)4/5
D)22/28
E)3/5
Rationale: n(S) = 28
n(Even no) = 14 = n(E)
n(Prime no) = 9 = n(P)
P(EᴜP) = 14/28 + 9/28 - 1/28 = 22/28
ANSWER:D
Answer: D
Question: Mahesh can do a piece of work in 50days. He works at it for 20days and then Rajesh finished it in 30days. How long will Y take to complete the work?
Options:
A)45
B)25
C)37
D)41
E)50
Rationale: Work done by Mahesh in 50days = 20*1/50 = 2/5
Remaining work = 1 - 2/5 = 3/5
3/5 work is done by Rajesh in 30days
Whole work will be done by Rajesh is 30*5/3= 50days
Answer is E
Answer: E
Question: The average salary of the employees in a office is Rs.120/month.The avg salary of officers is Rs.460 and of non officers is Rs 110. If the no.of officers is 15,then find the No of nonofficers in the office.
Options:
A)135
B)175
C)567
D)648
E)510
Rationale: Let no. of non- officers be x
15 * 460 + x * 110 = (x + 15) 120
x = 510
E
Answer: E
Question: On a 26 question test, 5 points were deducted for each wrong answer and 8 points were added for right answers. If all the questions were answered how many were correct if the score was zero.
Options:
A)22
B)78
C)66
D)288
E)211
Rationale: Answer:B
Answer: B
Question: The distance between A&B is 600km. A person is traveling from A to B at 70km/hr started at 10AM and another person is traveling from B to A at 80km/hr and started at same time. Then at what time they meet together.
Options:
A)2PM
B)4PM
C)1PM
D)3PM
E)5PM
Rationale: Let x hours be they will meet together
distance covered by 1st person+distance covered by 2nd person = 600km
70x+80x = 600
x= 4 hr
They will meet = 10AM +4hr = 2PM
Answer is A
Answer: A
Question: there are 6561balls are there out of them 1 is heavy,find the minimum no of times the balls have to b weighted for finding out the heavy ball?
Options:
A)7
B)8
C)9
D)10
E)11
Rationale: as 6561 =3^8
so minimum 8 number of times , balls have to be weighed.
ANSWER:B
Answer: B
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 25% 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)$75
B)$40
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 25%, so the manufacturing must have been $75. Answer = (A).
Answer: A
Question: Three partners A,B and C invest Rs.18000, Rs.22500 and Rs.27000 respectively in a business. If total profit is Rs.12000 then C's share is (in Rs.)
Options:
A)10000
B)6500
C)4800
D)7800
E)8500
Rationale: 18000:22500:27000
4:5:6
c share=12000*6/15=4800
ANSWER:C
Answer: C
Question: Your friend collecting balls. Suppose he start out with 59 balls . You gave him another 20 balls. How many balls do your friend have at the end?
Options:
A)79
B)97
C)59
D)20
E)95
Rationale: Solution
Friend start with 59 balls.
You gave 20 balls: 59 + 20 = 79 balls.
So your friend will have 79 balls at the end.
Correct answer: A
Answer: A
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 3 kmph, what time will he take to cover 100 metres?
Options:
A)22 seconds
B)65 seconds
C)78 seconds
D)20 seconds
E)21 seconds
Rationale: Speed of the boat downstream
= 15 + 3 = 18 kmph
= 18 * 5/18 = 5 m/s
Hence time taken to cover 60 m
= 100/5 = 20 seconds.
Answer:D
Answer: D
Question: In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?
Options:
A)80%
B)100%
C)84%
D)87.5%
E)None of these
Rationale: Percentage of milk in the mixture formed = [80/100 (180) + 36] / (180 + 36) * 100% = (144 + 36)/216 * 100% = 5/6 * 100% = 83.33%.
ANSWER:A
Answer: A
Question: f two positive numbers are in the ratio 1/8 : 1/5, then by what percent is the second number more than the first?
Options:
A)50%
B)80%
C)60 percent
D)84%
E)87%
Rationale: Given ratio = 1/8 : 1/5 = 5 : 8
Let first number be 5x and the second number be 8x.
The second number is more than first number by 3x.
Required percentage = 3x/5x * 100 = 60%.
Answer:C
Answer: C
Question: Jerome anticipated that the WebWeb.com stock price would fall and sold all his WebWeb.com stocks for $5 per stock. He paid $10,000 tax on the revenue. A week later, Jerome became convinced that the WebWeb.com stock price would rise, and he used the money that he had gotten from selling the WebWeb.com stocks to purchase them again, this time at $6 per stock. If Jerome ended up having 2000 WebWeb.com stocks fewer than the number he had before selling them, how many WebWeb.com stocks did he have originally?
Options:
A)10,000
B)11,600
C)12,000
D)14,000
E)16,400
Rationale: Let the number of shares be x.
5*x -10000(money paid in taxes) = 6(x- 2000)
Solving for x, we get the shares as 12000.
Ans :(Option C)
Answer: C
Question: Cal wants to invest Rs. 50000 at the local bank that offers a rate of 12% per annum per year. If the interest is compounded monthly, how much will Cal get at the end of 3 years?
Options:
A)71534.84
B)71534.48
C)71538.44
D)71543.84
E)71548.34
Rationale: P = Rs. 50000; R = 12% p.a. = 1% per month; T = 3 years = 36 months
Amount = [50000 * (1 + 1/100)36]
= (50000 * (1.01)36) = Rs. 71538.44
Answer: C
Answer: C
Question: Calculate the circumference of a circular field whose radius is 4 centimeters.
Options:
A)2
B)4
C)6
D)8
E)10
Rationale: Circumference C is given by
C = 2Ï€r = 2Ï€*4 = 8 Ï€ cm
correct answer D
Answer: D
Question: 210 school students were asked in a survey if they preferred Windows or Mac brand computers. 60 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 90 of the students had no preference. How many of the students in the survey preferred Windows to Mac brand computers?
Options:
A)25
B)40
C)50
D)60
E)75
Rationale: We are told that60 Students claimed that they preferred Mac to Windows, which means that 60 preferred Mac but NOT Windows, so # of students who preferred Mac (P(A) as you wrote), does not equal to 60, it equals to 60+20 (20 is # of students who equally preferred both brands). Also we are asked to find # of the students who preferred Windows to Mac, so if you denote x as those who prefer Windows then you should calculate x-20.
So, if we use your formula it should be: 210={Mac}+{Windows}-{Both}+{Neither}=(60+20)+x-20+90 --> x=60 (# of student who prefer Windows) --> # of the students who preferred Windows to Mac is x-20=40.
Answer: B
Question: A rectangular lawn 55m by 35m has two roads each 4m wide running in the middle of it. One parallel to the length and the other parallel to breadth. The cost of graveling the roads at 75 paise per sq meter is
Options:
A)378
B)278
C)258
D)287
E)271
Rationale: Explanation:
area of cross roads = 55*4 + 35*4 - 4*4 = 344sq m
cost of graveling = 344 * (75/100) = Rs. 258
Answer: C) rs.258
Answer: C
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Options:
A)67 sec
B)89 sec
C)36 sec
D)87 sec
E)45 sec
Rationale: Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 240 + 120 = 360 m.
Time taken = 360/10
=36 sec.
Answer: C
Answer: C
Question: Two persons start at the same point, walk in opposite directions with 5 km/hr and 5.5 km/hr respectively.
What is the distance separated after 2 and half hrs?
Options:
A)26.250 km
B)27.250 km
C)28.250 km
D)29.250 km
E)25.250 km
Rationale: As the two persons are moving in the opposite direction, so they will be separateed in 1 hour = 5 + 5.5 = 10.5 km.
They will be separated in 2.5 hours = 10.5 * 2.5 = 26.250 km
ANSWER:A
Answer: A
Question: 8 couples (husband and wife) attend a dance show "Nach Baliye' in a popular TV channel ; A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is atleast one couple will be selected is ?
Options:
A)8/39
B)15/39
C)12/13
D)11/13
E)None of these
Rationale: P( selecting atleast one couple) = 1 - P(selecting none of the couples for the prize)
= 1 - [16C1x14C1x12C1x10C1/16C4] = 15/39
Answer is B
Answer: B
Question: 38, 52, 22,79, 31,47, 13, 82
Which of the following numbers is greater than three-fourth of the numbers but less than one-fourth of the numbers in the list above?
Options:
A)a- 56
B)b- 65.5
C)c- 69
D)d- 71
E)e- 73
Rationale: Important:- Arrange the numbers in ascending order first.
13, 22, 31, 38, 47, 52, 79, 82
3/4th of the number list represents- 52 (6th number)
remaining 1/4th list represents 79 (7 th number)
65.5 fits in between above 2
Answer:- B
Answer: B
Question: The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:
Options:
A)2520
B)2420
C)2320
D)2620
E)2760
Rationale: We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.
Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) = 2520 sq.m
Answer: A
Answer: A
Question: A bat is bought for Rs.400 and sold at a gain of 40% find its selling price
Options:
A)A)Rs.560/-
B)B)Rs.470/-
C)C)Rs.480/-
D)D)Rs.500/-
E)E)Rs.520/-
Rationale: 100 % ------> 400 (100 * 4 = 400)
140 % ------> 560 (140 * 4 = 560)
Selling price = Rs.560/-
Answer : A
Answer: A
Question: The angles of a triangle are in the ratio 4:3:8. Find the measurement of the largest of three angles of triangle.
Options:
A)96°
B)100°
C)120°
D)140°
E)160°
Rationale: If the ratio of the three angles is 4:3:8, then the measures of these angles can be written as 4x, 3x and 8x. Also the sum of the three interior angles of a triangle is equal to 180°. Hence
4x + 3x + 8x = 180
Solve for x
15x = 180
x = 12
The measures of the three angles are
4x = 4 x 12° = 48
3x = 3 × 12 = 36°
8x = 8 × 12 = 96°
A
Answer: A
Question: In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?
Options:
A)41
B)30
C)35
D)48
E)49
Rationale: B
30
There is a meal for 200 children.
150 children have taken the meal.
Remaining meal is to be catered to 50 children.
Now, 200 children 120 men.
50 children = (120/200)x 50 = 30 men.
Answer: B
Question: If m, p, and t are distinct positive prime numbers, then (m^3)(p)(t) has how many different positive factors greater than 1?
Options:
A)8
B)9
C)12
D)15
E)27
Rationale: umber of factors of (2^a)*(3^b)*(5^c) ... = (a+1)(b+1)(c+1) ...
If m, p and t are the distinct prime numbers, then the number is already represented in its prime factorization form
Number of factors = (3+1)(1+1)(1+1) = 16
Out of these, one factor would be 1.
Hence different positive factors greater than 1 = 15
Correct Option: D
Answer: D
Question: In a certain neighborhood, there are half as many beige houses as white houses, and 3 times as many white houses as brown houses. What is the ratio of the number of brown houses to the number of beige houses?
Options:
A)4:1
B)3:5
C)2:3
D)1:3
E)1:4
Rationale: The ratio of beige:white:brown = 3:6:2
The answer is C.
Answer: C
Question: S = { 1,2,4,5,6}
T = { 4,5,6,8,12,10,7,14 }
what is the probability that x chosen from S and y chosen from T will result x*y = odd
Options:
A)1/3
B)21/32
C)20/11
D)58/20
E)11/20
Rationale: p: the probability that x*y is even, then p=1-p(x*y is odd)
p(x*y even)=p(x even)*p(y even)=3/5*6/8=9/20
And p=1-9/20=11/20
Option: E
Answer: E
Question: David purchased a Motor Bike and a mobile phone for Rs. 40000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 10 percent and the mobile phone at a profit of 10 percent. Overall he make a.
Options:
A)loss of Rs. 200
B)loss of Rs. 3200
C)profit of Rs. 100
D)profit of Rs. 200
E)None of these
Rationale: Total C.P. = 40000+8000 = 48000
S.P. of motor bike = 40000/100*90= 36000
S.P. of Mobile = 8000/100*110 = 8800
Total S.P. = 36000 + 8800 = 44800
Tota. C.P. - Total S.P. = 48000 - 44800 = 3200
Answer : B
Answer: B
Question: On the number line, the number p is twice as many units from -2 as -2 is from 2. If p is less than –2, what is the value of p ?
Options:
A)–18
B)–10
C)–6
D)10
E)14
Rationale: Distance between -2 and 2 = 4
Since number p is twice as many units from -2 as -2 is from 2
, therefore p can be -10 Since , p is less than -2 ,
the value of p = -10
Answer B
Answer: B
Question: Bob invested $2000 in fund A and $2000 in fund B. Over the next two years, the money in Fund A earned an annual interest of 30 percent for the two years and the money in fund B earned 30 percent annual interest compounded annually. Two years after bob made these investments. Bob's investment in fund B was worth how much more than his investment in fund A?
Options:
A)1. $180
B)2. $550
C)3. $300
D)4. $200
E)5. $220
Rationale: interest on fund A will be 1200. rate of interest will be 30% per annum simple interest as 60% is for 2 year. this will make investment A 3200 at the end of 2nd year.
interest on fund B will be 1380 on 30% interest compounded annually. This will make investment B 3380 at the end of 2nd year.
Difference in investment A and investment B=3380-3200=180
answer is A.
Answer: A
Question: A, B and C have Rs.450 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
Options:
A)A)100
B)B)110
C)C)120
D)D)130
E)E)140
Rationale: A+B+C = 450
A+C = 200
B+C = 350
--------------
A+B+2C = 550
A+B+C = 450
----------------
C = 100
Answer:A
Answer: A
Question: A can do a work in 14 days and working together A and B can do the same work in 10 days. In what time can B alone do the work?
Options:
A)35 days
B)25 days
C)30 days
D)27 days
E)23 days
Rationale: Work done by B in 1 day = 1/10 - 1/14 = (7-5)/70
=2/70=1/35
So, B alone can do the work in 35 days.
ANSWER:A
Answer: A
Question: M is the sum of the reciprocals of the consecutive integers from 101 to 200, inclusive. Which of the following is true?
Options:
A)1/3 < M < 1/2
B)1/5 < M < 1/3
C)1/2 < M < 1
D)1/9 < M < 1/7
E)1/12 < M < 1/9
Rationale: M = 1/101 + 1/102 + 1/103 + ...... + 1/200
If we replace the first 99 terms by 1/200, then we get a sum = 100/200 = 1/2. Since the actual terms are larger than 1/200, the sum is larger than 1/2.
If we replace the all the 100 terms by 1/100, we get a sum = 100/100 = 1. Since the actual terms are smaller than 1/100, the sum is less than 1.
Therefore 1/2 < M < 1
Choice C
Answer: C
Question: At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
Options:
A)6%
B)2%
C)4%
D)5%
E)3%
Rationale: 150 = (750*5*R)/100
R = 4%
Answer: C
Answer: C
Question: The average (arithmetic mean) of four numbers is 7x + 5. If one of the numbers is x, what is the average of the other three numbers?
Options:
A)x + 1
B)3x + 3
C)9x + 20/3
D)5x + 4
E)15x + 12
Rationale: If the average of four numbers is 7x + 5, then the sum of all four numbers if 4 * (7x + 5) = 28x + 20. If one of the numbers is x, then the average of the remaining three numbers would be: (28x + 20 - x)/3 = (27x + 20)/3 = 9x + 20/3.
Answer is C.
Answer: C
Question: A train running at the speed of 90 km/hr crosses a pole in 15 seconds. What is the length of the train?
Options:
A)325
B)350
C)375
D)400
E)425
Rationale: Speed=(90 x(5/18)m/sec	=(25)m/sec.
Length of the train = (Speed x Time).
Length of the train =	((25)x 15)m = 375 m
C
Answer: C
Question: Of 60 children, 30 are happy, 10 are sad, and 20 are neither happy nor sad. There are 16 boys and 44 girls. If there are 6 happy boys and 4 sad girls, how many boys are neither happy nor sad?
Options:
A)2
B)4
C)6
D)8
E)10
Rationale: Venn diagrams are useful for multiple values of a single variable e.g. State of mind - happy/sad/neither. When you have two or more variables such as here where you have gender - boy/girl too, it becomes unwieldy. In this case, either use the table or logic.
Table method is shown above; here is how you will use logic:
There are 6 happy boys.
There are 4 sad girls but total 10 sad children. So rest 6 sad children must be sad boys.
We have 6 happy boys and 6 sad boys. Total we have 16 boys. So 16 - 6 - 6 = 4 boys must be neither happy nor sad.
Answer (B)
Answer: B