divelab/Sys2Bench huggingface dataset:
Question: Dick and Jane each saved $3,000 in 1989. In 1990 Dick saved 8 percent more than in 1989, and together he and Jane saved a total of $5,000. Approximately what percent less did Jane save in 1990 than in 1989?
Options:
A)8%
B)25%
C)41%
D)59%
E)70%
Rationale: Dick saved = $ 3240
Jane saved = $ 1760 (jane saved $1240 less than she did the prior year)
Jane saved approximately $1240/$3000 (close to 41%) less in 1990
Answer: C
Answer: C
Question: A candidate got 10% of the votes polled and he lost to his rival by 16000 votes. How many votes were cast?
Options:
A)7500
B)20000
C)2775
D)5496
E)6851
Rationale: 10%-----------L
90%-----------W
------------------
80%----------16000
100%---------? => 20000
Answer:B
Answer: B
Question: In a certain pond, 80 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
Options:
A)400
B)625
C)1,250
D)2,000
E)10,000
Rationale: This is a rather straight forward ratio problem.
1. 80 fish tagged
2. 2 out of the 50 fish caught were tagged thus 2/50
2/50=80/x
thus, x=2000
Think of the analogy: 2 fish is to 50 Fish as 50 fish is to ...?
You've tagged 50 fish and you need to find what that comprises as a percentage of the total fish population - we have that information with the ratio of the second catch.
D
Answer: D
Question: The second of two numbers is two less than three times the first. Find the numbers if there sum is
42.
Options:
A)7-19
B)8-20
C)10-16
D)11-31
E)20-6
Rationale: We are looking for two numbers.
#1 - x
#2 - 3x â€“ 2
The sum is 42. #1 + #2 = 42
Substituting x + 3x â€“ 2 = 42
4x â€“ 2 = 42
4x = 44
x = 11
The first number is 11, the second number is two less than three times 11 or 31.
correct answer D
Answer: D
Question: O(x) represents the least odd integer greater than x, whereas o(x) represents the greatest odd integer less than x. Likewise, E(x) represents the least even integer greater than x, whereas e(x) represents the greatest even integer less than x. According to these definitions, the value of O(8.3) + E(–8.7) + o(–7.3) + e(6.6) is:
Options:
A)-2
B)-1
C)0
D)1
E)2
Rationale: O(8.3) + E(–8.7) + o(–7.3) + e(6.6) = 9 + (-8) + (-9) + 6 = -2
The answer is A.
Answer: A
Question: Two hoses are pouring water into an empty pool. Hose 1 alone would fill up the pool in 6 hours. Hose 2 alone would fill up the pool in 8 hours. How long would it take for both hoses to fill up two-thirds of the pool?
Options:
A)5/12 hours
B)5/8 hours
C)8/5 hours
D)16/7 hours
E)12/5 hours
Rationale: Hose 1 would fill the pool alone in 6 hours
i.e. 1 Hour work of Hose 1 = 1/6
Hose 2 would fill the pool alone in 8 hours
i.e. 1 Hour work of Hose 2 = 1/8
i.e. 1 Hour work of Hose1 and Hose2 together = (1/6)+(1/8) = (7/24)
i.e. (7/24) work can be finished by Hose1 and Hose2 together in 1 hour
i.e. (2/3) work can be finished by Hose1 and Hose2 together in 1*(24/7)*(2/3) = 16/7 hour
Answer: Option D
Answer: D
Question: A room is 20 meters long, 15 meters wide 10 meters in height. The longest possible rod which can be placed in the room is
Options:
A)25.93 meters
B)26.93 meters
C)24.93 meters
D)24.5 meters
E)24.75 meters
Rationale: Square root of 20^2+15^2+10^2...(Diognal) which is square root of 725 that lies 26<√725<27. Hence the answer should be B
Answer: B
Question: Find the odd man out. 49, 65, 81, 144, 169, 225, 441
Options:
A)49
B)65
C)81
D)144
E)169
Rationale: Explanation :
Each of the given numbers except 65 is a perfect square
Answer : Option B
Answer: B
Question: Three bells commence tolling together and toll at intervals of 1, 3 and 5 seconds respectively. In 10 minutes, how many times do they toll together ?
Options:
A)39
B)40
C)41
D)42
E)43
Rationale: LCM of 1, 3 and 5 is 15.
So, after each 15 seconds, they would toll together.
Hence, in 10 minutes, they would toll 10*60 seconds / 15 seconds = 40 times
But then the question says they commence tolling together. So, they basically also toll at thebeginning(0second).
So, total tolls together = 40+1 = 41
Answer C
Answer: C
Question: The true-discount on Rs.2480 due after a certain period at 5% is Rs.80. Find the
due period.
Options:
A)6months
B)5months
C)8months
D)3months
E)None of these
Rationale: Explanation:
P.W= Amount – (T.D)
Time = 100xTD/PWx R
Answer: C
Answer: C
Question: In the coordinate plane a slope of the line K is 4 times the x-intercept of the line K. What is the y-intercept of the line K?
Options:
A)-4
B)4
C)-1/4
D)1/4
E)2
Rationale: As 4y=mx+c, from 4y=0m+m we get y=1/4. Hence, the correct answer choice is D.
Answer: D
Question: If a certain number X is divided by 82, the reminder is 5. what is the reminder when X+7 is divided by 41?
Options:
A)12
B)5
C)6
D)16
E)18
Rationale: X can be written as 82K + 5 or X = 5,87,169,etc. when K =0,1,2 etc
X + 7 = 82K + 5+7= 82K +12 or X +7 = 12,94, 176 etc. k=0,1,2
When divided by 41, we will get the remainder 12.
A
Answer: A
Question: David invested certain amount in three different schemes A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the the total interest accrued in one year was 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B, what was the amount invested in Scheme B?
Options:
A)5000
B)6500
C)8000
D)cannot be determined
E)None of these
Rationale: Let x, y and z be the amounts invested in schemes A, B and C respectively. Then,
(x×10×1/100)+(y×12×1/100)+(z×15×1/100)=3200
⇒ 10x + 12y + 15z = 320000 ..... (i)
Now, z = 240% of y = 12⁄5y..... (ii)
And, z = 150% of x = 3⁄2x
⇒ x = 2⁄3z = (2⁄3 × 12⁄5)y = 8⁄5y......(iii)
From (i),(ii) and (iii), we have :
16y + 12y + 36y = 320000 ⇒ 64y = 320000 ⇒ y = 5000.
∴ Sum invested in Scheme B = 5000.
Answer A
Answer: A
Question: A train 240 m long, running with a speed of 108 km/hr will pass a tree in?
Options:
A)8 sec
B)16 sec
C)18 sec
D)14 sec
E)12 sec
Rationale: Speed = 108 * 5/18
= 30 m/sec
Time taken = 240 * 1/30
= 8 sec
Answer: A
Answer: A
Question: A box contains 15 items. Six of the items are Pen, five are pencil, and five are eraser. If two items are randomly selected from the box, one after the other, what is the probability that both will be pen?
Options:
A)1/11
B)1/9
C)1/3
D)1/7
E)8/9
Rationale: Probability of getting the first pen - 6/15
Probability of getting the second pen - 5/14
total probability = 6/15*5/14 = 1/7
correct option D
Answer: D
Question: When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 8, the quotient is 3y and the remainder is 3. What is the value of 13y – x ?
Options:
A)1
B)0
C)-1
D)-2
E)-4
Rationale: (1) x = 11y + 4
(2) 2x = 24y + 3
Let's subtract equation (1) from equation (2).
13y - 1 = x
13y - x = 1
The answer is A.
Answer: A
Question: The radius of a semi circle is 6.3 cm then its perimeter is?
Options:
A)32.9
B)32.4
C)32.2
D)32.1
E)32.7
Rationale: 36/7
r = 6.3 = 32.4
Answer:B
Answer: B
Question: Which of the following fractions is greater than 23/50?
Options:
A)2/5
B)11/34
C)43/99
D)16/34
E)9/20
Rationale: Answer D
23/50=0.46
16/34=0.470 which is 0.01 greater than 0.46
Answer: D
Question: A, B and C started a partnership business by investing Rs.30000, Rs.45000, Rs.50000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?
Options:
A)70000
B)60000
C)80000
D)90000
E)50000
Rationale: A:B:C =30000:45000:50000
=6:9:10
Let total profit =p
Then pÃ—10/25=36000
p=(36000Ã—25)/10=90000
Answer is D.
Answer: D
Question: What is the value of √16% ?
Options:
A)20%
B)30%
C)40%
D)50%
E)60%
Rationale: Explanation: br>√16%
=√14/√100
=4/10
=40/100=40%
correct answer is C)40%
Answer: C
Question: If 'a' is a positive integer exactly divisible by 3 or 5 but not divisible by 6.What could possibly be the value of 'a' ?
Options:
A)60
B)30
C)18
D)27
E)15
Rationale: 60 and 30 are both divisible by 3 and 5 but also by 6. so they are not the right answer.
18 and 27 are both clearly not divisible by 5(not correct)
15 is both divisible by 3 and 5 but not by 6.
answer : (E) 15
Answer: E
Question: A sum of money lent out at S.I. amounts to a total of $600 after 2 years and to $850 after a further period of 5 years. What was the initial sum of money that was invested?
Options:
A)$500
B)$520
C)$540
D)$560
E)$580
Rationale: S.I for 5 years = $850 - $600 = $250
The S.I. is $50/year
S.I. for 2 years = $100
Principal = $600 - $100 = $500
The answer is A.
Answer: A
Question: A bike covers a certain distance at the speed of 68km/h in 8 hrs. If the bike was to cover the same distance in approximately 6 hrs, at what approximate speed should the bike travel?
Options:
A)85 km/h
B)85.34 km/h
C)87.67 km/h
D)90.66 km/h
E)90.64 km/h
Rationale: Ans.(D)
Sol. Total distance = 68 × 8 = 544 km
Now speed = 544/6 = 90.66 km/h
Answer: D
Question: A company that ships boxes to a total of 12 sales centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? (assume that the order of the colors in a pair does not matter)
Options:
A)5
B)6
C)7
D)8
E)9
Rationale: Back-solving is the best way to solve this problem.
You basically need 12 combinations (including single colors)
If we start from option 1->
1=> 4C2 + 4 = 10 (Not enough)
2=> 5C2 + 5 = 15 (Enough)
Since the minimum number is asked. It should be 5.
Answer - A
Answer: A
Question: Ratio and proportion
215:474::537:?
Options:
A)26
B)27
C)25
D)22
E)23
Rationale: 2+1+5+4+7+4 =23
5+3+7+x=23
=> x=8
combination that match 8 is 26 since 2+6=8
ANSWER:A
Answer: A
Question: If 75 percent of a class answered the first question on a certain test correctly, 65 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
Options:
A)10%
B)(8) 20%
C)30%
D)60%
E)65%
Rationale: I didn't understand how to connect 20 percent with the whole equation.
Why 20 is out of the percentile diagram (circles) but inside of 100?
20% appeared in the exam; however did not answer Question AQuestion B correctly
So they are out of the two circles, however as they have appeared in the exam, they have to be taken into consideration for calculation purpose
I am doing it this way:
Suppose the total class size is 100, then 20 percent of the class answered incorrectly and rest 80 percent answered correctly in question 1 or 2 or both.
Now,
100 - [(75 - x) + x + (65 - x)] = 20 .......... values are in percent
x = 20 - 100 + 140
x = 60
Ans: D
Answer: D
Question: Two friends phil and andrew started running simultaneously from a point P in the same direction along a straight running track. The ratio of speeds of phil and andrew was 2:5. Two hours later, andrew turned back and started running running backwards at one-fifth of his original speed. He met phil at a distance of 10 km from the point P. what was phil's running speed ?
Options:
A)1.25 km/hr
B)2.25 km/hr
C)2.5 km/hr
D)3.75 km/hr
E)6.25 km/hr
Rationale: let speed of Phil was 2x and that of Andrew was 5x.
They move in same direction. relative speed = 3x.
In two hours distance between two = 3x * 2 = 6x.
Now Andrew turns back. His speed is now x.
Now both runners will have a relative speed : 2x+x = 3x.
The two runners will meet, when the distance between them = 6x is exhausted.
this will be done in 2 hours.
Now in initial 2 hours + these 2 hours Phil ran:
2x * 4 hours = 8x distance
8x = 10
x = 10/8 = 1.25.
Phil's speed = 2x = 2.5.
C is the answer.
Answer: C
Question: Ana is a girl and has the same number of brothers as sisters. Andrew is a boy and has twice as many sisters as brothers. Ana and Andrew are the children of Emma. How many children does Emma have?
Options:
A)2
B)3
C)5
D)7
E)8
Rationale: no of girls X
no of boys Y
x-1 = y
y-1 = 2x
multiple first with 2
2x-2= 2y
y-1 -2 = 2y => y=3 ignore sign
put in 1 x= 4
total 7
ANSWER:D
Answer: D
Question: The G.C.D of 1.08, 0.36 and 1.2 is
Options:
A)0.19
B)0.1
C)0.18
D)0.11
E)0.12
Rationale: Explanation:
Given numbers are 1.08 , 0.36 and 1.2
H.C.F of 108, 36 and 120 is 12 [because G.C.D is nothing but H.C.F]
therefore H.C.F of given numbers = 0.12
Answer: E
Answer: E
Question: A, B and C have a few coins with them. 7 times the number of coins that A has is equal to 5 times the number of coins B has while 6 times the number of coins B has is equal to 11 times the number of coins C has. What is the minimum number of coins with A, B and C put together?
Options:
A)110
B)127
C)154
D)165
E)145
Rationale: DETAILED SOLUTION
Given, 7A = 5B
42A = 30B
Also given 6B = 11C
30B = 55C
Therefore 42A = 30B = 55C
Let 42A = 30B = 55C = k
Rewriting, A/55 = B/30 = C/42
The least possible integral values for A, B, C will be A = 42; B = 30 and C = 55
Total = 42 + 30 + 55 = 127
Correct Answer: B
Answer: B
Question: If a certain toy store's revenue in November was 4/5 of its revenue in December and its revenue in January was 3/4 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
Options:
A) 1/4
B) 1/2
C) 2/3
D) 2
E) 4
Rationale: Let Dec rev =100
Then Nov rev is 4/5 (100) => 80
Therefore Jan rev = 3/4(Nov rev) = 3/4(80) => 60
Hence Dec rev = x*( Nov rev+Jan rev)/2
100 = x* (80+60)/2
x = 100/70 => 1.42=2
Ans) D
Answer: D
Question: In a 4 person race, medals are awarded to the fastest 3 runners. The first-place runner receives a gold medal, the second-place runner receives a silver medal, and the third-place runner receives a bronze medal. In the event of a tie, the tied runners receive the same color medal. (For example, if there is a two-way tie for first-place, the top two runners receive gold medals, the next-fastest runner receives a silver medal, and no bronze medal is awarded). Assuming that exactly three medals are awarded, and that the three medal winners stand together with their medals to form a victory circle, how many X different victory circles are possible?
Options:
A)24
B)52
C)96
D)144
E)648
Rationale: Possible scenarios are:
1. Gold/Silver/Bronze/No medal (no ties) - 4!=24;
2. Gold/Gold/Silver/No medal - 4!/2!=12;
3. Gold/Silver/Silver/No medal - 4!/2!=12;
4. Gold/Gold/Gold/No medal - 4!/3!=4.
Total X: 24+12+12+4=52
Answer: B.
Answer: B
Question: For the positive integers x, x + 2, x + 4, x + 7, and x + 32, the mean is how much greater than the median?
Options:
A)0
B)1
C)2
D)4
E)5
Rationale: Mean = (x + x+2 + x+4 + x+7 + x+32)/5
=(5x+45)/5
=x+9
Median = x+4
Thus Mean - Median = x+9 - (x+4)
=5
Answer = E
Answer: E
Question: In right triangle ABC, AC is the hypotenuse. If AC is 10 and AB + BC = 20, what is the area of the triangle ABC?
Options:
A)225
B)450
C)75
D)200
E)200√2
Rationale: Square AB + BC = 20:
(AB)^2 + 2*AB*BC + (BC)^2 = 400. Since (AC)^2 = (AB)^2 + (BC)^2 = 10^2 = 100, then (AB)^2 + 2*AB*BC + (BC)^2 = 100 + 2*AB*BC = 400.
100 + 2*AB*BC = 400.
AB*BC = 150.
The area = 1/2*AB*BC = 75.
Answer: C.
Answer: C
Question: Car A runs at the speed of 50 km/hr and reaches its destination in 8 hours. Car B runs at the speed of 60 km/h and reaches its destination in 4 hours. What is the ratio of distances covered by Car A and Car B?
Options:
A)3 : 7
B)4 : 9
C)13 : 7
D)5 : 3
E)6 : 11
Rationale: Car A travels 50 × 8 = 400 km
Car B travels 60 × 4 = 240 km
The ratio is 400 : 240 = 40 : 24 = 5 : 3
The answer is D.
Answer: D
Question: If ‘DELHI’ is coded as ‘15’, ‘RAJASTHAN’ is coded as ’45’, then ‘MUMBAI’ is coded as ?
Options:
A)24
B)21
C)18
D)19
E)None
Rationale: delhi=38->38-8/2=15
rajasthan=92->92-2/2=45
mumbai=59->59-9/2=25
so none
ANSWER:E
Answer: E
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 68 years now, the son's age five years back was?
Options:
A)16 years
B)14 years
C)18 years
D)19 years
E)29 years
Rationale: Let the son's present age be x years.
Then, (68 - x) = x
2x = 68 => x = 34
Son's age 5 years back = (34 - 5)
= 29 years.
Answer: E
Answer: E
Question: If 36 men can do a piece of work in 25 hours, in how many hours will 15 men
do it ?
Options:
A)60 hours
B)50hours
C)65 hours
D)45 hours
E)30 hours
Rationale: Let the required number of hours be x. Then,
Less men, More hours	(Indirect Proportion)
15 : 36 : : 25 : x<=>(15 x x) =(36 x 25)<=>(36 x 25)/15 = 60
Hence, 15 men can do it in 60 hours
Answer is A.
Answer: A
Question: At what time between 2 and 3 o'clock will the hands of a clock be together?
Options:
A)(10 + 10/11) min past 9
B)(10 + 10/11) min past 2
C)(10 + 10/11) min past 3
D)(10 + 10/11) min past 7
E)(10 + 10/11) min past 1
Rationale: Explanation:
At 2 o'clock, the hour hand is at 2 and the minute hand is at 12, i.e. they are 10 min spaces apart.
To be together, the minute hand must gain 10 minutes over the hour hand.
Now, 55 minutes are gained by it in 60 min.
10 minutes will be gained in min. = min.
The hands will coincide at min. past 2.
Answer: B) (10 + 10/11) min past 2
Answer: B
Question: X completes a work in 12 days and Y complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be?
Options:
A)6 days
B)8 days
C)10 days
D)12 days
E)14 days
Rationale: If X can complete a work in x days and Y can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days
Therefore, here, the required number of days = 12 × 24/ 36 = 8 days.
B)
Answer: B
Question: The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
Options:
A)2.3
B)2.6
C)3.6
D)4.5
E)4.6
Rationale: Sum of the remaining two numbers = (3.95 * 6) - [(3.4 * 2) + (3.85 * 2)]
= 23.70 - (6.8 + 7.7) = 23.70 - 14.5 = 9.20.
Required average = (9.2 / 2) = 4.6.
E
Answer: E
Question: A necklace is made by stringing N individual beads together in the repeating pattern blue bead, green bead, white bead, brown bead, and orange bead. If the necklace design begins with a blue bead and ends with a white bead, then N could equal
Options:
A)79
B)76
C)68
D)64
E)72
Rationale: Recognize that we are going to have to look for an answer thats a multiple of 5, plus 3.
Mutliple of 5 because there are 5 beads in the pattern, and plus 3 because the bead ends on white, which is 3 into the pattern.
I just went through all the answer choices, and only E fits. 5x13 = 65, and 65+3=68
Answer : C
Answer: C
Question: An = 2An-1 + 4 and Qn = 4Qn-1 + 8 for all n > 1. If A5 = Q4 and A7 = 316, what is the first value of n for which Qn is an integer?
Options:
A) 1
B) 2
C) 3
D) 4
E) 5
Rationale: Assuming I have understood the symbols used correctly answer is C- 3
A7 = 2S6 +4 = 316
A6 = 312/2 = 156 = 2A5 + 4
A5 = 152/2 = 76 = Q4
Q4 = 4Q3 + 8 = 76
Q3 = 68/4 = 17
Q3 = 4Q2 + 8 = 17
Q2 = 9/4 = 2.25
Q2 = 4Q1 + 8
Q1 will not be integer=C
Answer: C
Question: The number of singles that a baseball player hit increased 12 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 2 percent. If the total number of singles and doubles that she hit increased 2 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season?
Options:
A)1:2
B)2:5
C)1:3
D)2:3
E)3:5
Rationale: Soln:-
1.12S + 0.98D = 1.02[S + d]
0.10S = 0.04D
S/D = 2/5
ANSWER:B
Answer: B
Question: If x/y = 3 and (2a - x)/(3b - y) = 3, then the value of a/b is?
Options:
A) –3
B) 9/2
C) 1
D) 2
E) 3
Rationale: x = 3y
2a - 3y = 3(3b - y)
2a - 3y = 9b - 3y
2a = 9b
a/b = 9/2
Answer: B
Answer: B
Question: If Greg buys 3 shirts, 6 trousers and 4 ties, the total cost is $80. If Greg buys 7 shirts, 2 trousers and 4 ties, the total cost is $80. How much will it cost him to buy 5 trousers, 4 shirts and 4 ties?
Options:
A)$60
B)$64
C)$80
D)$96
E)Cannot be determined
Rationale: Solution: 3x+6y+4z=80 7x+2y+4z=80
adding both the equations= 10x+8y+8z=160
5x+4y+4z=80
ans C
Answer: C
Question: A tradesman by means of his false balance defrauds to the extent of 22%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Options:
A)47
B)46.8
C)48.8
D)49
E)27
Rationale: Explanation:
g% = 22 + 22+ (22*22)/100
= 48.8%
Answer: C
Answer: C
Question: Jack got paid today for his part-time job as a juggler, and noticed that 20% of his paycheck went to taxes. Jack wants to spend 80% of what's left on a new bike, and put the rest into savings. If Jack puts $20 into savings, how much was his original paycheck before taxes?
Options:
A)$125
B)$135
C)$145
D)$155
E)$165
Rationale: Let P be Jack's original paycheck value. The value after taxes T is given byT = P - 20%PLet S be the amount put into savings, given byS = T - 80%Tfor S = $20, solve for P$20 = (P - 20%P) - 80%(P - 20%P)P = $125Correct answer A
Answer: A
Question: In the number 11,0AB, A and B represent the tens and units digits, respectively. If 11,0AB is divisible by 45, what is the greatest possible value of B × A?
Options:
A)0
B)5
C)10
D)15
E)25
Rationale: You should notice that 55*2=110 so 11,000 is divisible by 55: 55*200=11,000 (or you can notice that 11,000 is obviously divisible by both 5 and 11 so by 55) --> B*A=0*0=0. Next number divisible by 55 is 11,000+55=11,055: B*A=5*3=15 (next number won't have 110 as the first 3 digits so we have only two options 0 and 25).
Answer: D.
!
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D
Answer: D
Question: The average of first ten prime numbers which are odd is?
Options:
A)15.6
B)15.1
C)15.9
D)15.8
E)15.3
Rationale: Sum of first 10 prime no. which are odd
= 158
Average = 158/10
= 15.8
Answer:D
Answer: D
Question: The duplicate ratio of 3:4 is?
Options:
A)1:2
B)1:4
C)1:8
D)9:16
E)1:13
Rationale: 3^2: 4^2 = 9:16
ANSWER:D
Answer: D
Question: Find the value of 3 + 2 â€¢ (5 â€“ 3)
Options:
A)25
B)13
C)7
D)24
E)15
Rationale: 3 + 2 â€¢ (5 â€“ 3)
= 3 + 2 (2)
= 3 + 2 *2
= 3 + 4
= 7
correct answer C
Answer: C
Question: The charge for a single room at Hotel P is 25 percent less than the charge for a single room at Hotel R and 20 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G ?
Options:
A)15%
B)20%
C)40%
D)50%
E)6%
Rationale: Let rate in R = 100x
then P = 75x
G = 100y
P = 80y
Thus
75 x=80y
or x = 1.06 y
Ans R = 106y
so increase = 6%
Answer: E
Answer: E
Question: If you are rolling 2 dice, what is the probability of rolling a 11?
Options:
A)1/2
B)4/15
C)5/18
D)2/3
E)1/6
Rationale: The answer would be 5/18, as there are 10/36 ways to get 11. Answer: C
Answer: C
Question: An electric motor makes 3,000 revolutions per minutes. How many degrees does it rotate in one second?
Options:
A)18.000 d/sec
B)28.000 d/sec
C)38.000 d/sec
D)26.000 d/sec
E)35.000 d/sec
Rationale: 3000 revolutions / minute
= 3000*360 degrees / 60 seconds
= 18,000 degrees / second
Answer: A
Question: If $5,000,000 is the initial amount placed in an account that collects 7% annual interest, which of the following compounding rates would produce the largest total amount after two years?
Options:
A)compounding annually
B)compounding quarterly
C)compounding monthly
D)compounding daily
E)All four of these would produce the same total
Rationale: This will produce the maximum yield as the interest accrued each day will be added the very next day to the Principal amount for further computation of interest.
This process will be repeated every day till the amount matures
Compounding annually will give least returns
Compounding daily :Answer: D
Answer: D