divelab/Sys2Bench huggingface dataset:
Question: John and Ingrid pay 30% and 40% tax annually, respectively. If John makes $56000 and Ingrid makes $72000, what is their combined tax rate?
Options:
A)32%
B)34.4%
C)35%
D)35.6%
E)36.4%
Rationale: (1) When 30 and 40 has equal weight or weight = 1/2, the answer would be 35.
(2) When 40 has larger weight than 30, the answer would be in between 35 and 40. Unfortunately, we have 2 answer choices D and E that fit that condition so we need to narrow down our range.
(3) Get 72000/128000 = 72/128 = 9/16. 9/16 is a little above 8/16 = 1/2. Thus, our answer is just a little above 35.
Answer: D
Answer: D
Question: George owns twelve audio compact discs. If he takes two of them to play on an upcoming car trip, how many different pairs of compact discs could he choose?
Options:
A)144
B)132
C)72
D)66
E)36
Rationale: C212=66
Answer: D.
Answer: D
Question: The length of the bridge, which a train 250 metres long and travelling at 72 km/hr can cross in 30 seconds, is:
Options:
A)200 m
B)225 m
C)245 m
D)350 m
E)240 m
Rationale: Speed = [72 X 5/18] m/sec = 20 m/sec
Time = 30 sec
Let the length of bridge be x metres.
Then, (250 + x)/30 = 20 => 250 + x= 600 => x = 350 m.
ANSWER:D
Answer: D
Question: An inspector rejects 0.0000008% of the meters as defective. How many will be examine to project ?
Options:
A)2000
B)230000000
C)2700
D)250000000
E)250
Rationale: Let the number of meters to be examined be x.
Then, 0.0000008% of x =2
[(8/10000000)*(1/100)*x] = 2
x = [(2*10000000*100)/8] = 250000000
Answer is D.
Answer: D
Question: Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Options:
A)22 sec
B)88 sec
C)99 sec
D)20 sec
E)17 sec
Rationale: Relative speed = (42 + 30) * 5/18 = 4 * 5 = 20 mps.
Distance covered in passing each other = 120 + 280 = 400 m.
The time required = d/s = 400/20 = 20 sec.Answer: D
Answer: D
Question: A company gives bonus to retailer annually for a set target. This year the retailer has reached 1/4 of his target. If this year his target is increased to 20% from last year, how much target percentage of last year's target he should reach in order to get the bonus.
Options:
A)5/20
B)19/20
C)6/5
D)10/24
E)2/3
Rationale: Given 1/4 and 20% that is 1/5
Let the target of last year be 20
This year's target is 20% more of last year= 24
Target already reached is 1/4 *20=5
Remaining is 24-5=19
Required 19/20
Answer is (B)
Answer: B
Question: Rs. 900 becomes Rs. 956 in 3 years at a certain rate of simple interest.If the rate of interest is increased by 4% ,What amount will Rs. 900 become in 3 years ?
Options:
A)Rs. 1020.80
B)Rs. 1025
C)Rs. 1064
D)Data inadequate
E)None of these
Rationale: Solution
S.I. = Rs.(956-900 )=Rs.56
Rate = (100x56/900x3) = 56/27%
New rate = (56/27 +4)% = 164/27%
New S.I. = Rs.(900 x 164/27 x 3/100) Rs. 164.
∴ New amount = Rs.(900+164)= Rs. 1064.
Answer C
Answer: C
Question: Replace X with the appropriate number in
2 , 4 , 6 , 30 , 32 , 34 , X
Options:
A)38
B)8
C)5
D)36
E)37
Rationale: D
list of consecutive numbers that does not contain a 'e' in the spelling
Answer: D
Question: A train 190 m long passed a pole in 10 sec. How long will it take to pass a platform 1200 m long?
Options:
A)80
B)73
C)78
D)67
E)56
Rationale: Speed = 190/10 = 19 m/sec.
Required time = (190 + 1200)/19 = 73 sec.
Answer: Option B
Answer: B
Question: A person walks from one end to the other of a 60-meter long moving walkway at a constant rate in 30 seconds, assisted by the walkway. When this person reaches the end, they reverse direction and continue walking with the same speed, but this time it takes 120 seconds because the person is traveling against the direction of the moving walkway. If the walkway were to stop moving, how many seconds would it take this person to walk from one end of the walkway to the other?
Options:
A)48
B)60
C)72
D)84
E)96
Rationale: Let v be the speed of the person and let x be the speed of the walkway.
30(v+x)=60 then 120(v+x)=240
120(v-x)=60
When we add the two equations:
240v=300
v=5/4
time = 60 / (5/4) = 48 seconds
The answer is A.
Answer: A
Question: A part of certain sum of money is invested at 9% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
Options:
A)4:8
B)4:1
C)4:3
D)4:2
E)4:7
Rationale: 12:9
= 4:3
Answer: C
Answer: C
Question: Machine P and Machine Q are each used to manufacture 990 sprockets. It takes Machine P 10 hours longer to produce 990 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?
Options:
A)5
B)6
C)7
D)8
E)9
Rationale: P makes x sprockets per hour.
Then Q makes 1.1x sprockets per hour.
990/x = 990/1.1x + 10
1.1(990) = 990 + 11x
11x = 99
x = 9
The answer is E.
Answer: E
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?
Options:
A)Rs. 9423
B)Rs. 10,250
C)Rs. 12,500
D)Rs. 14,000
E)None of these
Rationale: Simran : Nanda = (50000 * 36) : (80000 * 30) = 3:4
Simran's share = 24500 * 3/7 = Rs. 10500
ANSWER:E
Answer: E
Question: The average marks of 30 students in a class is 100. But a student mark is wrongly noted as 70 instead of 10 then find the correct average marks?
Options:
A)A)78
B)B)82
C)C)98
D)D)91
E)E)85
Rationale: correct avg marks = 100+(10-70)/30
avg = 100-2 = 98
Answer is C
Answer: C
Question: 30 liters of a mixture contains milk and water in the ratio 2:1. If 5 liters of this mixture be replaced by 5 liters of milk, the ratio of milk to water in the new mixture would be?
Options:
A)3:2
B)3:1
C)4:1
D)5:2
E)2:1
Rationale: Quantity of milk in 30 liters if mix = 30*2/3 =20 liters
Quantity of milk in 35 liters of new mix = 20+5 = 25 liters
Quantity of water in it = 35-25 = 10 liters
Ratio of milk and water in new mix = 25:10 = 5:2
Answer is D
Answer: D
Question: When 8 fair coins are tossed simultaneously, in how many outcomes will the first and the last coin turn up heads?
Options:
A)1
B)3
C)8
D)31
E)64
Rationale: Total outcome is 2^8 = 256
Favourable cases = H_ _ _ _ _ _ H
The second to seventh places can be occupied by either H or T
There are 2^6 =64 ways that can be done.
Hence, the correct option is E
Answer: E
Question: Find the perimeter and area of a square of side 15 cm.
Options:
A)144
B)169
C)196
D)121
E)225
Rationale: We know that the perimeter of square = 4 Ã— side
Side= 15 cm
Therefore, perimeter = 4 Ã— 15 cm = 60 cm
Now, area of the square = (side Ã— side) sq. units
= 15 Ã— 15 cmÂ²
= 225 cmÂ²
ANSWER : E
Answer: E
Question: At what rate percent on simple interest will Rs.750 amount to Rs.975 in 5 years?
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: 225 = (750*5*R)/100
R = 6%.Answer: E
Answer: E
Question: At the beginning of 1992, Maria's stock portfolio was worth $600,000. During 1992, the portfolio's value increased by 95%. During the next year, the portfolio increased its worth by only 5%. What was Maria's portfolio worth, in dollars, by the end of 1993?
Options:
A)1,180,000
B)1,200,000
C)1,200,300
D)1,228,500
E)1,330,000
Rationale: By the end of 1992, the port folio worth is 1.95 * ($600K)
By 1993, the portfolio is 1.05 * (1.95 * $600K)
=$ 1,228,500
ANSWER:D
Answer: D
Question: If A:B = 1/3: 1/4 B:C = 1/3:1/4 then A:B:C?
Options:
A)1:2:3
B)16:12:9
C)4:12:16
D)9:6:18
E)4:6:8
Rationale: A:B = 1/3:1/4= 4:3
B:C = 1/3:1/4 =4:3
--------------------
A:B:C = 16:12:9
Answer: B
Answer: B
Question: David biked 16 1/3 miles in 2 hours and 20 minutes. What was his average rate of speed in miles per hour?
Options:
A)7
B)7 2/3
C)8 1/3
D)9
E)9 1/3
Rationale: D = 16(1/3) = 49/3
T = 2(1/3) = 7/3
S = D/T = 7
Answer = A
Answer: A
Question: What distance will be covered by a bus moving at 72 kmph in 30 seconds?
Options:
A)238
B)600
C)299
D)277
E)1211
Rationale: 72 kmph = 72 * 5/18 = 20 mps
D = Speed * time = 20 * 30 = 600 m.Answer: B
Answer: B
Question: Which of these numbers is different from the others?
Options:
A)678
B)690
C)696
D)702
E)708
Rationale: All of the numbers are multiples of 6. 702 is the only number that is also a multiple of 9.
Answer: D
Answer: D
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
Options:
A)31/32
B)31/39
C)31/99
D)31/77
E)16/99
Rationale: Let P(T) be the probability of getting least one tail when the coin is tossed five times.
= There is not even a single tail.
i.e. all the outcomes are heads.
= 1/32 ; P(T) = 1 - 1/32 = 31/32
Answer: A
Answer: A
Question: The lenght of a room is 5.5 m and width is 4 m. Find the cost of paving the floor by slabs at the rate of Rs. 850 per sq. metre.
Options:
A)s. 15,550
B)s. 15,600
C)s. 16,500
D)s. 17,600
E)s. 18,700
Rationale: Area of the floor = (5.5 Ã— 4) m2 = 22 m2.
Cost of paving = Rs. (850 Ã— 22) = Rs. 18700
Answer: Option E
Answer: E
Question: A certain culture of bacteria quadruples every hour. If a container with these bacteria was half full at 12:00 a.m., at what time was it one-eighth full?
Options:
A)9:00 a.m.
B)7:00 a.m.
C)6:00 a.m.
D)4:00 a.m.
E)11:00 a.m.
Rationale: To go from one-eighth (1/8) full to half (1/2) full culture of bacteria should quadruple: 1/8*4=1/2, as it quadruples every hour then container was one-eighth full at 12:00 a.m -1 hour = 11:00 a.m.
Answer: E.
Answer: E
Question: In given series 7 8 16 46 107 232 448 only one number is incorrect. Find out that wrong number.
Options:
A)8
B)16
C)46
D)107
E)232
Rationale: (N+1)th term = Nth term +(N)^3
8=7+1^3
16=8+2^3
43= 16+3^3............. so 46 is wrong.
107= 43+4^3
232= 107+5^3
448= 232+6^3
ANSWER:C
Answer: C
Question: If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is?
Options:
A)1:1
B)2:1
C)3:1
D)4:1
E)5:1
Rationale: B
2:1
Let 1 man's 1 day work = x and 1 boy's 1 day work = y.
Then, 12x + 16y = 1/5 and 13x + 24y = 1/4
Solving these two equations, we get:
x = 1/100 and y = 1/200
Required ratio = x:y = 1/100 : 1/200 = 2:1.
Answer: B
Question: A committee of 6 persons is to be formed from 3 company secretaries, 4 economists and 1 chartered accountant. What is the probability that each of the three professions is represented in the committee?
Options:
A)1/28
B)3/28
C)1/14
D)360/14
E)3/14
Rationale: 3/8*4/7*1/6*6! = 3/14. We are multiplying by 6! because we can choose secretary,economist, and accountant is several way:
Answer: D.
Answer: D
Question: If 6 - 12/X = 7 - 7/X, then X =
Options:
A)-5
B)19
C)-7/5
D)1
E)5/6
Rationale: We're given the equation 6 - 12/X = 7 - 7/X. We're asked for the value of X.
The common-denominator of these 4 numbers is X, so we need to multiply both sides of the equation by X, giving us...
6X - 12X/X = 7X - 7X/X
We can then eliminate that denominator, which gives us....
6X - 12 = 7X - 7
-5 = X
A
Answer: A
Question: If y ¤ s = y^(2s) for all positive integers, then (3 ¤ 4) ¤ 2 =
Options:
A)3^8
B)3^12
C)3^16
D)3^24
E)3^32
Rationale: y ¤ s = y^(2s)
3 ¤ 4 = 3^(8)
(3 ¤ 4) ¤ 2 = (3^8) ¤ 2 = (3^8)^4 = 3^32
Correct Option: E
Answer: E
Question: Faiza has 7 purses, she gives 3 purse as gift. Now how many purse did she have ?
Options:
A)2
B)5
C)11
D)9
E)4
Rationale: 7-3=4. Answer is E
Answer: E
Question: If shares of two persons in profits are Rs.400 and Rs.800 then ratio of their capitals is
Options:
A)3:4
B)2:3
C)4:3
D)1:3
E)1:2
Rationale: profit=time*capital
so 400:800=1:2
ANSWER:E
Answer: E
Question: Sam invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?
Options:
A)16537.52
B)16537.29
C)16537.5
D)16537.2
E)16537.11
Rationale: P = Rs. 15000; R = 10% p.a. = 5% per half-year; T = 1 year
= 2 half-year
Amount = [15000 * (1 + 5/100)2]
= (15000 * 21/20 * 21/20)
= Rs.16537.50
Answer:C
Answer: C
Question: A shopkeeper forced to sell at cost price, uses a 750 grams weight for a kilogram. What is his gain percent?
Options:
A)10%
B)9%
C)33.33%
D)12 %
E)None of these
Rationale: Shopkeeper sells 750g instead of 1000g.
So, his gain = 1000 - 750 = 250g.
Thus, %Gain = (250 *100)/750 = 33.33%.
answer : OPTION C
Answer: C
Question: 12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required?
Options:
A)5 days
B)6 days
C)7 days
D)8 days
E)10 days
Rationale: That is, 1 work done = 12 × 8 × 10
Then, 12 8 × 10 = ? × 15 × 8
? (i.e. No. of men required) = 12 × 8 × 10/15× 10 = 8 days
D)
Answer: D
Question: A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Options:
A)90
B)10
C)20
D)50
E)80
Rationale: Explanation:
Let number of notes of each denomination be x.
Then x + 5x + 10x = 480
16x = 480
x = 30.
Hence, total number of notes = 3x = 90.
Answer is A
Answer: A
Question: A passenger sitting near the window in a train moving at 30 km/h, noticed that it took 3 sec. for the oncoming train to pass by. What was the speed of the oncoming train if the length of the oncoming train was 75 metres?
Options:
A)a)50km/h
B)b)52km/h
C)c)56km/h
D)d)60km/h
E)e)70km/h
Rationale: im getting A
3 secs to pass a 75 mts train , therefore speed = 25 meters/sec
to convert m/s to km/hrs multiply by 3.6
25*3.6 = 90
so its 90-30 = 60 .
D
Answer: D
Question: 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Options:
A)41
B)45
C)42
D)14
E)15
Rationale: x/7 = y/9 => x:y = 7:9
7/16 * 96 = 42
Answer: C
Answer: C
Question: Solve the given two equations and find the inequality of X and Y. (a) 2x^2 + 11x + 14 = 0 and (b) 4y^2 + 12y +9 =0
Options:
A)If x>y
B)If x>=y
C)If x < y
D)If x<=y
E)x=y or relationship cannot be established
Rationale: Solution:-
X=-7/2 or -2
Y=-3/2
If x<y
C)
Answer: C
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 2%. What is the cost price?
Options:
A)s.1000
B)s.1009
C)s.1166.7
D)s.1006
E)s.1002
Rationale: Explanation:
90%
102%
--------
12% ---- 140
100% ---- ? => Rs.1166.7
Answer:C
Answer: C
Question: If Tim had lunch at $60.50 and he gave 20% tip, how much did he spend?
Options:
A)A)$57.45
B)B)$35.42
C)C)$60.60
D)D)$21.56
E)E)$72.60
Rationale: The tip is 20% of what he paid for lunch.
tip = 20% of 60.50 = (20/100)*60.50 = $12.10
Total spent
60.50 + 12.10 = $72.60
correct answer is E)$72.60
Answer: E
Question: Which of the following best approximates the value of p if 5^30+3^11=5^p ?
Options:
A)39
B)30
C)28
D)27
E)17
Rationale: We have: 5^30+3^11=5^p
==> because 3^11 > 0 --> 5^p MUST be equal or greater than 5^30 ==>p MUST be equal or greater than 30
==> Options C, D, and E are out immediately.
Divide both sides by 5^p and p >= 30
We have:
5^(30-p) + 3^11/5^p = 1
Because p >= 30 ==>3^11/5^p = 0.0000xyz, that is very small,we can ignore it.
Thus, 5^(30-p) must be approximately 1
==> 30-p = 0 ==> p is approximately 30
B is the answer.
Answer: B
Question: IF
11= N
12= E
13= N
14= N
15= N
THEN 16=?
Options:
A)I
B)J
C)K
D)L
E)N
Rationale: IF
11= N... last letter of eleven
12= E.... last letter of Twelve
13= N
14= N
THEN 16=N... last letter of Sixteen
ANSWER:E
Answer: E
Question: After 38 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
Options:
A)7 liters
B)9 liters
C)5 liters
D)2 liters
E)2 liters
Rationale: Explanation:
95% ----------- 38
5% ------------ ? => 2 liters
Answer: D
Answer: D
Question: A data set with a mean of 40 has a standard deviation of 3.5. Which of the following is the smallest number that falls within one standard deviation of the mean?
Options:
A)18
B)36
C)59
D)63.5
E)65
Rationale: One standard deviation of the mean is from{mean}-{deviation}=40-3.5=36.5 to{mean}+{deviation}=40+3.5=43.5. The smallest number within this range from the options is 36.
Answer: B.
Hope this helps.
Answer: B
Question: A reduction of 42% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
Options:
A)2.15
B)8.15
C)7.15
D)3.15
E)1.15
Rationale: Explanation:
40*(42/100) = 16.8 --- 64
? --- 12 => Rs.3.15
Answer: D
Answer: D
Question: Departments A, B, and C have 5 employees each, and department D has 20 employees. Departments A, B, C, and D have no employees in common. A task force is to be formed by selecting 1 employee from each of departments A, B, and C and 2 employees from department D. How many different task forces are possible?
Options:
A)19,000
B)23,750
C)100,000
D)190,000
E)400,000
Rationale: 5c1 * 5c1* 5c1*20c2 = 5*5*5*190=23,750. Hence B is the correct answer.
Answer: B
Question: The average age 9 members of a committee are the same as it was 3 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Options:
A)20 years
B)27 years
C)18 years
D)29 years
E)30 years
Rationale: 9 * 3 = 27 years
Answer:B
Answer: B
Question: If w,x,y,z are consecutive positive integers ; then which of the following is always even?
[1] w*x+(y+2)^2*z
[2] w^x + z^y
[3] 6z^2
Options:
A)1
B)2
C)3
D)1 and 2
E)1 and 3
Rationale: Plug in some numbers
w = 1
x = 2
y = 3
z = 4
Check the options -
[1] w*x+(y+2)^2*z = 1*2 + (3+2)^2 * 4 => 2 + 25*4 = 102{ Not an odd Number }
[2] w^x + z^y = 1^2 + 4^3 => 1 + 64 = 65{ Odd number }
[3] 6z^2 =6*4^2 even
[1] and [3]
E
Answer: E
Question: Rs. 5625 is to be divided among A, B and C so that A may receive 1/2 as much as B and C together receive and B receives 1/4 of what A and C together receive. The share of A is more than that of B by
Options:
A)237
B)279
C)271
D)750
E)112
Rationale: A + B + C = 5625
\inline B=\frac{1}{4}(A+C) \Rightarrow A+C =4B
\inline \therefore 4B + B = 5625
B = 1125
Also A + C = 4B = 4 x 1125 = 4500
Also \inline A=\frac{1}{2}(B+C)\Rightarrow B+C= 2A
B = 2A - C
\inline \therefore 2A - C = 1125
Now solving A+C = 4500 and 2A-C = 1125
Then A = 1875 and C = 2625
\inline \therefore A-B = 1875 - 1125 = Rs. 750
Answer:D
Answer: D
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)2388
B)2799
C)2877
D)4266
E)2881
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: A library has an average of 425 visitors on Sundays and 325 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is :
Options:
A)140
B)240
C)260
D)280
E)340
Rationale: Explanation:
Since the month begins with a Sunday, so there will be five Sundays in the month,
Required average = (415 * 5 + 325 * 25) / 30 = 10200/30 = 340
Answer: E) 340
Answer: E
Question: A dog breeder would like to make the largest profit off of his latest litter of puppies. Puppies with more than 4 spots sell for more money. The last litter had 10 puppies; 6 had 5 spots, 3 had 4 spots, and 1 had 2 spots. What % of puppies can the dog breeder expect to sell for a greater profit?
Options:
A)90 %
B)65 %
C)50 %
D)85 %
E)80 %
Rationale: Number of dogs with profitable spots = (6 + 3)
= 6 + 3
= 9
Now, we need to calculate 9 is what percent of 10.
=> 9/10 * 100 = 90 %
A
Answer: A
Question: A secret can be told to only 2 persons in 3 minutes. Each person in turn tells 2 other persons in the next 3 minutes and the processes continues accordingly. In 30 minutes how many persons can be told this secret in this way?
Options:
A)1024
B)2046
C)512
D)4096
E)5096
Rationale: 2^1 + 2^2 + 2^3 + 2^4 + ..............+2^10 = 2(2^10 - 1)/(2-1)
= 2*1023 = 2046
ANSWER:B
Answer: B
Question: Compound X contains elements A and B at an approximate ratio, by weight, of 2:10. Approximately how many grams of element B are there in 324 grams of compound X?
Options:
A)54
B)162
C)250
D)270
E)322
Rationale: total number of fractions =2+10=12
element B constitutes =10 out of 12 parts of X
So in 324 gms of X have 324*10/12=270 gms of B
and 324-270=54 gms of A.
cross check:- A/B = 54/270 =2/10 (as given)
Ans D
Answer: D
Question: Two trains of equal lengths take 10 sec and 12 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Options:
A)22
B)12
C)77
D)99
E)11
Rationale: Speed of the first train = 120/10 = 12 m/sec.
Speed of the second train = 120/12 = 10 m/sec.
Relative speed = 12 + 10 = 22 m/sec.
Required time = (120 + 120)/22 = 11 sec.
Answer: E
Answer: E
Question: What is the median from the below series 90, 90, 93, 88, 95, 88, 97, 87, and 98
Options:
A)80
B)85
C)90
D)97
E)100
Rationale: Ordering the data from least to greatest, we get:
87, 88, 88, 90, 90, 93, 95, 96, 98
The median quiz score was 90. (Four quiz scores were higher than 90 and four were lower.)
C
Answer: C
Question: In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 10 percent, but profits were 15 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
Options:
A)80%
B)105%
C)135%
D)124.2%
E)138%
Rationale: the profit 0f 2009 in terms of 2008 = 0.9*15/10*100=135%
C
Answer: C
Question: A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Options:
A)7
B)6
C)8
D)9
E)2
Rationale: Speed of train relative to man = (60 + 6) km/hr = 66 km/hr
[66 * 5/18] m/sec = [55/3] m/sec.
Time taken to pass the man = [110 * 3/55] sec = 6 sec
Answer: B
Answer: B
Question: A man rides at the rate of 20km/hr. But stops 20minutes to change horses at the end of every 30th kilometer. How long will he take to go a distance of 120 kilometers?
Options:
A)5hr
B)6hr 30min
C)8hr 10min
D)7hr
E)9hr
Rationale: speed of man = 20km/hr
number of rests = (120/30)-1 = 3
time taken for the man = (120/20)+3*(20/60) = 7 hr
Answer is D
Answer: D
Question: What is the difference between the local values of 2 in the number 52402?
Options:
A)2992
B)2997
C)2877
D)2077
E)1998
Rationale: Explanation:
2000 â€“ 2 = 1998
Answer:E
Answer: E
Question: At a particular graduation party with 300 guests, 70% of the guests brought gifts, and 40% of the female guests brought gifts. If 45 males did not bring gifts to the party, how many females did bring gifts?
Options:
A)18
B)30
C)42
D)68
E)70
Rationale: the correct method
total = 300..
70% of 300 = 210 got gifts..
90 did not get gift, out of which 48 are males, so remaining 90-45=50 are females..
But 40% females brought gift, so 60% did not get it..
so 60% = 45, 100%= 45*100/60= 75..
ans 40% of 75 =30
B
Answer: B
Question: What is the positive difference between the sum of the squares of the first 6 positive integers and the sum of the prime numbers between the first square and fourth square?
Options:
A)11
B)12
C)13
D)14
E)50
Rationale: Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.
the sum of the squares of the first 4 positive integers = 1^2 + 2^2 + 3^2 +4^2+5^2+6^2 = 91
the sum of the prime numbers between the first square(=1) and fourth square(=16) = 2+3+5+7+11+13=41.
So the difference between 41 and 91 is 50.
So the answer is (E).
Answer: E
Question: The sum of three numbers is 147. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8,then the second number is :
Options:
A)20
B)30
C)38
D)45
E)None of these
Rationale: A : B = 2 : 3 = 2 × 5 : 3 × 5 = 10 : 15
and B : C = 5 : 8 = 5 × 3 : 8 × 3 = 15 : 24
Therefore, A : B : C = 10 : 15 : 24
∴ A : B : C = 10 : 15 : 24
Let the number be 10x, 15x and 24x.
Then, 10x + 15x + 24x = 147
or 49x = 147 or x = 3
⇒ Second number = 15x = 15 × 3 = 45
Answer D
Answer: D