divelab/Sys2Bench huggingface dataset:
Question: For positive integers n, the integer part of the nth term of sequence F equals n, while the infinite decimal part of the nth term is constructed in order out of the consecutive positive multiples of n, beginning with 2n. For instance, F_1 = 1.2345678…, while F_2 = 2.4681012… The sum of the first seven terms of sequence F is between:
Options:
A)28 and 29
B)29 and 30
C)30 and 31
D)31 and 32
E)32 and 33
Rationale: First, construct the first seven terms, though only out to a few decimal places, following the given pattern.
F_1 = 1.23…
F_2 = 2.46…
F_3 = 3.69…
F_4 = 4.812…
F_5 = 5.10…
F_6 = 6.12…
F_7 = 7.14…
Now, to add up the first seven terms, you should be strategic about how many decimal places to keep. You can drop the hundredths place and get a good approximation with the tenths place—and if you find the sum too close to a boundary between choices, then you can refine your answer if necessary.
1.2 + 2.4 + 3.6 + 4.8 + 5.1 + 6.1 + 7.1 = 30.3
Including more decimal places would only add a couple of tenths to the sum—not enough to tip the sum over 31.
The correct answer is C.
Answer: C
Question: Nobel buys an old car for $1000 and spends $1000 on its repairs. If he sells the scooter for $2500, his gain percent is?
Options:
A)10%
B)15%
C)25%
D)20%
E)30%
Rationale: C.P. = 1000+1000 = $2000
S.P. = $2500
Gain = 2500-2000 = $500
Gain% = 500/2000 * 100 =25%
Answer is C
Answer: C
Question: A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 5 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Options:
A)Rs.1178.55
B)Rs.1978.25
C)Rs.1332.5
D)Rs.1678
E)Rs.1675.55
Rationale: (x*5*3)/100 = ((2665 - x)*3*5)/100
15x/100 = 39975/100 - 15x/100
30x = 39975 => x = 1332.5
Second sum = 2665 – 1025 = 1332.5
ANSWER:C
Answer: C
Question: An employee’s annual salary was increased $25,000. If her new annual salary now equals $90,000, what was the percent increase?
Options:
A)15%
B)162⁄3%
C)20%
D)38.46%
E)24%
Rationale: New annual salary = $90,000
Salary increase = $25,000.
Original salary = $90,000 - $25,000.
= $75,000
%Increase = ($25,000/ $65,000 )*100
=38.46%
Hence D.
Answer: D
Question: What is the smallest number which when diminished by 10, is divisible 2, 6, 12 and 24?
Options:
A)35
B)34
C)20
D)35
E)342
Rationale: Required Number
= (LCM of 2, 6, 12 and 24) + 12
= 24 + 10 = 34
Option B
Answer: B
Question: A train with a length of 100 meters, is traveling at a speed of 72 km/hr. The train enters a tunnel 2.3 km long. How many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
Options:
A)2.0
B)2.5
C)3.0
D)3.5
E)4.0
Rationale: 72 km/hr = 1.2 km/min
The total distance is 2.4 km.
2.4 / 1.2 = 2 minutes
The answer is A.
Answer: A
Question: In a certain school, the ratio of boys to girls is 5 to 13. If there are 128 more girls than boys, how many boys are there?
Options:
A)27
B)36
C)45
D)72
E)80
Rationale: The ratio of b to G is 5:13 and the other data point is G are more than boys by 128...
Looking at the ratio we can say that the 8(13-5) extra parts caused this diff of 128. so 1 part corresponds to 128/8=16 and so
5 parts correspond to 5*16 = 80.
E
Answer: E
Question: How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
Options:
A)50
B)88
C)77
D)55
E)22
Rationale: The distance to be covered = Sum of their lengths = 200 + 300 = 500 m.
Relative speed = 72 -36 = 36 kmph = 36 * 5/18 = 10 mps.
Time required = d/s = 500/10 = 50 sec.
Answer: A
Answer: A
Question: Find the largest 4 digit number which isexactly divisible by 88?
Options:
A)7890
B)8900
C)9944
D)9976
E)10000
Rationale: Largest 4 digit number is 9999
After doing 9999 ÷ 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944
C
Answer: C
Question: Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time ,the rate of interest being the same ?
Options:
A)Rs. 10
B)Rs. 10.40
C)15.20
D)Rs. 13
E)None of these
Rationale: Solution
S.I. on Rs. (260-20) for a given time =Rs. 7.34.
S.I. on Rs. 240 for half the time = Rs.10.
T.D. on Rs. 250 = Rs. 10.
∴ T.D. on Rs. 260 = Rs. ( 10/250x 260 ) = Rs. 10.40.
Answer B
Answer: B
Question: If X,Y and Z are three consecutive multiples of 5. Then which of the following will the factor of X*Y*Z
1) 125
2) 250
3) 375
4) 750
Options:
A)only 1
B)1,2
C)1,3
D)1,2,3
E)All of them
Rationale: Given choices can be re-written as multiples of 125
1. 125
2. 125*2
3. 125*3
4. 125*6
Now if, 5*a = X, then
5*(a+1) = Y & 5*(a+2) = Z
So, X*Y*Z = 125* a(a+1)(a+2)
Now, among any 3 consecutive positive integers, we will either have (a number that is divisible by both 2 & 3) or (a number divisible by 2 and another number divisible by 3).
Ex:
17, 18, 19 -> 18 divisible by 2 & 3.
14, 15,16 -> 14, 16 divisible by 2 & 15 divisible by 3.
Hence 'E'
Answer: E
Question: 2056 x 987 = ?
Options:
A)1936372
B)2029272
C)1896172
D)1926172
E)1956231
Rationale: Answer: Option B
2056 x 987	= 2056 x (1000 - 13)
= 2056 x 1000 - 2056 x 13
= 2056000 - 26728
= 2029272.
Answer: B
Question: A watch was sold at a loss of 46%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Options:
A)280
B)288
C)279
D)277
E)290
Rationale: 54%
104%
--------
50% ---- 140
100% ---- ? => Rs.280
Answer: A
Answer: A
Question: ABCD is a square where AB =√2016. Let X be a point on AB and Y be a point on CD such
that AX = CY . Compute the area of trapezoid AXYD.
Options:
A)3008
B)2002
C)1008
D)2016
E)3000
Rationale: Note that trapezoids AXY D and BXY C are congruent, so the area of AXY D is
always
2016/2= 1008 .
correct answer C
Answer: C
Question: What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?
Options:
A)8000
B)8020
C)2879
D)2686
E)2996
Rationale: 8820 ---- 441
100 ---- ? => 5%
x *105/100 * 105/100 = 8820
x*1.1025=8820
x=8820/1.1025 => 8000
Answer: A
Answer: A
Question: Two taps A and B can fill a tank in 5 hours and 20hours respectively. If both the taps are open then due to a leakage, it took 30 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank?
Options:
A)24 hr
B)36 hr
C)18 hr
D)42 hr
E)30 hr
Rationale: Part filled by A+B in 1 hour = 1/5 + 1/20 = 1/4
A and B together can fill the tank in 4 hour
Work done by the leak in 1 hour = 1/4 - 2/9 = 1/36
leak will empty the tank in 36 hours.
Answer is B
Answer: B
Question: A car dealer sold x used cars and y new cars during May. If the number of used cars sold was 10 greater than the number of new cars sold. Which of the following expresses this relationship ?
Options:
A) x > 10y
B) x > y + 10
C) x > y – 10
D) x = y + 10
E) x = y – 10
Rationale: Let number of used cars sold in May = x
number of new cars sold in May = y
x= y + 10
Answer D
Answer: D
Question: Peter will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible?
Options:
A)5
B)6
C)9
D)24
E)26
Rationale: Peter will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row.person with max height is in the second row, person with min height is in the first row. We need to select 1 person in the middle of each row... In the middle of the first row we can put only 2, 3 or 4. In the middle of the second row we can put only 3, 4, 5. If we select {3 in the sec. row, 2 in the first}, {4,2}, {5,2}, {4,3}, {5,3}, {5,4}. So, there are 0*1 + 1*1 + 2*1 + 1*1 + 1*1 + 0*1 = 5 cases...A
Answer: A
Question: If k > 0, x + 2k = y, and y + 3k = z, what is the ratio between z - x and y - x ?
Options:
A)3 to 1
B)3 to 2
C)4 to 1
D)5 to 1
E)5 to 2
Rationale: y-x = 2k
z-y = 3k
Let's add the two equations together:
z-x = 5k
The ratio of z-x to y-x is 5:2.
The answer is E.
Answer: E
Question: A man can row with a speed of 5 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Options:
A)A)63kmph
B)B)63kmph
C)C)10kmph
D)D)62kmph
E)E)74kmph
Rationale: Explanation:
M = 5
S = 5
DS = 5 + 5 = 10
Answer: Option C
Answer: C
Question: A train 640 meters long is running with a speed of 64 kmph. The time taken by it to cross a tunnel 140 meters long is?
Options:
A)44 sec
B)49 sec
C)48 sec
D)16 sec
E)17 sec
Rationale: D = 640 + 140 = 780
S = 64 * 5/18 = 17.7 mps
T = 780/17.7 = 44 sec
Answer: A
Answer: A
Question: For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 1 order of $120 ?
Options:
A) $1
B) $2
C) $3
D) $4
E) $5
Rationale: Total cost involved for each 75 $ shipment: 3+2 = 5 $. Thus, for two such orders = 10$
Total cost involved for a 120$ shipment: 3+3 = 6$.
The difference = 4$.
D.
Answer: D
Question: Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Options:
A)10 sec
B)17 sec
C)18 sec
D)16 sec
E)12 sec
Rationale: RS = 60 -40 = 20 * 5/18 = 100/18
T = 50
D = 50 * 100/18 = 2500/9
RS = 60 + 40 = 100 * 5/18
T = 2500/9 * 18/500
= 10 sec
Answer: A
Answer: A
Question: r=2^(n+1), then in terms of r, 9^n=
Options:
A)r^2/81
B)r^2/9
C)r^2/4
D)r/3
E)r
Rationale: Questions in terms of variables can be easily solved by plugging in some values: Say n = 0
r = 2^1 = 2
and you need the value of 2^n which is 2^0 = 1
So when you put r = 2 in the options, you should get 1. Only option (C) satisfies.
Answer (C)
Answer: C
Question: 150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration of the acid in the mixture?
Options:
A)1/2
B)1/3
C)1/4
D)1/6
E)1/5
Rationale: 150 ml solution contains 45 ml sulphuric acid
400 ml solution contains 48 ml sulphuric acid
Adding
550 ml solution contains 93 ml sulphuric acid
93/550≈90/540=1/6
Answer is D
Answer: D
Question: On a sum of money, the S.I. for 2 years is $660, while the C.I. is $693, the rate of interest being the same in both the cases. The rate of interest is?
Options:
A)10%
B)32%
C)72%
D)14%
E)82%
Rationale: Difference in C.I. and S.I for 2 years = $693 - $660 = $33
S.I for one year = $330
S.I. on $330 for 1 year = $33
Rate = (100 * 33)/(330) = 10%
The answer is A.
Answer: A
Question: Two cubes of their volumes in the ratio 8 : 125. The ratio of their surface area is:
Options:
A)1.5:5
B)2:5
C)3:5
D)1:5
E)4:5
Rationale: The ratio of their surface area is
8 : 125
2 : 5
Answer is B.
Answer: B
Question: The compounded ratio of (2:3), (6:11) and (11:2) is
Options:
A)2 : 1
B)1 : 2
C)36 : 121
D)11 : 24
E)None
Rationale: Sol.
Required ratio = [2/3 x 6/11 x 11/2] = 2/1
= 2 : 1.
Answer A
Answer: A
Question: When Jessica withdrew $200 from her bank account, her account balance decreased by 2/5. If she deposits an amount equal to 1/5 of the remaining balance, what will be the final balance in her bank account?
Options:
A)300
B)360
C)400
D)500
E)575
Rationale: As per the question 200=2a/5
thus- a which is the total amount =500
The amount thus left =300
She then deposited 1/5 of 300=60
total amount in her account =360
Answer B
Answer: B
Question: If each year the population of the country grows by 20%, how many years will elapse before the population of the country doubles?
Options:
A)3
B)4
C)5
D)6
E)7
Rationale: Till Year 2000, population is 100 .
Year 2001: Population becomes 120 ............. 1 Year elapsed
Year 2002: Population becomes 144 ............. 2 Year elapsed
Year 2003: Population becomes 172 ............. 3 Year elapsed
Year 2004: Population > 200 .................. 4 year elapsed
Answer:B
Answer: B
Question: A man can ride on motorcycle at 50 kmph upward road and 100 kmph downward road. He takes 12 hours to ride motorcycle uphill from lower point A to upper point B and back to A. What is the total distance traveled by him in 12 hours? He must return back to base point A in remaining time.
Options:
A)1000
B)900
C)800
D)400
E)1200
Rationale: Upward distance traveled per hour - 50 km,
distance traveled after 8 hours = 400 km.
He remained with 4 hours travel downward, i.e. distance traveled in remaining 4 hours downward = 400 km
so total distance traveled from A to B and Back to point A = 400 km upward + 400 km downhill = 800 km
(Answer : C)
Answer: C
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
A. 31/32 B. 1/16
Options:
A)31/32
B)31/89
C)31/25
D)31/17
E)31/13
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: A number is said to be prime saturated if the product of all the different positive prime factors of r is less than the square root of r. What is the greatest two digit prime saturated integer ?
Options:
A)99
B)98
C)97
D)96
E)95
Rationale: Clearly D A number is said to be prime saturated if the product of all the different positive prime factors of r is less than the square root of r.
96 has more number of smaller prime factor thats the clue !!=D
Answer: D
Question: the average distance between the sun and a certain planet is approximatly 2.1 10^15 inches. which of the following is the closest to the average distence between sun and the planet in kelometers? (1 km is approx 3.9 x 10^4 inches)
Options:
A)6.4 x(10)^10
B)5.4 x(10)^10
C)7.4 x(10)^10
D)2.4 x(10)^10
E)3.4 x(10)^10
Rationale: No need to solve entire problem.
Distance in KM = 21*(10)^15/39*(10)^4 which is -210*(10)^14/39*(10)^4 = 5.4 x(10)^10
Answer : B
Answer: B
Question: 597**6 is divisible by both 3 and 11. The non-zero digits in the Hundred’s and ten’s places are respectively:
Options:
A)3 and 6
B)7 and 9
C)2 and 6
D)4 and 7
E)None
Rationale: Solution : Let the given number be 597xy6.
Then (5+9+7+x+y+6)=(27+x+y) must be divisible by 3
And, (6+x+9)-(y+7+5)=(x-y+3) must be either 0 or divisible by 11. x-y+3=0
=> y=x+3 27+x+y)
=>(27+x+x+3)
=>(30+2x)
=> x = 3 and y = 6.
Answer A
Answer: A
Question: Andy solves problems 78 to 125 inclusive in a Math exercise. How many problems does he solve?
Options:
A)53
B)52
C)51
D)50
E)48
Rationale: 125-78+1= 48
'E' is the answer
Answer: E
Question: A rectangular floor that measures 6 meters by 8 meters is to be covered with carpet squares that each measure 2 meters by 2 meters. If the carpet squares cost $12 apiece, what is the total cost for the number of carpet squares needed to cover the floor?
Options:
A) $200
B) $240
C) $480
D) $960
E) $144
Rationale: The width of the rectangular floor(6 m) is a multiple of one side of the square(2 m), and the length of the floor(8 m) is also a multiple of the side of the square. So the number of carpets to cover the floor is (6/2)*(8/2)=12.
The total cost is 12*12=$144
The answer is, therefore, E.
Answer: E
Question: If two numbers are in the ratio 2:3 and the numerator and denominator are added and subtracted by1 and 2 respectively, then the ratio becomes 6:2, then find the smallest number?
Options:
A)2
B)1
C)3
D)4
E)6
Rationale: 2:3
2x + 1 : 3x - 2 = 3 : 1
[2x + 1] = 3[3x - 2]
2x + 1= 9x -6
9x - 2x = 7
x = 1
Then smallest number is = 2x
2x = 2
A
Answer: A
Question: For which of the following does y(a)−y(b)=y(a−b) for all values of a and b?
Options:
A)y(x)=x^2
B)y(x)=x/2
C)y(x)=x+5
D)y(x)=2x−1
E)y(x)=|x|
Rationale: To solve this easiest way is just put the value and see that if it equals or not.
with option 1. y(a) = a^2 and y(b) = b^2
so L.H.S = a^2 - b^2
and R.H.S = (a-b)^2 ==> a^2 + b^2 -2ab.
so L.H.S not equal to R.H.S
with option 2. y(a) = a/2 and y(b) = b/2
L.H.S = a/2 - b/2 ==> 1/2(a-b)
R.H.S = (a-b)/2
so L.H.S = R.H.S which is the correct answer.
answer:B
Answer: B
Question: Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 231 marks in the second test and failed by 48 marks in that test. Find the pass mark in the first test?
Options:
A)768
B)243
C)246
D)625
E)248
Rationale: Let the maximum mark in each test be M.
The candidate failed by 48 marks in the second test.
pass mark in the second test = 231 + 48 = 279
45/100 M = 279
Pass mark in the first test = 40/100 M = 40/45 * 279 = 248.
Answer:E
Answer: E
Question: A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
Options:
A)2: 5
B)2: 0
C)2: 2
D)2: 3
E)2: 9
Rationale: 80* 7: x* 3 = 1:1 1/2
560: 3x = 2: 3
x = 280.Answer: D
Answer: D
Question: Fiind the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
Options:
A)5200
B)2882
C)5460
D)2342
E)2900
Rationale: 5000 * 104/100 * 105/100
=> 5460
Answer: C
Answer: C
Question: If 102y = 25, then 10-y equals:
Options:
A)-1/5
B)1/625
C)1/50
D)1/25
E)1/5
Rationale: 102y = 25
(10y)2 = 52
10y = 5
1/10y = 1/5
10-y = 1/5
Answer: E
)
Answer: E
Question: Salaries of Prasanna and Sathish are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sathish's present salary?
Options:
A)Rs. 15000
B)Rs. 18000
C)Rs. 38000
D)Rs. 43000
E)None
Rationale: Sol.
Let the original salaries of Prasanna and Sathish be Rs. 2x and
Rs. 3x respectively. Then,
2x + 4000 / 3x + 4000 = 40/57
⇔ 57(2x + 4000) = 40(3x + 4000)
⇔ 6x = 68000
⇔ 3x = 34000.
Sathish's present salary = (3x + 4000) = (34000 + 4000) = Rs.38000.
Answer C
Answer: C
Question: An unbiased cubic die is thrown.What is the probabiltiy of getting a multiple of 3 or 4?
Options:
A)1
B)4
C)2/3
D)1/4
E)1/2
Rationale: Total numbers in a die=6
P(multiple of 3) = 2/6 = 1/3
P(multiple of 4) = 1/6
P(multiple of 3 or 4) = 1/3 + 1/6 = 1/2
ANSWER:E
Answer: E
Question: A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?
Options:
A)26 min 18 sec
B)42 min 36 sec
C)45 min
D)46 min 12 sec
E)46 min 15 sec
Rationale: L.C.M of 252, 308 and 198 = 2772
So, A, B and C will again meet at the starting point in 2772 sec, i.e., 46 min 12 sec.
ANSWER:D
Answer: D
Question: The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.1045.What was his original salary?
Options:
A)1268
B)1000
C)1786
D)1778
E)2212
Rationale: X * (110/100) * (95/100) = 1045
X * (11/10) * (1/100) = 11
X = 1000
Answer: B
Answer: B
Question: Mr. Hernandez, who was a resident of State X for only 8 months last year, had a taxable income of $22,500 for the year. If the state tax rate were 10 percent of the year’s taxable income prorated for the proportion of the year during which the taxpayer was a resident, what would be the amount of Mr. Hernandez’s State X tax for last year?
Options:
A) $1500
B) $1720
C) $1600
D) $1300
E) $1160
Rationale: Total tax for the year = 22,500 x 10% = 2250
As stated Annual tax is prorated as per the duration of stay.
Prorated Tax = 900 (8/12) = 1500
Answer A
Answer: A
Question: The average of 11 results is 49, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
A)21
B)67
C)18
D)25
E)23
Rationale: 1 to 11 = 11 * 49 = 539
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 â€“ 539 = 67
Answer:B
Answer: B
Question: If a number is chosen at random from the set {1, 2, 3, ...., 100}, then the probability that the chosen number is a perfect cube is
Options:
A)1/25
B)1/27
C)1/28
D)1/22
E)1/24
Rationale: We have 1, 8, 27 and 64 as perfect cubes from 1 to 100.
Thus, the probability of picking a perfect cube is
4/100 = 1/25.
Answer:A
Answer: A
Question: The ratio of the radius of two circles is 2: 3, and then the ratio of their areas is?
Options:
A)1: 8
B)4:9
C)1: 9
D)1: 3
E)1: 2
Rationale: r1: r2 = 2: 3
Πr12: Πr22
r12: r22 = 4: 9
Answer:B
Answer: B
Question: Two ants, Arthur and Amy, have discovered a picnic and are bringing crumbs back to the anthill. Amy makes twice as many trips and carries one and a half times as many crumbs per trip as Arthur. If Arthur carries a total of c crumbs to the anthill, how many crumbs will Amy bring to the anthill, in terms of c?
Options:
A)x/2
B)x
C)3x/2
D)2x
E)3x
Rationale: Lets do it by picking up numbers. Let Arthur carry 2 crumbs per trip, this means Amy carries 3 crumbs per trip. Also let Arthur make 2 trips and so Amy makes 4 trips.
Thus total crumbs carried by Arthur (c) = 2 x 2 = 4, total crumbs carried by Amy = 3 x 4 = 12. 12 is 3 times 4, so E
Answer: E
Question: Raju age after 15 years will be 5 times his age 5 years back, What is the present age of Raju
Options:
A)15
B)14
C)10
D)8
E)9
Rationale: Explanation:
Clearly,
x+15 = 5(x-5)
<=> 4x = 40 => x = 10
Option C
Answer: C
Question: A car is running at a speed of 60kmph. What distance will it cover in 8sec?
Options:
A)100m
B)136m
C)180m
D)200m
E)250m
Rationale: Speed = 60kmph = 60*5/18 = 17 m/s
Distance covered in 8sec = 17*8 = 136m
Answer is B
Answer: B
Question: A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sold the entire quantity at 4 pounds for $1.00. How many pounds did the grocer purchase if the profit from selling the bananas was $9.00?
Options:
A) 40
B) 60
C) 90
D) 120
E) 108
Rationale: Cost price of 1 pound of bananas = 0.5/3 = 1/6
Selling price of 1 pound of bananas = 1/4
Profit per pound = (1/4 - 1/6) = (1/12)
Total profit is given as 9
(1/12)*x = 9
x = 108
Answer: E
Answer: E
Question: Look at this series: 32, 31, 33, 32, 34, 33, ... What number should come next?
Options:
A)38
B)32
C)35
D)36
E)31
Rationale: Here we alternatively subtracted 1 and added 2 then subtracted 1 and added 2 and so on..
The answer is option C (35)
Answer: C
Question: This year, MBB Consulting fired 8% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction?
Options:
A)98.5%
B)101.2%
C)102.8%
D)104.5%
E)105.0%
Rationale: 100 employees getting 1000$ avg, so total salary for 100 ppl = 100000
8% reduction in employees lead to 92 employees and a salary increase of 10% of previous avg salary
Thus the new avg salary is = 10%(1000)+1000 = 1100
so total salary of 92 employees is 92*1100 = 101200
Now the new salary is more than previous salary by x%. x = (101200/100000)*100 = 101.2%
So the Answer is B
Answer: B
Question: If integers a and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. a^b + b^2
II. (a + b)^2
III. a + b
Options:
A)I only
B)II only
C)III only
D)I and II only
E)I, II, and III
Rationale: Factors of 30 are 1,2,3,6,5,10,15,30.
for options 1) & 3) consider a=2 and b=1 we find then 3 ,which is a factor
but for option 2) any values doesn't melts to any factor.
eg:-if we put a=3 and b=1 then (a+b)^2 =16 which is not a factor of 30
ANSWER:B
Answer: B