divelab/Sys2Bench huggingface dataset:
Question: A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the possibility that the 2 apples selected will include the spoiled apple?
Options:
A)1/5
B)3/10
C)2/5
D)1/2
E)3/5
Rationale: p (both apples are not spoiled) = 4C2/5C2 = 4*3/5*4 = 3/5
p (one of the apple spoiled) = 1-3/5 = 2/5
Answer is C.
Answer: C
Question: A boat can move upstream at 25 kmph and downstream at 45 kmph, then the speed of the current is?
Options:
A)5
B)6
C)7
D)4
E)10
Rationale: US = 25
DS = 45
M = (45 - 25)/2 = 10
Answer: E
Answer: E
Question: At Bala's firm's annual revenue grows twice as fast as its costs. In 2007 it operated at a $1000 loss, it broke even in 2008, and in 2009 its revenues were 44% higher than in 2007. If the firm's revenues and costs grew at a constant rate over this period, what was its profit in 2009?
Options:
A)700
B)1000
C)1300
D)1600
E)2000
Rationale: At Bala's firm's annual revenue grows twice as fast as its costs. First solve for how much revenue is increasing each year:
R2008= R2007*(1+x)
R2009= R2007*(1+x)^2=1.44*R2007
(1+x)^2 = 1.44
1+x=1.2
x=0.2 aka revenue increases 20% each year and cost increases 10% annually
Next solve for R2007and C2007:
R2007= C2007- 1000
1.2*R2007- 1.1*C2007= 0
1.2*[C2007- 1000] - 1.1*C2007= 0
0.1*C2007= 1,200
C2007= 12,000
R2007= 11,000
Finally find 2009 profits:
Profit2009= 1.44*11,000 - 1.21*12,000
Profit2009= 15,840 - 14,520
Profit2009= 1320
Answer: C
Answer: C
Question: If an object travels 90 feet in 2 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet)
Options:
A)30.68
B)32.34
C)34.56
D)36.72
E)38.95
Rationale: 90 feet/2 seconds = 45 feet/second
(45 feet/second)*(3600 seconds/hour)*(1 mile/5280 feet) = 30.68 (approximately)
The answer is A.
Answer: A
Question: Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
Options:
A)2/7
B)3/10
C)3/4
D)1/9
E)7/9
Rationale: In a simultaneous throw of two dice, we have n(S) = (6 x 6) = 36.
Then, E= {(1, 2), (1, 4), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 2), (3, 4),
(3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 2), (5, 4), (5, 6), (6, 1),
(6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}
n(E) = 27.
P(E) =n(E)/n(S)=27/36=3/4.
hence:C
Answer: C
Question: P, Q and R can do a piece of work in 20, 30 and 60 days respectively. In how many days can P do the work if he is assisted by Q and R on every third day?
Options:
A)15 days
B)18 days
C)20 days
D)25 days
E)10 days
Rationale: P 2 days work = 1/20*2 = 1/10
(P + Q+ R)'s 1 day work ( 1/20 + 1/30 + 1/60) = 6/60 = 1/10
work done in 3 days = 1/5
so 1/5 work done in 3 days
whole work ( 3* 5) = 15 days
ANSWER A
Answer: A
Question: Sum of the squares of 3 no. is 276 and the sum of their products taken two at a time is 150. Find the sum?
Options:
A)22
B)18
C)26
D)24
E)32
Rationale: (a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 276 + 2* 150
a + b + c = âˆš576 = 24
Answer D
Answer: D
Question: From the starting point in a boat race, one competitor started to sail north at a speed of 1.6 Km/h, the other competitor started to sail west at a speed of 1.3 Km/h. What is the distance in Km between the two competitors after 5 hours?
Options:
A)10.3
B)12.
C)12.5.
D)14.
E)15.4.
Rationale: Both competitors are sailing making angle of 90 degrees.
After 5 hrs one competitor will cover a distance of = 1.6 *5= 8 KM
And, other competitor will cover a distance of = 1.3*5= 6.5KM
distance between them after 5 hrs = (8^2+ 6.5^2)^1/2= 10.3 KM
A is the answer
Answer: A
Question: If |x| = 9x-16, then x = ?
Options:
A)1
B)1/2
C)2
D)4
E)-1/2
Rationale: Substituted option C i.e x=2. Inequality satisfied.
This eliminates all options except
Answer is C
Answer: C
Question: speed of a bus is 54kmph and including stoppages, it is 45kmph. For how many minsdoes the bus stop per hour?
Options:
A)10 min
B)20 min
C)30 min
D)50 min
E)60 min
Rationale: speed of the bus excluding stoppages = 54 kmph
speed of the bus including stoppages = 45 kmph
Loss in speed when including stoppages = 54 - 45 = 9kmph
=> In 1 hour, bus covers 9 km less due to stoppages
Hence, time that the bus stop per hour = time taken to cover 9 km
=distancespeed=954 hour=16 hour = 606 min=10 min
A
Answer: A
Question: On a certain scale of intensity, each increment of 10 in magnitude represents a tenfold increase in intensity. On this scale, an intensity corresponding to a magnitude of 165 is how many times an intensity corresponding to a magnitude of 135?
Options:
A)40
B)100
C)400
D)1000
E)10 000
Rationale: Increase of 40 in magnitude corresponds to 10^4 increase in intensity:
If intensity for 135 is x then for 135 it'll be 10*x, for 145 it'll be 10*10*x=10^2*x, for 155 it'll be 10*10*10*x=10^3*x and for 165 it'll be 10*10*10*10*x=10^4*x.
Answer: E.
Answer: E
Question: Look at this series: 0.05, 0.2, ____, 3.2, 12.8, ... What number should fill the blank?
Options:
A)0.5
B)0.6
C)0.9
D)0.7
E)0.8
Rationale: This is a simple multiplication series. Each number is 4 times greater than the previous number.
Answer: E
Answer: E
Question: Two persons start running simultaneously around a circular track of length 200 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions ?
Options:
A)27 sec
B)17 sec
C)18 sec
D)22 sec
E)37 sec
Rationale: Explanation:
Time taken to meet for the first time anywhere on the track
= length of the track / relative speed
= 200 / (15 + 25)5/18 = 200x 18 / 40 x 5 = 18 seconds.
Answer: C
Answer: C
Question: Two pipes A and B can fill a cistern in 8 and 12 minutes respectively, and a third pipe C can empty it in 15 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Options:
A)17 1/17 min
B)28 1/7 min
C)17 1/7 min
D)17 1/8 min
E)17 5/7 min
Rationale: 1/8 + 1/12 - 1/15 = 17/120
120/17 = 7 1/17
Answer:A
Answer: A
Question: Forty five percent of a number is 21 less than four fifth of that number. What is the number ?
Options:
A)60
B)140
C)230
D)130
E)125
Rationale: Let the number be x.
Then, 4*x/5 â€“(45% of x) = 21
4x/5 â€“ 45x/100 = 21
x = 60.
Answer A.
Answer: A
Question: The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is
Options:
A)8! * â·Pâ‚†
B)6! * â·Pâ‚†
C)4! * â·Pâ‚†
D)2! * â·Pâ‚†
E)3! * â·Pâ‚†
Rationale: Explanation:
We can initially arrange the six boys in 6! ways.
Having done this, now three are seven places and six girls to be arranged. This can be done in â·Pâ‚† ways.
Hence required number of ways = 6! * â·Pâ‚†
Answer:B
Answer: B
Question: A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.10 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?
Options:
A)1218
B)1200
C)1688
D)6996
E)2791
Rationale: l * 30 = 1200 è l = 40
40 + 30 + 50 = 120
120 * 10 = 1200
Answer: B
Answer: B
Question: A train 90m long is running at 20kmph. In how much time will it pass a platform 80m long?
Options:
A)15.6 seconds
B)24.6 seconds
C)28.6 seconds
D)13.6 seconds
E)35.6 seconds
Rationale: Distance travelled = 90 + 80m = 170mSpeed = 20 * 5/8 = 25/2mTime = 170 * 2/25 = 13.6 SecondsAnswer : D.
Answer: D
Question: A can do a piece of work in 9 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Options:
A)18
B)77
C)66
D)54
E)12
Rationale: 8/9 + 6/x = 1
X = 54 days
Answer:D
Answer: D
Question: The distance from Steve's house to work is 10 Km. On the way back Steve drives twice as fast as he did on the way to work. Altogether, Steve is spending 6 hours a day on the roads. What is Steve's speed on the way back from work?
Options:
A)5.
B)10.
C)14.
D)15.
E)20.
Rationale: Time is in the ratio 2:1 :: to: fro office
Therefore, 2x+1x=6 hrs
Time take to come back - 2 hrs, distance travelled - 10km => Speed = 5kmph
A
Answer: A
Question: A developer has land that has x feet of lake frontage. The land is to be subdivided into lots, each of which is to have either 80 feet or 120 feet of lake frontage. If 1/9 of the lots are to have 80 feet of frontage each and the remaining 40 lots are to have 120 feet of frontage each, what is the value of x ?
Options:
A)400
B)3,200
C)3,700
D)4,400
E)5,200
Rationale: Total number of plots,be T
Plots with 80ft is (1/9)th of total plots.
Plots with 120ft frontage = (8/9) X total number of plots
i.e 8/9 X T = 40 T = 45
Total lake frontage = 40X120 + 5X80 = 5200
Answer : E
Answer: E
Question: 10% people of a village in Sri Lanka died by bombardment, 20% of the remainder left the village on account of fear. If now the population is reduced to 4500, how much was it in the beginning?
Options:
A)5999
B)6788
C)6250
D)4559
E)6989
Rationale: X * (90/100) * (80/100) = 4500
X = 6250
Answer: C
Answer: C
Question: A committee is to be formed by randomly choosing 3 people from 7 candidates. If Alice and Bob are candidates, what is the probability that Alice will be selected but Bob will not?
Options:
A)2/7
B)3/7
C)2/35
D)3/35
E)4/35
Rationale: The total number of ways to form a committee is 7C3=35.
The number of committees which include Alice but not Bob is 5C2=10.
The probability that Alice is selected but Bob is not selected is 10/35=2/7.
The answer is A.
Answer: A
Question: Find the average of all the numbers between 11 and 21 which are divisible by 2.
Options:
A)15
B)18
C)16
D)22
E)None
Rationale: Sol.
Average = (12 + 14 + 16+ 18+ 20 / 5) = 80 / 5 = 16.
Answer C
Answer: C
Question: For any positive number x, the function [x] denotes the greatest integer less than or equal to x. For example, [1] = 1, [1.267] = 1 and [1.999] = 1. If k is a positive integer such that k^2 is divisible by 45 and 80, what is the units digit of k^3/4000 ?
Options:
A)0
B)0
C)27
D)54
E)Cannot be determined
Rationale: K=[lCM of 80 and 45] * (any integer)
however minimum value of k is sq.rt of 3^2*4^2*5^2 = 60 * any integer
for value of k(60) * any integer unit value will be always zero .
B
Answer: B
Question: A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Options:
A)Rs.45
B)Rs.48
C)Rs.44
D)Rs.43
E)Rs.41
Rationale: π (152 - 132) = 176
176 * 1/4
= Rs.44
Answer:C
Answer: C
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 20 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Options:
A)565
B)444
C)676
D)767
E)432
Rationale: 1h ----- 4
? ------ 60
12 h
RS = 16 + 20 = 36
T = 12
D = 36 * 12 =432
Answer: E
Answer: E
Question: Set E consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in set E by 50, set Y is derived by multiplying each term in set E by 1.5, and set Z is derived by dividing each term in set E by -4. Which of the following represents the ranking of the three sets in descending order of standard deviation?
Options:
A) X, Y, Z
B) X, Z, Y
C) Y, Z, X
D) Y, X, Z
E) Z, Y, X
Rationale: Set E - {2, 4, ..., 100};
Set X - {-48, -46, ..., 50};
Set Y - {3, 6, ..., 150};
Set Z - {-2/4, -4/4, ..., -100/4} = {-1/2, -1, -3/2, ..., -25}.
If we add or subtract a constant to each term in a set the SD will not change, so sets E and X will have the same SD.
If we increase or decrease each term in a set by the same percent (multiply by a constant) the SD will increase or decrease by the same percent, so set Y will have 1.5 times greater SD than set E and set Z will have 4 times less SD than set E (note SD can not be negative so SD of Z wil be SD of E divided by 4 not by -4).
So, the ranking of SD's in descending order is: Y, E=X, Z.
Answer: D.
Answer: D
Question: The average age of a husband and a wife is 30 years when they were married ten years ago but now the average age of the husband, wife and child is 30 years(the child was born during the interval). What is the present age of the child?
Options:
A)2 years
B)5 years
C)10 years
D)4 years
E)1 years
Rationale: 40 * 2 = 80
30 * 3 = 90
-----------
10 years
Answer:C
Answer: C
Question: List of salaries of 8 employees are listed below. What is the median salary? $40,000, $29,000, $35,500, $31,000, $43,000, $30,000, $27,000, $32,000
Options:
A)$28,000
B)$29,500
C)$30,500
D)$30,000
E)$31,500
Rationale: Ordering the data from least to greatest, we get:
$27,000, $29,000, $30,000, $31,000, $32,000, $35,500, $40,000, $43,000
Since there is an even number of items in the data set, we compute the median by taking the mean of the two middlemost numbers.
$31,000 + $32,000 = $63,000
The median salary is $31,500.
E
Answer: E
Question: If f(x) = 1 - x if x > 0
= 1/(1 - x) if x≤≤0.
Options:
A)1102
B)2767
C)2667
D)1998
E)1122
Rationale: Let x≤≤0
f(x) = 11−x11−x
f(f(x)) = 1 - 11−x11−x (As 11−x11−x x≥0x≥0
= −x1−x−x1−x (Observe −x1−x−x1−x is Positive for x is negitive)
f3(x)f3(x) = 1−−x1−x=1−x−(−x)1−x=11−x1−−x1−x=1−x−(−x)1−x=11−x
So f1(x)=f3(x)=f5(x)=.....f101(x)f1(x)=f3(x)=f5(x)=.....f101(x)
f101(x)=f1(x)=11−x=11−(−101)=1102
Answer:A
Answer: A
Question: The sum of first 45 natural numbers is?
Options:
A)1030
B)1034
C)1035
D)1037
E)1040
Rationale: Let Sn =(1 + 2 + 3 + ... + 45). This is an A.P. in which a =1, d =1, n = 45.
Sn =	n	[2a + (n - 1)d]	=	45	x [2 x 1 + (45 - 1) x 1]	= 45	x 46 = (45 x 23)
2	2	2
= 45 x (20 + 3)
= 45 x 20 + 45 x 3
= 900 + 135
= 1035.
C)
Answer: C
Question: A shipment of 250 smartphones contains 84 that are defective. If a customer buys two smartphones at random from the shipment, what is the approximate probability that both phones are defective?
A.
B.
C.
D.
E.
Options:
A)1/250
B)1/84
C)1/11
D)1/9
E)1/3
Rationale: Probability of choosing one defective phone from a lot of 250 which ontains 84 defective phones is = (84/250)
Probability of choosing one defective phone from a lot of 249(we already picked one) which ontains 83(we already picked one) defective phones is = (83/249)
Combined probability of series of events = product of the probabilities = (84/250)*(83/249)
84/250 is close to (1/3) and (83/249)= (1/3)
so answer is (1/3)*(1/3) = (1/9)
ANSWER:D
Answer: D
Question: In a mixture of 45 litres, the ratio of acid to base is 3 : 2. How much base must be added to make the ratio 9: 11?
Options:
A)10 lts
B)15 lts
C)17 lts
D)20 lts
E)22 lts
Rationale: Let M = 3K,W = 2K
Thus, 3K + 2K = 45
=> K=9
=> acid = 27 litres and base = 18 litres.
Now suppose x litres of base is added to the mixture such that
27/(18 + X) = 9/11
=>162 +9X = 297
=> 9X = 135
=> X = 15
ANSWER:B
Answer: B
Question: The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.100 and Rs.80 respectively. What is the sum and the time?
Options:
A)Sum = Rs.400 and Time = 5 years
B)Sum = Rs.200 and Time = 2.5 years
C)Sum = Rs.400 and Time = 2.5 years
D)Sum = Rs.200 and Time = 5 years
E)None of these
Rationale: Explanation :
BD = Rs.100
TD = Rs.80
R = 10%
F = BD ×TD/(BD – TD)=100×80/(100–80)=100×80/20=Rs. 400
BD = Simple Interest on the face value of the bill for unexpired time =FTR/100
⇒100 = (400×T×10)/100
⇒100 = 4 × T × 10 ⇒10 = 4 × T
⇒ T = 10/4 = 2.5 years Answer : Option C
Answer: C
Question: There are two sets A and B. The range of set A is 7, and the range of set B is 13. If the two sets are combined and get a new set Q, which cannot be the range of the set Q?
Options:
A)8
B)B.11
C)C.14
D)D.17
E)E.21
Rationale: Let Set A has 1,8 as elements
B has 1,14 as elements.. So Range for Combined set Q becomes 14-1=13
For range to be 14,
A = 1,8
B= 2,15 (Range=14)
For range to be 17
A=1,8
B= 5,18
For range to be 21:
A=1,8
B= 9 ,22
So we are left with A and B.
Now consider A has elements A= -1,-8 and Thus Range =-1-(-8) =7
So for Range of combined set to be 11, B needs to have largest elementxso that x- (-8)=11 or x=3...But if x=3, the largest element in Combined Set then smallest element in the combined set will be 3-y=13 or y=-10....And the range of combined set 3-(-10)=13...
Consider Option A
A=-1,-8
B= y,x where y and x are smallest and largest element in Set B
Elements of Combined Set: -8,-1,y and x
Now x-(-8)=8 or x=0, then x-y=13 or y=-13...
Range of Combined Set: 0-(-13)= 13...
I don't see how range can be 8 or 11...Can you please post the source and explanation for the OA in spoiler...=B
Answer: B
Question: Bob is attempting to feed his pets. He feeds his pets as follows:
- No dog receives more food than any other dog
- No cat receives any less food than any other cat
- The cats, as a group, receive exactly as much food as a single dog
If Bob has seven dogs and four cats, approximately what percentage of the food bag does a cat receive?
Options:
A)25.0%
B)8.3%
C)3.1%
D)2.7%
E)1.0%
Rationale: C. Each cat gets 1/4 as much food as a dog. A dog gets 1/8 of the food. 1/4 of 1/8 is 1/32, which is about 3.1%, so the answer is C.
Answer: C
Question: If a person walks at 12 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is:
Options:
A)50 km
B)100 km
C)60 km
D)70 km
E)80 km
Rationale: Let the actual distance travelled be x km.
x/10 = (x+20)/12
12x = 10x + 200
2x = 200
x = 100 km.
answer :B
Answer: B
Question: Solve for x: 2x â€“ y = (3/4)x + 7.
Options:
A)(y + 6)/5
B)4(y + 7)/5
C)(y + 6)
D)4(y - 6)/5
E)5/4(y-6)
Rationale: Solution:
2x â€“ y = (3/4)x + 7.
or, 2x - (3/4)x = y + 7.
or, (8x -3x)/4 = y + 7.
or, 5x/4 = y + 7.
or, 5x = 4(y + 7).
or, 5x = 4y + 28.
or, x = (4y + 28)/5.
Therefore, x = 4(y + 7)/5.
correct answer B
Answer: B
Question: When positive integer R is divided by 6 the remainder is 3. Which of the following CANNOT be an even integer?
Options:
A)a. k + 1
B)b. k -11
C)c. 4k + 2
D)d. (k-3)/3 +2
E)e. R/3
Rationale: When positive integer R is divided by 6 the remainder is 3
So, R could equal 3, 9, 15, 21, etc
let's TEST R =3
a.3+ 1 = 4 (EVEN)
b.3-11 = -8 (EVEN)
c. 4(3) + 2 = 14 (EVEN)
d. (3-3)/3 +2 = 2 (EVEN)
At this point, we can already see the answer must be E.
Let's check E forfun
e.3/3 = 1 (ODD)
Great!
Answer: E
Answer: E
Question: A hemispherical bowl is made of 0.5 cm thick steel. Inner radius of the bowl is 4 cm. The volume of steel used in making the bowl is
Options:
A)55.83 cm3
B)56.83 cm3
C)113.67 cm3
D)58.83 cm3
E)None of these
Rationale: inner r= 4
outer R=4.5
formula= 2/3*22/7(R^2-r^2)
(2/3) * (22/7) *(4.5*4.5*4.5 - 4*4*4)
=56.83
ANSWER:B
Answer: B
Question: 7 people average age is 30. youngest person age is 4. find average of the people when youngest was born.
Options:
A)23
B)24
C)25
D)26
E)27
Rationale: average age of people =30
so have total age =210
before 7 years we have to deduct each person age by seven years 210-32=182
so average age would be 182/7=26
ANSWER:D
Answer: D
Question: A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Options:
A)13%
B)14%
C)44%
D)66%
E)77%
Rationale: g% = 20 + 20 + (20*20)/100
= 44%
Answer: C
Answer: C
Question: Who come next in the series ?
JAZ, LEX, NIV, POT
Options:
A)RUR
B)QUR
C)RUS
D)SUR
E)PUR
Rationale: 1st letter increases by 2
J+2=L, L+2=N,N+2=P, P+2=R
2nd letter increases by 4 for 1st 2 words, nd inc by 6 for next 2 words
A+4=E, E+4=I,I+6=O, O+6=U
3rd letter decreases by 2
Z-2=X, X-2=V, V-2=T, T-2=R
So the next word is RUR
ANSWER:A
Answer: A
Question: A ball is bought for Rs.400 and sold at a gain of 25% find its selling price?
Options:
A)A)Rs.480/-
B)B)Rs.490/-
C)C)Rs.500/-
D)D)Rs.520/-
E)E)Rs.540/-
Rationale: 100 % ------> 400 (100 * 4 = 400)
125 % ------> 500 (125 * 4 = 500)
Selling price = Rs.500/-
C
Answer: C
Question: A no. leaves a remainder 3 on division by 14, and leaves a remainder k on division by 35. How many possiblevalues can k take?
Options:
A)3
B)5
C)8
D)9
E)10
Rationale: A number leaves a remainder of 3 on division by 14, or it can be written as 14n + 3
On division by 70, the possible remainders can be 3, 17 (3 + 14), 31 (3 + 28), 45 (3 + 42), or 59 (3 + 56). The number can be of the form
70n + 3
70n + 17
70n + 31
70n + 45
70n + 59
Now, we need to divide this number by 35
70n + 3 divided by 35, the remainder will be 3.
70n + 17 divided by 35, the remainder will be 17.
70n + 31 divided by 35, the remainder will be 31.
70n + 45 divided by 35, the remainder will be 10.
70n + 59 divided by 35, the remainder will be 24.
On division by 35, the possible remainders are 3, 17, 31, 10 or 24. There are 5 possible remainders
Correct Answer: 5
B
Answer: B
Question: When sold at a 60% discount, a sweater nets the merchant a 35% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price?
Options:
A)20%
B)40%
C)50%
D)70.38%
E)100%
Rationale: we should be careful about what are we measuring % on/what is the base..
let the Marked up price =100..
Selling price= 100-60%of 100=40..
profit= 35%..
therefore the wholesale purchase cost= x.... 1.35x=40
or x=29.62...
marked price was 100 so ...
so answer is 70.38%..
D
Answer: D
Question: The total age of A and B is 16 years more than the total age of B and C. C is how many years younger than A?
Options:
A)16
B)24
C)C is elder than A
D)Data inadequate
E)None
Rationale: Solution
[(A+B) - (B+C)]	= 16
â€¹=â€ºA - C
= 16.
Answer A
Answer: A
Question: Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?
Options:
A)1448
B)1440
C)1478
D)1477
E)1432
Rationale: In the word, "MATERIAL" there are three vowels A, I, E.
If all the vowels are together, the arrangement is MTRL'AAEI'.
Consider AAEI as one unit. The arrangement is as follows.
M T R L A A E I
The above 5 items can be arranged in 5! ways and AAEI can be arranged among themselves in 4!/2! ways.
Number of required ways of arranging the above letters = 5! * 4!/2!
= (120 * 24)/2 = 1440 ways.
Answer: B
Answer: B
Question: Which of the numbers below is the odd one out
2,6,15,31,56,59,92.
Options:
A)6
B)31
C)56
D)92
E)59
Rationale: 59 is the odd man.. diff between successive no.s is a perfect square
ANSWER:E
Answer: E
Question: a+b=4,ab=3,find the sum of receiprocals of a and b
Options:
A)4/3
B)3/4
C)5/3
D)3/5
E)1/5
Rationale: 1/a+1/b=a+b/ab,
so 1/a+1/b=a+b/ab
=4/3
ANSWER:A
Answer: A
Question: An oil cylinder was 3/4th full. When THREE bottles of oil is poured into it, it is 4/5th full. How many bottles of oil
can the full cylinder hold?
Options:
A)60
B)15
C)40
D)30
E)35
Rationale: (4/5 -3/4) cylinder is filled by 3 bottles
0.8 -0.75 = 0.05 cylinder is filled by 3 bottles
1 cylinder is filled by 3/0.05 = 60 bottles
ANSWER:A
Answer: A
Question: A wooden box of dimensions 8 m x 7 m x 6 m is to carry rectangularboxes of dimensions 8 cm x 7 cm x 6 cm. The maximum number ofboxes that can be carried in the wooden box, is
Options:
A)9800000
B)1000000
C)7500000
D)1200000
E)None of these
Rationale: Explanation: Number = (800*700*600)/8*7*6 = 1000000 Answer: B
Answer: B
Question: Due to construction, the speed limit along an 9-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Options:
A) 5
B) 7
C) 10
D) 15
E) 24
Rationale: 9/35 - 9/55 = 9/5 * ( 11 - 7)/77
= 9/5 * 4/77 * 60 min
= 9 * 12 * 4/77
= 432/77 ~ 5.6
Answer - B
Answer: B
Question: The largest number of four digits exactly divisible by 77 is
Options:
A)9768
B)9933
C)9988
D)9944
E)9955
Rationale: Explanation: Find the remainder when 10000 is divided by 77. Then subtract that remainder from 10000.
77) 10000 (12
77
230
154
760
693
67
So 10000 â€“ 67 = 9933 is exactly divisible by 77.
ANSWER IS B
Answer: B
Question: There are 280 doctors and nurses at a hospital. If the ratio of doctors to nurses is 5 to 9, how many nurses are at the hospital?
Options:
A)165
B)170
C)175
D)180
E)185
Rationale: The number of nurses at the hospital is (9/14)*280=180.
The answer is D.
Answer: D