divelab/Sys2Bench huggingface dataset:
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Options:
A)19
B)70
C)27
D)29
E)20
Rationale: Let C.P. = Rs. 100. Then, profit = Rs. 320, S.P. = Rs. 420
New C.P. = 125% of Rs. 100 = Rs. 125.
New S.P. = Rs. 420
Profit = 420 - 125 = Rs. 295
Required percentage = 295/420 * 100 = 1475/21 = 70%.Answer: B
Answer: B
Question: Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 65 kilometers, Maxwell's walking speed is 2 km/h, and Brad's running speed is 3 km/h. What is the distance traveled by Maxwell when they meet in the middle?
Options:
A)25
B)23
C)22
D)24
E)26
Rationale: Consider Max starts from Point A and Brad Starts from Point B and move towards each other.
Assume they shall meet at point O after Time 'T'. The question asks us to find OA.
From the question stem we can make out :- Distance OA = 50km - Distance OB
=> 2xT = 65 - 3xT (i.e distance =Speed x Time)
=> 5T = 65
Hence T = 13
OA = 2x 13 = 26 Km
Answer : E
Answer: E
Question: How many 1/3 pound paperback books together weigh 25 pounds?
Options:
A)35
B)50
C)60
D)75
E)80
Rationale: Explanation:
If each book weighs 1/3 pound, then 1 pound = 3 books. We can set up a proportion to solve: 1 pound / 3 books = 25 pounds / x books. Now cross-multiply:
(1)(x) = (3)(25)
X = 75
Answer :(D)
Answer: D
Question: One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
Options:
A)3/13
B)3/12
C)3/11
D)3/12
E)3/18
Rationale: Explanation:
Clearly, there are 52 cards, out of which there are 12 face cards.
P (getting a face card) = 12/52=3/13.
Answer: A
Answer: A
Question: A certain culture of bacteria quadruples every hour. If a container with these bacteria was half full at 11:00 a.m., at what time was it one-eighth full?
Options:
A)10:00 a.m.
B)7:00 a.m.
C)6:00 a.m.
D)4:00 a.m.
E)2:00 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 11:00 a.m -1 hour = 10:00 a.m.
Answer: A.
Answer: A
Question: A person takes 20 minutes more to cover a certain distance by decreasing his speed by 20%. What is the time taken to cover the distance at his original speed?
Options:
A)1 hour 30 minutes
B)1 hour 23 minutes
C)1 hour 20 minutes
D)1 hour 28 minutes
E)1 hour 26 minutes
Rationale: Let the distance and original speed be d km and k kmph respectively.
d/0.8k - d/k = 20/60 => 5d/4k - d/k = 1/3
=> (5d - 4d)/4k = 1/3 => d = 4/3 k
Time taken to cover the distance at original speed
= d/k = 4/3 hours = 1 hour 20 minutes.
Answer:C
Answer: C
Question: Which of the following are divisible by both 2 and 3?
I. 234,124,422
II. 88,865,544,274
III. 5,555,554,673
Options:
A)I​ only
B)I and II​
C)II and III
D)II Only
E)I​ and III
Rationale: III. is not divisible by 2 since the last digit is odd so we eliminate option C and E, we are left with option A, B and D
Among option I and II lets check the divisibility of 3
I. is divisible by 3 since sum of the digits is 24 , which is divisible by 3
II. is not divisible by 3 since sum of the digits is not divisible by 3
Thus among the given options only (A) holds true.
Answer: A
Answer: A
Question: Three numbers are in the ratio 3:5:8. The largest number value is 152. Find difference between Smallest & largest number is?
Options:
A)16
B)90
C)38
D)95
E)78
Rationale: Explanation:
== 3:5:8
Total parts = 16
= The largest number value is 152
= The largest number is = 8
= Then 8 parts -----> 152 ( 8 * 19 = 152 )
= smallest number = 3 & Largest number = 8
= Difference between smallest number & largest number is = 8 - 3 = 5
= Then 5 parts -----> 95 (5 * 19 = 95)
Answer: Option D
Answer: D
Question: Andrew grossed $530 one week by working 49 hours. His manager pays him time-and-a-half for all hours worked in excess of 35 hours. What is Andrew's regular hourly wage?
Options:
A)$10 per hour
B)$15 per hour
C)$5 per hour
D)$12 per hour
E)$20 per hour
Rationale: Denote by x the regular hourly wage.
Then 1.5x is the hourly overtime wage.
For 35 hours, Andrew received a salary of 35x.
For 49-35=12 hours, he received 12(1.5x)=18x
Total salary: 35x+18x=53x which equals $530.
53x=530 implies x=10 (Andrew receives $10 per hour)
Answer A 10.
Answer: A
Question: 4, 12, 48, 240, 1440,10080,80640 (...)
Options:
A)7620
B)10080
C)6200
D)10020
E)725760
Rationale: Explanation :
Go on multiplying the given numbers by 3, 4, 5, 6, 7,8,9
Answer : Option E
Answer: E
Question: When positive integer x is divided by positive integer y, the result is 59.32. What is the sum E of all possible 2-digit remainders for x/y?
Options:
A)560
B)616
C)672
D)728
E)784
Rationale: ans B 616...
remainders = .32=32/100=8/25=16/50 and so on..
so two digit remainders are 16+24+32+....+96..
E=8(2+3+4....+12)=616.B
Answer: B
Question: If Albert’s monthly earnings rise by 27%, he would earn $567. If, instead, his earnings rise by only 26%, how much (in $) would he earn this month?
Options:
A)643
B)652
C)562
D)578
E)693
Rationale: =567/1.27∗1.26
=562=562
Answer is C
Answer: C
Question: If cement, gravel and sand are to be mixed in 7:10:13 and 9 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available.
Options:
A)38 7/8
B)36
C)38 4/7
D)34 5/7
E)34 6/7
Rationale: Cement:Gravel:Sand = 7:10:13 --> total of 7+10+13 = 30 parts.
If we use 9 tons of cement, then we'll get 9/7*30 = 38 4/7 tons of mixture.
Answer: C.
Answer: C
Question: The speed of a subway train is represented by the equation z=s^2+2s for all situations where 0≤s≤7, where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving. In kilometers per hour, how much faster is the subway train moving after 7 seconds than it was moving after 4 seconds?
Options:
A)4
B)9
C)39
D)48
E)63
Rationale: Given: z=s^2+2s for 0≤s≤7
z(4) = 4^2 + 2*4 = 24
z(7) = 7^2 + 2*7 = 63
Therefore z(7) - z(3) = 63 - 24 = 39 km/hr
Option C
Answer: C
Question: The ratio of male to female in a class is 2:3. the career preference of the students in the class are to be represented in a circle graph. If the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one of the males and one of the females in the class?
Options:
A)a)160 degree
B)b) 168 degree
C)c)191 degree
D)d)72 degree
E)e)204 degree
Rationale: let the common ratio be x.. so M=2x and F=3x and Total=5x
1 of M= 2x and 1 of F= 3x..
Total preferring that carrer =5x
Now 5x= 360, so x=360/5=72..
so x*8/3= 72*8/3=192
D
Answer: D
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
Options:
A)160
B)175
C)180
D)195
E)205
Rationale: Suppose the man works overtime for x hours.
Now, working hours in 4 weeks = (5 * 8 * 4) = 160.
Therefore, 160 * 2.40 + x * 3.20 = 432
=> 3.20x = 432 - 384 = 48
=> x = 15.
Hence, total hours of work = (160 + 15) = 175.
ANSWER:B
Answer: B
Question: A certain airline's fleet consisted of 70 type A planes at the beginning of 1980. At the end of each year, starting with 1980, the airline retired 3 of the TYPE A planes and acquired 4 new type B plans. How many years did it take before the number of type A planes left in the airline's fleet was less than 50 percent of the fleet?
Options:
A)7
B)8
C)9
D)10
E)11
Rationale: Let x be the number of years.
4x > 70 - 3x
7x > 70
x > 10
The answer is E.
Answer: E
Question: Calculate Rebecca's average score in an exam if she obtained the following marks 70, 57, 69, 89 and 85 out of 100 in different subjects.
Options:
A)74
B)94
C)54
D)84
E)64
Rationale: Explanation:
(70+57+69+89+85)/5=74
Answer: Option A
Answer: A
Question: In a simultaneous throw of 2 dice, what is the probability of getting a total of 8?
Options:
A)3/17
B)7/36
C)1/36
D)5/36
E)7/17
Rationale: n(S) = 6*6 = 36
E = event of getting a total of 8 = {(2,6),(3,5),(4,4),(5,3),(6,2)}
probability = 5/36
Answer is D
Answer: D
Question: In how many different ways can the letters of the word 'DETAIL' be arranged such that the consonants must occupy only the even positions?
Options:
A)None of these
B)64
C)120
D)36
E)360
Rationale: D
3 consonants DTL can be arranged in 3!=6 ways. Similarly 3 vowels can be arranged on odd places in 3!=6 ways.
Total = 6*6 = 36.
Answer: D.
Answer: D
Question: A lemonade stand sold only small and large cups of lemonade on Tuesday. 4/5 of the cups sold were small and the rest were large. If the large cups were sold for 7/6 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?
Options:
A)(a) 7/16
B)(b) 7/15
C)(c) 10/21
D)(d) 7/31
E)(e) 1/2
Rationale: A simpler way i guess would be to think that in total 5 cups were sold. Out of which 4 are small and 1 is large. Now let the small ones cost $6. so the large ones would cost $7.
So,
4*6=24 and 1*7=7.
Total revenue was 24+7=31
and Large cup sales as found above is 7
Therefore answer is 7/31
D
Answer: D
Question: What is the greatest of 3 consecutive integers whose sum is 36?
Options:
A)12
B)13
C)14
D)15
E)16
Rationale: 36 / 3 = 12
The three numbers are 11, 12, and 13.
The answer is B.
Answer: B
Question: On the first of the year, James invested x dollars at Proudstar bank in an account that yields 2.5% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year?
Options:
A)22.04%
B)16.12%
C)8%
D)18.25%
E)10.5%
Rationale: Per quarter, interest = 2.5% So for a year, interest = 10% Due to quarter cumulation, effective yield (YTM) would be slight higher than 10% Answer = 10.5% =ANSWER:E
Answer: E
Question: The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue, in dollars, from the sale of cars priced at $ 15,000?
Options:
A)50,000
B)750,000
C)850,000
D)7,500,000
E)750,000,000
Rationale: number of cars sold = x=800000-50y
y=15000
x=800000-750000=50000
revenue from 50000 cars=15000*50000=750000000
ANSWER:E
Answer: E
Question: 7, 26, 63, 124, 215, 342, (....)
Options:
A)481
B)391
C)511
D)421
E)452
Rationale: Explanation :
The series is (2^3 - 1), (3^3 - 1), (4^3 - 1), (5^3 - 1), (6^3 - 1), (7^3 - 1), ...
Hence, next number is (8^3 - 1) = 511
Answer : Option C
Answer: C
Question: 240 candies are distributed to children with the same number of candies for each child. What can’t be the range which includes the number of children?
Options:
A)1~10
B)10~20
C)20~30
D)55~65
E)65~75
Rationale: 240 = 2^4*3*5
There are factors in each range except for 65~75
The answer is E.
Answer: E
Question: The average weight of 9 person's increases by 5.5 kg when a new person comes in place of one of them weighing 86 kg. What might be the weight of the new person?
Options:
A)72 kg
B)77.5 kg
C)135.5 kg
D)Data inadequate
E)None of these
Rationale: Total weight increased = (9 x 5.5) kg = 49.5 kg.
Weight of new person = (86 + 49.5) kg = 135.5 kg.
Answer: Option C
Answer: C
Question: The radius of a circle is increased by 1%. Find how much % does its area increases?
Options:
A)2.06
B)2.09
C)2.03
D)2.01
E)2.02
Rationale: r = 100 r = 101
r2 = 10000 r2 = 10201
10000 ---- 201
100 ---- ? => 2.01%
Answer:D
Answer: D
Question: A and B are two multiples of 14, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 12 multiples of 14, how many multiples of 7 are there in Q?
Options:
A)20
B)21
C)22
D)23
E)24
Rationale: Halfway between the multiples of 14, there will be another multiple of 7.
The total number of multiples of 7 is 12+11 = 23.
The answer is D.
Answer: D
Question: what is the remainder when 89001 is divided by 18
Options:
A)3
B)8
C)9
D)4
E)6
Rationale: 89001 / 18
89001 / 9*2
9889 / 2 => rem = 1
we have cancelled it by 9
reqd remainder = 9*1 = 9
ANSWER:B
Answer: B
Question: Arrange the given words in the sequence in which they occur in the dictionary and choose the correct sequence.
Options:
A)3, 5, 2, 1, 4
B)3, 5, 2, 1, 8
C)3, 5, 2, 1, 2
D)3, 5, 2, 1, 5
E)3, 5, 2, 5, 5
Rationale: Explanation:
The correct alphabetical order is
Each, Eager, Earlier, Economic, Edition
ANSWER: A
Answer: A
Question: What will be the day of the week 15th August, 2010?
Options:
A)Thursday
B)Sunday
C)Monday
D)Saturday
E)Friday
Rationale: Explanation:
15th Aug 2010 = (2009 years + period from 1-Jan-2010 to 15-Aug-2010)
We know that number of odd days in 400 years = 0
Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)
Number of odd days in the period 2001-2009
= 7 normal years + 2 leap year
= 7 x 1 + 2 x 2 = 11 = (11 - 7x1) odd day = 4 odd day
Days from 1-Jan-2010 to 15-Aug-2010
= 31 (Jan) + 28 (Feb) + 31 (Mar) + 30 (Apr) + 31(may) + 30(Jun) + 31(Jul) + 15(Aug)
= 227
227 days = 32 weeks + 3 day = 3 odd day
Total number of odd days = (0 + 4 + 3) = 7 odd days = 0 odd day
0 odd day = Sunday
Hence 15th August, 2010 is Sunday.
Answer: Option B
Answer: B
Question: A man can row a boat at 10 kmph in still water and the speed of the stream is 8 kmph. What is then time taken to row a distance of 90 km down the stream ?
Options:
A)8hrs
B)5 hrs
C)15 hrs
D)15 hrs
E)20 hrs
Rationale: Speed in down stream = 10 +8 = 18
Time taken to cover 90 km down stream = 90/18 = 5 hrs.
ANSWER:B
Answer: B
Question: The angles of a triangle are in the ratio 1:9:8. Find the measurement of the largest of three angles of triangle.
Options:
A)90°
B)100°
C)120°
D)140°
E)160°
Rationale: If the ratio of the three angles is 1:9:8, then the measures of these angles can be written as x, 9x and 8x. Also the sum of the three interior angles of a triangle is equal to 180°. Hence
x + 9x + 8x = 180
Solve for x
18x = 180
x = 10
The measures of the three angles are
x = 10°
9x = 9 × 10 = 90°
8x = 8 × 10 = 80°
A
Answer: A
Question: Two brothers Ram and Ravi appeared for an exam. The probability of selection of Ram is 1/7 and that of Ravi is 1/5. Find the probability that both of them are selected.
Options:
A)1/35
B)2/3
C)7/35
D)5/7
E)7/5
Rationale: Let A be the event that Ram is selected and B is the event that Ravi is selected.
P(A) = 1/7
P(B) = 1/5
Let C be the event that both are selected.
P(C) = P(A) x P(B) as A and B are independent events:
= 1/7 x 1/5 = 1/35
ANSWER:A
Answer: A
Question: Person X joins a job at 20 yrs. First 3 years salary = 10,000 p.a. Afterwards every year increment of 2,000 per year for 10 years. Then salary becomes constant till retirement. At retirement average salary is 25,000. (throughout career). At what age he retires?
Options:
A)50
B)60
C)40
D)70
E)80
Rationale: Let age of retirement = x
so according to the given condition 25000*(x-20)
=10000*3+12000+14000+16000+18000+20000+22000+24000+26000+28000+30000+30000(x-33)
= 30000+210000+30000x-990000
= 30000x-750000
or 25000x-500000=30000x-750000
or 5000x = 250000
or x = 50
ANSWER:A
Answer: A
Question: If 25% of the 880 students at a certain college are enrolled in biology classes, how many students at the college are NOT enrolled in a biology class?
Options:
A)500
B)600
C)620
D)640
E)660
Rationale: We know 25 % people study biology,therefore the no of people not studying = 100 - 25 = 75%
> Therefore the people not studying biology out of a total 880 people are = 75 % of 880
> (75/100)*880 = 660 people
E
Answer: E
Question: The area of a square is 4761 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
Options:
A)5:28
B)5:19
C)15:12
D)5:13
E)15:46
Rationale: Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm.
a2 = 4761
a = 69
L = 2a and b = a - 24
b : l = a - 24 : 2a = 45 : 138
= 15:46
Answer:E
Answer: E
Question: The ratio between the length and the breadth of a rectangular park is 1 : 3. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
Options:
A)124545 m
B)134561 m
C)156787 m
D)15450 m
E)120000 m
Rationale: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.
60
Let length = 1x metres and breadth = 3x metres.
Then, 2(1x + 3x) = 1600 or x = 200.
Length = 200 m and Breadth = 600 m.
Area = (600 x 200) m2 = 120000 m
E
Answer: E
Question: Calculate the average of first 12 even numbers is?
Options:
A)15
B)14
C)12
D)11
E)13
Rationale: Explanation:
Sum of 12 even numbers = 12 * 13 = 156
Average = 156/12 = 13
Answer: Option E
Answer: E
Question: Jessica can text 75 words per minute, while Maurice can text 10 words per minute. An abridged English translation of Tolstoy’s War and Peace contains 410,400 words. Working together, how many days will it take Jessica and Maurice to text the entire abridged translation of War and Peace?
Options:
A)0.3
B)1.3
C)3.5
D)9
E)11.3
Rationale: Since the answer choices are reasonably spaced out, we can approximate and save time
Combined words per day = 85*60*24 which should be something close to 122400 (i.e 100*25*60)
410400/122400 will be closest to only 3.5,
So, Answer should be C.
Answer: C
Question: How many positive integers less than 23 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4?
Options:
A)17
B)25
C)24
D)22
E)20
Rationale: 8 prime numbers less than 28: {2, 3, 5, 7, 11, 13, 17, 19}
2 odd multiples of 5: {5, 15}
9 numbers which are the sum of a positive multiple of 2 and a positive multiple of 4: {6, 8, 10, 12, 14, 16, 18, 20, 22}
Notice, that 5 is in two sets, thus total # of integers satisfying the given conditions is 8+1+9-1=17.
Answer: A.
Answer: A
Question: At a certain high school, the senior class is three times the size of the junior class. If 1/3 of the seniors and 3/4 of the juniors study Japanese, what fraction of the students in both classes study Japanese?
Options:
A)1/2
B)3/8
C)5/16
D)1/4
E)7/16
Rationale: Start by deciding on a number of students to represent the number of students in the senior class. For this example I will choose 300 students. That would make the number of students in the junior class 100. Then we can find out how many students are taking Japanese in each grade and add them together. (1/3)*300=100 and (3/4)*100=75. 100+75=175. There are a total of 400 students in the junior class and senior class combined (100+300=300), and there are 175 total students in Japanese, so 175 students in Japanese / 400 total students equals 7/16 of the students in both classes that study Japanese.
Answer: E
Answer: E
Question: A can do a piece of work n 7 days of 9 hours each and B alone can do it in 6 days of 7 hours each. How long will they take to do it working together 8 2/5 hours a day?
Options:
A)4 days
B)3 days
C)5 days
D)6 days
E)8 days
Rationale: B
3 days
A can complete the work in (7*9) = 63 days
B can complete the work in (6*7) = 42 days
--> A’s one hour’s work = 1/63 and B’s one hour work = 1/42.
(A+B)’s one hour work = 1/63+1/42 = 5/126
Therefore, Both can finish the work in 126/5 hours.
Number of days of 8 2/5 hours each = (126*5/(5*42)) = 3 days
Answer: B
Question: If the ratio of apples to bananas is 5 to 2 and the ratio of bananas to cucumbers is 1 to 4, what is the ratio of apples to cucumbers?
Options:
A)1:3
B)2:5
C)3:5
D)5:8
E)4:7
Rationale: The ratio of bananas to cucumbers is 1 to 4 which equals 2 to 8.
The ratio of apples to bananas to cucumbers is 5 to 2 to 8.
The ratio of apples to cucumbers is 5 to 8.
The answer is D.
Answer: D
Question: If s and t are integers and s^2 – t^2 is an odd integer, which of the following must be an even integer?
I. s + t + 2
II. s^2 + 2st + t^2
III. s^2 + t^2
Options:
A)None
B)I only
C)II only
D)III only
E)I, II, and III
Rationale: s^2–t^2 is an odd integer means that either s is even and t is odd or s is odd and t is even.
Check all options:
I. s + t + 2 --> even+odd+even=odd or odd+even+even=odd. Discard;
II. s^2 + 2st + t^2 --> even+even+odd=odd or odd+even+even=odd. Discard;
III. s^2 + t^2 --> even+odd=odd or odd+even=odd. Discard.
Answer: A.
Answer: A
Question: A new savings account offers 8 percent annual interest compounded every 6 months. What would be the total balance in an account after 1 year, if the initial amount in the account were $6000?
Options:
A)$80.00
B)$84.40
C)$360.00
D)$6,360.00
E)$6,489.60
Rationale: The interest is compounded every 6 months. To calculate interest, you must take the principal and multiply it by the interest and the length of time (using the unit used in the interest, typically years). At the end of the first 6 months the interest earned is $6,000(.08) (1/2) = $240(Note: the 6 months are “1/2” in the equation since 8% is a yearly rate, not a bi-yearly one).
Since the interest is compounded, the second six months of the year are not earning interest on just the original $6,000, but on the interest as well, so they are actually earning interest on $6,240. The interest earned during the final 6 months of the year is $6,240(.08)(1/2) = $249.6. Therefore, the total balance is the original amount ($6000) + $240 + $249.60 = $6,489.60.
The correct answer is E.
Answer: E
Question: The cost of 200 kgs. of sugar is Rs.3000. What is the cost of3.525 kgs. of sugar?
Options:
A)Rs.54
B)Rs.48.875
C)Rs.55
D)Rs.52
E)Rs.52.875
Rationale: Explanation:.
The cost of 3.525kgs. of sugar = 3000x 3.525/200= Rs.52.875
Answer: Option:E
Answer: E
Question: A,B,C can do a piece of work in 11days, 20days and 55days respectively, working alone. How soon can the work be done if A is assisted by B and C on alternate days?
Options:
A)2
B)4
C)8
D)10
E)12
Rationale: A+B 1day work = 1/11 + 1/20 = 31/220
A+C 1day work = 1/11 + 1/55 = 6/55
work done in 2 days = 31/220 + 6/55 = 55/220 = 1/4
1/4 work is done by A in 2days
Whole work will be done in 2*4 = 8days
Answer is C
Answer: C
Question: A grocery shop has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Options:
A)4857
B)4184
C)4012
D)4991
E)5291
Rationale: Let the sale in the sixth month =x
Then
(6435+6927+6855+7230+6562+x)/6 =6500
=>6435+6927+6855+7230+6562+x =6×6500
=> 34009+x=39000
=> x=39000−34009
=4991
ANSWER:D
Answer: D
Question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
A)45%
B)50%
C)57%
D)64%
E)78%
Rationale: Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57%
C
Answer: C
Question: A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ?
Options:
A)9, 46
B)9, 50
C)10, 46
D)10, 50
E)10, 56
Rationale: Explanation:
We have : A = 3B ...(i) and
C - 4 = 2 (A - 4) ...(ii)
Also, A + 4 = 31 or A= 31-4 = 27.
Putting A = 27 in (i), we get: B = 9.
Putting A = 27 in (ii), we get C = 50.
Answer: B
Answer: B
Question: Two numbers are in the ratio 3 : 4. If their L.C.M. is 96. what is sum of the numbers?
Options:
A)48
B)56
C)76
D)84
E)85
Rationale: Explanation:
Let the numbers be 3x and 4x
LCM of 3x and 4x = 12x (Since LCM of 3 and 4 is 12. Hence LCM of 3x and 4x is 12x)
Given that LCM of 3x and 4x is 96
=> 12x = 96
=> x = 96/12 = 8
Sum of the numbers
= 3x + 4x
= 7x
= 7 x 8 = 56
Answer: Option B
Answer: B