divelab/Sys2Bench huggingface dataset:
Question: The average monthly salary of the employees of a firm is Rs.60 out of the employees 12 officers get an average of Rs.400 per month and the rest an average of Rs. 56 per month , Find the number of emp
Options:
A)3278
B)1028
C)1022
D)1029
E)1032
Rationale: Actual average salary of 12 officers = 400
Total salary of 12 officers = 400 x 12 = 4800
Average of these 12 officers as a whole =60
Total salary of 12 officers as a whole = 60 x 12 = 720
The total salary of rest = 4800 - 720 = 4080
Difference in average of the rest of officers = 60 - 56 = 4
Rest of the officers = {4080}/{4}=1020
Total number of employees = 1020 + 12 = 1032
Answer:E
Answer: E
Question: Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
Options:
A)2400
B)2429
C)2980
D)2707
E)2872
Rationale: First persons investment = x
Second persons investment = x + 1000
Third persons investments = x + 2000
x + x + 1000 + x + 2000 = 9000
3x = 6000
x = 2000
Ratio = 2000 : 3000 : 4000
2:3:4
4/9 * 54000 = 2400
Answer:A
Answer: A
Question: 400 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
Options:
A)10
B)12
C)14
D)16
E)18
Rationale: 26 trees have 25 gaps between them,
Required distance (400/25) = 16
D
Answer: D
Question: If the sum of two numbers is 45 and the H.C.F and L.C.M of these numbers are 4 and 5 respectively, then the product of the reciprocals is equal to:
Options:
A)20/20
B)1/1
C)2/30
D)11/20
E)1/20
Rationale: Let the numbers be a and b.
Then, a + b = 45 and ab = 5 * 4 = 20.
Required product = 1/a * 1/b = 1/ab = 1/20= 1/20.
ANSWER:E
Answer: E
Question: Two trains are traveling on a collision course. If train A is traveling at a speed of 350 mph and train B is traveling 28% slower, how much time will it take the trains to collide if the initial distance between the two is 1505 miles?
Options:
A)Two hours and 30 minutes
B)One hour and 10 minutes
C)Two hours and 25 minutes.
D)Three hours and 15 minutes
E)Four hours and 20 minutes
Rationale: let S1 and S2 be the speeds of train A and B
S1 is 350 and S2=28% less = 252
time taken = S1+S2/1505
which is
1505/602 =x
where 2<x<3
therefore C !!
Answer: C
Question: The average of first nine prime numbers:
Options:
A)5.6
B)11.1
C)12.9
D)6.3
E)7.4
Rationale: Explanation:
The first ten prime numbers is 2, 3, 5, 7, 11, 13, 17, 19, 23
Average = 100/9 = 11.11
Answer: Option B
Answer: B
Question: How many two-element subsets of <1, 2,3,4,5,6,7,8,9> are there that do not contain the pair of elements 2 and 4?
Options:
A)21
B)22
C)24
D)35
E)36
Rationale: 9C2 - 1 = 35 Answer is D
Answer: D
Question: John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Options:
A)16%
B)16.66%
C)18%
D)19%
E)21%
Rationale: Increase = (10/60)*100 = (1/6)*100 = 16.66%.
B
Answer: B
Question: One ton has 2600 pounds, and one pound has 16 ounces. How many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons?
Options:
A) 2080
B) 1700
C) 2350
D) 2500
E) 8000
Rationale: 16 pounds and 4 ounces= 16*16 + 4 = 260 ounces.
13 tons = 13*2600 pound = 13*2600*16 ounces.
Hence the answer is (13*2600*16)/260 = 2080.
Answer: A.
Answer: A
Question: When the price of a pressure cooker was increased by 15%, the sale of pressure cookers decreased by 15%. What was the net effect on the sales?
Options:
A)15% decrease
B)no effect
C)2.25% increase
D)2.25% decrease
E)None of these
Rationale: Net effect on sale = −(common%change)2/100
= −(15)2/100= 2.25% decrease
Answer D
Answer: D
Question: There are 43 stations between Ernakulam and Chennai. How many second class tickets have to be printed, so that a passenger can travel from one station to any other station?
Options:
A)1980
B)1920
C)1990
D)1890
E)1900
Rationale: The total number of stations= 45
From 45 Stations we have to choose any two stations and the direction of travel (Ernakulam to Chennai is different from Chennai to Ernakulam) in 45P2 ways.
45P2= 45*44= 870
ANSWER:A
Answer: A
Question: What is the average of 1200, 1300, 1400, 1510, 1520, 1530, 1115, 1120, and 1125?
Options:
A) 1345
B) 1334
C) 1313.33
D) 1350
E) 1325
Rationale: Add 1200, 1300, 1400, 1510, 1520, 1530, 1115, 1120, and 1125
Grouping numbers together may quicken the addition
sum = 11820
11820/9 =1313.33
C
Answer: C
Question: What no. should be subtracted from x^3+4x^2−7x+12x^3+4x^2−7x+12, if it is to be perfectly divisible by x+3x+3?
Options:
A)17
B)42
C)46
D)54
E)56
Rationale: According to remainder theorem when dfracf(x)x+adfracf(x)x+a, then the remainder is f(−a)f(−a).
In this case, as x+3x+3 divides x3+4x2−7x+12–kx3+4x2−7x+12–k perfectly (kk being the number to be subtracted), the remainder is 0 when the value of xx is substituted by -3.
i.e., (−3)3+4(−3)2−7(−3)+12−k=0(−3)3+4(−3)2−7(−3)+12−k=0
or −27+36+21+12=k−27+36+21+12=k
or k=k= 42
B
Answer: B
Question: 1, 3, 4, 7, 11, 18, 29, ?
What number should replace the question mark?
Options:
A)33
B)54
C)24
D)35
E)47
Rationale: E
47
Each number is the sum of the previous two numbers, ie 18 + 29 = 47.
Answer: E
Question: It is required to fix a pipe such that water flowing through it at a speed of 7 metres per minute fills a tank of capacity 110 cubic metres in 10 minutes. The inner radius of the pipe should be :
Options:
A)√2 m
B)2 m
C)1⁄2 m
D)1⁄√2 m
E)None of these
Rationale: Let inner radius of the pipe be r.
Then, 110 = 22⁄7 × r2 × 7 × 10
or r2=110/22×10=1/2
or r = 1/√2 m
Answer D
Answer: D
Question: The cost of a car is 400% greater than the cost of a bike. If there is an increase in the cost of the car is 15% and that of bike 20%. Then the total increase in the cost of the 5 cars and 10 bikes is:
Options:
A)17.5%
B)16(3/7)%
C)18.5%
D)18.25%
E)None
Rationale: Solution: Let the bike's initial cost be X and then car's initial cost be 5X.
After the increase,
Bike price = 1.2X
Car price = 5.75X
Initial total cost of 5 cars and 10 bikes,
= 25X+10X = 35X
New cost,
= 28.75X+12x = 40.75X
Change in cost = (40.75X-35X) = 5.75X
% change = (5.75X*100)/35 = 16(3/7)%.
Answer: Option B
Answer: B
Question: What is the area of square field whose side of length 17 m?
Options:
A)225
B)662
C)772
D)289
E)21
Rationale: 17 * 17
= 289 sq m
Answer:D
Answer: D
Question: Last year John earned m dollars at company X and was promised an n-percent raise for this year. If John is paid the promised amount and a $10,000 bonus at the end of this year, by what percent has his total salary(including his bonus) increased this year over last in terms of n and m?
Options:
A)(mn + 10000)/m %
B)(n + 10000)/m %
C)(mn + 100,000)/100m %
D)(mn + 1,000,000)/100m %
E)(mn + 1,000,000)/m %
Rationale: Old Salary = m dollars
New salary = M (1 + n/100) + 10,000
Net increase = m*n/100 + 10,000
Percentage change = (mn/100 + 10,000)*100/m
= (mn + 1,000,000)/m%
Answer: E.
Answer: E
Question: Manoj borrowed Rs.3450 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Ramu?
Options:
A)5352
B)5355
C)5328
D)5312
E)5128
Rationale: Let the sum lent by Manoj to Ramu be Rs.P.
Amount gained by Manoj = P. 3.9 /100 = 3450.3.6/100 = Rs.824.85
27P = 62100 = 82485
P = (82485 + 62100)/27 = 3055 + 2300 = Rs.5355
Answer: B
Answer: B
Question: In a division sum, the quotient is 120, the divisor 456 and the remainder 333, find the dividend?
Options:
A)23504
B)34545
C)55053
D)23434
E)23456
Rationale: Explanation:
120 * 456 + 333 = 55053
C
Answer: C
Question: A cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?
Options:
A)27 hrs
B)29 hrs
C)28 hrs
D)90 hrs
E)98 hrs
Rationale: 1/9 - 1/x = 1/10
=> 90 hrs
Answer:D
Answer: D
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 50000, then the share of B is?
Options:
A)23077
B)24000
C)24005
D)24009
E)24002
Rationale: Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6
Total profit = Rs. 50000
Share of B = 6/13 (50000) = Rs. 23076.92~ 23077
Answer: A
Answer: A
Question: What percent of 14 is 14 percent of 1?
Options:
A) 0.001
B) 0.01
C) 0.1
D) 101
E) 1
Rationale: 14 % of 1 = (14/100) * 1 = 14/100
To determine what percentage of 14 this is :
[14][/100*14] *100 = 1%
Ans : E
Answer: E
Question: A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1628?
Options:
A)s.109
B)s.108
C)s.110
D)s.103
E)s.102
Rationale: 3x 4x 5x
6 9 4
18x + 36x + 20x = 1628
74x = 1628 => x = 22
5x = 110 Rs.
Answer:C
Answer: C
Question: In the line xy plane line m has the equation y = 3x - 9, then the line m passes through which of the following points?
Options:
A)(3, 1)
B)(3, 4)
C)(4, 2)
D)(6, 9)
E)(6, 15)
Rationale: Yes it is y=3x-8....extremely sorry for mistake....
IF that's the case then answer is D
y=3x-8
9=3X6-9
9=18-9
9=9 (satisfied)
Answer: D
Question: 10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ?
Options:
A)4 hours a day
B)5 hours a day
C)6 hours a day
D)7 hours a day
E)8 hours a day
Rationale: Explanation:
More Men, Less Hours {Indirect Proportion}
Less Days, More Hours {Indirect Proportion}
[men 15 10
days 12 18] ::6:x
=>x∗15∗12=10∗18∗6
=>x=10∗18∗6/ 15∗12
=>x=6
Option C
Answer: C
Question: If p is an odd integer, which of the following must also be odd?
Options:
A)4p + 4
B)p + p
C)3p + 3
D)2p + p
E)p^2 + 1
Rationale: Things to keep in mind:
Odd + odd = even
Odd + even = odd
Odd*odd = odd
Odd*even = even
On checking each option
A. 4p + 4
4p = even, 4p + 4 = even + even = even.
B. p + p
Odd + odd = even. This will be even
C. 3x + 3
3x = odd, 3x + 3 = odd + odd = even
D. 2p + p
2p = even, 2p + p = even + odd = odd
E. p^2 + 1
p^2 = odd, p^2 + 1 = odd + odd = even
Correct option: D
Answer: D
Question: In a LAB experiment, a 100 ml compound of element X and element Y needs to be increased to 240 ml by adding some quantity of element X, and some quantity of element Y. If the original compound contains 30% of element X, how much (in ml) of element Y must be added so that element X will be exactly one third of the resulting mixture ?
Options:
A)40 ml
B)100/3 ml
C)20 ml
D)90 ml
E)10 ml
Rationale: There are 0.3*100=30 ml of element X in the initial solution.
We need X to be 1/3rd of 240 ml in the resulting solution, so 80 ml. Thus out of 140 ml of solution added, 50 must be X (in order it to become 80 ml) ans the remaining 90 must be Y.
Answer: D
Answer: D
Question: The ratio of men to women in the Snyder community choir is 4 to 5. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many men's are in the Snyder choir?
Options:
A)20
B)25
C)30
D)33
E)34
Rationale: This question has a number of patterns in it that we can take advantage of. We can also TEST THE ANSWERS (but we can actually eliminate most of the answer choices rather quickly.
We're told that the ratio of the Men to Women in the Snyder choir is 4 to 5, so the number of men MUST be a multiple of 4 and the number of women MUST be a multiple of 4 The question asks how many MEN are in the SNYDER choir, so the answer MUST be a multiple of 4. We can eliminate Answers B,C, D and E (since they're NOT multiples of 4.
Answer A
Answer: A
Question: From the beginning to the end of 2007, the price of a stock rose 20 percent. In 2008, it dropped 25 percent. In 2009, it rose 25 percent. What percent of the stockâ€™s 2007 starting price was the price of the stock at the end of 2009?
Options:
A)80
B)90
C)95
D)100
E)112.5
Rationale: Assume a value at the beginning of 2007. As this is a % question, assume P=100.
At the end of 2007 it becmae = 1.2*100=120
At the end of 2008 it decreased by 25% = 120*.75 = 90
At the end of 2009 it increased by 25% = 90*1.25 = 112.5
Thus ratio = 112.5/100 = 1.125 (in % terms = 12.5%). Thus E is the correct answer.
Answer: E
Question: Joey is planning to throw a small party and for that he needs to do the following tasks:
I. Decide guest list
II. Send invites
III. Arrange catering
IV. Decide the venue
V. Rent a music system
The tasks can be done in any order as long as the invites are sent after the guest list is decided. In how many ways can Joey do the five tasks listed above?
Options:
A)24
B)48
C)60
D)120
E)240
Rationale: These 5 tasks can be arranged in 5! = 120 ways. In half of them invites are sentafterthe guest list is decided and in half of them before. So, there are total of 120/2 = 60 ways to arrange the task so that the invites are sent after the guest list is decided.
Answer: C.
Answer: C
Question: Operation # is defined as: a # b = 4a^2 + 4b^2 + 8ab for all non-negative integers. What is the value of (a + b) + 6, when a # b = 100?
Options:
A)5
B)8
C)10
D)11
E)17
Rationale: OFFICIAL SOLUTION:
(B) We know that a # b = 100 and a # b = 4a² + 4b² + 8ab. So
4a² + 4b² + 8ab = 100
We can see that 4a² + 4b² + 8ab is a well-known formula for (2a + 2b)². Therefore
(2a + 2b)² = 100.
(2a + 2b) is non-negative number, since both a and b are non-negative numbers. So we can conclude that 2(a + b) = 10. (a + b) + 6 = 10/2 + 6 = 11.
The correct answer is D.
Answer: D
Question: In a two-digit, if it is known that its unit’s digit exceeds its ten’s digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
Options:
A)24
B)26
C)42
D)46
E)None
Rationale: EXPLANATION
Let the ten’s digit be x.
Then, unit’s digit = x + 2.
Number = 10x + (x + 2) = 11x + 2.
Sum of digits = x + (x + 2) = 2x + 2.
(11x + 2)(2x + 2) = 144
22x2 + 26x – 140 = 0
11x2 + 13x – 70 = 0
(x – 2)(11x + 35) = 0
x = 2.
Hence, required number = 11x + 2 = 24.
Answer A
Answer: A
Question: If a pipe can fill a tank in 6 hours, find the part of tank it fills in one hour.
Options:
A)1/6
B)2/3
C)1/2
D)None of these
E)Cannot be determined
Rationale: Explanation:
Let the capacity of the tank be C litres.
Time to fill the tank = 6 hours
Hence, in 1 hour C/6 litres gets filled.
Therefore, 1/6th part of the tank gets filled in one hour.
ANSWER A
Answer: A
Question: On the xy co-ordinate plane, point C is (5,-2) and point D is (-1,2). The point on line segment CD that is twice as far from C as from D is:
Options:
A)(1,-1)
B)(1,1)
C)(2,0.25)
D)(3,0.5)
E)(3,1)
Rationale: We want the point on the line that is twice as far from C as it is from D. We can examine the x and y coordinates separately since they are independent.
*It should be noted that there are two solutions to this problem, one point between C and D, and another point with D in the middle of C and the point. We can quickly look at the answer choices and see that all the points are between C and D, therefore we can search for that point using the following method:
Taking the x-coordinate first, the distance between C and D is |(x-coordinate of C) - (x-coordinate of D)|= |5 - (-1)| = 6
The x-coordinate that is twice as far from C as it is from D (and in between C and D) will be 4 units from C and 2 units from D. So the x coordinate of the point we're looking for is 5-4 = 1, or (-1)+2 = 1.
Now looking at the y-coordinate, we do the same thing. The distance between C and D is |(-2) - 2.5| = 4.5
The y-coordinate that is twice as far from C as it is from D (and in between C and D) will be 3 units from C and 1.5 units from D. So the y coordinate of the point we're looking for is (-2)+3 = 1, or 2.5-1.5 = 1.
So now we have our coordinates of the point on the line that is twice as far from C as it is from D: (3,1)
Answer: D
Answer: D
Question: The table below shows the enrollment in various classes at a certain college.
Class | Number of Students
Biology | 80
Physics | 35
Calculus | 40
Although no student is enrolled in all three classes, 15 are enrolled in both Biology and Physics, 10 are enrolled in both Biology and Calculus, and 12 are enrolled in both Physics and Calculus. How many different students are in the three classes?
Options:
A)118
B)88
C)90
D)125
E)162
Rationale: No. of total students = no of students of biology + no of students of physics but not biology + no of students of calculus but not biology and physics
No. of total students = 80 + (35-15) + (40-10-12) = 80+20+18 = 118
Hence, Answer will be A.
Answer: A
Question: If the integer n has exactly five positive divisors, including 1 and n, how many positive divisors does n^2 have?
Options:
A)5
B)7
C)9
D)10
E)11
Rationale: take the example of 16...
it has 5 positive divisors (1,2,4,8,16)
Now, take the example of 256...
it has only 9 divisors..
so C is the ans
Answer: C
Question: A man sitting in a train which is traveling at 56 kmph observes that a goods train, traveling in opposite direction, takes 15 seconds to pass him. If the goods train is 410 m long, find its speed
Options:
A)52 kmph
B)56 kmph
C)58 kmph
D)42 kmph
E)72 kmph
Rationale: Explanation:
Relative speed = 410/15 m / sec = ((410/15)×(18/5)) kmph = 98 kmph.
Speed of goods train = (98 - 56) kmph = 42 kmph
Answer: Option D
Answer: D
Question: The bus that travels from St. Louis to Chicago and back comes to St. Louis every 3 hours while the bus that travels from St. Louis to Springfield and back comes to St. Louis every 7 hours. If at 01:00 o'clock both bused arrived at St. Louis, at what time will they meet in St. Louis again?
Options:
A)16:00.
B)18:00.
C)20:00.
D)22:00.
E)24:00.
Rationale: Time taken by bus to travel from St. Louis to Chicago and back comes to St. Louis = 3 hours
Time taken by bus to travel from St. Louis to Springfield and back comes to St. Louis = 7 hours
Time taken by both buses to meet again in St. Louis will be LCM of 3 and 7 = 21
If the buses start at 01:00 o'clock from St. Louis , they will meet again in St. Louis at 22:00 hours
Answer D
Answer: D
Question: The average marks in mathematics scored by the pupils of a school at the public examination were 39. If four of these pupils who actually scored 25, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of pupils sent up for examination from the school?
Options:
A)20
B)21
C)22
D)23
E)24
Rationale: 39x = 25 + 12 + 15 + 19 + (x – 4)44
39x = 71+44X-176
5X=105
X=21
ANSWER:B
Answer: B
Question: A shop stores x kg of rice. The first customer buys half this amount plus half a kg of rice. The second customer buys half the remaining amount plus half a kg of rice. Then the third customer also buys half the remaining amount plus half a kg of rice. Thereafter, no rice is left in the shop. Which of the following best describes the value of x?
Options:
A)2 ≤ x ≤ 6
B)5 ≤ x ≤ 8
C)9 ≤ x ≤ 12
D)11 ≤ x ≤ 14
E)13 ≤ x ≤ 18
Rationale: Explanation :
Initial quantity of the rice = x.
The first customer buys half the total rice and another half kg.
Rice purchased by first customer = (x/2) + (1/2)
So, rice left after the first customer =x - (x+1)/2 = (x-1)/2.
Now the second customer buys half the left rice and another half kg.
Rice purchased by second customer = (x-1)/4 + (1/2) = (x+1) / 4.
So, rice left after the second customer = (x-1)/2 - (x+1)/4 = (x-3)/4.
Now the third customer buys half the left rice and another half kg.
Rice purchased by third customer = (x-3)/8 + (1/2) = (x+1)/8.
So, rice left after the second customer= (x-3)/4 -(x+1)/8 = (x-7)/8
Given that (x-7) / 8 = 0 => x=7.
Answer : B
Answer: B
Question: If a - b = 3 and a(power 2) + b(power 2) = 23, find the value of ab.
Options:
A)5
B)8
C)7
D)10
E)3
Rationale: 2ab = (a(power 2) + b(power 2) - (a - b)(power 2)
= 23 - 9 = 14
ab = 7.
Answer is C.
Answer: C
Question: A soft drink company had 6000 small and 10000 big bottles in storage. If 12% of small15% of big bottles have been sold, then the total bottles remaining in storage is
Options:
A)15360
B)13780
C)15060
D)14930
E)16075
Rationale: 6000 + 10000 - (0.12*6000 + 0.15*10000) = 13780.
Answer: B.
Answer: B
Question: 1,2,3,4,5,6,7 are arranged in order of sum of consecutive numbers is prime number,how many ways we can arrange
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: 1+2 = 3 (Prime no)
2+3 =5 (Prime no)
3+4 =7 (Prime no)
5+6 =11 (Prime no)
6+7 =13 (Prime no)
ANSWER:E
Answer: E
Question: The length of a train and that of a platform are equal. If with a speed of 54 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Options:
A)299
B)266
C)450
D)750
E)261
Rationale: Speed = [54 * 5/18] m/sec = 15 m/sec; Time = 1 min. = 60 sec.
Let the length of the train and that of the platform be x meters.
Then, 2x/60 = 15 => x = 15 * 60 / 2 = 450
Answer: C
Answer: C
Question: There are 4 boys and 3 girls seated in a row.Find the probability that all girls are together?
Options:
A)1/6
B)1/7
C)2/7
D)3/7
E)4/7
Rationale: Total No. of ways boys and girls can be seated = (4 + 3)! = 7! = 5040
No. of ways that girls seated together =>
consider 3 girls as a unit nd remaining 4 boys can be seated in any order...
So (1 + 4)! = 5! = 120
And those 3 girls can be seated among themselves in 3! ways => 6
[(ie) Let g1,g2,g3 be the girls... in 6 ways they can be seated together...
g1g2g3, g1g3g2, g2g1g3, g2g3g1, g3g1g2, g3g2g1]
So prob. that all girls are together => (120 * 6)/5040 => 1/7
ANSWER:B
Answer: B
Question: Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Jose's share of profit?
Options:
A)10000
B)12000
C)13000
D)14000
E)30000
Rationale: SoL = ~s- So Anju’s share = [5/9] x 54000 = 30000
E
Answer: E
Question: A trailer carries 3, 4 and 5 crates on a trip. Each crate weighs no less than 1250 kg. What is the maximum weight of the crates on a single trip?
Options:
A)1250
B)6250
C)600
D)7500
E)375
Rationale: Max No. of crates=5.
Max Weight=1250Kg
Max. weight carried = 5*1250=6250Kg=B
Answer: B
Question: 61,52,63,94,46,.......
Options:
A)15
B)16
C)17
D)18
E)19
Rationale: Reverse the given numbers like,... 61 16 , 52 25 ...
16,25,36,49,64 these numbers are squares of 4,5,6,7,8 so next number is 9 and square of 9 is 81.
reverse of 81 is 18 so answer is 18 (61,52,63,94,46, 18 ) .
ANSWER:D
Answer: D
Question: John takes 10 hours to complete a certain job, while Bill takes only 5 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?
Options:
A)2 hours, 20 minutes
B)2 hours, 45 minutes
C)3 hours, 20 minutes
D)3 hours, 45 minutes
E)4 hours, 10 minutes
Rationale: The rate of John plus Bill is 1/10 + 1/5 = 3/10 of the job completed per hour.
If Steve worked at the same rate as John, the rate would be 3/10 + 1/10 = 2/5
The slowest possible time would be 2.5 hours.
If Steve worked at the same rate as Bill, the rate would be 3/10 + 1/5 = 1/2
The fastest possible time would be 2 hours.
The actual time is somewhere between these two extreme points.
The answer is A.
Answer: A
Question: What is the value of âˆš36% ?
Options:
A)10%
B)20%
C)30%
D)60%
E)40%
Rationale: Explanation: br>âˆš16%
=âˆš36/âˆš100
=6/10
=60/100=60%
correct answer is D)60%
Answer: D
Question: A car covers a distance of 200km in 2 hours 40 minutes, whereas a jeep covers the same distance in 2 hours. What is the ratio of t
Options:
A)3:4
B)4:3
C)4:5
D)5:4
E)8:7
Rationale: A 3:4
Answer: A