divelab/Sys2Bench huggingface dataset:
Question: The area of a square playground is A square feet and the perimeter is p feet. If 4A=8p+36, what is the perimeter of the playground, in feet?
Options:
A)28
B)40
C)36
D)56
E)64
Rationale: You can also solve this via using the given numbers in the answer choices!
Of course you need to be aware of the basic properties as outlined by the other posts above (a = x^2 and p = 4x)
Starting with D you will notice that x=14 is way too big for your area (14^2) and will not satisfy: 4A=8p+36 or A=2p+9
--> Eliminate D and E
Now pick C (its either too big, then its A, or too small then you know its C or it is B itsself)
And picking C indeed solves the problem! (36/4 --> 9; a= 9^2 = 81 and 81=2x36+9)
Answer: C
Question: An event manager has ten patterns of chairs and eight patterns of tables. In how many ways can he make a pair of table and chair?
Options:
A)100
B)80
C)110
D)64
E)None of these
Rationale: Explanation :
He has has 10 patterns of chairs and 8 patterns of tables
Hence, A chair can be arranged in 10 ways and
A table can be arranged in 8 ways
Hence one chair and one table can be arranged in 10 x 8 ways = 80 ways. Answer : Option B
Answer: B
Question: If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling nine books ?
Options:
A)2025
B)2677
C)1800
D)2778
E)76611
Rationale: Explanation:
Least Cost Price = Rs. (200 * 9) = Rs. 1800.
Greatest Selling Price = Rs. (425 * 9) = Rs. 3825.
Required profit = Rs. (3825 - 1800) = Rs. 2025.
Answer: A) 2025
Answer: A
Question: At a dinner party, 7 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
Options:
A)1) 5
B)2) 720
C)3) 724
D)4) 732
E)5) 120
Rationale: for number of distinct arrangements of 'n' items around a circular table, we get the arrangements by way of (n-1)!
in this case, there are 7 guests, so number of distinct arrangements = 6! = 720
Answer : B
Answer: B
Question: Two trains of equal lengths take 10 sec and 15 sec, respectively, to cross a telegraph post. If the length of each train is 120 m, in what time will they cross each other, travelling in opposite directions?
Options:
A)17 sec
B)12 sec
C)18 sec
D)19 sec
E)52 sec
Rationale: Speed of the first train = 120/10 = 12 m/sec.
Speed of the second train = 120/5 = 8 m/sec.
Relative speed = 12 + 8 = 20 m/sec.
Required time = (120 + 120)/20 = 12 sec.
Answer: B
Answer: B
Question: A box contains 3 yellow balls and 6 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black?
Options:
A)4/7
B)3/5
C)5/8
D)2/3
E)3/4
Rationale: Each ball has an equal chance (1/9) of being selected fourth.
The probability that a black ball is selected fourth is 6/9 = 2/3.
The answer is D.
Answer: D
Question: A certain no. when divided by 95 leaves a remainder 25, what is the remainder if the same no.be divided by 15?
Options:
A)3
B)4
C)6
D)8
E)9
Rationale: Explanation:
95 + 25 = 120/15 = 8 (Remainder)
D
Answer: D
Question: If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability R that this product will be a multiple of 45?
Options:
A)1/32
B)1/28
C)1/24
D)1/16
E)1/14
Rationale: There are 3 single digit multiple of 3, that is, 3,6,9.
There are 8 prime nos less than 20 - 2,3,5,7,11,13,17,19
Total outcome - 8*3 = 24
Favourable outcome = 1 (9*5)
Hence required probability R= 1/24. Answer C.
Answer: C
Question: Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $504 per week. How much does she earn in dollars per hour?
Options:
A)2
B)8
C)9
D)14
E)24
Rationale: Explanation:
Total hours worked = 8 x 3 + 6 x 2 = 36
Total earned = 504. Hourly wage = 504 / 36 = 14
Answer: D
Answer: D
Question: Kamal will complete work in 20 days. If Suresh is 25% more efficient than Kamal, he can complete the work in --- days.
Options:
A)14
B)16
C)18
D)20
E)22
Rationale: Explanation :
Work done by Kamal in 1 day = 1/20
Work done by Suresh in 1 day = (1/20) × (125/100) = 5/80 = 1/16
=> Suresh can complete the work in 16 days
Answer : Option B
Answer: B
Question: The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers ?
Options:
A)12/35
B)35/12
C)45/12
D)4/9
E)6/15
Rationale: Let the numbers be a and b. Then, a + b = 12 and ab = 35.
a + b/ab	=12/35
1/b+	1/a=	12/35
Sum of reciprocals of given numbers =12/35
answer E
Answer: E
Question: Danny and Steve are running towards each other, each one from his own house. Danny can reach Steve's house in 31 minutes of running, which is half the time it takes Steve to reach Danny's house. If the two started to run at the same time, how much time longer will it take Steve to reach the halfway point between their houses than Danny to reach the halfway point between their houses?
Options:
A)15.5 minutes
B)31 minutes
C)35 minutes
D)62 minutes
E)93 minutes
Rationale: Danny's time is 31 minutes. The time to reach halfway is 15.5 minutes.
Steve's time is 62 minutes. The time to reach halfway is 31 minutes.
The time difference is 31 - 15.5 = 15.5 minutes
The answer is A.
Answer: A
Question: Twenty percent of the skiers that tried out for the ski patrol were selected. Of those that were not selected, 20 skiers were CPR certified and 28 were not. How many skiers tried out for the ski patrol?
Options:
A)40
B)50
C)60
D)70
E)80
Rationale: Not Selected = 80%
If total is x.
Then 0.8x=20+28=48
x=60
Hence answer is C.
Answer: C
Question: A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?
Options:
A)222
B)377
C)277
D)400
E)281
Rationale: 2*12 : 3*12 : 4*24
1: 3: 4
1/8 * 3200 = 400
Answer: D
Answer: D
Question: Find the sum of divisors of 544 which are perfect squares.
Options:
A)32
B)64
C)42
D)21
E)None of these
Rationale: 544= 25 + 171 =(2)0+(2)1+(2)2+(2)3+(2)4+(2)5 x (17)0 + (17)1.
Here 20=1 =11 A perfect Square,
22 and 24=16=44 are perfect Squares, Hence,
1 + 4 + 16= 21. Correct answer is : D
Answer: D
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Options:
A)320 m
B)350 m
C)650 m
D)750 m
E)None of these
Rationale: Speed = 300/18 = 50/3 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/39 = 50/3
3x + 900 = 1950 => x = 350 m.
ANSWER:B
Answer: B
Question: Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 50 years. What is Deepak present age
Options:
A)14
B)15
C)33
D)22
E)23
Rationale: Explanation:
Present age is 4x and 3x,
=> 4x + 6 = 50 => x = 11
So Deepak age is = 3(11) = 33
Answer: Option C
Answer: C
Question: The profit earned by selling an article for Rs.753 is equal to the loss incurred when the same article is sold for Rs.455.What should be the sale price for making 50% profit ?
Options:
A)706
B)786
C)906
D)896
E)696
Rationale: Let C.P =Rs. x
Then as given, (753 - x ) = (x - 455) 2x = 1208 x = 604
There fore S.P= 150% of 604 => Rs. = Rs.906
ANSWER:C
Answer: C
Question: A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 140, how much must C pay as his share of rent?
Options:
A)45
B)36
C)55
D)65
E)none
Rationale: Sol.
A : B : C = 10 * 7 : 12 * 5 : 15 * 3 = 70 : 60 : 45 = 14 : 12 : 9.
âˆ´ Câ€™s rent = Rs. [140 * 9/35] = Rs. 36.
Answer B
Answer: B
Question: A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 10% on conveyance. If his savings at the end of the month is Rs. 1200, then his salary per month in rupees is:
Options:
A)12000
B)6000
C)8000
D)10000
E)None of these
Rationale: Total expenditure = 40 + 25 + 15 + 10 = 90%
Saving = (100 - 90) = 10%
10/100 × Salary = 1200, Salary = 12000 Rs.
Answer:A
Answer: A
Question: If |x^2 − 12| = x, which of the following could be the value of x?
Options:
A)–4
B)–3
C)1
D)2
E)3
Rationale: Here ONE important point is that LHS is positive, so RHS will also be positive, SO x will be +IVE..
A and B are eliminated..
Now try to substitute remaining choices
C. 1
|x^2 − 12| = x..
|1^2-12|=1.. 11=1.. NO
D. 2
|x^2 − 12| = x..
|2^2-12|=2.. 7=2.. NO
E. 3
|x^2 − 12| = x..
|3^2-12|=3.. 3=3.. YES
ANSWER:E
Answer: E
Question: We invested a total of $1,000. We invested one part of the money at 3% and the rest of the money at 5%. The total investment with interest at the end of the year was $1,046. How much money did we invest at 3%?
Options:
A)$200
B)$240
C)$280
D)$320
E)$360
Rationale: Let x be the money invested at 3%.
1.03x+1.05(1000-x)=1046.
0.02x=1050-1046.
0.02x=4.
2x=400.
x=200.
The answer is A.
Answer: A
Question: Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 5.5 km apart, if they walk in the same direction?
Options:
A)11 hrs
B)14 hrs
C)15 hrs
D)17 hrs
E)None
Rationale: Sol.
to be 0.5 km apart, they take 1 hour.
To be 5.5 km apart, they take [1/0.5 * 5.5] hrs = 11 hrs.
Answer A
Answer: A
Question: You have a bag of 9 letters: 3 Xs, 3 Ys and 3 Zs. You are given a box divided into 3 rows and 3 columns for a total of 9 areas. How many different ways can you place one letter into each area such that there are no rows or columns with 2 or more of the same letter?
Options:
A)5
B)6
C)9
D)12
E)18
Rationale: Consider one particular arrangement of the first row: XYZ, then we can construct only two boxes with so that no rows or columns have 2 or more of the same letter:
XYZ
YZX
ZXY
And:
XYZ
ZXY
YZX
Now, the first row itself can be arranged in 3!=6 ways (since there are three distinct letter), hence the total number of boxes possible is 2*6=12.
Answer: D.
Answer: D
Question: In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
Options:
A)32%
B)42%
C)52%
D)62%
E)72%
Rationale: Total = 100
T= 40 NT= 60
40*(60/100)=24 60*(40/100)=24
24 + 24 = 48 => 100 - 48 = 52%
ANSWER:C
Answer: C
Question: A man buys an article for rs.27.50 and sells it for rs.28.50. find his gain %.
Options:
A)4%
B)5%
C)3.5%
D)5.5%
E)4.5%
Rationale: sol. cp=rs27.50, sp=rs 28.50
gain=rs(28.50 –27.50)=rs1.10
so gain%={(1.10/27.50)*100}=4%
Answer is A.
Answer: A
Question: 1/2+[(2/3*3/8)+4]-7/16=
Options:
A)29/16
B)19/16
C)69/16
D)9/13
E)0
Rationale: 1/2+[(2/3*3/8)+4]-7/16=
1/2+[(1/4)+4]-7/16=
1/2+[17/4]-7/16=
8/16 + 68/16 - 7/16 = 69/16
C
Answer: C
Question: In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 7 : 32. In the company, what is the maximum number of non-managers in a department that has 9 managers?
Options:
A)39
B)40
C)41
D)42
E)43
Rationale: 9/7 * 32 = 41.1
The answer is C.
Answer: C
Question: Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?
Options:
A)Rs. 1(2/9)
B)Rs. 2(2/9)
C)Rs. 2(1/9)
D)Rs. 3(2/7)
E)Rs. 4(2/9)
Rationale: Here r = 10 % ,x = 100 and A = 5 kg
Actual price of sugar = 10*100/((100-10 )*5) = Rs. 2(2/9)
B
Answer: B
Question: A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
Options:
A)100
B)277
C)2987
D)278
E)271
Rationale: Relative speed of the thief and policeman = 11 - 10 = 1 km/hr.
Distance covered in 6 minutes = 1/60 * 6 = 1/10 km = 100 m.
Distance between the thief and policeman = 200 - 100 = 100 m.
Answer: A
Answer: A
Question: Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
Options:
A)2500 m^2
B)2510 m^2
C)2520 metre sq
D)2540 m^2
E)2590 m^2
Rationale: Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) m2 = 2520 m^2
C
Answer: C
Question: A credit card number has 6 digits (between 1 to 9). The first two digits are 12 in that order, the third digit is bigger than 8, the forth is divisible by 3 and the fifth digit is 3 times the sixth. How many different credit card numbers exist?
Options:
A)27
B)9
C)72
D)112
E)422
Rationale: {1}{2}{greater than 6}{divisible by 3}{3x}{x}:
The third digit can take 1 values: 9.
The fourth digit can take 3 values: 3, 6, or 9.
The fifth and sixth digits can take 3 values: 31, 62, or 93.
Total = 1*3*3 = .
Answer: B.
Answer: B
Question: Set S consists of 5 values, not necessarily in ascending order: {4, 8, 12, 16, x}. For how many values of x does the mean of set S equal the median of set S?
Options:
A)Zero
B)One
C)Two
D)Three
E)More than three
Rationale: There could be 3 medians of this set.
8 , when x <8
x , when 8<=x<=12
and
12, when x>12
There could be 1 mean = (40+x)/5
Now, we can solve (40+x)/5 = 8 , x, 12 to find out values.. and if valid values are found that solution counts.
We get x= 0 ,10, 20. Hence 3 solutions.
Ans D
Answer: D
Question: An inspector rejects 0.02% of the meters as defective. How many will he examine to reject 2?
Options:
A)A)1500
B)B)10000
C)C)2500
D)D)3000
E)E)3100
Rationale: Let the number of meters to be examined be x
Then, 0.02% of x = 2
(2/100)*((1/100)*x = 2
x = 10000
Answer is B
Answer: B
Question: A train travels from station A to station B. If the train leaves station A and makes 75 km/hr, it arrives at station B 48 minutes ahead of scheduled. If it made 50 km/hr, then by the scheduled time of arrival it would still have 40 km more to go to station B. Find the distance between the two stations.
Options:
A)210
B)200
C)220
D)230
E)240
Rationale: Let x be the scheduled time for the trip from A to B. Then the distance between A and B can be found in two ways. On one hand, this distance equals 75(x−4860) km. On the other hand, it is 50x+40 km. So we get the equation:
75(x−4860)=50x+40
x=4 hr is the scheduled travel time. The distance between the two stations is 50⋅4+40=240 km.
Answer is E.
Answer: E
Question: A train , having a length of 330 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that of the train
Options:
A)10 sec
B)18 sec
C)6 sec
D)4 sec
E)2 sec
Rationale: Explanation:
Distance = 330 m
Relative speed = 60+6 = 66 kmph (Since both the train and the man are in moving in opposite direction)
= 66×10/36 mps = 110/6 mps
Time = distance/speed =330/(110/6) = 18 s
Answer: Option B
Answer: B
Question: When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 40?
Options:
A)7
B)21
C)34
D)47
E)55
Rationale: Số thẻ number given is N = 143Q + 45
If this number is divided by 13, the remainder would be R[(143Q + 45)/13]
Since 143 is divisible by 13 , the product 143Q gives no remainder
This means the remainder of 45/13 should be the remainder of the entire number N
which is 6
To make it divisible by 13 , the smallest number that can be added =40 - 6 = 34
Correct Option : C
Answer: C
Question: Mariah has decided to hire three workers. To determine whom she will hire, she has selected a group of 20 candidates. She plans to have one working interview with 3 of the 20 candidates every day to see how well they work together. How many days will it take her to have working interviews with all the different combinations of job candidates?
Options:
A)520
B)120
C)300
D)30
E)333
Rationale: 520.
Answer A
Answer: A
Question: The tax on a commodity is diminished by 20% and its consumption increased by 25%. The effect on revenue is?
Options:
A)2% decrease
B)8% decrease
C)9% decrease
D)0% No change
E)2% decrease
Rationale: 100 * 100 = 10000
80 * 125 = 10000
-----------
10000-----------0
100-----------? => 0% No change
Answer: D
Answer: D
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Options:
A)78.2 km/hr
B)89.2 km/hr
C)73.2 km/hr
D)79.2 km/hr
E)73.7km/hr
Rationale: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 8 => x = 8y
(x + 264)/20 = y
y = 22
Speed = 22 m/sec = 22 * 18/5 = 79.2 km/hr.
Answer: D
Answer: D
Question: A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 5, which can be repeated. If the product of the digits in the area code must be odd, how many different codes can be created?
Options:
A)20
B)22
C)24
D)1
E)30
Rationale: Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes only the product of 555 will be odd, the remaining 26 will have either 2 or 4 in them, which ensures that their product will be even. Therefore the number of codes where the product of the digits is even = (total) - (restriction) = 27 - 26 = 1.
Answer: D.
Answer: D
Question: A salesman commission is 5% on all sales upto $10000 and 4% on all sales exceeding this. He remits $31100 to his parent company after deducting his commission. Find the total sales?
Options:
A)$30000
B)$32500
C)$35120
D)$41520
E)$25460
Rationale: Let his total sales be x
Total sales - commission = $31100
x - [(5% of 10000)+4% of (x-10000)] = 31100
x-500-(x-10000)/25 = 31100
x = 32500
Answer is B
Answer: B
Question: Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 170 cookies, what percent of the cookies did Nell bake?
Options:
A)0.125%
B)1.25%
C)11.7%
D)125%
E)0.152%
Rationale: 9.18x+5.17x+2.05x = 16.4x = 170 cookies
x= 170/16.4 = 10 (approx)
So, Nell baked 10*2.05 cookies or 20 cookies (approx)
% share = 20/170 = 11.7 approx
Hence, answer is C.
Answer: C
Question: Shreyas bought an article and sold it for 112% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.42750/-?
Options:
A)Rs.24600
B)Rs.38169
C)Rs.38989
D)Rs.23200
E)None of these
Rationale: Explanation:
112% of CP = Rs.42750
:. CP = Rs.42750x100/112 = Rs.38169.
Answer: Option B
Answer: B
Question: If x and y are perfect squares, then which one of the following is not necessarily a perfect square?
Options:
A)x^2
B)xy
C)4x
D)x+y
E)x^5
Rationale: If x=y=1^2=1, then each option but D is a perfect square, therefore D is NOT necessarily a perfect square.
Answer: D.
Answer: D
Question: A certain university will select 1 of 4 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
Options:
A)42
B)70
C)140
D)180
E)315
Rationale: 1 of 7 will be chosen for the math
2 of 10 will be chosen for the computer
None of the 3 chosen people can be in more thn one deparments.
We can choose any of the 4 candidates for the math dep., which gives as 4 selections.
We can choose 2 of the 10 candidates for the computer dep., which gives us 2 selections and 8 rejections.
So, the way to find how many different selections of 2 candidates we can have for the computer dep., we do:
10! /2!*8!= (9*10) / 2 = 90 / 2 = 45.
We are multiplying our individual selections: 4*45 = 180
In the bolded part, we don't have to multiply all of the numbers, as those in 8! are included in 10!, so we simplify instead.
Ans D
Answer: D
Question: A family consists of six members P, Q, R, S, T and U. There are two married couples. Q is a doctor and the father of T. U is grandfather of R and is a contractor. S is grandmother of T and is a housewife. There is one doctor, one contractor, one nurse, one housewife and two students in the family. Which of the following is definitely a group of male members ?
Options:
A)QU
B)UU
C)QI
D)QH
E)HS
Rationale: Explanation:
Q, the Doctor, is the father of T. S, the Housewife, is the grandmother of T and hence the mother of Q. Since there are only two married couples one being that of Q, the grandfather of R. i.e, U must be married to S. Thus, R and T will be both children of Q and these must be the students So, P, who remains, shall be the wife of Q and she alone can be the nurse. Thus, U must be the contractor
Clearly, for definite the males are Q, the father and U, the grandfather
Answer: A) QU
Answer: A
Question: What is the area of square field whose side of length 7 m?
Options:
A)225
B)662
C)772
D)882
E)49
Rationale: 7 * 7
= 49 sq m
Answer:E
Answer: E
Question: What is 5 2/3 - 3 5/4 divided by 5/2 - 7/6 ?
Options:
A)2
B)6
C)4
D)5
E)1
Rationale: 5 2/3 - 3 5/4 = 17/3 - 20/4 = (68 - 60 )/12 = 8/12 = 4/3
5/2 - 7/6 = (15-7)/6 = 8/6 = 4/3
So 4/3/4/3 = 1
Answer - E
Answer: E
Question: √6 percent of 6√6 =
Options:
A)0.3
B)0.25
C)0.1
D)0.95
E)0.35
Rationale: The other solutions are great, but here's one more approach.
First, we scan the answer choices to see that they are quite spread apart. This means we can also use someAPPROXIMATION
All test-takers must memorize the following approximations:
√2 ≈ 1.4
√3 ≈ 1.7
√5 ≈ 2.2
√6 ≈ 2.4
So, √6 percent of 6√6 ≈ 2.4 percent of (6)(2.4)
≈ (2.4/100)(14.4)
≈ 34.56/100
≈ 0.34
Check the answer choices to see that E is the only answer that's close.
Answer: E
Answer: E
Question: The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Options:
A)16/35
B)16/37
C)16/39
D)16/33
E)18/31
Rationale: If both agree stating the same fact, either both of them speak truth of both speak false.
Probability = 1/5 * 4/7 + 4/5 * 3/7
= 16/35
Answer:A
Answer: A
Question: A sum of money place at compound interest doubles itself in 3 years. In how many years will it amount to eight times itself?
Options:
A)7
B)8
C)9
D)10
E)11
Rationale: 100 ---- 200 ---- 3
400 ---- 3
800 ---- 3
------
9 years
Answer: C
Answer: C
Question: The cost of the paint is Rs. 36.50 per kg. If 1 kg of paint covers 16 squares feet, how much will it cost to paint outside of a cube having 8 feet each side?
Options:
A)Rs. 692
B)Rs. 768
C)Rs. 876
D)Rs. 972
E)None
Rationale: Solution
Surface area of the cube	= (6 ×82)sq.ft
= 384 sq.ft.
Quantity of paint required	= (384 / 16)kg
‹=›24 kg.
Cost of painting	= Rs.(36.50 ×24)
= Rs. 876.
Answer C
Answer: C
Question: The amount of water (in ml) that should be added to reduce 15 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is?
Options:
A)8 ml
B)5 ml
C)4 ml
D)6 ml
E)10 ml
Rationale: 7.5 7.5
30% 70%
30% ----- 7.5
70% ------? => 17.5 - 7.5 = 10 ml
Answer:E
Answer: E
Question: CP of one kg apple is Rs.9 and thereby loses 20%. At what price per kg, we should have sold them to make a profit of 5%?
Options:
A)10
B)11.81
C)11.92
D)12.4
E)12.56
Rationale: SP=9Loss=20%CP=100(100−Loss%)×SP=100(100−20)×9=10080×9=54×9to make a profit of 5%,SP=100+Gain%100×CP=(100+5)100×CP=105100×54×9=105100×54×9=2120×54×9=214×14×9=18916=11.81
B
Answer: B
Question: 517 + 5.017 + 0.517 + 5.0017 = ?
Options:
A)558.3657
B)527.5357
C)229.6357
D)629.5637
E)629.6753
Rationale: 517
5.017
0.517
+ 5.0017
--------
527.5357
---------
Answer is B.
Answer: B
Question: A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ?
Options:
A)30 min
B)23 min
C)25 min
D)28 min
E)40 min
Rationale: (A+B) in 1 min = 1/60 + 1/40 = 1/24
x min then x/2(1/24+1/40) = 1
(x/2) x (1/15) = 1 ==> x = 30 min
ANSWER A
Answer: A