divelab/Sys2Bench huggingface dataset:
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs.441 is required to paint the floor at the rate of Rs.3/sq m, what would be the length of the floor?
Options:
A)12
B)18
C)20
D)21
E)24
Rationale: Let the length and the breadth of the floor be l m and b m respectively.
l = b + 200% of b = l + 2b = 3b
Area of the floor = 441/3 = 147 sq m
l b = 147i.e., l * l/3 = 147
l^2 = 441 => l = 21.
D
Answer: D
Question: Find the odd man out. 1, 8, 27, 64, 125, 196, 216, 343
Options:
A)64
B)196
C)216
D)1
E)146
Rationale: Explanation :
The pattern is 1^3, 2^3, 3^3, 4^3, 5^3, 6^3, 7^3.
196 is not a perfect cube
Answer : Option B
Answer: B
Question: The average age of a committee of 8 members is 40 years. A member aged 55 years retired and his place was taken by another member aged 39 years . The average age of
present committee is;
Options:
A)39 years
B)38 years
C)36 years
D)35 years
E)37 years
Rationale: Total age of the committee = 40*8 = 320,
Total age when a member is retired
and a new one was joined = 320-55 +39, =304
Average age of present committee = 304/8 = 38.
ANSWER:B
Answer: B
Question: What is the unit digit in the product (3^65 x 6^59 x 7^71)?
Options:
A)18
B)12
C)69
D)32
E)4
Rationale: Explanation:
Unit digit in 3^4 = 1 Unit digit in (3^4)16 = 1
Unit digit in 3^65 = Unit digit in [ (3^4)16 x 3 ] = (1 x 3) = 3
Unit digit in 6^59 = 6
Unit digit in 7^4 Unit digit in (7^4)17 is 1.
Unit digit in 7^71 = Unit digit in [(7^4)17 x 73] = (1 x 3) = 3
Required digit = Unit digit in (3 x 6 x 3) = 4
E
Answer: E
Question: __2A
x__B
____
CC
In the multiplication problem above, A, B, and C represent distinct digits. If the sum of A and B is equal to 3, what is the value of C?
Options:
A)6
B)5
C)4
D)3
E)2
Rationale: If A+B=3
assuming A and B are positive then A*B<10 (they could be either 1,2,)
therefore
A*B=C
2*B=C
A+B=3
Three simple equations - divide the 1st/2nd --> A=2 plug it the 3rd --> B=1 --> C=2 (ANSWER E)
Answer: E
Question: An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
Options:
A)4082.42
B)4082.38
C)4082.78
D)4082.4
E)4082.94
Rationale: Explanation:
Length of the first carpet = (1.44)(6) = 8.64 cm
Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)
= 51.84(1.4)(5/4) sq m = (12.96)(7) sq m
Cost of the second carpet = (45)(12.96 * 7) = 315 (13 - 0.04) = 4095 - 12.6 = Rs. 4082.40
Answer: Option D
Answer: D
Question: Father is 5 times faster than son. Father completes a work in 40 days before son. If both of them work together, when will the work get complete?
Options:
A)8 1/0
B)8 1/3
C)8 1/8
D)8 1/6
E)8 1/5
Rationale: As efficiency is inversely proportional to days, If Father : son's efficiency is 5 : 1, then Days taken by them should be 1 : 5. Assume, the days taken by them are k, 5k.
Given that father takes 40 days less. So 5k - k = 40 ⇒⇒ k = 10
Father takes 10 days to complete the work. Total work is 10 x 5 = 50 units.
If both of them work together, they complete 5 + 1 units a day. 6/day. To complete 50 units, they take 50/6 = 8 1/3 days.
Ans: B
Answer: B
Question: Twenty four men can do a work in 42 days. How many men are required to complete the work in 21 days?
Options:
A)20
B)10
C)50
D)40
E)48
Rationale: E
48
We have M1 D1 = M2 D2
So, 24 * 42 = M2 * 21 => M2 = 48.
Answer is E
Answer: E
Question: Siddharth wants to borrow Rs.5000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?
Options:
A)s.21.60
B)s.21.68
C)s.21.18
D)s.21.98
E)s.18
Rationale: Amount of money Siddharth borrowed at S.I at 6% p.a. for two years = Rs.5,000
He lend the same amount for C.I at 6% p.a. for two years.
=> Siddharth's income = C.I - S.I
= p[1 + r/ 100]n - p - pnr/100
= p{ [1 + r/ 100]2 - 1 - nr/100
= 5,000{ [1 + 6/100]2 - 1 - 12/100}
= 5,000 {(1.06)2- 1 - 0.12} = 5,000(1.1236 - 1 - 0.12)
= 5,000 (0.0036) = 5 * 3.6
= Rs.18
Answer: E
Answer: E
Question: Solve x2 â€“ 7x = 0
Options:
A)0,7
B)1,7
C)2,7
D)3,7
E)4,7
Rationale: This quadratic factors easily: Copyright Â© Elizabeth Stapel 2002-2011 All Rights Reserved
x2 â€“ 7x = 0
x(x â€“ 7) = 0
x = 0 or x â€“ 7 = 0
x = 0 or x = 7
The solution is x = 0, 7
ANSWER A
Answer: A
Question: Pumps A, B, and C operate at their respective constant rates. Pumps A and B, operating simultaneously, can fill a certain tank in 2 hours; pumps A and C, operating simultaneously, can fill the tank in 3/2 hours; and pumps B and C, operating simultaneously, can fill the tank in 2 hours. How many hours does it take pumps A, B, and C, operating simultaneously, to fill the tank.
Options:
A)1/3
B)1/2
C)1/4
D)1
E)5/6
Rationale: A+B =2; A+C =3/2 ,B+C =2 ; ADD THEN 2*(A+B+C) = 4+3/2 = 11/2
A+B+C = 11/4 HRS
C
Answer: C
Question: Raffle tickets numbered consecutively from 1 through 250 are placed in a box. What is the probability that a ticket selected at random will have a number with a hundreds digit of 2 ?
Options:
A)2/5
B)1/5
C)33/83
D)99/250
E)100/249
Rationale: SOLUTION
The number of integers from 1 to 250, inclusive is 250, out of which 100 (from 200 to 299) will have a hundreds digit of 2. Thus the probability is 50/250=1/5.
Answer: B
Answer: B
Question: Income of a company doubles after every one year. If the initial income was Rs. 4 lakhs.What would be the income after 5 years?
Options:
A)6.78 crores
B)1.28 crores
C)2.98 crores
D)3.78 crores
E)4.29 crores
Rationale: Income after 1 year=Rs. (4x2)lakhs
Income after 2 years= Rs. (4x2x2)lakhs
=Rs.4x4=16 lakhs
Income after 5years=Rs. (4x2^5)=Rs. 128 lakhs
=Rs. 1.28 crores
ANSWER: B
Answer: B
Question: A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
Options:
A)49
B)87
C)27
D)66
E)19
Rationale: Explanation:
Area of the wet surface = [2(lb + bh + lh) - lb]
= 2(bh + lh) + lb
= [2 (4 x 1.25 + 6 x 1.25) + 6 x 4]
= 49
Answer: A) 49
Answer: A
Question: X and Y began business with Rs.10000 and Rs.8000 after 6 months, X advances Rs.2000 and Y advances Rs.2000 more.
At the end of the year, their profits amounted to Rs.2000 find the share of X and Y respectively.
Options:
A)1000,1000
B)900,1100
C)1200,800
D)800,1200
E)1100, 900
Rationale: (10*6 + 12*6):(8*6 + 10*6)
11:9
X share = 11/20 * 2000 = 1100.
Y share = 9/20 * 2000 = 900.
X and Y share respectively is 1100 , 900. Answer: E
Answer: E
Question: We bought 85 hats at the store. Blue hats cost $6 and green hats cost $7. The total price was $530. How many green hats did we buy?
Options:
A)A)36
B)B)20
C)C)40
D)D)42
E)E)44
Rationale: Let B be the number of blue hats and let G be the number of green hats.
B+G=85.
B=85-G.
6B+7G=530.
6(85-G)+7G=530.
510-6G+7G=530.
G=530-510=20.
The answer is B.
Answer: B
Question: The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 120?
Options:
A)5
B)8
C)12
D)24
E)30
Rationale: n includes the factors 2^2 (but not 2^3) and 3 (but not 3^2 or 5)
120 = 8*3*5
The GCF is 4*3 = 12.
The answer is C.
Answer: C
Question: If M and N are positive integers that have remainders of 1 and 3, respectively, when divided by 4, which of the following could NOT be a possible value of M+N?
Options:
A)76
B)52
C)36
D)28
E)10
Rationale: M=4p+1
N=4q+3
We need M+N=4p+1+4q+3=4(p+q)+4
Pick numbers for pq
Since it is an addition of pq and the answer to this expression should be an integer (because all the numbers being added are integers),
we just need to choose values so that we get integer multiples of 6 so
p+q=0 ; M+n = 4
p+q=1 ; M+N = 8
P+q=2 ; M+N = 12
and so on, so basically you get something like - 4,8,12,16,20,24,28,..... all the other options were turning up.
Then I directly tried p+q=2because it was closer to 10, i got 12,
So Answer E.
Answer: E
Question: In his pocket, a boy has 3 red marbles, 5 blue marbles, and 6 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color?
Options:
A)10
B)11
C)12
D)13
E)14
Rationale: The worst case scenario would be that he has taken 5 blue and 6 green, a total of 11 marbles, and still doesn't have 3 distinct colors. But the next draw, marble number 12, will surely be red as only the red marbles are left in his pocket.
The answer is C.
Answer: C
Question: A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by :
Options:
A)5
B)7
C)9
D)11
E)13
Rationale: Sol.
Let the ten’s digit be x and unit’s digit be y. Then, number = 10x + y
Number obtained by interchanging the digits = 10y + x.
∴ (10x+y) + (10y + x) = 11 (x + y), which is divisible by 11.
Answer D
Answer: D
Question: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
Options:
A)290 m
B)270 m
C)220 m
D)260 m
E)250 m
Rationale: Relative speed = (72 - 36) * 5/18 = 2 * 5 = 10 mps.
Distance covered in 27 sec = 25 * 10 = 250 m.
The length of the faster train = 250 m.
ANSWER:E
Answer: E
Question: If the sum of five consecutive even positive integers is A, then the sum of the next five even consecutive integers in terms of A is:
Options:
A)A+5
B)A+10
C)A+25
D)A+50
E)2A + 5
Rationale: In Case of Consecutive Integers or Integers in Arithmetic Progression Mean = Median
I.e. Median = A/5 = Mean = Third Integer
First Integer = A/5 - 4
Second Integer = A/5 - 2
Third Integer = A/5
Fourth Integer = A/5 + 2
Fifth Integer = A/5 + 4
i.e.
Sixth Integer = A/5 + 6
Seventh Integer = A/5 + 8
Eighth Integer = A/5 + 10
Ninth Integer = A/5 + 12
Tenth Integer = A/5 + 14
Now Mean of next 5 Integers = Median = A/5 + 5
i.e. Sum of Next 5 integers = (A/5 + 10)*5 = A+50
Answer: option D
Answer: D
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is?
Options:
A)17/27
B)17/70
C)17/90
D)17/20
E)17/23
Rationale: n(S) = 20
n(Even no) = 10 = n(E)
n(Prime no) = 8 = n(P)
P(EᴜP) = 10/20 + 8/20 - 1/20 = 17/20
Answer: D
Answer: D
Question: Abby and Bobby type at constant rates of 70 words per minute and 60 words per minute, respectively. Bobby begins typing before Abby and has typed 600 words when Abby begins typing at 1:30 pm. If they continue typing at their respective rates, at what time will Abby have typed exactly 200 more words than Bobby?
Options:
A)1:40 PM
B)2:50 PM
C)2:00 PM
D)2:10 PM
E)2:20 PM
Rationale: Say time needed for Abby to type 200 more words than Bobby is t. In that time she would type 70t words and Bobby would type 60t words.
Now, total words typed by Bobby would be 600+60t and we want that number to be 200 less than 70t: 600+60t=70t-200 --> t=80.
1:30 PM + 80 minutes = 2:50 PM.
Answer: B.
Answer: B
Question: A man swims downstream 72 km and upstream 45 km taking 3 hours each time; what is the speed of the current?
Options:
A)1.5
B)3.5
C)4.5
D)2.5
E)5.5
Rationale: 72 --- 3 DS = 24
? ---- 1
45 ---- 3 US = 15
? ---- 1 S = ?
S = (24 - 15)/2 = 4.5
Answer:C
Answer: C
Question: A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 25 per metre of cloth. What is the cost price of one metre of cloth?
Options:
A)80
B)28
C)90
D)26
E)11
Rationale: Explanation:
SP of 1m of cloth = 8925/85 = Rs. 105
CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth
= Rs. 105 - Rs. 25 = Rs. 80.
Answer: A
Answer: A
Question: If 1 > 1 - ab > 0, which of the following must be true?
I. a/b > 0
II. ab < 1
III. a/b < 2
Options:
A)I only
B)II only
C)III only
D)I and II only
E)I and III only
Rationale: MANHATTAN GMATOFFICIAL SOLUTION:
You can manipulate the original compound inequality as follows, making sure to perform each manipulation on every term:
1 > 1 - ab > 0
0 > -a b > -1 Subtract 1 from all three terms.
0 < ab < 1 Multiply all three terms by -1 and flip the inequality signs.
Therefore you know that 0 < ab < 1. This tells you that ab is positive, so a/b must be positive (a and b have the same sign). Therefore, I must be true. However, you do not know whether a/b < 1, so II is not necessarily true. But you do know that ab must be less than 1, so III must be true.
Therefore, the correct answer is (D).
Answer: D
Question: {-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10}
A number is to be selected at random from the set above. What is the probability that the number will be a solution to the equation (x-2)(x+1)(2X+5) = 0?
Options:
A)1/12
B)1/6
C)1/4
D)1/3
E)1/2
Rationale: x = -1
Prob = 1/12
Answer -A
Answer: A
Question: If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum E of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
Options:
A) 6x
B) 4x
C) 5x/3
D) 3x/2
E) 3x/5
Rationale: Note that we have 5positivetemperatures.
Next, as the average is x then the sum of the temperatures is 5x and as all the temperatures are positive then the sum of the 3 greatest must be more than (or equal to) 3x (as the average of the 3 greatest must be at least x) and less than 5x: 3x<E<5x --> only option B fits.
Answer: B.
Answer: B
Question: What will be the result of 12^4+ 3 +2^9 +3 - 8/2 ?
Options:
A)58
B)14
C)145
D)69
E)74
Rationale: The multiplication(e.g. 12^4) and division(e.g. 8/2) is done first and then the sum(e.g. 48+3) and
subtraction (e.g.4-4), and the answer is 69, option D.
Answer: D
Question: A pet store holds cats and dogs. If the difference between the number of cats and the number of dogs is 7. What could be the ratio of Cats to dogs in the pet store?
Options:
A)1:3
B)1:4
C)28:35
D)2:5
E)4:6
Rationale: Say theratioof cats to dogs is a/b. Then thenumberof cats would be ax and thenumberof dogs bx, for some positive integer x.
We are told that ax - bx = 7 --> x(a - b) =7. Since 7 is a prime number it could be broken into the product of two positive multiples only in one way: x(a - b) = 1*7.
The above implies that either x = 1 and a - b = 7 or x = 7 and (a - b) = 1.
Therefore the correct answer should have the difference between numerator and denominator equal to 1 or 7.
For the original question only option which fits is E, 4:5. Cats = 7*4 = 28 and dogs = 7*5 = 35.
Answer: C.
Answer: C
Question: The average of 10 numbers is 40.2. Later it is found that two numbers have been wrongly copied. The first is 16 greater than the actual number and the second number added is 13 instead of 31. Find the correct average.
Options:
A)40.2
B)40.4
C)40.6
D)40.8
E)None of the above
Rationale: Sum of 10 numbers = 402
Corrected sum of 10 numbers
= 402 – 13 + 31 – 16 = 404
Hence, new average = 404⁄10 = 40.4
Answer B
Answer: B
Question: When the positive integer A is divided by 9 and 5, the remainder is 3 and 4, respectively. When the positive integer B is divided by 9 and 5, the remainder is 3 and 4, respectively. Which of the following must be a factor of A-B?
Options:
A)32
B)36
C)40
D)45
E)50
Rationale: A = 9k+3 = 5j+4
B = 9m+3 = 5n+4
A-B = 9(k-m) = 5(j-n)
Thus A-B is a multiple of 9 and 5, so it is multiple of 45.
The answer is D.
Answer: D
Question: The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest angle is constant). If the largest sector so formed has a central angle of 80°, what fraction of the wheel’s area is represented by the third smallest sector?
Options:
A)1/72
B)1/36
C)1/18
D)1/12
E)1/9
Rationale: Its an AP question .... it is given clearly in the question .
Let the smallest angle be a
and the circle has 8 sectors and hence 8 angle with a common difference d
hence all the angles can be written in AP form with Cd as d ,
a, a+d, a+2d, a+3d ,a+4d, a+5d, a+6d ,a+7d,
given that a+7d = 80 --------1
also
a + a+d + a+2d + a+3d +
a+4d + a+5d + a+6d + a+7d = 360 ( as sum of all the angle is 360)
which is 8a + 28d = 360 --------2
solving 1 and 2
we get a=10
We are almost done ,
now the question ask what fraction of the wheel’s area is represented by the smallest sector ?
(30/360)( pie r*r)/ (pie r*r) = 30/360= 1/12
D ans ....
Answer: D
Question: A quadratic function f(x) attains its minimum value of -15 at x=3. If f(0)=5, find the value of f(9).
Options:
A)65
B)55
C)-25
D)75
E)25
Rationale: Explanation :
Any quadratic equation can be written as f(x) = α(x-k)2 - β
Given that minimum value of f(x) is -15 at x=3
f(x) is minimum when x=k => k=3
-15=-β => β= 15
Also given that f(0) = 5
=> 5 = α(0-3)2 - 15 => α= 20/9
Hence, f(9)=20/9(9-3)2 - 15 = 65
Answer : A
Answer: A
Question: A circular garden is surrounded by a fence of negligible width along the boundary. If the length of the fence is 1/4 of th area of the garden. What is the radius of the circular garden?
Options:
A)1
B)2
C)4
D)8
E)16
Rationale: as per the question-- width is negligible
now,
let L be the length of the fence =2pir
L=1/4(pir^2)
pir^2=8pir
r=8
Answer : D
Answer: D
Question: If the horse can run 10 miles/hour, how many days would it take for a horse to run from New York City to Washington. D.C.? (240 miles from NYC to D.C.)
Options:
A)0.6
B)0.8
C)1
D)1.2
E)1.4
Rationale: The horse runs 10 miles/hour, thus it would take the horse 240 miles/10 miles/hour to = 24 hours to run from NYC to D.C. There are 24 hours in a day, so days it take would be 24hours/24hours/day = 1 day. Correct Option: 1
Answer: C
Question: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
Options:
A)4 3/8 days
B)7 3/8 days
C)9 3/8 days
D)8 3/8 days
E)11 3/8 days
Rationale: C
9 3/8 days
1/15 + 1/25 = 8/75
75/8 = 9 3/8 days
Answer: C
Question: 2^2*3^3*2^2*3^6 =
Options:
A)3^5*2^5
B)2^9*3^4
C)2^4*3^9
D)5^8
E)6^10
Rationale: 2^2*3^3*2^2*3^6 =
A) 3^5*2^5
B) 2^9*3^4
C) 2^4*3^9
D) 5^8
E) 6^10
If the base is same, powers are added so that follows C) 2^4*3^9.
Hence the answer is C
Answer: C
Question: Trapezoid JKLM in the x-y plane has coordinates J = (–2, –4), K = (–2, 1), L = (6, 7), and M = (6, –4). What is its perimeter?
Options:
A)34
B)36
C)38
D)40
E)42
Rationale: This one may look challenging initially, but all kinds of simplifying tricks. First of all, J & K have the same x-coordinate, so that’s a vertical segment, and the length is JK = 1 – (–4) = 5. L & M also have the same x-coordinate, so that’s also a vertical segment, and the length is LM = 7 – (–4) = 11. J & M have the same y-coordinate, so that’s also a horizontal segment, and the length is JM = 6 – (–2) = 8. Right there, we have the lengths of three of the four sides.
The last side to find is KL. From K = (–2, 1), we have to go over 8 and up 6 to get to L = (6, 7), so 6 and 8 the legs of the right triangle, and KL is the hypotenuse. We recognize another common Pythagorean triplet — (6, 8, 10), which is a multiple of the (3, 4, 5) triplet. Thus, without further calculations, we immediately know KL = 10.
Perimeter = JK + KL + LM + JM = 5 + 10 + 11 + 8 = 34
Answer = A
Answer: A
Question: In a garden, carrots are planted in rows. In each row there are as many carrots as the number of rows in the garden. If each plant attracts as many bunnies as the number of carrots in each row and if the total number of bunnies is n, then :
Options:
A)n is a perfect square
B)n is an odd number
C)n is an even number
D)n is a perfect cube
E)none
Rationale: For example, if there were 4 carrot rows, the garden would have a 4x4 arrangement. If each carrot attracts 4 bunnies, the number of bunnies would be (4*4)*4 = 64 pieces, which is a cube of 4.
Answer: D
Answer: D
Question: The ratio of investments of A and B is 8 : 7 and the ratio of their yearend profits is 20 : 21. If B invested for 12 months, then find the period of investment of A:
Options:
A)6 months
B)8 months
C)10 months
D)12 months
E)None
Rationale: Let A invest for x months ; A = 8x months,
B = 7 × 12 = 84 months
8x/84 = 20/21
⇒ x = 10.
Answer: C
Answer: C
Question: What is the place value of 7 in the numeral 7529
Options:
A)2500
B)3400
C)3500
D)3000
E)7000
Rationale: Option 'E'
7 * 1000 = 7000
Answer: E
Question: A woman complete a journey in 30 hours. She travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Options:
A)334 km.
B)216 km.
C)314 km.
D)224 km.
E)672 km.
Rationale: 0.5x/21 + 0.5x/24 = 30
--> x/21 + x/24 = 60
--> x = 672 km.
E
Answer: E
Question: Find the face value of 9 in 79864
Options:
A)90
B)900
C)90000
D)9000
E)9
Rationale: Face value is the value of digit itself
face value of 9 = 9
Answer : E
Answer: E
Question: A certain automobile company’s best-selling model is the Speedster. The Speedster, like all of their other models, comes in coupe and convertible styles. 2/3 of the current inventory is Speedsters, of which 4/5 are convertibles. If there are 50 vehicles that are not Speedsters, how many Speedster convertibles are there?
Options:
A)30
B)48
C)60
D)80
E)90
Rationale: Total Vehicle = 2/3 of speedster + 1/3 of others.
Speedster convertibles = 2/3 total vehicle * 4 /5
Given : 1/3 constitutes 50 Vehicles. hence 2/3 constitutes 100
Speedster convertibls = 100 * 4/5 = 80
D
Answer: D
Question: A table is bought for Rs.600/- and sold at a loss of 10% find its selling price
Options:
A)Rs.500/-
B)Rs.530/-
C)Rs.540/-
D)Rs.600/-
E)Rs.700/-
Rationale: 100 % ------> 600 (100 * 6 = 600)
90 % ------> 540 (90 * 6 = 540)
Selling price = Rs.540/-
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)15 min
C)20 min
D)25 min
E)40 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: The no 2.52, when written as a fraction and reduced to lowest terms,the sum of the numeratr n denominator is :
Options:
A)7
B)141
C)29
D)349
E)359
Rationale: the actual question has bar on decimal part. Hence the number is 2.5252525252..... .
So let x=2.525252..
then 100x= 252.525252
100x-x=250
x=250/99
so ans=num+den=349
ANSWER:D
Answer: D
Question: On a certain day, Joey, the ice-cream seller sold his ice creams to four different kids in a manner that each of the kids purchased half of the remaining ice creams and half ice-cream more.
If we tell you that the fourth kid bought just a single ice cream, can you find out how many ice creams were sold by Joey that day?
Options:
A)15
B)20
C)22
D)12
E)8
Rationale: A
Joey sold 15 ice creams that day.
The fourth kid bought a single ice cream. Therefore, we have the following equation:
Total - (Total / 2 + 1/2) = 1
Solving it, we get the total as 3.
Let's work this method till we reach the first kid.
The first kid bought 15 / 2 + 1/2 = 8 (leaving 7)
The second kid bought 7 / 2 + 1/2 = 4 (leaving 3)
The third kid bought 3 / 2 + 1/2 = 2 (leaving 1)
The fourth kid bought 1 / 2 + 1/2 = 1
Adding all of them together, we get
8 + 4 + 2 + 1 = 15.
Answer: A
Question: If f(y)=y^2 and y is a positive integer, which of the following CANNOT be the value of f(f(y))?
Options:
A)625
B)1296
C)256
D)350
E)16
Rationale: f(y)=y^2
f(f(y)) = (y^2)^2 = y^4
Therefore f(f(y)) will be numbers that are 4th power of other numbers.
Checking the options:
625 = 6^4
1296 = 6^4
256 = 4^4
350. This cannot be written as the 4th power of any number
16 = 2^4
Answer: D
Answer: D
Question: A can complete the job in 5 hours and B can complete the same job in 3 hours. A works for 1 hour and then B joins and both complete the job. What fraction of the job did B complete
Options:
A)1/8
B)3/10
C)1/2
D)5/6
E)8/9
Rationale: A=1/8
Answer: A