divelab/Sys2Bench huggingface dataset:
Question: A total of 324 coins of 20 paise and 25 paise make a sum of Rs. 71. The number of 25-paise coins is
Options:
A)120
B)124
C)144
D)200
E)220
Rationale: Explanation:
Let the number of 20-paise coins be x. Then, number of 25-paise coins = (324 - x).
Therefore 0.20 x x + 0.25 (324 - x) = 71 20x + 25 (324 - x) = 7100
5x= 1000 x = 200. Hence, number of 25-paise coins = (324 - x) - 124.
Answer:B
Answer: B
Question: There are 600 students in a school. The ratio of boys and girls in this school is 3:5. Find the total of girls & boys are there in this school?
Options:
A)225
B)257
C)375
D)380
E)390
Rationale: In order to obtain a ratio of boys to girls equal to 3:5, the number of boys has to be written as 3 x and the number of girls as 5 x where x is a common factor to the number of girls and the number of boys. The total number of boys and girls is 600. Hence
3x + 5x = 600
Solve for x
8x = 600
x = 75
Number of boys
3x = 3 × 75 = 225
Number of girls
5x = 5 × 75 = 375
C
Answer: C
Question: If a person walks at 15 km/hr instead of 9 km/hr, he would have walked 20 km more. The time traveled by him is?
Options:
A)8 hours
B)9/5 hours
C)10/3 hours
D)6 hours
E)11/3 hours
Rationale: Let the actual distance traveled be x km. Then,
x/9 = (x + 20)/15
5x - 3x = 60 =>x = 30 km.
travel time is = 30/9 hours = 10/3 hours
Answer :C
Answer: C
Question: A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, C receives:
Options:
A)s. 14,000
B)s. 14,200
C)s. 4,400
D)s. 8,400
E)s. 4,800
Rationale: Let C = x.
Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.
So, x + x + 5000 + x + 9000 = 50000
3x = 36000
x = 12000
A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.
C's share = Rs. (35000 x 12/50) = Rs. 8,400.
D
Answer: D
Question: The value of ((x – y)³ + (y - z)³ + (z – x)³)/(21 (x – y) (y – z) (z – x))
is equal to :
Options:
A)0
B)1/12
C)1/7
D)1/4
E)1/3
Rationale: Since (x – y) + (y – z) + (z – x) = 0,
so (x – y)³ + (y – z)³ + (z – x)³= 3 (x – y) (y – z) (z – x).
(3 (x – y) (y – z) (z – x))/(21(x – y) (y – z) (z – x)) = 1/7.
ANSWER:C
Answer: C
Question: A box contains 1 red balls and 5 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)1/4
B)1/2
C)1/2
D)5/8
E)2/3
Rationale: My complicated version of your simple approach
Let the 5 black balls be BBBBB and 1 Red Balls be R
They can be arranged in 6 slots _ _ _ _ _ _ _ _
in (6!)/ (5!x1!)
If the fourth slot is Black ball then the arrangement will be to fill
_ _ _ B _ _ _ _
we have 5 slots and 4 Black (BBBB) and 1 Red (R)
They can be arranged in (5!)/ (4!x1!)
Hence required probability = [(6!)/ (5!x1!)]/[(5!)/ (4!x1!)]
=6/5
C
Answer: C
Question: How many different ways can a group of 8 people be divided into 4 teams of 2 people each?
Options:
A)56
B)105
C)75
D)120
E)112
Rationale: The required answer is = 8!/(4!*2!*2!*2!*2!) = 105
Answer is B
Answer: B
Question: As part of her MBA program, Karen applied for three different Spring Break outreach projects, each of which selects its students by a random lottery of its applicants. If the probability of her being accepted to each individual project is 60%, what is the probability that Karen will be accepted to at least one project?
Options:
A)4/5
B)19/25
C)37/50
D)98/125
E)117/125
Rationale: Since the probability of Karen's being accepted to each individual project is 60%, the probability of her not being accepted to each project is 40%. The probability that she will be accepted to none is, therefore, (2/5)*(2/5)*(2/5)=8/125.
P(Karen will be accepted to at least one project) = 1 - (8/125) = 117/125.
The answer is E.
Answer: E
Question: Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 22 years. What is Deepak present age?
Options:
A)22
B)15
C)77
D)266
E)12
Rationale: Present age is 4x and 3x,
=> 4x + 6 = 22 => x = 4
So Deepak age is = 3(4) = 12
Answer: E
Answer: E
Question: An urn contains 4 white 6 black and 8 red balls .Three balls are drawn at random from the bag.the probability that all of them are white are????
Options:
A)4/24
B)8/24
C)7/24
D)1/24
E)6/24
Rationale: 4c3/18c3=4/816=1/24
ANSWER:D
Answer: D
Question: If a, b, c, d, e and f are integers and (ab + cdef) < 0, then what is the maximum number A of integers that can be negative?
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: Minimuum should be 1
Maximum should be 4:
1 out of a or b to make the multiplication negative
3 out of c, d, e or f to make the multiplication negative.
Negative+Negative<0
Answer:C
maximum will be 5..
you dont require both the multiplicatin to be negative for entire equation to be negative...
any one a or b can be negative to make ab negative and it can still be more(away from 0) than the multiplication of 4 other -ve numbers...
actually by writing minimum required as 1 out of 6,you are actually meaning 5 out of 6 also possible as you will see A=5 or 1 will give you same equation..
ans D
Answer: D
Question: In how many ways the letters of the word MAXICABE be arranged?
Options:
A)32,230 ways.
B)20,320 ways.
C)30,320 ways.
D)40,320 ways.
E)42,320 ways.
Rationale: Total ways of arranging the letters = 8! = 40,320 ways.
D)
Answer: D
Question: Bill has a small deck of 10 playing cards made up of only 2 suits of 5 cards each. Each of the 5 cards within a suit has a different value from 1 to 5; thus, there are 2 cards in the deck that have the same value. Bill likes to play a game in which he shuffles the deck, turns over 4 cards, and looks for pairs of cards that have the same value. What is the chance that Bill finds at least one pair of cards that have the same value?
Options:
A)7/15
B)9/16
C)11/18
D)13/21
E)16/25
Rationale: P(no pairs) = 8/9*6/8*4/7 = 8/21
P(at least one pair) = 1 - 8/21 = 13/21
The answer is D.
Answer: D
Question: (935421 x 625) = ?
Options:
A)583038125
B)583538125
C)583738125
D)584038125
E)584638125
Rationale: 935421 x 625 = 935421 x 54 = 935421 x 10 4
2
=	935421 x 104	=	9354210000
24	16
= 584638125
E)
Answer: E
Question: Six dots are evenly spaced on the circumference of a circle. How many combinations of three dots can we make from these 6 dots that do not form an equilateral triangle?
Options:
A)18
B)17
C)16
D)15
E)14
Rationale: The total number of ways we can choose three dots is 6C3=20.
We can form two equilateral triangles from these six dots.
There are 20 - 2 = 18 combinations which do not form an equilateral triangle.
The answer is A.
Answer: A
Question: How many seconds will it take for a car that is traveling at a constant rate of 120 miles per hour to travel a distance of 77 yards?	(1 mile = 1,160 yards)
Options:
A)1.25
B)1.31
C)1.58
D)1.87
E)2.3
Rationale: speed = 120 miles/hr = 58.67 yard/s
distance = 77 yards
time = distance/speed
=77/58.67
=1.31 sec
ans - B
Answer: B
Question: A team of 6 cooks is chosen from 7 men and 5 women. The team must have at least 2 men and at least 3 women. How many ways can this team be created?
Options:
A)140
B)320
C)560
D)455
E)840
Rationale: Only possible combinations are a team of 2M, 4 W or 3M,3W.
Possible ways to make a team of 2M,4W = 7C2 * 5C4 =21*5 =105
Possible ways to make a team of 3M,3W = 7C3* 5C3 = 35*10 = 350
Total possible ways = 105+350 = 455
Ans D it is.
Answer: D
Question: The average of 7 consecutive numbers is 20. The largest of these numbers is :
Options:
A)22
B)20
C)23
D)21
E)92
Rationale: Explanation:
Let the numbers be x, x + 1, x + 2, x + 3, x + 4, x + 5 and x + 6,
Then (x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6)) / 7 = 20.
or 7x + 21 = 140 or 7x = 119 or x =17.
Latest number = x + 6 = 23.
Answer: C
Answer: C
Question: mixture contains alcohol and water in the ratio 4 : 3. If 7 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.
Options:
A)10
B)99
C)5
D)22
E)29
Rationale: Let the quantity of alcohol and water be 4x litres and 3x litres respectively
28x = 4(3x+5)
16x = 20
x = 1.25
Quantity of alcohol = (4 x 1.25) litres = 5 litres.
Answer: C
Answer: C
Question: Aman can row 1km upstream in 20 min and back to his starting point in 12 min.How long would he take to row 1km in still water?.
Options:
A)12 mins
B)13 mins
C)14 mins
D)15 mins
E)16 mins
Rationale: If his speed is x mtr/min in still water and w mtr/minis speed of water, then
x-w= 1000/20=50
x+w= 1000/12= 250/3
adding
2x= 50 + 250/3= 400/3
x=200/3 mtrs/min
time taken to row 1 kms in still water = 1000/(200/3)= 15 mins.
ANSWER:D
Answer: D
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1600 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Options:
A)140
B)150
C)160
D)170
E)180
Rationale: Given that the area of the square = 1600 sq.units
=> Side of square = √1600 = 40 units
The radius of the circle = side of the square = 40 units
Length of the rectangle = 2/5 * 40 = 16 units
Given that breadth = 10 units
Area of the rectangle = lb = 16 * 10 = 160 sq.units
Answer: Option C
Answer: C
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs.361 is required to paint the floor at the rate of Rs.3/sq m, what would be the length of the floor?
Options:
A)18
B)19
C)20
D)22
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 = 361/3 = 120.33 sq m
l b = 120.33 i.e., l * l/3 = 120.33
l^2 = 361 => l = 19.
B
Answer: B
Question: For the set {2, 2, 3, 3, 4, 4, x}, which of the following values of x will most increase the standard deviation?
Options:
A)1
B)2
C)3
D)4
E)(2)^2
Rationale: Standard Deviation Step 1, as pointed out by others, is to find out the mean = 3
Step 2, For each number: subtract the Mean and square the result =
(1-3)^2=(-2)^2
(2-3)^2=(-1)^2
(3-3)^2 =(0)^2
(4-3)^2=(1)^2
(5-3)^2=(2)^2
Clearly (1-3)^2=(-2)^2 will give you the greatest value among all the other options.
Hence E
Answer: E
Question: A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?
Options:
A)240
B)377
C)269
D)277
E)768
Rationale: Let xx be the number of kilograms he sold in the morning.Then in the afternoon he sold 2x2x kilograms. So, the total is x+2x=3xx+2x=3x. This must be equal to 360.
3x=3603x=360
x=3603x=3603
x=120x=120
Therefore, the salesman sold 120 kg in the morning and 2⋅120=2402⋅120=240 kg in the afternoon.
Answer:A
Answer: A
Question: A certain number of persons can finish a piece of work in 100 days. If there were 10 persons less, it would take 10 more days finish the work. How many persons were there originally?
Options:
A)90
B)100
C)110
D)120
E)None of these
Rationale: Explanation :
Assume that x persons can finish a piece of work in 100 days
Also it is given that (x-10) persons can finish a piece of work in 110 days (∵ 100 + 10 = 110)
More persons, less days(indirect proportion)
Hence we can write as
personsx:(x−10)}:: 110 : 100
⇒ 100x = 110(x − 10)
⇒ 100x = 110x − 1100
⇒ 10x = 1100
⇒ x = 1100/10 = 110. Answer : Option C
Answer: C
Question: A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 ?
Options:
A)Rs. 10,500, Rs. 13,500, Rs. 16,500
B)Rs. 10,500, Rs. 13,500, Rs. 16,509
C)Rs. 10,500, Rs. 13,500, Rs. 16,506
D)Rs. 10,500, Rs. 13,500, Rs. 16,5065
E)Rs. 10,500, Rs. 13,500, Rs. 16,5012
Rationale: A:B:C = 35000 : 45000 : 55000 = 7:9:11
A's share = 40500 * 7/27 = Rs. 10500
B's share = 40500 * 9/27 = Rs. 13500
C's share = 40500 * 11/27 = Rs. 16500
Answer: A
Answer: A
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)11
B)5
C)2
D)8
E)4
Rationale: 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 A
Answer: A
Question: If x^2 is divisible by 240 what is the least possible value of integer x?
Options:
A)120
B)30
C)90
D)60
E)12
Rationale: 240 can be written as (2^4)*3*5.
For x^2 to be divisible by 240 it should contain at least 2^4 and 3 and 5 in its factors. We can leave out option E because 12 doesnt have 5 as one of its factor. Now if we check for option B, 30 can be written as 2*3*5, hence 30^ 2 will have 2 as the maximum power of 2, so we can leave out this option too.
Option D is the right answer if we follow the same method as we followed for other two previous options.
60 = (2^2)*3*5; 60^2 = (2^4)*(3^2)*(5^2). So it shows that 60^2 is divisible by 240 and hence the answer.
Answer : D
Answer: D
Question: Rs.1210 were divided among 3 person P, Q, R so that P:Q=5:4 and Q: R=9:10. Then R gets the amount.
Options:
A)Rs. 300
B)Rs. 400
C)Rs. 480
D)Rs. 490
E)Rs. 500
Rationale: P : Q = 5 : 4, Q : R = 9 : 10 = ( 9 x 4 / 9 ) : ( 10 x 4 / 9 ) = 4 : 40 / 9.
So, P : Q : R = 5 : 4 : 40 /9 = 45 : 36 : 40
Sum of ratio terms is = ( 45 + 36 + 40 ) =121.
R share of amount is Rs (1210 x 40 / 121) = Rs. 400.
B
Answer: B
Question: If $10,000 is invested at x percent simple annual interest for n years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?
Options:
A)10,000(x^n)
B)10,000(x/100)^n
C)10,000n(x/100)
D)10,000(1+x/100)^n
E)10,000n(1+x/100)
Rationale: The reasoning is from the following:
The formula for simple rate of interest is F = P(1+rt) where
F = future value
P = present value
r = rate
t = time
We can substitute x for r
n for t
and 10,000 in for P
F = 10,000(1+xn)
This formula will tell you the principal (original amount invested) + interest, but we only want interest, so the "1+" portion of the formula in unnecessary. -->
F = 10,000(xn)
Now, we need to get the x into terms of a percentage, so we divide x by 100 -->
F = 10,000(n * x/100)
If we move the n outside the brackets, we get -->
F = 10,000n(x/100)
ANSWER:C
Answer: C
Question: A, B, C, D and E are 5 consecutive points on a straight line. If BC = 3CD, DE = 8, AB = 5 and AC = 11, what is the length of AE?
Options:
A)15
B)17
C)19
D)21
E)23
Rationale: AC = 11 and AB = 5, so BC = 6.
BC = 3CD so CD = 2.
The length of AE is AB+BC+CD+DE = 5+6+2+8 = 21
The answer is D.
Answer: D
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets $500 more than D, what is D's share?
Options:
A)$1000
B)$1200
C)$1500
D)$1800
E)$2000
Rationale: Let the shares of A, B, C and D be 5x, 2x, 4x and 3x respectively.
Then, 4x - 3x = 500
x = $500
D's share = 3x = 3*$500 = $1500
The answer is C.
Answer: C
Question: A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 65 percent of books that were loaned out are returned and there are 54 books in the special collection at that time, how many books of the special collection were loaned out during that month?
Options:
A)20
B)30
C)35
D)40
E)60
Rationale: The total number of books is 75.
Let x be the number of books which were loaned out.
65% of books that were loaned out are returned.
35% of books that were loaned out are NOT returned.
Now, there are 54 books, thus the number of un-returned books is 75-54 = 21 books.
0.35x = 21
x = 60
The answer is E.
Answer: E
Question: The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
Options:
A)3
B)4
C)9
D)Cannot be determined
E)None of these
Rationale: Let the ten's digit be x and unit's digit be y.
Then, (10x + y) - (10y + x) = 36
9(x - y) = 36
x - y = 4.
Answer:B
Answer: B
Question: A number exceeds by 30 from its 3/8 part. Then the number is?
Options:
A)A)32
B)B)35
C)C)39
D)D)40
E)E)48
Rationale: x – 3/8 x = 30
x = 48
ANSWER:E
Answer: E
Question: How many of the positive factors of 15 , 45 and how many common factors are there in numbers?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: factors of 15 - 1, 3, 5, and 15
factors of 45 - 1, 3, 9, 15 and 45
Comparing both, we have three common factors of 45,16-3
Answer C
Answer: C
Question: What number has a 5:1 ratio to the number 10?
Options:
A)22
B)50
C)99
D)72
E)12
Rationale: 5:1 = x: 10
x = 50
Answer: B
Answer: B
Question: The tax on a commodity is diminished by 27% and its consumption increased by 16%. The effect on revenue is?
Options:
A)18
B)16
C)5
D)15
E)4
Rationale: 100 * 100 = 10000
73 * 116 = 8468
-----------
10000-----------1532
100-----------? => 15% decrease
Answer:D
Answer: D
Question: Three business people who wish to invest in a new company. Each person is willing to pay one third of the total investment. . After careful calculation, they realize that each of them would pay $ 7600 less if they could find two more equal investors. How much is the total investment in the new business.
Options:
A)a)	$ 64,000
B)b)	$ 54,000
C)c)	$ 21,000
D)d)	$ 5,400
E)e)	$57,000
Rationale: Initially each invest in x. Hence total investment is 3x.
Total investment is also 5(x-7600).
3x = 5(x-7600)
x= 5*7600/2 = 19000
3x = 57000 and the answer is E.
Answer: E
Question: In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons
Options:
A)A)160
B)B)170
C)C)210
D)D)190
E)E)230
Rationale: 7p3 = 7 × 6 × 5 = 210
Option 'C'
Answer: C
Question: The Chennai Express of 200 m runs at a speed of 62 km/hr and a person runs on the platform at a speed of 20 km/hr in the direction opposite to that of train. Find the time taken by the train to cross the running person?
Options:
A)8.77 sec
B)9.77 sec
C)12.77 sec
D)13.00 sec
E)None of these
Rationale: EXPLANATION:
Given: Length of train = 200 m, speed of train = 62 km/hr, speed of person = 20 km/hr
1) Convert km/hr into m/s
- 62 km/hr = 62 x	5/18= 17.22 m/s
- 20 km/hr = 20 x	5/18=5.55 m/s
As the train and the running person move in opposite directions, their speed values are added to find the relative speed.
Relative speed (Speed of train relative to man) = 17.22 + 5.55 = 22.77 m/s
We know,
Speed =	Distance/Time
Therefore, time taken by the train to cross the running person = Time taken by the train to cover 200 m at a relative of 22.77 m/s
=	200/22.78
= 8.77 sec
ANSWER IS A
Answer: A
Question: In a 1500 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy who runs at 4 m/s ?
Options:
A)100 sec.
B)50 sec
C)75 sec
D)Data not sufficient
E)None of these
Rationale: Speed of Shiny = 50/ 10 = 5m/s
Time taken by shiny to complete the race is B = 1500/5 = 300 sec.
Time taken by Baley to complete the race is D = 1500/4 = 275 sec.
Hence, D-B = 75 sec
ANSWER:C
Answer: C
Question: The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
Options:
A)7/98
B)1/48
C)1/98
D)1/96
E)1/68
Rationale: 2/7 * 6/7 * 1/3 * 1/8 = 1/98
ANSWER:C
Answer: C
Question: The G.C.D. of 1.08, 0.36 and 0.63 is?
Options:
A)0.03
B)0.09
C)0.18
D)0.108
E)none of these
Rationale: Given numbers are 1.08,0.36 and 0.63.
H.C.F of 108, 36 and 63 is 9
H.C.F of given numbers=0.09.
Correct Options:B
Answer: B
Question: Marginal cost is the cost of increasing the quantity produced (or purchased) by one unit. If the fixed cost for n products is $15,000 and the marginal cost is $200, and the total cost is $25,000, what is the value of n?
Options:
A) 30
B) 50
C) 60
D) 80
E) 100
Rationale: Total cost for n products = fixed cost for n products + n*marginal cost --> $25,000 = $15,000 + n * $200 --> n = 50.
Answer: B.
Answer: B
Question: A person travelled from his house to office at 20km/hr and office to house at 80km/hr. Then find the average speed?
Options:
A)32km/hr
B)40km/hr
C)48km/hr
D)50km/hr
E)62km/hr
Rationale: Average speed = (2*20*80)/(20+80)= 32km/hrAnswer is A
Answer: A
Question: The total number of plums that grew during each year on a certain plum tree was equal to the number of plums that grew during the previous year, less the age of the tree in years (rounded to the nearest lower integer.) During its 3rd year, this plum tree grew 50 plums. How many plums did it grow during its 6th year?
Options:
A)a) 41
B)b) 38
C)c) 35
D)d) 29
E)e) 28
Rationale: The answer shud be 38.
(50 - 3 - 4 - 5 =38)
Yes, if you go the 50 - 3 way, then it will be 38. If instead you go the 50 - 4 way (which they have suggested), the answer will be 35. As I said, there is ambiguity here.answer is C
Answer: C
Question: Cole drove from home to work at an average speed of 75 kmh. He then returned home at an average speed of 105 kmh. If the round trip took a total of 4 hours, how many minutes did it take Cole to drive to work?
Options:
A)66
B)70
C)95
D)112
E)140
Rationale: First round distance travelled (say) = d
Speed = 75 k/h
Time taken, T2 = d/75 hr
Second round distance traveled = d (same distance)
Speed = 105 k/h
Time taken, T2 = d/105 hr
Total time taken = 4 hrs
Therefore , 4 = d/75 + d/105
LCM of 75 and 105 = 525
4= d/75 + d/105
=> 4 = 7d/525 + 5d/525
=> d = 525 / 3 Km
Therefore, T1= d/75
=> T1 = 525 / (3 x 75)
=> T1 = (7 x 60) / 3 -- in minutes
=> T1 = 140 minutes.
E
Answer: E
Question: Find the average of the series : 312, 162, 132, 142 and 122?
Options:
A)129
B)308
C)267
D)207
E)174
Rationale: Average = (312 + 162 + 132 + 142 + 122)/5
= 870/5
= 174
Answer: E
Answer: E
Question: How many leading zeros (zeros after the decimal point but before the first nonzero digit of a number) are in 1/6!?
Options:
A)2
B)3
C)5
D)6
E)9
Rationale: 7! = 720
1/1000 < 1/720< 1/100
0.001 < 1/720 < 0.01
So 1/720 has 2 leading zeros
Answer: A
Answer: A
Question: If a triangle in the xy-coordinate system has vertices at (-2 , -3), (4, -3) and (28, 7), what is the area of the triangle?
Options:
A)30
B)36
C)48
D)60
E)65
Rationale: (-2,-3) is in 3rd quadrant, (4,-3) is in 4th quadrant while (28,7) is in 1st quadrant.
Also, y coordinate of (-2,-3) and (4,-3) is same so they lie on same horizontal line.
So base of triangle = sqrt[(-3+3)^2 + (4+2)^2] = 6
And height of triangle = 7 - (-3)
= 10
So area of triangle = 1/2*6*10
= 30
Hence option (A),
Answer: A
Question: 8, 19, 30, 41, 52, ….
Given the sequence above, what is the sum of the 14th and the 20th terms?
Options:
A)324
B)335
C)346
D)357
E)368
Rationale: The first term is 8 = 11 – 3. The second term is 19 = 22 – 3, the third term is 30 = 3 × 11 – 3, the fourth term is 41 = 4 × 11 – 3, etc.
Thus, 11n – 3 describes the values in the sequence where n is the number of the term.
The 14th term is 14 × 11 – 3 = 151.
The 20th term is 20 × 11 – 3 = 220 – 3 = 217.
The sum of these two values is 368.
The correct answer is choice (E).
Answer: E
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 1500. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Options:
A)78%
B)35%
C)40%
D)76%
E)None of these
Rationale: The total CP = Rs. 16000 + Rs. 1500= Rs. 17500 and SP = Rs. 31150
Profit(%) = (31150 - 17500)/17500* 100 = 78%
ANSWER:A
Answer: A
Question: A six-sided die is rolled once. What is the probability that the number rolled is an odd number greater than 4?
Options:
A)2 / 3
B)1 / 6
C)3 / 3
D)4 / 5
E)2 / 4
Rationale: Only 5 so, 1 / 6
correct answer B
Answer: B
Question: Midway through his round a golfer hits a magnificent 210 yard drive, which brings his average length per drive for the round up to now from 156 to 162 yards. How far would he have had to hit the drive to bring his average length of drive up from 156 to 165 yards?
Options:
A)243 yards
B)239 yards
C)189 yards
D)245 yards
E)237 yards
Rationale: E
237 yards
Eight holes average 156 = 1, 248 yards,
Nine holes average 162 = 1, 458 yards (+ 210),
Nine holes average 165 = 1, 485 yards (+ 237).
Answer: E
Question: A car takes 6 hours to cover a distance of 270 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Options:
A)30 Kmph
B)60 Kmph
C)65 Kmph
D)70 Kmph
E)None
Rationale: Time = 6
Distence = 270
3/2 of 6 hours = 6 * 3/2 = 9 Hours
Required speed = 270/9 = 30 Kmph
A)
Answer: A