divelab/Sys2Bench huggingface dataset:
Question: Scott's average (arithmetic mean) golf score on his first four rounds was 68.What score does he need on his fifth round to drop his average score by 2 points?
Options:
A)58
B)72
C)78
D)88
E)312
Rationale: Average score for first 4 rounds = 68
Average score after 5 rounds = 66
Score Scott needs on his 5th round to drop average score by 2 points = 68 - (2*5) = 58
Answer A
Answer: A
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Options:
A)2
B)5
C)8
D)7
E)3
Rationale: S = 4
M = x
DS = x + 4
US = x - 4
6/(x + 4) + 6/(x - 4) = 2
x = 8
Answer: C
Answer: C
Question: How many numbers from 13 to 76 are exactly divisible by 10?
Options:
A)5
B)6
C)9
D)11
E)12
Rationale: Option 'B'
13/10 = 1 and 76/10= 7 ==> 7 - 1= 6 Numbers
Answer: B
Question: A sales staff is composed of a sales manager and two sales people, all of whom earn commission as a percentage of sales. Each sales person earns 5% commission on sales. In a given week, the sales staff earned a total of $2,500 in commissions on $5,000 worth of sales. What commission rate did the sales manager earn during that week?
Options:
A)25%
B)30%
C)35%
D)40%
E)45%
Rationale: D for me.
Let managers comminsion rate be M.
m*5000+ 2*0.05*5000=2500
5000*m=2000
m=40/100=40%
Answer: D
Question: Three tenths of the wooden toys were painted blue and one fourth of them were painted green.
Half of the remaining toys were painted red and half were painted yellow. If 300 toys are blue, how
many are there of yellow toys?
Options:
A)132
B)246
C)321
D)225
E)437
Rationale: .3 x T = 300 blue toys
T = 300 ÷ .3
T = 1000 toys in all
1/4 x 1000 = 250 green toys
300 + 250 = 550 blue or green toys
1000 - 550 = 450 remaining toys
1/2 x 450 = 225 red toys
1/2 x 450 = 225 yellow toys
correct answer D
Answer: D
Question: The function f is defined for all positive integers t by the following rule. f(t) is the number of positive integers each of which is less than t and has no positive factor in common with t other than 1. If p is any prime, number then f(p)=
Options:
A)p-2
B)p-1
C)(p+1)/2
D)(p-1)/2
E)2
Rationale: If not the wording the question wouldn't be as tough as it is now. The GMAT often hides some simple concept in complicated way of delivering it.
This question for instance basically asks: how many positive integers are less than given prime number p which have no common factor with p except 1.
Well as p is a prime, all positive numbers less than p have no common factors with p (except common factor 1). So there would be p-1 such numbers (as we are looking number of integers less than p).
For example: if p=6 how many numbers are less than 6 having no common factors with 6: 1, 2, 3, 4, 5, --> 6-1=5.
Answer: B.
Answer: B
Question: When y is divided by 264, the remainder is 42. What is the remainder when the same y is divided by 22?
Options:
A)12
B)14
C)16
D)18
E)20
Rationale: y = 264*a + 42 = (22*12)*a + 22 + 20
The answer is E.
Answer: E
Question: The area of one square is x^2 + 10x + 25 and the area of another square is 4x^2 − 12x + 9. If the sum of the perimeters of both squares is 64, what is the value of x?
Options:
A)0
B)2
C)4.8
D)4.67
E)10
Rationale: spotting the pattern of equations both are in form of (X+C)^2 so
A1= (x+5)^2A2= (2x-3)^2
L1= x+5L2= 2x-3
P1 = 4( x+5)P2=4(2x-3)
P1+P2=64
4( x+5) +4(2x-3)=64............> X=4.8
Answer: C
Answer: C
Question: A man can row upstream at 12kmph and downstream at 16 kmph. The speed of the stream is
Options:
A)2 km/hr
B)4 km/hr
C)5 km/hr
D)10 km/hr
E)None
Rationale: Sol.
Speed of stream = 1/2(16 -12) kmph = 2 kmph.
Answer A
Answer: A
Question: In a class there are 18 boys and 10 girls. In how many ways can a boy and a girl be selected?
Options:
A)180
B)500
C)277
D)266
E)255
Rationale: We can select one boy from 18 boys in 18 ways.
We select one girl from 10 girls in 10 ways
We select a boy and girl in 18 * 10 ways i.e.,
= 180 ways.
Answer: A
Answer: A
Question: I bought two books; for Rs.420. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Options:
A)197
B)245
C)189
D)278
E)268
Rationale: x*(85/100)
= (420 - x)119/100
x = 245
Answer: B
Answer: B
Question: The charge for a single room at Hotel P is 20 percent less than the charge for a single room at Hotel R and 10 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G ?
Options:
A)15%
B)20%
C)12.5%
D)50%
E)150%
Rationale: Let rate in R = 100x
then P = 80x
G = 100y
P = 90y
Thus
80 x=90y
or x = 1.125 y
Ans R = 112.5y
so increase = 12.5%
Answer: C
Answer: C
Question: How many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth (units digit) is divisible by 7, and the digit 2 can be used only once?
Options:
A)20
B)150
C)225
D)300
E)320
Rationale: 4 options for the first digit: 2, 4, 6, 8;
5 options for the second digit: 1, 3, 5, 7, 9;
4 options for the third digit: 2, 3, 5, 7;
4 options for the fourth digit: 0, 7.
Four digit # possible without the restriction (about the digit 2): 4*5*4*2=160
Numbers with two 2-s, 2X2X 1*5*1*2=10.
Thus there are 160-10=150 such numbers.
Answer: B.
Answer: B
Question: The probability that a brand A widget is defective is x, the probability that a brand B widget is defective is 0.06, and the probability that a brand C widget is defective is 0.08. There are 40 brand A widgets, 35 brand B widgets, 25 brand C widgets, and nothing else in a container. If a widget is selected at random from the container, the probability that the widget selected is defective is 0.063. What is the value of x?
Options:
A)0.01
B)0.02
C)0.04
D)0.05
E)0.055
Rationale: Given probability of defective items in each brand,
So, the number of items defective in brand A=x*40, in brand B=0.06*35 and brand C=0.08*25
Total number of widgets=40+35+25=100
the probability that the widget selected is defective is 0.063=(x*40+0.06*35+0.08*25)/100
=> 40x+2.1+2=6.3
=>40x=2.2
>x=2.2/40=0.055
Ans E
Answer: E
Question: There are 9 novel books, 4 drama books, 12 poetry books and 7 grammar books in my bookshelf. The books are randomly arranged in the shelf and not at all in the order of their type. What is the least number of books that must be drawn from the shelf in order to get 6 books of a particular type?
Options:
A)20
B)23
C)25
D)28
E)None of these
Rationale: If we remove all drama books that is 4 of them are gone out of 20 left with 16.
Now suppose 5 of each novel, poetry and drama are drawn out from the shelf, that is 15 more books gone, so total 19 are taken out from the shelf and left with 1.
Now the next 1 book which is pulled can be any of the three categories but it would definitely complete a set of 6 for one of the them.
1. Take out 4 Dramas.
2. Take 5 of each of the other 3, total of 15.
3. Next book you take will complete a set of 6.
Total is 4+15+1 = 20.
ANSWER:A
Answer: A
Question: Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Options:
A)4
B)6
C)2
D)3
E)8
Rationale: 9261 = 8000(21/20)N
(21/20)3 = (21/20)N => N = 3
ANSWER D
Answer: D
Question: What is the difference between the largest number and the least number written with the digits 6, 3, 2, 5?
Options:
A)6084
B)4176
C)2077
D)2721
E)1812
Rationale: Explanation:
2356
6532
------------
4176
Answer:B
Answer: B
Question: Average of money that group of 4 friends pay for rent each month is $800.After one persons rent is increased by 16% the new mean is $850.What was original rent of friend whose rent is increased?
Options:
A)800
B)900
C)1000
D)1100
E)1250
Rationale: 0.16X = 4(850-800)
0.16X = 200
X = 1250
Answer E
Answer: E
Question: Find the one which does not belong to that group ?
Options:
A)27
B)37
C)47
D)67
E)17
Rationale: Explanation:
37, 47, 67 and 17 are prime numbers but not 27.
ANSWER IS A
Answer: A
Question: 9 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days?
Options:
A)33
B)89
C)12
D)77
E)61
Rationale: 9M + 12B ----- 12 days
12M + 12B ------- 10 days
10M + 10B -------?
108M + 144B = 120M +120B
24B = 12M => 1M = 2B
18B + 12B = 30B ---- 12 days
20B + 10B = 30B -----? => 12 days
Answer:C
Answer: C
Question: If (8x)/(1 - 10y/z) = 3x then which of the following is true?
Options:
A)z = 5y
B)z = -6y
C)z = y
D)z = -y
E)z = 6y
Rationale: (8x)/(1 - 10y/z) = 3x
=> 8z/(z - 10y) = 3
=> 8z = 3z - 30y
=> 5z = -30y
=> z = -6y
Hence Ans is B
Answer: B
Question: If x^2 + y^2 = 13 and xy = 3, then (x − y)^2 =
Options:
A)7
B)11
C)14
D)17
E)20
Rationale: but you cannot take xy+ 3 to mean xy=-3..
only if xy+3=0, it will mean xy=-3..
rest your solution is perfect and you will get your correct answer as 13-2*3=7..
Answer A
Answer: A
Question: If A(k)=(k+1)^k, and k=1, what is the value of A(A(A(k-1)))?
Options:
A)0
B)2
C)1
D)6
E)9
Rationale: A(A(A(0)))=A(A(0))=A(0)=1.
Thus, the answer is C.
Answer: C
Question: In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
Options:
A)360
B)580
C)720
D)5040
E)None of these
Rationale: Considering vowels as a single entity, we have 5 (distinct) entities... So 5! permutations are there... In each of them, there are 3! different permutations possible (within the vowels)...
So, total arrangements = 5! * 3! = 720
ANSWER:C
Answer: C
Question: (?) - 19657 - 33994 = 9999
Options:
A)63641
B)63645
C)63650
D)63652
E)63656
Rationale: 19657 Let x - 53651 = 9999
33994 Then, x = 9999 + 53651 = 63650
-----
53651
-----
C
Answer: C
Question: A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:
Options:
A)1 km/hr
B)2 km/hr
C)1.5 km/hr
D)2.5 km/hr
E)3.5 km/hr
Rationale: Explanation:
Assume that he moves 4 km downstream in
x
x hours
Then, speed downstream
=
distance/time =4/xkm/hr
Hence, speed downstream
=4/x=4/(1/2)=8km/hr
speed upstream = 3/x=3/(1/2)=6km/hr
Hence, rate of the stream =1/2(8-6)=1km/hr
ANSWER IS A
Answer: A
Question: 8 speakers gathered to deliver speeches on two topics. Even though 8 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?
Options:
A)2
B)36
C)64
D)100
E)1024
Rationale: 1)there are 8 speeches in ONE topic and 8 in OTHER..
2)there is a specific order for topics, so
a) both the topics are to be spoken on- so ONE from each
b) the order does not matter since there is ONLY one specific order..
so 8C1∗8C1=8∗8=64
ANSWER:C
Answer: C
Question: There are 35 students in a hostel. If the no. of students increases by 9, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?
Options:
A)334.44
B)340.88
C)342.88
D)345.88
E)380
Rationale: Suppose the average join the mess , total expenditure = 35x + 42
Now, the average expenditure = (35x + 42)/ (35 + 9) = x – 1
or, 35x + 42 = 44x – 44
or, x = 9.55
Thus the original expenditure of the mess = 35 x 9.55 = Rs. 334.44
A
Answer: A
Question: In the xy plane line m has the equation 4x + y = t. Line n passes through the origin and is perpendicular to line m. If point p has the coordinates (r, r+1) and is on both line n and m what is the value of r?
Options:
A)-4/3
B)1/4
C)-4
D)3/4
E)4/3
Rationale: The equation of line m is y=-4x+t. Now, since line n is perpendicular to line m, then its slope is negative reciprocal of the slope of line m, so the slope of n is 1/4. Next, as line n passes through the origin (0, 0) and has the slope of 1/4 then its equation is y=1/4*x.
Point (r, r+1) lies on line n means that (r+1)=1/4*r --> r=-4/3.
Answer: A.
Answer: A
Question: A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
Options:
A)5
B)6
C)7
D)82
E)43
Rationale: US = 25
DS = 35
M = (35 - 25)/2 = 5
Answer: A
Answer: A
Question: Three pounds of 05 grass seed contain 5 percent herbicide. A different type of grass seed, 20, which contains 20 percent herbicide, will be mixed with three pounds of 05 grass seed. How much grass seed of type 20 should be added to the three pounds of 05 grass seed so that the mixture contains 10 percent herbicide?
Options:
A)3
B)3.75
C)1.5
D)6
E)9
Rationale: 05 grass seed contains 5% herbicide and its amount is 3 pound
20 grass seed contains 20% herbicide and its amount is x
when these two types of grass seeds are mixed, their average becomes 15%
thus we have
3(5)+x(20)/(x+3) = 10
15+20x=10x +30
10x=15
or x=1.5
C
Answer: C
Question: In order to fulfill a local school’s request for x cakes, B parents agreed to each bake an equal number of cakes. If y of the parents did not bake any cakes, which of the following represents the additional number of cakes that each of the other parents had to bake in order for the school’s request for x cakes to be fulfilled?
Options:
A)xy
B)xy/B
C)yx/(B(B-y))
D)yx/B-y
E)2xy
Rationale: No of cakes each parent has to bake : x/B
No of parents did not bake cake = y
No of cakes that were not baked by p parents = y*x/B
No of parents has to bake additional cakes = B-y
additional number of cakes that each of the other parents had to bake in order for the school’s request for x cakes = yx/(B(B - y))
Answer C
Answer: C
Question: subash can copy 50 pages in 10 hrs.subash and prakash together can copy 300 pages in 40 hours.in how much time prakash can copy 15 pages.
Options:
A)8
B)10
C)12
D)14
E)6
Rationale: subhas 's 1 hr copy page=50/10=5 page
(subhas+prakash)'s 1 hr copy page=300/40=7.5 page
from above prakash's 1 hr copy page= 2.5 page
so time taken in 30 page's copy =(15/2.5)=6 hrs
ANSWER:E
Answer: E
Question: For a positive integer n, if 5^n is a factor of 20!, but 5^n+1 is not a factor of 20!, what is the value of n?
Options:
A)4
B)6
C)7
D)8
E)9
Rationale: 20! has four 5's
20/5 = 4
Thus 5^4 can completely divide 20! and 5^5 can not divide 20!
So, Answer will be (A) 4
Answer: A
Question: A tap can fill a tank in 8 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
Options:
A)5 hr
B)1 hr 30 min
C)2 hr 30 min
D)2 hr
E)4 hr
Rationale: Explanation:
A tap can fill a tank in 8 hours.
Therefore the tap can fill half the tank in 4 hours.
Remaining part =1/2
One tap take time to fill half of the tank = 4 hrs
4 taps take time to fill half of the tank = 4/4 hrs = 1 hr
Total time taken to fill the tank = 4+1 hrs = 5 hrs
Answer : A
Answer: A
Question: A person travels equal distances with speeds of 2km/hr, 6km/hr, 6km/hr. and takes a total time of 11minutes. Find the total distance ?
Options:
A)1km
B)500mts
C)660mts
D)2km
E)250mts
Rationale: Let the each distance be x km
total distance = 3x
then total time,
(x/2)+(x/6)+(x/6) = 11/60
x=0.22
total distance = 3*0.22 = 0.66km = 660meters
correct option is C
Answer: C
Question: D is the set of all the multiples of 5 between 20 and 100. E is the set of all the factors of 999. Set D and Set E have how many numbers in common?
Options:
A)2
B)1
C)3
D)0
E)12
Rationale: D is a set of multiples of 5.
999 is NOT a multiple of 5, hence none of its factors is a multiple of 5.
Therefore, those two sets won't have any overlap.
Answer: D
Answer: D
Question: A 3-letter code word consists of letters A, B. If the code includes all the two letters, how many such codes are possible?
Options:
A)72
B)48
C)6
D)24
E)18
Rationale: A-AB can be arranged in 3!/2!=3 ways;
B-AB can be arranged in 3!/2!=3 ways;
Total: 3+3=6.
Answer: C.
Answer: C
Question: Find the remainder Q when 12^190 is divided by 1729 ?
Options:
A)12
B)1
C)1728
D)1717
E)4
Rationale: 12^(190) can be written as. ((12^3)^63)* 12. 12^3 when divided by 1729 gives a remainder Q -1. so in the numerator we have -12. Now acccording to remainder theorm the answer will be 1729-12=1717.D
Answer: D
Question: Rahim bought 4 pillows with the average cost of $5. If Rahim also buys the fifth pillow with the price of $ 10, what is the average (arithmetic mean) price of those 5 pillows?
Options:
A)$6
B)$5
C)$5.5
D)$6.5
E)$7
Rationale: 4 pillowss -> Total cost = 4 * Avg cost = 4*5 = 20
Fifth pillow cost = 10
Total cost for 5 pillows = 20+10 = 30
AM = 30/5 = 6
Hence A
Answer: A
Question: When Jack picks olives for two hours at three times his regular speed, he picks 10 pounds of olives more than Mac working for five hours at 70% of his regular speed. Therefore, if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 75% of his regular speed, then
Options:
A)Jack picks double the amount of olives Mac picks
B)Mac picks 10 pounds more than Jack
C)Jack picks 10 pounds more than Mac
D)Mac picks 5 more pounds than Jack
E)Jack picks 5 more pounds than Mac
Rationale: Let's say Jack's regular speed is J olives/hr and Mac's regular speed is M olives/hr
Given:
2*3J = 10 + 5*(4/5)M
3J = 5 + 2M
Question:if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 75% of his regular speed
Mac picks 2M and Jack picks 4*(3/4)J = 3J
They are asking you for the relation between 3J and 2M. You already know 3J = 5 + 2M
So Jack picks 10 pounds more olives than Mac.
B
Answer: B
Question: 10 litres of water is added to 50 litres of a solution containing 20% of alcohol in water . What is the strength of alcohol in the solution now ?
Options:
A)20%
B)16 2/3 %
C)12 1/2 %
D)33 1/3 %
E)23 1/3 %
Rationale: Quantity of alcohol in 50 litres = 50*20/100 =10
strength in 60 litre solution = 10/60*100 = 100/6 = 16 2/3
ANSWER:B
Answer: B
Question: A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present
Options:
A)42
B)22
C)20
D)40
E)26
Rationale: Let the mother's present age be X years.
Then, the person's present age = 2/5 X years.
THEREFORE (2/5 X + 8) = 1/2 (X+8)
2(2X + 40) = 5(X + 8)
X = 40
ANSWER:D
Answer: D
Question: Apple, orange, mango. Mango + apple=12. Mango + orange=10.
Mango +Apple + orange=38. Calculate the no of mango?
Options:
A)-8
B)-9
C)-10
D)-12
E)-16
Rationale: Mango + apple=12.............(A)
Mango + orange=10..........(B)
Adding A and B
2 Mango + Apple +orange = 22
but
Mango +Apple + orange=38.... given
which is not possible.
In this case, no of mangoes is negative ( -16)
ANSWER:D
Answer: D
Question: The value of x+2+xx -x(x+x) when x = 2 is:
Options:
A)5
B)4
C)0
D)3
E)6
Rationale: x+2+xx -x(x+x)
Put the value of x = 2 in the above expression we get,
2+2+2*2 - 2(2+2)
= 2+2+4-8
= 0
Answer C
Answer: C
Question: A and B undertake to do a piece of work for Rs. 600. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. !find the share of B.
Options:
A)225
B)500
C)75
D)800
E)None 0of them
Rationale: C's 1 day's work = 1/3-(1/6+1/8)=24
A : B : C = Ratio of their 1 day's work = 1/6:1/8:1/24= 4 : 3 : 1.
A’s share = Rs. (600 *4/8) = Rs.300, B's share = Rs. (600 *3/8) = Rs. 225.
C's share = Rs. [600 - (300 + 225») = Rs. 75.
Answer is A
Answer: A
Question: A wholesaler wishes to sell 100 pounds of mixed nuts at $2.50 a pound. She mixes peanuts worth $1.50 a pound with cashews worth $4.00 a pound. How many pounds of cashews must she use?
Options:
A)40
B)45
C)50
D)55
E)60
Rationale: Cashews /peanuts = (Mean price - peanuts price)/(Cashew price - Mean price) = (2.5-1.5)/(4-2.5) = 2/3
Cashew = (2/5)*100 = 40 Kg
Answer is A.
Answer: A
Question: By selling 88 pens, a trader gains the cost of 22 pens. Find his gain percentage?
Options:
A)25%
B)26%
C)27%
D)28%
E)29%
Rationale: Let the CP of each pen be Rs. 1.
CP of 88 pens = Rs. 88
Profit = Cost of 22 pens = Rs. 22
Profit% = 22/88 * 100 = 25%
Answer:A
Answer: A
Question: What is the value of x^2yz − xyz^2, if x = − 2, y = 1, and z = 4?
Options:
A) 20
B) 24
C) 30
D) 32
E) 48
Rationale: 4*1*4 -(- 2*1*16)
=16+32 = 48
Ans: E
Answer: E
Question: 10 women can complete a work in 8 days and 10 children take 12 days to complete the work. How many days will 6 women and 3 children together take to complete the work?
Options:
A)7
B)10
C)8
D)9
E)11
Rationale: Explanation:
1 women’s 1 day’s work = 1/8/10 = 1/80
1 child’s 1 day’s work = 1/12/10 = 1/120
6 women’s 1 day’s work = 1/80 × 6 = 3/40
3 children’s 1 day’s work = 1/120 × 3 = 1/40
6 women’s + 3 children’s 1 day’s work = 3 /40 + 1/40 = 1/10
Therefore, they will finish the whole work in 10 days.
Answer: Option B
Answer: B
Question: In a division sum, the remainder is 4 and the divisor is 2 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is:
Options:
A)72
B)90
C)100
D)110
E)120
Rationale: Diver = (4*3)+2 = 14
2* Quotient = 14
Quotient = 7
Dividend = (Divisor * Quotient) + Remainder
Dividend = (14 * 7) + 2 = 100
C
Answer: C
Question: A ladies hostel had provision of food for 150 women for 25 days. After 5 days, 25 women left the hostel. The number of days for which the remaining food will last is:
Options:
A)64
B)50
C)28
D)26
E)24
Rationale: Explanation :
After 5 days : 150 women had food for 20 days.
Suppose 125 women had food for x days.
Now, Less women, More days (Indirect Proportion)
125 : 150 :: 20 : x
=> 125 x x = 150 x 20
=> x = 150 x 20 / 125
=> x = 24.
Answer : E
Answer: E
Question: You collect baseball cards. Suppose you start out with 16. Since you're nice, you give John 2 baseball cards. How many baseball cards do you have at the end?
Options:
A)11
B)12
C)13
D)14
E)15
Rationale: Solution
Start with 16 baseball cards.
John takes 3 baseball cards from you: 16 - 2 = 14 baseball cards.
So you have 14 at the end.
Correct answer : D
Answer: D
Question: A certain rectangular window is (2/5) times as long as it is wide. If its perimeter is 28 feet, what are its dimensions in terms of length by width?
Options:
A)12 by 2
B)11 by 3
C)10.5 by 3.5
D)10 by 4
E)9 by 3
Rationale: 2x+2y=28
x+y=14
x+(2/5)x=14
1.4x=14
x=10
Answer D
Answer: D
Question: A certain fruit stand sold cherry for $0.70 each and guava for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase ?
Options:
A)11
B)12
C)13
D)14
E)15
Rationale: Some multiple of 7 + Some multiple of 5 should yield 63. To get to a some multiple of 5, we should ensure that a 3 or 8 (5+3) should be a multiple of 7.
63 is a direct multiple of 7, however in this case there won't be any bananas. Hence the next option is to look for a multiple of 7 that has 8 as the unit digit. 28 satisfies this hence no. of apples is 4 and no of bananas is 7
A
Answer: A
Question: A train covers a distance of 9 km in 6 min. If it takes 5 sec to pass a telegraph post, then the length of the train is?
Options:
A)100
B)105
C)110
D)120
E)125
Rationale: Speed = (9/6 * 60) km/hr = (90 * 5/18) m/sec = 25 m/sec.
Length of the train = 25 * 5 = 125 m.
Answer: Option E
Answer: E
Question: How many natural numbers that are less than 10,000 can be formed using the digits 0, 1, 2, 3, 4, 6, 7 & 8?
Options:
A)5000
B)4096
C)6560
D)4095
E)8000
Rationale: Solution:
We are missing digits 5 and 9 in the question. So we have 8 digits for each position (ones,tens,hundreds,thousands).
The numbers that can be constructed using 8 digits in 4 positions = (8 x 8 x 8 x 8) - 1 (To disregard the case 0000)
= 4096 - 1
= 4095
If you have use 10 digits (0 thru 9), you have (10 x 10 x 10 x 10) - 1 = 9999 numbers.
Answer D.
Answer: D
Question: A woman has three blouses of different colors, three skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?
Options:
A)8
B)12
C)16
D)17
E)18
Rationale: total ways = 3*3*2=18..
now its better to find the ways in which the pink blouse and green skirt are together and subtract from total to get the answer..
the ways in which the pink blouse and green skirt are together=1*1*2=2..
total ways =18-2=16..
ANSWER:C
Answer: C