divelab/Sys2Bench huggingface dataset:
Question: How many words can be formed by using all letters of the word ‘BIHAR’ ?
Options:
A)110
B)120
C)130
D)140
E)None of these
Rationale: Solution
The word BIHAR contains 5 different letters.
Required number of words = 5P5 = 5 ! = (5 x 4 x 3 x 2 x 1) = 120, Answer B
Answer: B
Question: Two discounts of 40% and 20% equal to a single discount of?
Options:
A)52%
B)48%
C)60%
D)80%
E)70%
Rationale: {[(100-40)/100]*[(100-20)/100]}%=(60*80)/(100*100)%
=48%
single discount is equal to (100-48)%=52%
ANSWER A 52%
Answer: A
Question: In a recent election, James received 5 percent of the 2,000 votes cast. To win the election, a candidate needed to receive more than 50 percent of the vote. How many additional votes would James have needed to win the election?
Options:
A)901
B)989
C)990
D)991
E)1,001
Rationale: James = (5/100)*2000 = 100
Votes to win = (50/100)*Total Votes +1 = (50/100)*2000 +1 = 1001
Remaining Voted needed to win election = 1001 - 100 = 901
Answer: option A
Answer: A
Question: In a certain pond, 70 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
Options:
A)400
B)625
C)1,750
D)2,500
E)10,000
Rationale: This is a rather straight forward ratio problem.
1. 70 fish tagged
2. 2 out of the 50 fish caught were tagged thus 2/50
2/50=70/x
thus, x=1750
Think of the analogy: 2 fish is to 50 Fish as 50 fish is to ...?
You've tagged 50 fish and you need to find what that comprises as a percentage of the total fish population - we have that information with the ratio of the second catch.
C
Answer: C
Question: Three unbased coins are tossed. the probability of getting at most three head is ?
Options:
A)1/2
B)7/8
C)3/4
D)1/5
E)1/8
Rationale: S={TTT,TTH,THT,HTT,THH,HTH,HHT,HHH}
E be the event of getting at least two head is {HHH}
P(E)=n(E)/n(S)=1/8
Answer(E)
Answer: E
Question: If pqr = 1, the value of the expression (1 / ( 1 + p + q-1)) + (1 / ( 1 + p + r-1)) + (1 / ( 1 + p + p-1))
Options:
A)p + q + r
B)1/ (p + q + r )
C)1
D)p ^ (-1) + q ^ (-1) + r ^ (-1)
E)None
Rationale: Explanation :
If p = q = r = 1, then expression = 1
Check the choice only, one choice gives the value of expression = 1.
Answer : C
Answer: C
Question: How many different numbers can we have by changing the position of the digits of the number 718844?
Options:
A)15
B)90
C)180
D)360
E)720
Rationale: Permutation in a group where there are repeated elements = n!/(p! * p2! *...*pn!); where p1, p2, .., pn are the number of times the element is repeated.
So, here required numbers = 6!/(2! * 2!) since we have 6 digits and 8 and 4 are each repeated twice.
= 180
Hence option C
Answer: C
Question: A and B invest in a business in the ratio 3: 2. Assume that 5% of the total profit goes to charity. If A's share is Rs. 855, what is the total profit?
Options:
A)1400
B)1500
C)1600
D)1200
E)1800
Rationale: Explanation:
Assume that the total profit is xx
since 5% goes for charity, 95% of xx will be divided between A and B in the ratio 3:2
Therefore, A's profit =95x 100×35
Given that A's share is Rs. 855. Therefore,
95 x 100×35=855
⇒95x100=855×53=285×5=1425
⇒x=1425×10095=285×10019=1500
Hence the total profit = 1500
Answer: Option B
Answer: B
Question: A,B,C can complete a piece of work in 16,6,12 days. Working together, they complete the same work in how many days?
Options:
A)2
B)48/15
C)7/9
D)10
E)24/7
Rationale: A+B+C 1day work = 1/16 + 1/6 + 1/12 = 15/48
A,B,C together will complete the job in 48/15 days
Answer is B
Answer: B
Question: The diameters of two spheres are in the ratio 1:2 what is the ratio of their volumes?
Options:
A)1:9
B)1:2
C)1:8
D)1:1
E)1:6
Rationale: 1:8
Answer:C
Answer: C
Question: A train 700 m long can cross an electric pole in 20 sec and then find the speed of the train?
Options:
A)117 Kmph
B)178 Kmph
C)126 Kmph
D)118 Kmph
E)119 Kmph
Rationale: Length = Speed * time
Speed = L/T
S = 700/20
S = 35 M/Sec
Speed= 35*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 126 Kmph
Answer: C
Answer: C
Question: If 20 gallons of grape juice are added to 40 gallons of a mixture, which contains 10 percent grape juice then what percent of the resulting mixture is grape juice?
Options:
A)14%
B)25%
C)28%
D)34%
E)40%
Rationale: OFFICIAL SOLUTION:
If we start with 40 gallons of a mixture that is 10% grape juice, then we have:
40 × 0.10 = 4 gallons of grape juice.
40 × 0.90 = 36 gallons of other components.
If we add 20 gallons of grape juice, we will end up with 24 gallons of grape juice and 36 gallons of other components, and we will have a total of 60 gallons of the mixture.
So 24/60 of the new mixture is grape juice. Now we convert this to a percent:Percent Grape Juice = 40/100 =40%.
The correct answer is choice (E)
Answer: E
Question: A can finish a work in 24 days, B n 9 days and C in 12 days. B&C start the
work but are forced to leave after 3 days. The remaining work done by A in:
Options:
A)15
B)12
C)10
D)16
E)18
Rationale: (B+C)'s one day's work=1/9+1/12=7/36
Work done by B & C in 3 days=3*7/36=7/12
Remaining work=1-(7/12)=5/12
Now , 1/24 work is done by A in 1 day.
So, 5/12 work is done by A in 24*5/12=10 days
ANSWER C
Answer: C
Question: A boy writes all the numbers from 100 to 999. The number of zeroes that he uses is 'a', the number of 5's that he uses is 'b' and the number of 8's he uses is 'c'.
What is the value of b+c−a?
Options:
A)280
B)380
C)180
D)80
E)90
Rationale: We can see by symmetry b=c and hence all we need to calculate b and a
b=280 and a=180
⇒ 2b−a= 380
Option(B)
Answer: B
Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Options:
A)288
B)2778
C)279
D)450
E)278
Rationale: 10 * 150 = 1500
3 * 100 + 5 * 150 = 1050
1500 – 1050 = 450
Answer:D
Answer: D
Question: How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 720 meters in length?
Options:
A)28
B)27
C)55
D)59
E)12
Rationale: T = (720 + 165)/54 * 18/5
T = 59
Answer: D
Answer: D
Question: Which number should replace both the asterisks in (* /18) x (*/162) = 1 ?
Options:
A)27
B)36
C)54
D)72
E)90
Rationale: Let (y/18) x (y/162) = 1
y^2 = 18 x 162 = 18 x 18 x 9
y = (18 x 3) = 54
The answer is C.
Answer: C
Question: If 3<x<6<y<11, then what is the greatest possible positive integer difference of x and y?
Options:
A)3
B)4
C)5
D)6
E)7
Rationale: 3 < x < 6 < y < 11;
3 < x
y < 11
3 + y < x + 11
y - x < 8.
Positive integer difference is 7 (for example y = 10.5 and x = 3.5)
Answer: E.
Answer: E
Question: Of all the homes on Gotham Street, 2/3 are termite-ridden, and 1/5 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?
Options:
A)a) 2/15
B)b) 8/15
C)c) 4/5
D)d) 2/5
E)e)1/5
Rationale: let total homes be 15
termite ridden= 2/3(15)= 10
termite ridden and collapsing = 1/5(10)=2
thus homes that are termite ridden, but not collapsing = 10-2=8
thus required ratio = 8/15
Answer B
Answer: B
Question: How many of the following numbers are divisible by 3 but not by 9?
2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276
Options:
A)5
B)6
C)7
D)8
E)9
Rationale: Taking the sum of the digits, we have:
S1=9, S2=12, S3=18, S4= 9, S5=21, S6= 12, S7=18, S8=21, S9=15, S10=24.
Clearly S2, S5, S6, S8, S9, S10 are all divisible by 3 but not by 9. So, the number of required numbers= 6.
ANSWER:B
Answer: B
Question: How many W ways are there of placing 6 marbles in 4 bowls, if any number of them can be placed in each bowl?
Options:
A)6C4
B)6P4
C)4^6
D)6^4
E)6!
Rationale: Each marble has 4 options, so there are total of W=4*4*4*4*4*4=4^6 ways.
Answer: C.
The total number of ways of dividing n identical items among r persons, each one of whom, can receive 0,1,2 or more items is (n+r -1)C(r-1).
Answer: C
Question: A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
Options:
A)27782
B)12800
C)28892
D)26702
E)27902
Rationale: 16*8: x*4 = 5:2
x = 12.8 => Rs.12800
Answer: B
Answer: B
Question: A 15% stock yielding 12% is quoted at:
Options:
A)s. 83.33
B)s. 110
C)s. 112
D)s. 125
E)s. 140
Rationale: Income of Rs 12 on investment of Rs 100
Income of Rs 15 on investment of ?
= (15*100)/12=125
ANSWER:D
Answer: D
Question: A group of n students can be divided into equal groups of 3 with 1 student left over or equal groups of 6 with 1 students left over. What is the sum of the two smallest possible values of n?
Options:
A)33
B)46
C)49
D)53
E)86
Rationale: 3x+1 = 6y+1...........ie: 3x-6y = 0
x,y must be >1 and y is even ie ( 2,4,6,..etc)
if y = 2 thus x = 4 and thus n = 13
if y = 4 thus x is =8 and thus n= 25
13+25 = 38
E
Answer: E
Question: A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 14% microphotonics; 24% home electronics; 15% food additives; 19% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
Options:
A)8°
B)10°
C)18°
D)36°
E)72°
Rationale: 14% microphotonics;
24% home electronics;
15% food additives;
19% genetically modified microorganisms;
8% industrial lubricants;
100-(14+24+15+19+8)=20% basic astrophysics.
10% of 360° is 72°.
Answer: E.
Answer: E
Question: How much water must be added to 64 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre?
Options:
A)16 litres
B)12 litres
C)15 litres
D)18 litres
E)None of these
Rationale: C.P. of 1 litre of milk = (20 × 2⁄3) = 40⁄3
∴ Ratio of water and milk = 8⁄3 : 32⁄3 = 8 : 32 = 1 : 4
∴ Quantity of water to be added to 64 litres of milk
= (1⁄4 × 64) litres = 16 litres.
Answer A
Answer: A
Question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Options:
A)22
B)71
C)54
D)77
E)99
Rationale: S = 240/16 * 18/5 = 54 kmph
Answer: C
Answer: C
Question: If 2x + y = 7 and x + 2y = 5, then 5xy/3 =?
Options:
A)A) 5
B)B) 2
C)C) 17/5
D)D) 18/5
E)E) 4
Rationale: 2*(x+2y = 5) equals 2x+4y=10
2x+4y=10
- 2x + y= 7
= 3y=3
Therefore Y = 1
Plug and solve...
2x + 1 = 7
2x=6
x=3
(5*3*1)/3
= 15/3
=5
A
Answer: A
Question: The difference between a number and its two-fifth is 510. What is 50% of that number?
Options:
A)426
B)425
C)427
D)428
E)429
Rationale: Let the number be x. Then,
x - 2/5 x = 510
x = (510 * 5)/3 = 850
50% of 850 = 425.
Answer:B
Answer: B
Question: A soccer coach is preparing his starting lineup of 11 players chosen from 15 players. He considers 8 of his players good at defense and 7 of his players good at offense. If he wants to pick 6 players best at defense and 5 players best at offense, how many different ways can he do this?
Options:
A)264
B)328
C)460
D)588
E)642
Rationale: (8c6)*(7c5)
[8!/(6!*2!)]*[7!/(5!*2!)]
28*21
588
D
Answer: D
Question: A certain company has budgeted $1380 for entertainment expenses for the year, divided into 12 equal monthly allocations. If by the end of the third month, the total amount spent on entertainment was $250, how much was the company under budget or over budget?
Options:
A)$95 under budget
B)$35 under budget
C)$35 over budget
D)$95 over budget
E)$125 over budget
Rationale: The budget for 3 months is (3/12)*$1380 = $345
The company is $95 under budget.
The answer is A.
Answer: A
Question: If nn is a positive integer and (n+1)(n+3)(n+1)(n+3) is odd, then (n+2)(n+4)(n+2)(n+4) must be a multiple of which one of the following?
Options:
A)2
B)4
C)5
D)8
E)10
Rationale: (n+1)(n+3)(n+1)(n+3) is odd only when both (n+1)(n+1) and (n+3)(n+3) are odd. This is possible only when nn is even.
Hence, n=2mn=2m, where mm is a positive integer. Then,
(n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)(n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)
=4 * (product of two consecutive positive integers, one which must be even)=4 * (product of two consecutive positive integers, one which must be even) =4 * (an even number), and this equals a number that is at least a multiple of 8=4 * (an even number), and this equals a number that is at least a multiple of 8
Hence, the answer is (D).
Answer: D
Question: The average mark of a class of twenty two students is 65. If four students whose marks are 25, 32,28 and 34 are removed , then find the approximate average mark of the remaining students of the class.
Options:
A)71
B)73
C)57
D)70
E)80
Rationale: Exp. Total mark of 22 students = 65*22 = 1430,
Total mark after the removal of 4 students = 1430 –(25+32+28+34 )
= 1430 – 119 = 1311
Approximate average mark = 1311/(22-4) = 1311/ 18 = 73
Answer: B
Answer: B
Question: A factory produces 6000 toys per week. If the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
Options:
A)4436 toys
B)1500 toys
C)6113 toys
D)2354 toys
E)1375 toys
Rationale: To find the number of toys produced every day, we divide the total number of toys produced in one week (of 4 days) by 4.
6000 /4 = 1500 toys
correct answer B
Answer: B
Question: In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 88,000, how many purple chips were selected?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: B->1
G->5
P->x; 5<x<11
R->11
NOW, 88000=11*8^2*5^4*1^n
hence
no of balls drawn,
B= CANT BE DETERMINED
G= 4
P= 2 (Only possible value is 8 )
R= 1
hence B
Answer: B
Question: Of the 400 members at a health club, 260 use the weight room and 300 use the pool. If at least 80 of the members do not use either, then the number of members using both the weight room and the pool must be between:
Options:
A)40 to 100
B)240 to 280
C)230 to 260
D)240 to 260
E)200 to 260
Rationale: W=260
P=300
ALL=400
N(NEITHER)=AT LEAST 80
BOTH=?
W+P-BOTH+N=ALL
260+300-BOTH+80=400
BOTH=240
now pay attention to the fact, that both at most can be 260, since W=260
D
Answer: D
Question: From a bunch of six keys, three particular keys have to be used to open a combination lock, such that the second key can be used only after the first key and the third key can be used only after the second key. What are the chances of opening the lock in a random selection of three keys?
Options:
A)1/20
B)1/30
C)1/60
D)1/80
E)1/120
Rationale: The probability is 1/6*1/5*1/4 = 1/120.
The answer is E.
Answer: E
Question: What is the smallest integer k for which 64^k > 4^19?
Options:
A)4
B)5
C)6
D)7
E)8
Rationale: 64^k > 4^19
4^(3k) > 4^19
3k > 19
k = 7
The answer is D.
Answer: D
Question: A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options:
A)20 cm
B)15 cm
C)30 cm
D)40 cm
E)45 cm
Rationale: 1: 2/5 = 5: 2
2/7 * 70 = 20
ANSWER A
Answer: A
Question: There are 18 balls in a jar. You take out 3 black balls without putting them back inside, and now the probability of pulling out a black ball is 1/3. How many blue balls were there in the beginning?
Options:
A)12.
B)9.
C)8.
D)7.
E)6.
Rationale: 8 = 3 blue balls + 15 / 3
Answer: C
Answer: C
Question: A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Options:
A)18:11
B)18:15
C)14:11
D)18:67
E)18:12
Rationale: A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 4 months and then withdraws Rs.4000. So, the investment of B for remaining 14 months is Rs.4000 only.
A : B
8000*18 : (8000*4) + (4000*14)
14400 : 88000
A:B = 18:11.Answer: A
Answer: A
Question: If each term in the sum Q=a1+a2+a3+...+an either 2 or 22 and the sum equals 100, which of the following could be equal to n?
Options:
A)38
B)39
C)40
D)41
E)42
Rationale: Min value of 'n' can be 10 i.e 4*22+6*12 =Q=> 22+22+22+22+2+2+2+2+2+2 = 100
Since we don't have 10 in the options proceed further, (10-1)+22/2 => 20 digits, which is again not in the options
(20-1) + 22/2 = 30 digits ( not in options)
(30-1) + 22/2 = 40 digits
Hence C.
Answer: C
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Options:
A)33
B)88
C)27
D)10
E)88
Rationale: 4/12 + x/15 = 1
x = 10
Answer:D
Answer: D
Question: There are 89 people that own pets. 15 people own only dogs, 10 people own only cats, 5 people own only cats and dogs, 3 people own cats, dogs and snakes. How many total snakes are there?
Options:
A)2
B)4
C)8
D)59
E)32
Rationale: lets assign variables to all the areas in Venn Diagram of Three.
three different Units are DOG, Cat, Snake= Total = 89
Only Dog= d=15
Only Cat = c=10
Only Snake = s
Exactly Dog and Cat= 5
Exactly Dog and Snake = x
Exactly Cat and Snake = y
all three= 3
so 89=15+10+5+3+x+y+s
we need to know total snakes= x+y+s+3 = 59
answer:D
Answer: D
Question: The area of sector of a circle whose radius is 15 metro and whose angle at the center is 42Â° is?
Options:
A)52.6
B)52.9
C)52.8
D)52.1
E)82.5
Rationale: 42/360 * 22/7 * 15 * 15 = 82.5 m2
Answer: E
Answer: E
Question: The expression 10^14−100 is divisible by all of the following integers EXCEPT
Options:
A)2
B)3
C)4
D)8
E)7
Rationale: Yeah. I agree this question has two answers which are (B) and (E). If 10 is power to odd number and equal or more than 5, then the answer choice (E) is correct.
Answer: E
Question: David is able to sell a hand-carved statue for $1150 which was a 15% profit over his cost. How much did the statue originally cost him?
Options:
A)$496.30
B)$512.40
C)$1000
D)$574.90
E)$588.20
Rationale: Cost price = 1150/115*100 = 1000
Answer : C
Answer: C
Question: A certain school implemented a reading program for its students, with the goal of getting each student to read 7 books per month year-round. If the school has c classes made up of s students in each class, how many books will the entire student body read in one year?
Options:
A)20cs
B)cs/2
C)84cs
D)(2cs)/12
E)(24c)/s
Rationale: Ans: C
Solution: simple multiplication s students , c classes , 7 books/ month= 84 books a year
total number of books = 84cs
Answer: C
Question: A sum of money place at compound interest doubles itself in 6 years. In how many years will it amount to eight times itself?
Options:
A)6
B)12
C)18
D)24
E)30
Rationale: 100 ---- 200 ---- 6
400 ---- 6
800 ---- 6
------
18 years
Answer: C
Answer: C
Question: Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Options:
A)5
B)2
C)9
D)7
E)1
Rationale: 1250 = D(100/4)2
D = 2
Answer: B
Answer: B
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
Options:
A)8118
B)8127
C)8618
D)8112
E)8128
Rationale: A = 7500(26/25)2
= 8112
Answer: D
Answer: D
Question: There are 6 red shoes & 4 green shoes . If two of red shoes are drawn what is the probability of getting red shoes
Options:
A)1/3
B)1/4
C)1/2
D)1/5
E)1/6
Rationale: taking 2 red shoe the probablity is 6C2
from 10 shoes probablity of taking 2 red shoe is 6C2/10C2=1/3
ANSWER:A
Answer: A
Question: If 5^y+ 6^(y) = 61, which of the following is the value of y?
Options:
A)5
B)1
C)3
D)4
E)2
Rationale: Plugging in the various option into the equation to find out which is correct:
5^y+ 6^(y) = 61
5^2+ 6^(2) = 61 Ans. E
Answer: E
Question: 7 teams compete in a track competition. If there are 17 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?
Options:
A)3
B)4
C)5
D)6
E)7
Rationale: 3(max wins) x 5 = 15 (5 teams win three events)
One team wins the other two events.
The answer is D.
Answer: D
Question: In a class of 20 students, 2 students did not borrow any books from the library, 8 students each borrowed 1 book, 5 students each borrowed 2 books, and the rest of the students each borrowed at least 3 books. If the average (arithmetic mean) number of books borrowed per student was 2, what is the maximum number of books that any single student could have borrowed ?
Options:
A)3
B)5
C)10
D)13
E)15
Rationale: The average number of books per student was 2means that total of 2*20=40 books were borrowed;
2+8+5=15 students borrowed total of 2*0+8*1+5*2=18 books;
So 40-18=22 books are left to distribute among 20-15=5 students, these 5 arethe rest who borrowed at least 3 books;
Tomaximizethe number of books one student from above 5 could have borrowed we shouldminimizethe number of books other 4 students from 5 could have borrowed. Minimum these 4 students could have borrowed is 3 books per student, so total number of books they could have borrowed is 4*3=12 books. So the 5th student could have borrowed is 22-12=10 books.
Answer: C.
Answer: C
Question: A certain basketball team that has played 2/3 of its games has a record of 18 wins and 2 losses. What is the greatest number of the remaining games that the team can lose and still win at least 3/4 of all of its games?
Options:
A) 7
B) 6
C) 5
D) 4
E) 3
Rationale: 18 wins, 2 losses - total 20 games played.
The team has played 2/3rd of all games so total number of games = 30
3/4th of 30 is 22.5 so the team must win 23 games and can afford to lose at most 7 total games. It has already lost 2 games so it can lose another 5 at most.
Answer (C)
Answer: C
Question: A ferry can transport 100 tons of vehicles. Automobiles range in weight from 1,600 to 3,000 pounds. What is the greatest number of automobiles that can be loaded onto the ferry?
Options:
A)110
B)128
C)115
D)130
E)120
Rationale: to get maximum vehicles we must take into consideration the minimum weight i.e 1600 pounds here
since , 1 ton = 2000 pounds
100 tons will be 200,000 pounds
from the answer choices:
let max number of vehicles be 120
total weight will be = 120*1600 = 192000 pounds , which is lesser than the maximum weight allowed .
Ans: E
Answer: E
Question: A cube is painted red on all faces. It is then cut into 27 equal smaller cubes. How many L cubes are painted on only 2 faces?
Options:
A)12
B)8
C)6
D)10
E)16
Rationale: 1) Draw a simple cube
2) Draw 9 squares on each face of the cube (so that it looks like a Rubik's Cube) - this is what the cube will look like when it's cut into 27 equal smaller cubes.
3) Remember that the OUTSIDE of the cube is the part that's painted....
The mini-cubes with 2 painted sides are ALL on the edge of the cube, in themiddleof the edge. There are 4 in front, 4 in back and 4 more on thestripthat runs around the left/top/right/bottom of the cube.L= 4 + 4 + 4 = 12. Answer A
Answer: A
Question: A computer program assigns consecutive numbers to the days of the week. Sunday is 1, Monday is 2, ..... and Saturday is 7. Every day, the computer program calculates the value of parameter D according to the following definition: D is the number of the day times the value of D on the previous day. If the computer calculated D to be 8 on Wednesday, what would be the value of D calculated on the following Saturday?
Options:
A)1680
B)1830
C)2250
D)2400
E)3260
Rationale: On Saturday, the value would be 7*6*5*8 = 1680
The answer is A.
Answer: A