divelab/Sys2Bench huggingface dataset:
Question: What is the smallest prime number with two sevens in it?
Options:
A)77
B)177
C)277
D)377
E)108794769
Rationale: The smallest positive integers with two sevens are 77, 177, 277, . . . . The first
integer with two sevens that does not end with two sevens is 707.
77 = 7 11, and 177 is divisible by 3 because the sum of its digits is. So now you just need to
check that 277 is prime. There is no particular shortcut to see this – test divisibility by 2, 3, 5,
7, 11, and 13.
correct answer C
Answer: C
Question: If neha is 10
Both Sonali and priyanka is 15
Both sadaf and tanu is 10.
how much is prinka by the same system ?
Options:
A)8
B)11
C)10
D)15
E)6
Rationale: C
prinka is 10, in a system that awards five for each vowel.
Answer: C
Question: Look at this series: 53, 53, 41, 41, 29, 29, ... What number should come next?
Options:
A)A)12
B)B)14
C)C)27
D)D)53
E)E)17
Rationale: In this series, each number is repeated, then 12 is subtracted to arrive at the next number.
Answer: E
Answer: E
Question: If X boxes of grape juice cost 200 cents, how much will Y boxes cost in dollars?
Options:
A)Y*3/x
B)Y*4/x
C)Y*2/x
D)Y*6/x
E)Y*8/x
Rationale: X boxes of grape juice cost 200 cents or 2 dollars.
cost of grape juice = 2/x
Cost of Y grape juices = Y*2/x
Hence Answer : C
Answer: C
Question: √3 percent of 3√3 =
Options:
A)5.2
B)1.0
C)0.1
D)2.0
E)5.0
Rationale: The other solutions are great, but here's one more approach.
First, we scan the answer choices to see that they are quite spread apart. This means we can also use someAPPROXIMATION
All test-takers must memorize the following approximations:
√2 ≈ 1.4
√3 ≈ 1.7
So, √3 percent of 3√3 ≈ 1.7 percent of (3)(1.7)
≈ (1.7/100)(5.1)
≈ 8.67/100
≈ 0.08
Check the answer choices to see that C is the only answer that's close.
Answer: C
Answer: C
Question: Jill is dividing her 16-person class into two teams of equal size for a basketball game. If no one will sit out, how many different match-ups between the two teams are possible?
Options:
A)10
B)25
C)1260
D)2520
E)6435
Rationale: With 16 players, the process of figuring out how many groups of 8 can be formed is pretty straight-forward....
16C8 = 16!/(8!8!) = 12870 possible groups of 8
Once forming that first group of 8, the remaining 8 players would all be placed on the second team by default.
The 'twist' is that the two teams of 8 canshow upin either order:
E
Answer: E
Question: What is the lowest positive integer that is divisible by each of the integers 1 through 12 inclusive?
Options:
A)420
B)840
C)1260
D)2520
E)27,720
Rationale: We have to find the LCM of 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, and 2^2*3.
The LCM is 1*2^3*3^2*5*7*11= 27,720
The answer is E.
Answer: E
Question: On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 310,000 cells two hours ago, approximately how many cells will be populating the colony ten hours from now?
Options:
A)77,500
B)1,860,000
C)12,480,000
D)19,840,000
E)24,960,000
Rationale: 310,000 × 2 × 2×2×2×2×2 = 310,000 × 64 = D
Answer: D
Question: Two trains of equal are running on parallel lines in the same direction at 50 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Options:
A)70 m
B)72 m
C)80 m
D)82 m
E)84 m
Rationale: Let the length of each train be x m.
Then, distance covered = 2x m.
Relative speed = 50 - 36 = 14 km/hr.
= 14 * 5/18 =35/9 m/sec.
2x/36 =35/9 => x = 70.
ANSWER:A
Answer: A
Question: The greatest ratio out of 2:1, 5:8, 3:2, 8:9 and 8:5 is?
Options:
A)2:1
B)3:2
C)5:8
D)8:5
E)8:9
Rationale: 2/1=2
5/8=0.625
3/2=1.5
8/9=0.888
8/5=1.6
ANSWER:A
Answer: A
Question: How many numbers from 10 to 40 are exactly divisible by 3?
Options:
A)13
B)15
C)16
D)10
E)18
Rationale: 12, 15, 18, 21, 24, 27, 30, 33, 36, 39.
10 Numbers.
10/3 = 3 and 40/3 = 13 ==> 13 - 3 = 10. Therefore 10 digits
D)
Answer: D
Question: Each of the following equations Q has at least one solution EXCEPT
Options:
A)Q=–2^n = (–2)^-n
B)Q=2^-n = (–2)^n
C)2^n = (–2)^-n
D)(–2)^n = –2^n
E)(–2)^-n = –2^-n
Rationale: While it is possible to reason out which of these choices must not work, we may not have time or the confidence to do so. However, this problem has variable in its answer choice, and relatively simple math. Therefore, an easy alternative is picking numbers.
Since we're dealing with exponents, we want to keep things as easy as possible. Hence, we'll start with the easiest exponent possible: n = 1. A, B, and C are not solved (x^-n = 1/(x^n), so we're comparing integers to fractions), but choices D and E both end up valid, eliminating them from contention.
In the process of doing this, however, we've uncovered a major clue to our next step: A, B, and C, all compared integers to fractions, and the only integer equal to it's reciprocal is 1, which is equal to 1/1. This, in turn, tells us the we need to pick n = 0. Remember, for all non-zero x, x^0 = 1.
If we plug n = 0 into choices B and C, we end up with 1 = 1 both times. Choice A, however, results in the false 1 = -1. Thus, we conclude that the first choice has no valid solutions, and is therefore the correct answer.
Answer: A
Question: A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m , then the altitude of the triangle is
Options:
A)10√2 m
B)100 m
C)100√2 m
D)200 m
E)None
Rationale: Solution
Let the altitude of the triangle be hïand base of each be b.
Then , (½ ×b× h1) where h2 = 100 m.
= h1 = 2h2
= ( 2 x 100) m
= 200 m.
Answer D
Answer: D
Question: The length and breadth of the floor of the room are 20 feet and 10 feet respectively. Square tiles of 2 feet length of different colours are to be laid on the floor. Black tiles are laid in the first row on all sides. If white tiles are laid in the one-third of the remaining and blue tiles in the rest, how many blue tiles will be there?
Options:
A)16
B)24
C)32
D)48
E)None of these
Rationale: Area left after laying black tiles
= [(20 – 4) × (10 – 4)] sq. ft. = 96 sq. ft.
Area under white tiles = (1⁄3 × 96) sq. ft = 32 sq. ft.
Area under blue tiles = (96 – 32) sq. ft = 64 sq. ft.
Number of blue tiles = 64/2×2=16.
Answer A
Answer: A
Question: A bag contains 70 black balls and 60 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Options:
A)2/5
B)5/7
C)1/2
D)1/4
E)6/13
Rationale: Total number of balls = 70+60 = 130
no. of white balls = 60
probability of drawing a white ball = 60/130 = 6/13
Answer is E
Answer: E
Question: If 20 men can build a wall 66 metres long in 8 days, what length of a similar can be built by 86 men in 8 days?
Options:
A)283.8 mtrs
B)378.4 mtrs
C)478.4 mtrs
D)488.4 mtrs
E)578.4 mtrs
Rationale: If 20 men can build a wall 66 metres long in 8 days,
length of a similar wall that can be built by 86 men in 8 days = (66*86*8)/(8*20) = 283.8 mtrs
ANSWER:A
Answer: A
Question: How many multiples of 6 are there between 30 and 140, 30 and 140 inclusive ?
Options:
A)18
B)16
C)17
D)19
E)15
Rationale: 6 multiples are ...30,36,42,48,54,60,66,72,78,84,90,96,102,108,114,120,126,132,138,...
,...,
the answer is =19
Answer is D
Answer: D
Question: The average height of 50 pupils in a class is 160 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is ?
Options:
A)287 cm
B)151 cm
C)276 cm
D)287 cm
E)161 cm
Rationale: Total height = 160 * 50 = 8000 cm.
New average = [8000 - 5 * 146 + 5 * 156 ] / 50
= 161 cm.
Answer:E
Answer: E
Question: How many 5 digit ( digit = 0 - 9 ) zip codes can exist in which at least one digit is repeated ?
Options:
A)39760
B)49760
C)59760
D)69760
E)70000
Rationale: Zip codes with 5 digits (all five digits can be repeated): 10^5=100,000
Zip codes with no digit being repeated: 10*9*8*7*6=30,240
Zip codes with at least one digit being repeated: 100,000-30,240=69,760
= 69760
ANS:D
Answer: D
Question: Express of the following as a fraction:
56%
Options:
A)14/25
B)13/25
C)11/25
D)17/25
E)None of them
Rationale: 56% = 56/100= 14/25.
Answer is A.
Answer: A
Question: What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, x
Options:
A)23
B)26
C)41
D)35
E)29
Rationale: (D)
The pattern is + 3, + 5, + 3, + 5, …………
So the missing term is = 30 + 5 = 35.
Answer: D
Question: Two trains each 210m in length each, are running on two parallel lines in opposite directions. If one goes at the speed of 90km/h while the other travels at 85km/h. how long will it take for them to pass each other completely.
Options:
A)3 sec
B)2.6 sec
C)3.6 sec
D)8.6 sec
E)7.6 sec
Rationale: Explanation:
D = 210 m +210 m = 420 m
RS = 90 + 85 = 175 * 5/18 = 243/5
T = 420 * 5/243 = 8.6 sec
Answer: Option D
Answer: D
Question: A can do in 6 day and B can do in 8 and C can do in 12 days but b left after working for 6 days for how many no of day A and C shluld work ?
Options:
A)2 days
B)1 day
C)3 days
D)4 days
E)5 days
Rationale: B for one day work is 1/8
he worked for 6 days, so 6*1/8=3/4 work will be completed.
remaining work is 1-3/4=1/4
A and C can complete the work in 4 days
but there is only 1/4 work that is to be completed, so A and C can complete 1/4 work in 1 day..
ANSWER:B
Answer: B
Question: A sum of money becomes double itself in 4 years at simple interest. How many times will it become 10 years at the same rate?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: P ---- 2P ---- 4 years5P ---- 10 years Answer: E
Answer: E
Question: Kim finds a 6-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?
Options:
A)7/5
B)1/2
C)8/15
D)2/5
E)3/5
Rationale: 3 pieces of 1/5 length and two piece each of 1/15 and 2/15 lengths. removing one piece each from pieces of each kind of lengths the all that will remain will be
2 pieces of 1/5 i.e 2/5, 1 piece of 1/15, and 1 piece of 2/15
Which gives us 2/5 + 1/15 + 2/15 -----> 3/5
Answer is E
Answer: E
Question: Mahesh can do a piece of work in 60days. He works at it for 20days and then Rajesh finished it in 30days. How long will Y take to complete the work?
Options:
A)45
B)25
C)37
D)41
E)30
Rationale: Work done by Mahesh in 60days = 20*1/60 = 1/3
Remaining work = 1 - 1/3 = 2/3
2/3 work is done by Rajesh in 30days
Whole work will be done by Rajesh is 30*3/2 = 45days
Answer is A
Answer: A
Question: Anne bought doughnuts for a class breakfast party. She bought 12 chocolate doughnuts, 6 coconut doughnuts, and 8 jam-filled doughnuts. How many doughnuts did Anne buy in all?
Options:
A)25
B)26
C)39
D)21
E)11
Rationale: Add the numbers of doughnuts.
12 + 6 + 8 =26.
Answer is B.
Answer: B
Question: In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 5:3:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?
Options:
A) $900
B) $720
C) $600
D) $450
E) $225
Rationale: To solve this question, it will be best to first express the given ratio using variable multipliers. Thus, we have:
Household Expenses : Food : Miscellaneous = 5x : 3x : x
Since we are told that the TOTAL amount allocated to these categories is $1,800 we can set up the equation:
5x + 3x + x = 1,800
9x = 1,800
x = 200
Thus, the total amount allocated to food is 3 x 200 = $600.
Answer C.
Answer: C
Question: If 20 men can build a wall 66 metres long in 6 days, what length of a similar can be built by 86 men in 8 days?
Options:
A)278.4 mtrs
B)378.4 mtrs
C)478.4 mtrs
D)488.4 mtrs
E)578.4 mtrs
Rationale: If 20 men can build a wall 66 metres long in 6 days,
length of a similar wall that can be built by 86 men in 8 days = (66*86*8)/(6*20) = 11*172/5 = 1892/5 mtrs = 378.4 mtrs
ANSWER:B
Answer: B
Question: In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Options:
A)22
B)44
C)276
D)29
E)12
Rationale: Explanation:
Let the capacity of the can be T litres.
Quantity of milk in the mixture before adding milk = 4/9 (T - 8)
After adding milk, quantity of milk in the mixture = 6/11 T.
6T/11 - 8 = 4/9(T - 8)
10T = 792 - 352 => T = 44.
Answer:B
Answer: B
Question: The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
Options:
A)12
B)6
C)15
D)8
E)14
Rationale: x, 2x
(x-2):(2x-2) = 1:3
3x-6 = 2x-2
x = 4
x+2x = 3x
=> 3*4 = 12
ANSWER A
Answer: A
Question: Suppose 10 monkeys take 20 minutes to eat 10 bananas. How many monkeys would it take to eat 80 bananas in 80 minutes?
Options:
A)9
B)10
C)11
D)20
E)13
Rationale: One monkey takes 20 min to eat 1 banana , so in 80 mins 1 monkey will eat 4 bananas , so for 80 bananas in 80 min we need 80/4 =20 monkeys
ANSWER:D
Answer: D
Question: 10 men do a work in 10days. How many men are needed to finish the work in 2days?
Options:
A)50
B)20
C)30
D)10
E)15
Rationale: men required to finish the work in 2days = 10*10/2 = 50
Answer is A
Answer: A
Question: A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum." The woman's age is?
Options:
A)25 years
B)65 years
C)45 years
D)75 years
E)95 years
Rationale: Let x and y be the ten's and unit's digits respectively of the numeral denoting the woman's age.
Then, woman's age = (10X + y) years; husband's age = (10y + x) years.
Therefore (10y + x)- (10X + y) = (1/11) (10y + x + 10x + y)
(9y-9x) = (1/11)(11y + 11x) = (x + y) 10x = 8y x = (4/5)y
Clearly, y should be a single-digit multiple of 5, which is 5.
So, x = 4, y = 5.
Hence, woman's age = 10x + y = 45 years.
View Answer Discuss in Forum
Answer:C
Answer: C
Question: A certain telephone number has seven digits. If the telephone number has the digit zero exactly 3 times, and the number 1 is not used at all, what is the probability that the phone number contains one or more prime digits.
Options:
A)1/24
B)1/16
C)1/2
D)15/16
E)23/24
Rationale: First step of getting rid of 3 digits of containing zeros is right: we are left with 4 digit number each of which can be one of 8 digit (2,3,4,5,6,7,8,9 as 0 is already used in first three and 1 is not used).
Next step:
total number of combinations possible 8^,
combinations with NO PRIME 4^4,
P(no prime)=4^4/8^4=1/2^4
P(p>=1)=1-1/2^4=15/16
Answer D.
Answer: D
Question: Look at this series: 2, 6, 18, 54, ... What number should come next?
Options:
A)108
B)148
C)162
D)216
E)None
Rationale: Explanation: This is a simple multiplication series. Each number is 3 times more than the previous number.
Answer: Option C
Answer: C
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Options:
A)1.4
B)1.8
C)1.2
D)1.5
E)1.9
Rationale: M = 4.5
S = x
DS = 4.5 + x
US = 4.5 + x
4.5 + x = (4.5 - x)2
4.5 + x = 9 -2x
3x = 4.5
x = 1.5
Answer:D
Answer: D
Question: The average age of 3 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. The average age of the two new men is
Options:
A)22
B)30
C)25
D)38
E)27
Rationale: total age increased = (3 * 2) years = 6 years.
Sum of ages of two new men = (21 + 23 + 6) years = 50 years
Average age of two new men = (50/2) years = 25 years.
Answer: C
Answer: C
Question: A retail store sells higher end dresses for $40 each and lower end dresses for $20 each. On every higher end dress the retail store makes a profit of $4 while on every lower end dress it makes a profit of $1. If on a given day the store's sales amounted to $400, which of the following cannot be the profit made on that day?
Options:
A)$26
B)$27
C)$30
D)$34
E)$40
Rationale: $27 is the only option that does not fit into a combination of higher end and lower end sales profits, given the total sales of the day. Answer: B
Answer: B
Question: I walk a certain distance and ride the car back taking a total time of 33 minutes. I could walk both sides in 45 min. How long would it take me to ride both ways?
Options:
A)19min
B)20min
C)21min
D)22min
E)23min
Rationale: Explanation :
Time taken in walking a certain distance
from X and Y = 22 1/2 min
Time taken in riding the same distance
= 33 - 22 1/2 = 10 1/2 min
It will take 21 min to ride both ways.
Answer : C
Answer: C
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 20%?
Options:
A)228
B)480
C)512
D)288
E)276
Rationale: SP = 800
Profit = 25%
CP = (SP)*[100/(100+P)]
= 800 * [100/125]
= 640
Loss = 25% = 25% of 640 = Rs.128
SP = CP - Loss = 640 - 128 = Rs.512
Answer: C
Answer: C
Question: The Winston Pool League played a total of 90 balls of which the ladies sank 30%. After getting a good night's sleep, the ladies came back the next day and sank each of the next balls played bringing their average to 50%. How many ball did the league play for the ladies to achieve this average?
Options:
A)25
B)30
C)46
D)26
E)36
Rationale: Explanation: Identify the parts, set up equation, and solve.
Number of balls initially sank by the ladies:
30% * 90 = 27
Total balls sank by the ladies leaving their average at 50%. (Let x represent the unknown number of additional balls sank by the ladies.) Therefore, the total number of balls played is 90+x, and the total number of balls sank by the ladies is 27+x. This gives the equation as:
50%*(90+x)=27+x
Solve: Let's get rid of the percent sign
50/100*(90+x)=27+x
1/2 *(90+x)=27+x
Get rid of the fraction:
2[1/2 * (90+x)]=2(27+x)
1 * (90+x) =54+2x
90+x =54+2x
(90-54)+x = (54-54)+2x
36+x= 2x
36=x
Answer: E
Answer: E
Question: Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $650 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received $725 as interest. What was the value of his total savings before investing in these two bonds?
Options:
A)1000
B)1,250
C)2,250
D)3,250
E)4,250
Rationale: So, we know that Shawn received 20% of the amount he invested in a year. We also know that in one year Shawn received $325, thus 0.2x = $325 --> x = $1625
Since, he invested equal sums in his 2 bonds, then his total savings before investing was 2*$1,625 = $3,250
Answer D
Answer: D
Question: A palindrome is a number that reads the same forward and backward, such as 787. How many even, 8-digit numbers are palindromes?
Options:
A)4055
B)4500
C)5000
D)9000
E)4000
Rationale: First recognize you only need to consider the first four digits (because the second four are just the first four flipped)
There are 9000 possibilities for the first four digits of a 8 digit number, 1000-9999 inclusive. Everything starting with a 2,4,6,8 will be odd, which is 4/9ths of the combinations.
4/9*9000 = 4000
ANSWER:E
Answer: E
Question: Calculate the ratio between x and y if 30% of x equal to 50% of y?
Options:
A)4 : 5
B)3 : 5
C)3 : 7
D)3 : 2
E)4 : 5
Rationale: Explanation:
30 x = 50 y
x: y = 30: 50 = 3 : 5
Answer:B
Answer: B
Question: If the wages of 6 men for 15 days be Rs.2100, then find the wages of
for 12 days.
Options:
A)Rs.2420
B)Rs.2500
C)Rs.2520
D)Rs.2020
E)Rs.2650
Rationale: . Let the required wages be Rs. x.
More men, More wages	(Direct Proportion)
Less days, Less wages	(Direct Proportion)
Men 6: 9 : :2100:x
Days 15:12
Therefore (6 x 15 x x)=(9 x 12 x 2100)  x=(9 x 12 x 2100)/(6 x 15)=2520
Hence the required wages are Rs. 2520.
Answer is C
Answer: C
Question: To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. Find how many parts the company made and how many days this took.
Options:
A)475 pieces.
B)575 pieces.
C)675 pieces.
D)775 pieces.
E)None of these
Rationale: Solution:
Let xx be the number of days the company worked. Then 25x is the number of parts they planned to make. At the new production rate they made:
3⋅25+(x−3)⋅30=75+30(x−3)
Therefore: 25x=75+30(x−3)−100
25x=75+30x−90−100
190−75=30x−25
115=5x
x=23
So the company worked 23 days and they made 23⋅25+100=675 pieces.
Answer C
Answer: C
Question: Let p be a prime number. If N = 8p, how many distinct even divisors does N have?
Options:
A)1
B)4
C)5
D)2
E)3
Rationale: The correct answer is D. There are two: 2 and 2p.
8p = 2*2*2p = (2*2)*2p. Since we care only about distinct divisors, we ignore the fact that 2 appears three times.
Answer: D
Question: A boy is travelling from his home to school at 12 km/hr and reached 7 min late. Next day he traveled at 16 km/hr and reached 8 min early. Distance between home and school?
Options:
A)12km
B)13km
C)14km
D)15km
E)16km
Rationale: Let the distance be x
T1 = x/12 hr
T2 = x/16hr
Difference in time = 7+8 = 15 =1/4hr
x/12-x/16 = 1/4
x/48 = 1/4
x = 12 km
Answer is A
Answer: A
Question: What is the lowest positive integer that is divisible by each of the integers 1 through 8 inclusive?
Options:
A)420
B)840
C)1260
D)2520
E)5020
Rationale: We have to find the LCM of 1, 2, 3, 2^2, 5, 2*3, 7, and 2^3.
The LCM is 1*2^3*3*5*7= 840
The answer is B.
Answer: B
Question: Find the odd man out
6, 26, 106, 426, 1706, 4325, 27304
Options:
A)6
B)26
C)426
D)4325
E)6826
Rationale: 1*4+2 = 6
6*4+2 = 26
26*4+2 = 106
106*4+2 = 426
426*4+2 = 1706
1706*4+2 = 6826
6826*4+2= 6826
ANSWER:D
Answer: D
Question: The pilot of a small aircraft with a 40-gallon fuel tank wants to fly to Cleveland, which is 520 miles away. The pilot recognizes that the current engine, which can fly only 8 miles per gallon, will not get him there. By how many miles per gallon must the aircraft’s fuel efficiency be improved to make the flight to Cleveland possible?
Options:
A)5
B)4
C)12
D)40
E)160
Rationale: Actual miles/gallon is = 520/40 = 13 miles/gallon.
Current engine miles/gallon is 8 miles/gallon.
Additional 5 miles/gallon is required to match the actual mileage.
IMO option A.
Answer: A
Question: A boat can travel with a speed of 22 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 189 km downstream
Options:
A)5 hours
B)4 hours
C)3 hours
D)2 hours
E)7 hours
Rationale: Explanation :
Speed of the boat in still water = 22 km/hr
speed of the stream = 5 km/hr
Speed downstream = (22+5) = 27 km/hr
Distance travelled downstream = 189 km
Time taken = distance/speed = 189/27 = 7 hours. Answer : Option E
Answer: E
Question: A bag of n peanuts can be divided into 9 smaller bags with 6 peanuts left over. Another bag of m peanuts can be divided into 12 smaller bags with 4 peanuts left over. What will be the remainder when nm is divided by 6?
Options:
A)2
B)1
C)0
D)3
E)4
Rationale: n = 9x + 6
m = 12y + 4
nm = (9x + 6)*(12y + 4) = 108xy + 36x + 72y + 24
Remainder of nm/6 = (108xy + 36x + 72y + 24)/6
Observe that the first three terms are a multiple of 6
hence there will be no remainder
Correct Option: C
Answer: C
Question: The value of a laptop depreciates at the rate of 30% every year. It was purchased 2 years ago. If its present value is Rs. 3430, its purchase price was
Options:
A)6000
B)6500
C)7000
D)7500
E)8000
Rationale: Explanation:
= Rs.7000
Answer: C
Answer: C
Question: If x = -3/8 and y = -1/2, what is the value of the expression -2x – y^2?
Options:
A)-3/2
B)-1
C)1
D)1/2
E)7/4
Rationale: -2X- y^2
-2x-3/8 - (-1/2)^2
3/4-1/4
1/2
D correct
Answer: D
Question: There are 8 books in a shelf that consist of 1 paperback books and 7 hardback books. If 3 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
Options:
A)21
B)45
C)50
D)55
E)60
Rationale: 8C3 [Select any four] - 7C3 [Select all hard backs] = 21
A
Answer: A