divelab/Sys2Bench huggingface dataset:
Question: A palindrome is a number that reads the same front-to-back as it does back-to-front (e.g. 202, 575, 1991, etc.) p is the smallest integer greater than 500 that is both a prime and a palindrome. What is the sum of the digits of p?
Options:
A)3
B)4
C)5
D)6
E)7
Rationale: Given that p is smallest integer greater than 200 - assume there is a 3-digit that satisfies the above conditions. Let the number be xyx ; question asks us the values of 2x+y
We can straight away cross out options A) and D) - sum of digits 3 or 6 implies it is divisible by 3 ---> we know that p is a prime number
Coming to option B) 2x + y = 4 --> only x = 2 and y = 0 satisfy this equation ( x> 2 will never give sum of digits = 4) ; but 202 is divisible by 2 ; we know that p is a prime number
Similarly option C) 2x+y = 5 --> only x = 2 and y = 1 satisfy this equation ( x> 2 will never give sum of digits = 5) ; but 212 is divisible by 2 ; we know that p is a prime number
Therefore answer option should be E ---> can be verified by taking 2x+y = 7 ---> x = 3 and y = 1 ; gives 313
B
Answer: B
Question: Baseball's World Series matches 2 teams against each other in a best-of-seven series. The first team to win four games wins the series and no subsequent games are played. If you have no special information about either of the teams, what is the probability L that the World Series will consist of fewer than 7 games?
Options:
A) 12.5%
B) 25%
C) 31.25%
D) 68.75%
E) 75%
Rationale: Your explanation is very close toManhattan GMAT's official answer - it's quite uncanny:
"There are many other ways this could happen. Using the permutation formula, there are 6!/(3!)(3!) = 20 ways for the two teams to split the first 6 games (3 wins for each).
There are then 2 possible outcomes to break the tie in Game 7. Thus, there are a total of 202 = 40 ways for the World Series to last the full 7 games.
The probability that any one of these 40 ways occurs can be calculated from the fact that the probability of a team winning a game equals the probability of a team losing a game = 1/2.
Given that 7 distinct events must happen in any 7 game series, and that each of these events has a probability of 1/2, the probability that any one particular 7 game series occurs is.
Since there are 40 possible different 7 game series, the probability that the World Series will last exactly 7 games is: (1/2)^7 = 1/128
40*1/128 = 40/128 = 31.25%
Thus the probability L=that the World Series will last less than 7 games is 100% - 31.25% = 68.75%.
The correct answer is D."
Answer: D
Question: A group of medical interns at Bohemus Medical School want to go on dates. There are 3 girls and 3 guys. Assuming girls go on dates with guys, how many possible ways can these 6 medical interns date each other?
Options:
A)A)2
B)B)3
C)C)4
D)D)5
E)E)6
Rationale: 1st girl can go with 3 guys
2nd girl can go with remaining 2
3rd girl can go with remaining 1
so the total ways are 3!= 6
E should be the answer
Answer: E
Question: A certain bakery baked a batch of 550 cookies one day. Of those, 320 contained nuts, 230 contained chocolate chips, and 85 contained neither nuts nor chocolate chips. What is the fewest possible number of cookies with both chocolate chips and nuts that would need to be added to that batch so that cookies with both nuts and chocolate chips represented more than 3/5 of all the cookies in the batch?
Options:
A)166
B)275
C)413
D)438
E)613
Rationale: Cookies which have both nuts and chocolate chips = 85
Let fewest possible number of cookies with both chocolate chips and nuts that would need to be added to that
batch so that cookies with both nuts and chocolate chips represented more than 3/5 of all the cookies in the batch = x
(85+x)/(550+x) = 6/10
=>850 + 10x = 3300 + 6x
=> 4x = 2450
=> x = 612.5
Therefore x = 613
Answer E
Answer: E
Question: Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?
Options:
A)12, 9
B)10, 5
C)12, 7
D)11, 6
E)12, 6
Rationale: x – y = 5
4x – 6y = 6
x = 12 y = 7
ANSWER:C
Answer: C
Question: After a business trip to London, Michele has enough time to visit three European cities before returning home. If she has narrowed her list to six cities that she'd like to visit - Paris, Barcelona, Rome, Munich, Oslo, and Stockholm - but does not want to visit both Oslo and Stockholm on the same trip, how many different sequences of three cities does she have to choose from?
Options:
A)36
B)48
C)72
D)96
E)120
Rationale: Sequence of cities she can visit without any restrictions= 6*5*4= 120
Sequence of cities she can visit if she visits both Oslo and Stockholm on the same trip= 3*2 *1 *4 (after choosing Oslo and Stockholm, she is left with 4 cities to choose from)= 24
Sequence of cities to choose with restrictions= 120-24= 96
D is the answer
Answer: D
Question: A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, at what speed is the train travelling?
Options:
A)61 km/hr
B)56 km/hr
C)63 km/hr
D)60 km/hr
E)70 km/hr
Rationale: 21 telephone posts in 1 min
No of gaps b/w 21 posts = 20
adjacent post = 50 m
20*50 = 1000 m in 1 min
dist = 1000 m = 1 km
time = 1 min = 1/60 hr
speed = 1/(1/60) = 60 km/hr
ANSWER D
Answer: D
Question: The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
Options:
A)Rs. 3700
B)Rs. 3800
C)Rs. 3900
D)Rs. 4000
E)Rs. 4200
Rationale: Let the cost of a chair and that of a table be Rs. x and Rs. y respectively.
Then, 10x = 4y or y = 5 x.
2
15x + 2y = 4000
15x + 2 x 5 x = 4000
2
20x = 4000
x = 200.
So, y = 5 x 200 = 500.
2
Hence, the cost of 12 chairs and 3 tables = 12x + 3y
= Rs. (2400 + 1500)
= Rs. 3900.
C)
Answer: C
Question: At a constant Rate of flow, it takes 60 minutes to fill a swimming pool if a large hose is used and 90 minutes if a small hose is Used. At these constant rates, how many minutes will it take to fill the pool when both hoses are used simultaneously?
Options:
A)20
B)25
C)28
D)36
E)33
Rationale: time taken to fill the pool by Large Hose =30 minutes =L or 1/L=1/60 similarly 1/S=1/90
simultaneously it will take 1/L+1/S=1/60+1/90=5/180=36 minutes
Answer : D
Answer: D
Question: The sale price sarees listed for Rs.298 after successive discount is 12% and 15% is?
Options:
A)321
B)223
C)245
D)265
E)162
Rationale: Explanation:
298*(88/100)*(85/100) = 223
Answer: B
Answer: B
Question: A milk man has 15 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk.If the cost of pure milk is Rs.18 per liter,then the profit of the milkman, when he sells all the mixture at cost price is:
Options:
A)20%
B)25%
C)33.33%
D)18%
E)None of these
Rationale: Explanation:
when the water is freely available and all the water is sold at the price of the milk, then the water gives the profit on the cost of 20 liters of milk.
Therefore, profit percentage = 20 %. Answer: A
Answer: A
Question: 45% of major airline companies equip their planes with wireless internet access. 70% of major airlines offer passengers free on-board snacks. What is the greatest possible percentage of major airline companies that offer both wireless internet and free on-board snacks?
Options:
A)25%
B)35%
C)45%
D)55%
E)65%
Rationale: To maximize the percentage of companies offering both, let's assume that all 45% of companies which offer wireless internet also offer snacks.
The answer is C.
Answer: C
Question: How much interest will $10,000 earn in 9 months at an annual rate of 6%?
Options:
A)$250
B)$350
C)$450
D)$550
E)$650
Rationale: Soln:-
9 months = 3/4 of year;
6% = 6/100=3/50;
$10,000(principal)*3/50(interest rate)*3/4(time)=$450.
ANSWER:C
Answer: C
Question: A salad bowl of 4 ingredients is chosen from 3 types of lettuce and 4 types of tomatos. The salad must have at least 1 type of lettuce and at least 2 types of tomatos. How many ways can this salad be made?
Options:
A)106
B)30
C)16
D)18
E)12
Rationale: Solution: We have two possibilities 1L 3T or 2L 2T
(3C1)(4C3)+(3C2)(4C2)=30
B) 30
Answer: B
Question: Difference of two numbers is 1620. If 7.5% of the number is 12.5% of the other number , find the number ?
Options:
A)2660, 1000
B)3660, 2000
C)3000, 4160
D)2430, 4050
E)4660, 3000
Rationale: Let the numbers be x and y. Then, 7.5 % of x =12.5% of y
X = 125*y/75 = 5*y/3.
Now, x-y =1620
5*y/3 –y =1620
2*y/3= 1620
y =[ (1620*3)/2] =2430.
One number = 2430, Second number =5*y/3 =4050.
Answer D.
Answer: D
Question: A group of men decided to do a work in 6 days, but 4 of them became absent. If the rest of the group did the work in 12 days, Find the original number of men?
Options:
A)15
B)6
C)40
D)10
E)8
Rationale: Original number of men = 4*12 / (12-6) = 8
Answer is E
Answer: E
Question: Eesha bought 18 sharpeners for Rs.100. She paid 1 rupee more for each white sharpener than for each brown sharpener. What is the price of a white sharpener and how many white sharpener did she buy ?
Options:
A)s.6, 19
B)s.6, 10 white sharpener
C)s.6, 16
D)s.6, 11
E)s.6, 12
Rationale: Explanation: Just check the options. If she bought 10 white sharpeners at Rs.6 per piece, She has spent Rs.60 already. And with the remaining Rs.40, she bought 8 brown sharpeners at 40/8 = Rs.5 which is Rs.1 less than White sharpener.
Sol: B
Answer: B
Question: A cow and horse are bought for Rs.2,00,000. The cow is sold at a profit of 20% and the horse is sold a t a loss of 10%. The overall gain is Rs.4000, the Cost price of cow?
Options:
A)2 percent
B)3
C)4
D)5
E)6
Rationale: Ans: Overall profit = 4000200000×100=2%4000200000×100 =2%
By applying alligation rule, we get
Answer:A
Answer: A
Question: Two stations A and B are 245 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Options:
A)9
B)10
C)11
D)12
E)1
Rationale: Suppose they meet x hours after 7 a.m.
Distance covered by A in x hours = 20x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
Therefore 20x + 25(x - 1) = 245
45x = 270
x = 6.
So, they meet at 1 p.m.
Answer: Option E
Answer: E
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 3?
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, 3, 6, 9.
Four digit # possible without the restriction (about the digit 2): 4*5*4*4=320
Answer: E.
Answer: E
Question: A batch of cookies was divided amomg 4 tins: 2/3 of all the cookies were placed in either the blue or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin
Options:
A)15/2
B)9/4
C)5/9
D)7/5
E)5/8
Rationale: This will help reduce the number of variables you have to deal with:
G + B = 2/3
R = 1/4
B = 1/4
We can solve for G which is 5/12
What fraction (let it equal X) of the cookies that were placed in the other tins were placed in the green tin?
So..
X*(G+R)=G
X*(5/12 + 1/4) = 5/12
X = 5/8
ANSWER: E
Answer: E
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Options:
A)5.72
B)5.29
C)5.76
D)5.39
E)5.29
Rationale: M = 6
S = 1.2
DS = 7.2
US = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
D = 2.88 * 2
=5.76
Answer:C
Answer: C
Question: For every integer n ≥ 3, the function g(n) is defined as the product of all the odd integers from 1 to n, inclusive. What is the value of g(101) – g(99)?
Options:
A)0
B)98
C)99
D)100
E)90
Rationale: g(101) = 1*3*5*7*9*...*99*101
g(99) = 1*3*5*7*9*...*99
g(101) - g(99) = 1*3*5*7*9*...*99*101 - 1*3*5*7*9*...*99 = 1*3*5*7*9*...*99*(101 - 1) = 1*3*5*7*9*...*99*100
hence:D
Answer: D
Question: Two cars are driving toward each other. The first car is traveling at a speed of 100 km/h, which is 25% faster than the second car's speed. If the distance between the cars is 720 km, how many hours will it take until the two cars meet?
Options:
A)3
B)3.5
C)4
D)4.5
E)5
Rationale: The speed of the first car is 100 km/h.
The speed of the second car is 100 / 1.25 = 80 km/h.
The two cars complete a total of 180 km each hour.
The time it takes the cars to meet is 720 / 180 = 4 hours.
The answer is C.
Answer: C
Question: The value of a machine depreciates at 25% per annum. If its present value is $1,50,000, at what price should it be sold after two years such that a profit of $24,000 is made?
Options:
A)$258375
B)$438375
C)$128375
D)$108375
E)$158375
Rationale: The value of the machine after two years = 0.75 * 0.75 * 1,50,000 = $84,375
SP such that a profit of $24,000 is made = 84,375 + 24,000 = $1,08,375
D
Answer: D
Question: What is the sum of the greatest common factor and the lowest common multiple of 36 and 56?
Options:
A)592
B)520
C)508
D)560
E)584
Rationale: Prime factorization of the given numbers
36= 2^2 * 3^2
56= 2^3 *7
Greatest common factor = 4
Lowest common multiple = 504
Sum = 4+ 504 = 508
Answer C
Answer: C
Question: How many words, with or without meaning, can be formed using all letters of the word BEAUTIFUL using each letter exactly once?
Options:
A)388,620
B)388,260
C)362,880
D)352,880
E)342,880
Rationale: The Word BEAUTIFUL has exactly 9 letters which are all different.
Therefore the number of words that can be formed = Number of permutations of 9 letters taken all at a time.
= P (9, 9) = 9!
= 9 x 8 × 7 x 6 × 5 x 4 x 3 x 2 × 1
= 362,880
ANSWER:C
Answer: C
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Options:
A)12/428
B)12/420
C)12/455
D)12/429
E)12/419
Rationale: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
When three marbles are drawn, the probability that one is yellow and two are red
= (2C1)(4C2)/15C3
= (2 * 4 * 3 * 3 * 2)/(1 * 2 * 15 * 14 * 13)
= 12/455
Answer:C
Answer: C
Question: A firm is comprised of partners and associates in a ratio of 2:63. If 35 more associates were hired, the ratio of partners to associates would be 1:34. How many partners are currently in the firm?
Options:
A)12
B)14
C)16
D)18
E)20
Rationale: The ratio 1:34 = 2:68 so the ratio changed from 2:63 to 2:68.
68-63 = 5 which is 1/7 of the increase in 35 associates.
The ratio changed from 14:441 to 14:476.
Thus the number of partners is 14.
The answer is B.
Answer: B
Question: Find the odd man out. 18, 16, 12, 24, 21, 34, 46
Options:
A)16
B)46
C)24
D)21
E)18
Rationale: Explanation :
21 is the only odd number in the given series
Answer : Option D
Answer: D
Question: A train 120 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Options:
A)443 m
B)354 m
C)450 m
D)380 m
E)250 m
Rationale: D
350
D = 72 * 5/18 = 25 = 500 â€“ 120 = 380
Answer: D
Question: If p ≠ 1 and if qp/(q - p) = 1, what is the value of q in terms of p?
Options:
A)(p+1)/p
B)(p - 1)/p
C)p/(p + 1)
D)p/(1-p)
E)(1 - p)/p
Rationale: This question comes with a particular 'quirk' (one that you probably won't see on Test Day). The GMAT won't test you on the concept of undefined numbers (re: numbers divided by 0), so any time that this concept is a possibility, the question writers have to add a restriction that removes the option that a 0 could occur in the denominator.
Here, we're told that B CANNOT = 1, which is a bit strange because that restriction doesn't seem to impact the original equation much. In fact, it impacts JUST ONE of the answer choices - so you have to ask WHY that restriction is even there. It's actually because that one answer is the correct one.
Final Answer:
D
Answer: D
Question: The probability of rain showers in Barcelona on any given day is 0.4. What is the probability that it will rain on exactly one out of three straight days in Barcelona?
Options:
A)0.144
B)0.072
C)0.432
D)0.72
E)0.288
Rationale: P(Rain) = 0.4 = 2/5
So, P(no rain) = 0.6 = 3/5
Let R represent Rain, and let N represent no rain
So, P(Rain exactly once) = P(R-N-N OR N-R-N OR N-N-R)
= P(R-N-N) + P(N-R-N) + P(N-N-R)
= (2/5)(3/5)(3/5) + (3/5)(2/5)(3/5) + (3/5)(3/5)(2/5)
= 18/125 + 18/125 + 18/125
= 54/125
NO DECIMAL CONVERSION NEEDED
Notice that 62.5/125 = 1/2 = 0.5, so 54/125 = a little less than 0.5
Answer:C
Answer: C
Question: Which one of the given numbers is divisible by 11?
Options:
A)4823718
B)8423718
C)8432718
D)4872318
E)4852718
Rationale: Explanation:
4872318 = (4+7+3+8) – (8+2+1) = 11
So, the given number is divisible by 11
Answer:D
Answer: D
Question: If the cost price of 18 articles is same as the selling price of 25 articles. Find the gain or loss percentage?
Options:
A)30% Gain
B)28% Loss
C)40% Gain
D)40% Loss
E)50% Loss
Rationale: Explanation:
18 cp = 25 sp
Cost price CP = 25
Selling price SP = 18
Formula = (SP-CP)/CP * 100 = (18 - 25)/25 * 100 = 28 % Loss
Answer: Option B
Answer: B
Question: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
Options:
A)17327
B)15008
C)13272
D)15000
E)12822
Rationale: Explanation:
The ratio of their profits A:B = 8:12 = 2:3
Share of A in the total profit = 2/5 * 25000 = Rs.10000 Share of A in the total profit = 3/5 * 25000 = Rs.15000
Answer: D
Answer: D
Question: What least no. must be subtracted from 10154 so that remaining no.is divisible by 30?
Options:
A)10
B)12
C)14
D)8
E)9
Rationale: Explanation:
On dividing 10154 by 30 we get the remainder 14, so 14 should be subtracted
Option C
Answer: C
Question: The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?
Options:
A)5 years
B)7 years
C)9 years
D)6 years
E)12 years
Rationale: 100 ---- 300 --- 3
900 --- 3
----
6 years
Answer: D
Answer: D
Question: A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 20 m long and 14 m wide. If the earth dug out is evenly spread out over the field, the level of the field will raise by nearly?
Options:
A)1390
B)2987
C)2889
D)2689
E)2891
Rationale: 2(25 * 15 + 15 * 8 + 25 * 8)
2(375 + 120 + 200)
=> 1390
Answer: A
Answer: A
Question: Rahul's Mathematics test had 75 problems, 10 arithmetic, 30 algebra, 35 geometry problems.
Although he answered 70% of arithmetic, 40% of arithmetic and 60% of geometry problems correctly,
still he got less than 72% problems right. How many more questions he would have to answer more to get
passed
Options:
A)5
B)14
C)7
D)8
E)9
Rationale: Explanation:
Number of questions attempted correctly = (70% of 10 + 40% of 30 + 60% of 35)
= 7 + 12 + 21 = 40.
Questions to be answered correctly for 72% = 72% of total quations
= 72 % of 75 = 45.
He would have to answer 54 - 40 = 14
Answer: Option B
Answer: B
Question: The area of a square field is 7201 sq m. How long will a lady take to cross the field diagonally at the rate of 1.2 km/hr?
Options:
A)6 min
B)5 min
C)5.5 min
D)4 min
E)3 min
Rationale: Area of a square field = 7201 sq m
Let the side of square = a
a^2 = 7201
=> a = 84.86
Diagonal = (2)^(1/2) * a
= 1.414 * 84.86
=120
Speed of lady = 1.2 km / hour
= 1200 m / hour
= 20 m / min
Time taken by lady to cross the field diagonally = 120/20 = 6 min
Answer A
Answer: A
Question: A bowl was filled with 10 ounces of milk, and 0.002 ounce of the milk evaporated each day during a 50-day period. What percent of the original amount of milk evaporated during this period?
Options:
A)A)0.001%
B)B)0.01%
C)C)1%
D)D)10%
E)E)12%
Rationale: Total amount of milk evaporated each day during a 50-day period = .002 * 50
=.002 * 100/2
= .2/2
= .1
percent of the original amount of milk evaporated during this period = (.1/10) * 100%
= 1 %
Answer C
Answer: C
Question: The area of a square is equal to five times the area of a rectangle of dimensions 20 cm * 16 cm. What is the perimeter of the square?
Options:
A)289 cm
B)160 cm
C)829 cm
D)288 cm
E)289 cm
Rationale: Area of the square = s * s
= 5(20* 16)
=> s = 40
= 40 cm
Perimeter of the square
= 4 * 40
= 160 cm.
Answer: B
Answer: B
Question: If n is a non-negative integer such that 6^n is a divisor of 5,178,791, what is the value of n^6 – 6^n?
Options:
A)- 11
B)- 1
C)0
D)1
E)11
Rationale: Let us say that n = 0 then 6^0 = 1 which is a divisor of any number.
Now the question is asking the value of 0^6 - 6^0 = -1
ANSWER:B
Answer: B
Question: Find the lowest positive integer that can be divided by each of the following integers: 8,9,10,11,12,13,
Options:
A)51480
B)6000
C)34872
D)2348
E)2345
Rationale: To get the least positive integer that can be divided by each of these numbers 8,9,10,11,12,13, you calculate the lowest common denominator of all the numbers. Express each number as a product of their prime factors and multiply the set of prime numbers from each set with the highest exponent value.
LCM=2^3*3^2*5*11*13
The answer is A)
Answer: A
Question: Bill has d animals, 20 of which were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, Bill made neither a profit nor a loss. Which of the following is equal to d?
Options:
A)6
B)12
C)18
D)24
E)30
Rationale: Total d animals, suppose each has price of x - total price = dx
now 20 were sold at profit of 10%, making equation - - 20*1.1x
now d-20 were sold at loss of 20%, making eqn --- (d-20)*0.8x
Now he made no profit or loss so,
dx = 20*1.1x + (d-20)*0.8x
solving for d, we get d=30
Ans E
Answer: E
Question: What is the value of 16^2 + 17^2 + 18^2 + 19^2 + 20^2 + 21^2 + 22^2 + 23^2 + 24^2 ?
Options:
A)3298
B)3660
C)3670
D)3328
E)3338
Rationale: This is what I did, all the nos are close to 20, and squared, so 20^2 plus there are 9 numbers, so (20)^2 x 9 =3600,
now squaring the last digits of each no individually comes up to (16+9+4+1+0+1+4+9+16) = 60.
when you add the 2 up it gives you a (3600+60) =3660,
Answer is B
Answer: B
Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Options:
A)17 1/9
B)17 1/3
C)17 1/7
D)17 1/9
E)17 1/1
Rationale: 1/20 + 1/30 - 1/40 = 7/120
120/7 = 17 1/7
Answer: C
Answer: C
Question: A rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing. If the poles of the fence are kept 4 metres apart, how many poles will be needed ?
Options:
A)55
B)70
C)57
D)58
E)None of these
Rationale: Solution
Perimeter of the plot = 2(90 + 50) = 280 m.
∴ Number of poles = [280/4] =70m Answer B
Answer: B
Question: The length of a rectangle is halved, whileits breadth is tripled. Wat is the % change in area?
Options:
A)40%
B)45%
C)50%
D)65%
E)70%
Rationale: Let original length = x and original breadth = y.
Original area = xy.
New length = x .
2
New breadth = 3y.
New area = x x 3y = 3 xy.
2 2
Increase % = 1 xy x 1 x 100 % = 50%.
2 xy
C
Answer: C
Question: 45 litres of mixture is created by mixing Liquid A and Liquid B in the ratio 3:2. How much more Liquid B must be added to make the ratio 9:11?
Options:
A)9 Litres
B)10 Litres
C)12 Litres
D)15 Lt
E)16 Litres
Rationale: In current ratio A = (3/5) * 45 = 27
B is 18
Suppose "b" amount of b is added
new ratio = 27/(b+18) = 9/11
=> b+18 = 33
=> b = 15
So, answer will be D
Answer: D
Question: A man has Rs. 400 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Options:
A)45
B)60
C)75
D)90
E)95
Rationale: Let number of notes of each denomination be x.
Then x + 5x + 10x = 400
16x = 400
x = 25.
Hence, total number of notes = 3x = 75.
Answer: Option C
Answer: C
Question: A number is trebled and 10 is subtracted. If the resultant is divided by 5, it becomes 35. What is that number?
Options:
A)73.5
B)185/3
C)155/3
D)None of these
E)Cannot be determined
Rationale: Solution
Let the number be x.
Then, (3x - 10)/5 ‹=› 35
‹=› 3x - 10 = 175
‹=› 3x= 185
x= 185/3.
Answer B
Answer: B