mathewhe/aqua_rat huggingface dataset:
Question: Which one of the following numbers is exactly divisible by 12?
(A) A)12
(B) B)13
(C) C)14
(D) D)15
(E) E)16
Rationale: 12/12=1 answer is A
Answer: (A) A)12
Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
(A) 5
(B) 6
(C) 9
(D) 7
(E) 3
Rationale: 7 * 8 : 9 * x = 8:9
=> x= 7
Answer: D
Answer: (D) 7
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. 72 percent of the distribution lies within one standard deviation d of the mean. If the shelf’s average life is 7.6 years and the standard deviation is 2.6 years, what percent of the distribution has more than 10.2 years as a shelf’s average life?
(A) 17%
(B) 16%
(C) 15%
(D) 14%
(E) 13%
Rationale: Average = 7.6
SD = 2.6
7.6 - 2.6 < 72% of distribution < 7.6 + 2.6
5.0 < 72% of distribution < 10.2
28% is outside this range.
Given: Distribution is symmetric. So 14% of distribution is less than 5.0 and the other 14% of distribution is greater than 10.2.
Answer: D
Answer: (D) 14%
Question: Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen?
(A) 5/221
(B) 55/221
(C) 45/221
(D) 59/221
(E) 1/221
Rationale: 2 cards drawn from 52 cards,so chances are 52C2
chances for drawing both black cards=26C2
chances for drawing both queen=4C2
so we will be having 2 queens in black cards,thus it is 2C2 which is 1
probability=(325+6-1)/1326=55/221
ANSWER:B
Answer: (B) 55/221
Question: A man swims downstream 36 km and upstream 48 km taking 6 hours each time, what is the speed of the man in still water?
(A) 5
(B) 24
(C) 7
(D) 42
(E) 6
Rationale: 36--- 6 DS = 6
? ---- 1
48 ---- 6 US = 8
? ---- 1 M = ?
M = (6 + 8)/2 = 7
Answer: C
Answer: (C) 7
Question: The prime sum of an integer n greater than 1 is the sum of all the prime factors of n, including repetitions. For example , the prime sum of 12 is 7, since 12 = 2 x 2 x 3 and 2 +2 + 3 = 7. For which of the following integers is the prime sum greater than 33 ?
(A) 440
(B) 512
(C) 550
(D) 620
(E) 650
Rationale: Large numbers are made in two ways:
Either by taking small prime numbers and raising them to higher powers or taking large prime numbers in the first place.
31*2 = 62 (large prime number)
2^6 = 64 (many small prime numbers)
To get a sum as large as 33 or more, you would need some large prime numbers. So options such as 512, 700 and 750 which have small prime numbers as factors should be ignored first. 440 also splits into 11, 4( which is 2*2), 2, 5 - relatively small prime numbers.
You are left with 620 which is 31*2*2*5 (sum greater than 33)
Answer (D)
Answer: (D) 620
Question: Curious Elva asked her father what he would gift for her nineteenth birthday. Father replied that it would depend on the day of the week and be one of SUNglasses, MONeybag, ..., FRIedcake, and SATchel. Please help Elva find the day of the week on 08-Jan-2029
(A) Monday
(B) Tuesday
(C) Thursday
(D) Saturday
(E) Sunday
Rationale: at year 2000 there is 0 odd day as it is multiple of 400.
from 2001 to 2028 there are 28 years in which 28/4 = 7 are leap years and 21 are ordinary days.
Odd day in 7 leap years = 7*2 = 14
Odd day in 21 ordinary days = 21
total odd day till 31 dec 2028 = 14+21 = 35/7 = 0
hence 1jan 2029 will be Monday.
&
8jan 2029 will also be monday
ANSWER:A
Answer: (A) Monday
Question: If the mean of weight of students in a class of weight 38, 50, 70, 88 and 110 is 71.5 kg, what is the mean of the class if student of weight 50 kg left the class i.e state whether what will happen to original mean value ?
(A) increase
(B) decrease
(C) remains unchanged
(D) can't say
(E) none of the above
Rationale: Given mean of class = M1 = 71.5 kg
Mean = (Sum of all weights in class)/(no. students)
M2 = (38+70+88+110)/(4)
= 76.5 kg
since, M1 < M2
Answer =A
Answer: (A) increase
Question: The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of the correct time. How much a day does the clock gain or lose?
(A) (10 + 10/143 )min
(B) (10 + 10/343 )min
(C) (10 + 10/143 )min
(D) (18 + 10/543 )min
(E) (10 + 10/743 )min
Rationale: Explanation:
In a correct clock, the minute hand gains 55 min. spaces over the hour hand in 60 minutes.
To be together again, the minute hand must gain 60 minutes over the hour hand.
55 minutes are gained in 60 min.
60 min. are gained in [(60/55) * 60] min = min.
But they are together after 65 min.
Therefore, gain in 65 minutes = = min.
Gain in 24 hours = = 1440/143 min.
Therefore, the clock gains (10 + 10/143 )minutes in 24 hours.
Answer: A) (10 + 10/143 )min
Answer: (A) (10 + 10/143 )min
Question: In how much time will a train of length 120 m, moving at 36 kmph cross an electric pole?
(A) sec
(B) sec
(C) sec
(D) sec
(E) sec
Rationale: Convert kmph to mps. 36 kmph = 36 * 5/18 = 10 mps.
The distance to be covered is equal to the length of the train.
Required time t = d/s = 120/10 = 12 sec.
Answer:D
Answer: (D) sec
Question: The population of Mangalore was 1283575 on Jan 1st 2011 and the growth rate of the population was 10% in the last year and 5% in the year prior to it,the only exception being 2009 because of huge exodus there was a decline of 20% in the population. What was the population in Jan 1 2005?
(A) 11,00,000
(B) 12,00,000
(C) 13,00,000
(D) 14,00,000
(E) 15,00,000
Rationale: {(105/100)^4*80/100*110/100}x=1283575=>x=12,00,000(approx)
ANSWER:B
Answer: (B) 12,00,000
Question: In a circuit board factory, all circuit boards that pass a verification process are certified. Every board that fails the verification process is indeed faulty, but 1/8 of those that pass are also faulty.
Approximately how many faulty circuit boards exist in a group of 800 circuit boards where 64 fail inspection?
(A) 72
(B) 192
(C) 156
(D) 256
(E) 264
Rationale: Total of 800 boards. All that fail verification are indeed faulty. So the 64 are indeed faulty. 1/8 those that pass are also faulty.
From the 800 we know 64 fail. So 736 must pass. Of these 1/8 are faulty. 736 divided by 8 gives you 92.
What one must do now is to add to the 92 which were not detected the actually detected faulty ones, namely the 64.
Total faulty: 156.
Answer: C
Answer: (C) 156
Question: What will come in place of the x in the following Number series? 4, 10, 22, 46, 94, x
(A) 170
(B) 164
(C) 210
(D) 168
(E) 190
Rationale: There are 2 functions here: (Multiply by 2 and Adding 2 to get the next number in the series)
4 x 2 + 2 = 10
10 x 2 + 2 = 22 etc
Hence : 94 x 2 + 2 = 190
Correct Answer is E
Answer: (E) 190
Question: 33 1/3% of 36 ?
(A) 16
(B) 21
(C) 18
(D) 12 number
(E) 18
Rationale: Explanation:
33 1/3 % = 1/3
1/3 * 36 = 12
Answer: Option D
Answer: (D) 12 number
Question: A man covers a distance of 180 Km at 72 Kmph and next 190km at 88 Kmph. what is his average speed For his whole journey of 370 Km?
(A) 79.2 Kmph
(B) 79.3 Kmph
(C) 77.25 Kmph
(D) 78.5 Kmph
(E) 65.5 Kmph
Rationale: Formula = 2 Ã— F.S*S.P/F.S+S.P
= 2 Ã— 72 Ã— 88/88+72
= 79.2 Kmph
ANSWER IS A
Answer: (A) 79.2 Kmph
Question: A pump can fill a tank with water in 6 hours. Because of a leak, it took 12 hours to fill the tank. The leak can drain all the water in ?
(A) 12hr
(B) 11hr
(C) 13hr
(D) 14hr
(E) 16hr
Rationale: Work done by the leak in 1 hour = 1/6 - 1/12 = 1/12
Leak will empty the tank in 12 hours
Answer is A
Answer: (A) 12hr
Question: if a bullet fired out of a gun weighs M, takes T time to leave the barrel where it has been accelerated to V, how much recoil force will the firearm (of weight X) exert against the user? (negate effect of muzzle blast)
Describe your answer as an equation for F=
(A) F=XT
(B) F=(MV)/T
(C) F=(VT)/(MX)
(D) F=(X^2)/M
(E) F=(MT)^V
Rationale: B) F=(MV)/T
Answer: (B) F=(MV)/T
Question: In the Mountainside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
(A) 50.
(B) 45.
(C) 40.
(D) 30.
(E) 25.
Rationale: Given there are 50 students In the Mountainside summer camp , 90% of 50 = 45 boys and remaining 5 girls.
Now here 90% are Boys and 10% are Girls.
Now question is asking about how many boys do we need to add, to make the girls percentage to 5 or 5%..
If we add 50 to existing 45 then the count will be 95 and the girls number will be 5 as it.
Now boys are 95% and girls are 5%. ( out of 100 students = 95 boys + 5 girls ).
IMO option A is correct.
Answer: (A) 50.
Question: City A to city B, Raja drove for 1 hour at 72 mph and for 3 hours at 80 mph. What was the average speed for the whole trip?
(A) 57
(B) 57.5
(C) 78
(D) 59
(E) 62
Rationale: The total distance is 1×72+3×80=312
And the total time is 4 hours. Hence,
Average Speed=(Total Distance/Total Time)=312/4=78
Answer : C
Answer: (C) 78
Question: In a local school district, the high school and middle school each received r dollars toward funding for the student arts program. The high school enrolled 100 students and the middle school enrolled 50 students. Later, the middle school transferred s dollars to the high school so that they would have received the same funding per student. Which of the following is equivalent to s?
(A) r/3
(B) r/5
(C) r/7
(D) r/9
(E) r/2
Rationale: Total per head = 2r/150
After s transfer both schools have total for head.
So at High School it will be:
r+s = (100)* (2r/150) = 4r/3
i.e. s = 4r/3 - r/1 =4r-3r/3=r/3
Answer : A
Answer: (A) r/3
Question: A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 4 characters in length. This year, it added the option of creating passwords having 3 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 62 unique alphanumeric case sensitive characters.
(A) 63^4
(B) 62^5
(C) 62(62^4)
(D) 63(62^4)
(E) 63(62^3)
Rationale: Total number of passwords = number of 4 character password +number of 5 character password
= 62^4 + 62^3 (Since there is no limitation on repetition , each character can be chosen in 62 ways )
=62^3(1+ 62)
=62^3 * 63
Answer E
Answer: (E) 63(62^3)
Question: If x is to be chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6}, what is the probability that xy will be even?
(A)  1/6
(B)  1/3
(C)  1/2
(D)  2/3
(E)  5/6
Rationale: Probably the best way to solve would be to use 1 - P(opposite event) = 1 - P(odd) = 1 - P(odd)*P(odd) = 1 - 2/4*2/3 = 8/12 = 1/3.
Answer: B.
Answer: (B)  1/3
Question: A car covers a distance of 1260 km in 10 hours. Find its speed?
(A) 104
(B) 277
(C) 298
(D) 126
(E) 213
Rationale: 1260/10 = 126 kmph
Answer:D
Answer: (D) 126
Question: Set A of 8 positive integers may have the same element and have 40. And set B of 8 positive integers must have different elements and have 40. When m and n are the greatest possible differences between 40 and other elements’ sums in set A and set B, respectively, m-n=?
(A) 21
(B) 29
(C) 23
(D) 25
(E) 26
Rationale: This is maximum-minimum. Hence, 40-(1+1+1+1+1+1+1)=32 and 40-(1+2+3+4+5+6+7)=11. So, 32-11=21. The correct answer is A.
Answer: (A) 21
Question: A sum of money triples itself in twelve years at simple interest. Find the rate of interest?
(A) 16 2/8%
(B) 16 8/3%
(C) 86 2/3%
(D) 16 5/3%
(E) 16 2/3%
Rationale: Let the pricipal be Rs. x, then amount = 3x(where R = rate of interest)
=> Interest
= 3x - x
= Rs. 2x
R = (100 * 2x)/(x * 12)
= 50/3 %
= 16 2/3%
Answer:E
Answer: (E) 16 2/3%
Question: A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
(A) 2/15
(B) 2/21
(C) 5/26
(D) 3/29
(E) 4/27
Rationale: P(Both are red),
=6C213C2=6C213C2
=5/26
C
Answer: (C) 5/26
Question: If |5x-15| = 100, then find the sum of the values of x?
(A) 1
(B) -2
(C) 6
(D) -3
(E) 4
Rationale: |5x-15| = 100
5x-15 = 100 or 5x-15 = -100
5x = 115 or 5x = -85
x = 23 or x = -17
sum = 23-17 = 6
Answer is C
Answer: (C) 6
Question: The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists of 1 entree and 2 different side dishes, how many different meal combinations E could be chosen from this menu?
(A) 10
(B) 20
(C) 40
(D) 80
(E) 100
Rationale: E=4C1 * 5C2
= 4 * (5*4*3!)/(3!2!)
= 4 * 10
= 40
Answer - C
Answer: (C) 40
Question: The difference between the simple interest on a certain sum at the rate of 10%per annum for 2 years and compound interest which is compounded every 6 months is Rs.124.05. what is the principal sum
(A) 124.05
(B) 124.09
(C) 124.04
(D) 124.06
(E) 124.02
Rationale: Explanation:
Compound Interest on P at 10% for 2 years when interest is compounded half-yearly
=
Simple Interest on P at 10% for 2 years =
Given that difference between compound interest and simple interest = 124.05
Answer:A
Answer: (A) 124.05
Question: If 15 students in a class average 73% on an exam and 10 students average 88% on the same exam, what is the average in percent for all 25 students?
(A) 77%
(B) 78%
(C) 79%
(D) 80%
(E) 81%
Rationale: (15*73 + 10*88) / 25 = 79%
The answer is C.
Answer: (C) 79%
Question: Which of the following inequalities has a solution set, when graphed on the number line, is a single line segment of finite length?
(A) 2 <= 3x+4 <= 6
(B) 3 <= 3x+4 <= 6
(C) 5 <= 3x+4 <= 6
(D) 5 <= 3x+4 <= 6
(E) 4 <= 3x+4 <= 6
Rationale: The key words in the stem are:a singleline segment offinite length
Now, answer choices A, B, and C can not be correct answers as solutions sets for these exponential functions are not limited at all (>= for even powers and <= for odd power) and thus can not be finite (x can go to + or -infinity for A and C and x can got to -infinity for B). As for D: we have thatabsolute valueof x is between two positive values, thus the solution set for x (because of absolute value) will be two line segments which will be mirror images of each other.
Answer: A.
Answer: (A) 2 <= 3x+4 <= 6
Question: A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?
(A) 85 m
(B) 70 m
(C) 115 m
(D) 50 m
(E) 150 m
Rationale: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 3 = 50 m
Answer: D
Answer: (D) 50 m
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 25 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
(A) 457 km
(B) 444 km
(C) 552 km
(D) 645 km
(E) 453 km
Rationale: 1h ----- 5
? ------ 60
12 h
RS = 25 + 21 = 46
T = 12
D = 46 * 12 = 552
Answer:C
Answer: (C) 552 km
Question: 25, 50, 100, 175, 275, (....)
(A) 400
(B) 300
(C) 425
(D) 450
(E) 325
Rationale: Explanation :
The pattern is 25, 50, 75, 100, etc.
Hence 125=400
Answer: A
Answer: (A) 400
Question: A collection of books went on sale, and 2/3 of them were sold for $2.25 each. If none of the 40 remaining books were sold, what was the total amount received for the books that were sold?
(A) $160
(B) $150
(C) $280
(D) $200
(E) $180
Rationale: If 40 books constitute 1/3rd of the total, then 2/3rd of the total = 80 books
Amount received for sold books = 80 * 2.25 = $180
Answer :E
Answer: (E) $180
Question: By selling 32 mangoes in a dollar, a man loses 40%. How many mangoes must he sell in a dollar to gain 20% profit?
(A) 16
(B) 18
(C) 20
(D) 25
(E) 28
Rationale: This is a question that is much easier than it first appears. If you work with the percents directly, you can solve it very quickly. If the man sells 32 mangoes for a dollar, he loses 40%. That means he is at 60% of his cost (100% - 40% = 60%). We are trying to figure out how many mangoes he has to sell in order to make a 20% profit, or be at 120% (100% + 20% = 120%). 120% is double 60%, meaning that we simply cut the number of mangoes in half to double our returns (from 60% to 120%), yielding 32/2 = 16 mangoes, or answer choice A.
Answer: (A) 16
Question: Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
(A) 17 sec
(B) 12 sec
(C) 16 sec
(D) 15 sec
(E) 18 sec
Rationale: Speed of the first train = 120/10 = 12 m/sec.
Speed of the second train = 120/5 = 8 m/sec.
Relative speed = 12 + 8 = 20 m/sec.
Required time = (120 + 120)/20 = 12 sec.
Answer:B
Answer: (B) 12 sec
Question: Calculate the average mark scored by Belinda if she had the following scores in an examination: 86, 50, 60, 67 and 79 marks (out of 100) in English Language, Spanish Language, Social Studies, Fine Art, and Physical Education respectively?
(A) 69.4
(B) 68.4
(C) 65.4
(D) 63.4
(E) 64.4
Rationale: Explanation:
Average mark = 86+50+60+67+79/5=68.4
Answer: Option B
Answer: (B) 68.4
Question: How many multiples of 10 are there between 81 and 358?
(A) 24
(B) 25
(C) 26
(D) 27
(E) 28
Rationale: 10 * 9 = 90
10 * 35 = 350
Total no of multiples = (35 - 9) + 1
= 27
Answer D
Answer: (D) 27
Question: 7^6n -1^ 6n When n is an integer > 0 is divisible by
(A) 120
(B) 127
(C) 143
(D) 164
(E) 190
Rationale: 127
B
Answer: (B) 127
Question: Find the middle one when The sum of three consecutive even numbers is 162?
(A) 51
(B) 50
(C) 58
(D) 54
(E) 56
Rationale: 3 consecutive numbers can be a - 1, a, a + 1
So sum of numbers = 3a = 162.
Hence a = 54.
D
Answer: (D) 54
Question: Mangala completes a piece of work in 30 days, Raju completes the same work in 30 days. If both of them work together, then the number of days required to complete the work is?
(A) 8 days
(B) 12 days
(C) 14 days
(D) 15 days
(E) 18 days
Rationale: If A can complete a work in x days and B can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days.
That is, the required No. of days = 30 × 30/60 = 15 days
D
Answer: (D) 15 days
Question: If a 5 percent deposit that has been paid toward the purchase of a certain product is $70, how much more remains to be paid?
(A) $1120
(B) $1190
(C) $1260
(D) $1330
(E) $1400
Rationale: 95% remains to be paid so the remaining amount is 19*70=$1330.
The answer is D.
Answer: (D) $1330
Question: If a lemon and apple together costs Rs.12, tomato and a lemon cost Rs.4 and an apple costs Rs.8 more than a lemon. What is the cost of lemon?
(A) 8
(B) 2
(C) 3
(D) 5
(E) 0
Rationale: L + A = 12 ...(1)
T + L = 4 .....(2)
L + 8 = A
Taking 1 and 3, we get A = 10 and L = 2
Answer:B
Answer: (B) 2
Question: Of 50 applicants for a job, 30 had at least 5 years of prior work experience, 25 had advanced degrees, and 15 had at least 5 years of prior work experience and advanced degrees. How many of the applicants had neither 5 years of prior work experience nor advanced degrees?
(A) 10
(B) 12
(C) 15
(D) 18
(E) 21
Rationale: Had advanced degrees and 5 years work experience: 15
Only had 5 years work experience: 30-15 = 15
Only had advanced degrees: 25-15 = 10
50-15-15-10=10
Answer: A
Answer: (A) 10
Question: The average weight of 19 students is 15kg. by the admission of a new student the average weight is reduced to 14.2 kg. the weight of the new student is ?
(A) 1 kg
(B) 10.8 kg
(C) 11 kg
(D) 14.9 kg
(E) None
Rationale: Answer
Weight of new student = Total weight of all 20 students - Total weight of initial 19 students
= (20 x 14.2 - 19 x 15) kg
= 1 kg.
Correct Option: A
Answer: (A) 1 kg
Question: The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 15 km/hr respectively. They will meet for the first time in?
(A) 50min
(B) 40min
(C) 35min
(D) 25min
(E) 20min
Rationale: Clearly, the two will meet when they are 1000 m apart
To be 20+15 = 35 km apart, they take 1 hour
To be 1000 m apart, they take 35 * 1000/1000 = 35 min.
Answer is C
Answer: (C) 35min
Question: If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is:
(A) 10
(B) 30
(C) 20
(D) 60
(E) 50
Rationale: C
20
Let C.P. of each article be $ 1.
Then, C.P. of 50 articles = $50;
S.P. of 50 articles = $40.
Loss % = 10/50 * 100 = 20%
Answer: (C) 20
Question: A trailer carries 3, 4 and 5 crates on a trip. Each crate weighs no less than 150 kg. What is the maximum weight of the crates on a single trip?
(A) 1250
(B) 625
(C) 600
(D) 750
(E) 375
Rationale: Max No. of crates=5.
Max Weight=150Kg
Max. weight carried = 5*150=750Kg=D
Answer: (D) 750
Question: A person crosses a 400m long street in 10minnutes. What is his speed in km per hour?
(A) 6.4km/hr
(B) 7.9km/hr
(C) 1.5km/hr
(D) 2.4km/hr
(E) 8km/hr
Rationale: Speed = 400/10*60 = 2/3m/sec
=2/3*18/5
=2.4km/hr
Answer is D
Answer: (D) 2.4km/hr
Question: Bony has twice as many marbles as Tony, and Tony has thrice as many marbles as Vinay. Which of the following cannot be the sum of marbles with all three of them ?
(A) 72
(B) 40
(C) 80
(D) 92
(E) 52
Rationale: Let each 1 marble that Vinay have Tony will have 3, Bony 6 marbles
Sum of units = 1 + 3 + 6 = 10 units, therefore the number must be a multiple of 10
Among the choices only 72 is not divisible by 10
Option A
Answer: (A) 72
Question: How many numbers between 100 and 756 are divisible by 2, 3, and 7 together?
(A) 112
(B) 77
(C) 267
(D) 16
(E) 99
Rationale: Explanation:
As the division is by 2, 3, 7 together, the numbers are to be divisible by: 2*3*7 = 42
The limits are 100 and 756
The first number divisible is 42*3 = 126
To find out the last number divisible by 42 within 756:
756/42 = 18
Hence, 42*16 = 756 is the last number divisible by 42 within 756
Hence, total numbers divisible by 2, 3, 7 together are (18â€“ 2) = 16
ANSWER: D
Answer: (D) 16
Question: A man can row a boat at 18 kmph in still water. If the speed of the stream is 3 kmph, what is the time taken to row a distance of 48 km downstream?
(A) 30/16 hours
(B) 30/33 hours
(C) 16/7 hours
(D) 16/13 hours
(E) 15/13 hours
Rationale: Speed downstream = 18 + 3 = 21 kmph.
Time required to cover 48 km downstream = d/s = 48/21 = 16/7 hours.Answer:C
Answer: (C) 16/7 hours
Question: A student needs 30% of the marks on a test to pass the test. If the student gets 80 marks and fails the test by 100 marks, find the maximum marks set for the test.
(A) 400
(B) 600
(C) 800
(D) 1000
(E) 1200
Rationale: 30% = 180 marks
1% = 6 marks
100% = 600 marks
The answer is B.
Answer: (B) 600
Question: Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
(A) 33
(B) 28
(C) 12
(D) 88
(E) 15
Rationale: D = 250 m + 250 m = 500 m
RS = 80 + 70 = 150 * 5/18 = 125/3
T = 500 * 3/125 = 12 sec.Answer: C
Answer: (C) 12
Question: A photograph measuring 2 1''⁄2 × 1 7''⁄8 is to be enlarged so that the length will be 4”. How many inches will the enlarged breadth be?
(A) 1 1⁄2
(B) 2 1⁄8
(C) 3
(D) 3 3⁄8
(E) None of these
Rationale: Let enlarged breadth be x inches. Then,
5⁄2 : 4 :: 15⁄8 : x
⇒ 5⁄2x = 4 × 15⁄8 ⇒ x = 3 inches.
Answer C
Answer: (C) 3
Question: January 1, 2008 is Tuesday. What day of the week lies on Jan 1, 2009?
(A) Saturday
(B) Wednesday
(C) Thursday
(D) Tuesday
(E) Monday
Rationale: Explanation:
Number of odd days in 2008 = 2 (since it is a leap year)
(we have taken the complete year 2008 because we need to find out the odd days from 01-Jan-2008 to 31-Dec-2008, that is the whole year 2008)
Given that January 1, 2008 is Tuesday.
Hence January 1, 2009 = (Tuesday + 2 odd days) = Thursday
Answer: Option C
Answer: (C) Thursday
Question: On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?
(A) 2
(B) 6
(C) 4
(D) 5
(E) 8
Rationale: Formula: (Divisor*Quotient) + Remainder = Dividend.
(56*Q)+29 = D -------(1)
D%8 = R -------------(2)
From equation(2),
((56*Q)+29)%8 = R.
=> Assume Q = 1.
=> (56+29)%8 = R.
=> 85%8 = R
=> 5 = R. so the required remainder is 5.
Answer D)5
Answer: (D) 5