divelab/Sys2Bench huggingface dataset:
Question: The list price of a watch is 160. A retailer bought the same watch 122.40. He got two successive discounts one at 10% and the other at a rate which was not legible. What is the second discount rate?
Options:
A)12%
B)14%
C)15%
D)18%
E)None of these
Rationale: Retailer price = list price (1−d1/100)(1−d2/100)
⇒ 122.40 = 160(1−10/100)(1−d2/100)
⇒ 1−d2/100=122.40×100/160×90=0.85
⇒ d2 = (1 - 0.85) × 100 = 15%
Answer C
Answer: C
Question: Angela, Bernie, and Colleen can complete a job, all working together, in 4 hours. Angela and Bernie, working together at their respective rates, can complete the same job in 6 hours. How long would it take Colleen, working alone, to complete the entire job?
Options:
A)8 hours
B)10 hours
C)12 hours
D)16 hours
E)24 hours
Rationale: A+B+C complete the job in 4 hours.
A+B complete the job in 6 hours.
A+B and C complete the job in 4 hours -->1/(A+B) + 1/C = 1/4-->1/6+1/C=1/4 ----> C=24 hours. ANS E
Answer: E
Question: If the price of an item is decreased by 20% and then increased by 20%, the net effect on the price of the item is
Options:
A)A decrease of 4%
B)No change
C)A decrease of 1%
D)A increase of 1%
E)none
Rationale: initially assume 100 rupees
20% discount in 100 gives price of 80 rupees
then 20% raise in 80 is only 16 rupees.
therefore total price =96 rupees.
hence 4% is the loss
ANSWER:A
Answer: A
Question: If log 2 = 0.3010 and log 3 = 0.4771 then the value of log 4.5 is:
Options:
A)0.6532
B)0.7727
C)0.3266
D)0.3796
E)none of these
Rationale: log 3 + log 3 = log (3*3) ->log 9 = 0.4771 + 0.4771 = 0.9542
now
log 9 - log 2 = log (9/2) =log 4.5
-> log 4.5 = 0.9542 - 0.3010 = 0.6532
ANSWER:A
Answer: A
Question: The number 155 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
Options:
A)17
B)16
C)15
D)14
E)21
Rationale: 7^2+5^2+9^2=49+25+81 = 155
7+5+9 =21
Hence answer is E
Answer: E
Question: A thief steels a car at 6a.m. and drives it at 60kmph. The theft is discovered at 7a.m. and the owner sets off in another car at 90 kmph. When will he overtake the thief?
Options:
A)9a.m.
B)9.30a.m.
C)10a.m.
D)11.45a.m.
E)10.15a.m.
Rationale: Suppose the thief overtakes x hours after 6a.m.
Distance covered by the thief in x hrs = distance covered by the owner in (x-1 hours)
60x = 90(x-1)
30x = 90
x = 3 hrs
Thief is overtaken at 9a.m.
Answer is A
Answer: A
Question: Find the C.I. on a sum of Rs.1800 for 6 months at 20% per annum, interest being compounded quarterly?
Options:
A)792
B)892
C)8920
D)802
E)9920
Rationale: C.I.= 1800(21/20)^2-1800
= 792
Answer: C
Answer: C
Question: For what value of x, is |x – 2| + |x + 5| + |x| = 17?
Options:
A) 0
B) 3
C) -3
D) 5
E) -5
Rationale: For what value of x, is |x – 2| + |x + 5| + |x| = 17?
It's easiest just to plug in answer choices:
(D): 5
|x – 2| + |x + 5| + |x| = 17?
|5 - 3| + |5 + 5| + |5| = 17?
|2| + |10| + |5| = 17
(D)
Answer: D
Question: There are three guys who have equal number of bullets. All of them shoot 4 bullets. The remaining bullets are equal to the total number of bullets remaining is equal to the bullets each had after division. What was the original number of bullets each one had?
Options:
A)18
B)19
C)20
D)21
E)22
Rationale: let initially each was having x bullets
they shot 4 bullets
so 3x-12=x
x=6
so each was having 6 bullets.
total was 18.
ANSWER:A
Answer: A
Question: A car was driving at 50 Km/h for 30 minutes, and then at 40 Km/h for another 30 minutes. What was its average speed?
Options:
A)80.
B)75.
C)70.
D)65.
E)54.
Rationale: driving at 50 Km/h for 30 minutes ,distance covered = 50*1/2=25 km
driving at 40 km/h for 30 minutes ,distance covered = 40*1/2=20 km
average speed = total distance/total time = 45/1 = 45 km/h
Answer : A
Answer: A
Question: If after 300 grams of water were added to the 24%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 24%-solution was used?
Options:
A)180 grams
B)220 grams
C)250 grams
D)350 grams
E)600 grams
Rationale: I too think 600 grams should be the answer.
My reasoning is
The h20 content in 300 gms of water is 1
h20 content in 24% solution is 0.76
Resulting new solution's concentration decreases by one third means. Now it becomes 16% solution which means h20 content is 0.84
Let amount of solution be X
Then the equation can be set up
300*1 + 0.76X = 0.84 (X+300)
0.08X = 48
8X = 4800
X = 600 (ans E)
Answer: E
Question: The average of the two-digit numbers, which remain the same when the digits interchange their positions, is:
Options:
A)98
B)55
C)21
D)23
E)28
Rationale: Explanation:
Average = (11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99)/9
= [(11 + 99) + (22 + 88) + (33 + 77) + (44 + 66) + 55]/9
= [(4 * 110) + 55]/9 = 495/9 = 55.
Option B
Answer: B
Question: Eleven bags are bought for Rs.1000 and sold at 10 for Rs.1500. What is the gain or loss in percentage?
Options:
A)10%
B)21%
C)26%
D)20%
E)None of these
Rationale: Explanation:
As selling price is Rs.1500 for 10 bags, each bag is sold at Rs.150.
Hence, the profit is Rs.100 after selling 10 bags plus the selling price of 1 bag = 100 + 150 = Rs.260.
%profit = 260/1000 *100
= 26%
ANSWER C
Answer: C
Question: a number divided by 34 leaves remainder 37 what is the remainder when same number divided by 9
Options:
A)7
B)8
C)9
D)0
E)1
Rationale: add 34+37=72
now 72divided by 9 so we get 0 as reaminder
ANSWER:D
Answer: D
Question: 9.4 , 9.9 , 9.9 , 9.9 , 10.0 , 10.2 , 10.2 , 10.5
The mean and the standard deviation of the 8 numbers shown above is 10 and 0.3 respectively. What percent of the 8 numbers a re within 1 standard deviation of the mean?
Options:
A)90%
B)85%
C)80%
D)75%
E)70%
Rationale: D. 75% answer is D
Answer: D
Question: The average age of 15 men of a group is 18 years. Out of these, the average age of 5 men is 14 years and that of the other 9 men is 16 years. The age of the 15th man is?
Options:
A)11 years
B)17 years
C)56 years
D)14 years
E)12 years
Rationale: Age of the 15th student
=[15 * 18 - (14 * 5 + 16 * 9)]
= (270- 214)
= 56 years.
Answer:C
Answer: C
Question: How many three letter words are formed using the letters of the word TIME?
Options:
A)22
B)28
C)27
D)24
E)91
Rationale: Explanation:
The number of letters in the given word is four.
The number of three letter words that can be formed using these four letters is â´Pâ‚ƒ = 4 * 3 * 2 = 24.
Answer: D
Answer: D
Question: Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even ?
Options:
A)3/4
B)1/4
C)7/4
D)1/2
E)None of these
Rationale: Explanation:
Total number of cases = 6*6 = 36
Favourable cases = [(1,2),(1,4),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,2),(3,4),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,2),(5,4),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)] = 27
So Probability = 27/36 = 3/4
Option A
Answer: A
Question: A carpenter makes 4 bunk beds every day. A military school needs to organize a place to sleep for 143 soldiers. If there are 5 carpenters working on the job, how many whole days in advance should they receive the order and start working in order to finish the right number of beds assuming that each bunk- bed is used by two soldiers?
Options:
A)3.
B)4.
C)5.
D)6.
E)7.
Rationale: I believe it is C because if 1C makes 3 beds in 1 day then:
1C's rate = 3/1
So 5c's = 3/1 * 5 = 15/1 = 15 beds in a day.
Since we have 173 soldiers who need beds and bunk beds come in pairs, 72 is the least amount of beds needed.
Time = Amount / Rate
Time = 72 / (15/1) = 72/15, simplifying we get 72/15 = 24/5 = 4.7
So, in order for the carpenters to be able to finish they need 5 whole days. At first I made the mistake of thinking how many whole days it took them to finish (as in ignore the partial day) but the prompt clarifiesdays in advance, meaning how many days would they need to finish so even if they finish early, theyusedthat day.
C
Answer: C
Question: In the fifth grade at Parkway elementary school there are 420 students. 312 students are boys and 250 students are playing soccer. 82% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?
Options:
A)63.
B)73.
C)81
D)91
E)108
Rationale: Total students = 420
Boys = 312, Girls = 108
Total playing soccer = 250
82%of 250 = 205 are boys who play soccer.
Girls who play soccer = 45.
Total girls who do not play soccer = 108 - 45 = 63.
Correct option: A
Answer: A
Question: A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Options:
A)271
B)266
C)350
D)277
E)232
Rationale: D = 72 * 5/18 = 25 = 500 – 150
= 350
Answer:C
Answer: C
Question: For one cake, a recipe calls for 3 cups of milk, 2 cups of sugar, and 2 cups of flour. Sally wants to bake as many cakes as possible and has 27 cups of milk and 18 cups of flour. How many cups of sugar does she need?
Options:
A)27
B)18
C)9
D)36
E)2
Rationale: First, we need to figure out how many cakes Sally can make with her milk and flour.
Both the amount of milk and flour she has is 9 times the amount needed for one cake, so she can make 9 cakes.
Since she needs sugar for 9 cakes, she needs 9 times 2 cups of sugar = 18 cups
Answer: B)
Answer: B
Question: A man sold 18 toys for Rs. 27300, gaining thereby the cost price of 3 toy find the cost price of a toy
Options:
A)s. 600
B)s. 800
C)s.500
D)s.900
E)s. 1300
Rationale: Let the cost of one toy = X.
Then, cost of 18 toys = 18X.
Gain = 3X.
SP of 18 toys = Rs. 27300.
Gain = SP â€“ CP
3X = 27300 â€“ 18X
21X = 27300
X = Rs. 1300.
ANSWER : OPTION E
Answer: E
Question: Mangala completes a piece of work in 20 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
Options:
A)4 days
B)6 days
C)8 days
D)10 days
E)12 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 = 20 × 30/50 = 12 days.
Answer : E
Answer: E
Question: 27 is a perfect cube. When x is perfect cube which is added to the prime factor of 27, the result is not a prime number. What is the square root of x?
Options:
A)2
B)4
C)6
D)8
E)10
Rationale: 27 is 3*3*3
2*2=4, 3+4=7
4*4=16, 3+16=17
6*6=36, 3+36=39
8*8=64, 3+64=67
10*10=100, 3+100=103
here C is the only addition that is not a prime number.
so the answer is C
Answer: C
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
Options:
A)675, Rs.1350
B)575, Rs.1350
C)1350, Rs.675
D)1450, Rs.775
E)1550, Rs.875
Rationale: Area = (l + b +2d) 2d
= (75 + 55 +2.5 * 2) 2*2.5 => 675
675 * 2 = Rs.1350
ANSWER:A
Answer: A
Question: From the integer n, if n*n*n is odd, then what is true from below options?
Options:
A)n is odd
B)n*n is even
C)n is odd and n*n is even
D)n is even
E)None
Rationale: n is odd and n*n is even
Option C
Answer: C
Question: In how many different ways can the letters of the word ‘I’ be arranged?
Options:
A)7
B)2
C)3
D)1
E)5
Rationale: D
1
The word SMART has 1 distinct letters.
Number of arrangements = 1!
= 1 x 1 = 1
Answer is D
Answer: D
Question: On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?
Options:
A)0
B)5
C)8
D)9
E)4
Rationale: Explanation:
Let the number be x and on dividing x by 5, we get k as quotient and 3 as remainder.
x = 5k + 3
x^2 = (5k + 3)^2
= (25k^2 + 30k + 9)
= 5(5k^2 + 6k + 1) + 4
On dividing x2 by 5, we get 4 as remainder.
E)
Answer: E
Question: Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 44 years. What will be the age of the B ten years hence?
Options:
A)22
B)88
C)26
D)96
E)51
Rationale: Let the present ages of A, B and C be a, b and c respectively.
Given, [(a - 5) + (b - 5)] / 2 = 40 => a + b = 90 --- (1)
(b + c)/2 = 44 => b + c = 88 --- (2)
From (1) and (2), we cannot find b.
Answer: B
Answer: B
Question: Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:
Options:
A)36
B)45
C)48
D)49
E)50
Rationale: Relative speed=60+90=150*5/18=(125/3)m/s
Total Distance covered=(1.10+0.9)= 2 km = 2000m
Required time = (2000*3/125) = 48sec
ANSWER:C
Answer: C
Question: A woman goes shopping during a door buster sale at JcPenney's. You are given a ticket with a random number on it when you arrive at the store. The number on the ticket is the pecent you get to take off of your total bill. The woman bought a shirt for $9.99, a pair of jeans for 19.99 and a jacket for $36.00. Her total was 65.98 before her secret door buster discount. If she paid 59.38 after her discount, What number did the woman have on her ticket?
Options:
A)10
B)5
C)15
D)20
E)25
Rationale: 65.98-59.38= 6.50 = amount of money saved
65.98÷6.50=9.999 = percent of the total bill
9.99 is rounded up to 10.
The answer is A
Answer: A
Question: Which of the following number is divisible by 4 and 9?
Options:
A)2368
B)2736
C)3954
D)3814
E)None of these
Rationale: For a number to be divisible by 4, the number formed by the last two digits of that number must be divisible by 4.
For a number to be divisible by 9, the sum of its digits must be divisible by 9.
Among the choices, choices (a) and (b) are divisible by 4 but of the first two choices, only choice (b) is divisible by 9.
Hence choice (b) is divisible by both 4 and 9.
ANSWER:B
Answer: B
Question: A girl is organizing her jellybean collection in which each color has its own row. In each row, there are as many jellybeans as the number of jellybean colors. Her little brother chops each jellybean into the same number of peices as the number of jellybean colors. If the final number of jellybean pieces is m, then:
Options:
A)m is a perfect square
B)m is an odd number
C)m is an even number
D)m is a perfect cube.
E)None
Rationale: For example, if there were 4 jellybean colors, the girl would have made a 4x4 arrangement. The boy chopped up each jellybean into 4, the number of pieces would be (4*4)*4 = 64 pieces, which is a cube of 4.
Answer: D
Answer: D
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 16km?
Options:
A)3
B)6
C)8
D)9
E)7
Rationale: M = 4
S = 2
US = 4 - 2 = 2
D = 16
T = 16/2 = 8
Answer:C
Answer: C
Question: A train 600 m long can cross an electric pole in 20 sec and then find the speed of the train?
Options:
A)987
B)271
C)108
D)27
E)28
Rationale: Length = Speed * time
Speed = L/T
S = 600/20
S = 30M/Sec
Speed= 30*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 108 Kmph
Answer:C
Answer: C
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.3 years. The ration of the number of boys to the number of girls in the class is?
Options:
A)5:6
B)2:3
C)2:5
D)2:1
E)2:4
Rationale: Let the ratio be k : 1. Then,
k * 16.4 + 1 * 15.3 = (k + 1) * 15.8
= (16.4 - 15.8)k = (15.8 - 15.3)
= k = 0.5/0.6 = 5/6
Required ratio = 5/6 : 1 = 5:6.
Answer:A
Answer: A
Question: Line J has a y-intercept of 11 and passes through point (a,b). What is the slope of Line J in terms of a and b?
Options:
A)(a−6)/b
B)(a−b)/6
C)(6−a)/b
D)(6−b)/a
E)(b-11)/a
Rationale: You know that the line goes through point (a,b) and the y-intercept of 11 tells you that the line also goes through point (0,11).
slope m = (y-y1)/(x-x1) = (b-11)/(a-0)= (b-11)/a
E
Answer: E
Question: The sum of three consecutive integers is 102. Find the lowest of the three?
Options:
A)40
B)53
C)29
D)33
E)35
Rationale: Explanation:
Three consecutive numbers can be taken as (P - 1), P, (P + 1).
So, (P - 1) + P + (P + 1) = 102
3P = 102 => P = 34.
The lowest of the three = (P - 1) = 34 - 1 = 33.
ANSWER IS D
Answer: D
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
Options:
A)25%
B)20%
C)18%
D)30%
E)40%
Rationale: SP = CP + g
150 SP = 150 CP + 30 SP
120 SP = 150 CP
120 --- 30 CP
100 --- ? => 25%
ANSWER A
Answer: A
Question: A ribbon is cut into three smaller strips in the ratio 2:3:5. If the shortest of the three strips is 30 inches in length, what was the length, in inches, of the ribbon before it was cut?
Options:
A)60
B)75
C)90
D)150
E)170
Rationale: Given 2x = 30 so x =15
Have to find 2x+3x+5x = 30+45+75= 150
Ans D
Answer: D
Question: The average daily wages of A, B and C is Rs 120. If B earns Rs 40 more than C per day and ,A earns double of what C earns per day, the wage of A per day is?
Options:
A)Rs 80
B)Rs 120
C)Rs 160
D)Rs 100
E)Rs 140
Rationale: Let daily wages of C = X
Then, daily wages of A = 2X
and daily wages of B = X + 40
Hence, average daily wages of A, B and C
= (X + 2X + X + 40) / 3 = (4X + 40)/3
Thus, (4X + 40)/3 =120
=>4X + 40 = 360
=>4X = 320
X = 80.
Therefore, Wages of A per day = 2 x 80 = Rs 160.
ANSWER:C
Answer: C
Question: A political candidate collected $1,749 from a fund raising dinner. If each supporter contributed at least $50, what is the greatest possible number of contributors at the dinner?
Options:
A)33
B)34
C)35
D)36
E)37
Rationale: Nearest to 1749≈1750
175/50=35 (Caution: Collection is 1750 - 1 = 1749)
Counting 1 less = 50*34 = 1700 >> 49 remains which will be adjusted with the 34 members
51* 34 = 1734 >> 15 remains which will be adjusted with 15 members
52 * 15 + 51 * 19 = 780 + 969 = 1749
Answer = B
Answer: B
Question: The age of Somu is one-third his father's. 7 years back he was one-fifth of his father's age. What is his persent age ?
Options:
A)11
B)13
C)14
D)12
E)10
Rationale: Explanation :
Let Somu's age be x and that of his father be 3x.
So, x - 7 = 3x - 7/5 = x = 14
Answer : Option C
Answer: C
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Options:
A)200m
B)225m
C)245m
D)250m
E)300m
Rationale: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.
ANSWER C
Answer: C
Question: The “length of integer x” refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 800?
Options:
A)13
B)10
C)9
D)7
E)6
Rationale: To maximize the length of z, we should minimize its prime base. The smallest prime is 2 and since 2^9 = 512 < 800, then the greatest possible length of integer z is 9.
The answer is C.
Answer: C
Question: The rate of failure in an examination is 39.25%. Find the least number of total candidates appeared in the examination.
Options:
A)100
B)200
C)300
D)400
E)500
Rationale: if 100 student appear then failure=39.25 ......... which is not possible because number of student can not be fraction,like wise in 200 student,failure=78.5, so we have to make the failure percentage into a unit digit failure not fraction...so min no of student =400 so that no of failure=157..........so least no of student appeared in the exam= 400.
ANSWER:D
Answer: D
Question: In the word CONTRACTUAL, the positions of the first and the eleventh letters are interchanged. Similarly, the positions of the second and the tenth letters are interchanged, and so on, up to the positions of fifth and seventh letters are interchanged, keeping the position of sixth letter unchanged. Which letter will be the third to the right of the sixth letter from the left end?
Options:
A)U
B)N
C)T
D)A
E)None of these
Rationale: New word will be LAUTCARTNOC
6th letter from the left end is A,and and 3rd to the righ of thet letter is N.
ANSWER:B
Answer: B
Question: In an examination, 35% of students failed in quants and 42% of students failed in verbal while 14% failed in both the topics. If 222 students passed in both the topics, how many students appeared to write the examination?
Options:
A)500
B)600
C)700
D)800
E)900
Rationale: DETAILED SOLUTION
Percent of students failing quants = 35
Percent of students failing verbal = 42
Sum = 35 + 42 = 77
Percent of students failing both = 14
= ) Percent of students failing either one = 77 – 14 = 63. Thus, 37% students passed in both the topics
= ) 37% of x = 222 = ) x = 600
Correct Answer: B
Answer: B
Question: Three coins are tossed. What is the probability of getting at most two tails?
Options:
A)7/8
B)1/8
C)1/2
D)1/7
E)1/3
Rationale: Total number of outcomes possible when a coin is tossed = 2 (âˆµ Head or Tail)
Hence, total number of outcomes possible when 3 coins are tossed, n(S) = 2 Ã— 2 Ã— 2 = 8
(âˆµ i.e., S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH})
E = event of getting at most two Tails = {TTH, THT, HTT, THH, HTH, HHT, HHH}
Hence, n(E) = 7
P(E) = n(E)/n(S)=7/8
Answer:A
Answer: A
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
Options:
A)7 years.
B)8 years.
C)9 years.
D)10 years.
E)11 years.
Rationale: EXPLANATION
Let C’s age be x years. Then, B’s age = 2x years. A’s age = (2x + 2) years.
(2x + 2) + 2x + x = 27
5x = 25
x = 5.
Hence, B’s age = 2x = 10 years.
Answer D
Answer: D
Question: A can do a work in 12 days. B is 60% more efficient than A. How many days does B alone take to do the same job?
Options:
A)15/2
B)10
C)7/2
D)12
E)6
Rationale: Ratio of times taken by A and B = 160:100 = 8:5
suppose B alone to take x days to do the work
then, 8:5::12:x
8x= 5*12
x=15/2 days
correct option is A
Answer: A
Question: In a 1000 m race, A beats B by 200 meters or 24 seconds. Find the speed of B?
Options:
A)6
B)8.3
C)7
D)5
E)2
Rationale: Since A beats B by 200 m or 24 seconds, i
t implies that B covers 200 m in 24 seconds.
Hence speed of B = 200/24 = 8.3 m/s.
Answer: B
Answer: B
Question: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
Options:
A)6
B)7
C)8
D)65
E)4
Rationale: S = 1
M = x
DS = x + 1
US = x - 1
35/(x + 1) + 35/(x - 1) = 12
x = 6
Answer: A
Answer: A
Question: In a recent head-to-head run-off election, 12,000 absentee ballets were cast. 1/6 of the absentee ballets were thrown out and 3/5 of the remaining absentee ballets were cast for Candidate A. How many absentee votes did Candidate B receive?
Options:
A)2,000
B)3,000
C)4,000
D)8,000
E)9,000
Rationale: 5/6 * 2/5 (total absentee votes) = 1/3 (total votes)=1/3*12000=4000
Answer is C
Answer: C
Question: The average height of 15 girls out of a class of 30 is 152 cm. and that of the remaining girls is 156 cm. The average height of the whole class is :
Options:
A)150 cms
B)151 cms
C)152 cms
D)154 cms
E)156 cms
Rationale: Explanation:
Average height of the whole class =(15×152+15×156/30)=154 cms
Answer D
Answer: D
Question: 10^25 - 360 is divisible by all of the following except:
Options:
A)A.7
B)B.8
C)C.5
D)D.4
E)E.2
Rationale: The last three digits ( 1000 - 360 ) 640
640 is divisible by 2,4,8,5
640 is not evenly divisible by 7 so the answer is A) 7
Answer: A
Question: Present ages of Kiran and Syam are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Syam's present age in years?
Options:
A)21
B)22
C)23
D)25
E)24
Rationale: Ratio of the present age of Kiran and Syam =5:4
Let present age of Kiran =5x
Present age of Syam =4x
After 3 years, ratio of their ages =11:9
⇒(5x+3):(4x+3)=11:9⇒9(5x+3)=11(4x+3)⇒45x+27=44x+33⇒x=33−27=6
Syam's present age =4x=4×6=24
Answer is E.
Answer: E
Question: The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Options:
A)150
B)250
C)270
D)280
E)290
Rationale: Let the smaller number be x. Then larger number = (x + 1365).
x + 1365 = 6x + 15
5x = 1350
x = 270
Smaller number = 270.
Answer C)270.
Answer: C