divelab/Sys2Bench huggingface dataset:
Question: If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?
Options:
A)245
B)278
C)364
D)378
E)389
Rationale: A particular players is never chosen, it means that 11 players are selected out of 14 players.
=> Required number of ways = 14C11
= 14!/11!x3! = 364
C
Answer: C
Question: Tim and Tom are workers in a department that has a total of 5 employees. Their boss decides that two workers from the department will be picked at random to participate in a company interview. What is the probability that both Jim and John are chosen?
Options:
A)3/10
B)1/10
C)7/10
D)4/11
E)2/11
Rationale: Probability = 2c2/5c2
= 1/10
Answer B
Answer: B
Question: The population of a town increases 25% and 40% respectively in two consecutive years. After the growth the present population of the town is 1750. Then what is the population of the town 2 years ago?
Options:
A)A)750
B)B)800
C)C)850
D)D)900
E)E)950
Rationale: Explanation:
Formula: (After =100 denominator
Ago = 100 numerator)
1750 * 100/125 * 100/140 = 1000
Answer: Option B
Answer: B
Question: Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 15% if no discount was offered?
Options:
A)17608
B)17606
C)17604
D)18400
E)117601
Rationale: Price at which the TV set is bought = Rs. 12,500
Discount offered = 20%
Marked Price = 12500 * 100/80 = Rs. 15625
The total amount spent on transport and installation = 125 + 250 = Rs. 375\Total price of TV set = 15625 + 375 = Rs. 16000
The price at which the TV should be sold to get a profit of 15% if no discount was offered = 16000 * 115/100 = Rs. 18400.Answer: D
Answer: D
Question: A certain number when divided by 899 leaves the remainder 63. Find the remainder when the same number is divided by 29.
Options:
A)5
B)4
C)1
D)0
E)Can not be determined
Rationale: Sol.(a) Number = 899Q + 63, where Q is quotient
= 31 × 29 Q + (58 + 5) = 29 [ 31Q + 2] + 5
∴ Remainder = 5 Answer A
Answer: A
Question: If 2 cards are selected (with replacement) at random from the deck of 52 cards then what is the probability that one of the selected cards will be a king or a queen, and the other card will be a jack? A deck of cards has a total of 52 cards, consisting of 4 suits: spades (black), hearts (red), diamonds (red), and clubs (black). In each suit, there are 13 cards including 1 king, 1 queen, and 1 jack.
Options:
A)3/16
B)3/32
C)3/64
D)4/169
E)8/169
Rationale: P(1 king or queen, and 1 jack) = 2(8/52*4/52) = 2(2/169) = 4/169
The answer is D.
Answer: D
Question: A fruit seller sells mangoes at the rate of Rs.16 per kg and thereby loses 12%. At what price per kg, he should have sold them to make a profit of 20%?
Options:
A)Rs.21.81
B)Rs.12
C)Rs.12.25
D)Rs.12.31
E)None
Rationale: Solution
88 : 16 = 120 : x
x= (16Ã—120/88)
= Rs.21.81
Hence, S.p per Kg	= Rs.21.81
Answer A
Answer: A
Question: If 90% of A = 30% of B and B = C% of A,then the value of C is ?
Options:
A)900
B)800
C)600
D)300
E)None
Rationale: Answer
∵ 90A/100 = 30B/100 = (30/100) x AC/100
∴ C = 100 x (100/30) x (90/100) = 300
Correct Option: D
Answer: D
Question: The sum of three consecutive numbers is 63. The greatest among these three number is:
Options:
A)26
B)28
C)29
D)22
E)31
Rationale: Let the numbers be x, x + 1 and x + 2
Then,
x + (x + 1) + (x + 2) = 63
3x =60
x = 20
Greatest number, (x + 2) = 22.
ANSWER:D
Answer: D
Question: There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?
Options:
A)Rs.3928
B)Rs.3920
C)Rs.3972
D)Rs.3979
E)Rs.3962
Rationale: Let P = Rs. 100. Then, S.I. Rs. 60 and T
= 6 years.
R = (100 * 60)/(100 * 6) = 10% p.a.
Now, P = Rs. 12000, T = 3 years and R
= 10% p.a.
C.I. = [12000 * {(1 + 10/100)3 - 1}]
= 12000 * 331/1000
= Rs.3972
Answer:C
Answer: C
Question: Total dinning bill for 9 people was $211.00.If they add 15% tip and divided the bill evenly ,approximate.What was each persons find share
Options:
A)$30.14
B)45.14
C)34.66
D)26.96
E)33.16
Rationale: 211*15=3165/100=31.65
211+31.65=242.65
242.65/9=26.96
ANSWER:D
Answer: D
Question: Find the fourth proportional to 2.8 , 3.4 and 5.2?
Options:
A)5.98
B)6.14
C)6.29
D)6.31
E)5.64
Rationale: Formula = fourth proportion =(b x c)/a
a=2.8 , b=3.4 and c=5.2
(3.4 x 5.2)/2.8=6.31
D
Answer: D
Question: Johnny bought six peanut butter cans at an average price (arithmetic mean) of 37.5¢. If Johnny returned two cans to the retailer, and the average price of the remaining cans was 31¢, then what is the average price, in cents, of the two returned peanut butter cans?
Options:
A)5.5
B)11
C)47.5
D)50.5
E)67.5
Rationale: Total price of six cans = 6*37.5 = 225
Total price of 4 cans = 4*31 = 124
Total rice of two cans = 225 - 124 = 101
Average price of two cans = 101/2 = 50.5 c
Another way to do it is this:
Assume that the four leftover cans were of 31c each. The avg was 37.5c initially because the two cans were 36.5c each and were providing another 6.5c of cost to other 4 cans.
So cost of the two cans = 2*37.5 + 4*6.5 = 101
Avg cost of the two cans = 101/2 = 50.5c
Answer (D)
Answer: D
Question: The age of a man is three times the sum of the ages of his two sons. Five years hence, his age will be double of the some of the ages of his sons. The father’s present age is :
Options:
A)29 years
B)36 years
C)42 years
D)45 years
E)None
Rationale: Sol.
Let the sum of present ages of the two sons be x years.
Then, faher’s present age = 3x years.
∴ (3x + 5) = 2 (x + 10) ⇔ 3x + 5 = 2x + 20 ⇔ x = 15.
Hence, father’s present age = 45 years.
Answer D
Answer: D
Question: The temperature in Winnipeg, Manitoba was 4 degrees Fahrenheit. At 8 pm the temperature was was -10 degrees Fahrenheit. What is the difference between the temperatures?
Options:
A)6
B)-14
C)14
D)-6
E)0
Rationale: Addition of positive and negative integers
4+-10=
answer is D)-6
Answer: D
Question: A man's age is 125% of what it was 10 years ago, but 83 X 1/3% of what it will be after 10years. What is his present age?
Options:
A)20
B)60
C)50
D)70
E)80
Rationale: C
50
Let the age before 10 years =x Then,
125x/100=x+10
⇒125x=100x+1000
⇒x=1000/25=40
Present age =x+10=40+10=50
Answer: C
Question: A, B and C started a business A's investment is 2 times of B's investment is 5 times of C's investment. Find the profit of B in the total profit of Rs. 25600.
Options:
A)Rs. 25600
B)Rs. 8500
C)Rs. 7200
D)Rs. 8000
E)None of these
Rationale: Explanation:
A = 2B and B = 5C
=> A : B = 2 and B : C = 5 : 1
=> A : B : C = 10 : 5 : 1
Ratio of capitals of A, B and C = 10 : 5 : 1
B's share = Rs.[(5/16) × 25600] = Rs. 8000
Answer: Option D
Answer: D
Question: A caterer ordered 225 ice-cream bars and 125 sundaes. If the total price was $200.00 and the price of each ice-cream bar was $0.60, what was the price of each sundae?
Options:
A)$0.52
B)$0.80
C)$1.00
D)$1.20
E)$1.60
Rationale: Let price of a sundae = S
Price of ice cream bar = .6 $
225 * .6 + 125*S = 200
=> 125*S = 65
=> S = 0.52
Answer A
Answer: A
Question: The average of the two-digit numbers, which remain the same when the digits interchange their positions, is?
Options:
A)76
B)88
C)55
D)86
E)26
Rationale: 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.
Answer: C
Answer: C
Question: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
Options:
A)270 m
B)189 m
C)278 m
D)279 m
E)917 m
Rationale: Relative speed = (72 - 36) * 5/18 = 2 * 5
= 10 mps.
Distance covered in 27 sec
= 27 * 10
= 270 m.
The length of the faster train
= 270 m.
Answer:A
Answer: A
Question: If the positive integer x is divisible by 3, 8, and 12, then which of the following must x be divisible by?
I. 24
II. 26
III. 48
Options:
A)IIonly
B)I only
C)I and II only
D)II and III only
E)I, II, and III
Rationale: LCM of 3, 8, 12 = 24
Answer = 24
Answer : B
Answer: B
Question: Three unbiased coins are tossed. What is the probability of getting at most two heads?
Options:
A)9/7
B)7/8
C)1/2
D)5/4
E)3/8
Rationale: Explanation:
Here S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}
Let E = event of getting at most two heads.
Then E = {TTT, TTH, THT, HTT, THH, HTH, HHT}.
P(E)=n(E)/n(S)=7/8
Answer:B
Answer: B
Question: The division of a whole number N by 10 gives a quotient of 15 and a remainder of 2. Find N.
Options:
A)152
B)197
C)597
D)997
E)297
Rationale: According to the division process of whole numbers, N can be written, using multiplication, as follows
N = quotient *divisor + remainder = 15* 10 + 2 = 152 correc answer A
Answer: A
Question: A salesman sold twice as much pears in the afternoon than in the morning. If he sold $510 kilograms of pears that day, how many kilograms did he sell in the afternoon?
Options:
A)120
B)180
C)340
D)280
E)320
Rationale: 3x=510
x=170
Therefore, the salesman sold 170kg in the morning and 2⋅170=340 kg in the afternoon. So answer is C.
Answer: C
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
Options:
A)125/128
B)115/122
C)125/126
D)125/122
E)125/112
Rationale: Required probability = 1 - 1/126
= 125/126
Answer:C
Answer: C
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Options:
A)772
B)369
C)277
D)270
E)782
Rationale: Speed = 72 * 5/18 = 20 m/sec.
Time = 26 sec.
Let the length of the train be x meters.
Then, (x + 250)/26 = 20
x = 270 m.
Answer: D
Answer: D
Question: Every Monday, Marina eats one croissant and every Tuesday she eats two croissants. On each subsequent day of the week, she eats a number of croissants equal to the sum of the croissants eaten on the two previous days, with the exception that if she eats more than four croissants on any particular day, the next day she will eat only one croissant. At the end of the week (which runs from Monday through Sunday), the cycle resets, and Marina goes back to eating one croissant on Monday, two on Tuesday, and so forth. If a particular month begins on a Saturday, how many croissants will Marina eat on the 30th of that month?
Options:
A)1
B)2
C)3
D)5
E)6
Rationale: She eat as follow
Mon - 1
Tue - 2
Wed - 3
Thr - 5
Fri - 1(since she had more than 4 previous day)
sat - 6
sunday - 1 (since she had more than 4 previous day)
so 30th day of month she will have 1.
Answer is A
Answer: A
Question: The price of an article has been reduced by 25%. In order to restore the original price the new price must be increased by?
Options:
A)33 1/3%
B)33 1/9%
C)33 1/3%
D)32 1/3%
E)33 1/2%
Rationale: 100
75
-------
75 ------- 25
100 ------ ? => 33 1/3%
Answer:A
Answer: A
Question: In 1995, the Johnsons spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johnsons cut back their water usage. By how much must the Johnsons have reduced their 1996 water usage to pay exactly the same amount Q in 1996 as they paid in 1995?
Options:
A)33 1⁄3%
B)40%
C)50%
D)66 2⁄3%
E)100%
Rationale: water rate increases by 50 % in 1996 means 150% of rate in 1995. to pay exactly the same amount in 1996 as they paid in 1995, water use should decrease in the same ratio
Q=150-> 100 means 1/3 rd= 33(1/3) %=A
Answer: A
Question: If 2x + y = 7 and x + 2y = 5, then 7xy/3 =?
Options:
A)A) 1
B)B) 2
C)C) 7
D)D) 18/5
E)E) 4
Rationale: 2*(x+2y = 5) equals 2x+4y=10
2x+4y=10
- 2x + y= 7
= 3y=3
Therefore Y = 1
Plug and solve...
2x + 1 = 7
2x=6
x=3
(7*3*1)/3
= 21/3
=7
C
Answer: C
Question: Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
Options:
A)9680
B)4280
C)2789
D)7892
E)2792
Rationale: (8000*3*2)/100 = 480
9200
--------
9680
Answer:A
Answer: A
Question: The ages of two person differ by 20 years. If 10 years ago, the elder one be 5 times as old as the younger one, their present ages(in years) are respectively
Options:
A)30, 10
B)25, 5
C)29, 9
D)35, 15
E)20,10
Rationale: Let their ages be x and (x + 20) years.
Then, 5(x - 10) = (x + 20 - 10)
=> 4x = 60
=>x =15
Their present ages are 35 years and 15 year.
ANSWER:D
Answer: D
Question: Sum of ages of two friends is 28 while difference is 4 then their ages are
Options:
A)20 years, 8 years
B)10 years, 18 years
C)24 years, 4 years
D)18 years, 16 years
E)None
Rationale: 24,4
ANSWER:C
Answer: C
Question: 2^3,5^2,6^1 Find largest Value?
Options:
A)2
B)3
C)1
D)10
E)25
Rationale: Explanation:
2^3=2*2*2=8
5^2=5*5=25
6^1=6*1=6
Hence 5^2 is the largest one
Answer:E
Answer: E
Question: WHEN A PERSON SELLS TWO ITEMS $900 each, ONE AT A GAIN OF 20% AND OTHER AT A LOSS OF 20%.THEN THE SELLER INCURES A LOSS OR GAIN OF:
Options:
A)4% loss
B)no loss no gain
C)1% loss
D)2% gain
E)5% gain
Rationale: When two items are sold at the same price, one at a profit of a% and other at a loss of a% (which means the cost price of one item was lower than the selling price and the cost price of the other item was higher than the selling price), there will always be a loss of (a^2)/100 %. e.g. Here a = 20, so loss % = (20)^2/100 % = 4%.
Answer : A
Answer: A
Question: A bag contains 3 blue and 5 white marbles. One by one, marbles are drawn out randomly until only two are left in the bag. What is the probability that out of the two, one is white and one is blue?
Options:
A)15/56
B)41/56
C)13/28
D)15/28
E)5/14
Rationale: The required probability = probability of choosing 6 balls out of the total 8 in such a way that we remove 4 out of 5 white and 2 out of 3 blue balls.
Ways to select 6 out of total 8 = 8C6
Ways to select 4 out of 5 white balls = 5C4
Ways to select 2 out of 3 blue balls = 3C2
Thus the required probability = (5C4*3C2)/8C6 = 15/28.
D is thus the correct answer.
Answer: D
Question: There are 3 teams each with 7 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?
Options:
A)50
B)23
C)147
D)28
E)45
Rationale: There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 49 possibilities (7*7) since each team has 7 players. So there are a total of 147 possibilities (49*3). I hope this method is easier for you to understand.
Answer: C
Question: If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?
Options:
A)16
B)127
C)12
D)18
E)25
Rationale: Given that, cost price of 50 article is equal to selling price of 40 articles.
Let cost price of one article = Rs. 1
Selling price of 40 articles = Rs. 50
But Cost price of 40 articles = Rs. 40
Therefore, the trader made profit.\Percentage of profit = 10/40 * 100 = 25%
Answer: E
Answer: E
Question: A farmer is planting a row consisting of 4 unique apple trees and 3 unique orange trees. How many ways are there for the farmer to plant the trees such that no apple tree is adjacent to another apple tree and no orange tree is adjacent to another orange tree?
Options:
A)512
B)576
C)1,024
D)288
E)10,080
Rationale: 2 possible arrangements are possible
AOAOAOAO
OAOAOAOA
2 unique type of trees are present consisting of 4 trees each
4 apple trees can be arranged in 4! ways
3 orange trees can be arranged in 4! ways
as 2 arrangements are possible
total arrangements = 2 *4! * 3! = 288
correct answer option D
Answer: D
Question: How many pieces of 75 cm can be cut from a rope 52.5 meters long?
Options:
A)30
B)40
C)60
D)None
E)Cannot be determined
Rationale: Explanation :
Total pieces of 75 cm that can be cut from a rope of 52.5 meters long is
= (52.5 meters)/(75 cm)
= (52.5 meters)/(0.75 meters)
= 70
Answer : D
Answer: D
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 6 boys when No boy gets more than one prize?
Options:
A)112
B)114
C)117
D)120
E)127
Rationale: Sol. In this case, repetitions are not allowed. So, the first prize can be given in 6 ways. The second in 5 ways and the third in 4 ways. But fundamental principle, (6 x 5 x 4) ways = 120 ways
D
Answer: D
Question: An investment receives 20% annual interest compounded semi-annually for 2 years. If its final value is $29,200, approximately what was the initial investment?
Options:
A)$ 17,000
B)$ 18,000
C)$ 19,000
D)$ 20,000
E)$ 21,000
Rationale: At the same time the key concept to keep in mind is that interest compound annually, semestral and so on are simply % increase or decrease, one after another.
Similarly, we have 100 and we have a discount of 20% and then 10 % . We have , of course, 80 and after this 10% of 80.
Here is the same.
here we have 20% 2 times per year so: 10% or 1.1 for two years. 1.141.14or 1.1 four times.
if we have the original amount X and the final amount 29,200. We need only to divide 29,200/1.1the result again 1.1 for four times.the result is 19943 We have approximately.
D is the answer.
Answer: D
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in?
Options:
A)766 min
B)656 min
C)144 min
D)877 min
E)555 min
Rationale: Let the slower pipe alone fill the tank in x min.
Then, faster pipe will fill it in x/3 min.
1/x + 3/x = 1/36
4/x = 1/36 => x = 144 min.Answer:C
Answer: C
Question: Three candidates contested an election and received 1136, 7636 and 21628 votes respectively. What percentage of the total votes did the winning candidate got
Options:
A)55%
B)56%
C)57%
D)71.1%
E)59%
Rationale: Explanation:
Total number of votes polled = (1136 + 7636 + 21628) = 30400
So, Required percentage = 21628/30400 * 100 = 71.1%
Answer: Option D
Answer: D
Question: In how many ways can 10 books be arranged on a shelf such that a particular pair of books should always be together?
Options:
A)9!
B)2!
C)3! * 2!
D)9! * 2!
E)9! * 5!
Rationale: We have a total of 10 books.
Given that a particular pair of books should always be together. Hence, just tie these two books together and consider as a single book.
Hence we can take total number of books as 9. These 9 books can be arranged in 9P9 =9!=9! ways.
We had tied two books together. These books can be arranged among themselves in 2P2 =2!=2! ways.
Hence, required number of ways
=9!×2!
ANSWER D 9! * 2!
Answer: D
Question: A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price t of the machine?
Options:
A)	81
B)	100
C)	120
D)	135
E)	160
Rationale: Since the wholesale price was $90 and the profit was 20% of the wholesale price ([.2][90] = $18), the retail price would have to be above $108, but not that much greater than that.
Let's start by TESTing Answer C: $120....
If.....
Retail Price t= $120
10% discount off = $120 - (.1)(120) = 120 - 12 = 108
20% profit on wholesale price = 90 + (.2)(90) = 90 + 18 = 108
These two numbers MATCH, so this MUST be the answer!
Final Answer:
[Reveal]Spoiler:
C
Answer: C
Question: P and Q be centers of two circle having radius 200cms. These circle intersect each other at some point A and B. Length of PQ is 250 cms. What will the angle AQP be?
Options:
A)between 0 to 45
B)between 0 to 30
C)between 0 to 60
D)between 0 to 75
E)between 0 to 100
Rationale: since if we draw the figure, then AP= 200 , AQ=200 and PQ=250
triangle property of 45- 45 - 90 is that H=L * root(2)
H= hypo and L= Leg.therefore H/L= root(2)
here H=250 and L=200 and H/L= 250/200= 1.25
and the value of root(2)== 1.44
so H/L= approx root(2).
Therefore the angle between H and L = near about 44 degree
so the ans will be 0 to 45.
ANSWER:A
Answer: A
Question: a survey of n people in the town of badaville found that 50% of them prefer brand A.another survey of 100 people in the town of Chotaville found that 60% prefer brand A.In total 55% of all the people surveyed prefer brand A.What is the total number of people surveyed?
Options:
A)100
B)200
C)300
D)400
E)500
Rationale: .5*n+.6*100=.55*(n+100)
n=100
total people surveyed=n+100
=100+100
=200
ANSWER:B
Answer: B
Question: The average age of 36 students in a group is 14 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years?
Options:
A)31
B)36
C)41
D)51
E)None
Rationale: Sol.
Age of the teacher = ( 37 × 15 – 36 × 14 ) years = 51 years.
Answer D
Answer: D
Question: The average age 18 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Options:
A)18
B)99
C)77
D)26
E)36
Rationale: 18 * 2 = 36 years
Answer: E
Answer: E
Question: Of the three-digit integers greater than 600, how many have two digits that are equal to each other and the remaining digit different from the other two?
Options:
A) 90
B) 82
C) 80
D) 107
E) 36
Rationale: Three digit number can have only following 3 patterns:
A. all digits are distinct;
B. two digits are alike and third is different;
C. all three digits are alike.
We need to calculate B. B=Total - A - C
Total numbers from 600 to 999 = 399 (3-digit numbers greater than 600);
A. all digits are distinct = *4*9*8=288 (first digit can have only three values 7, 8, or 9
C. all three are alike =4 (666,777, 888, 999).
So, 399-288-4=107
Answer: D
Answer: D
Question: A group of n students can be divided into equal groups of 4 with 3 student left over or equal groups of 5 with 3 students left over. What is the sum of the two smallest possible values of n?
Options:
A)66
B)46
C)49
D)53
E)86
Rationale: 4x+3 = 5y+3...........ie: 4x-5y = 0
x,y must be >1 and y is even ie ( 2,4,6,..etc)
if y = 2 thus x = fraction (not possible)
if y = 4 thus x =5 n =23
if y = 6 thus x = not possible fraction
if y =8 thus x = 10 n =43
23+43 = 66.....
A
Answer: A
Question: A and B start a business with Rs.1500 and Rs.3000 respectively. Hoe should they share their profits at the end of one year?
Options:
A)3:5
B)3:4
C)3:1
D)1:2
E)3:9
Rationale: They should share the profits in the ratio of their investments.
The ratio of the investments made by A and B =
1500 : 3000 => 1:2
Answer:D
Answer: D
Question: A trader sells goods to a customer at a profit of k% over the cost price, besides it he cheats his customer by giving 880 g only instead of 1 kg. Thus his overall profit percentage is 255. Find the value of k?
Options:
A)8.33%
B)8.25%
C)10%
D)12.5%
E)None
Rationale: Solution: % Profit = 25 /100 = (120 +k)/ 880
→ k = 100
Thus,
Net % profit = (100 *100) /1000 = 10%.
Answer: Option C
Answer: C
Question: Three numbers are in the ratio 3:5:7. The largest number value is 42. Find difference between Smallest & largest number is?
Options:
A)20
B)24
C)26
D)28
E)30
Rationale: == 3:5:7
Total parts = 15
= The largest number value is 42
= The largest number is = 7
= Then 7 parts -----> 42 ( 7 * 6 = 42 )
= smallest number = 3 & Largest number = 7
= Difference between smallest number & largest number is = 7 - 3 = 4
= Then 4 parts -----> 24 (4 * 6 = 24)
B
Answer: B
Question: A train running at the speed of 56 km/hr crosses a pole in 9 seconds. Find the length of the train?
Options:
A)140
B)272
C)278
D)277
E)112
Rationale: Speed = 56*(5/18) m/sec = 140/9 m/sec
Length of Train (Distance) = Speed * Time
(140/9) * 9
= 140 meter
Answer: A
Answer: A
Question: A train which is 150m. long passes a platform of 200 m in 15 sec. What is the speed of the train?
Options:
A)36 km/hr
B)64 km/hr
C)84 km/hr
D)91 km/hr
E)95 km/hr
Rationale: total distance cover by train in 15sec=150+200m
speed=distance/time
speed=350/15(m/s)
speed in km/hr=350/15*18/5=84km/hr
ANSWER:C
Answer: C
Question: A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 15 brown mice in the experiment, how many mice in total are in the experiment?
Options:
A)45
B)33
C)26
D)21
E)10
Rationale: Let total number of mice = M
Number of white mice = 2/3 M
Number of brown mice = 1/3 M = 15
=> M = 45
Answer A
Answer: A