divelab/Sys2Bench huggingface dataset:
Question: A man is 46 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
Options:
A)44 years
B)18 years
C)20 years
D)22 years
E)16 years
Rationale: Let the son's present age be x years. Then, man's present age = (x + 24) years.
(x + 46) + 2 = 2(x + 2)
x + 48 = 2x + 4
x = 44.
answer :A
Answer: A
Question: The number of livestock in a farm at the beginning of year 2000 was 100,000. During the year, the number increased by p%. During the next year 2001, there was a famine and the number decreased by q%. A census at the end of year 2001 revealed that the number of livestock in the farm was 100,000. Which of the following expressions is correct?
Options:
A)p > q
B)q > p
C)p = q
D)With the exception of 1 instance, p will be equal to q
E)There is no relation between p and q
Rationale: Number plugging in will be best strategy for this question.
Let p = 5%,
Per the question 100000(1.05)(1-q/100) = 100000 ---> q = 4.7%. Thus p > q and hence A is the correct answer
Answer: A
Question: A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
Options:
A)145
B)253
C)370
D)352
E)300
Rationale: Explanation:
Let the middle digit be x. Then, 2x = 10 or x = 5.
So, the number is either 253 or 352. Since the number increases on reversing the digits, so the hundred's digit is smaller than the unit's digit. Hence, required number = 253.
ANSWER IS B
Answer: B
Question: A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Options:
A)2 sec
B)6 sec
C)7 sec
D)8 sec
E)4 sec
Rationale: Speed of train relative to man = (60 + 6) km/hr = 66 km/hr
[66 * 5/18] m/sec = [55/3] m/sec.
Time taken to pass the man = [110 * 3/55] sec = 6 sec
Answer:B
Answer: B
Question: The owner of an electronic store charges his customer 9% more than the cost price. If a customer paid 1,26440 for an LED T.V., then what was the original price of the T.V.?
Options:
A)115000
B)115500
C)116000
D)117000
E)118000
Rationale: Selling Price = 109% of CP;
:. CP = 126440 × 100/109 = 116000
D)
Answer: D
Question: If x is an odd negative integer and y is an even integer, which of the following statements must be true?
I. (3x - 2y) is odd
II. xy^2 is an even negative integer
III. (y^2 - x) is an odd negative integer
Options:
A)I only
B)II only
C)I and II
D)I and III
E)II and III
Rationale: If x is an odd negative integer and y is an even integer, which of the following statements must be true?
I. (3x - 2y) is odd
3x - is always negative and odd
2y - can be 0, when y=0, or always even integer (positive or negative)
odd integer +/- even integer = always odd
I statement is always true
II. xy^2 is an even negative integer
y can be 0 => xy^2 = 0 (non-negative even) => II statement is not true
III. (y^2 - x) is an odd negative integer
y can be 0 => -x will be positive => III statement is not true
basing on above, only I statement will always be true
answer is A
Answer: A
Question: If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, what is the average marks of all the students?
Options:
A)53.23
B)54.68
C)51.33
D)50
E)52
Rationale: Explanation:
Average marks of batch 1 = 50
Students in batch 1 = 55
Total marks of batch 1 = 55 × 50
Average marks of batch2 = 55
Students in batch2 = 60
Total marks of batch2 = 60 × 55
Average marks of batch3 = 60
Students in batch3 = 45
Total marks of batch3 = 45 × 60
Total students = 55 + 60 + 45 = 160
Average marks of all the students
=(55×50)+(60×55)+(45×60)/160
=275+330+270/16
=875/16=54.68
Answer: Option B
Answer: B
Question: A room is 15m long, 4m broad and 3m height. Find the cost of white washing its four walls at 50p per m2 ?
Options:
A)33
B)57
C)55
D)99
E)12
Rationale: 2 *3(15 + 4) = 114
114 * 1/2 = Rs.57
Answer: B
Answer: B
Question: In a camp, there is a meal for 120 men or 200 children. If 170 children have taken the meal, how many men will be catered to with remaining meal?
Options:
A)30
B)20
C)18
D)57
E)63
Rationale: There is a meal for 200 children.
170 children have taken the meal.
Remaining meal is to be catered to 30 children.
Now, 200 children 120 men.
30 children = (120/200)x 30 = 18 men.
C
Answer: C
Question: A family had dinner in a restaurant and paid $30 for food. They also had to pay 9.5% sale tax and 10% for the tip. How much did they pay for the dinner?
Options:
A)$35.83
B)$35.84
C)$35.85
D)$35.86
E)$35.87
Rationale: SOLUTION
They paid for food, sales tax and tip, hence
total paid = $30 + 9.5% * 30 + 10% * 30 = $35.85
Answer C
Answer: C
Question: Two coins are tossed, find the probability that two Tails are obtained
Options:
A)1/3
B)1/4
C)1/5
D)1/7
E)2/3
Rationale: The sample space S is given by.
S = {(H,T),(H,H),(T,H),(T,T)}
Let E be the event "two heads are obtained".
E = {(T,T)}
P(E) = n(E) / n(S) = 1/4
B
Answer: B
Question: Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 7 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?
Options:
A)60
B)56
C)84
D)90
E)108
Rationale: B is the answer....
D = TS where D=distance, T=Time and S=Speed
To travel half distance, (2+2T) = 7T ==> T = 2/5 ==> 24 minutes
To travel double distance, 2(2+2T) = 7T ==> 2 ==>80 minutes
Difference, 56 minutes
B
Answer: B
Question: The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?
Options:
A)31
B)67
C)29
D)97
E)27
Rationale: Total score of the batsman in 20 matches = 800.
Total score of the batsman in the next 10 matches = 130.
Total score of the batsman in the 30 matches = 930.
Average score of the batsman = 930/30 = 31.
Answer: A
Answer: A
Question: A certain airline's fleet consisted of 110 type A planes at the beginning of 1980. At the end of each year, starting with 1980, the airline retired 3 of the TYPE A planes and acquired 4 new type B plans. How many years did it take before the number of type A planes left in the airline's fleet was less than 50 percent of the fleet?
Options:
A)15
B)16
C)17
D)18
E)19
Rationale: Let x be the number of years.
4x > 110 - 3x
7x > 110
x > 15 + 5/7
The answer is B.
Answer: B
Question: The circumferences of the wheels of a carriage are 6 3/14 dm and 8 1/18 dm. What is the least distance in which both wheels simultaneously complete an integral number of revolutions ? How often will the points of the two wheels which were lowest at the time of starting touch the ground together in 1 kilometre ?
Options:
A)47
B)24
C)45
D)34
E)56
Rationale: LCM of 6 3/14 dm and 8 1/18 dm =435/2=217 1/2 dm
and the required no. of revolutions = 2*10000/435= 45.9
The required answer =45 times
Answer is C
Answer: C
Question: A tour group of 25 people paid a total of $630 for entrance to a museum. If this price included a 10% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices
Options:
A)$22.68
B)$23.94
C)$24
D)$25.20
E)$30
Rationale: A.
Answer: A
Question: What is the next number in the sequence below?
1 4 9 16 25 36 49 64__ ?
Options:
A)121
B)100
C)49
D)64
E)81
Rationale: as the series of numbers are squares of numbers
1^2=1
2^2=4
3^2=9
and so on
therefore 9^2=81
ANSWER:E
Answer: E
Question: A rectangular swimming pool is 20 feet by 28 feet. A deck that has uniform width surrounds the pool. The total area of the pool and deck is 884 square feet. What is the width of the deck?
Options:
A)2 feet
B)2.5 feet
C)3 feet
D)4 feet
E)5 feet
Rationale: Assume the width of the deck = x
Area of pool and deck = (20 + 2x)*(28 + 2x) =884 {The deck is present at both ends of the length and the breadth, hence we need to add 2x}
(20 + 2x)*(28 + 2x) =884 can be written as
(10 + x)*(14 + x) = 221
140 + 24x + x^2 = 221
x^2 + 24x - 81 = 0
(x + 27)(x - 3) = 0
Hence x = -27 or 3. But a length cannot be negative
Hence width of the deck = x = 3
Correct option: C
Answer: C
Question: The probability that B can shoot a target two out of two times is 0.35. What is the probability that the target will be missed by B immediately after such two shots?
Options:
A)0.25
B)0.65
C)0.75
D)0.4
E)0.8
Rationale: Suppose there are total 'x' shots.
B shoots 2 out of 2 times. means out of x shots (x>2) B shots 2 out of 2 ----> B shots at least 2 out of x.
therefore, 2/x = 0.25 (given)
the target will be missed by B immediately after such two shots : this means he can shot just twice ...the third shot cannot happen which means he missed (x-2) shots.
thus, the probabilty of missing just after 2 shots is (x-2)/x.
(x-2)/x = 1 - 2/x
= 1 - 0.35
= 0.65
Answer : D
Answer: D
Question: Rectangular Floors X and Y have equal area. If Floor X is 8 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?
Options:
A) 13 1/2
B) 18
C) 18 3/4
D) 21
E) 16
Rationale: The area of a rectangle is: Area = length x width
We are given that floor X is 8 feet by 18 feet and that floor Y is 9 feet wide. So we can say:
length of X = 8
width of X = 18
width of Y = 9
length of Y = n
We also can say:
Area of Floor X = Area of Floor Y
(length of X)(width of X) = (length of Y)(width of Y)
(8)(18) = 9n
(8)(2) = n
16 = n
Answer E.
Answer: E
Question: When 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in favor of the resolution. What fraction x of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?
Options:
A)11/14
B)13/18
C)4/7
D)3/7
E)3/14
Rationale: If we use variable for total votes there will be too many fractions to manipulate with, so pick some smart #: let set total # of votes is 18.
2/9 of the votes on a certain resolution have been counted--> 4 counted and 18-4=14 votes left to be counted;
3/4 of those counted are in favor of the resolution--> 3 in favor and 1 against;
Ratio of those who voted against to those who voted for to be 2 to 1 there should be total of 18*2/3=12 people who voted against, so in the remaining 14 votes there should be 12-1=11 people who voted against. Thus x=11/14 of the remaining votes must be against.
Answer: A.
Answer: A
Question: How many positive integers less than 250 are there such that they are multiples of 15 or multiples of 16?
Options:
A)28.
B)29.
C)30.
D)31.
E)32.
Rationale: 250/15 = 16 (plus remainder) so there are 16 multiples of 15
250/16 = 15 (plus remainder) so there are 15 multiples of 16
We need to subtract 1 because 15*16 is a multiple of both so it was counted twice.
The total is 16+15-1 = 30
The answer is C.
Answer: C
Question: A boy can reach a certain place in 18 hours. If he reduces his speed by 1/30th, he goes 3 km less in that time. Find his speed.
Options:
A)5 km/hr.
B)6 km/hr
C)8 km/hr
D)14 km/hr
E)None of these
Rationale: Explanation :
Solution: Let the speed be x km/hr. then,
18x - (18 * 29x/30) = 3
=> 3X/5= 3
=> x = 5 km/hr.
Answer : A
Answer: A
Question: There are 6 identical pens and 8 identical books. In how many different ways can a person select at least one object from this set?
Options:
A)14
B)28
C)45
D)62
E)75
Rationale: We can select from 0 to 6 pens and from 0 to 8 books.
Thus the total possible ways to select objects is 7*9 = 63
We must subtract 1 for the case with 0 pens and 0 books.
The answer is D.
Answer: D
Question: A boat takes 19 hours for travelling downstream fro poin A to point B and coming back to a point C midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B?
Options:
A)180 km
B)190 km
C)220 km
D)230 km
E)None
Rationale: Sol.
Speed downstream = (14 + 4) km/hr = 18 km/hr;
Speed upstream = (14 - 4) km/hr = 10 km/hr.
Let the distance between A and B be x km. Then,
x/18 + (x/2)/10 = 19 ⇔ x/18 + x/20 = 19 ⇒ x = 180 km.
Answer A
Answer: A
Question: If the cost price of 10 articles is same as the selling price of 25 articles. Find the gain or loss percentage?
Options:
A)30% Gain
B)30% Loss
C)40% Gain
D)60% Loss
E)50% Loss
Rationale: Explanation:
10 cp = 25 sp
Cost price CP = 25
Selling price SP = 10
Formula = (SP-CP)/CP * 100 = (10 - 25)/25 * 100 = 60 % Loss
Answer: Option D
Answer: D
Question: If 5 women or 8 girls can do a work in 84 days. In how many days can 10 women and 5 girls can do the same work ?
Options:
A)33
B)66
C)55
D)32
E)88
Rationale: Given that 5 women is equal to 8 girls to complete a work so, 10 women=16 girls. Therefore 10women +5girls=16girls+5girls=21girls. 8 girls can do a work in 84 days then 21 girls= (8*84/21)=32days. Therefore 10 women and 5 girls can a work in 32days
Answer: D
Answer: D
Question: If 1/12 of the passengers on a ship are from North America, 1/4 are Europeans, 1/9 are from Africa, 1/6 are from Asia and the remaining 42 people are citizens of other continents, then how many passengers are on board the ship?
Options:
A)96
B)100
C)104
D)108
E)112
Rationale: 1/12 + 1/4 + 1/9 + 1/6 = (3+9+4+6)/36 = 11/18
Let x be the number of passengers on the ship.
42 = (7/18)x
x = 108
The answer is D.
Answer: D
Question: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.160. Find the unknown rate of two towels?
Options:
A)A)400
B)B)450
C)C)500
D)D)550
E)E)600
Rationale: 10 * 160 = 1600
3 * 100 + 5 * 150 = 1050
1600 – 1050 = 550
D
Answer: D
Question: What is the minimum value of |x-4| + |x+5| + |x-5| ?
Options:
A)-3
B)3
C)5
D)7
E)10
Rationale: A cannot be the answer as all the three terms are in modulus and hence the answer will be non negative.
|x-4| >= 0 --> Minimum occurs at x = 4
|x+5| >= 0 --> Minimum occurs at x = -5
|x-5| >= 0 --> Minimum occurs at x = 5
x = -5 --> Result = 9 + 0 + 10 = 19. Also any negative value will push the combined value of |x-4| + |x-5| to a value > 9.
x = 4 --> Result = 0 + 9 + 1 = 10
x = 5 --> Result = 1 + 10 + 0 = 11
So minimum value of the expression occurs at x = 4 and the resultant value = 10
Answer: E
Answer: E
Question: How many positive integers less than 100 are neither multiples of 2 or5.
Options:
A)a)30
B)b)31
C)c)40
D)d)33
E)e)34
Rationale: To answer this Q we require to know
1) multiples of 2 till 100 = 100/2 = 50
2) Multiples of 5 till 100 = 100/5 = 20
add the two 50+20=70 ; subtract common terms that are multiple of both 2 and 5..
LCM of 2 and 5 = 10
Multiples of 10 till 100 = 100/10 = 10
so total multiples of 2 and 5 = 70-10 = 6
ans = 100-60 = 40
C
Answer: C
Question: Two representatives must be selected from each of two groups of students. One group consists of three men and two woman, and the other group consists of two women and one man. What is the probability that 2 men and 2 women will be selected ?
Options:
A)1/6
B)1/4
C)2/7
D)1/3
E)5/12
Rationale: Group 1: 3 Men and 2 Woman
Group 2: 1 Men and 2 Woman
Need: 2 Men and 2 women
Case 1: 2 Men from Group 1 and 2 women from group 2 - 3C2*2C2 = 3 ways
Case 2: 1 Men and 1 Woman from Group 1 and 1 Man and 1 women from group 2 - 3*2*1*2 = 12 ways
Total Favorable cases = 3+12 = 15
Total Possible ways of selecting students 2 from each group = 4C2*4C2 = 6*6 = 36
Probability = 15/36 = 5/12
Answer : Option E
Answer: E
Question: Divide Rs.32000 in the ratio 1:7?
Options:
A)12000, 20000
B)12000, 200098
C)4000, 28000
D)12000, 20006
E)12000, 20001
Rationale: 1/8 * 32000 = 4000
7/8 * 32000 = 28000
Answer: C
Answer: C
Question: If the same letters represent the same digit and different letters represent different digits, what digit does the letter A represent?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: Look at the digits in the ones place, there are 2 possible values for A + B + B:
A + B + B = A or A + B + B = 10 + A.
If A + B + B = A , B = 0. If A + B + B = 10 + A, B = 5.
Since B is a leading digit of BA, B cannot be a 0. B has to be a 5.
Look at the digits in the tens place, there are 2 possible values for 5 + A + A + 1:
5 + A + A + 1 = 10 + A or 5 + A + A + 1 = 20 + A
If 5 + A + A + 1 = 10 + A, A = 4. If 5 + A + A + 1 = 20 + A, A = 14. Since A is a single digit number, A has to be 4.
correct answer D
Answer: D
Question: Convert the following in a fraction: 0.75%
Options:
A)75/100
B)3/4
C)1/75
D)2/5
E)None of the Above
Rationale: 0.75 =75/100 = 3/4
Answer is B.
Answer: B
Question: A bowl was filled with 100 ounces of milk, and 0.0001 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)0.005%
B)B)0.05%
C)C)5%
D)D)50%
E)E)52%
Rationale: Total amount of milk evaporated each day during a 50-day period = .0001 * 50
= .005
percent of the original amount of milk evaporated during this period = (.005/100) * 100%
= 0.005 %
Answer A
Answer: A
Question: Ashley and Vinie work on a sales staff with 8 other salespeople. If five members of the staff will be chosen at random to attend a sales workshop, what is the probability that both Ashley and Vinie will be chosen?
Options:
A)1/10
B)3/28
C)2/9
D)1/4
E)1/2
Rationale: I did slightly different and hence obviously ended up with the answer 2/9.
I assumed that because Ashley and Vinie have to be chosen, the remaining selection is 3 people from 8.
8C3/10C5= 2/9. Option C.
Answer: C
Question: AMS employs 8 professors on their staff. Their respective probability of remaining in employment for 10 years are 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. The probability that after 10 years at least 7 of them still work in AMS is ?
Options:
A)0.19
B)1.22
C)0.1
D)0.04096
E)none of these
Rationale: Asking atleast 6 of them continue ,
it has 3 cases.
1 all 8 professors continue.
2 7 professors continue and 1 professors discontinue.
1st case all 8 continue is = 2/10*3/10*4/10*5/10*6/10*7/10*/8/10*9/10=9factorial/10power8
=362880/100000000
=>0.00363.
2nd case any 7 professors continue, and 1out of 8 discontinue ,8C1 means 8 ways.
= 2/10*3/10.......8/10*1/10, (9/10 prodbability professor discontinue then 1/10)
in this way if we calculate for 8 possibilities then value is =>0.03733.
=0.00363+0.03733+0.1436=0.18456=0.04096
D
Answer: D
Question: Virat buys an old car for Rs. 40000 and spends Rs. 4000 on its repairs. If he sells the car for Rs. 60000, his gain percent is:
Options:
A)3 (4/7) %
B)11 (1/9) %
C)12 (2/3) %
D)12%
E)36.36%
Rationale: Explanation:
C.P. = Rs. (40000 + 4000) = Rs. 44000
S.P. = Rs. 60000.
Gain% = ( (16000 / 44000) * 100 ) % = 36.36%
ANSWER E
Answer: E
Question: Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 50 minutes, how many times do they toll together?
Options:
A)4
B)10
C)15
D)16
E)26
Rationale: L.C.M of 2,4,6,8,10,12 is 120. i.e after each 2 min they will toll together.So in 50 min they will toll 25 times.As they have initially tolled once,The answer will be 25+1=26.
ANSWER:E
Answer: E
Question: If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is?
Options:
A)426
B)526
C)207
D)204
E)297
Rationale: Given ratio
= 1/2:2/3:3/4 = 6:8:9
1st part = 782 * 6/23
= Rs. 204.
Answer:D
Answer: D
Question: Find out the wrong number in the given sequence of numbers.
1, 2, 6, 15, 31, 56, 91
Options:
A)22
B)91
C)37
D)28
E)21
Rationale: Explanation:
1, 1 + 12 = 2, 2 + 22 = 6, 6 + 32 = 15, 15 + 42 = 31, 31 + 52 = 56, 56 + 62 = 92
Last number of given series must be 92 not 91.
Answer: B) 91
Answer: B
Question: rahul played weel in this season.his current batting averagge is 46.if he score 78 runs in today match.his batting average will become 54.how many matches had he played in this season.
Options:
A)8
B)10
C)3
D)6
E)5
Rationale: 46x+78=54(x+1)
=>8x=24
=>x=3
ANSWER:C
Answer: C
Question: The simple interest on Rs. 34 for 8 months at the rate of 6 paise per rupeeper month is
Options:
A)16.32
B)16.9
C)12.25
D)13.21
E)None
Rationale: Sol.
S.I. = Rs. [34 * 6/100 * 8] = Rs. 16.32
Answer A
Answer: A
Question: A train running at the speed of 58 km/hr crosses a pole in 9 seconds. Find the length of the train?
Options:
A)145
B)272
C)278
D)277
E)112
Rationale: Speed = 58*(5/18) m/sec = 145/9 m/sec
Length of Train (Distance) = Speed * Time
(145/9) * 9
= 145 meter
Answer: A
Answer: A
Question: Calculate the average mark scored by Andrea if he had the following scores in an examination: 66, 60, 72, 77, 55 and 85 marks (out of 100) in English, Mathematics, Chemistry, Biology, French Language and Physics respectively?
Options:
A)74
B)76
C)70
D)67
E)69.2
Rationale: Explanation:
Average mark = 66+60+72+77+55+85/6=69.2
Answer: Option E
Answer: E
Question: A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 70 paise per sq. metre
Options:
A)s595
B)s780
C)s880
D)s480
E)s980
Rationale: area of the plot=110m*65m=7150sq.m
area of plot excluding gravel=105m*60m=6300sq.m
area of gravel =7150sq.m-6300sq.m =850sq.m
cost of building it = 850sq.m*70
= 59500p
in Rs =59500/100=Rs595
ANSWER:A
Answer: A
Question: The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average one number, namely 36 was wrongly read as 26. The correct average is :
Options:
A)12.4
B)14
C)16
D)18.6
E)None of these
Rationale: Explanation:
Sum of numbers = (10××15-26+36)=160
Correct average = 160/10=16
Correct Option: C
Answer: C
Question: A woman sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
Options:
A)11%
B)700%
C)430%
D)9%
E)125
Rationale: D
(30*30)/100 = 9%loss
Answer: D
Question: A man sells an article at 15% loss. Had he sold it for Rs. 70/- more he could have gained 20%. What is the cost price of the article?
Options:
A)Rs.200/-
B)Rs.400/-
C)Rs.460/-
D)Rs.480/-
E)None of these
Rationale: Explanation:
Short cut method:
Loss =====> 15 %
Profit ====> 20 %
~
----------------
35 % ---------> Rs. 70/-
100 % --------> Rs. 200/-
Answer: Option A
Answer: A
Question: The sector of a circle has radius of 21 cm and central angle 180o. Find its perimeter?
Options:
A)91.5
B)92
C)108
D)94
E)95
Rationale: Perimeter of the sector = length of the arc + 2(radius)
= (135/360 * 2 * 22/7 * 21) + 2(21)
= 108 cm
Answer: Option C
Answer: C
Question: If 40% of a number exceeds 25% of it by 18, then find the number?
Options:
A)120
B)150
C)200
D)64
E)100
Rationale: Use the elimination method to find the correct option.
Of all the options only 120 fits
40% of 120 = 48
25% of 120 = 30
48 -30 = 18
Required number is 180.
ANSWER:A
Answer: A
Question: Among the first 1 million numbers, 40 is a number that is pretty unique.
Can you find out why ?
Options:
A)36
B)31
C)45
D)39
E)40
Rationale: E
40
The number 40 (Forty) is the only number in one million numbers whose letters are arranged in the order they are arranged in English alphabets as well.
Answer: E
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Options:
A)22
B)77
C)18
D)77
E)65
Rationale: Total CP = Rs. 42000 + Rs. 13000 = Rs. 55000 and SP = Rs. 64900
Profit(%) = (64900 - 55000)/55000 * 100 = 18%
Answer: C
Answer: C
Question: If l / r is an integer, which of the following statements must be true?
Options:
A)both l and r are integers
B)r / l is an integer
C)r is an integer
D)l = nr where n is an integer
E)either l or r is negative
Rationale: Let l = 1/4; r = 1/8 --> l/r = 2
l= nr where n is an integer --> 1/4 = 2*(1/8) --> Correct
Answer: D
Answer: D