divelab/Sys2Bench huggingface dataset:
Question: Which is a better investment 6% stock at of 220 or 5 1/2 stock at 200?
Options:
A)6% stock at of 220
B)Cannot be compared, as the total amount of investment is not given
C)Both are equally good
D)None
E)5 1/2 stock at 200
Rationale: Let investment in each case be Rs. (220 x 200).
Income in 1st case = Rs.6 x 220 x 200/220	= Rs. 1200.
Income in 2nd case = Rs.11 x 220 x 200/(2*200)= Rs. 1210
Clearly, 5 1/2 stock at 200 is better.
ANSWER:E
Answer: E
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 30 sec respectively. What is the speed of the train?
Options:
A)89
B)23
C)56
D)43.2
E)67
Rationale: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 8 => x = 8y
(x + 264)/30 = y
y = 12
Speed = 12 m/sec = 12 * 18/5 = 43.2 km/hr.
Answer: Option D
Answer: D
Question: The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?
Options:
A)4800
B)none of these
C)3600
D)1200
E)2400
Rationale: Let the price of a saree and a shirt be Rs. x and Rs. y respectively.
Then, 2x + 4y = 1600 .... (i)
and x + 6y = 1600 .... (ii)
Divide equation (i) by 2, we get the below equation.
=> x + 2y = 800. --- (iii)
Now subtract (iii) from (ii)
x + 6y = 1600 (-)
x + 2y = 800
----------------
4y = 800
----------------
Therefore, y = 200.
Now apply value of y in (iii)
=> x + 2 x 200 = 800
=> x + 400 = 800
Therefore x = 400
Solving (i) and (ii) we get x = 400, y = 200.
Cost of 12 shirts = Rs. (12 x 200) = Rs. 2400.
Answer is E.
Answer: E
Question: Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science?
Options:
A)24
B)18
C)20
D)25
E)16
Rationale: S:E = 1:3
E:M = 3:5
------------
S:E:M = 3:9:15
3/27 * 162 = 18
ANSWER B
Answer: B
Question: Amol was asked to calculate Arithmetic mean of 10 positive integers, each of which had 2 digits. By mistake, he interchanged the 2 digits, say a and b,in one of these 10 integers. As a result, his answer for the Arithmetic mean was 1.8 more than what it should have been. Then b - a equals
Options:
A)1
B)2
C)3
D)4
E)None of these
Rationale: Explanation :
Arithmetic mean is more by 1.8 means sum is more by 18.
So, ba – ab = 18.
b > a because sum has gone up, e.g. 31 – 13 = 18.
Hence, b – a = 2.
Answer : B
Answer: B
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.24000. A's share is?
Options:
A)2999
B)8000
C)6000
D)2889
E)6612
Rationale: x* 12 : 2x* 6: 3x* 4
1:1:1
1/3 * 24000 = 8000
Answer:B
Answer: B
Question: From the beginning to the end of 2007, the price of a stock rose 20 percent. In 2008, it dropped 25 percent. In 2009, it rose 15 percent. What percent of the stockâ€™s 2007 starting price was the price of the stock at the end of 2009?
Options:
A)80
B)103.5
C)95
D)100
E)108
Rationale: Assume a value at the beginning of 2007. As this is a % question, assume P=100.
At the end of 2007 it becmae = 1.2*100=120
At the end of 2008 it decreased by 25% = 120*.75 = 90
At the end of 2009 it increased by 20% = 90*1.15 = 103.5
Thus ratio = 103.5/100 = 1.03 (in % terms = 103%). Thus B is the correct answer.
Answer: B
Question: A man’s speed with the current is 16 km/hr and the speed of the current is 2.5 km/hr. the man’s speed against the current is :
Options:
A)8.5 km/hr
B)9.5 km/hr
C)11 km/hr
D)12.5 km/hr
E)None of these
Rationale: Solution
Man's rate in still water = (16-2.5) km/hr = 13.5 km/hr.
Man's rate against the current = (13.5-2.5) km/hr = 11 km/hr Answer C
Answer: C
Question: A large box contains 18 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?
Options:
A)250
B)350
C)450
D)550
E)650
Rationale: The number of chocolate bars is equal to
18 * 25 = 450
correct answer C
Answer: C
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Options:
A)11
B)50
C)99
D)77
E)55
Rationale: Speed of the train relative to man = 125/10 = 25/2 m/sec.
= 25/2 * 18/5 = 45 km/hr
Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.
x - 5 = 45 => x = 50 km/hr.
Answer: B
Answer: B
Question: A boy has 10 trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
Options:
A)120ways
B)110ways
C)125ways
D)130ways
E)145ways
Rationale: The boy can select one trouser in 10 ways.
The boy can select one shirt in 12 ways.
The number of ways in which he can select one trouser and one shirt is 10 * 12
= 120 ways.
Answer: A
Answer: A
Question: A bag contains 6 red, 4 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Options:
A)1/13
B)2/23
C)5/26
D)5/22
E)3/23
Rationale: P(Both are red),
=6C212C2=6C212C2
=15/66=5/22
D
Answer: D
Question: The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?
Options:
A)Remains same
B)5% decrease
C)5% increase
D)10% increase
E)20% increase
Rationale: 100 * 100 = 10000
125 * 80 = 10000
No change
ANSWER:A
Answer: A
Question: From the word 'ASTOUNDER', how many independent words can be made with-out changing the order of the letters and using each letter only once ?
Options:
A)5
B)8
C)3
D)2
E)9
Rationale: Explanation:
The words formed are
AT and UNDER, AS and UNDER (or) AT and SOUND
Answer: D) 2
Answer: D
Question: If each side of a square is increased by 25%, find the percentage change in its area.
Options:
A)26.25%
B)36.25%
C)46.25%
D)56.25%
E)66.25%
Rationale: Let each side of the square be a. Then, area = a2.
New side =(125a/100) =(5a/4). New area = (5a/4) 2=(25a2)/16.
Increase in area = ((25 a2)/16)-a2=(9a2)/16.
Increase% = [((9a2)/16)*(1/a2)*100] % = 56.25%.
Option D
Answer: D
Question: Two persons starting from the same place walk at a rate of 10kmph and 14.5kmph respectively. What time will they take to be 18km apart, if they walk in the same direction?
Options:
A)4 hrs
B)9 hrs
C)5 hrs
D)2 hrs
E)6 hrs
Rationale: The relative speed of the boys = 14.5kmph – 10kmph
= 4.5 kmph
Distance between them is 18 km
Time= 18km / 4.5 kmph = 4 hrs
Answer : A
Answer: A
Question: Three partners A,B and C invest Rs.18000, Rs.22500 and Rs.27000 respectively in a business. If total profit is Rs.12000 then B's share is (in Rs.)
Options:
A)10000
B)6500
C)4000
D)7500
E)8500
Rationale: 18000:22500:27000
4:5:6
B's share=12000*5/15=4000
ANSWER:C
Answer: C
Question: The school soccer team looks at their record and finds that they win, lose, and tie games in a ratio of 4:3:1. How many games did they play if they lost 9 games?
Options:
A)3
B)9
C)12
D)18
E)24
Rationale: The ratio is 4 wins: 3 losses: 1 tie.
Think of ratio as "parts."
Divide 9 (total losses) by 3 (ratio losses) to find 1 "part" of the ratio.
9/3 = 3
This means the team tied 3 games.
Multiply 3 (1 "part" of ratio) by 4 (ratio wins) to find total wins.
3*4 = 12.
This mean the team won 12 games.
Add up wins, losses, and ties.
12+9+3 = 24
The answer is E
Answer: E
Question: A gardener wants to plant trees in his garden in rows in such a way that the number of trees in each row to be the same. If there are 24 rows the number of trees in each row is 42 if there are 12 more rows find the number of trees in each row?
Options:
A)63
B)28
C)48
D)32
E)33
Rationale: Required number of trees
= 24/36 * 42 = 28.
ANSWER:B
Answer: B
Question: What is the average of xx, 2x2x, and 66?
Options:
A)x+2x
B)2x+2
C)x+2x+2
D)2x
E)2x+1
Rationale: By the definition of an average, we get:
x+2x+63=3x+63x+2x+63=3x+63
=3(x+2)3=x+2.=3(x+2)3=x+2.
Hence, the answer is x+2x+2 or Option C
Answer: C
Question: Five fencers participate in a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
Options:
A)6
B)8
C)12
D)16
E)20
Rationale: 5*4 = 20
The answer is E.
Answer: E
Question: In the city of San Durango, 80 people own cats, dogs, or rabbits. If 50 people owned cats, 20 owned dogs, 30 owned rabbits, and 16 owned exactly two of the three types of pet, how many people owned all three?
Options:
A)1
B)2
C)4
D)7
E)9
Rationale: Total = C + D + R - (CD + DR + CR) - 2CDR
80 = 50 + 20 + 30 - (16) - 2x
x = 2
So, answer will be B
Answer: B
Question: If 20% of a = b, then b% of 20 is the same as:
Options:
A)None of these
B)10% of a
C)4% of a
D)20% of a
E)30% of a
Rationale: Explanation:
20% of a=b
b=20a/100=a/5
b% of 20=20 x b/100
=b/5=a/5x1/5=a/25
=4a/100=4% of a
ANSWER IS C
Answer: C
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
Options:
A)18 2/91%
B)18 2/11%
C)18 9/11%
D)18 2/91%
E)12 2/11%
Rationale: 13 CP = 11 SP
11 --- 2 CP
100 --- ? =>18 2/11%
Answer:B
Answer: B
Question: The cost of 12 packets of sugar, each weighing 900 grams is Rs. 28. What will be the cost of 27 packets, if each packet weighs 1 kg?
Options:
A)Rs 52.50
B)Rs 56
C)Rs 58.50
D)Rs 70
E)None of these
Rationale: Explanation :
Let the required cost be Rs. x. Then,
More packets, More cost (Direct Proportion)
More weight, More cost (Direct Proportion)
Packets 12 : 27
Weight 900 : 1000 :: 28 : x
(12 x 900 x x) = (27 x 1000 x 28)
x = (27 x 1000 x 28) /12 x 900
=70
Answer D
Answer: D
Question: A train 490 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
A)15 sec
B)16 sec
C)28 sec
D)20 sec
E)25 sec
Rationale: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 490 * 2/35 = 28 sec
ANSWER: C
Answer: C
Question: Can you replace the question mark with the number to complete the series, provided the pair of numbers exhibits a similar relationship?
? : 4623 :: 9 : 647
Options:
A)17
B)16
C)14
D)19
E)20
Rationale: E
17
Explanation :
The relationship holds for below formula :
pow(x,3) - pow(x,2) - 1
=> 9*9*9 - 9*9 - 1
=> 729 - 81 - 1
=> 647
Similarly,
17*17*17 - 17*17 - 1
=> 4913 - 289 - 1
=> 4623
Answer: E
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 60 years now, the son's age 10 years back was?
Options:
A)12yr
B)15yr
C)14yr
D)10yr
E)20yr
Rationale: Let the son's present age be x years
Then, 60-x = x
x = 30
Son's age 10 years back = 30-10 = 20years
Answer is E
Answer: E
Question: A coin is tossed 3 times. Find out the number of possible outcomes.
Options:
A)None of these
B)8
C)2
D)1
E)3
Rationale: Explanation :
When a coin is tossed once, there are two possible outcomes - Head(H) and Tale(T)
Hence, when a coin is tossed 3 times, the number of possible outcomes
= 2 x 2 x 2 = 8
(The possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT ) Answer : Option B
Answer: B
Question: Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Options:
A)3.5%
B)4.5%
C)5.6%
D)6.5%
E)2.5%
Rationale: Cost Price of 1 toy = Rs.375/12= Rs. 31.25
Selling Price of 1 toy = Rs. 33
So, Gain = Rs. (33 - 31.25) = Rs. 1.75
Profit % =(1.75/31.25x 100)%	=28/5% =5.6%
Answer is C.
Answer: C
Question: A box contains 2 white balls, 3 black ball and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
Options:
A)74
B)58
C)12
D)52
E)64
Rationale: We may have ( 1 black and 2 non black) or (2 black and 1 non black)or(3 black)
=3c1 x 6c2 + 3c2 x 6c1 +3c3
=64
ANS: E
Answer: E
Question: What is the remainder when 8^381 is divided by 5 ?
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: I also agree that the remainder is '3' (using the last digit of the powers of 7). Could we have the official answer please?D
Answer: D
Question: The average of seven consecutive numbers A, B, C, D, E, F and G is 9. What percent of G is A?
Options:
A)42.0
B)48.0
C)50.0
D)52.2
E)54.0
Rationale: Explanation :
In such a case the middle number (D) is the average
∴ D = 9 and A = 6 and G = 12
Required percentage = 6/12 x 100 = 50.0
Answer : Option C
Answer: C
Question: A baker charges N dollars for a birthday cake. Next week, she intends to earn 320 dollars selling cakes. If she were to reduce the price of the cake by 20 percent, she would have to sell two more cakes to earn the same amount of revenue. How many cakes does she intend to sell next week?
Options:
A)2
B)4
C)6
D)8
E)10
Rationale: We're told that by selling cakes at N dollars/cake, a baker will make $320.
Reducing the price by 20% and selling 2 MORE cakes will also make her $320.
We're asked for the original number of cakes that the baker intends to sell.
$320 is a rather interesting number. Based on the answer choices, we're almost certainly dealing with integer values for the number of cakes AND the price per cake. As such, 6 is probably NOT going to be part of the solution (either as 4 and 6 cakes or as 6 and 8 cakes). As such, we can avoid Answers B and C....
Let's TEST ANSWER D: 8 cakes
IF....
Original cakes = 8
8(N) = $320, so N = $40/cake
20% off = $8 off = 40-8 = $32/cake
+2 more cakes = 8+2 = 10 cakes
10(32) = $320
This is an exact MATCH for what we were told, so this MUST be the answer.
Final Answer:
D
Answer: D
Question: If the perimeter of ΔACD is 9+3√3, what is the perimeter of equilateral triangle ΔABC?
Options:
A)9
B)18−3√3
C)18
D)18+3√3
E)27
Rationale: The altitude of an equilateral triangle is side*√3/2.
As perimeter of triangle ACD is 9+3√3, AC + CD + AD =
(side+side/2+side*√3/2) = 9 + 3√3 or side =6.
Perimeter of equilateral triangle, ABC is 3(side) or 18.
Answer:(OptionC)
Answer: C
Question: We bought a total of 90 books at the store. Math books cost $4 and history books cost $5. The total price was $396. How many math books did we buy?
Options:
A)47
B)54
C)56
D)61
E)64
Rationale: M + H = 90
H = 90 - M
4M + 5H = 396
4M + 5*(90 - M) = 396
M = 54
The answer is B.
Answer: B
Question: Kamalesh worked 27days and completed 75 percent of a particular work. Then he took the help of Lucifer and they together completed the remaining work in 5 days. How long will Lucifer take to complete the same work,if he is working alone
Options:
A)10 DAYS
B)40 DAYS
C)45 DAYS
D)47 DAYS
E)49 DAYS
Rationale: Kamlesh completed 75% of the work in 27 days. So,
Work rate of Kamlesh = 75/27 = 2.775 per day.
Kamlesh and Lucifer complted 25% remaining work in 5 days.Then
Work rate of Kamlesh and Lucifer, together = 25/5 = 5% per day.
So, Work rate of Lucifer = 5 - 2.77 = 2.23% per day.
To complete 100% work alone, Lucifer needs,
= 100/2.23 = 45 days.
ANSWER : OPTION C
Answer: C
Question: Find out the wrong number in the series.
6, 12, 48, 98, 384, 768, 3072
Options:
A)768
B)384
C)98
D)488
E)12
Rationale: Each even term of the series is obtained by multiplying the previous term by 2.
2nd term = (1st term) x 2 = 6 x 2 = 12
4th term = (3rd term) x 2 = 48 x 2 = 96.
6th term = (5th term) x 2 = 384 x 2 =768.
4th term should be 96 instead of 98.
ANSWER:C
Answer: C
Question: Two friends plan to walk along a 36-km trail, starting at opposite ends of the trail at the same time. If Friend P's rate is 25% faster than Friend Q's, how many kilometers will Friend P have walked when they pass each other?
Options:
A)19
B)20
C)21
D)22
E)23
Rationale: If Q complete x kilometers, then P completes 1.25x kilometers.
x + 1.25x = 36
2.25x=36
x = 16
Then P will have have walked 1.25*16=20 km.
The answer is B.
Answer: B
Question: The ratio of boys to girls in Class A is 3 to 5. The ratio of boys to girls in Class B is 4 to 5. If the two classes were combined, the ratio of boys to girls in the combined class would be 17 to 22. If Class A has one more boy and two more girls than class B, how many girls are in Class A?
Options:
A)8
B)9
C)10
D)11
E)12
Rationale: Since it is given that the ratio of boys to girls in Class A is 3 to 4 - so we can quickly eliminate the answer choices which are not multiples of 4.
so ans can either be 8 0r 12.
With 8 as answer - no of girls = 8
With 12 as answer - no of girls = 12
Now Class A has one more boy and two more girls than class B and also the ratio of boys to girls in Class B is 4 to 5.
So we are looking for number of girls in B to be divisible by 5.
With 8 as answer -> Girls = 8-2 = 6. (Not possible)
With 12 as answer -> Girls = 12-2 = 5.
So, answer = 10. ( C)
Answer: C
Question: A man has Rs. 320 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Options:
A)45
B)60
C)75
D)90
E)105
Rationale: Answer : B
Let number of notes of each denomination be x.
Then, x + 5x + 10x = 320
16x = 320
x = 20.
Hence, total number of notes = 3x = 60.
Answer: B
Question: What is the CP of Rs 100 stock at 6 discount, with 1/5% brokerage?
Options:
A)99.6
B)96.2
C)94.2
D)98.25
E)None of these
Rationale: Explanation:
Use the formula,
CP= 100 â€“ discount + brokerage%
CP= 100-6+1/5
94.2
Thus the CP is Rs 94.2.
ANSWER C
Answer: C
Question: In a survey of parents, exactly 5/6 of the mothers and 3/4 of the fathers held full-time jobs. If 60 percent of the parents surveyed were women, what percent of the parents did not hold full-time jobs?
Options:
A)12%
B)15%
C)18%
D)20%
E)25%
Rationale: Fathers without full-time jobs are 1/4*2/5 = 2/20 of all the parents surveyed.
Mothers without full-time jobs are 1/6*3/5 = 1/10 of all the parents surveyed.
The percent of parents without full-time jobs is 2/20 + 1/10 = 1/5 = 20%
The answer is D.
Answer: D
Question: A company pays 12.5% dividend to its investors. If an investor buys Rs.50 shares and gets 25% on investment, at what price did the investor buy the shares?
Options:
A)6.25
B)15
C)10
D)8
E)7
Rationale: Dividend = 12.5*50/100 = 6.25
25 income on investment rs 100
req==>6.25
ANSWER A
Answer: A
Question: What is the sum of all possible 3-digit numbers that can be constructed using the digits 2, 3, and 4 if each digit can be used only once in each number?
Options:
A)1776
B)1887
C)1998
D)2332
E)2554
Rationale: There are 6 possible arrangements of the three numbers.
Then each number will be in the hundreds, tens, and ones place two times each.
The sum is 2(222) + 2(333) + 2(444) = 1998
The answer is C.
Answer: C
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
Options:
A)667 sec
B)190 sec
C)888 sec
D)288 sec
E)999 sec
Rationale: Time taken by B run 1000 meters = (1000 * 10)/50 = 200 sec.
Time taken by A = 200 - 10 = 190 sec.
Answer: B
Answer: B
Question: The length of the diagonal of a square is 12 cm. Find its area and perimeter.
Options:
A)31.84 cm
B)33.84 cm
C)35.84 cm
D)38.84 cm
E)38.92 cm
Rationale: Diagonal of a square = 12 cm
Area of square = 1/2 (d)²
= 1/2 (12)²
= 1/2 × 12 × 12
= 72
Side of a square = √Area
= √72
= √(2 × 2 × 2 × 3 × 3)
= 2 × 3√2
= 6 × 1.41
= 8.46 cm
Perimeter of square = 4 × 8.46 = 33.84 cm
ANSWER OPTION :B
Answer: B
Question: The sum of four consecutive odd numbers is equal to the sum of 3 consecutive even numbers. Given that the middle term of the even numbers is greater than 101 and lesser than 200, how many such sequences can be formed?
Options:
A)12
B)17
C)25
D)33
E)50
Rationale: Sum of four consecutive odd numbers:
(2a - 3) + (2a - 1) + (2a + 1) + (2a + 3) = 8a
Sum of three consecutive even numbers:
(2b - 2) + 2b + (2b + 2) = 6b
Given 8a = 6b or a/b = 3/4, a and b can be any integers. So, 'a' has to be a multiple of 3 and 'b' has to be a multiple of 4. Possible solutions are: a = 3, b = 4; a = 6, b = 8; a = 9, b = 12 etc
Since 101 < 2b < 200 i.e.
51 <= b < 100
Since b also has to be a multiple of 4, the values that b can take are 52, 56, 60, 64 ... 96
Number of values b can take = (Last term - First term)/Common Difference + 1 = (96 - 52)/4 + 12
Answer:A
Answer: A
Question: he greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:
Options:
A)15 cm
B)25 cm
C)35 cm
D)42 cm
E)45 cm
Rationale: Required length = H.C.F. of 700 cm, 385 cm and 1295 cm = 35 cm. Answer: Option C
Answer: C
Question: The average of five results is 46 and that of the first four is 30. The fifth result is?
Options:
A)50
B)88
C)77
D)66
E)110
Rationale: 5 * 46 â€“ 4 * 30
= 110
Answer: E
Answer: E
Question: A train travels a certain distance taking 7 hrs in forward journey, during the return journey increased speed 12km/hr takes the times 5 hrs.What is the distance traveled
Options:
A)210 kms
B)30 kms
C)60 kms
D)90 kms
E)80 kms
Rationale: let the speed in the forward journey be x km/hr, also
given time taken in fwd journey = 7 hrs
during return journey
speed=(x+12)km/hr
time=5hrs
nw distance travelled in both the cases is same therefore
forward journey distance=return journey distance
7x=5(x+12)
7x-5x=60
2x=60
x=30km/hr
therefore distance travelled= 30*7=210km
or =5*(30+12)=210km
ANSWER:A
Answer: A
Question: A building contractor employs 20 male, 15 female and 5 child workers. To a male worker he pays Rs.25 per day, to a female worker Rs.20 per day and a child worker Rs.8 per day. The average wage per day paid by the contractor is?
Options:
A)13
B)21
C)77
D)88
E)11
Rationale: 20 15 5
25 20 8
500 + 300 + 40 = 840/40 = 21'
Answer: B
Answer: B
Question: In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Options:
A)1/7
B)1/11
C)2/7
D)2/9
E)2/11
Rationale: Explanation: P (getting a prize) = 10/(10+25) = 10/35 = 2/7
Option C
Answer: C
Question: If X = the product of three distinct prime numbers, how many factors does X have besides 1 and itself?
Options:
A)6
B)8
C)10
D)12
E)14
Rationale: Since X has 3 distinct prime factors, X has a total of 2^3 = 8 factors.
Besides 1 and itself, X has 6 factors.
The answer is A.
Answer: A
Question: Sunil purchases two books at Rs. 300 each. He sold one book 10% gain and other at 10% loss. What is the total loss or gain in percentage?
Options:
A)10% gain
B)1% loss
C)no loss or no gain
D)1% gain
E)2%
Rationale: tot cost = 300 + 300 = 600
total selling price
300 * 110/100 + 300 * 90/100 = 600
total cost price = total selling price
hence there is neither loss nor gain
ANSWER C
Answer: C
Question: Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle?
I. 2
II. 12
III. 22
Options:
A)I, II, and III
B)I and II only
C)II and III only
D)I and III only
E)II only
Rationale: Answer = A. I, II, and III
With dimensions of only 2 sides given (for a triangle), this becomes an open ended question
Any area is possible out of the three
Answer: A
Question: Of the female students at Barkely University, 5/6 are on the honor roll. Of the male students, 2/3 are on the honor roll. If 3/5 of the students are female, what fraction of all the students are on the honor roll?
Options:
A)5/9
B)3/15
C)23/30
D)43/60
E)53/90
Rationale: for total students take LCM OF FACTIONS=6*5=30
Let female students=x,
so male students=30-x
Now,female stu. on honor roll=5/6(x) and male stu. on honor roll=2/3(30-x)
as given total female stu.=3/5(30)=18
female stu.=(5/6)*18=15
and male stu.=(2/3)*12=8
fraction of honor student=(15+8)/30=23/30.
Correct answer is C.
Answer: C