divelab/Sys2Bench huggingface dataset:
Question: One fast typist type some matter in 4hrs and another slow typist type the same matter in 7hrs. If both do combine in how much time they will take to finish.
Options:
A)1 hr 10 mins
B)1 hr 30 mins
C)2 hr 32 mins
D)3 hr 15 mins
E)4 hr 20 mins
Rationale: Fast's 1 hr work = 1/4
slow's 1 hr work = 1/7
1/4 + 1/7 = 11/28
they ll finish in 28/11hrs= 2 6/11 ==> 2 hr 32 mins
ANSWER:C
Answer: C
Question: If 2x + y = 7 and x + 2y = 5, then 2xy/3 =?
Options:
A) 1
B) 2
C) 17/5
D) 18/5
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
(2*3*1)/3
= 6/3
=2
B
Answer: B
Question: On a summer camp, 20% of the campers paid $120 each, 35% paid $80 each and the rest paid $65 each. What percentage of the total amount paid came from the campers who paid $80?
Options:
A)18%
B)21%
C)26%
D)33.3%
E)35.89%
Rationale: let the total no of campers be 100
total amount = (20*120)+(35*80)+(40*65) = 2400+2800+2600= $7800
required percentage = (28/78)*100 =33.89%
E
Answer: E
Question: What are the last two digits of 33*76*47*22*58*91?
Options:
A)16
B)20
C)18
D)22
E)24
Rationale: 33*76*47*22*58*91=
We have to focus on the last two digits only, so 33*76=08*47=76*22=72
72*58=76 therefore 76*91=16
Hence Answer is A
Answer: A
Question: The smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 is
Options:
A)1008
B)1015
C)1022
D)1032
E)None of these
Rationale: Explanation:
Required Number = (L.C.M of 12, 16, 18,21,28)+7
= 1008 + 7
= 1015. Answer: B
Answer: B
Question: A man has some hens and cows. If the number of heads be 50 and the number of feet equals 160, then the number of hens will be:
Options:
A)22
B)23
C)24
D)20
E)28
Rationale: Explanation:
Let the number of hens be x and the number of cows be y.
Then, x + y = 50 .... (i)
and 2x + 4y = 160 x + 2y = 80 .... (ii)
Solving (i) and (ii) we get: x = 20, y = 30
The required answer = 20.
Answer: D
Answer: D
Question: A and B play a game where each is asked to select a number from 1 to 16. If the two numbers match , both of them win a prize. Find the probability that they will not win a prize in a single trial.
Options:
A)15/16
B)1/16
C)7/8
D)9/8
E)None of these
Rationale: Explanation :
A and B win a prize, only if both A and B select the number. So, if A chooses a number, B has to select the same number. Hence, it is problem on dependent event.
Let A select a number., then P(A) = 1/16 = probability of A.
Now, B selects the same number after A has already selected that number.
Then, P(B/A) = 1/1 = dependent probability of B given A has occurred.
P(AB) = Probability of winning a prize by both A and B is :-
=> P(A) x P(AB).
=> (1/16) x 1 = 1/16.
Hence, the probability of not winning a prize is :-
= 1 - (1/16).
= 15/16.
Answer : A
Answer: A
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 4 different boat to go and 7 flight to return. In how many ways, can the boy perform his journey?
Options:
A)28
B)30
C)43
D)45
E)80
Rationale: Ans.(A)
Sol. Number of choices to go by ship = 4 Number of choices to return by airline = 7 From, fundamental principle, total number of ways of performing the journey = 4 x 7 = 28 ways
Answer: A
Question: In an examination, a student scores 4 marks for every correct answer and loses I mark for every wrong answer. If he attempts in all 60 questions and secures 130 marks, the number of questions he attempts correctly, is:
Options:
A)35
B)38
C)40
D)42
E)52
Rationale: Explanation:
Let the number of correct answers be X.
Number of incorrect answers = (60 – X).
= 4x – (60 – x) = 130
=> 5x = 190 => x = 38
Answer: B
Answer: B
Question: Find the value of x: x² - 4x + 4.
Options:
A)2
B)4
C)-2
D)-4
E)0
Rationale: That quadratic is factored as follows:x² - 4x +4 = (x-2)(x-2).Lesson 17.Now, it is easy to see that the second factor will be 0 when x = 2.The solution is:x	=	2 A
Answer: A
Question: A factory produces x widgets per day. The factory's fixed costs are $8000 per day. The price per widget is $80 and the variable costs are $20 per widget. How many widgets need to be produced for profits of $5000 a day?
Options:
A)42.33
B)90.33
C)168
D)216.67
E)400
Rationale: profits=5000=60x-8000 --> x=216.67
Answer D.
Answer: D
Question: A circle has 29 points arranged in a clock wise manner from o to 28. A bug moves clockwise manner from 0 to 28. A bug moves clockwise on the circle according to following rule. If it is at a point i on the circle, it moves clockwise in 1 sec by (1 + r) places, where r is the remainder (possibly 0) when i is divided by 11. If it starts in 23rd position, at what position will it be after 2012 sec.
Options:
A)2012
B)2997
C)2977
D)1979
E)7112
Rationale: Ans: After 1st second, it moves 1 + (23/11)r = 1 + 1 = 2, So 25th position
After 2nd second, it moves 1 + 25/11 = 1 + 3 = 4, So 29th position = 0
After 3rd second, it moves 1 + 0/11 = 1 + 0 = 1, So 1st position
After 4th second, it moves 1 + 1 = 3rd position
after 5th, 1 + 3/11 = 4 So 7th
After 6th, 1 + 7/11 = 8 so 15th
After 7th, 1 + 15/11 = 5 so 20th
After 8th, 1 + 20/11 = 10th, So 30th = 1st
So it is on 1st after every 3 + 5n seconds. So it is on 1st position after 2008 seconds (3 + 5 x 401) So on 20th after 2012 position.
Answer:E
Answer: E
Question: What is the decimal equivalent of (1/2)^2?
Options:
A)0.0016
B)0.0625
C)0.16
D)0.25
E)0.5
Rationale: (1/2)² = (1/2)(1/2)= 1/4
APPROACH #1: use long division to divide 4 into 1 to get 1/4 = 0.25
D
Answer: D
Question: A certain junior class has 1,000 students and a certain senior class has 800 students. Among these students, there are 20 siblings pairs, each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected at will be a sibling pair?
Options:
A)3/40,000
B)1/3,600
C)9/2,000
D)1/40,000
E)1/15
Rationale: Total number of ways of choosing one student from each group is = 800 * 1000
Number of cases in which a sibling pair will be got is = 60
Thus the probability that the 2 students selected will be a sibling pair is
= 20 /(800 * 1000)
= 1/40,000
D
Answer: D
Question: | x | + x^3 =0 solve x ?
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: let x=-1
|X|=1
x^3=(-1)^3=-1
|x|+x^3=1-1=0
so X=-1
and also x= 0 because here didn't mention any condition
ANSWER:A
Answer: A
Question: In Plutarch Enterprises, 70% of the employees are marketers, 10% are engineers, and the rest are managers. Marketers make an average salary of $50,000 a year, and engineers make an average of $80,000. What is the average salary for managers if the average for all employees is also $80,000?
Options:
A)$80,000
B)$130,000
C)$240,000
D)$370,000
E)$320,000
Rationale: For sake of ease, let's say there are 10 employees: 7 marketers, 1 engineers, and 2 manager.
Average company salary * Number of employees = Total company salary
>>> $80,000 * 10 = $800,000
Subtract the combined salaries for the marketers (7 * $50,000) and the engineers ( $80,000)
>>> $800,000 - $350,000 - $80,000 = $370,000.
The correct answer is D.
Answer: D
Question: Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 3% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
Options:
A)2:9
B)2:7
C)1:7
D)1:4
E)1:3
Rationale: 2% is 1%-point below 3% and 10% is 7%-points above 3%.
The ratio of A:B should be 1:7.
The answer is C.
Answer: C
Question: If the operation @ is defined for all a and b by the equation a@b =(a/b)+(b/a) then (5@2)-3=?
Options:
A)0.5
B)0.1
C)0.4
D)0.2
E)0.3
Rationale: work within the parenthesis first so solve (5@2) first
(5@2)=(5/2)+(2/5)=29/10=2.9
now take 2.9 plug back into equation and solve the rest
3-(2.9)=0.1
so 0.1 is the answer....this question is merely testing order of operations
remember PEMDAS
Option B
Answer: B
Question: If p and q are prime numbers, how many divisors does the product p^2 * q^5 have?
Options:
A)8
B)10
C)12
D)15
E)18
Rationale: when a number N=a^x*b^y, where a and b are prime numbers, and x, y are positive integers, the number of divisors of N=(x+1)(y+1)
Therefore, the answer is E. 3*6=18
Answer: E
Question: Four candidates contested an election and received 3408, 2500, 5050 and 3400 votes respectively. What percentage of the total votes did the winning candidate get ?
Options:
A)57.30%
B)45.20%
C)40.25%
D)35.17%
E)50.24%
Rationale: Explanation :
Total number of votes polled = (3408 + 2500 + 5050 + 3400)
= 61200.
Required percentage = (5050/ 14358) x 100 %
= 35.17%.
Answer : D
Answer: D
Question: Three times the first of three consecutive odd integers is 7 more than twice the third. The third integer is:
Options:
A)9
B)11
C)13
D)15
E)19
Rationale: Let the three integers be x, x + 2 and x+ 4.
Then,
3x = 2(x + 4) + 7
x = 15
Third integer = x + 4 = 19.
ANSWER:E
Answer: E
Question: Which of the following will give a non-integer on taking cube root?
Options:
A)–64
B)–1
C)8
D)9
E)27
Rationale: all except 9, square root of 9 is 3 which is an integer but cube root is not an integer
so answer is D
Answer: D
Question: The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?
Options:
A)Rs.3000
B)Rs.3300
C)Rs.3600
D)Rs.3900
E)Rs.4500
Rationale: Explanation:
P = 144(100/5)2 => P = 3600
ANSWER IS C
Answer: C
Question: At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 17 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 4 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: 39 = 17+ 18 + 12 - 4 - 2x
2x = 17 + 18 + 12 - 4 - 39
= 43 - 39
= 4
x = 2
A
Answer: A
Question: In the county of Veenapaniville, there are a total of 50 high schools, of three kinds: 24 public schools, 16 parochial schools, and 10 private independent schools. These 50 schools are divided between three districts: A, B, and C. District A has 18 high schools total. District B has 17 high schools total, and only two of those are private independent schools. If District C has an equal number of each of the three kinds of schools, how many private independent schools are there in District A?
Options:
A)3
B)2
C)4
D)5
E)6
Rationale: Total Private Schools = 10
Dist A: High Schools = 18 ==> Private Schools = ?
Dist B: High Schools = 17 ==> Private Schools = 2
Dist C: High Schools = 15 ==> Private Schools = 5
Therefore, 10 - 2 - 5 ==> 2
Answer A)
Answer: A
Question: A 6 faced die is thrown. The probability that the die will land on the number 4 is what?
Options:
A)1/6
B)1/2
C)1/12
D)1/4
E)1/5
Rationale: There are six sides to the die and only one side has a 4 on it, so the probility is 1/6 Answer:A
Answer: A
Question: In 2 bags, there are to be put together 5 red and 12 white balls, neither bag being empty. How must the balls be divided so as to give a person who draws 1 ball from either bag-
Options:
A)9/18
B)9/16
C)9/11
D)9/12
E)9/13
Rationale: (1) Put 1 white in first bag, and all the remaining ball in second bag. Probability = 12×0+12×51612×0+12×516 = 532532
(2) To maximize, we put 1 red in the first bag, and all the remaining in the second. Probability = 12×1+12×43212×1+12×432 = 9/16
Answer:B
Answer: B
Question: A man goes downstream at 14 kmph, and upstream8 kmph. The speed of the stream is
Options:
A)0kmph
B)4kmph
C)16kmph
D)2.5kmph
E)3kmph
Rationale: Speed of the stream = 1/2(14-8)kmph
=3kmph.
correct option :E
Answer: E
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Options:
A)230
B)240
C)250
D)260
E)270
Rationale: Speed = 54 * 5/18 = 15 m/sec.
Length of the train = 15 * 20 = 300 m.
Let the length of the platform be x m . Then,
(x + 300)/36 = 15 => x = 240 m.
Answer: Option B
Answer: B
Question: A tap can fill a tank in 20 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
Options:
A)11 hrs 30 mins
B)10 hrs 30 mins
C)12 hrs
D)12 hrs 30 mins
E)2 hrs 30 mins
Rationale: Explanation:
A tap can fill a tank in 20 hours.
Therefore the tap can fill half the tank in 10 hours.
One tap take time to fill half of the tank = 10 hrs
4 taps take time to fill half of the tank =10/4 hrs = 2 1/2 hrs
Total time taken to fill the tank = 10 hr+2 1/2 hr = 12 hrs 30 mins
Answer : D
Answer: D
Question: A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8m, the volume of the box (in m3) is:
Options:
A)4830
B)5120
C)6420
D)8960
E)None of these
Rationale: Explanation:
clearly, l = (48 - 16)m = 32 m,
b = (36 - 16)m = 20 m,
h = 8 m.
Volume of the box = (32 x 20 x 8)m3 = 5120 m3.
Answer: B
Answer: B
Question: It takes John exactly 30 minutes to rake a lawn and it takes his son Todd exactly 60 minutes to rake the same lawn. If John and Todd decide to rake the lawn together, and both work at the same rate that they did previously, how many minutes will it take them to rake the lawn
Options:
A)16
B)36
C)20
D)45
E)90
Rationale: 1)POE- John takes 30 min so if he takes help of someone else, it has to be less than 30 min..
only A and B are left..
if both do the work in 30 mis each, the combined time will be 15 mins, so 16 is slightly less when the other person does in 60 mins..
ans 20 C
Answer: C
Question: John went to the Hospital at the speed of 60 km per hour while returning for his home he covered the half of the distance at the speed of 10 per hour, but suddenly he realized that he was getting late so he increased the speed and reached the home by covering rest 1/2 of the distance at the speed of 30km per hour. The average speed of the John in the whole length of journey is?
Options:
A)18 km/hr
B)20 km/hr
C)24 km/hr
D)28 km/hr
E)32 km/hr
Rationale: Let distance between his home and hospital =
d
d km
Total distance travelled
=
d
+
d
=
2
d
=d+d=2d km
Total time taken
=
d
60
+
(
d
2
)
10
+
(
d
2
)
30
=d60+(d2)10+(d2)30
=
d
60
+
d
20
+
d
60
=
5
d
60
=
d
12
=d60+d20+d60=5d60=d12 hr
Average speed in the whole journey
=
2
d
(
d
12
)
=
2
d
×
12
d
=
24
=2d(d12)=2d×12d=24 km/hr
C
Answer: C
Question: In how many years will a sum of money doubles itself at 5% per annum on simple interest?
Options:
A)29%
B)20%
C)07%
D)50%
E)23%
Rationale: P = (P*5*R)/100
R = 20%
Answer:B
Answer: B
Question: 1,3,5,7,9,.50 find term of sequnce
Options:
A)1234
B)1367
C)1789
D)1568
E)2500
Rationale: This is an arithmetic progression, and we can write down
a=1a=1 ,d=2d=2 , n=50n=50 .
We now use the formula, so that
Sn=12n(2a+(n−1)l)Sn=12n(2a+(n−1)l)
S50=12×50×(2×1+(50−1)×2)S50=12×50×(2×1+(50−1)×2)
=25×(2+49×2)=25×(2+49×2)
=25×(2+98)=25×(2+98)
=2500=2500 .
E
Answer: E
Question: 1504 x 1504 = ?
Options:
A)2262016
B)2250000
C)12000
D)2262000
E)2250016
Rationale: 1504 x 1504	= (1504)2
= (1500 +4)2
= (1500)2 + (4)2 + (2 x 1500 x 4)
= 2250000 + 16 + 12000
= 2250016 +12000
= 2262016
A
Answer: A
Question: If the city centers of Tokyo and Madrid are 6683 miles apart, which of the following is closest to the distance between the city centers in inches? (There are 5,280 feet in a mile.)
Options:
A)7.5 × 10^6
B)1.8 × 10^7
C)4.2 × 10^8
D)3.5 × 10^9
E)2.7 × 10^10
Rationale: 6683 miles = 6683 x 5280 feet/mile x 12 inches/foot which is about 4.2 x 10^8 inches.
The answer is C.
Answer: C
Question: Consider a sequence of numbers given by the expression 5 + (n - 1) * 3, where n runs from 1 to 85. How many of these numbers are divisible by 7?
Options:
A)5
B)7
C)8
D)11
E)12
Rationale: since n is multiplied by 3 and the result has to be divisible by 7 we can only count multiples of 21.
the observed set starts with 5 and ends with 257.
since 5 and 257 are not divisible by 7 all numbers are ((257-5)/21)-1=11
ANSWER:D
Answer: D
Question: A man has Rs. 480 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)80
Rationale: By verifying options ,we can solve this problem.
Given that no. of denominations are equal i.e.,3(like one rupee,5 rupee and 10 rupee notes)
45/3=15 i.e 15*1+15*5+15*10 =240
...
..
90/3=30 i.e.,30*1+30*5+30*10 =480
answer is 90.
ANSWER:D
Answer: D
Question: If loss is 1/3 of S.P. the loss percentage is?
Options:
A)20%
B)30%
C)25%
D)40%
E)50%
Rationale: Let S.P. = $x
Then, loss = $x/3
C.P. = x+x/3 = 4x/3
Loss% = x/3 * 3/4x * 100 = 25%
Answer is C
Answer: C
Question: What least number should be subtracted from 2590 so that the remainder when divided by 9, 11, and 13 will leave in each case the same remainder 6 ?
Options:
A)2
B)3
C)6
D)10
E)11
Rationale: The LCM of 9, 11, and 13 is 1,287. The next multiple is 2*1,287 = 2,574.
2,574 + {remainder} = 2,574 + 6 = 2,580, which is 10 less than 2,590.
Answer: D.
Answer: D
Question: Fresh grapes contain 80% water by weight and raisins obtained by drying fresh grapes contain 25% water by weight. How many kgs of fresh grapes are needed to get 20kgs of raisins?
Options:
A)75 kgs
B)64kgs
C)72 kgs
D)65 kgs
E)70 kgs
Rationale: The weight of non-water in 20 kg of dried grapes (which is 100-25=75% of whole weight) will be the same as the weight of non-water in x kg of fresh grapes (which is 100-80=20% of whole weight), so 20*0.75 = x*0.2 --> x = 75.
Answer: A.
Answer: A
Question: What is the average (arithmetic mean) of all multiples of 10 from 10 to 300 inclusive?
Options:
A)155
B)195
C)200
D)205
E)210
Rationale: This question can be solved with the Average Formula and 'bunching.'
We're asked for the average of all of the multiples of 10 from 10 to 300, inclusive.
To start, we can figure out the total number of terms rather easily:
1(10) = 10
2(10) = 20
...
30(10) = 300
So we know that there are 30 total numbers.
We can now figure out the SUM of those numbers with 'bunching':
10 + 300 = 310
20 + 290 = 310
30 + 280 = 310
Etc.
Since there are 30 total terms, this pattern will create 15 'pairs' of 310.
Thus, since the average = (Sum of terms)/(Number of terms), we have...
(15)(310)/(30) =155
Answer : A
Answer: A
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 45
kmph, find the speed of the stream?
Options:
A)16 kmph
B)19 kmph
C)15 kmph
D)11 kmph
E)13 kmph
Rationale: The ratio of the times taken is 2:1.
The ratio of the speed of the boat in still water to the speed of the stream
= (2+1)/(2-1) = 3/1
= 3:1
Speed of the stream
= 45/3 = 15 kmph.
Answer: C
Answer: C
Question: Given that 0 < a < b < c < d, which of the following the largest ?
Options:
A)(c+d) / (a+b)
B)(c+d) / (a+j)
C)(c+d) / (k+b)
D)(c+d) / (g+b)
E)(c+d) / (a+s)
Rationale: Explanation: Take a = 1, b = 2, c = 3, d = 4. option A is clearly true.
Answer:A
Answer: A
Question: If u r genius solve it:-
70 * 17 = 11
60 * 16 = 15
50 * 15 = ?
Options:
A)2
B)12
C)6
D)8
E)10
Rationale: Logic:
70*17=1190=1+1+9+0=11
60*16=960=9+6+0=15
50*15=750=7+5+0=?
Answer : B
Answer: B
Question: How many five digit numbers can be formed using digits 0,1,2,3,4,5, Which are divisible by 15, whithout any of the digits repeating?
Options:
A)72
B)81
C)100
D)96
E)120
Rationale: 0,1,2,3,4,5
One digit will have to remain out for all 5 digit numbers;
if 0 is out; Leftover digits will be 1,2,3,4,5 = Sum(1,2,3,4,5)=15.
5! = 120 numbers
if 1 is out; Leftover digits will be 0,2,3,4,5 = Sum(0,2,3,4,5)=14. Ignore
if 3 is out; Leftover digits will be 0,1,2,4,5 = Sum(0,1,2,4,5)=12.Ignore
if 4 is out; Leftover digits will be 0,1,2,3,5 = Sum(0,1,2,3,5)=11. Ignore
if 5 is out; Leftover digits will be 0,1,2,3,4 = Sum(0,1,2,3,4)=10. Ignore
Total count of numbers divisible by 15 = 120
Ans:E
Answer: E
Question: The cost of packaging of the mangoes is 40% the cost of fresh mangoes themselves. The cost of mangoes increased by 30% but the cost of packaging decreased by 50%, then the percentage change of the cost of packed mangoes, if the cost of packed mangoes is equal to the sum of the cost of fresh mangoes and cost of packaging :
Options:
A)14.17%
B)7.14%
C)8.87%
D)6.66%
E)None
Rationale: Solution: Cost of fresh mangoes + Cost of packaging = Total cost.
Let initial Cost of fresh, mangoes = 100.
Then, packaging cost = 40.
Thus, Initial total cost = 100 + 40 = 140
After increasing in cost of fresh mangoes 30%,
Cost of fresh mangoes = 130
And cost of packing go down by 50 % so,
Cost of packing = 20.
Now Total cost = 130 + 20 = 150.
Increased cost = 150 - 140 = 10.
% increased = (10*100) /140 = 7.14%.
Answer: Option B
Answer: B
Question: (4300431)-?=2535618
Options:
A)1865113
B)1775123
C)1764813
D)1675123
E)None of them
Rationale: Let 4300431-x=2535618
then x=4300431-2535618
=1764813
Answer is C
Answer: C
Question: which no. need to add to 859622 to get a number exactly divisible by 456?
Options:
A)345652
B)547678
C)356789
D)778990
E)859622
Rationale: Dividend = Quotient * Divisor + Reminder
859622 / 456 gives quotient = 1885 and reminder = 62.
So, the next number divisible by 456 is 456 places infront of 456 * 1885
Which means 456 – 62 = 394 should be added to 859622.
E
Answer: E
Question: An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 11 o'clock in the morning?
Options:
A)180°
B)90°
C)160°
D)60°
E)120°
Rationale: The angle traced by the hour hand in 12 hours is 360°, which is 30° per hour.
In 3 hours, the angle traced by the hour hand is 3×30° = 90°
The answer is B.
Answer: B
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Options:
A)187 m
B)796 m
C)289 m
D)187 m
E)150 m
Rationale: Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 15 => y = x/15
x + 100 / 25 = x / 15
x = 150 m.
Answer:E
Answer: E
Question: How much time will take for an amount of Rs. 320 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Options:
A)5 5/8 years
B)6 5/8 years
C)7 5/8 years
D)12 5/8 years
E)15 5/8 years
Rationale: Time = (100 * 81) / (320 * 4.5) = 5 5/8years
ANSWER:A
Answer: A
Question: 1 men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work?
Options:
A)12/9 days
B)15/4 days
C)82/8 days
D)22/76 days
E)3/2 days
Rationale: 1M = 6W ---- 20 days
12M + 8W -----?
72W + 8 W = 80W ---?
6W ---- 20 80 -----?
6 * 20 = 80 * x => x = 3/2 days
Answer:E
Answer: E
Question: The students in a class are seated, according to their marks in the previous examination. Once, it so happens that four of the students got equal marks and therefore the same rank. To decide their seating arrangement, the teacher wants to write down all possible arrangements one in each of separate bits of paper in order to choose one of these by lots. How many bits of paper are required?
Options:
A)24
B)12
C)48
D)36
E)16
Rationale: We are given that four students got equal marks. On one bit of paper, one arrangement of rank is to be written. Let the students be named as P, Q, R and S.
Now, P can be treated as having rank I in 4 ways, Q can be treated as having rank II in 3 ways, R can be treated as having rank III in 2 ways, S can be treated as having rank IV in 1 way.
Therefore, the total number of bits of paper required for all arrangements = 4 × 3 × 2 × 1 = 24
ANSWER:A
Answer: A
Question: P works twice as fast as Q. If Q alone can complete a work in 12 days, P and Q can finish the work in --- days
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: Explanation :
Work done by Q in 1 day = 1/12
Work done by P in 1 day = 2 × (1/12) = 1/6
Work done by P and Q in 1 day = 1/12 + 1/6 = ¼
=> P and Q can finish the work in 4 days
Answer : Option D
Answer: D