divelab/Sys2Bench huggingface dataset:
Question: Danny drove his old car 100 kilometers, from his home to a friend. To prevent the engine from overheating, he stopped his car for 10 minutes every time he completed 40 kilometers of continuous driving. When the car was moving, Danny drove it at an average speed of 60 kilometers per hour. What was Danny's average speed on that trip?
Options:
A)37.5 kilometers per hour
B)48 kilometers per hour
C)50 kilometers per hour
D)75 kilometers per hour
E)100 kilometers per hour
Rationale: Time taken to reach first 40 km is 40/60 = 2/3 hr
Time taken to reach next 40 km is 40/60 = 2/3 hr
Time taken to reach next 20 km is 20/60 = 1/3 hr
Danny stopped twice on his way at 40 km from starting point and at 80km from the starting point...
Each stop was of 10 min , so two 10min break = 2*1/6 => 1/3 hr
Total time taken to reach 100 km is (2/3 + 2/3 + 1/3+1/3 ) = 6/3 => 2 hrs
So, Average speed is 100/2 = 50km/hour
Answer will be (C) 50
Answer: C
Question: The ratio of sodium chloride to ammonium in 100 kg of mixed ammonium normally used by three chemists is 2: 15. The amount of sodium chloride to be added to 100 kg of mixed ammonium to make the ratio 9 :25 is
Options:
A)20 kg
B)6.625 kg
C)6.25 kg
D)6.35 kg
E)6.55 kg
Rationale: sodium chloride in 100 kg = 2/17 x 100 = 11.76 kg
ammonium in 100 kg = 15/17 x 100 = 88.23 kg
Now 88.23 is 25 parts out of (25 + 9) = 34 parts.
Hence 9 parts = 9/25 x 88.23= 31.76
Amount to be added = 31.76 - 11.76 =20 Kg
ANSWER:A
Answer: A
Question: If c+5/d is a prime integer, which of the following must be true?
1.d=5c
2. d is a prime integer
3. c+5/d is ODD.
Options:
A)None
B)1 only
C)2 only
D)1 and 2 only
E)2 and 3 only.
Rationale: I would pick up numbers and do .
i hope the question is (c+5)/d....
let c = 3 , d = 4
3+5/4 = 2 = Prime
1. d is not equal to 5c
2.d is not a prime number
3. (c+5)/y is not odd.
hence A
Answer: A
Question: If 1400*xy=1050. Then what is the value of xy=?
Options:
A)1/5
B)2/5
C)3/4
D)3/7
E)4/7
Rationale: 1400 x xy = 1050 xy =	1050	=	3/4
1400
C
Answer: C
Question: Which of the following are divisible by both 2 and 3?
I. 234,124,429
II. 88,865,544,264
III. 5,555,554,673
Options:
A)I​I only
B)I and II​
C)II and III
D)II Only
E)I​ and III
Rationale: III & I. is not divisible by 2 since the last digit is odd so we eliminate option C and E, we are left with option A, B and D
Among option I and II lets check the divisibility of 3
II. is divisible by 3 since sum of the digits is 60 , which is divisible by 3
Thus among the given options only (A) holds true.
Answer: A
Answer: A
Question: How many words with or without meaning, can be formed by using all the letters of the word, â€˜COMPUTERâ€™, using each letter exactly once?
Options:
A)43232
B)40320
C)43332
D)89000
E)46780
Rationale: The word â€˜COMPUTERâ€™ contains 8 different letters.
Therefore, Required number of words= Number of arrangement of 8 letters, taken all at a time
=8P8
= 8!
= 8*7*6*5*4*3*2*1
= 40320
ANSWER:B
Answer: B
Question: A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 5 feet . How many feet does the squirrel travels if the post is 25 feet tall and 3 feet in circumference?
Options:
A)10 feet
B)12 feet
C)13 feet
D)15 feet
E)18 feet
Rationale: total circuit=25/5=5
total feet squirrel travels=5*3=15 feet
ANSWER:D
Answer: D
Question: 5 women can do a work in two days. 10 men can complete the same work in five days. What is the ratio between the capacity of a man and a woman?
Options:
A)1:2
B)1:5
C)2:3
D)3:2
E)None of these
Rationale: Explanation:
(5 Ã— 2) women can complete the work in 1 day.
âˆ´ 1 woman's 1 day's work = 1/10
(10 Ã— 5) men can complete the work in 1 day.
âˆ´ 1 man's 1 day's work = 1/50
so, required ratio =1/10 : 1/50= 1:5
Answer: B
Answer: B
Question: The average of 25 results is 45. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13th result?
Options:
A)740
B)750
C)690
D)780
E)708
Rationale: Solution: Sum of 1st 12 results = 12*14
Sum of last 12 results = 12*17
13th result = x (let)
Now,
12*14+12*17+x = 25*45
Or, x = 708.
Answer: Option E
Answer: E
Question: There are 16 students in a class. On the day the test was given, Bob was absent. The other 15 students took the test and their average was 77. The next day, Bob took the test, and with this grade included, the new average was 78. What was Bob's grade on the test?
Options:
A)92
B)93
C)94
D)95
E)96
Rationale: 15*77+Bob's grade=16*78
Alice's grade is 16*78-15*77=93.
The answer is B.
Answer: B
Question: Subtracting 6% of A from A is equivalent to multiplying A by how much ?
Options:
A)0.94
B)9.4
C)0.094
D)94
E)None
Rationale: Answer
Let A - 6% of A = AB.
⇒ (94 x A) / 100 = AB
∴ B = 0.94
Correct Option: A
Answer: A
Question: {3, 5, 8, x}
For the above mentioned Set, Mean of the set is equal to Range of the set then find out possible values of x
Options:
A)16/5, 28/3
B)4, 16/5
C)4, 16/5, 28/3
D)4, 28/3
E)3, 4, 5
Rationale: The set can have the following forms:
1. {3,5,8,x} , range = x-3 and mean = 4+x/4, x = 28/3
2. {3,5,x,8} , range = 5 and mean = 4+x/4, x=4
3. {3,x,5,8} , range = 5 and mean = 4+x/4, x=4
4. {x,3,5,8} , range = 8-x and mean = 4+x/4, x=16/5. But as x<3 (assumed here), x=3.2 can not be true. Hence reject this case.
Thus the possible values are 4 and 28/3.
D is the correct answer.
Answer: D
Question: How many cubes will remain if the cubes having black and green coloured are removed ?
Options:
A)16
B)15
C)8
D)12
E)10
Rationale: Number of small cubes which are Black and Green is 8 in all.
Hence, the number of remaining cubes are = 24 - 8 = 16
ANSWER A
Answer: A
Question: The sum of all solutions for x in the equation x^2 – 4x + 14 = |x – 4|+ 8 is equal to:
Options:
A)–7
B)8
C)10
D)12
E)14
Rationale: x^2 - 4x + 6 = |x-4|
RHS can be -ve or +ve
x^2 - 5x + 10 = 0
x^2 - 3x + 2 = 0
x= 5,2,1
We test all 3 values in original equation, all ok.
Thus, Sum = 5 + 2 +1 = 8
Ans (B)
Answer: B
Question: Two cyclist start from the same places in opposite directions. One is going towards north at 18kmph and the other is going towards south 20kmph. What time will they take to be 47.5km apart?
Options:
A)1 1/4 hours
B)2 1/3 hours
C)4hours
D)3 3/4 hours
E)6hours
Rationale: To be (18+20) km apart, they take 1 hour
To be 47.5 km apart, they take 1/38 * 47.5 = 1 1/4 hrs
Answer is A
Answer: A
Question: A certain car's price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $1,500. If the price of the car in 1996 was $22,000, what is the car's price in 2002?
Options:
A)$18,400
B)$19,500
C)$20,200
D)$20,400
E)$21,100
Rationale: Important point to notice- 2.5% decrease from the original price
2.5% of 22,000= 550
Total reduction in 6 years= 550*6= 3300
Final price= 22,000 +1500 - 3300= 20,200
C is the answer
Answer: C
Question: An express traveled at an average speed of 100 km/hr, stopping for 3 min after every 75 kn. How long did it take to reach its destination 600 km from the starting point?
Options:
A)6 hrs 21 minute
B)6 hrs 71 min
C)6 hrs 28 min
D)6 hrs 21 min
E)2 hrs 21 min
Rationale: Time taken to cover 600 km = 600/100 = 6 hrs.
Number of stoppages = 600/75 - 1 = 7
Total time of stoppages = 3 * 7 = 21 min
Hence, total time taken = 6 hrs 21 min.
Answer: A
Answer: A
Question: A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have ?
Options:
A)22
B)23
C)25
D)35
E)36
Rationale: Explanation:
Clearly, we have :
B-3 = E ...(i)
B + 3 = D ...(ii)
A+B = D + E+10 ...(iii)
B = C + 2 ...(iv)
A+B + C + D + E= 133 ...(v)
From (i) and (ii), we have : 2 B = D + E ...(vi)
From (iii) and (vi), we have : A = B + 10 ...(vii)
Using (iv), (vi) and (vii) in (v), we get:
(B + 10) + B + (B - 2) + 2B = 133 5B = 125 B = 25.
Answer: C
Answer: C
Question: (X)+9088+1090-9156=19845. Calculate the value of X
Options:
A)11123
B)18153
C)11282
D)18825
E)18823
Rationale: (X)+9088+1090-9156=19845
=X+9088+1090=19845+9156
=x+10178=29001
=x=29001-10178
=18823
Answer is E
Answer: E
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Options:
A)388
B)240
C)88
D)66
E)221
Rationale: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 20)m = 300 m. Let the length of the platform be x meters. Then, (x + 300)/36 = 15 ==> x + 300 = 540 ==> x = 240 m.Answer:B
Answer: B
Question: Machine P and Machine Q are each used to manufacture 660 sprockets. It takes Machine P 10 hours longer to produce 660 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?
Options:
A)5
B)15
C)55
D)95
E)6
Rationale: P makes x sprockets per hour.
Then Q makes 1.1x sprockets per hour.
660/x = 660/1.1x + 10
1.1(660) = 660 + 11x
11x = 66
x = 6
The answer is E.
Answer: E
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took 8/3 hours to fill the tank. The leak can drain all the water of the tank in?
Options:
A)6 hours
B)8 hours
C)9 hours
D)10 hours
E)12 hours
Rationale: The pump can fill the tank in 2 hour. But, because of the leak, it took 8/3 hours to fill the tank.
i.e., the additional water filled by the pump in 2/3 hour is emptied by the leak in 8/3 hours.
Therefore, the water filled by pump in 2 bour can be emptied by the leak in (8/3)*3=8 hours.
i.e., The leak can drain all the water of the tank in 8 hours.
ANSWER:B
Answer: B
Question: What digit appears in the units place in the number obtained when 2^320 is multiplied out?
Options:
A)0
B)2
C)4
D)6
E)8
Rationale: 2^320=2^4K
put k=1
last digit of 2^4=16
last digit6
Answer=> D) 6
Answer: D
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Options:
A)33
B)88
C)66
D)12
E)99
Rationale: Speed of the boat downstream = 15 + 3 = 18 kmph
= 18 * 5/18 = 5 m/s
Hence time taken to cover 60 m = 60/5 = 12 seconds.
Answer: D
Answer: D
Question: How many of the following numbers are divisible by 16 ?
264, 396, 462, 792, 968, 2178, 5184, 6336
Options:
A)2
B)4
C)5
D)6
E)7
Rationale: By using your calculator you can calculate that the following numbers are divisible by 16 : 5184, 6336
Required number of number = 2.
A
Answer: A
Question: Two pipes A and B can separately fill a cistern in 60 minutes and 120 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 60 minutes. In how much time, the third pipe alone can empty the cistern?
Options:
A)90 min
B)100 min
C)110 min
D)120 min
E)130 min
Rationale: 1/60-(1/60+1/120)=-1/120
third pipe can empty in 120 minutes
ANSWER:D
Answer: D
Question: A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . How many feet does the squirrel travels if the post is 16 feet tall and 3 feet in circumference?
Options:
A)10 feet
B)12 feet
C)13 feet
D)15 feet
E)18 feet
Rationale: total circuit=16/4=4
total feet squirrel travels=4*3=12 feet
ANSWER:B
Answer: B
Question: 51 = 4a + 3b
5 > |–a|
If a and b are both integers, What is the highest values of ‘a’ that can be used to solve the above equation.
Options:
A)1
B)2
C)3
D)-3
E)0
Rationale: Let us understand the meaning of 5 > |-a|
1) when we write |-x| this means the same as |x|.
2) Mod is very easy concept if you solve mod question by considering as a distance. when a mod is written as |x-(a)| = b, this means the distance from point 'a' (both side left and right of 'a' on number line) is b. |x-(a)| < b means the distance is between the two extreme distance(left and right side of 'a' on number line, considering the max distance is 'b' from 'a' - as per this scenario.....hence the value of 'a' must be between these two extremes. |x-(a)| > b means the distance is greater than the distance of 'b'..i.e the value of a could be anywhere more than 'b'.
Now come to the question. First its given|-a| < 5 ==> |a| < 5 ===> |a-0| < 5 ==> the distance from zero is less than 5. So the point will be -4,-3,-2,-1,0,1,2,3,4 as distance from 0 to these values is less than 5.
Now, lets move to equation 4a + 3b = 51 ==> b = 17 – (4 *(a/3)). According to question, b is an integer, hence to make b integer a must be divisible by 3. Now remove the value which can’t make a divisible by 3 from the possible values of a. It will remain with -3 and 3. Out of these two values 3 is higher and it which makes the value of b = (17 - (4 * (3/3)) = 17 - 4 ==> b = 13 (an integer). Hence the Answer is C (value 3).
Answer: C
Question: Can you find the smallest non fractional number such that
If the number gets divided by 4 , we get the remainder of 1;
If the number gets divided by 5 , we get the remainder of 2
If the number gets divided by 6 , we get the remainder of 3;
If the number gets divided by 7, we get the remainder of 4.
Options:
A)550
B)418
C)581
D)443
E)720
Rationale: B.
418
As we know LCM of the numbers 4,5,6 & 7 is 420.
So if i divide 420 by any of the four number , it gives remainder as 0.
Now to get reminder as desired, is should be 2 short of 418. (3-1,4-2,5-3,6-4 )
ANS:option B
Answer: B
Question: Nathan,Fred, Alan, Becky and Allison are each
holding one of the following 4 cards. Nathan
and Alan both have Spades. Becky and Alan
both have the same number. Which one has the
9 of hearts?
Options:
A)Nathan
B)Fred
C)Alan
D)Becky
E)Allison
Rationale: The clue “Becky has the same number card as Alan” tells us that Alan has a ‘7’
card.
The clue ‘Nathan and Alan both have spades’ leads us to the fact that Alan has a 7
of spades.
Thus the remaining spade card, ’10 of spades’, belongs to Nathan and the
remaining ‘7’: ‘7 of diamonds’, belongs to Becky. That leaves ‘9 of hearts’ to
Allison.
correct answer E
Answer: E
Question: A cistern is filled by a tap in 7 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how many hours will it take the leak to empty it?
Options:
A)80
B)100
C)120
D)140
E)160
Rationale: filling rate - leak rate = net rate
1/7.5 - leak rate = 1/8
leak rate = 2/15 - 1/8 = 1/120
The answer is C.
Answer: C
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
Options:
A)1500
B)1800
C)2100
D)1950
E)2200
Rationale: P = 15(100/10)2 => P = 1500
ANSWER:A
Answer: A
Question: In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?
Options:
A)4256
B)5336
C)6000
D)3000
E)4000
Rationale: In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?
A.	4236
B.	4306
C.	4336
D.	5336
E.	None of these
Answer: Option D
Explanation:
Divisor = (5 x 46) = 230
10 x Quotient = 230 =	230	= 23
10
Dividend = (Divisor x Quotient) + Remainder
= (230 x 23) + 46
= 5290 + 46
= 5336.
ANSWER B
Answer: B
Question: Five friends Adi, Brian, Close, Derek and Eli appeared in two aptitude tests. In the first aptitude test, Derek score 50% less than the average score of the five people. In the second aptitude test, Derek score 50% more than what he scored on the first aptitude test. If the score of his friend in the second aptitude test were same as their score in the first test, by approximately what percentage was Derek's score less than the average score of the 5 people in the second aptitude?
Options:
A)25%
B)28%
C)33%
D)40%
E)50%
Rationale: Average score in first test be X
So derby score = 0.5X (first test)
Derby score =1.5(0.5X) ( second test) =.75X
So less than X by .25
Answer A 25%
Answer: A
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)16 km/hr
B)50 km/hr
C)15 km/hr
D)17 km/hr
E)18 km/hr
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: Change the below lagarithm log255 = 1/2 to exponential form
Options:
A)5
B)8
C)7
D)10
E)11
Rationale: Solution:
log255 = 251/2 = 5
ANSWER IS A
Answer: A
Question: A train covers a distance of 12 km in 10 min. If it takes 5 sec to pass a telegraph post, then the length of the train is?
Options:
A)298 m
B)188 m
C)120 m
D)160 m
E)189 m
Rationale: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec
= 20 m/sec.
Length of the train = 20 * 8
= 160 m.
Answer:D
Answer: D
Question: In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
Options:
A)237788
B)27667
C)11760
D)29877
E)27781
Rationale: Required number of ways =
Answer: C) 11760
Answer: C
Question: what is the compound interest on rs:40,000 for 4 months at the rate of 5% per annum
Options:
A)670.85
B)671.85
C)672.85
D)673.85
E)674.85
Rationale: it is monthly compound
rate=5/12% per month
40000*(1+5/1200)^4-40000=670.85
ANSWER:A
Answer: A
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 9 years and that for 6 years?
Options:
A)1 : 3
B)2 : 3
C)1 : 2
D)3 : 2
E)1 : 4
Rationale: Let the principal be P and rate of interest be R%.
Required ratio =
(P x R x 9)/100 DIVIDED BY	(P x R x 6)/100
=	9PR/6PR	=	9/6	= 3 : 2.
ANSWER : D
Answer: D
Question: If three machines working at the same rate can do 3/4 of a job in 30 minutes, how many minutes would it take two machines working at the same rate to do 3/5 of the job?
Options:
A)36
B)60
C)75
D)80
E)100
Rationale: using the std formula
m1d1h1/w1=m2d2h2/w2
substituting the values we have
3*1/2*4/3=2*5/3*x (converted 30 min into hours =1/2)
2=10/3*x
x=3/5 hour
so 36 minutes
ANSWER:A
Answer: A
Question: The number of circles that can be drawn out of 10 points of which 7 are collinear is
Options:
A)130
B)85
C)45
D)Cannot be determined
E)None of these
Rationale: Solution
For drawing a circle we need 3 non collinear points.This can be done in:
3C3 + 3C2 × 7C1 + 3C1 × 7C2 = 1 + 21 + 63 = 85. Answer B
Answer: B
Question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
Options:
A)17 1/7 days
B)17 1/8 days
C)17 1/9 days
D)17 7/7 days
E)18 1/7 days
Rationale: 1/30 + 1/40 = 7/120
120/7
= 17 1/7 days
Answer: A
Answer: A
Question: The average of a non-zero number and its square is 5 times the number. The number is:
Options:
A)5
B)6
C)7
D)8
E)9
Rationale: (x+x^2)/2=5x
x^2=9x
x=9
ANSWER:E
Answer: E
Question: Pipes A and B can fill a cistern in 9 and 72 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
Options:
A)13
B)12
C)16
D)18
E)19
Rationale: :
1/9 + 1/72 = 1/8
8 * 2 = 16.Answer:C
Answer: C
Question: Look at this series: 7, 10, 8, 11, 9, 12, 10, ... What number should come next?
Options:
A)7
B)10
C)12
D)13
E)14
Rationale: This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.
The answer is D.
Answer: D
Question: If a and b are the two values of t that satisfy
the equation t^2 â€“ 14t + 24 = 0, with a > b, what is the value of a â€“ b?
Options:
A)2
B)4
C)6
D)8
E)10
Rationale: Factor the left side of the equation:
t^2 â€“ 14t + 24 = 0
(t â€“ 2)(t â€“ 12) = 0
t = 2, t = 12
Thus, a = 12 and b = 2. So a â€“ b = 12 â€“ 2 = 10.
The answer is E.
Answer: E
Question: At a conference table, 9 employees gather around a table. One of the employees is the manager and he sits at the head of the table. Two of the employees sit on either side of the table. How many different seating arrangements can be made with these 9 employees?
Options:
A)41000
B)41320
C)42320
D)40320
E)43320
Rationale: Head's sit is fixed. Now 8 people is left with 8 seats.
8 people can sit on 8 seats in 8! ways or 40320 ways.
Ans is D
Answer: D
Question: Line m lies in the xy-plane. The y-intercept of line m is -2, and line m passes through the midpoint of the line segment whose endpoints are (2, 4) and (6, -6). What is the slope of line m ?
Options:
A)-3
B)-1
C)-1/3
D)0
E)Undefined
Rationale: Ans:B
Solution: line m goes through midpoint of (2, 4) and (6, -8). midpoint is (4,-1)
as we can see that the y axis of intercept point is (0,-2) means line m is parallel to x axis
slope M= -1
Ans: B
Answer: B
Question: The sale price of a trolley bag including the sale tax is Rs. 420. The rate of sale tax is 12% . If the shopkeeper has made a profit of 25%, the cost price of the trolley bag is:
Options:
A)Rs 625
B)Rs 300
C)Rs 350
D)Rs 375
E)None of these
Rationale: Explanation :
112% of S.P. = 420
S.P. = Rs.(420x 100/112) = Rs.375.
C.P. = Rs (100/125x 375) = Rs 300
Answer : B
Answer: B
Question: Out of 7 constants and 4 vowels how many words of 3 consonants and 2 vowels can be formed?
Options:
A)25200
B)32500
C)45100
D)15460
E)36400
Rationale: Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4)
= 7C3 * 4C2
= 210
Number of groups each having 3 consonants and 2 vowels = 210
Each group contains 5 letters
Number of ways of arranging 5 letters among themselves
= 5! = (5 * 4 * 3 * 2 * 1)
= 210
Required number of words = (210 * 210)
= 25200
Ans: A
Answer: A
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
Options:
A)157.58
B)157.56
C)157.5
D)157.52
E)157.54
Rationale: (3500*1.5*3)/100 => 157.50
Answer:C
Answer: C
Question: If 20% of a number is equal to three-fifth of another number, what is the ratio of first number to the second number?
Options:
A)3:1
B)2:1
C)1:3
D)1:2
E)2:3
Rationale: Let 20% of A = 3/5 B. Then,
20A/100 = 3B/5 => 1A/5 = 3B/5
A/B = (3/5 * 5/1) = 3/1
A:B = 3:1.
Answer: A
Answer: A
Question: A basket has 6 apples and 6 oranges. Three fruits are picked at random. What is the probability that at least 2 apples are picked?
Options:
A)1/2
B)1/3
C)1/4
D)2/5
E)3/10
Rationale: The total possible choices are 12C3 = 220
The ways to choose 3 apples: 6C3 = 20
The ways to choose 2 apples: 6C2 * 6C1 = 90
P(at least 2 apples) = 110/220 = 1/2
The answer is A.
Answer: A
Question: By purchasing an article at 20 % discount on the original price and then selling it at a price of 25% above the original price, a trader earns Rs. 200 as the profit. What was the original price of the article?
Options:
A)Rs. 444.44
B)Rs. 255.50
C)Rs. 100.10
D)Rs. 810
E)None of these
Rationale: Explanation:
Let the original price of the article be Rs. 100. Hence the purchase price for the trader would be Rs. 80 and his selling price would be Rs. 125. Thus, he would earn a profit of Rs. 45 (125 – 80). Therefore,
Profit is Rs. 45 if the original price is Rs. 100
Hence, if profit is Rs. 200, then original price will be..
= 100x 200/45
= Rs. 444.44
ANSWER A
Answer: A
Question: A library has an average of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
Options:
A)288
B)278
C)267
D)285
E)231
Rationale: Since the month begins with a Sunday, so there will be five Sundays in the month.
Required average = [(510 * 5) + (240 * 25)]/30
= 8550/30
= 285.
Answer: D
Answer: D
Question: Select the non termination decimal among the following.
Options:
A)11/3
B)3/4
C)4/5
D)7/8
E)9/10
Rationale: A. Non terminating decimal means that 11/3 = 3.66666 and so on.
Answer: A
Question: How many paying stones, each measuring 3 * 2 m are required to pave a rectangular court yard 15 m long and 6 m board?
Options:
A)99
B)18
C)26
D)15
E)12
Rationale: 15 * 6 = 3 * 2 * x => x
= 15
Answer: D
Answer: D