divelab/Sys2Bench huggingface dataset:
Question: Fill in the missing number:
18 14 ? 11 10.5 10.25
Options:
A)10.1
B)12
C)10.2
D)10.5
E)10.3
Rationale: 12
Divide each number by 2 and then add 5 to it.
ANSWER B
Answer: B
Question: P, Q and R can do a piece of work in 20, 30 and 60 days respectively. In how many days can P do the work if he is assisted by Q and R on every third day?
Options:
A)15 DAYS
B)12 DAYS
C)10 DAYS
D)18 DAYS
E)20 DAYS
Rationale: P's 2 day's work =	1/20*2=1/10
P+Q+R)'S 1 DAY'S WORK = 1/20+1/30+1/60 = 6/60 = 1/10
WORK IN DAYS = 1/5
NOW 1/5 DONE IN 3 DAYS
WHOLE WORK WILL BE DONE IN(3*5) = 15 DAYS
ANSWER A
Answer: A
Question: The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 30. Which of the following integers is the higher of the remaining two integers?
Options:
A)32
B)86
C)44
D)22
E)87
Rationale: Let the four integers be A, B, C and D where A > B > C > D.
(A + B + C + D)/4 = 69 => A + B + C + D = 276 ---> (1)
A = 93, D = 39 and B - C = 30
(1) => B + C = 276 - (A + D) = 276 - 132 = 144.
B + B -30 = 144
B = (144 + 30)/2 = 87
Answer:Option E
Answer: E
Question: A train 300 m long passed a pole in 14 sec. How long will it take to pass a platform 540 m long?
Options:
A)12 sec
B)59 sec
C)40 sec
D)45 sec
E)46 sec
Rationale: Speed = 300/14
= 21 m/sec.
Required time = (300 + 540)/21
= 40 sec.
Answer: C
Answer: C
Question: Which is greater than 99?
Options:
A)9
B)99
C)9.9
D)999
E)909
Rationale: 999 greater than 99.
Answer: D
Answer: D
Question: The least common multiple of positive integer q and 3-digit integer n is 690. If n is not divisible by 3 and q is not divisible by 2, what is the value of n?
Options:
A)115
B)230
C)460
D)575
E)690
Rationale: The LCM of n and q is 690 = 2*3*5*23.
q is not divisible by 2, thus 2 goes to n
n is not divisible by 3, thus 3 goes to q.
From above:
n must be divisible by 2 and not divisible by 3: n = 2*... In order n to be a 3-digit number it must take all other primes too: n = 2*5*23 = 230.
Answer: B.
Answer: B
Question: Find the value of 72516 x 9999 = m?
Options:
A)345434667
B)246465757
C)465767867
D)725087484
E)645354643
Rationale: 72516 x 9999 = 72516 x (10000 - 1)
= 72516 x 10000 - 72516 x 1
= 725160000 - 72516
= 725087484
D
Answer: D
Question: A rectangular rug with side lengths of 4 feet and 6 feet is placed on a square floor that has an area of 64 square feet. If the surface of the rug does not extend beyond the area of the floor, what fraction of the area of the floor is not covered by the rug?
Options:
A)A.3/16
B)1/4
C)C.1/2
D)5/8
E)7/8
Rationale: Area of the rectangular rug = 4*6 = 24
Fraction not covered by the rug = (Total Area - Rug area) / Total Area
= (64 - 24)/64
= 5/8=D
Answer: D
Question: There are 10 reading spots in a room. Each reading spot has a round table. Each round table has 4 chair. If different no of persons are sitting at each reading spot. And if there are 10 persons inside the room then how many reading spots donot have atleast a single reader.
Options:
A)5
B)6
C)8
D)9
E)7
Rationale: 10 reading spots and 4 chairs each
total 10 persons
different no. of seating must
so
1st-1person
2nd-2person
3rd-3person
4th-4person
by above way 10 peoples are seated
so empty chairs = 10chairs - 4chairs = ans: 6chairs
ANSWER:B
Answer: B
Question: A fruit seller sells 8 oranges at a cost price of 9. The profit percent is
Options:
A)12 1⁄2
B)11 1⁄9
C)5 15⁄17
D)8 2⁄3
E)None of these
Rationale: Let C.P. of one orange = 1
Then C.P. of 8 oranges = 8
S.P of 8 oranges = 9
∴ Gain % = 9−8/8×100=100/8=12 1/2%
Answer A
Answer: A
Question: The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. Find out the teacher's age in years?
Options:
A)50
B)49
C)53
D)54
E)51
Rationale: average age of 36 students in a group is 14
Sum of the ages of 36 students = 36 × 14
When teacher's age is included to it, the average increases by one
=> average = 15
Sum of the ages of 36 students and the teacher = 37 × 15
Hence teachers age
= 37 × 15 - 36 × 14
= 37 × 15 - 14(37 - 1)
= 37 × 15 - 37 × 14 + 14
= 37(15 - 14) + 14
= 37 + 14
= 51
Answer is E.
Answer: E
Question: By selling an article at Rs.300, a profit of 25% is made. Find its cost price?
Options:
A)s.486
B)s.455
C)s.240
D)s.480
E)s.489
Rationale: SP = 300
CP = (SP)*[100/(100+P)]
= 300* [100/(100+25)]
= 300* [100/125]
= Rs.240
Answer: C
Answer: C
Question: A and B start a business with Rs.5000 and Rs.15000 respectively. How should they share their profits at the end of one year?
Options:
A)1:3
B)3:4
C)2:5
D)3:7
E)2:1
Rationale: They should share the profits in the ratio of their investments.
The ratio of the investments made by A and B =
5000 : 15000 => 1:3
ANSWER:A
Answer: A
Question: P , Q, R enter into a partnership & their share are in the ratio 1/2 : 1/3 : 1/4 , after two months , P withdraws half of the capitals & after 10 months , a profit of Rs 378 is divided among them . What is P's share?
Options:
A)114
B)126
C)134
D)144
E)None of these
Rationale: Explanation :
The ratio of their initial investment = 1/2 : 1/3 : 1/4
= 6 : 4: 3
Let's take the initial investment of P, Q and R as 6x, 4x and 3x respectively
A:B:C = (6x * 2 + 3x * 10) : 4x*12 : 3x*12
= (12+30) : 4*12 : 3*12
=(4+10) : 4*4 : 12
= 14 : 16 : 12
= 7 : 8 : 6
P's share = 378 * (7/21) = 126. Answer : Option B
Answer: B
Question: Out of the total production of iron from hematite, an ore of Iron, 20% of the ore gets wasted, and out of the remaining iron, only 25% is pure iron. If the pure iron obtained in a year from a mine of hematite was 80,000 kg, then the quantity of hematite mined from that mine in the year is
Options:
A)5,00,000 kg
B)4,00,000 kg
C)4,50,000 kg
D)None of these
E)Cannot be determined
Rationale: Solution: Let 100 kg of hematite be obtained then 20% of it get wasted that means 80 kg of ore remains.
Pure iron = 25% of remaining ore = 80*25/100 = 20 kg.
20 kg pure Iron is obtained from 100 of hematite.
1 kg pure Iron is obtained from = 100/20 hematite;
Then, 80000 kg pure Iron is obtained from = (100/20)*80000 = 400000 kg hematite.
Answer: Option B
Answer: B
Question: 3 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2candidates. In how many ways can one cast his vote?
Options:
A)11
B)12
C)15
D)16
E)17
Rationale: There are 6 candidates and a voter has to vote for any two of them.
So, the required number of ways is,
= 6C2 = 6!/2!*4!
= 15.
C
Answer: C
Question: If the largest three digit number is subtracted from the smallest five digit number, then the remainder is
Options:
A)9000
B)9001
C)90001
D)9009
E)NOne
Rationale: Sol.
Required number = (10000 - 999) = 9001.
Answer B
Answer: B
Question: The average weight of a group of boys is 30 kg. After a boy of weight 39 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Options:
A)4
B)8
C)5
D)2
E)9
Rationale: Let the number off boys in the group originally be x.
Total weight of the boys = 30x
After the boy weighing 39 kg joins the group, total weight of boys = 30x + 39
So 30x + 39 + 31(x + 1) = > x = 8.
Answer: B
Answer: B
Question: P is a prime number. If 6p is between 15 and 95, which of the following T can be a value of 7p + 2?
Options:
A)T=15
B)T=79
C)121
D)65
E)21
Rationale: [3,5,7,11,13] are prime numbers that fits this equation 15< 6X <95. Afterwards subtract 2 from all the answer n see if it's divisible by 7. Therefore A and E are out. Leaves out with B C D.
B =11
C =17
D = 9
Only 11 is the set of prime numbers that fit between 15 and 95. Therefore 79 is the answer.B
Answer: B
Question: The average (arithmetic mean) of four numbers is 5x + 6. If one of the numbers is 2x, what is the average of the other three numbers?
Options:
A)x + 1
B)3x + 3
C)5x + 1
D)5x + 4
E)6x + 8
Rationale: The sum of all four numbers is 4 * (5x + 6) = 20x + 24.
If one of the numbers is 2x, the sum of the other 3 numbers is 18x+24.
The average of the remaining three numbers is (18x+24)/3 = 6x+8.
The answer is E.
Answer: E
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his averages by 3.Find his average after 17th inning?
Options:
A)19
B)29
C)39
D)49
E)59
Rationale: let the average after 17th inning =x
Then average after 16th inning=(x-3)
Therefore 16(x-3)+87=17x
Therefore x=39
ANSWER:C
Answer: C
Question: Pat's watch gains an extra 10 seconds every 2 hours. Kim's watch loses 6 seconds every 3 hours. If both watches are set to correct time at 8 o'clock in the morning and run without interruption, after 48 hours, what will be the difference in time between Pat's watch and Kim's watch?
Options:
A) 3 min 36 sec
B) 4 min 36 sec
C) 5 min 36 sec
D) 6 min 36 sec
E) 5 min 36 sec
Rationale: In 48 hours Pat's watch will gain an extra 48/2*10 = 240 seconds.
In 48 hours Kim's watch will lose 48/3*6 = 96 seconds.
Hence the difference will be 240 + 96 = 336 seconds.
Answer: E.
Answer: E
Question: A runs 25% faster than B and is able to allow B a lead of 7 meters to end a race in dead heat. What is the length of the race?
Options:
A)10 meters
B)25 meters
C)45 meters
D)15 meters
E)35 meters
Rationale: Answer
A runs 25% as fast as B.
i.e., if B runs 100 m in a given time, A will run 125 m in the same time.
In other words, if A runs 5 m in a given time, then B will run 4 m in the same time.
Therefore, if the length of a race is 5 m, then A can give B a start of 1 m (A can allow B to start 1 ahead of the starting point) so that they finish the race in a dead heat.
Ratio of length of start given : length of race :: 1 : 5
In this question, we know that the start given is 7 m.
Hence, the length of the race will be 7 * 5 = 35 m.
Choice E
Answer: E
Question: Nine men went to a hotel. 8 of them spent 3 each over their meals and the ninth spent 2 more than the average expenditure of all the nine. The total money spent by all of them was
Options:
A)26
B)40
C)29.25
D)27
E)None of the above
Rationale: Let the average expenditure of all the ninte be x
Then, 3 × 8 + x + 2 = 9x
⇒ x = 3.25
∴ Total money spent = 9x = 9 × 3.25 = 29.25
Answer C
Answer: C
Question: If x^2 + 1/x^2 = √20 what is the value of x^4 + 1/x^4 ?
Options:
A)10
B)12
C)14
D)16
E)18
Rationale: IMPORTANT: I notice that if we SQUARE x², we get x⁴, and if we SQUARE 1/x², we get 1/x⁴, so let's see what happens if we take the equation x² + 1/x² = √20 andSQUAREboth sides:
(x² + 1/x²)²= 20
So, (x² + 1/x²)(x² + 1/x²) = 20
Expand to get: x⁴ + 1 + 1 + 1/x⁴ = 20
Simplify: x⁴ + 1/x⁴ = 18
Answer: E
Answer: E
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Options:
A)2.86
B)2.88
C)2.89
D)2.834
E)2.81
Rationale: M = 6
S = 1.2
DS = 6 + 1.2 = 7.2
US = 6 - 1.2 = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
Answer: B
Answer: B
Question: The population of a town is 45000; 5/9th of them are males and the rest females 40% of the males are married. What is the percentage of married females?
Options:
A)56%
B)50%
C)57%
D)10%
E)80%
Rationale: Male = 45,000* 5/9 = 25,000
Female = 45,000* 4/9 = 20,000
Married Male = 25,000* 40/100 = 10,000
Married Female = 10,000
20,000 ------------ 10,000
100 ------------- ? => 50%
Answer: B
Answer: B
Question: Halle, Julia and Drew have 5 donuts to share. If one of them can be given any whole number of donuts from 0 to 5, in how many different ways can the donuts be distributed.
Options:
A)20
B)21
C)22
D)23
E)24
Rationale: these are the no of ways:
0 2 3 - 3! ways
2 2 1 - 3!/2 ways
5 0 0 - 3!/2 ways
4 1 0 - 3! ways
1 1 3 - 3!/2 ways
So total no of ways = 21
ANS:B
Answer: B
Question: If 21 WOMen and 12 men can finish the work in 42 days.How many men should accompany 42 women to that the work will be completed in ten and half days???
Options:
A)40
B)45
C)50
D)60
E)15
Rationale: 15 men using chain rule
ANSWER:E
Answer: E
Question: In expressing a length 810472 km as nearly as possible with three significant digits, find the percentage error.
Options:
A)0.034
B)0.024
C)0.352
D)0.063
E)0.026
Rationale: Error = (81.5 – 81.472)km = 0.028.
Required percentage = [(0.028/81.472)*100]% = 0.034%.
Answer A.
Answer: A
Question: If there are eight varieties of ice cream to be tasted and judged in a competition, what is the probability that black currant is tasted before Vanilla and Vanilla is tasted before chocolate, although not necessarily consecutively?
Options:
A)1/8!
B)3!/8!
C)5!/8!
D)1/3!
E)1/2!
Rationale: 8 flavors are too much. Lets try out only 3 flavors --> Black Currant, Vanilla, Chocalate
We can get Black Currant before Vanilla and Vanilla before Chocolate in only 1 way.
Probability = Possible/Total = 1/3!
Now lets consider 4 flavors --> BC, Van, Choc and X
Possibilities --> 1) BC, X, Van, Choc
2) X, BC, Van, Choc
3) BC, Van, Choc, X
4) BC, Van, X, Choc
Probability = 4/24 = 1/3!
Since the probability remains the same for both the cases, the probability will mostly remain true for the 8 varieties too.
Answer: D
Answer: D
Question: A picnic attracts 200 persons. There are 20 more men than women, and 20 more adults than children. How many men are at this picnic?
Options:
A)240
B)65
C)110
D)130
E)200
Rationale: Adult + Children = 200
Let, Children = y
then, Adult = y+20
i.e. y+(y+20) = 200
i.e. y = 900
i.e. Adult = 90+20 = 110
Adults include only Men and Women
i.e. Men + Women = 110
Let women, W = x
then Men, M = x+20
i.e. x+(x+20) = 2x+20 = 110
i.e. x = 45
i.e. Men, M = 45+20 = 65
Answer: Option B
Answer: B
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 6 m wide at the top and 4 m wide at the bottom and the area of cross-section is 10290 sq m, the depth of cannel is?
Options:
A)258
B)260
C)262
D)264
E)266
Rationale: 1/2 * d (6+4)
= 10290
d = 258
Answer: A
Answer: A
Question: How many four-digit numbers that do not contain the digits 2, 3, 4, or 6 are there?
Options:
A)1025
B)1080
C)2096
D)3040
E)4200
Rationale: The 1st digit can be filled up by the numbers: {1,5,7,8,9} = 5 ways
The 2nd digit can be filled up by the numbers: {0,1,5,7,8,9} = 6 ways
The 3rd digit can be filled up by the numbers: {0,1,5,7,8,9} = 6 ways
The 4th digit can be filled up by the numbers: {0,1,5,7,8,9} = 6 ways
The total number of such four-digit numbers is 6*7*7*7 = 1080
The answer is B.
Answer: B
Question: The owner of a furniture shop charges his customer 10% more than the cost price. If a customer paid Rs. 8800 for a computer table, then what was the cost price of the computer table?
Options:
A)2299
B)2699
C)2670
D)6725
E)8000
Rationale: CP = SP * (100/(100 + profit%))
= 8800(100/110) = Rs. 8000
Answer:E
Answer: E
Question: John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
Options:
A)3 1/5 Km
B)3 2/5 Km
C)3 3/5 Km
D)3 5/7 Km
E)4 1/5 Km
Rationale: Formula = S1*S2/S2-S1 * T1+T2/60
= 4*6/2 * 16/6
= 24/2 * 16/60
= 8 * 2/5
= 16/5 = 3 1/5 Km
A)
Answer: A
Question: Calculate the average of first 16 even numbers is?
Options:
A)16
B)15
C)12
D)17
E)11
Rationale: Explanation:
Sum of 10 even numbers = 16 * 17 = 272
Average = 272/16 = 17
Answer: Option D
Answer: D
Question: A square and an equilateral triangle have the same perimeter. What is the ratio of the area of the circle circumscribing the square to the area of the circle inscribed in the triangle?
Options:
A)9:8
B)15:8
C)27:8
D)8:9
E)8:15
Rationale: let x be side of square
perimeter of square=4x=perimeter of triangle=3*side of triangle
so side of eq. triangle=(4/3)*x
diameter of circle circumscribing the square=sqrt(2)*x
area of circle circumscribing the square=pi*(sqrt(2)*x)^2/4=(pi/2)*x^2 ----(1)
to find radius of the circle inscribed in the triangle
area of triangle=r*s=sqrt(3)/4 * (4x/3)^2
now s=(4/3)*x+(4/3)*x+(4/3)*x/2=2x
so sqrt(3)/4 * (4x/3)^2=r*2x gives
r={2/3*(3^1/2)}*x
area of the circle inscribed in the triangle=pi*[{2/3*(3^1/2)}*x]^2
=pi*(4/27)*x^2 -------(2)
so reqd ratio= eqn(1)/eqn(2)
=[(pi/2)*x^2]/[pi*(4/27)*x^2]=27/8
so reqd ratio=27:8
ANSWER:C
Answer: C
Question: A paper is in a square form whose one side is 20 cm. Two semi circles are drawn on its opposites as diameters. If these semi circles are cut down what is the area of the remaining paper?
Options:
A)8.79
B)8.77
C)8.75
D)8.72
E)8.723
Rationale: (5 * 3.5)/2 = 8.75
Answer: C
Answer: C
Question: A train 660 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Options:
A)640
B)277
C)500
D)297
E)435
Rationale: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (660 + x)/60 = 65/3
x = 640 m.
Answer: A
Answer: A
Question: Arjun and Bhishma are running on a circular track of length 600m. Speed of Arjun is 30 m/s and that of Bhishma is 20 m/s .They start fro the same point at the same time in the same direction. When will they meet again for the first time?
Options:
A)22
B)60
C)27
D)21
E)19
Rationale: Actually Arjun has to make a lead of 600 m, because when Arjun will be 600m ahead of Bhishma, they will be together again as a person when completes the total length it starts retracing he same path and thus Arjun and Bhishma can be together again.
Since , they make a difference of 10 m in 1 second. so, he will create 600m difference in 60 second.
ANSWER=B
Answer: B
Question: If ten persons sit in a row, then the probability that three particular persons are always together is?
Options:
A)1/5
B)1/4
C)1/9
D)1/6
E)1/15
Rationale: Ten persons can be arranged in a row in 10! ways.
Treat the three persons to sit together as one unit then there eight persons and they can be arranged in 8! ways.
Again three persons can be arranged among them selves in 3! ways.
Favourable outcomes = 3!8!
Required probability = 3!8!/10! = 1/15
Answer:E
Answer: E
Question: "A" and "B" run around a circular track starting from the same point simultaneously in the same direction. "A" meets "B" for the first time when "A" is exactly in the middle of his 5th round. If "A" is faster than "B" and take 70 seconds to complete 1 lap, how long will B take to complete 1 lap?
Options:
A)90 seconds
B)54.44 seconds
C)110 seconds
D)63 seconds
E)77 seconds
Rationale: A is faster than B. Every second he increases distance between A and B. They will meet for the first time again when he increases distance between them by one full circle. (Say the lap is of 100m. He keeps increasing distance between them. When he is 90 m ahead of him, it is the same as 10 m behind him because they are moving in a circle. Finally when he is 100 m ahead of him, he is exactly 1 lap ahead and hence both are at the same point).
A takes 70 secs for one full lap. So he covers 4.5 laps in exactly 70*4.5 = 315 seconds.
In 315 secs, B completes 3.5 laps. So for each lap, he takes 315/3.5 = 90 secs
Answer (A)
Answer: A
Question: a man can row 16 kmph in still water.it takes him thrice as long to row up as to row down the river.find the rate of stream
Options:
A)8 km/hr.
B)6 km/hr.
C)9 km/hr.
D)15 km/hr.
E)11 km/hr.
Rationale: Let manâ€™s rate upstream be x kmph.then ,his rate downstream=3xkmph.
So,2x=16 or x=8.
Rate upstream=8 km/hr,rate downstream=24 km/hr.
Hence,rate of stream=1/2(24-8)km/hr=8 km/hr.
Answer is A.
Answer: A
Question: If 7a = 2b = 15, then 42ab =
Options:
A)75
B)125
C)675
D)1100
E)1250
Rationale: 7a * 2b = 15 * 15 = 225
14 ab = 225
i.e. 42 ab = 675
Answer: Option C
Answer: C
Question: 6,9,15,27,51, (...)
Options:
A)44
B)86
C)12
D)99
E)64
Rationale: 6
6Ã— 2 - 3 = 9
9 Ã— 2 - 3= 15
15 Ã— 2 - 3 = 27
27 Ã— 2 - 3 = 51
51 Ã— 2 - 3 = 99
Answer is D
Answer: D
Question: Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Options:
A)77 sec
B)12 sec
C)55 sec
D)43 sec
E)99 sec
Rationale: Speed of the first train = 120/10 = 12 m/sec.
Speed of the second train = 120/5 = 8 m/sec.
Relative speed = 12 + 8 = 20 m/sec.
Required time = (120 + 120)/20 = 12 sec.
Answer: B
Answer: B
Question: In February Wilson’s earnings were 40 percent of his family’s total income. In March Wilson earned 25 percent less than in February. If the rest of his family’s income was the same in both months, then, in March, Wilson’s earnings were approximately what percent of his family’s total income?
Options:
A)15%
B)17%
C)24%
D)30%
E)33%
Rationale: Lets suppose the Total Family income in Feb = 100x
Wilson's earning in Feb = 40% of 100x = 40x
Earnings of remaining family in Feb = 100x - 40x = 60x
Wilson's earning in March = 75% of Wilson's Feb earnings = 75% of 40x = 30x
Earnings of remaining family in March = Earnings of remaining family in Feb = 60x
Thus Wilson's earning as % of Total family income in March = 30x/ (30+60)x = 30x/90x = 33.33%
Thus Answer is E
Answer: E
Question: For how many unique pairs of nonnegative integers {a, b} is the equation a^2 - b^2 = 99 true?
Options:
A)1
B)3
C)5
D)7
E)9
Rationale: Answer C
(a+b)(a-b)=99
3 cases For (a+b), (a-b)
99, 1
33, 3
11, 9
Answer B
Answer: B
Question: An air-conditioning unit costs $470. On December there was a discount for Christmas of 16%. Six months later, the holiday season was over so the company raised the price of the air-conditioning by 12%. How much will an air-conditioning unit cost in November?
Options:
A)$442
B)$470
C)$472
D)$484
E)$491
Rationale: if its previous November(before discount) then price is $470.
but if its November of next year then
16% discount on $470=470(1-16/100)=$394.8
again a corrected raised price of 12% over $394.8=394.8(1+12/100)=442.176~$4442
Ans A
Answer: A
Question: Molly can do a task in 15 days while Sandy can do the task in 10 days. How many days will it take to complete the task if both work together?
Options:
A)6
B)7
C)7.5
D)8
E)9
Rationale: Each day, Molly can do 1/15 of the task.
Each day, Sandy can do 1/10 of the task.
Each day, they can do 1/15 + 1/10 = 1/6 of the task.
The task will be completed in 6 days.
The answer is A.
Answer: A
Question: Miguel is 46 years old. He is 2 years older than twice his son’s age. Find the age of his son.
Options:
A)11years
B)12years
C)15years
D)19years
E)22years
Rationale: sons age=x
46-2x=2
x=22years
ANSWER:E
Answer: E
Question: If p and q are the two digits of the number 653pq such that this number is divisible by 80, then p+q is equal to :
Options:
A)2
B)3
C)4
D)6
E)7
Rationale: Since 653xy is divisible by 5 as well as 2, so y = 0.
Now, 653x0 must be divisible by 8.
So, 3x0 must be divisible by 8. This happens when x = 2
x + y = (2 + 0) = 2.
ANSWER:A
Answer: A
Question: A and B start a business with Rs.6000 and Rs.2000 respectively. Hoe should they share their profits at the end of one year?
Options:
A)3:5
B)3:4
C)3:9
D)3:1
E)3:2
Rationale: They should share the profits in the ratio of their investments.
The ratio of the investments made by A and B =
6000 : 2000 => 3:1,Answer: D
Answer: D
Question: What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for one year, compounding done annually?
Options:
A)9688
B)9687
C)9685
D)9682
E)8800
Rationale: A= P{1 + R/100}n
=> 8000{1 + 10/100}1 = Rs.8800
Answer:E
Answer: E
Question: A, B and C have Rs.1000 between them, A and C together have Rs.700 and B and C Rs.600. How much does C have?
Options:
A)100
B)200
C)300
D)400
E)500
Rationale: A+B+C = 1000
A+C = 700
B+C = 600
--------------
A+B+2C = 1300
A+B+C = 1000
----------------
C =300
ANSWER:C
Answer: C
Question: Smith can do a work in 15 days while Johnson can do it in 25 days. How long will they take if both work together?
Options:
A)3 4/9 days
B)8 4/9 days
C)9 3/8 days
D)6 3/8 days
E)7 3/8 days
Rationale: Explanation:
1/15 + 1/25 = 8/75
75/8 = 9 3/8 days
Answer: C
Answer: C
Question: A clock is started at noon. By 10 minutes past 5, the hour hand has turned through
Options:
A)145°
B)150°
C)155°
D)155°
E)None
Rationale: Sol.
Angle traced by hour hand in 12hrs = 360°
Angle traced by hour hand in 5hrs 10 min. i.e. 31/6 hrs.
= (360/12 x 31/6)° = 155°
Answer C
Answer: C