divelab/Sys2Bench huggingface dataset:
Question: A Ship going at the speed of 18 km/hr crosses a light house in 20 seconds. What is the length of the train?
Options:
A)120
B)150
C)100
D)240
E)200
Rationale: Speed=(18x5/18)=5 m/sec.
Length of the train=(Speed x Time).
Length of the train=5x20m = 100 m.
Answer: C
Answer: C
Question: The ratio of the incomes of X and Y is 6:4 and the ratio of their expenditure is 5:3. If at the end of the year, each saves $2000 then the income of X is?
Options:
A)$11000
B)$10000
C)$12000
D)$10500
E)$10600
Rationale: Let the income of X and Y be $6x and $4x
Let their expenditures be $5y and $3y
6x-5y = 2000-------1)
4x-3y = 2000-------2)
From 1) and 2)
2x-2y = 0 => x = y
x = 2000
Income of X 5 * 2000 = $10000
Answer : B
Answer: B
Question: There is a square of side 6cm . A circle is inscribed inside the square. Find the ratio of the area of circle to square.
Options:
A)11/14
B)1/14
C)13/14
D)12/14
E)5/14
Rationale: Let the side of square = a unit
so Area of Square = a^2
Diameter of inscribed circle = side of square = a
Radius of circle = a/2
Area of circle = (22/7)(a/2)^2
Ratio of area of circle to square = {(22/7)(a/2)^2}/a^2 = 11/14
ANSWER:A
Answer: A
Question: The length of a room is 8 m and width is 4.75 m. What is the cost of paying the floor by slabs at the rate of Rs. 900 per sq. metre.
Options:
A)25650
B)25750
C)26550
D)26750
E)34200
Rationale: Area = 8 × 4.75 sq. metre.
Cost for 1 sq. metre. = Rs. 900
Hence total cost = 8 × 4.75 × 900
= 8 × 4275 = Rs. 34200
Answer is E.
Answer: E
Question: If the height of an equilateral triangle TBC is equal in length to the hypotenuse of an isosceles right triangle DEF, a side of ΔTBC is how many times as long as a leg of the right triangle DEF?
Options:
A)(√2)/(√3)
B)(√3)/(√2)
C)√2
D)(2√2)/(√3)
E)2/(√3)
Rationale: Side of the equilateral triangle TBC = 2m ----> height = m * sqtr(2)
Hipotenuse of the right triangle TBC = m * sqrt(3) ----> side = m * sqtr(3) / sqtr(2)
Question is 2m/m * sqtr(3) / sqtr(2) = 2*sqrt(2)/sqrt(3)=D
Answer: D
Question: A certain pilot flew 400 miles to City K at an average speed of 350 miles per hour with the wind and made the trip back at an average speed of 450 miles per hour against the wind. Which of the following is closest to the pilot’s average speed, in miles per hour, for the round-trip?
Options:
A)390
B)290
C)300
D)310
E)320
Rationale: Avg speed = total distance/ total time
total distance = 800
total time = 400/350 + 400/450 = 128/63
=> avg speed = (800*63)/128 = 390(approx)
ans is A
Answer: A
Question: Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times taken to reach the destination would be (in minutes)?
Options:
A)12
B)30
C)27
D)12
E)13
Rationale: Distance travelled by Ramu = 45 * 4 = 180 km
Somu travelled the same distance in 6 hours.
His speed = 180/6 = 30 km/hr
Hence in the conditional case, Ramu's speed = 45 - 9 = 36 km/hr and Somu's speed = 30 + 10 = 40km/hr.
Therefore travel time of Ramu and Somu would be 5 hours and 4.5 hours respectively. Hence difference in the time taken = 0.5 hours = 30 minutes.
Answer: B
Answer: B
Question: A woman named Vaisali started a business investing Rs. 30,000. Roja joined him after six months with an amount of Rs. 90,000 and Sachin joined them with Rs. 60,000 after another six months. The amount of profit earned should be distributed in what ratio among Vaisali, Roja and Sachin respectively, 3 years after A woman started the business ?
Options:
A)7:6:10
B)6 : 15 : 8
C)14:15:16
D)12:15:16
E)42:45:56
Rationale: Explanation :
Akash : Roja : Sachin = (30,000 x 36) : (90,000 x 30) : (60,000 x 24)
= 36 : 90 : 48 = > 6 : 15 : 8
Answer : B
Answer: B
Question: A rope of which a calf is tied is increased from 10 m to 23 m, how much additional grassy ground shall it graze?
Options:
A)1217
B)1348.2
C)1210
D)1212
E)1312
Rationale: π (232 – 102) = 1348.2
Answer:B
Answer: B
Question: Katie has 9 employees that she must assign to 3 different projects. If 3 employees are assigned to each project and no one is assigned to multiple projects, how many different combinations B of project assignments are possible?
Options:
A)252
B)1,680
C)2,340
D)362,880
E)592,704
Rationale: The ways to select three employees out of 9 for first project = 9C3
The ways to select three employees out of Remaining 6 for Second project = 6C3
Third Project already has the group of three to be assigned to it so need to select that
So total ways to assign 3 employees to each of 3 projects B = 9C3 * 6C3 * 1 = 1,680
Answer: Option B
Answer: B
Question: Jane sold N boxes of cookies. Each cookie costs M dollars to make, and Jane always makes a profit of P dollars per cookie.
If each box of cookies contains Q cookies, what was the selling price for all the cookies?
Options:
A)NP+QM
B)NM-PQ
C)NQ+PM
D)(PQ+MQ)N
E)NQ(P-M)
Rationale: The selling price= the cost price+ profit
The cost price= NQM
The profit made=NQP
And the total selling price=NQM+NQP
=NQ(M+P)
The answer is D!!!
Answer: D
Question: A boat can move upstream at 15 kmph and downstream at 23 kmph, then the speed of the current is?
Options:
A)5 kmph
B)7 kmph
C)8 kmph
D)9 kmph
E)4 kmph
Rationale: US = 15
DS = 23
M = (23 - 15)/2 = 4
Answer:E
Answer: E
Question: Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y?
Options:
A)277 m
B)420 m
C)617 m
D)868 m
E)651 m
Rationale: Let the length of the stationary train Y be LY
Given that length of train X, LX = 300 m
Let the speed of Train X be V.
Since the train X crosses train Y and a pole in 60 seconds and 25 seconds respectively.
=> 300/V = 25 ---> ( 1 )
(300 + LY) / V = 60 ---> ( 2 )
From (1) V = 300/25 = 12 m/sec.
From (2) (300 + LY)/12 = 60
=> 300 + LY = 60 (12) = 720
=> LY = 720 - 300 = 420 m
Length of the stationary train = 420 m
Answer:B
Answer: B
Question: 16.02 × 0.001 = ?
Options:
A)0.1602
B)0.001602
C)1.6021
D)0.01602
E)None of these
Rationale: 16.02 × 0.001 = ?
or,? = 0.01602
Answer D
Answer: D
Question: In a rectangular coordinate system, points O (2,0), P (2,6), and Q (6,0) represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments?
Options:
A)(4,3)
B)(5,2)
C)(3,3)
D)(3,4)
E)(4,2)
Rationale: All points equidistant from O and Q lie on the line x = 4, so the fire station should lie on this line.
All points equidistant from O and P lie on the line y = 3, so the fire station should lie on this line.
These two intersect at (4,3) and that will be the point equidistant from all 3 points.
The answer is A.
Answer: A
Question: By selling 11 pencils for a rupee a man loses 30%. How many for a rupee should he sell in order to gain 30%?
Options:
A)8
B)7
C)6
D)11
E)9
Rationale: 70% --- 12
130% --- ?
70/130 * 11
= 6
Answer:D
Answer: D
Question: If x and y are integers and |x - y| = 11, what is the minimum possible value of xy?
Options:
A)-10
B)-18
C)-28
D)-30
E)-32
Rationale: Sometimes the answer choices to a given question provide a big 'hint' as to how you can go about solving it. This prompt can also be solved without any complex math ideas - you just need to do a bit of 'brute force' math and you'll have the answer relatively quickly.
We're told that X and Y are INTEGERS and |X - Y| = 11. We're asked for the MINIMUM possible value of (X)(Y).
Since all of the answer choices are NEGATIVE, this tells us that ONE of the two variables MUST be negative (and the other must be positive), so we should restrict our work to those options.
IF...
X = 10, Y = -1, then XY = -10
X = 9, Y = -2, then XY = -18
X = 8, Y = -3, then XY = -24
X = 7, Y = -4, then XY = -28
X = 6, Y = -5, then XY = -30
X = 5, Y = -6, then XY = -30
X = 4, Y = -7, then XY = -28
From this, we can conclude the XY will start to get bigger as X continues to decrease down to 1, so there's no need to do any additional work.
Final Answer:
D
Answer: D
Question: In the coordinate plane, points (x, 8) and (20, y) are on line k. If line k passes through the origin and has slope 1/4, then x * y =
Options:
A)120
B)100
C)135
D)140
E)160
Rationale: Line k passes through the origin and has slope 1/4 means that its equation is y=1/4*x.
Thus: (x, 8)=(32, 8) and (20, y) = (20,5) --> x*y=32*5=160.
Answer: E
Answer: E
Question: In Town X, 60 percent of the population are employed, and 48 percent of the population are employed males. What percent of the employed people in Town X are females?
Options:
A)16%
B)20%
C)31%
D)40%
E)52%
Rationale: We are asked to find the percentage of females in employed people.
Total employed people 60%, out of which 48 are employed males,hence 12% are employed females.
(employed females)/(total employed people)=12/60=1/5=20%
Answer: B.
Answer: B
Question: The number of perfect square divisors of 12!
Options:
A)144
B)154
C)164
D)175
E)184
Rationale: the min no divided by 12 and is perfect square is 144
ANSWER:A
Answer: A
Question: A man is walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge is
Options:
A)1000 meters
B)1050 meters
C)1200 meters
D)1250 meters
E)None of these
Rationale: Explanation:
We need to get the answer in meters. So we will first of change distance from km/hour to meter/sec by
multiplying it with 5/18 and also change 15 minutes to seconds by multiplying it with 60.
Answer: D
Answer: D
Question: Four people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
Options:
A)1/3
B)2/7
C)3/7
D)4/7
E)None of them
Rationale: Original share of 1 person = 1/4
New share of 1 person = 1/3
Increase = (1/3 - 1/4	= 1/12)
Therefore, Required fraction = (1/12)/(1/4)	= (1/12)x (4/1)	= 1/3
Answer is A.
Answer: A
Question: If the sum of a number and its square is 306, What is the number?
Options:
A)16
B)77
C)25
D)17
E)171
Rationale: Explanation:
Let the integer be x.
Then, x + x2 = 306
x2 + x - 306 = 0
(x + 18) (x – 17) = 0
x = 17
ANSWER: D
Answer: D
Question: 2, 3, 6, 15, _ , 123 ?
Options:
A)42
B)38
C)28
D)29
E)11
Rationale: ANSWER: A
Answer: A
Question: At exactly what time past 4:00 will the minute and hour hands of an accurate working clock be precisely perpendicular to each other for the first time?
Options:
A)20 13/21 minutes past 7:00
B)20 13/17 minutes past 7:00
C)21 3/23 minutes past 7:00
D)21 9/11 minutes past 4:00
E)22 4/9 minutes past 7:00
Rationale: 5.5 is the angle between minute n hour, this is what I was taught...so shouldn't it be solve by dividing 90 with 5.5?
That would have been the case if your initial difference between the hour and the minute hand was = 0 degrees or in other words, both minute and hour hands were at the same location. But as per the question, you are asked for time AFTER 4:00. At 4:00, the angle between the hour and the minute hand is 210 degrees. you need to take this into account as well.
So in order for the difference to decrease to 90 degrees, the minute hand must eat away this difference of 210-90 = 120 degree at the rate of 5.5 degrees per minute ---> 120/5.5 = 21 9/11 minutes.
Thus, D is the correct answer.
Answer: D
Question: Right triangle RST can be constructed in the xy-plane such that RS is perpendicular to the y-axis and the right angle is at R. The x and y-coordinates of R, S, and T are to be nonzero integers that satisfy the inequalities −3 ≤ x ≤ 4 and −7 ≤ y ≤ 3. Given these restrictions, how many different triangles can be constructed?
Options:
A)3780
B)4200
C)4900
D)6160
E)7744
Rationale: −3 ≤ x ≤ 4 and −7 ≤ y ≤ 3 gives a rectangle with 8*11 dimensions (8 horizontal and 11 vertical dots). We are given that RS is parallel to x-axis, RT is parallel to y-axis and the right angle is at R.
Choose the (x,y) coordinates for vertex R: 7C1*10C1 (we are told that coordinates of R, S, and T must be nonzero integers, so we are choosing from 7 and 10 instead of 8 and 11 because we should exclude 0);
Choose the x coordinate for vertex S (as y coordinate is fixed by R): 6C1, (7-1=6 as 1 horizontal dot is already occupied by R);
Choose the y coordinate for vertex T (as x coordinate is fixed by R): 9C1, (10-1=9 as 1 vertical dot is already occupied by B).
7C1*10C1*6C1*9C1=3,780.
Answer: A.
Answer: A
Question: Working alone at its constant rate, machine K took 3 hours to produce 1/8 of the units produced last Friday. Then machine M started working and the two machines, working simultaneously at their respective constant rates, took 9 hours to produce the rest of the units produced last Friday. How many hours would it have taken machine M, working alone at its constant rate, to produce all of the units produced last Friday?
Options:
A)8
B)12
C)18
D)24
E)30
Rationale: Machine K works at a rate of 1/24 of the units per hour.
The rate of K + M together is 7/8 * 1/9 = 7/72 of the units per hour.
The rate of machine M is 7/72 - 3/72 = 1/18.
It would have taken machine M a total time of 18 hours.
The answer is C.
Answer: C
Question: If 5 women or 8 girls can do a work in 84 days. In how many days can 10 women and 5 girls can do the same work?
Options:
A)32 days
B)48 days
C)52 days
D)38 days
E)28 days
Rationale: Given that 5 women is equal to 8 girls to complete a work.
So, 10 women = 16 girls.
Therefore 10 women + 5 girls = 16 girls + 5 girls = 21 girls.
8 girls can do a work in 84 days then 21 girls can do a work in (8*84/21) = 32 days.
Therefore 10 women and 5 girls can a work in 32 days
Answer : A.
Answer: A
Question: P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day?
Options:
A)15 days
B)17 days
C)25 days
D)27 days
E)29 days
Rationale: Amount of work P can do in 1 day = 1/20
Amount of work Q can do in 1 day = 1/30
Amount of work R can do in 1 day = 1/60
P is working alone and every third day Q and R is helping him
Work completed in every three days = 2 × (1/20) + (1/20 + 1/30 + 1/60) = 1/5
So work completed in 15 days = 5 × 1/5 = 1
Ie, the work will be done in 15 days
A)
Answer: A
Question: The sum of three integers A, B and C is 60. A is one third of the sum of B and C and B is one fifth of the sum of A and C. What is C?
Options:
A)40
B)45
C)35
D)50
E)55
Rationale: A is one third of the sum of B and C..
or A=1/3(B+C)...
But A+B+C=60
so 1/3(B+C)+B+C=60
4(B+C)/3= 60
B+C =60*3/4 = 45
A=60-45=15
2)B is one fifth of the sum of A and C
or B=1/5(A+C)...
But A+B+C=60
so 1/5(A+C)+A+C=60
A+C=60*5/6=50
but A=15, so C=50-15=35
Answer :C
Answer: C
Question: Andrew purchased 14kg of grapes at the rate of 54 per kg and 10 kg of mangoes at the rate of 62 per kg. How much amount did he pay to the shopkeeper?
Options:
A)1000
B)1376
C)1456
D)1900
E)1566
Rationale: Cost of 14 kg grapes = 54 × 14 = 756.
Cost of 10 kg of mangoes = 62 x10 = 620.
Total cost he has to pay = 756 + 620 = 1376
B
Answer: B
Question: find the number, difference between number and its 3/5 is 64.
Options:
A)160
B)163
C)164
D)165
E)166
Rationale: Explanation:
Let the number = x,
Then, x-(3/5)x = 64,
=> (2/5)x = 64 => 2x = 64*5,
=> x = 160
Answer: Option A
Answer: A
Question: In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is:
Options:
A)40
B)20
C)30
D)80
E)60
Rationale: Quantity of milk = (60 x 2/3) litres = 40 litres.
Quantity of water in it = (60- 40) litres = 20 litres.
New ratio = 1 : 2
Let quantity of water to be added further be x litres.
Then, milk : water = (40/(20 + x))
Now, (40/(20 + x))= 1/2
= 20 + x = 80
= x = 60.
Therefore, Quantity of water to be added = 60 litres.
Answer is E.
Answer: E
Question: Find the average of all numbers between 5 and 45 which are divisible by 6
Options:
A)26
B)24
C)28
D)30
E)35
Rationale: Explanation:
Average=(6+12+18+24+30+36+42 / 6)=168/6=28
Option C
Answer: C
Question: If x/y is an integer, which of the following must also be not an integer?
I. xy
II. y/x
III. x
Options:
A)I alone
B)II alone
C)III alone
D)I and III
E)All three answers
Rationale: Let's take X = 4/3 and Y = 2/3
Then X/Y = 2 which is an integer.
But XY = 4/3 * 2/3 = 8/9 --> Not an integer.
Y/X = 2/3 divided by 4/3 = 2/4 = 1/2 Not an integer.
X alone is 4/3. Not an integer.
Hence E.
Answer: E
Question: 15 litres of mixture contains 20% alcohol and the rest water. If 3litres of water be mixed with it, the percentage of alcohol in the new mixture would be?
Options:
A)16.67%
B)23%
C)18.3%
D)19.75%
E)21.23%
Rationale: Alcohol in the 15litres of mix. = 20% of 15litres = (20*15/100) = 3litres
water in it = 15-3 = 12litres
new quantity of mix. = 15+3 = 18 litres
Quantity of alcohol in it = 3litres
Percentage of alcohol in new mix. = 3*100/18 = 50/3= 16.67%
Answer is A
Answer: A
Question: A(n+1)=1+(1/A(n)) and A(1)=1. What is the value of A(7)?
Options:
A)15/7
B)17/9
C)19/11
D)21/13
E)23/15
Rationale: A(n+1)=1+(1/A(n))
A(1) = 1
A(2) = 2
A(3) = 3/2
A(4) = 5/3
A(5) = 8/5
A(6) = 13/8
A(7) = 21/13
The answer is D.
Answer: D
Question: Two fill pipes A and B can fill a cistern in 12 and 16 minutes respectively. Both fill pipes are opened together, but 4 minutes before the cistern is full, one pipe A is closed. How much time will the cistern take to fill ?
Options:
A)9 1⁄7min.
B)3 1⁄3min.
C)5 min.
D)3 min.
E)None of these
Rationale: Let cistern will be full in x min. Then,
part filled by B in x min + part filled by A in (x – 4)min = 1
⇒ x/16+x−4/12=1
⇒ x = 64⁄7 = 91⁄7 hours.
Answer A
Answer: A
Question: What approximate value should come in place of the question mark (?) in the following equation?
85.147 + 34.912 × 6.2 + ? = 802.293
Options:
A)400
B)450
C)550
D)600
E)500
Rationale: 85.147 + 34.912 × 6.2 + ? = 802.293
or, ? = 802.293 – 85.147 – 34.912 × 6.2
≈ 800 – 85 – 35 × 6 ≈ 500
Answer E
Answer: E
Question: What is the sum of the different positive prime factors of 540?
Options:
A)10
B)11
C)15
D)16
E)18
Rationale: 540
54*10 --> 3*3*3*2*2*5 --> 3+5+2=10. Remember its asking for the DIFFERENT positive prime factors of 540.
A
Answer: A
Question: The number of sailors on a ship is 88% more than the number of officers. The ratio of sailors to officers would be
Options:
A)33:25
B)47:20
C)47:25
D)22:25
E)97:50
Rationale: Sailor = 1/88 * Officer
Sailor/Officer = 1.88/1 = 188/100 = 47/25
Answer will be C
Answer: C
Question: Mysoon collects glass ornaments. Ten more than 1/6 of the ornaments in her collection are handmade, and 1/2 of the handmade ornaments are antiques. If 1/4 of the ornaments in her collection are handmade antiques, how many ornaments are in her collection?
Options:
A)30
B)60
C)108
D)144
E)180
Rationale: The number of ornaments = a
Ten more than 1/6 of the ornaments in her collection are handmade => Handmade = 10+a/6
1/2 of the handmade ornaments are antiques => Handmade ornaments = 1/2*(10+a/6) = 5 + a/12
1/4 of the ornaments in her collection are handmade antiques => Handmade ornaments = a/4
=> 5 + a/12 = a/4 => a = 30
Ans: A
Answer: A
Question: Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: 1250 = D(100/4)2
D = 2
Answer: B
Answer: B
Question: A ferry can transport 85 tons of vehicles. Automobiles range in weight from 1,800 to 3,200 pounds. What is the greatest number of automobiles that can be loaded onto the ferry?
Options:
A)23
B)41
C)48
D)90
E)86
Rationale: to get maximum vehicles we must take into consideration the minimum weight i.e 1800 pounds here
since , 1 ton = 2000 pounds
85 tons will be 170,000 pounds
from the answer choices:
let max number of vehicles be 86
total weight will be =90*1800 = 162000 pounds , which is lesser than the maximum weight allowed .
Ans: D
Answer: D
Question: If 1=x. 2=2x 3=4x....
what is 2x*6x+5x/4x-56x
Options:
A)1
B)22
C)23
D)10
E)25
Rationale: Let
1=x
2=2x
3=4x
4=8x
5=16x
6=32x
7=64x
now given
2x*6x+5x/4x-56x
i can write it as
=2x*(2x+4x)+(x+4x)/4x-(64x-8x)
Now by putting the values i get
=2*(2+3)+(8+1)/3-(7-4)
=2*5+9/3-3
=10+9/3-3
=10+3-3
=10
ANSWER:D
Answer: D
Question: A man purchases 2 watches for $ 400. He sells one at 10% profit and the other at a loss of 15%. He neither gains nor loses on the whole. Thus, the cost price of two watches are :
Options:
A)$ 260 and $ 300
B)$210 and $ 350
C)$160 and $240
D)$400 and $80
E)$224 and $ 350
Rationale: x + y = 400 --- (1)
1.10x + 0.85y = 400 --- (2)
(2) - (1) --> 0.10x - 0.15y = 0
10x =15y
x/y = 15/10= (2*80)/(3*80) =160/240
Answer: C
Answer: C
Question: Insert the missing number
4, -8, 16, -32, 64, (....)
Options:
A)128
B)-128
C)192
D)-132
E)0
Rationale: 4*-2=-8
-8*-2=16
16*-2=-32
-32*-2=64
64*-2=-128
ANSWER:B
Answer: B
Question: Evaluate : (313 x 313 + 287 x 287).
Options:
A)180338
B)108338
C)180383
D)180833
E)None of them
Rationale: (a^2 + b^2) = 1/2 [(a + b)^2 + (a- b)^2]
(313)^2 + (287)^2 = 1/2 [(313 + 287)^2 + (313 - 287)^2] = ½[(600)^2 + (26)^2]
= 1/2 (360000 + 676) = 180338.
Answer is A.
Answer: A
Question: In the Biotechnology class of 2000, there were R graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn't do both, What is R equal to?
Options:
A)69.
B)71.
C)73.
D)75.
E)76.
Rationale: Total = 32 +45 -13 +9 = 73 .... My first post on the forum... I hope I am correct
C is correct choice.
Answer: C
Question: In a question on division with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is?
Options:
A)10
B)20
C)24
D)26
E)28
Rationale: Number = (35 * 12) = 420
Correct quotient = 420/21 = 20
B)
Answer: B
Question: A man's present age is two-fifth of the age of his father. After 8 years, he will be one-half of the age of his father. How old is the father at present
Options:
A)30
B)35
C)50
D)55
E)40
Rationale: fathers age - x
man present age = 2/5x
(2/5x+8) = 1/2(x+8)
==> x =40
ANSWER E
Answer: E
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Options:
A)9
B)7
C)5
D)4
E)6
Rationale: Speed of train relative to man = 60 + 6 = 66 km/hr.
= 66 * 5/18 = 55/3 m/sec.
Time taken to pass the men = 110 * 3/55
= 6 sec.
Answer: E
Answer: E
Question: A tourist purchased a total of $1,450 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost?
Options:
A)$1,430
B)$1,310
C)$1,290
D)$1,220
E)$1,150
Rationale: since total cashed checks = 7 ans $10 check cashed = one less or more than $50 checks
Therefore either $10 checks = 3 and $50 checks = 4 OR $10 checks = 4 and $50 checks = 3
using this information 1st option gives us the maximum cashed value therefore if we negate this value from total value we will get minimum value of which checks have lost
Therfore 1450 - 230 = 1220 hence answer is D
Answer: D
Question: The sum of number of boys and girls in a school is 150. If the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is?
Options:
A)50
B)40
C)60
D)100
E)70
Rationale: We have x+x% of 150 = 150
x + x/100 * 150 = 150
5/2 * x = 150
x = 150*2/5 = 60
Answer is C
Answer: C
Question: The average of 7 numbers is 15. If each number be multiplied by 5. Find the average of new set of numbers?
Options:
A)A)110
B)B)122
C)C)90
D)D)85
E)E)75
Rationale: Explanation:
Average of new numbers = 15 * 5 = 75
Answer: Option E
Answer: E