divelab/Sys2Bench huggingface dataset:
Question: If n is a positive integer and n^2 is divisible by 200, then what is the largest positive integer that must divide n?
Options:
A)10
B)15
C)20
D)36
E)50
Rationale: 200 = 2^3 * 5^2
If 200 divides n^2, then n must be divisible by 2^2 * 5 = 20
The answer is C.
Answer: C
Question: if the price of a book is first decreased by 30% and then increased by 20%, then the net change in the price will be :
Options:
A)10
B)16
C)37
D)29
E)22
Rationale: Explanation:
Let the original price be Rs. 100.
Decreased by 30% = 70
Then increased 20% on Rs 70 = 70 + 14 = 84
Net change in price = 100 - 84 = 16
Answer : B
Answer: B
Question: At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
Options:
A)4%
B)9%
C)3%
D)6%
E)8%
Rationale: 150 = (750*5*R)/100
R = 4%
Answer: A
Answer: A
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Options:
A)12a.m
B)10a.m
C)09a.m
D)06a.m
E)02a.m
Rationale: Suppose they meet x hours after 7 a.m.
Distance covered by A in x hours = 20x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
Therefore 20x + 25(x - 1) = 110
45x = 135
x = 3.
So, they meet at 10 a.m.
Answer: B
Answer: B
Question: The radius of a cylindrical vessel is 7cm and height is 6cm. Find the whole surface of the cylinder?
Options:
A)281
B)771
C)440
D)767
E)572
Rationale: r = 7 h = 6
2πr(h + r) = 2 * 22/7 * 7(13) = 572
Answer:E
Answer: E
Question: In the county of Veenapaniville, there are a total of 50 high schools, of three kinds: 25 public schools, 13 parochial schools, and 12 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)2
B)3
C)4
D)5
E)6
Rationale: Total Private Schools = 12
Dist A: High Schools = 18 ==> Private Schools = ?
Dist B: High Schools = 17 ==> Private Schools = 2
Dist C: High Schools = 15 ==> Private Schools = 5
Therefore, 12 - 2 - 5 ==> 5
Answer D)
Answer: D
Question: A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Options:
A)Rs. 12
B)Rs. 15
C)Rs. 18
D)Rs. 21
E)Rs. 25
Rationale: Explanation:
Dividend on Rs. 20 = Rs.	9/100*20= Rs.	9/5
Rs. 12 is an income on Rs. 100.
Rs.	9/5	is an income on Rs.(100/12 *9/5)= Rs. 15.
ANSWER IS B
Answer: B
Question: John spent a total of $135 on baseball tickets. The price of a ticket is either $12 for the field seats or $5 for the balcony. What is the minimum amount E of dollars he could have spent for the $12 tickets?
Options:
A)$48
B)$60
C)$84
D)$96
E)$120
Rationale: 60 ..... 12 *5 E= 60. (min). Thus answer .B
Answer: B
Question: If 5 men undertook a piece of construction work and finished half the job in 15 days. If two men drop out, then the job will be completed in
Options:
A)5 days
B)15days
C)10 days
D)25days
E)20days
Rationale: That is, half the work done = 5 * 15 * 1/2
Then, 5 * 15 *1/2 = 3 *? *1/2
i.e. 5 *15 = 3 *?
= 5 * 15/3 = 25 day
D
Answer: D
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Options:
A)98
B)27
C)40
D)37
E)29
Rationale: 800*(25/100) = 200 ---- 5
? ---- 1 => Rs.40
Answer:C
Answer: C
Question: How long does a train 110 m long travelling at 60 kmph takes to cross a bridge of 170 m in length?
Options:
A)15.8 sec
B)14.9 sec
C)12.4 sec
D)16.8 sec
E)11.8 sec
Rationale: D
16.8 sec
D = 110 + 170 = 280 m
S = 60 * 5/18 = 50/3
T = 280 * 3/50 = 16.8 sec
Answer: D
Question: If the ratio of ages of Mohan and Rakesh 4:3 and sum of their ages is 28 years then ratio of their ages after 4 years will be
Options:
A)5:4
B)3:4
C)6:5
D)7:4
E)7:5
Rationale: let monhan age is 4x and rakesh age is 3x.
accn to d ques 4x+3x=7x
7x=28
x=4
after 4 years mohan will be 4x+4=(4*4)+4=20
rakesh will be=3x+4=(3*4)+4=16
20:16=5:4
ANSWER:A
Answer: A
Question: The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product?
Options:
A)12.5%
B)13%
C)15%
D)17%
E)19%
Rationale: Quantity X Rate = Price
1 x 1 = 1
0.7 x 1.25 = 0.875
Decrease in price = (0.125/1) × 100 = 12.5%
A)
Answer: A
Question: During 2003, a company produced an average of 4,000 products per month. How many products will the company need to produce from 2004 through 2007 in order to increase its monthly average for the period from 2003 through 2007 by 150% over its 2003 average?
Options:
A)435,000
B)440,000
C)450,000
D)480,000
E)432,000
Rationale: Company produced 12*4000 = 48,000 products in 2003. If company produces X products from 2004 to 2007, then total amount of product produced in 4 years (2003 through 2007) is X+48,000. The gives the average of (X+48,000)/4.
This average needs to be 300% higher than that in 2003. In math terms, 48,000+150%(48,000) = 120,000. So:
(X+48,000)/4 = 120,000
X+48,000 = 480,000
X = 432,000
The answer is E.
Answer: E
Question: If a square is formed by the diagonal of the square as an edge, what is the ratio between the
area?
Options:
A)1:2
B)2:1
C)1:3
D)1:4
E)1:5
Rationale: suppose square area is=a^2
then diagonal cosidering as a edge area is=2a^2
then a^2:2a^2
1:2
ANSWER:A
Answer: A
Question: After allowing a discount of 15% on the marked price, the selling price is Rs. 6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?
Options:
A)3347
B)2788
C)5000
D)2787
E)2811
Rationale: Given SP = Rs. 6800
Marked price = [SP(100)]/(100 - d%) = (6800 * 100)/(100 - 15) = Rs. 8000
If SP = Rs. 8000, profit = 60%
CP = [SP(100)]/(100 + 60) = (8000 * 100)/160 = Rs. 5000
Answer: C:
Answer: C
Question: The sum of ages of 5 children born 3 years different each is 50 yrs. What is the age of the Elder child?
Options:
A)8
B)9
C)16
D)17
E)18
Rationale: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
5x = 20
x = 4.
x+12= 4+12= 16
C
Answer: C
Question: In a certain pond, 60 fish were caught, tagged, and returned to the pond. A few days later, 60 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what`s the approximate number of fish in the pond?
Options:
A)1500
B)1200
C)1000
D)2500
E)10 000
Rationale: If x is total number of fish in the pond :
4 = 60/x * 100
=> x = 1500
So answer is A
Answer: A
Question: Two employees X and Y are paid a total of Rs. 580 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Options:
A)s.263
B)s.283
C)s.293
D)s.300
E)s.383
Rationale: Let the amount paid to X per week = x
and the amount paid to Y per week = y
Then x + y = 580
But x = 120% of y = 120y/100 = 12y/10
∴12y/10 + y = 580
⇒ y[12/10 + 1] = 580
⇒ 22y/10 = 580
⇒ 22y = 5800
⇒ y = 5800/22 = Rs.263
A)
Answer: A
Question: 63 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
Options:
A)A)87
B)B)77
C)C)66
D)D)55
E)E)97
Rationale: (63 * 8)/30
= (x * 6)/50
=> x =140
140 – 63
= 77
Answer:B
Answer: B
Question: If the complement of a certain angle is six times the measure of that certain angle, then what is the measure of that certain angle?
Options:
A)45°
B)30°
C)12.9°
D)18°
E)15°
Rationale: Thecomplementof angle A is the angle which, when added to angle A, gives 90 degrees. The two acute angles of a right triangle are complements, for example.
The original angle is x, so the complement is 6x, and together, these add up to 90 degrees.
x + 6x = 90
7x = 90
x = 12.9°
Answer = (C)
Answer: C
Question: The least number which must be subtracted from 709 to make it exactly divisible by 9 is:
Options:
A)A)2
B)B)3
C)C)7
D)D)5
E)E)6
Rationale: On dividing 709 by 9, we get remainder= 7
Therefore, required number to be subtracted= 7
Answer: C
Answer: C
Question: The length of a rectangle is one fourth of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 784 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 5 units?
Options:
A)35 sq.units
B)45 sq.units
C)55 sq.units
D)50 sq.units
E)40 sq.units
Rationale: Given that the area of the square = 784 sq.units
=> Side of square = âˆš784 =28 units
The radius of the circle = side of the square = 28 units
Length of the rectangle = 1/4 * 28 = 7 units
Given that breadth = 5 units
Area of the rectangle = lb = 7 * 5 = 35 sq.units
Answer:A
Answer: A
Question: In a 100-mile trip, the first 30 miles were completed at 60 mph. If the average speed for the whole trip was 40 mph, what was the average speed in the last 70 miles?
Options:
A)30 mph
B)32 mph
C)35 mph
D)37 mph
E)38 mph
Rationale: The time to complete the first 30 miles was (30 miles / 60 mph) = (1/2) hours.
The time to complete the whole trip was (100 miles / 40 mph) = (5/2) hours.
The time to complete the last 70 miles was (5/2) - (1/2) = (2) hours.
The average speed in the last 70 miles was (70 miles / 2 hours) = 35 mph.
The answer is C.
Answer: C
Question: The average of the marks of 30 students in a class is 45. If the marks of each student are doubled, find the new average?
Options:
A)85
B)77
C)33
D)90
E)75
Rationale: Sum of the marks for the 30 students
= 30 * 45 = 1350. The marks of each student are doubled, the sum also will be doubled.
The new sum = 1350 * 2 = 2700. So, the new average
= 2700/30 = 90.
Answer:D
Answer: D
Question: How long does a train 110 meters long running at the rate of 36km/hr take to cross a bridge 132 meters in length?
Options:
A)24.2 sec
B)30.6 sec
C)32.6 sec
D)28.1 sec
E)20.4 sec
Rationale: Distance = length of train + length of bridge = 110+132 = 242
speed = 36km/hr = 36*5/18 = 10m/s
Required time = 242/10 = 24.2 seconds
Answer is A
Answer: A
Question: A cistern is filled by a tap in 3 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 long will it take the leak to empty it?
Options:
A)24
B)28
C)26
D)21
E)23
Rationale: 2/7 - 1/x = 1/4
x = 28
Answer: B
Answer: B
Question: Train Q leaves New York at 7:00 am traveling to Boston at 80mph. Train B leaves Boston at 7:45 am traveling to New York at 70 mph on a parallel track. If the distance between New York and Boston is 210 miles, at what time will the two trains pass each other?
Options:
A)8:15 am
B)8:45 am
C)9:00 am
D)9:30 am
E)Cannot be determined from the information given
Rationale: train Q will cover 60 kms in 45 min at 7:45, the time when train B starts...
distance left to cover is 210-60=150..
combined speed=80+70=150..
so the trains meet in 1 hour i.e. 7:45 + 1 hr=8:45
B
Answer: B
Question: Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block?
Options:
A)113
B)114
C)115
D)116
E)117
Rationale: The total volume (in terms of number of cubes) of the solid = 3*9*5 = 135
The total volume (in terms of number of cubes) of the hollow = (3-2)*(9-2)*(5-2)
= 21
so number of cubes required = 135-21 = 114
ANSWER:B
Answer: B
Question: For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.25000, my total savings for the two-year is
Options:
A)s. 6000
B)s. 9000
C)s. 9900
D)s. 9990
E)s. 10000
Rationale: Sol. Income in first year = * x 42000 = Rs. 24000
Expenses in second year = \ x 21000 = Rs. 35000 Total savings = Total income - Total expenses = (42000 + 24000)- (25000 + 35000)
= 66000 - 60000 = Rs. 6000
A
Answer: A
Question: What will be the cost of building a fence around a circular plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
Options:
A)A)Rs.3944
B)B)Rs.3495.28
C)C)Rs.3988
D)D)Rs.3949
E)E)Rs.3923
Rationale: Let the side of the circular plot be a ft.
pi*(r)^2 = 289 => r = 9.59
Length of the fence = Perimeter of the plot = 2*pi*r = 60.26 ft.
Cost of building the fence = 60.26 * 58 = Rs.3495.28
Answer: B
Answer: B
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.40000?
Options:
A)6620
B)3277
C)2688
D)13240
E)2789
Rationale: A = 40000(11/10)3
= 53240
= 40000
----------
13240
Answer:D
Answer: D
Question: A person takes 20 minutes more to cover a certain distance by decreasing his speed by 20%. What is the time taken to cover the distance at his original speed?
Options:
A)1 hour 70 minutes
B)1 hour 28 minutes
C)1 hour 20 minutes
D)2 hour 20 minutes
E)1 hour 30 minutes
Rationale: Let the distance and original speed be d km and k kmph respectively.
d/0.8k - d/k = 20/60 => 5d/4k - d/k = 1/3
=> (5d - 4d)/4k = 1/3 => d = 4/3 k
Time taken to cover the distance at original speed
= d/k = 4/3 hours = 1 hour 20 minutes.
Answer: C
Answer: C
Question: If m=9^(x−1), then in terms of m, 3^(4x−4) must be which of the following?
Options:
A)m/3
B)9m
C)9m^2
D)m^2
E)m^2/9
Rationale: m = 9 ^ (X-1)
m = 3 ^ (2x-2)
m^2 = 3 ^ (4x-4)
Answer D
Answer: D
Question: Find a sum for first 12 prime no's from number series?
Options:
A)190
B)178
C)197
D)189
E)100
Rationale: Required sum = (2+ 3+ 5+ 7+11+ 13+17+ 19+23+ 29+31+37) = 197
Note: 1 is not a prime number
Option C
Answer: C
Question: In how many ways can 4 boys be allotted 3 different rooms such that none of the rooms are empty and all the 4 boys are accommodated?
Options:
A)15
B)24
C)18
D)20
E)22
Rationale: 3 boys can be selected from 4 boys in 4C3 ways = 4
3 boys can be arranged in 3 rooms in 3! ways
and since 1 boy has to share a room with one of the 3 boys, therefore total ways = 1! = 1
Hence total number of ways in which allocation can be done = 4C3 * 3! * 1! = 4*1*3! = 24
answer is B
Answer: B
Question: The average mark of the students of a class in a particular exam is 60. If 5 students whose average mark in that exam is 44 are excluded, the average mark of the remaining will be 80. Find the number of students who wrote the exam?
Options:
A)12
B)10
C)7
D)9
E)8
Rationale: Let the number of students who wrote the exam be x.
Total marks of students = 60 x.
Total marks of (x - 5) students = 90(x - 5)
60x - (5 * 44) = 80(x - 5)
180 = 20x => x = 9
Answer: D
Answer: D
Question: WINK, Inc. follows a certain procedure that requires two tasks to be finished independently in order for a job to be done. On any given day, there is a 3/8 probability that task 1 will be completed on time, and a 3/5 probability that task 2 will be completed on time. On a certain day, what is the probability that task 1 will be completed on time, but task 2 will not?
Options:
A)1/20
B)3/40
C)13/40
D)3/20
E)13/22
Rationale: P(1 and not 2)=3/8*(1-3/5)=14/40=3/20.
Answer: D.
Answer: D
Question: If a survey shows that 34 citizens out of a sample of 200 support a particular Senate bill, what percent of the sample does not support the bill?
Options:
A)56%
B)64%
C)72%
D)83%
E)86%
Rationale: Those who support = 34.
% of those who don't support it is (200-34)/ 200 = 83%
Answer D
Answer: D
Question: The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person?
Options:
A)30
B)20
C)10
D)5
E)15
Rationale: Let present age of the elder person =x and
present age of the younger person =x−16
(x−6)=3(x−16−6)⇒x−6=3x−66⇒2x=60⇒x=602=30
Answer is A.
Answer: A
Question: A person decided to build a house in 100days. He employed 100men in the beginning and 100 more after 20 days and completed the construction in stipulated time. If he had not employed the additional men , how many days behind schedule would it have been finished?
Options:
A)40
B)80
C)70
D)60
E)50
Rationale: 200 men do the rest of the work in 100-20 = 80days
100 men can do the rest of the work in 80*200/100 = 160days
Required number of days = 160-80 = 80 days
Answer is B
Answer: B
Question: $6,000 is deposited in a savings account that pays 10% annual interest compounded semiannually. To the nearest dollar, how much is in the account at the end of the year?
Options:
A)$6615.15
B)$6615.00
C)$6714.10
D)$6655.55
E)$6698.20
Rationale: this is the case of semi-annual compoundingso, multiply time period by 2 and divide rate by 2
So,
new time=2periods and new rate=10/2=5%
Now,
CA=6000(1+5/100)^2=$6615.00
Hence answer is B
Answer: B
Question: A train is 310 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Options:
A)36 seconds
B)18 seconds
C)40 seconds
D)19 seconds
E)45 seconds
Rationale: Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec
Total distance = 310+140 = 500 meter
Time = Distance/speed
= 450 * (2/25)
= 36 seconds
Answer: A
Answer: A
Question: If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,880,713 minutes earlier? (Assume standard time in one location.)
Options:
A)6:22
B)6:24
C)6:27
D)6:30
E)6:32
Rationale: 6:27minus 2,880,713in any way must end with 4, the only answer choice which ends with 4 is B.
Answer: B.
Answer: B
Question: 1/2, 1/4, 1/8, 1/16, ....
In the sequence above each term after after the first one-half the previous term. If x is the tenth term of the sequence, then x satisfies which of the following inequalities?
Options:
A)0.1 < x < 1
B)0.01 < x < 0.1
C)0.001 < x < 0.01
D)0.0001 < x < 0.001
E)0.00001 < x < 0.0001
Rationale: In the Sequence notice that the sequence is just the 1/(2^n) ...
so for 1st term=1/2^1=1/2
2nd term=1/(2^2)1/4, 3rd term=1/(2^3)=1/8 and so on...
Thus the 10th term will be 1/(2^10)=1/1024
Roughly, 1/1024 can be 1/1000=0.001 but since denominator is a bit more than 1000 therefore the actual value will be a bit less than 0.001.
thus the ans will lie btw. 0.001 and 0.01.(C)
Answer: C
Question: In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Options:
A)1/7
B)2/7
C)3/4
D)4/5
E)8/9
Rationale: n(S)=10+25=35
n(E) = 10
P(E)=10/35=2/7
ANSWER B
Answer: B
Question: Paul bought 100 books from $1250. If he sold 30 % of books to the $10 unit price and the other books in the $15 unit price, then what total profit did he realize?
Options:
A)$100
B)$105
C)$110
D)$120
E)$150
Rationale: Profit = revenu - cost
Revenu =
(100 books * 30%) * $10 = $300
[100 books * (100% - 30%) * $15 = (100 books * 70%) * $15 = 1050
cost: given in the question: $1250
Profit = $1350 - $1250 = 100$
Correct option: A) 100$
Answer: A
Question: How many three letter words are formed using the letters of the word COMPUTER?
Options:
A)22
B)334
C)356
D)336
E)91
Rationale: Explanation:
The number of letters in the given word is eight.
The number of three letter words that can be formed using these eight letters is Ã¢Â´PÃ¢â€šÆ’ = 8*7*6 = 336.
Answer: D
Answer: D
Question: The length of a rectangle is 2 times its width. If the width of the rectangle is 4 inches, what is the rectangle's area, in square inches?
Options:
A)30 square inches
B)75 square inches
C)68 square inches
D)89 square inches
E)32 square inches
Rationale: If the width is 4 in and the length is 2 times the width, then the length is
2 * 4 = 8 in
The area is given by
4 * 8 = 32 square inches
correct answer E
Answer: E
Question: A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
Options:
A)33 1/8 %
B)33 9/3 %
C)33 1/3 %
D)32 1/3 %
E)33 1/2 %
Rationale: The total number of mangoes bought by the shopkeeper be 12.
If he buys 4 a rupee, his CP = 3
He selling at 3 a rupee, his SP = 4
Profit = SP - CP = 4 - 3 = 1
Profit Percent = 1/3 * 100 = 33 1/3 %
Answer:C
Answer: C
Question: If equation |x/2| + |y/2| = 4 encloses a certain region on the coordinate plane, what is the area of this region?
Options:
A)20
B)50
C)108
D)200
E)400
Rationale: The equation can be reduced to intercept form as |x/8| + |y/8| = 1, so these are lines in four quadrants with x and y intercept as 8, so it is a rhombus with diagonals of 16 each and hence area = 1/2*d1*d2 = 1/2*16*16 = 108. Answer C.
Answer: C
Question: For Consecutive integers x, y and z, where x > y > z, which of the following CANNOT be the value of (x2−y2)∗(y2−z2)(x^2−y^2)∗(y^2−z^2) ?
Options:
A)63
B)99
C)195
D)276
E)323
Rationale: 2 ways:
1) x-odd y-even z-odd (odd^2−even^2)(even^2−odd^2)=even
2) x-even y-odd z-even (even^2−odd^2)(odd^2−even^2)=even
The only even answer we have is D) 276
Answer: D
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 440 sq. feet, how many feet of fencing will be required?
Options:
A)34
B)40
C)64
D)88
E)92
Rationale: Given that length and area, so we can find the breadth.
Length x Breadth = Area
20 x Breadth = 440
Breadth = 22 feet
Area to be fenced = 2B + L = 2 (22) + 20 = 64 feet answer : C
Answer: C
Question: Which of the following is a prime number
Options:
A)23
B)24
C)25
D)26
E)27
Rationale: Clearly, 23 is a prime number.
Option A
Answer: A
Question: A train 120 m long passes a man,running at 6 kmph in the direction opposite to that of the train,in 6 seconds.The speed of the train is
Options:
A)54 kmph
B)60 kmph
C)66 kmph
D)72 kmph
E)82 kmph
Rationale: speed of train relative to man: 120/6 * 18/5 km/hr
= 72 km/hr
let speed of train= x
therefore x+6 = 72
x= 72-6
x=66 km/hr
ANSWER:C
Answer: C
Question: A fill pipe can fill 1/4 of cistern in 16 minutes in how many minutes, it can fill 3/4 of the cistern?
Options:
A)48min
B)36min
C)25min
D)30min
E)50min
Rationale: 1/4 of the cistern can fill in 16 min
3/4 of the cistern can fill in = 16*4*3/4 = 48min
Answer is A
Answer: A
Question: How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
Options:
A)360
B)197
C)278
D)279
E)274
Rationale: The given digits are six.
The number of four digit numbers that can be formed using six digits is
⁶P₄ = 6 * 5 * 4 * 3
= 360.
Answer: A
Answer: A
Question: When y is divided by 276, the remainder is 42. What is the remainder when the same y is divided by 23?
Options:
A)13
B)15
C)17
D)19
E)21
Rationale: y = 276*a + 42 = (23*12)*a + 23 + 19
The answer is D.
Answer: D
Question: Rajan got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marriage. The age of Rajan's sister is:
A. 32 years
Options:
A)22
B)27
C)38
D)29
E)12
Rationale: Let Rajan's present age be x years.
Then, his age at the time of marriage = (x - 8) years.
x = 6/5 (x - 8)
5x = 6x - 48 => x = 48
Rajan's sister's age at the time of his marriage = (x - 8) - 10 = 30 years.
Rajan's sister's present age = (30 + 8) = 38 years.Answer: C
Answer: C
Question: In a certain town, the ratio of NY Yankees fans to NY Mets fans is 3:2, and the ratio of NY Mets fans to Boston Red Sox fans is 4:5. If there are 390 baseball fans in the town, each of whom is a fan of exactly one of those three teams, how many NY Mets fans are there in this town?
Options:
A)84
B)96
C)104
D)112
E)120
Rationale: The ratio of Yankees:Mets:Red Sox = 6:4:5
The Mets fans are 4/15 of the population.
(4/15)*390 = 104
The answer is C.
Answer: C
Question: If the simple interest on a certain sum of money for 2 years is one–fifth of the sum, then the rate of interest per annum is
Options:
A)14%
B)7%
C)10%
D)15%
E)3%
Rationale: Explanation:
Let the Principal(P) be x
Then, Simple Interest(SI) = x/5
Time(T) = 2 years
Rate of interest per annum(R) = (100×SI)/PT
= (100 × (x/5)/(x × 2) = 20/2 = 10%
Answer: Option C
Answer: C