divelab/Sys2Bench huggingface dataset:
Question: A train travels from station A to station B. If it travels at a speed of 100 miles per hour, it ends up reaching the station 30 minutes late. If it travels at 110 miles per hour, it reaches the station 15 minutes early. What is the amount of time that the train is scheduled to take for the journey and what is the distance between the stations?
Options:
A)	2 hours, 225 miles
B)	3 hours, 350 miles
C)	4 hours, 450 miles
D)	5 hours, 550 miles
E)	8 hours, 850 miles
Rationale: Let t be the usual time and x be the distance between AB. So we need to find t and Distance x. The question gives us 2 combinations of speedtime, but the distance remains the same for both condition.
Equation 1 - x= 100 (t+.5) (converted 30 mins into hr) added .5 hrs because it is late or took more time than usual.
Equation 2 - x= 110 (t-.25) subtracted .25 hrs because it is early or took less time than usual.
Now equating 12 we get 100(t+.5)=120(t-.25)
=> 10t +5 = 11t - 3
=> t=8 => t= 8 hrs.
Hence x= 100(8+.5) =>100 X 8.5 => 850 miles.
Hence correct answer E
Answer: E
Question: Ed throws a blue die and a red die. How many combinations are there in which the two dice do not yield the same result and the sum of the results is not 9?
Options:
A)10
B)24
C)26
D)30
E)36
Rationale: Total number of combination is 6*6 = 36..
Condition 1: we shouldn't get the same number... (1,1)(2,2)(3,3)(4,4)(5,5)(6,6) - 6 combinations.
condition 2: We shouldn't get the 9 as the sum (4,5)(5,4)(3,6)(6,3) - 4 combinations...
Total = 36 - 10 = 26.
ANS option C.
Answer: C
Question: A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the begining and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the additional men, how many days behind schedule would it be finished?
Options:
A)1
B)5
C)7
D)8
E)2
Rationale: Explanation:
\inline \fn_jvn [(100\times 35)+(200\times 5)] men can finish the work in 1 day
\inline \fn_jvn \therefore 4500 men can finish the work in 1 day. 100 men can finish it in \inline \fn_jvn \frac{4500}{100} = 45 days.
This is 5 days behind Schedule
Answer: B
Answer: B
Question: A goods train runs at the speed of 72 kmph and crosses a 280 m long platform in 26 seconds. What is the length of the goods train?
Options:
A)230 m
B)270m
C)240m
D)832m
E)270m
Rationale: Speed =	(72 x	5/18)m/sec	= 20 m/sec.
Time = 26 sec.
Let the length of the train be x metres.
Then,	x + 280/26	= 20
x + 280 = 520
x = 240.
Answer:C
Answer: C
Question: In one year, the population, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the population was 7920, what was it in the beginning?
Options:
A)8002
B)8000
C)2869
D)2790
E)2760
Rationale: x*110/100 * 90/100 = 7920
X*0.99=7920
X=7920/0.99
=> 8000
Answer:B
Answer: B
Question: Two cyclist start from the same places in opposite directions. One is going towards north at 10kmph and the other is going towards south 25kmph. What time will they take to be 50km apart?
Options:
A)1.42hr
B)2.22hrs
C)3.24hrs
D)5hrs
E)6.02hrs
Rationale: To be (10+25) km apart, they take 1 hour
To be 50 km apart, they take 1/35*50 = 1.42 hrs
Answer is A
Answer: A
Question: A started a business with 4500 and another person B joined after some period with 3000. Determine this period after B joined the business if the profit at the end of the year is divided in the ratio 2 : 1
Options:
A)After 3 months
B)After 4 months
C)After 6 month
D)After 2 1⁄2 months
E)None of these
Rationale: Let B joined after x months.
Then, 4500 × 12 : 3000 (12 – x) = 2 : 1
Ratio of their investments
4500×12/3000(12−x)=21=21 ⇒ x = 3
Answer A
Answer: A
Question: If J is the least positive integer that is divisible by every integer from 10 to 15 inclusive, then J/26 is =
Options:
A) 1155
B) 2310
C) 4620
D) 30030
E) 60060
Rationale: The integer should be divisible by: 10, 11, 12, 13, 14 and 15, that is 5*2, 11, 3*2^2, 13, 2*7, and 3*5. The least common multiple of these integers is the product of 13, 11, 7, 5, 3 and 2^2. Then, R/26 is (13 * 11 * 7 * 5 * 3 * 2^2)/2 * 13 = 11*7*5*3*2 = 2310.
Answer: B.
Answer: B
Question: Naomi was ordering yarn from a discount web site. If she ordered more than $50 worth of
yarn labeled “discountable”, she could take an extra 10% from the price of that yarn. Only
some of the yarn she ordered was eligible for the discount. Here is what Naomi ordered:
2 skeins at $2.50 per skein (not discountable)
8 skeins at $8.40 per skein (discountable)
7 skeins at $5.99 per skein (discountable)
Tax is 5% and shipping is 8%. How much did Naomi pay for her yarn?
Options:
A)$116.64
B)$216.64
C)$316.64
D)$416.64
E)$516.64
Rationale: 8 x $8.40 = $67.20 (All money is rounded to hundredths at each step.)
7 x $5.99 = $41.93
$67.20 + $41.93 = $109.13 discountable
$109.13 x .10 = $10.91 (rounded)
$109.13 - $10.91 = $98.22 for discounted yarn
2 x $2.50 = $5.00 for un-discounted
$98.22 + $5.00 = $103.22 cost of yarn
$103.22 x 1.13 = $116.64 with tax and shipping
(5% + 8% = 13%)
correct answer A
Answer: A
Question: A rectangular tiled patio is composed of 50 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 50 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout?
Options:
A)5
B)6
C)10
D)13
E)28
Rationale: r*c=50 and (6+4)(7-2)=50 --> r=6 and c=7.
Answer: B.
Answer: B
Question: How many ways can Jason sit with his five friends in a row of six seats with an aisle on either side of the row, if Jason insists on sitting next to one of the aisles?
Options:
A)120
B)240
C)360
D)540
E)720
Rationale: Jason can select his seat in 2 Ways (two aisles)
His 1st of 4 friends have 5 seats to select =>
His 2nd of remaining 3 friends will have 4 seat to chose from...and so on
Total ways => 2*5*4*3*2*1 = 240
ANS:B
Answer: B
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Options:
A)20/8 sec
B)22/7 sec
C)20/7 sec
D)20/2 sec
E)30/7 sec
Rationale: They are moving in opposite directions, relative speed is equal to the sum of their speeds.
Relative speed = (54 + 72)*5/18 = 7*5
=35 mps.
The time required = d/s
= 100/35
=20/7 sec.
Answer:C
Answer: C
Question: A sum of Rs. 125000 amounts to Rs. 15500 in 4 years at the rate of simple interest. What is the rate of interest?
Options:
A)7%
B)8%
C)3%
D)6%
E)1%
Rationale: S.I. = (15500 - 12500) = Rs. 3000\
Rate = (100 * 3000) / (12500 * 4) = 6%
Answer: D
Answer: D
Question: If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive ?
Options:
A)Rs.980
B)Rs.228
C)Rs.900
D)Rs.287
E)Rs.921
Rationale: Let 4A = 6B = 1OC = k. Then, A = k/4, B = k/6, and C =k/10 .
A : B :C = k/4 : k/6 : k/10 = 15 : 10 : 6.
Hence, C's share (4650 * 6/31) = Rs, 900.
Answer: C
Answer: C
Question: Rabin has 3 cows in his farm. If he he decide to arrange the cows in every possible combination and moved just one cow every 5 minute, how long would it taken by him ?
Options:
A)12 minutes
B)15 minutes
C)40 minutes
D)10 minutes
E)30 minutes
Rationale: Explanation:
Clearly, number of ways of arranging 3 cows = 3 ! = 3 x 2 x 1 = 6.
So, total time taken = 6*5 minutes = 30 minutes
Answer: E
Answer: E
Question: A rainstorm increased the amount of water stored in State J reservoirs from 160 billion gallons to 200 billion gallons. If the storm increased the amount of water in the reservoirs to 50 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?
Options:
A)240
B)250
C)260
D)270
E)300
Rationale: Let total capacity be x
we know 200 = 0.50x
x = 200/0.50 = 400
Prior to storm, we had 160 bn gallons
400-160 = 240
Answer : A
Answer: A
Question: A courtyard is 25 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is
Options:
A)16000
B)18000
C)20000
D)22000
E)24000
Rationale: Explanation:
Number of bricks =Courtyard area/1 brick area
=(2500×160020×10)=20000
Answer: Option C
Answer: C
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 100 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 2 units?
Options:
A)140 sq.units
B)158 sq.units
C)8 sq.units
D)607 sq.units
E)815 sq.units
Rationale: Given that the area of the square = 100 sq.units
=> Side of square = √100= 10 units
The radius of the circle = side of the square = 10 units
Length of the rectangle = 2/5 * 10 = 4 units
Given that breadth = 2 units
Area of the rectangle = lb = 4 * 2 = 8 sq.units
Answer: C
Answer: C
Question: If the wheel is 18 cm then the number of revolutions to cover a distance of 1056 cm is?
Options:
A)18
B)26
C)14
D)12
E)9.3
Rationale: 2 * 22/7 * 18 * x = 1056 => x
= 9.3
Answer: E
Answer: E
Question: Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store's revenues from newspapers sales was from Newspaper A and if j percent of the newspapers that the store sold were copies of Newspaper A, which of the following expresses r in terms of j?
Options:
A)100p / (125 - p)
B)150p / (250 - p)
C)300p / (375 - p)
D)400j / (500 - j)
E)500p / (625 - p)
Rationale: I have just started with qunats section .. I solved this by making two equations and got the answer ... However it was long way of doing it ...
I got the answer as : 100j /(125 - .25 j)...
Multiply this equation by 4 and you get D as the answer ,...
Answer: D
Question: A boat can move upstream at 14 kmph and downstream at 18 kmph, then the speed of the current is?
Options:
A)5
B)6
C)8
D)4
E)2
Rationale: US = 14
DS = 18
M = (18 - 14)/2 = 2 Answer:E
Answer: E
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
Options:
A)35 years
B)40 years
C)50 years
D)60 years
E)None of these
Rationale: Explanation:
Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.
Sum of the present ages of wife and child = (20 x 2 + 5 x 2) years = 50 years.
Husband's present age = (90 - 50) years = 40 years.
ANSWER IS B
Answer: B
Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
A)27
B)28
C)29
D)26
E)25
Rationale: Explanation:
The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (126 – 99 ) = 27
Answer: A
Answer: A
Question: In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 14500 at 15% p.a.?
Options:
A)19.33 years
B)18.33 years
C)17.33 years
D)16.33 years
E)15.33 years
Rationale: T = (100 * 14500)/(15 * 5000) = 19.33 years
ANSWER:A
Answer: A
Question: A playstation is available for $39000 cash or $17000 as down payment followed by five equal monthly instalments of $4800 each. The simple rate of interest per annum under the instalment plan would be
Options:
A)18%
B)19%
C)21.2%
D)21.81%
E)22.07%
Rationale: Simple interest SI = (P*R*T)/100
where P is the principal amount
R is the rate of interest
and T is time in years
the way I see it:playstation on down payment of 17,000, customer is not paying any interest. it is the remaining sum which will be paid for 5 months that will bear an interest. Therefore, the principal amount for which interest is being charged is 39,000 - 17,000 = 22,000
For this 22,000 a total sum of 5*4800 = 24,000 was pain. (Time is five months, so T = 5/12, as T is in years.)
thus, SI = 2000 or
2000 = (P*R*T)/100
2000 = (22,000*R*5)/(100*12)
R = (2,000*12*100)/22,000*5
R = 21.81%
Therefore answer is D
Answer: D
Question: 2+2^2+2^+......+2^9=?
Options:
A)2044
B)1022
C)1056
D)1065
E)None of them
Rationale: This is a G.P. in which a=2, r=2^2/2=2 and n=9
S^n=a(r^n -1)/(r-1)
=2x(2^9-1)/(2-1)
=2x(512-1)=2x511
=1022
Answer is B
Answer: B
Question: 40 persons like apple. 7 like orange and mango dislike apple. 10 like mango and apple and dislike orange. 3 like all. How many people like apple?
Options:
A)47
B)46
C)54
D)58
E)62
Rationale: orange+mango-apple=7
mango+apple-orange=10
apple=40
orange+mango+apple=3
40+10+3-7=46 like apple
ANSWER:B
Answer: B
Question: Andy solves problems 74 to 135 inclusive in a Math exercise. How many problems does he solve?
Options:
A)53
B)62
C)51
D)50
E)49
Rationale: 135-74+1= 62
'B' is the answer
Answer: B
Question: An woman swims downstream 64 km and upstream 24 km taking 8 hours each time; what is the speed of the current?
Options:
A)1.6
B)1.8
C)3.5
D)1.5
E)2.5
Rationale: 64 --- 8 DS = 8
? ---- 1
24 ---- 8 US = 3
? ---- 1 S = ?
S = (8 - 3)/2 = 2.5
Answer: E
Answer: E
Question: The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?
Options:
A)20%
B)19%
C)15%
D)12%
E)24%
Rationale: Answer: Option D
100 * 100 = 10000
80 * 110 = 8800
10000------- 1200
100 ------- ? = 12%
Answer: D
Question: The average weight of a group of boys is 30 kg. After a boy of weight 35 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 35 kg joins the group, total weight of boys = 30x + 35
So 30x + 35 + 31(x + 1) = > x = 4.
Answer: A
Answer: A
Question: In a 1000 m race, A beats B by 50 m and B beats C by 20 m. In the same race, by how many meters does A beat C?
Options:
A)A)69m
B)B)829m
C)C)822m
D)D)929m
E)E)132mj
Rationale: By the time A covers 1000 m, B covers (1000 - 50) = 950 m.
By the time B covers 1000 m, C covers (1000 - 20) = 980 m.
So, the ratio of speeds of A and C =
1000/950 * 1000/980 = 1000/931 So, by the time A covers 1000 m, C covers 931 m.
So in 1000 m race A beats C by 1000 - 931 = 69 m.
Answer:A
Answer: A
Question: A horse is tethered to one corner of a rectangular grassy field 36 m by 20 m with a rope 12 m long. Over how much area of the field can it graze?
Options:
A)154 cm2
B)113 m2
C)123 m2
D)115 m2
E)None of these
Rationale: Area of the shaded portion
= 1⁄4 × π × (12)2 = 113 m2
Answer B
Answer: B
Question: If x and y are positive integers and 12x=21y what is the least possible value of xy?
Options:
A) 9
B) 28
C) 63
D) 84
E) 252
Rationale: 12x=21y
=> x/y = 7/4
=> 4x=7y
4(3)=7(3) => x*y=9
A
Answer: A
Question: Average of five numbers is 9, and the sum of three of the numbers is 30, what is the average of the other 2 numbers?
Options:
A)17
B)15.5
C)8.5
D)7.5
E)3.5
Rationale: Let the five numbers be a, b, c, d, e. Then their average is (a+b+c+d+e)/5=9a+b+c=30(30+d+e)/5=930+d+e=45d+e=15average=15/2=7.5Ans D
Answer: D
Question: In a survey of 340 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. If a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured?
Options:
A)7/12
B)8/41
C)39/68
D)1/8
E)41/91
Rationale: ---------UI----------------NUI-------Total
PT----(12.5/100)*104 = 13----------- --54
NPT---104-13-------------- x--------286
Total--104----------------------------340
we have to find not part time and not uninsured . in other words not part time and insured = x/340 = (286-104+13)/340
= 39/68
Answer is C.
Answer: C
Question: From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is?
Options:
A)1/26
B)1/25
C)1/87
D)1/17
E)1/12
Rationale: Let E1 be the event of drawing a red card.
Let E2 be the event of drawing a king .
P(E1 ∩ E2) = P(E1) . P(E2)
(As E1 and E2 are independent)
= 1/2 * 1/13 = 1/26
Answer:A
Answer: A
Question: A table is bought for Rs.600/- and sold at a loss of 8% find its selling price
Options:
A)s.500/-
B)s.552/-
C)s.540/-
D)s.600/-
E)s.700/-
Rationale: 100 % ------> 600 (100 * 6 = 600)
92 % ------> 552 (92 * 6 = 552)
Selling price = Rs.552/-
B
Answer: B
Question: 19 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men?
Options:
A)32
B)87
C)38
D)99
E)77
Rationale: 3W = 2M
19M ------ 21 * 8 hours
21 W ------ x * 6 hours
14 M ------ x * 6
19 * 21 * 8 = 14 * x * 6
x = 38
Answer: C
Answer: C
Question: If 40 honey bees make 40 grams of honey in 40 days, then 1 honey bee will make 1 gram of honey in how many days?
Options:
A)1
B)3.5
C)40
D)49
E)30
Rationale: Explanation :
Let the required number days be x.
Less honey bees, More days (Indirect Proportion)
Less honey, Less days (Direct Proportion)
Honey bees 1 : 40 :: 40 : x
Honey 40 : 1
=> 1 x 40 x x = 40 x 1 x 40
=> x = 40.
Answer : C
Answer: C
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is?
Options:
A)4:6
B)4:3
C)4:9
D)4:4
E)4:2
Rationale: Let us name the trains A and B.
Then, (A's speed) : (B's speed)
= √b : √a = √16 : √9 = 4:3.Answer: B
Answer: B
Question: If s is the product of the integers from 50 to 60 inclusive, and if t is the product of the integers from 50 to 61 inclusive, what is 1/s + 1/t in terms of t?
Options:
A)32/t
B)42/t
C)52/t
D)62/t
E)72/t
Rationale: Similarly in the actual problem
s =t/61. 1/s = 1/(t/61) or 1/s = 61/t
1/s + 1/t = 61/t + 1/t = 62/t
D
Answer: D
Question: By selling 20 pencils for a rupee a man loses 35%. How many for a rupee should he sell in order to gain 30%?
Options:
A)8
B)9
C)6
D)14
E)10
Rationale: 65% --- 20130% --- ?65/130 * 20 = 10Answer: E
Answer: E
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Options:
A)30/83 hours
B)80/13 hours
C)30/13 hours
D)30/19 hours
E)32/13 hours
Rationale: Speed downstream = 20 + 6 = 26 kmph.
Time required to cover 60 km downstream
= d/s = 60/26
= 30/13 hours.
Answer:C
Answer: C
Question: If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?
Options:
A)33
B)21
C)92
D)12
E)25
Rationale: Explanation:
Given that, cost price of 50 article is equal to selling price of 40 articles.
Let cost price of one article = Rs. 1
Selling price of 40 articles = Rs. 50
But Cost price of 40 articles = Rs. 40
Therefore, the trader made profit.\Percentage of profit = 10/40 * 100 = 25%
Answer:E
Answer: E
Question: The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
Options:
A)432
B)456
C)546
D)258
E)277
Rationale: 2(3x + x)
= 96
l = 36
b = 12
lb = 36 * 12
= 432
Answer: A
Answer: A
Question: I bought two books; for Rs.360. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Options:
A)197
B)210
C)189
D)278
E)268
Rationale: x*(85/100)
= (360 - x)119/100
x = 210
Answer: B
Answer: B
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is?
Options:
A)1/0
B)1/3
C)1/5
D)1/2
E)1/1
Rationale: 10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!
Required probability = 1/5
Answer: C
Answer: C
Question: Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
Options:
A)39,30
B)41,32
C)42,33
D)43,34
E)35,36
Rationale: Let their marks be (x + 9) and x.
then x+9 = 56/100(x+9+x)
3x=99
x=33
their marks 42 and 33
ANSWER C
Answer: C
Question: Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
Options:
A)2400 m^2
B)2420 m^2
C)2520 m^2
D)2640 m^2
E)2750 m^2
Rationale: Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) m2 = 2520 m^2
C
Answer: C
Question: What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
Options:
A)3:6
B)3:4
C)3:2
D)3:1
E)3:7
Rationale: d = 3d d = d
a√2 = 3d a√2 = d
a = 3d/√2 a = d/√2
=> 3:1
Answer: D
Answer: D
Question: If x is an integer, then x(x - 1)(x - n) must be evenly divisible by three when n is any of the following values EXCEPT
Options:
A)-4
B)-2
C)-1
D)2
E)5
Rationale: here's another approach
x(x - 1)(x - n)
all three are consecutive, so the product MUST be a multiple of 3
we don't know the value of n just yet ... so let's extend the series ... the extension itself reveals the answers
..(x-5)..(x-2)(x-1)x(x+1)..(x+4)..
we can see the possible values of n too from the series
n = 2 OR 2+3n [25]
n = -1 OR -1+3n [-1-4]
B i.e. -2 does not fit in any value of n
so B it is
Answer: B
Question: The parameter of a square is equal to the perimeter of a rectangle of length 7.5cm and breadth 6.5 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
Options:
A)10.2
B)10.27
C)10.23
D)10.21
E)10.25
Rationale: Let the side of the square be a cm.
Parameter of the rectangle = 2(7.5+ 5.5) = 26 cm Parameter of the square = 26 cm
i.e. 4a = 26
a = 6.5
Diameter of the semicircle = 6.5 cm
Circimference of the semicircle
= 1/2(âˆ)(6.5)
= 1/2(22/7)(6.5) = 143/14 = 10.21 cm to two decimal places
Answer: D
Answer: D
Question: A group of 7 fishermen chartered a boat for a day to fish for flounder. The boat costs x dollars per day to rent. If the group can find 3 more fishermen on the docks who are willing to come aboard and share the rental costs, how much less will the rental cost be per person in terms of x?
Options:
A)x/70
B)x/35
C)3x/70
D)3x/10
E)3x/7
Rationale: cost of boat per day = x
cost per person =x/7
if three more persons afre there, cost =x/10
difference = x/7-x/10
=3x/70
ANSWER:C
Answer: C
Question: A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is ?
Options:
A)7/19
B)7/14
C)7/98
D)7/18
E)7/15
Rationale: Drawing two balls of same color from seven green balls can be done in ⁷C₂ ways.
Similarly from eight white balls two can be drawn in ⁸C₂ ways.
P = ⁷C₂/¹⁵C₂ + ⁸C₂/¹⁵C₂
= 7/15
Answer: E
Answer: E
Question: At what rate percent on simple interest will Rs.1750 amount to Rs.2000 in 4 years?
Options:
A)4 %
B)3.57 %
C)2 6/7 %
D)5 %
E)6 %
Rationale: Explanation:
250 = (1750x4xR)/100
R = 3.57 %
Answer: Option B
Answer: B
Question: The largest 4 digit number exactly divisible by 55 is?
Options:
A)9935
B)9939
C)9944
D)9955
E)9960
Rationale: Largest 4-digit number = 9999
55) 9999 (181
9955
Answer : D
Answer: D