divelab/Sys2Bench huggingface dataset:
Question: We have 10 people and 3 chairs. In how many ways chairs can be occupy?
Options:
A)650
B)720
C)810
D)790
E)915
Rationale: no. of ways they can be occupy = 10*9*8 = 720
Answer is B
Answer: B
Question: In a certain appliance store, each model of television is uniquely designated by a code made up of a particular ordered pair of letters. If the store has 80 different models of televisions, what is the minimum number of letters that must be used to make the codes?
Options:
A)6
B)7
C)9
D)8
E)10
Rationale: If n is the number of distinct letters used to create the two lettered codes, then a total of n∗n=n^2 different codes can be created. We need n2≥80. The smallest n which fulfills this condition is n = 9.
Answer C
Answer: C
Question: A taxi leaves Point A 2 hours after a bus left the same spot. The bus is traveling 20 mph slower than the taxi. Find the speed of the taxi, if it overtakes the bus in two hours.
Options:
A)42
B)48
C)44
D)50
E)40
Rationale: Let the speed of bus be v - 20, speed of taxi be v
The bus travelled a total of 4 hrs and taxi a total of 2 hrs.
Hence 4 * (v-20) = 2v
4v - 80 = 2v
2v = 80
v = 40 mph
E
Answer: E
Question: X, Y, and Z are different prime numbers. The product X^2*Y^2*Z^2 is divisible by how many different positive numbers?
Options:
A)9
B)18
C)27
D)36
E)45
Rationale: The exponents of X^2*Y^2*Z^2 are 2, 2, and 2.
The number of factors is (2+1)(2+1)(2+1) = 27
The answer is C.
Answer: C
Question: 75% of the guestrooms at the Stagecoach Inn have a queen-sized bed, and each of the remaining rooms has a king-sized bed. Of the non-smoking rooms, 60% have a queen-sized bed. If 20% of the rooms at the Stagecoach Inn are non-smoking rooms with king-sized beds, what percentage of the rooms permit smoking?
Options:
A)25%
B)30%
C)50%
D)55%
E)75%
Rationale: Let x be the number of non-smoking rooms.
Let N be the total number of rooms at the inn.
40% of non-smoking rooms have a king-sized bed.
0.4x = 0.2N
x = 0.5N
The percentage of rooms which permit smoking is 1 - 0.5 = 50%
The answer is C.
Answer: C
Question: Right triangle ABC is the base of the prism in the figure above. If AB=AC=âˆš10 and the height of the prism is 4, what is the volume of the prism?
Options:
A)40
B)85
C)20
D)60
E)45
Rationale: Volume of prism = Area of base * height = 1/2* (square root of 10) * (square root of 10)*4= 20
Answer: C
Answer: C
Question: Jacob bought a scooter for a certain sum of money.He spent 10% of the cost on repairs and sold the scooter for a profit of Rs.1100. How much did he spend on repairs if he made a profit of 20% ?
Options:
A)Rs.400
B)Rs.440
C)Rs.500
D)Rs.550
E)Rs.650
Rationale: Total Profit = Rs. 1100.
%Profit = 20.
20% = 1100,
So,
100% = 5500.
Rs. 5500 would be the cost price for Jacob.
He spends 10% on repairing. So,
Initial Cost + Repair Cost = 5500.
Let Initial Cost was X. then
X + 10% of X = 5500
1.1X = 5500
X = 5500/1.1
X = 5000.
The initial cost price was Rs. 5000. Thus, he spends Rs. 500 on repairing.
ANSWER : OPTION C
Answer: C
Question: Two trains running in opposite directions cross a man standing on the platform in 25 seconds and 18 seconds respectively and they cross each other in 20 seconds. The ratio of their speeds is:
Options:
A)3 : 1
B)3 : 2
C)3 : 8
D)2 : 5
E)3 : 4
Rationale: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 25 x meters, and length of the second train = 18 y meters. (25 x + 18 y) / (x + y) = 20 ==>
25 x + 18 y = 20 x + 20 y ==> 5 x = 2 y ==> x/y = 2/5
Answer: Option D
Answer: D
Question: How many 3 digit positive integers Q exist that when divided by 7 leave a remainder of 5?
Options:
A)128
B)142
C)143
D)141
E)129
Rationale: Minimum three digit number is 100 and maximum three digit number is 999.
The first three digit number that leaves remainder 5 when divided by 7 is 103.
14 * 7 = 98 +5 = 103
The second three digit number that leaves remainder 5 when divided by 7 is 110.
15 * 7 = 105 +5 =110
The third three digit number that leaves remainder 5 when divided by 7 is 117
and so on
The last three digit number that leaves remainder 5 when divided by 7 is 999
142 * 7 = 994 + 5 = 999
Therefore, we identify the sequence
103,110,117.....999
use the formula of last term
Last term = first term + (n - 1) * common difference
you will get the answer 129 that is definitely E.
Answer: E
Question: A man invests Rs. 4,000 at the rate of 5% per annum. How much more should he invest at the rate of 8%, so that he can earn a total of 6% per annum?
Options:
A)Rs. 1200
B)Rs. 1300
C)Rs. 1500
D)Rs. 2000
E)None of these
Rationale: Explanation :
Interest on Rs.4000 at 5% per annum = ( 4000 × 5 × 1) / 100 = Rs. 200
Let his additional investment at 8% = x
Interest on Rs.x at 8% per annum = ( x × 8 × 1 ) / 100 = 2x/25.
To earn 6% per annum for the total, interest = (4000 + x) × 6 × 1/100.
=> 200 + 2x/25 = (4000 + x) × 6 × 1/100.
=> 20000 + 8x = (4000 + x) × 6.
=> 20000 + 8x = 24000 + 6x.
=> 2x=4000.
=> x=2000.
Answer : D
Answer: D
Question: 96% of 5/8 =
Options:
A)0.2
B)0.5
C)0.6
D)0.75
E)1.0
Rationale: Should be simple.
0.96*5/8 = 4.8/8 = 0.6
Correct Option : C
Answer: C
Question: A man travelled from the village to the post office at the rate of 10kmph and walked backed at the rate of 5 kmph. If the whole journey took 3hours, find the distance of the post office from the village?
Options:
A)10km
B)15km
C)20km
D)25km
E)30km
Rationale: Average speed = 2xy/x+y = 2*10*5/10+5 = 20/3km/hr
Distance travelled in 3hours = 20/3 * 3 = 20km
Distance of the post office from the village = 20/2 =10km
Answer is A
Answer: A
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)7/17
C)7/18
D)7/11
E)7/15
Rationale: Drawing two balls of same color from seven green balls can be done in ways.
Similarly from eight white balls two can be drawn in ways.
7/15
Answer: E
Answer: E
Question: In two triangle, the ratio of the areas is 4:3 and that of their heights is 3:4 the ratio of their bases is
Options:
A)16:9
B)9:16
C)9:12
D)16:12
E)4:12
Rationale: Explanation:
Given a1/a2 =4/3, h1/h2=3/4
also, we know that
a1/a2=(1/2×b1×h1)/(1/2×b2×h2)
on substituting in above equation, we get
b1/b2= 16/9
therefore b1:b2= 16:9
Answer: Option A
Answer: A
Question: seven friends met for lunch at an expensive restaurant, and everyone decided to contribute equally to the total bill of $530. If one of the friends had a coupon for 32% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
Options:
A)$90
B)$70
C)$51
D)$37
E)$35
Rationale: 530 * 0,32 = 169
530 - 169 = 361
361 / 7 = 51
Answer C
Answer: C
Question: If a traveller was offered 5 city in asia and 11 city in europe and asked to chose atleast 3 city in asia and overall a 11 city. How many ways can he travel
Options:
A)2854
B)2958
C)3156
D)3762
E)6835
Rationale: 5c3*11c8+5c4*11c7+5c5*11c6=3762 ways
ANSWER:D
Answer: D
Question: A trader sells 2 oranges per rupee, calculate the profit loss percentage if the trader bought the oranges at 3 per rupee.
Options:
A)22 %
B)55 %
C)35 %
D)40 %
E)50 %
Rationale: Let he total number of oranges bought by the shopkeeper be 12.
If he buys 3 a rupee, his CP = 2
He selling at 2 a rupee, his SP = 3
Profit = SP - CP = 3 - 2 = 1
Profit Percent = 1/2 * 100 = 50 %
Answer: E
Answer: E
Question: An eccentric casino owner decides that his casino should only use chips in $3 and $5 denominations. Which of the following amount cannot be paid out using these chips?
Options:
A)$19
B)$21
C)$14
D)$9
E)$11
Rationale: Yes, the number of 3 or/and 5 dollar chips can be zero, however both being zero mean that the casino is paying out $0, which is not realistic.
Each option but E can be represented as the sum of a multiple of 3 and a multiple of 5:
A. $19 = 3*3 + 5*2
B. $21 = 3*2 + 5*3
C. $14 = 3*3 + 5*1
E. $9 = 3*3
Answer: E.
Answer: E
Question: An airplane travels 4362 km against the wind in 6 hours and 5322 km with the wind in the same amount of time. What is the rate of the plane in still air?
Options:
A)344 km/hr
B)767 km/hr
C)807 km/hr
D)908 km/hr
E)555 km/hr
Rationale: Let the speed of the air plane in still air be x km/hr
And the speed of the wind be y km/hr.
Then speed of the airplane going with the wind = (x + y) km/hr
and speed of the airplane going against the wind = (x - y) km/hr.
We know that,
Distance = Speed ? Time
or, Speed = Distance
Time
According to the problem,
An airplane travels 4362 km against the wind in 6 hours
x - y = 4362/6
or, x - y = 727 ----------- (1)
Again, the airplane travels 5322 km with the wind in the same amount of time i.e. 6 hours
x + y = 5322/6
or, x + y = 887 ----------- (2)
Now add (1) and (2) we get,
x - y = 727
x + y = 887
2x = 1614
or, 2x/2 = 1614/2, (Divide both sides by 2)
or, x = 807
Now substitute the value of value of x = 807 in equation (2) we get,
807 + y = 887
-807 -807, (Subtract 407 from both sides)
y = 80
Answer: Rate of the plane in still air = 807 km/hr
correct answer C
Answer: C
Question: Which of the following describes all values of x for which 16-x^2 ≥ 0 ?
Options:
A)x ≥ 1
B)x ≤ -1
C)0 ≤ x ≤ 1
D)x ≤ -1 or x ≥ 1
E)-4 ≤ x ≤ 4
Rationale: 16-x^2 >= 0 ---> x^2-16<=0
--> (x+4)(x-4)<=0
Above equation true for
i) x+4<=0 and x-4>=0 ---> x<= -4 and x>=4 ---> this is not possible ---Strike out this solution
ii) x+4>=0 and x-4<=0 ---> x>=-4 and x<=4 --> -4<=x<=4
answer E
Answer: E
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 33 kmph. Of how many minutes does the train stop per hour?
Options:
A)73
B)83
C)16
D)83
E)28
Rationale: Explanation:
T = 12/45 * 60 = 16
Answer: Option C
Answer: C
Question: A tank is filled in SIX hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Options:
A)56 hours
B)28 hours
C)55 hours
D)66 hours
E)21 hours
Rationale: 1/A + 1/B + 1/C = 1/6 (Given)
Also given that A = 2B and B = 2C
=> 1/2B + 1/B + 2/B = 1/6
=> (1 + 2 + 4)/2B = 1/6
=> 2B/7 = 6
=> B = 21 hours.
Answer: E
Answer: E
Question: Kelly and Jody packed boxes with books. If Jody packed 80% of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number that Jody packed?
Options:
A)1 to 6
B)1 to 4
C)2 to 5
D)3 to 5
E)2 to 3
Rationale: Explanation:
If Jody packed 80% of the boxes then Kelly packed 20%. The ratio of the number of boxes Kelly packed to the number Jody packed is thus 20%/80%=1/4
Answer: Option B
Answer: B
Question: 65% of x = 20% of 552.50. Find the value of x?
Options:
A)100
B)170
C)150
D)180
E)199
Rationale: 65% of x = 20% of 552.50
Then, 65/100 * x = 20/100 * 5525/10
x = 170
Answer is B
Answer: B
Question: Jim’s Taxi Service charges an initial fee of $2.05 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?
Options:
A)$5.20
B)$4.45
C)$4.80
D)$5.05
E)$5.40
Rationale: Let the fixed charge of Jim’s Taxi Service = 2.05 $
and charge per 2/5 mile(.4 mile) = .35$
Total charge for a trip of 3.6 miles = 2.05 + (3.6/.4) * .35
= 2.05 + 9*.35
= 5.2 $
Answer A
Answer: A
Question: A person travels first 100km at 40km/hr and the next 100km at 60km/hr. The average speed for the first 200km of the tour is?
Options:
A)36km/hr
B)50km/hr
C)48km/hr
D)60km/hr
E)55km/hr
Rationale: Total time taken = 100/40 + 100/60 = 25/6 hrs
Average speed = 200*6/25 = 48km/hr
Answer is C
Answer: C
Question: The area of the largest circle that can be drawn inside a square of side 56 Cm in length is:
Options:
A)2464
B)2052
C)3201
D)4202
E)1200
Rationale: Radius of required circle = 28 Cm
its area = 22/7 × 28 × 28
88 × 28 = 2464 Cm(power)2
Answer is A.
Answer: A
Question: Number N is randomly selected from a set of all primes between 10 and 40, inclusive. Number D is selected from a set of all multiples of 5 between 10 and 40 inclusive. What is the probability that N+D is odd?
Options:
A) 1/2
B) 2/3
C) 3/4
D) 4/7
E) 5/8
Rationale: All primes except 2 are odd, thus N must be odd. For N + D = odd + D to be odd, D must be even.
There are 7 multiples of 5 between 10 and 40, inclusive: 10, 15, 20, 25, 30, 35, and 40. Out of them 3 (15, 25, and 35) are odd.
Therefore the probability that N + D is odd is 4/7.
Answer: D.
Answer: D
Question: What is the units digit of the product of the first 100 odd numbers?
Options:
A)1
B)3
C)0
D)5
E)7
Rationale: 1*3*5*7 ................... will end up in 5 in the units place
Answer : D
Answer: D
Question: A rectangular floor is covered by a rug except fo a strip q meters along each of the four edges. If the floor is m meters by n meteres, What is the area of the rug in square meters?
Options:
A)mn - p(m+n)
B)mn – 2p(m+n)
C)mn – p^2
D)(m - p)(n - p)
E)(m - 2q)(n - 2q)
Rationale: The answer must be E.
Plug in M 100
N 50
q 10=E
Answer: E
Question: Equal amount of water were poured into two empty jars of different capacities, which made one jar 1/5 full and other jar 1/4 full. If the water in the jar with lesser capacity is then poured into the jar with greater capacity, what fraction of the larger jar will be filled with water?
Options:
A)1/7
B)2/5
C)1/2
D)7/12
E)2/3
Rationale: Same amount of water made bigger jar 1/5 full, then the same amount of water(stored for a while in smaller jar) were added to bigger jar, so bigger jar is 1/5+1/5=2/5 full.
Answer: B.
Answer: B
Question: A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10% protein and food Y contains 15% protein. If the rabbit's diet provides exactly 39 grams of protein daily, how many grams of food X are in the mixture.
Options:
A)120
B)140
C)150
D)160
E)200
Rationale: Let x be the amount of food X.
0.1x + 0.15(300-x) = 39
0.05x = 6
x = 120
The answer is A.
Answer: A
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 13 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Options:
A)11
B)408
C)2881
D)287
E)221
Rationale: 1h ----- 5
? ------ 60
12 h
RS = 13 + 21 = 34
T = 12
D = 34 * 12 = 408
Answer:B
Answer: B
Question: Water boils at 212°F or 100°C and ice melts at 32°F or 0°C . If the temperature of a pot of water is 60°C, what is the temperature of the pot of water in °F?
Options:
A)132°F
B)140°F
C)148°F
D)156°F
E)164°F
Rationale: Let F and C denote the temperature in Fahrenheit and Celsius respectively.
(F - 32) /(212 - 32) = (C - 0)/(100 - 0)
F = 9C/5 + 32
F = 9(60)/5 + 32 = 140°F
The answer is B.
Answer: B
Question: A person invested in all Rs. 2600 at 4%, 6% and 8% per annum simple interest. At the end of the year, he got the same interest in all the three cases. The money invested at 4% is?
Options:
A)3477
B)2688
C)2699
D)1200
E)2671
Rationale: Let the parts be x, y and [2600 - (x + y)].
Then,
(x * 4 * 1)/100 = (y * 6 * 1)/100 = {[2600 - (x + y)] * 8 * 1}/100
y/x = 4/6 = 2/3 or y = 2/3 x
So, (x * 4 * 1)/100 = [(2600 - 5/3 x) * 80/100
52x = (7800 * 8) => x = 1200
Money invested at 4% = Rs. 1200.
Answer:D
Answer: D
Question: A bag contains 26 purple jellybeans, 15 green jellybeans, and 9 yellow jellybeans; these jellybeans are the only items in the bag. If a person picks a jellybean at random out of the bag, what is the probability that the jellybean will be yellow?
Options:
A)18%
B)20%
C)25%
D)30%
E)35%
Rationale: p = 26 , g=15 , y=9
total = 50
p(yellow)=(9/50)*100 = 18% . Ans = A
Answer: A
Question: In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?
Options:
A)72
B)80
C)120
D)100
E)150
Rationale: Let the number of students be x. Then,
Number of students above 8 years of age = (100 - 20)% of x = 80% of x.
80% of x = 48 +2/3of 48
(80/100)x = 80
x = 100.
ANSWER D
Answer: D
Question: A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
Options:
A)3/21
B)2/91
C)4/91
D)8/81
E)9/72
Rationale: Let S be the sample space.
Then, n(S)	= number of ways of drawing 3 balls out of 15
= 15C3
= (15*14*13)/(3*2*1)
= 455
Let E = event of getting all the 3 red balls
n(E) = 5C3 = 5C2 =(5*4)/(2*1)
= 10
P(E) =n(E)/n(S)
= 10/455
= 2/91
Answer should be B
Answer: B
Question: What is the remainder when the number R=14^2 * 15^8 is divided by 5?
Options:
A)0
B)1
C)2
D)4
E)5
Rationale: 14^2 has units digit 6
15^8 has units digit 5
Thus R=14^2*15^8 has units digit 0 and will be divisible by 5. The remainder will be zero
Answer: (A)
Answer: A
Question: In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 63 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp?
Options:
A)70
B)450
C)150
D)35
E)350
Rationale: Since 30% of the boys from school A study science, then 70% of the boys from school A do NOT study science and since 20% of the total number of boys are from school A, then 0.2*0.7 = 0.14, or 14% of the boys in the camp are from school A and do not study science.
We are told that this number equals to 63, so 0.14*{total} = 63 --> {total} = 450.
Answer: B.
Answer: B
Question: A researcher computed the mean, the median, and the standard deviation Y for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change?
Options:
A)The mean only
B)The median only
C)The standard deviation only
D)The mean and the median
E)The mean and the standard deviation
Rationale: If we add or subtract a constant to each term in a set the standard deviation Y will not change..
If we add (or subtract) a constant to each term in a set the mean and the median will increase (decrease) by the value of that constant.
Answer: D.
Answer: D
Question: In the coordinate plane, one of the vertices of a square is the point (-4, -4). If the diagonals of that square intersect at point (3, 2), what is the area of that square?
Options:
A)180
B)196
C)160
D)164
E)172
Rationale: One point (-4-4), Intersection (3,2) so the distance from the first point -4-3=-7 is the midpoint of the square --> whole side 14, 14*14=196
B
Answer: B
Question: In what time will a train 240 metres long cross an electric pole, if its speed be 126 km/hr?
Options:
A)6.75 sec
B)6.85 sec
C)6.55 sec
D)6.44 sec
E)7.85 sec
Rationale: Solution
Speed	= (126 x 5 /18) m/sec
= 35 m / sec
Time taken	= (240 /35) sec
= 6.85 sec.
Answer B
Answer: B
Question: The instructions state that Cheryl needs 5/9 square yards of one type of material and 1/3 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 8/24 square yards left that she did not use. What is the total amount of square yards of material Cheryl used?
Options:
A)1/12
B)1/9
C)2/3
D)5/9
E)2 1/9
Rationale: Total bought = 5/9+1/3
left part 8/24--->1/3
so used part 5/9+1/3-1/3=5/9
ANSWER:D
Answer: D
Question: If a is a positive even integer, and n and m are consecutive integers, then (n - m)^a/(m - n)^a =
Options:
A)-2
B)-1
C)0
D)1
E)2
Rationale: a= +ve even integer
Since,n and m are consecutive integers , their difference will be 1
((n-m)^a)/((m-n)^a)= ((n-m)/(m-n))^a = (-1)^a
Since we are raising the difference of n and m to power a , which is even , the answer will be 1 .
Answer D
Answer: D
Question: Convert the following unit:
7 hectares in mÂ²
Options:
A)50000 mÂ²
B)60000 mÂ²
C)65000 mÂ²
D)70000 mÂ²
E)75000 mÂ²
Rationale: 7 hectares in mÂ²
1 hectare = 10000 mÂ²
Therefore, 7 hectares = 7 Ã— 10000 mÂ²
= 70000 mÂ²
ANSWER : OPTION D
Answer: D
Question: A contractor is engaged for 30days on the condition thathe receives Rs.25 for each day he works &is fined Rs.7.50 for each day is absent. He gets Rs.685 in all. For how many days was he absent?
Options:
A)8
B)10
C)2
D)17
E)19
Rationale: 30 * 25 = 750
685
-----------
65
25 + 7.50 = 32.5
62/32.5 = 2
C
Answer: C
Question: An amount of Rs. 10000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested at 11% was?
Options:
A)2377
B)3750
C)2997
D)2677
E)1987
Rationale: Let the sum invested at 9% be Rs. x and that invested at 11% be Rs. (10000 - x). Then,
(x * 9 * 1)/100 + [(10000 - x) * 11 * 1]/100 = (10000 * 39/4 * 1/100)
(9x + 110000 - 11x)/100 = 3900/4 =975
(9x + 110000 - 11x) = 97500
x = 6250
Sum invested at 9% = Rs. 6250
Sum invested at 11% = Rs. (10000 - 6250) = Rs. 3750.
Answer: B
Answer: B
Question: The operation T is defined by x T y=1/x+1/y for all nonzero numbers x and y. If z is a number greater than 1, which of the following must be true.
I. x T (-z)=0
II. z T z/z-1=1
III. 2/z T 2/z=1
Options:
A)a.) I
B)b.) I and II only
C)c) I and III only
D)d) II only
E)e) I, II and III only
Rationale: Statement I is not TRUE
Statement II is TRUE
Statement III is not TRUE
Answer : D
Answer: D
Question: A gardener increased the length of a rectangle-shaped garden by 25 percent and decreased its width by 20 percent. The area of the new garden
Options:
A)has increased by 20 percent
B)has increased by 12 percent
C)has increased by 8 percent
D)is exactly the same as the old area
E)cannot be expressed in percentage terms without actual numbers
Rationale: Let L be the original length and let W be the original width.
The original area was L*W.
The new area is 0.8W*1.25L = (0.8)(1.25)L*W = L*W
The answer is D.
Answer: D
Question: A train 360 m long is running at a speed of 90 km/hr. In what time will it pass a bridge 140 m long?
Options:
A)40 sec
B)29 sec
C)26 sec
D)20 sec
E)34 sec
Rationale: Speed = 90 * 5/18 = 25 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 1/25
= 20 sec
Answer: D
Answer: D
Question: On return from a business trip Mr. Chidambaram was to be picked up from the railway station by
his coachman. Someone he managed a train connection earlier and thus arrived two hours too early.
Immediately on arrived he rang up home for the coach and was told that it had just left in order to be
exactly in time for the train by which he was scheduled to come. To save the time he started walking
homeward at 3kmph. On the way he met the coachman who brought him home an hour before
schedule. How far is the Mr. Chidambaram’s house from the railway station?
Options:
A)22
B)18
C)99
D)27
E)11
Rationale: Very good questions. Appeared in Puzzles book of Ravi Nirula.
Let the train's correct time is 9.00 am. Now chidambaram reached the station at 7 am and he was informed that the coachman (car) left at 7 am. So car takes 2 hours to reach the station. This car expected to reach home at 11 am.
But the car after picking up chidambaram, reached home 1 hour early. i.e., 10 am. So car has travelled 3 hours and 1.5 hours towards the station. So it picked him up at 8.30 am. Car saved distance equivalent to 30 minutes. but this distance is covered by Chidambaram by walk. He took 1.5 hours to cover this distance.
So Car speed is 3 times that of his walking speed. Car speed = 3 × 3 = 9 km.
We know that car takes 2 hours to reach station. So the distance = 9 × 2 = 18 km.
Answer:B
Answer: B
Question: What least number must be added to 1056, so that the sum is completely divisible by 23 ?
Options:
A)2
B)3
C)16
D)18
E)23
Rationale: 23) 1056 (45
92
---
136
115
---
21
---
Required number = (23 - 21)
= 2.
Answer: Option A
Answer: A
Question: A certain telescope increases the visual range at a particular location from 70 kilometers to 150 kilometers. By what percent is the visual range increased by using the telescope ?
Options:
A) 30%
B) 33 1/2%
C) 40%
D) 60%
E) 114.28%
Rationale: Original visual range = 70 km
New visual range = 150 km
Percent increase in the visual range by using the telescope
= (150-70)/70 * 100%
= 8/7 * 100%
= 114.28 %
Answer E
Answer: E