divelab/Sys2Bench huggingface dataset:
Question: What amount does Kiran get if he invests Rs. 16000 at 15% p.a. simple interest for four years?
Options:
A)Rs. 25800
B)Rs. 15600
C)Rs. 21600
D)Rs. 24800
E)Rs. 25600
Rationale: Simple interest = (16000 * 4 * 15)/100 = Rs. 9600
Amount = P + I = 16000 + 9600 = Rs. 25600
ANSWER:E
Answer: E
Question: Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Options:
A)3.5
B)4.5
C)5.6
D)6.5
E)None of these
Rationale: Explanation :
C.P. of 1 dozen of toys = Rs. 375
So, C.P. of 1 toy = Rs. 375/12 = Rs. 125/4
S.P. of 1 toy = Rs. 33
Profit = Rs. 33 - (125/4) = Rs. 7/4
% Profit = 7/4∗4/125∗100%= 5.6%
Answer : C
Answer: C
Question: At 30 minutes past 8 o'clock, what is the angle between the two hands?
Options:
A)15
B)30
C)45
D)60
E)75
Rationale: The hour hand moves 360 degrees in 12 hours.
The hour hand moves 30 degrees in 1 hour and 15 degrees in 30 minutes.
The minute hand moves 360 degrees in 60 minutes and 180 degrees in 30 minutes.
At 30 minutes past 8, the hour hand has moved 255 degrees.
At 30 minutes past 8, the hour hand has moved 180 degrees.
The angle between the two hands is 75 degrees.
The answer is E.
Answer: E
Question: I. m-14, m, m, m, m+14
II. b, b+1, b+2, b+3, b+4
III. c, c, c, c, c
The data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following?
Options:
A)I, II, III
B)I, III, II
C)II, III, I
D)III, I, II
E)III, II, I
Rationale: S.D is a non-negative entity. Also, for a given set with all the elements same, the S.D is Zero(It is zero even if there is only one element in the set too). From the given sets, we can see that the last set has a standard deviation of zero. Also, because the other sets can not have all the terms equal for any values of m or b, thus the S.D for the third set(III) has to be the minimum. Select the option which has III in the end.
A.
Answer: A
Question: A certain office supply store stocks 2 sizes of self-stick notepads, each in 5 colors. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
Options:
A)6
B)8
C)16
D)20
E)30
Rationale: Notepads of the same color = 5 (we have 5 colors). As we have two sizes then total for the same color=5*2=10
Notepads of the different colors = 5C3=10 (we should choose 3 different colors out of 5). As we have two sizes then total for the different color=10*2=20
Total=10+20=30
Answer: E.
Answer: E
Question: City X has a population 8 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z?
Options:
A)1:8
B)1:4
C)2:1
D)4:1
E)16:1
Rationale: x= 8y, y= 2*z
X : Y , Y : Z
8 : 1 , 2 : 1
16 : 2 , 2 : 1
So, X : Z = 16 : 1
(E)
Answer: E
Question: Diana is painting statues. She has 7/8 of a gallon of paint remaining. Each statue requires 1/16 gallon of paint. How many statues can she paint?
Options:
A)10
B)20
C)28
D)14
E)19
Rationale: number of statues=all the paint÷amount used per statue
=7/8 ÷ 1/16
=7/8*16/1
=112/8
=14.
Answer is D.
Answer: D
Question: If the area of a circle is 49pi square feet, find its circumference.
Options:
A)14 pi feet
B)43 pi feet
C)42 pi feet
D)18 pi feet
E)64 pi feet
Rationale: The area is given by pi * r * r. Hence
pi * r *r = 491 pi
r *r = 49 ; hence r = 7 feet
The circumference is given by
2 *pi *r = 2 * pi * 7 = 14 pi feet
correct answer A
Answer: A
Question: If m = ||n – 3| – 2|, for how many values of n is m = 5?
Options:
A)5
B)4
C)2
D)3
E)1
Rationale: m = ||n – 3| – 2| can be 4 only and only when n-3= +/-7. so there are 2 values of n
Answer : C
Answer: C
Question: The product of all the prime numbers less than 14 is closest to which of the following powers of 10 ?
Options:
A) 10^4
B) 10^8
C) 10^7
D) 10^6
E) 10^5
Rationale: P = 2*3*5*7*11*13
= 21 * 11 * 13*10
~ 10^ 4
Answer : A
Answer: A
Question: In the faculty of Reverse-Engineering, 226 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 85% of the total?
Options:
A)515.
B)545.
C)606.
D)644.
E)666.
Rationale: Answer is C :606
Solution : Total number of students studying both are 423 + 226 - 134 = 515 (Subtracting the 134 since they were included in the both the other numbers already).
So 85% of total is 515, so 100% is approx. 606.
Answer: C
Question: A sells his goods 50% cheaper than B but 50% dearer than C. The cheapest is?
Options:
A)A
B)B
C)C
D)D
E)ALL
Rationale: Answer: Option C
Let b = 100
a = 50
c * (150/100) = 50
3c = 100
c = 33.3 then 'c' cheapest
Answer: C
Question: How many integers from 0 to 50 inclusive have a remainder of 3 when divided by 8?
Options:
A)5
B)6
C)7
D)8
E)9
Rationale: The numbers should be of the form 8c+3.
The minimum is 3 when c=0.
The maximum is 43 when c=5.
There are six such numbers.
The answer is B.
Answer: B
Question: In a bag containing 3balls, a white ball was placed and then 1ball was taken out at random. What is the probability that the extracted ball would turnon to be white, if all possible hypothesis concerning thecolor of theballs that initiallyin the bag were equally possible ?
Options:
A)2/3
B)5/8
C)3/5
D)3/8
E)4/9
Rationale: Since, all possible hypothesis regarding the colour of the balls are equally likely, therefore these could be 3 white balls, initially in the bag.
∴ Required probability = 1/4 [1 + 3/4 + 1/2 + 1/4]
= 1/4 [(4 + 3 + 2 + 1)/4] = 5/8
B
Answer: B
Question: The sale price Mobiles listed for Rs.8000 after successive discount is 20% and 10% is?
Options:
A)5670
B)5560
C)5770
D)5660
E)5760
Rationale: 8000*(80/100)*(90/100)
= 5760
Answer: E
Answer: E
Question: The ratio of three numbers is 5:3:4 and their sum is 108. The second number of the three numbers is?
Options:
A)18
B)19
C)21
D)22
E)27
Rationale: 5:3:4
Total parts = 12
12 parts --> 108
1 part ---->9
The second number of the three numbers is = 3
3 parts ----> 27
E
Answer: E
Question: For a group of n people, k of whom are of the same sex, the (n-k)/n expression yields an index for a certain phenomenon in group dynamics for members of that sex. For a group that consists of 20 people, 6 of whom are females, by how much does the index for the females exceed the index for the males in the group?
Options:
A) 0.4
B) 0.0625
C) 0.2
D) 0.25
E) 0.6
Rationale: Index for females = (20-6)/20 = 7/10 = 0.7
Index for males = (20-14/20 = 3/10 = 0.3
Index for females exceeds males by 0.7 - 0.3 = 0.4
Answer: A
Answer: A
Question: In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 12 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
Options:
A)80%
B)105%
C)120%
D)96%
E)138%
Rationale: x = profits
r= revenue
x/r = 0,1
x= 10
r=100
2009:
r=80
x/80 = 0,12 = 12/100
x= 80*12/100
x= 9.6
9.6/10 = 0.96 = 96%, Answer D
Answer: D
Question: What must be added to each term of the ratio 4 : 15, so that it may become equal to 3 : 4?
Options:
A)18
B)29
C)39
D)49
E)59
Rationale: Let x be added to each term of the ratio 4:15.
New ratio becomes (4+x)/(15+x), which is given to be equal to 3:4.
This means,
(4+x)/(15+x)=3/4
Solving we get, x = 29.
Ans B
Answer: B
Question: The cost C, in dollars, to remove p percent of a certain pollutant from a pond is estimated by using the formula C = 100,000p/(100 - p). According to this estimate, how much more would it cost to remove 80 percent of the pollutant from the pond than it would cost to remove 80 percent of the pollutant?
Options:
A) 0
B) $100,000
C) $50,000
D) $10,000
E) $5,000
Rationale: To remove 80% of pollutant
C= 100,000(80)/(100-80) = 400,000
To remove 80% of pollutant
C' = 100,000(80)/(100-80) = 400,000
Difference = C - C'=0
Answer - A
Answer: A
Question: A tyre has two punctures. The first puncture alone would have made the tyre flat in 10 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat ?
Options:
A)3 1/5min
B)3 2/5min
C)3 3/5min
D)3 3/4min
E)3 min
Rationale: Explanation:
Do not be confused, Take this question same as that of work done question's. Like work done by 1st puncture in 1 minute and by second in 1 minute.
Lets Solve it:
1 minute work done by both the punctures =
(1/10+1/6)=(8/30) = (4/15)
So both punctures will make the type flat in
(15/4)mins=3 3/4mins
Option D
Answer: D
Question: There are 4 red shoes & 4 green shoes . If two of red shoes are drawn what is the probability of getting red shoes
Options:
A)1/3
B)1/14
C)3/14
D)1/15
E)1/16
Rationale: taking 2 red shoe the probability is 4C2
from 8 shoes probability of taking 2 red shoes is 4C2/8C2=3/14
ANSWER:C
Answer: C
Question: The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest angle is constant). If the largest sector so formed has a central angle of 80°, what fraction of the wheel’s area is represented by the second largest sector?
Options:
A)1/72
B)1/36
C)1/18
D)1/12
E)7/36
Rationale: Its an AP question .... it is given clearly in the question .
Let the smallest angle be a
and the circle has 8 sectors and hence 8 angle with a common difference d
hence all the angles can be written in AP form with Cd as d ,
a, a+d, a+2d, a+3d ,a+4d, a+5d, a+6d ,a+7d,
given that a+7d = 80 --------1
also
a + a+d + a+2d + a+3d +
a+4d + a+5d + a+6d + a+7d = 360 ( as sum of all the angle is 360)
which is 8a + 28d = 360 --------2
solving 1 and 2
we get a=10
We are almost done ,
now the question ask what fraction of the wheel’s area is represented by the smallest sector ?
(70/360)( pie r*r)/ (pie r*r) = 70/360= 7/36
E ans ....
Answer: E
Question: 10 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
Options:
A)90
B)98
C)35
D)99
E)80
Rationale: Though 2*(10C2) is the correct approcah to do this, but for people like me who find Perm, Comb n Prob a nightmare, an easy approach can be used.
The first guy has to play 2 matches with the rest of 9, so he'll play 18 matches.
Similarly, second guy has to play with the rest of 8 as his 2 games with the first guy are already played. So he plays 16 matches.
This continues like this and the total matches are 18+16+14...+2
18+16+...+2 = 2(9+8+...+1) = 2((9*10)/2) = 9*10 = 90.
ANSWER:A
Answer: A
Question: A tennis championship is played on a knock-out basis, i.e., a player is out of the tournament when he loses a match.
(a) How many players participate in the tournament if 15 matches are totally played?
(b) How many matches are played in the tournament if 50 players totally participate?
Options:
A)15,49
B)16,49
C)16,48
D)16,47
E)None of these
Rationale: (a) u don’t need to sum it up. since it’s a knock out only 1 person emerges winner finally. so15+1=16 is answer.because after15 matches finally we shud’ve 15 losers and 1winner.
(b) 49:its always one less than no of players as per the idea given above.so no need to check okay cos its always true.ans is 49
Answer B
Answer: B
Question: Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Options:
A)50 m
B)72 m
C)80 m
D)82 m
E)90 m
Rationale: Explanation:
Let the length of each train be x m.
Then, distance covered = 2x m.
Relative speed = 46 - 36 = 10 km/hr.
= 10 * 5/18 = 25/9 m/sec.
2x/36 = 25/9 => x = 50.
ANSWER IS A
Answer: A
Question: A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit.
Options:
A)1260
B)1200
C)1300
D)1500
E)2000
Rationale: Let SP be x then
(100-loss)%(1st SP) =(100+gain%):(2nd SP)
=>(95/1140 = 105/x)
x=1260
ANSWER A
Answer: A
Question: A man has Rs. 400 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Options:
A)90
B)75
C)50
D)80
E)60
Rationale: Let number of notes of each denomination be x.
Then x + 5x + 10x = 400
16x = 400
x = 25.
Hence, total number of notes = 3x = 75.
Answer is B.
Answer: B
Question: In a workshop there are 4 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 5 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?
Options:
A)168.
B)80.
C)56.
D)64.
E)16.
Rationale: ways to select one shelf = 2
ways to select one bed = 4
ways to select one of the following: a chair or a closet = 5+3 = 8
ways to select all of them together = 2*4*8 = 64
D
Answer: D
Question: If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 315, what is the greatest possible profit that might be made in selling eight books ?
Options:
A)23267
B)2677
C)1800
D)2778
E)920
Rationale: Explanation:
Least Cost Price = Rs. (200 * 8) = Rs. 1600.
Greatest Selling Price = Rs. (315 * 8) = Rs. 2520.
Required profit = Rs. (2520 - 1600) = Rs. 920.
Answer: E) 920
Answer: E
Question: Carol is three times Kalice’s age but only twice as old as Betty. Alice is twelve years younger than Carol. How old is Betty?
Options:
A)6
B)9
C)12
D)18
E)24
Rationale: ans B..9..
given that C=3K=2B..AND K=C-12..
substituting the values K=6,C=18 AND B=9..
Answer: B
Question: A coin is tossed seven times. What is the probability that there is at the least one tail?
Options:
A)127/128
B)31/37
C)31/18
D)31/10
E)31/19
Rationale: Let P(T) be the probability of getting least one tail when the coin is tossed seven times.
= There is not even a single tail.
i.e. all the outcomes are heads.
= 1/128; P(T) = 1 - 1/128= 127/128
Answer: A
Answer: A
Question: The price of lunch for 15 people was $206.00, including a 15 percent gratuity for service. What was the average price per person, EXCLUDING the gratuity?
Options:
A) $11.73
B) $12.48
C) $13.80
D) $14.00
E) $15.87
Rationale: Take the initial price before the gratuity is 100
The gratuity is calculated on the final price, so as we assumed the final bill before adding gratuity is 100 so gratuity is 15% of 100 is 15 so the total price of meals is 115 so the given amount i.e 206 is for 115 then we have to calculate for 100
for 115 206
for 100 x
so by cross multiplication we get 115x=100*206 => x=100*206/110 by simplifying we get x as 187.27 which is the price of lunch before gratuity so the gratuity is 18.73 so
as the question ask the average price person excluding gratuity is 187.27/15=12.48 so our answer is B)
Answer: B
Question: Last year a certain bond price with a face value of 5000 yielded 9% of its face value in interest. If that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price?
Options:
A)4063
B)5325
C)5351
D)6000
E)6923
Rationale: Interest = 0.09*5000 = 0.065*selling price --> selling price = 0.09*5000/0.065 --> selling price = ~6,923
Answer: E.
Answer: E
Question: If the remainder is 11 when positive integer n is divided by 18, what is the remainder when n is divided by 9?
Options:
A)0
B)2
C)1
D)3
E)4
Rationale: Assume x is quotient here,
n=18x+11 ----------(1)
and n=9x+ ?
We can also write equation (1) as:
n=(18x+9)+2.
ie 9(2x+1)+2 ie the first term is perfectly divisible by 6.
So,the remainder left is 2.
So,answer (B) is right choice.
Answer: B
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
Options:
A)22
B)27
C)12
D)71
E)53
Rationale: Explanation:
T = 9/45 * 60 = 12
Answer: Option C
Answer: C
Question: The difference of 2 digit no. & the number obtained by interchanging the digits is 36. What is the difference the sum and the number if the ratio between the digits of the number is 1:2 ?
Options:
A)6
B)8
C)9
D)10
E)14
Rationale: Let the number be xy.
Given xy – yx = 36.
This means the number is greater is than the number got on reversing the digits.
This shows that the ten’s digit x > unit digit y.
Also given ratio between digits is 1 : 2 => x = 2y
(10x + y) – (10y +x) = 36 => x – y = 4 => 2y – y =4.
Hence, (x + y) – (x – y) = 3y – y = 2y = 8
B
Answer: B
Question: 3 ltr of water is added with 11 ltr of a solution containing 42%of alcohol in the water. The %of alcohol in the new mixture is?
Options:
A)23%
B)35%
C)33%
D)40%
E)45%
Rationale: We have a 11 litre solution containing 42% of alcohol in the water.
=> Quantity of alcohol in the solution
=11×42/ 100
Now 3 litre of water is added to the solution.
=> Total quantity of the new solution = 11 + 3 = 14
Percentage of alcohol in the new solution
=11×42/100
14
×
100
=11×4210014×100
=11×3/100
=33%
C
Answer: C
Question: Which of these expressions has the greatest value?
Options:
A)1345211/1345215
B)1892345/1862348
C)1215768/1215769
D)1532672/1532675
E)1214651/1214651
Rationale: Using elimination method on options
1892345/1862348 = 1.01610708632...
ANSWER:B
Answer: B
Question: There are different 10 circles. What is the number of the greatest possible points with which the circles intersect?
Options:
A)90
B)100
C)110
D)180
E)200
Rationale: Maximum points of intersection between n different circles = n*(n - 1) = 10*9 = 90
Answer: A
Answer: A
Question: If 15% of A is the same as 25% of B, then A : B is :
Options:
A)5:3
B)4:3
C)7:16
D)12:17
E)11:13
Rationale: Expl : 15% of A I= 25 % of B =15A/100 = 25B/100 = 5/3 = 5:3
Answer:A
Answer: A
Question: A card is drawn from a pack of 250 card numberd 1 to 200.what is the probability that drawing a no.which is perfect cube?
Options:
A)1/40
B)1/20
C)1/30
D)3/40
E)5/40
Rationale: 6^3 is 216 so only 1to 5 is a perfect cube with in 200
therefore 5c1/200c1
=1/40
ANSWER:A
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Options:
A)1/455
B)1/439
C)1/429
D)1/409
E)1/420
Rationale: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
Probability that all the three marbles picked at random are blue = ³C₃/¹⁵C₃ = (1 * 3 * 2 * 1)/(15 * 14 * 13)
= 1/455
Answer:A
Answer: A
Question: Following an increase in prices, the price of a candy box was 10 pounds and the price of a can of soda was 9 pounds. If the price of a candy box was raised by 25%, and the price of a can of soda was raised by 50%. What was the price of a box of candy plus a can of soda before prices were raised?
Options:
A)11.
B)12.
C)13.
D)14.
E)14.5
Rationale: Price of candy before price increase= 10/1.25= 8
Price of soda before price increase= 9/1.5= 6
Total price = 8+6= 14
D is the answer
Answer: D
Question: After decreasing 25% in the price of an article costs Rs.1500. Find the actual cost of an article?
Options:
A)1400
B)1300
C)1200
D)2000
E)1500
Rationale: CP* (75/100) = 1500
CP= 20* 100 => CP = 2000
ANSWER:D
Answer: D
Question: 850 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?
Options:
A)a) 162
B)b) 138
C)c) 60
D)d) 17
E)e) 12
Rationale: Passed in english = 65%
Passed in maths = 55%
Passed in both = 40% of 55% = 2/5 * (55%) = 22%
Passed in (English + Maths - Both + Neither) = 100%
65 + 55 - 22 + Neither = 100
Neither = 100 - 98 = 2% = 0.02 * 850 = 17
Answer: D
Answer: D
Question: A certain auto manufacturer sold 3% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,00, did the manufacturer sell in 2007?
Options:
A)63,000
B)2,000,000
C)2,030,000
D)204,000
E)2,300,000
Rationale: Let's assume in 2006 he has sold X. Therefore in 2007 he should have sold 97/100×X.
97/100×2100=2037
-->2,037,000 sold in 2007. When rounded to the nearest 10,000 :
204,000
D
Answer: D
Question: With # andeach representing different digits in the problem below, the difference between #and ## is 534. What is the value of?
#
-##
____
534
Options:
A)7
B)8
C)9
D)6
E)10
Rationale: 100x
-(10x +x)
-----------
89 x= 534
x = 6
D
Answer: D
Question: How many seconds will a train 140 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Options:
A)28 sec
B)29 sec
C)24 sec
D)25 sec
E)26 sec
Rationale: D = 140 + 150 = 290
S = 36 * 5/18 = 10 mps
T = 290/10 = 29 sec
B
Answer: B
Question: A student finds the average of nine positive integers. Each integer contains two digits. By mistake, the boy interchanges the digits of one number say pq for qp. Due to this, the average becomes 1 less than the previous one. What was the difference of the two digits p and q?
Options:
A)8
B)6
C)1
D)4
E)2
Rationale: Explanation :
Let the original number be pq i.e., (10p + q).
After interchanging the digits, the new number becomes qp i.e., (10q + p).
The question states that the average of 9 numbers has become 1 less than the original average.
Therefore, the sum of the original 9 numbers will be 9*1 more than the sum of the 9 numbers with the digits interchanged.
i.e., 10p + q = 10q + p + 9
=> 9a - 9b = 9
=> a - b = 1.
Answer : C
Answer: C
Question: If x is 12 percent greater than 70, then x =
Options:
A)78.4
B)91.0
C)88.0
D)70.4
E)71.2
Rationale: 12% of 70 = (70*0.11) = 8.4
12% greater than 70 = 70 + 8.4 = 78.4
Answer is clearly A.
Answer: A
Question: 3 years ago, the avg age of a family of 5 individuals was 17. A kid have been born the avg age of family is an exact today? What is the age of the kid?
Options:
A)2 years
B)5 years
C)6 years
D)4 years
E)7 years
Rationale: A
2 years
Current age of 5 individuals is,
=5 x 17 + 3 x 5 = 100 years
Also, current ages of 5 persons + Age of the kid
= 6 x 17 = 102 years
Therefore, Age of the Kid = 102 – 100 = 2 years.
Answer: A
Question: select the no. which is different from series
13,16,19,22,24,28
Options:
A)24
B)28
C)19
D)13
E)22
Rationale: 13. 16. 19. 22. 24. 28
every step it increase by 3 but from 22 it should 25 but it is 24so,24 is different
answer A
Answer: A
Question: The moon revolves around the earth at a speed of approximately 1.05 kilometers per second. This approximate speed is how many kilometers per hour?
Options:
A)60
B)61.2
C)62.5
D)3,780
E)3,672
Rationale: moon revolves around the earth at a speed of 1.02kilometers per second.
one hour equal to 60 minutes.
one minute equals to 60 seconds. so one hour equals to 3600seconds.
so one hour, speed= 1.05*3600=3780kilometers per hour.
Option D is correct
Answer: D
Question: In what time will a train 150 metres long cross an electric pole, if its speed be 122 km/hr?
Options:
A)2.42
B)6.42
C)5.42
D)4.42
E)3.42
Rationale: Solution
Speed	= (122 x 5 /18) m/sec
= 33.88m / sec
Time taken	= (150 /33.88) sec
= 4.42 sec.
Answer D
Answer: D
Question: What is the units digit of the expression 14^7−16^4?
Options:
A) 0
B) 3
C) 8
D) 6
E) 4
Rationale: I think answer on this one should be C too. Since we know that 14^7>16^4, as Will said one should always check if the number is positive.
Answer: C
Question: Find the average of all numbers between 4 and 41 which are divisible by 5
Options:
A)22.5
B)20
C)25
D)30
E)35
Rationale: Explanation:
Average=(5+10+15+20+25+30+35+40)/8=180/8=22.5
Answer: Option A
Answer: A
Question: A and B began business with Rs.2000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of B.
Options:
A)240
B)288
C)277
D)455
E)361
Rationale: (2*8 + 1*4):(4*8 + 5*4)
5:13
13/18 * 630 = 455
Answer: D
Answer: D