divelab/Sys2Bench huggingface dataset:
Question: If P gets 25% more than Q, then by what percent does Q get less than P?
Options:
A)45
B)34
C)20
D)76
E)54
Rationale: Let Q get 1 unit.
25% of 1 unit = 1/4 = 0.25
P gets (1 + 0.25) i.e., 1.25 units.
Difference = (1.25 - 1) = 0.25
Required percentage = 0.25/1.25 * 100 = 1/5 * 100 =20
Answer:C
Answer: C
Question: In an engineering class that contained 125 students, the final exam consisted of 2 questions. Three fifths of the students answered the first question correctly. If four fifths of the remainder answered the second question correctly, how many students answered both questions incorrectly?
Options:
A)4
B)6
C)10
D)12
E)24
Rationale: 1st Question : Three fifths of the students answered the first question correctly - so 3/5âˆ—125=75
2nd Question : four fifths of the remainder answered the second question correctly so 4/5âˆ—(125âˆ’75)=4/5âˆ—50=40
total students who answered at least one Q correct =75+40=115
so students who answered BOTH incorrectly = 125âˆ’115=10
ANSWER:C
Answer: C
Question: Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is
Options:
A)Rs 1650
B)Rs 1750
C)Rs 1850
D)Rs 1950
E)None of these
Rationale: Explanation:
C.I.=(4000×(1+10/100)2−4000)
=4000∗11/10∗11/10−4000=840
So S.I. = 840/2=420
So Sum = S.I.∗100/R∗T=420∗100/3∗8=Rs1750
Option B
Answer: B
Question: If a(a + 2) = 120 and b(b + 2) = 120, where a ≠ b, then a + b =
Options:
A)-4
B)-6
C)-2
D)-10
E)-8
Rationale: i.e. if a = 10 then b = -12
or if a = -12 then b = 10
But in each case a+b = -12+10 = -2
Answer:C
Answer: C
Question: IF x is an integer greater than 6, then all the following must be divisible by 3 EXCEPT
Options:
A)9x/3
B)9x^2
C)x(x+1)(x+2)
D)x+1
E)3x^3
Rationale: *any number multiplied by 3, will be divided by 3
for option D if we put value x=7, 7+1=8 is not divisible by 3
Answer : E
Answer: E
Question: In year Y imported machine tools accounted for 25 percent of total machine-tools sales in the United States, and Japanese imports accounted for 45 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?
Options:
A)9x/80
B)13x/20
C)80/9x
D)20x/13
E)80x/9
Rationale: Sales of imported tools = 25% of the total sales = 0.25*{total} = {total}/4;
Sales of Japanese tools = 45% of the sales of imported tools = 0.45*{total}/4 = 9/20*{total}/4 = 9*{total}/80.
Since the sales of of Japanese tools was x, then 9*{total}/80 = x --> {total} = 80x/9.
Answer: E.
Answer: E
Question: The average of 11 numbers is 12.8. If the average of the first six numbers is 12.4 and that of the last six numbers is 12.2,then the middle number is?
Options:
A)7.8
B)7.9
C)7.1
D)7.2
E)6.8
Rationale: Middle number = 12.4*6 + 12.2*6 - 12.8*11 = 147.6-140.8=6.8
Answer is E
Answer: E
Question: 7 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the diamond?
Options:
A)4
B)6
C)16
D)24
E)720
Rationale: it is like a circular arrangement.
total ways for n people to arrange in a circle is = factorial (n-1)
in this case n= 7
hence ans = 6 factorial = 720
hence E
Answer: E
Question: From a pack of 52playing cards, 2cards are drawn togetherat random. Find the probability of both the cards being king?
Options:
A)2/218
B)1/213
C)1/221
D)2/215
E)3/315
Rationale: Two cards can be drawn from a pack of 52 playing cards in 52C2 ways. i,e., 52 x 51 / 2 = 1326 ways. The event that two kings appear in a single drawn of cards is 4C2 ways, i.e 6 ways.
∴ The probability that the two cards drawn from a pack of 52 cards are kings = 6/1326 = 1/221
C
Answer: C
Question: If the length of the sides of two cubes are in the ratio 5:1, what is the ratio of their total surface area?
Options:
A)5:1
B)10:1
C)25:1
D)50:1
E)150:1
Rationale: Let x be the length of the small cube's side.
The total surface area of the small cube is 6x^2.
The total surface area of the large cube is 6(5x)^2=150x^2.
The ratio of surface areas is 25:1.
The answer is C.
Answer: C
Question: In an election, candidate A got 85% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate?
Options:
A)355600
B)355800
C)404600
D)356800
E)357000
Rationale: Total number of invalid votes = 15 % of 560000
= 15/100 × 560000
= 8400000/100
= 84000
Total number of valid votes 560000 – 84000 = 476000
Percentage of votes polled in favour of candidate A = 85 %
Therefore, the number of valid votes polled in favour of candidate A = 85 % of 476000
= 85/100 × 476000
= 40460000/100
= 404600
C)
Answer: C
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12400 after a year?
Options:
A)3630
B)2881
C)3720
D)9977
E)2212
Rationale: 6300:4200:10500
3:2:5
3/10 * 12400 = 3720.Answer: C
Answer: C
Question: A 240 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
A)229
B)144
C)278
D)126
E)112
Rationale: S = 240/6 * 18/5 = 144 kmph
Answer: B
Answer: B
Question: m^n =2401
wat is m/n?
Options:
A)2.75
B)1.75
C)3.75
D)4.75
E)5.75
Rationale: m^n= 2401
7^4= 2401
here m= 7 and n=4
thus m/n= 7/4= 1.75
ANSWER:B
Answer: B
Question: A and B go around a circular track of length 100 m on a cycle at speeds of 18 kmph and 36 kmph. After how much time will they meet for the first time at the starting point?
Options:
A)120 sec
B)198 sec
C)178 sec
D)665 sec
E)20 sec
Rationale: Time taken to meet for the first time at the starting point
= LCM { length of the track / speed of A , length of the track / speed of B}
= LCM { 100/ (18 * 5/18) , 100/ (36 * 5 /18) }
= LCM (20, 10) = 20 sec.
Answer:E
Answer: E
Question: The speed of a boat in still water in 22 km/hr and the rate of current is 4 km/hr. The distance travelled downstream in 24 minutes is:
Options:
A)10.6
B)10.2
C)10.8
D)10.4
E)10.0
Rationale: Speed downstream = (22 + 4) = 26 kmph
Time = 24 minutes =24/60 hour = 2/5 hour
Distance travelled = Time × speed =2/5×26 = 10.4 km
Answer is D.
Answer: D
Question: A company decreased the price of its main product by 25%. Subsequently, the number of units sold increased such that the total revenue remained unchanged. What was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product?
Options:
A)2.0
B)4.0
C)5.0
D)6.0
E)8.0
Rationale: For the total revenue to remain the same when the price is one fourth, the number of products sold must four times. Therefore increase in the number of products sold is 100%
=> The required ratio = 100%/25% = 4.0
Answer : B
Answer: B
Question: A cheese factory sells its cheese in rectangular blocks. A normal block has a volume of 4 cubic feet. If a large block has twice the width, twice the depth, and twice the length of a normal block, what is the volume of cheese in a large block in cubic feet?
Options:
A)16
B)20
C)36
D)32
E)28
Rationale: Volume of cube=lbh=4
New cube l ,b, h are increases of 2l, 2b,2h
New volume of cube =2l*2b*2h=8*lbh
=8*4
=32
Answer: D
Answer: D
Question: If line L passes through point (m, n) and (– m, – n), where m and n are not 0, which of the following must be true?
I.	The slope of L is positive
II.	The slope of L is negative
III.	L exactly passes not through 2 quadrants
Options:
A)I only
B)II only
C)III only
D)None
E)II and III only
Rationale: Let (m,n) = (2,3)
(-m,-n) = (-2,-3)
Slope = (3+3)/(2+2) = 6/4 = 3/2
So II may not be true
Let (m,n) = (2,-3) then (-m,-n) = (-2,3)
So slope = (3 +3)/(-2-2) = -3/2
so I may not be true
So such a line would be -> (y - 3) = 3/2(x - 2)
=> 2y - 6 = 3x - 6
=> 2y - 3x = 0, hence no x or y intercept, so it passes through origin.
III is not true.
Answer - D
Answer: D
Question: Arithmetic mean and standard deviation of a certain normal distribution are 13.5 and 2. What value is exactly 2 standard deviations less than the mean?
Options:
A) 9.5
B) 11
C) 11.5
D) 12
E) 12.5
Rationale: The value which is exactly two SD below the mean is: mean-2*SD=13.5-2*2=9.5.
Answer: A.
Answer: A
Question: There are 35 students in a hostel. If the no. of students increases by 3, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs 1. Find the original expenditure of the mess?
Options:
A)s. 144.67
B)s. 319.67
C)s. 142.67
D)s. 148.67
E)s. 149.67
Rationale: Suppose the average join the mess , total expenditure = 35x + 42
Now, the average expenditure = (35x + 42)/ (35 + 3) = x – 1
or, 35x + 42 = 38x – 38
or, x = 26.67
Thus the original expenditure of the mess = 35 x 26.67 =933.33
1078-933.33 = Rs. 144.67
A
Answer: A
Question: A and B can together finish a work in 40days. They worked together for 10days and then B left. After another 21 days, A finished the remaining work. In how many days A alone can finish the job?
Options:
A)10
B)25
C)60
D)30
E)28
Rationale: A+B 10days work = 10*1/40 = 1/4
Remaining work = 1-1/4 = 3/4
3/4 work is done by A in 21 days
whole work will be done by A in 21*4/3 = 28 days
Answer is E
Answer: E
Question: If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same no. by 38
Options:
A)1
B)3
C)5
D)7
E)8
Rationale: P Ã· 44 = 432
=> P = 432 * 44 = 19008
P / 38 = 19008 / 38 = 500, remainder = 8
E
Answer: E
Question: What is the square root of 9?
Options:
A)1
B)3
C)2
D)4
E)9
Rationale: 3X3 = 9
ANSWER B
Answer: B
Question: Convert the 11/36 m/s into kilometers per hour?
Options:
A)2.9 kmph
B)1.1 kmph
C)1.3 kmph
D)1.2 kmph
E)5.7 kmph
Rationale: 11/36 m/s = 11/36 * 18/5 = 11/10
= 1.1 kmph.
Answer: B
Answer: B
Question: If in a certain code 3 * 4 = 25 and 6 * 8 = 100 then what is the value of 12 * 5?
Options:
A)144
B)169
C)154
D)178
E)214
Rationale: Solution: In this question the pattern * represents a code.
=> 3² + 4² = 25
=> 6² + 8² = 100
=> 12² + 5² = 169
ANSWER: B
Answer: B
Question: If x and d are both integers, x>d, and -x>19, then the largest value of d would be?
Options:
A)-5
B)-6
C)-7
D)-8
E)-10
Rationale: No, your thinking is incorrect. When we know that x>d and x<-6.33, the largest value of x can be -7 while if x=-7, then largest value of d < -7 will be -8.For negative numbers, -7 > -8 and -8> -10.
You are right in saying that d can take any value less than -7 ---> d could be -8, -9, -10 .... and out of all these values, -8 is the greatest.
Look at the numbers on the number line. For any 2 numbers, the ones on the right are greater than the ones on the left:
.......-11 -10 -9 -8 -7 -6 -5 ..... 0 1 2 3 4 5 6 ... (-11< -10, -10< -8, 4< 5 etc).
So, as per the question if d<x and x = -7 , then d's largest 'possible' value has to be -8.
-10 is smaller than -8=D
Answer: D
Question: If A,B,C,D,E,F,G,H,I,J are in an decreasing Arithmetic Progression as such. Then Which of the following operations will result in both mean and the median being modified.
A) A is removed
B) E and F are removed
C) B and I are removed
D) A,B,C,H,I,J are removed
E) A and E are removed
Options:
A)1) A and E
B)2) A and C
C)3) A,C,E
D)4) All of them
E)5) None of them
Rationale: Here answer will be (A).
There are 10 equidistant numbers on the number line.
Mean and median will be the average of middle two numbers.
If you remove two numbers which is equidistant from either extreme (e.g. B and I), the total deviation on either side of the mean stays the same so mean stays the same. Also, the median is still the average of middle two numbers.
Answer: A
Question: Set S consists of integers {7, 8, 10, 12, 13}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 10%. What is the value of integer n?
Options:
A)10
B)12
C)16
D)22
E)24
Rationale: The average of the numbers in set S is 10.
If we increase the mean by 10%, the new mean is 11.
Thus, on average, 5 numbers increase by 1.
Therefore n = 11+5 = 16
The answer is C.
Answer: C
Question: If (4 - x)/(3 + x) = x, what is the value of x^2 + 4x - 4?
Options:
A)-4
B)-1
C)0
D)1
E)4
Rationale: (4-x) = x*(3+x)
(4-x) = 3x+x^2
0 = x^2+4x-4
The answer is C.
Answer: C
Question: Two trains of equal length 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 seconds. The length of each train is:
Options:
A)50 m
B)72 m
C)80 m
D)82 m
E)92 m
Rationale: Let the length of each train be x metres.
Then, distance covered = 2x metres.
Relative speed = (46 - 36) km/hr
=(10 x(5/18)m/sec
=	(25/9)m/sec
(2x/36)	=	(25/9)
2x = 100
x = 50.
A
Answer: A
Question: Car A travels at three times the average speed of car B. Car A started to travel at 12:00 o'clock, car B started to travel at 16:00 o'clock. What is the speed of car B (in Km/h) if the total distance that both cars traveled until 18:00 was 5000 Km?
Options:
A)10.
B)250.
C)30.
D)38.
E)50.
Rationale: Total distance= Distance travelled by A +Distance travelled by car B
Distance= speed*time
Distance of A= 3x * 6
Distance of B= x*2
(3x * 6) + (x*2) = 5000
x= 250 KM/hr
B is the answer
Answer: B
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
Options:
A)5%
B)7%
C)9%
D)2%
E)4%
Rationale: 160 = (180*4*R)/100
R = 5%
Answer: A
Answer: A
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 1000 more than D, what is B's share?
Options:
A)8239
B)2900
C)2000
D)2393
E)2009
Rationale: Let the shares of A, B, C and D be 5x, 2x, 4x and 3x Rs. respectively.
Then, 4x - 3x = 1000 => x = 1000.
B's share = Rs. 2x = 2 * 1000 = Rs. 2000.
Answer: C
Answer: C
Question: A train 270 metres long is moving at a speed of 25 kmph. It will cross a man coming from the opposite direction at a speed of 2 km per hour in :
Options:
A)30 sec
B)32 sec
C)36 sec
D)38 sec
E)40 sec
Rationale: Relative speed = (25+2) km/hr = 27 km/hr
= (27×5/18) m/sec = 15/2 m/sec.
Time taken by the train to pass the man =(270×2/15) sec=36 sec
ANSWER :C
Answer: C
Question: In the coordinate plane a slope of the line K is 3/2 times the x-intercept of the line K. What is the y-intercept of the line K?
Options:
A)-4
B)4
C)-1/4
D)1/4
E)2/3
Rationale: As 3/2y=mx+c, from 3/2y=0+m we get y=2/3. Hence, the correct answer choice is E.
Answer: E
Question: The average monthly salary of 20 employes in an organisation is Rs.1500. If the manager's salary is added, then the average salary increases by Rs.100. What is the manager's monthly salary?
Options:
A)Rs. 2000
B)Rs. 2400
C)Rs. 3600
D)Rs. 4000
E)None
Rationale: Solution
Manager's monthly salary	= Rs.(1600x21-1500x20)
= Rs. 3600
Answer C
Answer: C
Question: What percent of 6.3 kg is 25 gms ?
Options:
A)39
B)66
C)288
D)19
E)17
Rationale: Explanation:
Required percentage = (25/63000 * 100)% = 39/100% = 0.39%
Answer: A) .39%
Answer: A
Question: x = 13.175
y = 7.496
z = 11.545
The number A is obtained by first rounding the values of x, y, and z to the hundredths place and then adding the resulting values. The number B is obtained by first adding the values of x, y, and z and then rounding the sum to the hundredths place. What is the value of A – B?
Options:
A)0.01
B)0.02
C)0.03
D)0.1
E)0.2
Rationale: Rounding off the values:
x = 13.18
y = 7.50
z = 11.55
A = 13.18 + 7.50 + 11.55 = 32.23
x + y + z = 13.175 + 7.496 + 11.545 = 32.206
B = 32.21
A - B = 0.02
Option B
Answer: B
Question: If X+Y = 2X+Z, X-2Y = 4Z and X+Y+Z = 21, what is the value of Y/Z?
Options:
A)-4.5.
B)-2.
C)-1.7.
D)3.
E)6.
Rationale: X+Y = 2X+2Z
Y= X+2Z---------- 1
X-2Y = 4Z
X-4Z= 2Y--------- 2
Subtracting equation 1 from equation 2
-6Z= Y
Y/Z= -6
E is the answer
Answer: E
Question: Find the next number ?
7,14,55,110,?
Options:
A)111
B)121
C)131
D)141
E)512
Rationale: 7 + 7=14
reverse the 14 so 41
41+14=55
55 reverse so 55
55 +55=110
reverse the 110 is 011 so
110+011=121
ANSWER:B
Answer: B
Question: A 300 meter long train crosses a platform in 54 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Options:
A)99
B)289
C)350
D)882
E)600
Rationale: Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 54 = 50/3
3(x + 300) = 2700 è x = 350m.
Answer: E
Answer: E
Question: Four boys and three girls stand in queue for an interview. The probability that they stand in alternate positions is?
Correct
Options:
A)1/35
B)1/34
C)1/68
D)1/17
E)1/18
Rationale: Total number of possible arrangements for 4 boys and 3 girls in a queue = 7!
When they occupy alternate position the arrangement would be like:
B G B G B G B
Thus, total number of possible arrangements for boys = (4 x 3 x 2)
Total number of possible arrangements for girls = (3 x 2)
Required probability = (4 x 3 x 2 x 3 x 2)/7!
= 1/35
ANSWER:A
Answer: A
Question: John purchased a grinder and a mobile for Rs. 15000 &Rs. 8000 respectively. He sold the grinder at a loss of 2% and the mobile phone at a profit of 10%. Overall how much he make a profit.
Options:
A)s. 90
B)s. 120
C)s. 200
D)s. 250
E)s. 500
Rationale: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.
r = 15000(1 - 2/100) = 15000 - 300
m = 8000(1 + 10/100) = 8000 + 800
Total SP - Total CP = r + m - (15000 + 8000) = -300 + 800 = Rs. 500
As this is positive, an overall profit of Rs. 200 was made.
E
Answer: E
Question: players a to z play a league match in which every player plays a match against every other player. a win earns 2 points, a draw 1 point and loss 0 points. there were no draws, and no two players had the same total points. the rank list of the players happens to be the alphabetical list itself. which of the following statement is true?
Options:
A)n wins over m
B)m wins over n
C)m did not play against
D)All of them
E)none
Rationale: m wins over n
ANSWER:B
Answer: B
Question: What is the units digit of 18! + 5 ?
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: Any number above 4!, such as 5!, 6!, etc... are always multiples of 10, so their units digit is 0.
The units digit of 18! + 5 is 5.
The answer is D.
Answer: D
Question: The bankerâ€™s gain on a sum due 3 years hence at 17% per annum is Rs. 100. The bankerâ€™s discount is
Options:
A)Rs.960
B)Rs.840
C)Rs.296
D)Rs.760
E)None
Rationale: Solution
T.D	=(B.G x 100 / R x T)
= Rs.(100x100/17 x 3)
= Rs.196.
B.D
=Rs(196+ 100)
= Rs.296.
Answer C
Answer: C
Question: What is the difference between 80% of 170 and 35% of 300.
Options:
A)30
B)29
C)37
D)36
E)31
Rationale: (80/100) * 170 â€“ (35/100) * 300
136 - 105 = 31
Answer: E
Answer: E
Question: Find the ratio of purchase price and sell price if there is loss of 12 1/(2 )%
Options:
A)7/8
B)8/7
C)6/8
D)8/6
E)1/2
Rationale: If purchase price is Rs 100, then SP = Rs 87.5
so ratio of purchase price and sell price if there is loss of 12 1/(2 )% = 100/87.5= 8/7
ANSWER:B
Answer: B
Question: The angles of a triangle are in the ratio 1:3:16. Find the measurement of the largest of three angles of triangle.
Options:
A)90°
B)100°
C)120°
D)144°
E)160°
Rationale: If the ratio of the three angles is 1:3:16, then the measures of these angles can be written as x, 3x and 16x. Also the sum of the three interior angles of a triangle is equal to 180°. Hence
x + 3x + 16x = 180
Solve for x
20x = 180
x = 9
The measures of the three angles are
x = 9°
3x = 3 ×9 = 27°
16x = 16 × 9 = 144°
D
Answer: D
Question: From a bag containing 12 identical blue balls, y identical yellow balls, and no other balls, one ball will be removed at random. If the probability is less than 2/5 that the removed ball will be blue, what is the least number of yellow balls that must be in the bag?
Options:
A)17
B)18
C)19
D)20
E)21
Rationale: 12/x = 2/5
x = 30 total number of balls.
There must be at least 18 yellow balls in the bag.
Answer: B.
Answer: B
Question: City A to city B, Andrew drove for 1hr at 44 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
Options:
A)56
B)57.5
C)61
D)61.5
E)62.5
Rationale: The total distance is 1×44+3×60=224
And the total time is 4 hours. Hence,
Average Speed=(Total Distance/Total Time)
=224/4=56
A
Answer: A
Question: Mrs. Rodger got a weekly raise of $195. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Options:
A)$204
B)$231
C)$156
D)$195
E)$200
Rationale: Let the 1st paycheck be x (integer).
Mrs. Rodger got a weekly raise of $ 195.
So after completing the 1st week she will get $ (x+195).
Similarly after completing the 2nd week she will get $ (x + 195) + $ 195.
= $ (x + 195 + 195)
= $ (x + 390)
So in this way end of every week her salary will increase by $ 195.
D
Answer: D
Question: A box contains 14 pairs of shoes (28shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes?
Options:
A)1/190
B)1/20
C)1/19
D)1/27
E)1/9
Rationale: The problem with your solution is that we don't choose 1 shoe from 28 but rather choose the needed one AFTER we just took one and need the second to be the pair of it. So, the probability would simply be: 1/1*1/27(as after taking one at random there are 27 shoes left and only one is the pair of the first one)=1/27
Answer: D
Answer: D
Question: How much interest will $10,000 earn in 9 months at an annual rate of 10%?
Options:
A)$250
B)$350
C)$450
D)$60
E)$650
Rationale: Soln:-
9 months = 3/4 of year;
10% = 10/100=1/10;
$10,000(principal)*3/50(interest rate)*1/10(time)=$60.
ANSWER:D
Answer: D
Question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 14 with him, what was the average amount with the group before his joining the group?
Options:
A)s.17
B)s.20
C)s.15
D)s.21
E)s.19
Rationale: Total members in the group = 7
Average amount = Rs. 20
Total amount with them = 7 * 20 = Rs. 140
One number has Rs. 14. So, the amount with remaining 6 people = 140 - 14 = Rs. 126
The average amount with them = 126/6
= Rs.21.
Answer:D
Answer: D
Question: A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 4 days. How many more days are required to complete the remaining work if they work together?
Options:
A)2 (4/11)
B)3 (5/16)
C)3 (5/11)
D)3 (5/13)
E)3 (5/21)
Rationale: A can do 1/10 of the work in a day.
B can do 1/12 of the work in a 1 day.
Both of them together can do (1/10 + 1/12) part of work in 1 day = (6 + 5)/60 = 11/60
They take 60/11 days to complete the work together.
Given that they already worked for 4 days.
The number of days required to complete remaining work => 60/11 - 4 = 26/11 = 2 (4/11) days.
Answer:A
Answer: A
Question: Ayesha's father was 54 years of age when she was born while her mother was 44 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Options:
A)2 years
B)12 years
C)14 years
D)7 years
E)6 years
Rationale: Explanation:
Mother's age when Ayesha's brother was born = 44 years.
Father's age when Ayesha's brother was born = (54 + 4) = 58 years.
Required difference = (58 - 44) = 14 years.
Answer: Option C
Answer: C
Question: If 6 (A's capital) = 8 (B's capital) = 18 (C's capital). Then the ratio of their capitals is?
Options:
A)12:15:16
B)12:15:4
C)12:9:4
D)20:15:11
E)20:15:19
Rationale: 6A = 8B = 18 C
A:B:C = 1/6:1/8:1/18
= 12:9:4
Answer: C
Answer: C
Question: Find the amount on Rs.4000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
Options:
A)4368
B)2678
C)5460
D)1976
E)1671
Rationale: 4000 * 104/100 * 105/100 => 4368
Answer: A
Answer: A
Question: What is the median from the below series
52, 56, 59, 54, 60, 51, 63, 58, 53, 62, and 50
Options:
A)55
B)58
C)60
D)56
E)59
Rationale: Ordering the data from least to greatest, we get:
50, 51, 52, 53, 54, 56, 58, 59, 60, 62, 63
The median number was 56. (Five numbers were higher than 56 and five were lower.)
D
Answer: D