divelab/Sys2Bench huggingface dataset:
Question: Two years ago, Sam put $1,000 into a savings account. At the end of the first year, his account had accrued $100 in interest bringing his total balance to $1,100. The next year, his account balance increased by 10%. At the end of the two years, by what percent has Sam's account balance increased from his initial deposit of $1,000 ?
Options:
A)19%
B)20%
C)21%
D)22%
E)25%
Rationale: investment 1000 dollars
1 st year total gained = 100
total amount end of first year = 1100
second year account increased by 10 % = 1100*0.1 = 110
therefore total amount by second year end = 1210
so total percentage increase in money = (1210-1000)*100/1000 = 21 %
ANSWER:C
Answer: C
Question: If the tens digit of positive integers m, y are 6, how many values of the tens digit of 2(m+y) can be there?
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: If the tens digit of positive integers m, y are 6, how many values of the tens digit of 2(m+y) can be there?
A. 2
B. 3
C. 4
D. 5
E. 6
-> If m=y=60, 2(m+y)=240 is derived. If m=y=69, 2(m+y)=276 is derived, which makes 4,5,6,7 possible for the tens digit. Therefore, the answer is C.
Answer: C
Question: A jar contains 3 black, 3 white and 1 green balls. If you pick two balls at the same time, what's the probability that one ball is black and one is white?
Options:
A)2/7
B)5/7
C)4/7
D)3/7
E)1/2
Rationale: P(1st black, 2nd white) = 3/7*3/6 = 9/42;
P(1st white, 2nd black) = 3/7*3/6 = 9/42.
P = 9/42 + 9/42 = 18/42 = 3/7.
Answer: D.
Answer: D
Question: A man buys an article for 12% less than its value and sells it for 12% more than its value. His gain or loss percent is:
Options:
A)no profit, no loss
B)20% profit
C)less than 25% profit
D)more than 25% profit
E)None
Rationale: Let the article be worth Rs. x.
C.P. 88% of Rs. x = Rs. 88x/100
S.P. = 112% of Rs. x = Rs. 112x/100
Gain = (112x/100 - 88x/100) = Rs.6x/25
Gain % = 6x/25 * 100/88x * 100 = 27 3/11 % > 25%
ANSWER:D
Answer: D
Question: If log8 x + log 8 1/6 = 1/3, then the value of x is:
Options:
A)12
B)16
C)18
D)24
E)26
Rationale: log8 x + log8 (1/6) = 1/3
=> (log x/ log 8) + (log 1/6 / log 8) = log (81/3) = log 2
=> log x = log 2 – log 1/6 = log (2*6/1)= log 12
ANSWER:A
Answer: A
Question: For what value of x between − 6 and 6, inclusive, is the value of x^2 − 10x + 16 the greatest?
Options:
A)− 6
B)− 2
C)0
D)2
E)6
Rationale: we can see from the statement that two terms containing x, x^2 will always be positive and -10x will be positive if x is -ive..
so the equation will have greatest value if x is -ive, and lower the value of x, greater is the equation.
so -6 will give the greatest value..
ans A
Answer: A
Question: A man can reach certain place in 50hours. If he reduces his speed by 1/10th, he goes 100km less in time. Find his speed?
Options:
A)20km/hr
B)30km/hr
C)40km/hr
D)50km/hr
E)60km/hr
Rationale: Let the speed be x km/hr
50x-50* 9/10 *x = 100
50x - 45x = 100
5x = 100
x = 20km/hr
Answer is A
Answer: A
Question: In how many years does a sum of Rs. 3000 yield a simple interest of Rs. 12500 at 15% p.a.?
Options:
A)27.7 years
B)26.7 years
C)25.7 years
D)24.7 years
E)23.7 years
Rationale: T = (100 * 12500)/(15 * 3000) = 27.7 years
ANSWER:A
Answer: A
Question: John and David can finish a job together in 2 hours. If John can do the job by himself in 3 hours, what percent of the job does David do?
Options:
A)36.33%
B)33.33%
C)39.33%
D)40.33%
E)33%
Rationale: You can also plug in numbers. For example, Bob and Alice work at a donut factory and make 18 donuts which is the job ( I picked this as a SMART number).
John on his own works 18/3 = 6 donuts per hour.
John and David work 18/2 = 9 donuts per hour so David works 3 donuts/hour
To find out the percentage, David works 3 donuts/hr x 2 hours = 6 donuts per hour.
Therefore 6 donuts/18donuts = 1/3 = 33.33%
Answer : B
Answer: B
Question: What is the Compound Interest on Rs.6500 at 5.5% p.a. compounded half-yearly for 1 year.
Options:
A)369.42
B)762.42
C)162.42
D)362.42
E)333.42
Rationale: Compound interest : A = P(1 + r/n)nt
A = 6,862.42
C.I. >> 6,862.42 - 6500 >> Rs. 362.42
Answer:D
Answer: D
Question: Plane leaves from Chelsea every 25 minutes from West Ham airport. Air hostess told Frank Lampard that the plane had left 25 minutes ago and the next plane for Chelsea will leave at 7:00 p.m. At what time air hostess convey this information to Frank Lampard?
Options:
A)5:35 p.m
B)6:00 p.m
C)7:00 p.m
D)8:35 p.m
E)9:00 p.m
Rationale: Explanation:
Time of Frank Lampard last missed plane = 7:00 p.m - 25 min = 6:35 p.m
As this information has been given to Frank Lampard 25 minutes after the plane has already left, the air hostess gave the information at 6:35 p.m + 25 min = 7:00 p.m
Answer C
Answer: C
Question: By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
Options:
A)20 kmph
B)24 kmph
C)22 kmph
D)28 kmph
E)29 kmph
Rationale: A
20 kmph
Let the time taken to reach the destination be 3x hours. Total distance = 40 * 3x = 120x km
He covered 2/3 * 120x = 80x km in 1/3 * 3x = x hours So, the remaining 40x km, he has to cover in 2x hours. Required speed = 40x/2x = 20 kmph.
Answer: A
Question: The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 24,000 is made?
Options:
A)328897
B)120000
C)877888
D)277768
E)188871
Rationale: The value of the machine after two years = 0.8 * 0.8 * 1,50,000 = Rs. 96,000
SP such that a profit of Rs. 24,000 is made = 96,000 + 24,000 = Rs. 1,20,000
Answer: B
Answer: B
Question: K = wxyz, where w, x, y, z are prime numbers. Not including 1 and K, how many factors does K have?
Options:
A)7
B)14
C)21
D)28
E)35
Rationale: Suppose w = 2, x = 3, y = 5 and z = 7. Then wxyz = 210.
To find out how many factors 210 has, go through different combinations of the prime factors as follows. You don't even need to calculate the answers but I have done so here:
(factor #1) 2
(factor #2) 3
(factor #3) 5
(factor #4) 7
(factor #5) 2 x 3 = 6
(factor #6) 2 x 5 = 10
(factor #7) 2 x 7 = 14
(factor #8) 2 x 3 x 5= 30
(factor #9) 2 x 3 x 7 = 42
(factor #10) 2 x 5 x 7 = 70
(factor #11) 3 x 5 = 15
(factor #12) 3 x 7 = 21
(factor #13) 3 x 5 x 7 = 105
(factor #14) 5 x 7 = 35
Since we are not including 1 and 210, answer = 14
ANSWER:B
Answer: B
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
Options:
A)3/5
B)3/2
C)3/8
D)3/9
E)3/1
Rationale: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 ==> 27 x + 17 y = 23 x + 23 y ==> 4 x = 6 y ==> x/y = 3/2.
Answer: B
Answer: B
Question: A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?
Options:
A)20.98
B)20.93
C)20.95
D)20.92
E)20.91
Rationale: 81 ---- 17
100 ----- ? è 20.98%los
Answer: A
Answer: A
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 9 p.c?
Options:
A)38028
B)36400
C)32977
D)38128
E)38982
Rationale: CP + CP/8 = 45000
CP = 40000
SP = 40000*(95/100)
= 36400
Answer:B
Answer: B
Question: In how many ways can three boys can be seated on five chairs?
Options:
A)60
B)15
C)30
D)10
E)20
Rationale: There are three boys.
The first boy can sit in any of the five chairs (5 ways).
5
Now there are 4 chairs remaining. The second boy can sit in any of the four chairs (4 ways).
5	4
Now there are 3 chairs remaining. The third boy can sit in any of the three chairs (3 ways).
5	4	3
Hence, total number of ways in which 3 boys can be seated on 5 chairs
=5×4×3=60
Ans: A
Answer: A
Question: A basket has 4 apples and 3 oranges. Two fruits are picked at random. The probability that at least 2 apples are picked is
Options:
A)2/7
B)2/9
C)3/7
D)3/10
E)4/7
Rationale: Total fruits = 7Since there must be at least two apples,4C2/7C2=2/7Answer:A
Answer: A
Question: Find a sum for first 11 prime numbers?
Options:
A)122
B)160
C)129
D)132
E)134
Rationale: Required sum = (2 + 3 + 5 + 7 + 11+13+17+19+23+29+31) = 160
Note: 1 is not a prime number
Option B
Answer: B
Question: Find the 18th term of an arithmetic progression whose first term is 4 and the common difference is 5.
Options:
A)45
B)38
C)72
D)74
E)78
Rationale: n th term of A.P = a +(n-1) *d
= 4+(18-1)*4 , = 4 + 68 = 72.
ANSWER:C
Answer: C
Question: The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
Options:
A)70 km/hr
B)75 km/hr
C)84 km/hr
D)87.5 km/hr
E)85 km/hr
Rationale: Let the speed of two trains be 7x and 8x km/hr.
Then, 8x = 400/4 = 100
x = 100/8 = 12.5
Speed of first train = (7 x 12.5) km/hr = 87.5 km/hr.
Answer:D
Answer: D
Question: When Jessica withdrew $400 from her bank account, her account balance decreased by 2/5. If she deposits an amount equal to 1/4 of the remaining balance, what will be the final balance in her bank account?
Options:
A)300
B)375
C)400
D)500
E)750
Rationale: As per the question 400=2a/5
thus- a which is the total amount =1000
The amount thus left =600
She then deposited 1/4 of 600=150
total amount in her account =750
answer E
Answer: E
Question: A thief is noticed by a policeman from a distance of 300 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes ?
Options:
A)50 meter
B)100 meter
C)110 meter
D)120 meter
E)200 meter
Rationale: Explanation:
Relative speed of the thief and policeman = (11 – 10) km/hr = 1 km/hr
Distance covered in 6 minutes =
1/60∗6=1/10=100meters
So distance between them after 6 minutes = 300 - 100
= 200 meters
Option E
Answer: E
Question: If in k+1 years from now John will be m years old, then how old was John t-1 years ago?
Options:
A)m-k-t
B)m+k-t+2
C)m+k-t+1
D)k-m-t+2
E)k+t-m
Rationale: Age t-1 years ago is m - k - 1 - ( t - 1 )
Or, Age t-1 years ago is m - k - 1 - t + 1
Or, Age t-1 years ago is m - k - t
Hence, Answer will definitely be (A) m - k - t
Answer: A
Question: On average, Machine A will produce a completed item once every four minutes, and Machine B will produce a completed item once every five minutes. The number of items Machine A produces in a 24-hour period is approximately what percent greater than the number of items Machine B would produce in that same period?
Options:
A)25%
B)15%
C)45%
D)33%
E)55%
Rationale: Machine A: 1 item in 4 minutes --> 1/4 items in 1 minute;
Machine B: 1 item in 5 minutes --> 1/5 items in 1 minute.
In the same time period, Machine A produces (1/4-1/5)/(1/5)*100=~25% more items than machine B.
Answer: A.
Answer: A
Question: A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 14 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?
Options:
A) 2,060
B) 1,320
C) 545
D) 364
E) 220
Rationale: 14*13*12/3*2*1 = 364
D
Answer: D
Question: Three 6 faced dice are thrown together. The probability that all the three show the same number on them is?
Options:
A)1/38
B)1/32
C)1/39
D)1/36
E)1/32
Rationale: It all 3 numbers have to be same basically we want triplets. 111, 222, 333, 444, 555 and 666. Those are six in number. Further the three dice can fall in 6 * 6 * 6
= 216 ways.
Hence the probability is 6/216
= 1/36
Answer:D
Answer: D
Question: If m and n are positive integers of I such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ?
Options:
A)2m/n + 1
B)2n/m + 1
C)2n/(m+1)
D)2m/n
E)2n/m
Rationale: Lets say N=10, M=5
2N=20. so the answer should be 4 (20/5)
lets try to plug in the answers:
A-not an integer
B-not an integer
C-not an integer
D-1 (not the answer)
E-4 - the answer. (the only one).
I would choose E.
Method 2
N=M*A (A is an integer)
So - A=N/M
therefore in 2N A will be 2N/M
Again - Answer is E.
Answer: E
Question: Which of the following numbers is divisible by 5?
Options:
A)3221
B)6175
C)6231
D)5813
E)4251
Rationale: 6175. This is the only option with last two digits divisible by 5
Answer:B
Answer: B
Question: In how many ways 4 boys and 2 girls can be seated in a row so that they are alternate.
Options:
A)48
B)288
C)12
D)256
E)None
Rationale: Solution: Let the Arrangement be,
B G B G B B
4 boys can be seated in 4! Ways.
Girl can be seated in 2! Ways.
Required number of ways,
= 4!*2! = 48
Answer: Option A
Answer: A
Question: If Sn is the sum of the first n terms of a certain sequence and if Sn = n(n+2) for all positive integers n, what is the third term of the sequence?
Options:
A)3
B)4
C)6
D)8
E)9
Rationale: Tn = nth term
T1 = 1st term
T2 = 2nd term
and so on...
Sn = Sum of first n terms of the sequence
Sn = 1st term + 2nd term + 3rd term + ... + nth term
Sn = T1 + T2 + T3 + ....Tn
You are given here thatSn is the SUM of first n terms...So you have
Sn = T1 + T2 + T3 + ....Tn = n(n+1)
So S1 = T1
S2 = T1 + T2
S3 = T1 + T2 + T3
and so on
S1 = T1 = 1*(1+1) = 2
S2 = T1 + T2 = 2 + T2 = 2*(2+1) = 6
So T2 = 4
S3 = T1 + T2 + T3 = 2 + 4 + T3 = 3*(3+1) = 12
So T3 = 6
(This is what we wanted)
The third term is 4.
B
Answer: B
Question: In a class,10 students like to play Basketball and 8 like to play Cricket. 4 students like to play on both Basketball and Cricket. How many students like to play Basketball or Cricket or both?
Options:
A)12
B)15
C)16
D)18
E)14
Rationale: Draw a Venn Diagram yourself !
B + C - BC = Number of students that play either Basketball or Cricket
10 +8 - 4 = 14
E)
Answer: E
Question: Set R has a mean of 12 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most?
Options:
A){15, 16}
B){3, 4}
C){6, 7}
D){5, 6}
E){11, 13}
Rationale: The lesser the variance( values closer to mean) ,lower the standard deviation. As discussed in question the mean is 12,the values (11,13) are closer than others.
Hence Answer : E
Answer: E
Question: If the height of a triangle is decreased by 40%, land its base is increased by 40%, what will be the effect on its area?
Options:
A)No change
B)16% increase
C)8% decrease
D)16% decrease
E)None of thes
Rationale: Regd effect = ∣∣40−40−40×40100∣∣%=−16%|40−40−40×40100|%=−16%
i.e., the area will decrease by 16%
Answer D
Answer: D
Question: 2 log10 5 + log10 8 – ½ log10 4 = ?
Options:
A)2
B)4
C)2 + 2 log10 2
D)4 - 4 log10 2
E)6
Rationale: 2 log10 5 + log10 8 – ½ log10 4
= log10 (52) + log10 8 - log10 (41/2)
= log10 25 + log10 8 - log10 2 = log10 (25*8)/2
= log10 100 = 2
ANSWER:A
Answer: A
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
Options:
A)20%
B)25%
C)13 1/30%
D)12%
E)13%
Rationale: SP2 = 2/3 SP1
CP = 100
SP2 = 80
2/3 SP1 = 80
SP1 = 120
100 --- 20 => 20%
ANSWER:A
Answer: A
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
Options:
A)15
B)17
C)12
D)16
E)13
Rationale: Let the breadth of the plot be b m.
Length of the plot = 3 b m
(3b)(b) = 867
3b2 = 867
b2 = 289 = 172 (b > 0)
b = 17 m.
Answer: Option B
Answer: B
Question: The ratio of boys and girls in a college is 5:6.if 25% of boys and 25%of girls are scholarship holders.then what percentage of students does not get the scholarship?
Options:
A)89%
B)78%
C)85%
D)65%
E)75%
Rationale: Ratio of boys : girls => 5x : 6x
Total no. of students including boys nd girls = 5x+6x = 11x
25% of boys => 5x*25/100 = 5x/4
25% of girls => 6x*25/100 =3x/2
No. of students getting scholorship => 5x/4 + 3x/2 = 11x/4
No. of students does not get the scholorship = 11x - 11x/4 = 33x/4
% of students not getting scolorship => 33x/4/11x * 100
=> 100*33x/44x
= 75%
ANSWER:A
Answer: A
Question: A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to?
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: Let A's speed = x km/hr. Then, B's speed = (7 - x) km/ hr.
So, 24/x + 24/(7 - x) = 14
x2 - 98x + 168 = 0
(x - 3)(x - 4) = 0 => x = 3 or 4.
Since, A is faster than B, so A's speed = 4 km/hr and B's speed = 3 km/hr.
Answer:B
Answer: B
Question: If population of certain city increases at the rate of 4%. If population in 1981 was 138910, then population in 1979 was?
Options:
A)12,0000
B)130000
C)128130
D)627000
E)12690
Rationale: Explanation:
X * (104/100) * (104/100) = 138915
X = 138910/1.0816
X = 128130
Answer: Option C
Answer: C
Question: Silk is purchased for $250 per square yard at the Silk Market. The silk is cut into patterns and made into s-size shirts - the excess silk is discarded (1/5 of the silk material). The area is 2 square yards in the pattern that makes 1 side of an s-size shirt. If 2 sides make one shirt, how much money is needed to buy silk to make x number of s-size shirts, in dollars?
Options:
A)2x
B)15x/8
C)850x
D)1,250x
E)3,000x/2
Rationale: The initial cost for a square yard of silk is = $250.
It takes 2 square yards of silk to make one side of an s-size shirt, but 1/5 of the material is wasted in cutting the material into patterns. The cost is; therefore, (1 square yard)(1 - 1/5) = $250, and so, 1 square yard = $250(5/4) for useful silk.
Because it takes 2 square yards to make one side, and 2 sides to make one shirt:
(2)(2)($250(5/4) = $1,250 = cost 1 shirt.
So, x number of shirts cost $1,250x
Answer is D
Answer: D
Question: Two cars cover the same distance at the speed of 56 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
Options:
A)373
B)338
C)448
D)838
E)939
Rationale: Explanation:
56(x + 1) = 64x
X = 7
56 * 8 = 448 km
Answer: Option C
Answer: C
Question: Insert the missing number. 12, 25, 49, 99, 197, 395, (...)
Options:
A)789
B)722
C)812
D)779
E)1579
Rationale: Each number is twice the previous one with 1 added or subtracted alternatively.
Answer is A.
Answer: A
Question: A certain board game is played by rolling a pair of fair six-sided dice and then moving one's piece forward the number of spaces indicated by the sum showing on the dice. A player is frozen if her opponent's piece comes to rest in the space already occupied by her piece. If player A is about to roll and is currently five spaces behind player B, what is the probability that player B will be frozen after player A rolls?
Options:
A)1/12
B)5/36
C)1/9
D)1/3
E)17/36
Rationale: no. of possible outcomes = 6*6 = 36
no. of outcomes that result a total of 5 (as A is 5 spaces behind B) = 4 ( (1,4), (2,3), (3,2), (4,1) )
So, the probability = 1/9 (Option C)
Answer: C
Question: Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?
Options:
A)1500
B)1000
C)2000
D)3000
E)3500
Rationale: (x*5*1)/100 + [(2500 - x)*6*1]/100 = 140
X = 1000
ANSWER B
Answer: B
Question: Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 50 films, and broke even on none of them, how many of their films were profitable?
Options:
A)18
B)19
C)20
D)21
E)49
Rationale: After fiddling some more, this is how I got to answer choice E...but did I get here using voodoo math or is it sound?
(.60*.75) + (.40*.25) = .44 + .10 = .55
55/100 = 11/20
Then subtract from 50:
50 - 11/20 = 49 (answer E)
Answer: E
Question: A number is missing from the number series below.
Can you find it ?
84, 155, ?, 399 , 584, 819.
Options:
A)275
B)350
C)399
D)258
E)449
Rationale: D
The missing number is 258.
84 = 4^3 + 3^2 + 4
155 = 5^3 + 5^2 + 5
399 = 7^3 + 7^2 + 7
584 = 8^3 + 8^2 + 8
819 = 9^3 + 9^2 + 9
Thus,
258 = 6^3 + 6^2 + 6
Answer: D
Question: Total dinning bill for 7 people was $211.00.If they add 15% tip and divided the bill evenly ,
approximate.What was each persons find share$
Options:
A)30.14
B)34.66
C)32.4
D)32.29
E)33.16
Rationale: (211*15/100)=31.65
(211+31.65)/7=34.66
ANSWER:B
Answer: B
Question: sushi decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. If sushi 's savings by the end of the year from these monthly savings were seven times the amount she spent per month, what should be the fraction of her salary that she spent each month?
Options:
A)12/19
B)12/20
C)19/12
D)12/17
E)12/13
Rationale: Let sushi's monthly savings = S
sushi's monthly pay = P
sushi's monthly expenditure = P-S
sushi's savings by the end of the year from these monthly savings were seven times the amount she spent per month
12S = 7*(P-S)
=>12/7 S = P-S
=> P = 19/7 S
sushi's monthly expenditure = P-S = 19/7S-S = 12/7S
fraction of her salary that sushi spent each month = 12/7S / 19/7S=P-S/P = 12/19. Answer is A
Answer: A
Question: In an election between the two candidates, the candidates who gets 70% of votes polled is winned by 160 vote’s majority. What is the total number of votes polled?
Options:
A)750
B)400
C)800
D)850
E)None of these
Rationale: Explanation:
Note: majority (40 %) = difference in votes polled to win (70 %) & defeated candidates (30 %)
40 % = 70 % - 30 %
40% -----> 160 (40*4 = 160)
100% -----> 400 (100*4 = 400)
Answer: Option B
Answer: B
Question: Prints a page 30 pg per min .If the printed for 2 hours except 10 min.Where there
was an paper jam,how many page did it print
Options:
A)10,880
B)3,300
C)14,880
D)8,880
E)18,880
Rationale: 30 pages ------->1 min
2 hrs except 10 mints means=2*60=120-10=110 mints
i.e.,110*30=3300 pages printed.
ANSWER:B
Answer: B
Question: solve this logic number sequence( based on circles in digits) puzzle by the correct digit?
8080=6
1357=0
2022=1
1999=3
6666=?
Options:
A)6
B)4
C)8
D)2
E)5
Rationale: Correct Answer : B
No. of circles in the number
Answer: B
Question: A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
Options:
A)32:48
B)32:40
C)32:45
D)32:46
E)32:41
Rationale: A : B
(8000*4)+(4000*8) : (9000*6)+(6000*6)
64000 : 90000
32 : 45
Answer: C
Answer: C
Question: A sum fetched total simple interest of 4016.25 at the rate of 11 p.c.p.a. in 5 years. What is the sum?
Options:
A)8925
B)8032.5
C)7302.3
D)8900
E)None of these
Rationale: Let the sums be P.
Now, 55% of P = 4016.25
or, P = 7302.3
Answer C
Answer: C
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 190 m long?
Options:
A)40 sec
B)42 sec
C)44 sec
D)48 sec
E)50 sec
Rationale: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 190 = 550 m
Required time = 550 * 2/25 = 44 sec
ANSWER:C
Answer: C
Question: An aeroplane covers a certain distance at a speed of 120 kmph in 4 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
Options:
A)520
B)288
C)820
D)740
E)720
Rationale: Distance = (240 x 5) = 480 km.
Speed = Distance/Time
Speed = 480/(5/3) km/hr. [We can write 1 2/3 hours as 5/3 hours]
Required speed = (480 x 3/5) km/hr = 288 km/hr
Answer B) 288 Km/hr
Answer: B
Question: The present worth of Rs.1183 due in 2 years at 4% per annum compound interest is
Options:
A)Rs.150.50
B)Rs.154.75
C)Rs.156.25
D)Rs.1093.75
E)None
Rationale: Solution
Present Worth	= Rs.[1183/(1+4/100)²]
= Rs.(1183x25/26x25/26)
= Rs.1093.75
Answer D
Answer: D
Question: A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 40 now, the son age 5 years back was
Options:
A)14
B)17
C)15
D)19
E)99
Rationale: Let the son's present age be x years .Then, (40 - x) = x x= 20.
Son's age 5 years back = (20 - 5) = 15 years
Answer: C
Answer: C