divelab/Sys2Bench huggingface dataset:
Question: All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
Options:
A)1775 liters
B)8176 liters
C)1467 liters
D)1184 liters
E)1886 liters
Rationale: B has 62.5% or (5/8) of the water in A. Therefore, let the quantity of water in container A(initially) be 8k.
Quantity of water in B = 8k - 5k = 3k.
Quantity of water in container C = 8k - 3k = 5k
Container: A B C
Quantity of water: 8k 3k 5k
It is given that if 148 liters was transferred from container C to container B, then both the containers would have equal quantities of water.
5k - 148 = 3k + 148
=> 2k = 296 => k = 148
The initial quantity of water in
A = 8k
= 8 * 148
=1184 liters.
Answer:D
Answer: D
Question: How many words with or without meaning, can be formed by using all the letters of the word, â€˜RAMâ€™, using each letter exactly once?
Options:
A)6
B)8
C)5
D)9
E)1
Rationale: The word â€˜RAMâ€™ contains 3 different letters.
Therefore, Required number of words= Number of arrangement of 3 letters, taken all at a time
=3P3
= 3!
= 3*2*1
= 6
ANSWER:A
Answer: A
Question: As part of a game, two people each must secretly choose an integer between 1 and 2, inclusive. What is the approximate likelihood that all two people will choose different numbers?
Options:
A)9%
B)12%
C)16%
D)20%
E)50%
Rationale: Ans:E
1st person has option no's- (1,2) - there fore probability of getting a no = 2c1/2c1 = 1
2nd person has only one option
- there fore probability of getting a no = 1c1/2c1 =1/2
=1*1/2 =50%
Answer: E
Question: Find (7x + 8y ) / (x-2y) if x/2y = 3/2 ?
Options:
A)24
B)25
C)26
D)27
E)29
Rationale: x/2y=3/2
=>x=6y/2=3y
=>(7x+8y)/(x-2y)=((7*(3y))+8y)/(3y-2y)
=>29y/y=29
ANSWER:E
Answer: E
Question: Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill?
Options:
A)A)1/8
B)B)1/3
C)C)1/9
D)D)1/2
E)E)1/4
Rationale: 1/10 + 1/15 = 1/6 * 4 = 2/3
1 - 2/3 = 1/3
1/10 + 1/15 - 1/x = 1/3
x = 8
Answer:B
Answer: B
Question: 80 pie square inches of material of negligible thickness are required to construct a 1/16 scale model of a cylindrical barrel. If the diameter of the base of the barrel is 160 inches, then what is the volume of the barrel, to the nearest cubic foot?
Options:
A)2pie
B)11pie
C)178 pie
D)711 pie
E)1280 pie
Rationale: radius of barrel, R=80
radius of model, r=80/16=5
surface area of the model =2∗pi∗r(r+h)=80∗pi
which gives h=3 and H=3∗16=48
So, volume of the barrel =pi∗R2∗H=pi∗(80)2∗(48) in cubic inches
Converting in cubic ft results: volume =pi∗(80)2∗(48)/(12)3=178pi cubic ft approximately
Answer [C]
Answer: C
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
Options:
A)12 kmph
B)13 kmph
C)14 kmph
D)15 kmph
E)16 kmph
Rationale: The ratio of the times taken is 2:1.
The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1) = 3/1 = 3:1
Speed of the stream = 42/3 = 14 kmph
ANSWER:C
Answer: C
Question: What is the units digit of (147^17)^47 ?
Options:
A)1
B)3
C)5
D)7
E)9
Rationale: The units digit of the exponents of 7 repeat in a cycle of four, which is {7,9,3,1}. The number 17 has the form 4n+1 so the units digit is 7 inside the bracket. The exponent 47 has the form 4n+3, so the units digit is 3. The answer is B.
Answer: B
Question: P is three times as old as Q. In 9 years, P will be twice as old as Q. How old was P three years ago?
Options:
A)18
B)21
C)24
D)27
E)30
Rationale: P = 3Q so Q = P/3
P+9 = 2(Q+9) = 2(P/3+9)
P/3 = 9
P = 27
Three years ago, P was 24.
The answer is C.
Answer: C
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Options:
A)210
B)220
C)240
D)250
E)260
Rationale: Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, x + 300 / 36 = 15
x + 300 = 540
x = 240 m.
Answer: Option C
Answer: C
Question: On a track for remote controlled racing cars, racing car A completes the track in 55 seconds, while racing car B completes it in 36 seconds. If they both start at the same time after how many seconds will they be side by side again.
Options:
A)275
B)325
C)1980
D)425
E)None of these
Rationale: Time required in seconds will be LCM ( 36, 55 ) = 1980
Hence, answer will be (C) 1980
Answer: C
Question: Data sufficiency question:
Is x has only '3' factors?
Options:
A)213
B)278
C)208
D)17
E)101
Rationale: Only squares of primes has 3 factors. For example, 4 has three factors. 1, 2, 4.
Now when we square 4, we get 16, which has 5 factors. 1, 2, 4, 8, 16. So Statement 1 is sufficient.
Statement two says that one of the factor must be prime number. 10 has 4 factors. i.e., 1, 2, 5, 10 and one of which is prime. but we cannot say whether numbers of this format always have three factors or not. So statement 2 is insufficient.
Answer:B
Answer: B
Question: Ramesh can finish a work in 15 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?
Options:
A)4 days
B)7 days
C)6 days
D)9 days
E)5 days
Rationale: (5 + x)/15 + 5/25 = 1 => x =7 days
ANSWER:B
Answer: B
Question: A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?
Options:
A)39:40
B)39:42
C)39:19
D)39:29
E)39:26
Rationale: 3: 4
A = 3/7*210 = 90
390: 400
39:40
Answer: A
Answer: A
Question: A manufacturer undertakes to supply 2000 pieces of a particular component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However, as it turned out, 50% of the components were rejected. What is the loss to the manufacturer?
Options:
A)Rs.12000
B)Rs.13000
C)Rs.14000
D)Rs.15000
E)Rs.16000
Rationale: Sale according to 5% loss = 1900*25 = 47500
original production cost = 47500/1.25 = 38000
Sale according to 50% loss = 10000* 25 = 25000
so loss = 38000-25000 = 13000
ANSWER:B
Answer: B
Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 25 as remainder. Find the no. is?
Options:
A)145646
B)236578
C)645353
D)456546
E)220025
Rationale: (555 + 445) * 2 * 110 + 25 = 220000 + 25 = 220025
E
Answer: E
Question: A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?
Options:
A)9
B)8
C)7
D)6
E)5
Rationale: (30*30)/100 = 9%loss
Answer: A
Answer: A
Question: A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is
Options:
A)2347
B)1277
C)2288
D)1250
E)7178
Rationale: Explanation:
speed = (5x5/18)m/sec
= 25/18 m/sec.
Distance covered in 15 minutes = (25/18 x 15 x 60)m
= 1250 m.
Answer: D) 1250
Answer: D
Question: When magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 0.3 centimeter. The actual diameter of the tissue, in centimeters, is
Options:
A) 0.005
B) 0.002
C) 0.001
D) 0.0003
E) 0.0002
Rationale: It is very easy if x is the diameter, then the magnified length is 1000x.
ince 1000x=0.3 then x=0.3/1000=0.0003.
The answer is D
Answer: D
Question: P, Q and R have Rs.6000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
Options:
A)Rs.3000
B)Rs.3600
C)Rs.2400
D)Rs.4000
E)None of these
Rationale: Let the amount with R be Rs.r
r = 2/3 (total amount with P and Q)
r = 2/3(6000 - r) => 3r = 12000 - 2r
=> 5r = 12000 => r = 2400.
ANSWER:C
Answer: C
Question: A 5-letter code word consists of letters A, B, C and D. If the code includes all the gour letters, how many such codes are possible?
Options:
A)72
B)48
C)36
D)240
E)18
Rationale: A-ABCD can be arranged in 5!/2!=60 ways;
B-ABCD can be arranged in 5!/2!=60 ways;
C-ABCD can be arranged in 5!/2!=60 ways;
D-ABCD can be arranged in 5!/2!=60 ways;
Total: 60+60+60+60=240.
Answer: D.
Answer: D
Question: Varma can read a book in k minutes. What part of the book can he read in 4 minutes?(k>8)
Options:
A)(k - 8)/k
B)k/8
C)8 + k
D)k-8
E)4/k
Rationale: Option E
Explanation:
Part of the book he can read in 1 minute = 1/k
Part of the book he can read in 8 minutes =4/k.
Answer: E
Question: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes?
Options:
A)430
B)288
C)761
D)122
E)234
Rationale: Let the total number of valid votes be x.
70% of x = 70/100 * x = 7x/10
Number of votes secured by the other candidate = x - 7x/100 = 3x/10
Given, 7x/10 - 3x/10 = 172 => 4x/10 = 172
=> 4x = 1720 => x = 430.
Answer:A
Answer: A
Question: A mixture contains milk and water in the ratio 5:4. On adding 30 litters of water, the ratio of milk to water becomes 5:7. Total quantity of milk & water before adding water to it?
Options:
A)90
B)120
C)80
D)70
E)60
Rationale: Explanation:
milk: water = 5:4
5x : 4x + 30 = 5 : 7
7[5x] = 5[4x + 30]
35x = 20x + 150
35x - 20x = 150
15x = 150
x = 10
The quantity of milk in the original mixture is = 5 : 4 = 5 + 4 = 9
9x = 90
Short cut method:
milk:water = 5 : 4
after adding 30 liters of water
milk:water = 5 : 7
milk is same but water increse 30liters then the water ratio is increse 3 parts
3 part -----> 30 liters
The quantity of milk in the original mixture is = 5 : 4 = 5 + 4 = 9
9 parts -----> 9 liters (Answer is = 90)
Short cut method - 2 : for Only milk problems
milk : water
5 : 4
5 : 7
milk ratio same but water ratio 3 parts incress per 30 liters
3 part of ratio -------> 30 liters
1 part of ratio -------> 10 liters
9 part of ratio ------> 90 liters
Answer: Option A
Answer: A
Question: While house hunting in London, I came across a very good leasehold property Discussing the lease the landlady told me:
The property was originally on a 99 years lease and two-thirds of the time passed is equal to four-fifths of the time to come. Now work it out for yourself and see how many years are to go!
Options:
A)45 Years
B)49 Years
C)41 Years
D)36 Years
E)30 Years
Rationale: A
45 Years
Answer: A
Question: If {h} denote the remainder when 3h is divided by 2 then which of the following is equal to 1 for all positive integers h?
I. {2h+1}
II. {2h}+1
III. 2{h+1}
Options:
A)I only
B)II only
C)I and II
D)III only
E)II and III
Rationale: C - I and II
3h/2 = 0 or 1
I just substituted 1 in the equations and solved.
Answer: C
Question: At what price must an article costing Rs.150 be marked in order that after deducting 10% from the list price. It may be sold at a profit of 30% on the cost price?
Options:
A)62.5
B)62.0
C)62.6
D)216.67
E)62.2
Rationale: CP = 150
SP = 150*(130/100) = 195
MP*(90/100) = 195
MP = 216.67
Answer: D
Answer: D
Question: A boat can travel 1.5 times the distance down the stream than up the stream in the same time. If the speed of the current is 4 KMPH, Find the speed of the boat in still water
Options:
A)5
B)10
C)15
D)20
E)25
Rationale: Simple question, messy language.
Lets say boat's speed is B and current's speed is C.
Upstream speed : B - C
Downstream speed : B + C
Distance will be the same both times. lets say D.
given : time it takes upstream = 1.5 times time it takes downstream
D/(B + C) = 1.5 * [D/(B - C)]
Solving B = 5 C
given : C is 4 KMPH
So B is 20 KMPH
D
Answer: D
Question: Set A consists of all the prime numbers between 15 and 36. What is the range of set A?
Options:
A)12
B)13
C)14
D)17
E)23
Rationale: The range of a set of data is the difference between the highest and lowest values in the set
In this set,
Highest number = 31
Lowest number = 17
Range = Highest - Lowest = 31 - 17 = 14
Option C
Answer: C
Question: Peter has six times as many dimes as quarters in her piggy bank. She has 21 coins in her piggy bank totaling $2.55
How many of each type of coin does she have?
Options:
A)16
B)17
C)18
D)19
E)20
Rationale: Solution
Let x be the number of quarters. Let 6x be the number of dimes
Since one quarter equals 25 cents, x quarters equals x × 25 cents or 25x cents
Since one dime equals 10 cents, 6x dimes equals 6x × 10 cents or 60x cents
Since one 1 dollar equals 100 cents, 2.55 dollars equals 2.55 × 100 = 255 cents
Putting it all together, 25x cents + 60x cents = 255 cents
85x cents = 255 cents
85x cents / 85 cents = 255 cents / 85 cents
x = 3
6x = 6 × 3 = 18
Therefore Peter has 3 quarters and 18 dimes
Answer C
Answer: C
Question: For what value of x, is |x – 5| + |x + 5| + |x| = 27?
Options:
A) 0
B) 3
C) -3
D) 9
E) -9
Rationale: For what value of x, is |x – 5| + |x + 5| + |x| = 27?
It's easiest just to plug in answer choices:
(D): 9
|x – 5| + |x + 5| + |x| = 27?
|9 - 5| + |9 + 5| + |9| = 27?
|4| + |14| + |9| = 27
(D)
Answer: D
Question: If a - b = 4 and a2 + b2 = 30, find the value of ab.
Options:
A)A)7
B)B)12
C)C)15
D)D)18
E)E)20
Rationale: Explanation:
2ab = (a2 + b2) - (a - b)2
= 30 - 16 = 14
ab = 7
Answer: A
Answer: A
Question: If n is an even integer, then which of the following must be an odd integer?
Options:
A)2n
B)3n
C)3n + n^2 + 2
D)n^2 + 1
E)2n + n^2
Rationale: Answer: D
A: 2n = even
B: 3n = even
C: 3n + n^2 + 2 = even
D: n^2 + 1 = odd
E: 2n + n^2 = even
Answer: D
Answer: D
Question: x, y, and z are three positive integers whose average is 10. If x≤y≤z and z-x=3, which of the following could be the median E of x, y, and z?
I. 9
II. 10
III. 11
Options:
A)I only
B)II only
C)III only
D)I and II only
E)I and III only
Rationale: Average gives us an idea that 3 nos. are close to 10.
so 10, 10, 10 is an unacceptable option because (z-x =3), but it helps in getting other combinations.
Let us see options.
If 9 has to be median E.
1st term has to less than 9 or equal to 9. (also maintain z-x = 3)
9 9 12 --> satisfies all conditions so 9 can be a median value.
If 11 has to be a median
3rd term has to be 11 or more than 11. (also maintain z-x = 3)
8 11 11 -->satisfies all conditions so 9 can be a median value.
Now for 10 to be median.
z+ x = 20 and z-x = 3, we wont have integer values of z.
10 cannot be a median
E is the answer.
Answer: E
Question: Three years ago the average age of a family of 4 members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
Options:
A)A)7
B)B)6
C)C)5
D)D)4
E)E)3
Rationale: 4 * 22 = 88
5 * 19 = 95
--------------
7
Answer: A
Answer: A
Question: A car was driving at 50 Km/h for 30 minutes, and then at 90 Km/h for another 40 minutes. What was its average speed?
Options:
A)102
B)80
C)75
D)70
E)65
Rationale: driving at 50 Km/h for 30 minutes ,distance covered = 50*1/2=25 km
driving at 90 km/h for 40 minutes ,distance covered = 90*2/3=60 km
average speed = total distance/total time = 85/5/6 = 102 km/h
Answer: A
Answer: A
Question: A big cube is formed by rearranging the 160 coloured and 56 non-coloured similar cubes in such a way that the exposure of the coloured cubes to the outside is minimum. The percentage of exposed area to the coloured is :
Options:
A)25.9%
B)44.44%
C)35%
D)61%
E)None of these
Rationale: Well the big cube which has the side built with 6 little cubes (6^3) will haveinsidethe cube which has the side built with 4 little cubes (6-2 edges), so 4^3... Similarly, the cube which has the side built with 4 little cubes (4^3) will haveinsidethe cube which has the side built with 2 little cubes, (4-2 edges), so 2^3... answer is B
Answer: B
Question: if 40% of (x-y) = 30% of (x+y) then what percent of x is y?
Options:
A)2.5%
B)10%
C)5%
D)14%
E)25%
Rationale: 40% of (x-y)=30% of(x+y)
(40/100)(x-y)=(30/100)(x+y)
4(x-y)=3(x+y)
x=7y
x=7y
therefore required percentage
=((y/x) X 100)% = ((y/7y) X 100) =14%
Answer is D.
Answer: D
Question: If the area of circle O is 16π, what is the length of an arc on the circle formed by a central angle measuring 10 degrees?
Options:
A)π
B)2π/9
C)2π
D)5π/2
E)8π
Rationale: Area = 16π
Radius = 4
Circumference = 2 x 4 x π = 8π
Angle forming the arc = 10 degrees. 10/360 = 1/36.
Therefore length of arc = 1/36 * 8π = 2π/9 - Answer choice B.
Answer: B
Question: In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
Options:
A)3 : 7
B)5 : 7
C)7 : 3
D)7 : 5
E)7 : 4
Rationale: Explanation:
By the rule of alligation:
Cost of 1 kg pulses of 1st kindCost of 1 kg pulses of 2nd kind
Required rate = 3.50 : 1.50 = 7 : 3.
ANSWER IS C
Answer: C
Question: Solve the equation for x : 6x - 27 + 3x = 4 + 9 - x
Options:
A)4
B)5
C)6
D)1
E)7
Rationale: Explanation:
9 x + x = 13 + 27
10 x = 40 => x = 4
Answer: A
Answer: A
Question: The value of 0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02/ 0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04	is:
Options:
A)0.215
B)0.512
C)0.521
D)0.125
E)0.152
Rationale: Given expression
=(0.1)(power 3) + (0.02)(power 3) /2(power 3) [(0.1)(power 3) + (0.02)(power 3)]
=1/8
= 0.125
Answer is D.
Answer: D
Question: A is older than B by 5years. Seven years hence, thrice A's age shall be equal to four times that of B. Find their present ages.
Options:
A)14, 7
B)10, 5
C)13, 8
D)12, 8
E)8, 12
Rationale: Explanation:
Let the present ages of A and B be 'a' and 'b' respectively.
3(a + 7)= 4( (b +7 ) --- (1) =>3a-4b=7 -------(1)
a-b = 5 -------(2) Solving (1) and (2) we get b=8
Substituting b = 8 in second equation, we get a= 13. Answer : C
=> 2a = 32 => a = 16.
Answer: C
Answer: C
Question: 365:90::623:?
Options:
A)36
B)45
C)123
D)63
E)none of these
Rationale: 365---3*6*5....90
623---6*2*3....36
answer A
Answer: A
Question: Each person in Room A is a student, and 1/6 of the students in Room A are seniors. Each person in Room B is a student, and 5/7 of the students in Room B are seniors. If 1 student is chosen at random from Room A and 1 student is chosen at random from Room B, what is the probability that exactly 1 of the students chosen is a senior?
Options:
A)5/42
B)37/84
C)9/14
D)16/21
E)37/42
Rationale: Probability of choosing senior from Room A=1/6, Non senior=5/6
Probability of choosing senior from Room B=5/7, Non senior=2/7
Reqd probability= (1/6*2/7)+(5/7*5/6)=27/42=9/14
Answer C
Answer: C
Question: if 1/8 of a pencil is black ½ of the remaining is white and the remaining 3 ½ is blue find the total length of the pencil?
Options:
A)8
B)5
C)7
D)6
E)4
Rationale: Let the total length be xm
Then black part =x/8cm
The remaining part=(x-x/8)cm=7x/8cm
White part=(1/2 *7x/8)=7x/16 cm
Remaining part=(7x/8-7x/16)=7x/16cm
7x/16=7/2
x=8cm
Answer is A.
Answer: A
Question: Cars P and Q are approaching each other on the same highway. Car P is moving at 47 mph northbound and Car Q is moving at 53 mph southbound. At 2:00 pm, they are approaching each other and 190 miles apart. Eventually they pass each other. At what clock time are they moving away from each other and 35 miles apart?
Options:
A) 3:30 pm
B) 3:45 pm
C) 4:00 pm
D) 4:15 pm
E) 4:30 pm
Rationale: Total distance, which should be covered by both cars is 190+35=225 miles.
Let t be the time so the equation will be 47t+53t=225 thus,
t=2.25 hours
Answer: D
Answer: D
Question: Jimâ€™s Taxi Service charges an initial fee of $2.0 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)$5.15
B)$4.45
C)$4.80
D)$5.05
E)$5.40
Rationale: Let the fixed charge of Jimâ€™s Taxi Service = 2 $
and charge per 2/5 mile(.4 mile) = .35$
Total charge for a trip of 3.6 miles = 2 + (3.6/.4) * .35
= 2 + 9*.35
= 5.15 $
Answer A
Answer: A
Question: The graphs of the two linear equations ax + by = c and bx - ay = c, where a, b and c are all not equal to zero,
Options:
A)are parallel
B)intersect at one point but not perpendicular
C)intersect at two points
D)perpendicular
E)none of the above
Rationale: find the slopes of the two lines
a x + b y = c , slope m1 = - a / b
b x - a y = c , slope m2 = b / a
m1*m2 = (- a / b)(b / a) = - 1
The two lines are perpendicular
ANSWER : D
Answer: D
Question: In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 16 years replaced by a new boy. The age of the new boy is?
Options:
A)12 years 8 months
B)15 years
C)16 years 4 months
D)17 years 10 months
E)17 years
Rationale: Total decrease = (20 x 2) months
= 3 years 4 months
Age of the new boy
= 16 years - 3 years 4 months.
= 12 years 8 months.
ANSWER:A
Answer: A
Question: Sally bought a dozen items at 120.00 per dozen. What will Sally have to sell each item for to generate a 15% profit?
Options:
A)10.15
B)11.5
C)15.0
D)21.5
E)150.0
Rationale: C.P. is 120/12=10
Desired profit=15%
The calculation for markup is (C.P.*desired profit/100)=10*15/100=1.5
The calculation for final sale price=C.P.+markup=10+1.5=11.5
ANSWER:B
Answer: B
Question: In an examination a pupil's average marks were 63 per paper. If he had obtained 22 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?
Options:
A)8
B)9
C)10
D)11
E)12
Rationale: Let the number of papers be x. Then,
63x + 22 + 2 = 65x
= 2x = 24
= x = 12.
ANSWER:E
Answer: E
Question: log3 N+log15 N what is 3 digit number N that will be whole number
Options:
A)3375
B)7292
C)8291
D)3929
E)2727
Rationale: No of values N can take is 1
15^3=3375
ANSWER:A
Answer: A
Question: The largest 4 digit number exactly divisible by 88 is?
Options:
A)A)9944
B)B)9954
C)C)9967
D)D)9969
E)E)9970
Rationale: Largest 4-digit number = 9999
88) 9999 (113
88
----
119
88
----
319
264
---
55
---
Required number = (9999 - 55)
= 9944.
A)
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Options:
A)277 m
B)268 m
C)276 m
D)150 m
E)125 m
Rationale: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train
= (Speed x Time) = (50/3 * 9) m
= 150 m.
Answer:D
Answer: D
Question: Find 10th term in the series 1, 3, 5, 7, ...
Options:
A)19
B)20
C)21
D)22
E)23
Rationale: SOLUTION:
a = 1
d = 3 – 1 = 2
10th term, t10 = a + (n-1)d = 1 + (10 – 1)2 = 1 + 18 = 19
ANSWER IS A
Answer: A
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 3 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Options:
A)s.2718
B)s.4586
C)s.4597
D)s.4530
E)s.4528
Rationale: Area of the four walls = 2h(l + b)
Since there are doors and windows, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.
Total cost = 906 * 3
=Rs.2718
Answer: A
Answer: A
Question: A sum was put at simple interest at a certain rate for 3 years Had it been put at 3% higher rate, it would have fetched 81 more. Find the sum.
Options:
A)500
B)600
C)700
D)800
E)900
Rationale: Difference in S.I. = P×T/100(R1−R2)
⇒ 81 = P×3x3/100(∵ R1 - R2 = 2)
⇒ P = 81×100/3x3=900
Answer E
Answer: E
Question: A car travels the first 1/3 of certain distance with a speed of 12km/hr the next 1/3 distance with a speed of 20 km/hr, and the last 1/3 distance with a speed of 60 km/hr. the average speed of the car for the whole journey is?
Options:
A)12km/hr
B)20km/hr
C)89km/hr
D)52km/hr
E)79km/hr
Rationale: Let the whole distance travelled be x km
and the average speed of the car for he whole journey be y km/hr
then (x/3)/12+(x/3)/20+(x/3)/60=x/y
x/36+x/60+x/180=x/y
1/20y=1
y=20km/hr
Answer(B)
Answer: B
Question: If a sum of money doubles itself in 8 years at simple interest, the ratepercent per annum is
Options:
A)12
B)12.5
C)13
D)13.5
E)14
Rationale: Explanation:
Let sum = x then Simple Interest = x
Rate = (100 * x) / (x * 8) = 12.5
Option B
Answer: B