divelab/Sys2Bench huggingface dataset:
Question: When you multiply a number by 4 and
then subtract 6, the result is the same as
if you first subtracted 6 from the same
number and then multiplied by 10. What
is the number?
Options:
A)A)23
B)B)9
C)C)19
D)D)31
E)E)10
Rationale: Let x equal the number and then change the words into an equation and solve for x:
4x – 6 = 10(x – 6)
4x – 6 = 10x – 60
54 = 6x
9 = x
correct answer B)9
Answer: B
Question: The ages of two persons differ by 16 years. 4 years ago, the elder one was 3 times as old as the younger
one. What are their present ages of the elder person
Options:
A)15
B)20
C)28
D)30
E)35
Rationale: Explanation:
Let's take the present age of the elder person = x
and the present age of the younger person = x � 16
(x � 4) = 3 (x-16-4)
=> x � 4 = 3x � 60
=> 2x = 56
=> x = 60/2 = 28
Answer: Option C
Answer: C
Question: There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?
Options:
A)2160
B)3120
C)3972
D)6240
E)5240
Rationale: Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.
R = (100 * 60)/(100 * 6) = 10% p.a.
Now, P = Rs. 12000, T = 3 years and R = 10% p.a.
C.I. = [12000 * {(1 + 10/100)3 - 1}]
= 12000 * 331/1000 = Rs. 3972
ANSWER:C
Answer: C
Question: How many numbers with 3 different digits can be formed using only the even-numbered digit?
Options:
A)12
B)20
C)40
D)60
E)120
Rationale: Odd digits are 2, 4, 6, 8.
We want 2 different digits.
First digit can be chosen in 4 ways.
Second digit can be chosen in 3 ways.
Total ways = 4*3
= 12
Hence option (A).
Answer: A
Question: An electric motor makes 2,800 revolutions per minutes. How many degrees does it rotate in one second?
Options:
A)16.800 d/sec
B)28.000 d/sec
C)38.000 d/sec
D)26.000 d/sec
E)35.000 d/sec
Rationale: 2800 revolutions / minute
= 2800*360 degrees / 60 seconds
= 16,800 degrees / second
A
Answer: A
Question: In how many ways can the letters of the word ARRANGED be arranged?
Options:
A)20160
B)20180
C)20120
D)21021
E)20170
Rationale: ARRANGED has 8 words, but r is repeated two times. Thus ways = 8! / 2! = 20160 ways
A
Answer: A
Question: Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 49 years. What will be the age of the B ten years hence?
Options:
A)39
B)23
C)28
D)98
E)26
Rationale: Let the present ages of A, B and C be a, b and c respectively.
Given, [(a - 5) + (b - 5)] / 2 = 40 => a + b = 90 --- (1)
(b + c)/2 = 49 => b + c = 98 --- (2)
Answer: D
Answer: D
Question: Find compound interest on $ 4000 at 15% per annum for 2 years 4 months, compounded annually.
Options:
A)1554.5
B)1509.5
C)1108.5
D)1107.5
E)1100.5
Rationale: Time = 2 years 4 months = 2(4/12) years = 2(1/3) years.
Amount = $ [4000 X (1+­(15/100))2 X (1+((1/3)*15)/100)]
=$ [4000 * (23/20) * (23/20) * (21/20)]
= $ 5554.50	.
:. C.I. = Rs. (5554.50 - 4000) = $ 1554.50
Answer A.
Answer: A
Question: A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate?
Options:
A)2 1/4
B)2 1/9
C)2 1/6
D)2 1/5
E)2 1/2
Rationale: P ---- 2P ---- 8 years
2 1/4 P ---- 10 years
Answer: A
Answer: A
Question: A train 400 m long passes a man, running at 7 km/hr in the same direction in which the train is going, in 30 sec. The speed of the train is?
Options:
A)39 km/hr
B)40 km/hr
C)41 km/hr
D)42 km/hr
E)43 km/hr
Rationale: Speed of the train relative to man = 400/30 = 40/3 m/sec.
= 40/3 * 18/5 = 48 km/hr
Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.
x - 7 = 48 => x = 41 km/hr.
Answer: C
Answer: C
Question: A positive number x is multiplied by 4, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?
Options:
A) 9/4
B) 3/2
C) 4/3
D) 2/3
E) 1/2
Rationale: sq rt(4x/3) = x
=> 4x/3 = x^2
=> x = 4/3
Ans - C
Answer: C
Question: In a family 16 people eat only vegetarian, 9 people eat only non veg., 12 people eat both veg and non veg.. How many people eat veg in the family?
Options:
A)28
B)26
C)22
D)31
E)21
Rationale: Total people eat veg = only veg + both veg and non veg
Total= 16+12= 28
Answer = A
Answer: A
Question: A house seller can deduct 5 percent from the total sales value. If he has sold 5 houses, and the price of two houses is between $150,000 and $250,000, one of them is $350,000 house, two houses are between $500,000 and 750,000, what is the range of his revenue?
Options:
A)782.5
B)785
C)780
D)790
E)800
Rationale: taking away '000 thousand sfor easy calculation
(1) 2(150)+350+2(500) = 1650
1600*0.95=1567.5 (Revenue considering the minimum values with the discount)
(2) 2(250)+350+2(750) = 2350 (Revenue considering the maximum values without the discount)
So, the the revenue range could be = 2350 - 1567.5 = 782.5
A
Answer: A
Question: According to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . How many 15 - ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?
Options:
A)20
B)34
C)50
D)67
E)100
Rationale: Orange juice concentrate: water::1:3
total quantity of orange juice = 200*6 = 1200 oz
so Orange juice concentrate: water :: 300 oz:900 oz
no. of 15 oz can = 300 oz/15 oz = 20
Answer A, 20 cans
Answer: A
Question: If 9^y = 3^12, what is y?
Options:
A)1
B)3
C)4
D)5
E)6
Rationale: 3^2y = 3^12
2y=12, therefore y=6
E
Answer: E
Question: What is the sum of the digits of integer k, if k = (10^30- 54)
Options:
A)251
B)261
C)262
D)269
E)278
Rationale: There are 31 digits in 10^30
When we subtract 54 from it, there will be 30 digits left.
10^30 can be written as 9999999....(30 times) + 1
So,
10^30 - 54 = 9999999....(30 times) + 1 - 54 = 9999999....(30 times) - 53
Consider the last 2 digits,
99-53 = 46
The last 2 digits will be 46.
And our number would be 99999......99946 with 2 less 9s after subtraction.
Number of 9s left are 28 and the last two digits are 46
The sum of the digits will be
(28*9) + 4 + 6 =262
Answer:- C
Answer: C
Question: A person buys an article at Rs.350. At what price should he sell the article so as to make a profit of 30%?
Options:
A)455
B)277
C)269
D)261
E)281
Rationale: Cost price = Rs.350
profit = 30% of 350 = Rs.105
Selling price = Cost price + Profit
= 350 + 105 = 455
Answer: A
Answer: A
Question: If q and r are both odd numbers Z, which of the following must also be odd?
Options:
A)q – r
B)(q + r)^2
C)q(q + r)
D)(qr)^2
E)q/r
Rationale: We're told that q and r are both ODD numbers Z. We're asked which of the following must also be odd.
IF...
q = 1
r = 3
Answer A) q – r = 1-3 = -2 NOT odd
Answer B) (q + r)^2 = (1+3)^2 = 16 NOT odd
Answer C) q(q + r) = (1)(4) = 4 NOT odd
Answer D) (qr)^2 = (3)^2 = 9 This IS ODD
Answer E) q/r = 1/3 NOT odd
Final Answer:
D
Answer: D
Question: Find the numbers which are in the ratio 3 : 2 : 4 such that the sum of the first and the second added to the difference of the third and the second is 21 ?
Options:
A)9, 6, 16
B)9, 6, 11
C)9, 6, 17
D)9, 6, 12
E)9, 6, 19
Rationale: Let the numbers be a, b and c.
Given that a, b and c are in the ratio 3 : 2 : 4.
let, a = 3x, b = 2x and c = 4x
Given, (a+b) + (c - b) = 21
= > a + b + c - b = 21 = > a + c = 21
= > 3x + 4x = 21 = >7x = 21 = > x = 3
a , b , c are 3x, 2x, 4x.
Answer:D
a, b, c are 9 , 6 , 12.
Answer: D
Question: Given that E and F are events such that P(E) = 25, P(F) = 75 and P(E n F) = 75,
find P (E|F) and P(F|E)
Options:
A)5
B)46
C)52
D)12
E)3
Rationale: Here, E and F are events
P(E|F) = P(EnF)/P(F) = 75/25= 3
P(F|E) = P(EnF)/P(E) = 75/75 =1.
E)
Answer: E
Question: In Arun’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Arun and he thinks that Arun’s weight is greater than 60 kg but less than 70 kg. His mother’s view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Arun?
Options:
A)67 kg
B)68 kg
C)69 kg
D)66.5 kg
E)None of the above
Rationale: Let Arun’s weight be X kg.
According to Arun, 65 < X < 72.
According to Arun’s brother, 60 < X < 70.
According to Arun’s mother, X < 68.
The values satisfying all the above conditions are 66 and 67.
∴ Required average = (66+67/2)=(133/2)=66.5kg.
Answer D
Answer: D
Question: Find the area of a parallelogram with base 24 cm and height 16 cm.
Options:
A)345 cm2
B)384 cm2
C)156 cm2
D)657 cm2
E)887 cm2
Rationale: Area of a parallelogram
= base * height = 24 * 16
= 384 cm2
Answer: B
Answer: B
Question: Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 7.5 km apart, if they walk in the same direction?
Options:
A)12 hrs
B)14 hrs
C)15 hrs
D)17 hrs
E)None
Rationale: Sol.
to be 0.5 km apart, they take 1 hour.
To be 7.5 km apart, they take [1/0.5 * 7.5] hrs = 15 hrs.
Answer C
Answer: C
Question: A man sells a horse for Rs.420 and loses something, if he had sold it for Rs.620, his gain would have been double the former loss. Find the cost price of the horse?
Options:
A)27
B)66.6
C)55.2
D)60.6
E)71
Rationale: CP = SP + 1CP = SP - g
420 + x = 620 - 2x
3x = 200 => x = 66.6
Answer:B
Answer: B
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?
Options:
A)35 years
B)40 years
C)50 years
D)55 years
E)none of these
Rationale: Explanation:
Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.
Sum of the present ages of wife and child = (20 x 2 + 5 x 2) years = 50 years.
Husband's present age = (90 - 50) years = 40 years.
ANSWER: B
Answer: B
Question: A and B complete a job in 6 days. A alone can do the job in 8 days. If B works alone, how many days will it take to complete the job?
Options:
A)12
B)16
C)20
D)24
E)28
Rationale: The rate of A and B is 1/6
A's rate is 1/8
B's rate is 1/6 - 1/8 = 1/24
B can complete the job in 24 days.
The answer is D.
Answer: D
Question: Two buses and a van were employed to transport a class of students on a field trip. 3/5 of the class boarded the first bus. 1/3 of the remaining students boarded the second bus, and the rest of the students boarded the van. When the second bus broke down, 1/2 of the students on the second bus boarded the first bus. What fraction of the class was on board the first bus?
Options:
A)a) 7/10
B)b) 2/3
C)c) 11/15
D)d) 23/30
E)e) 4/5
Rationale: This is a pure ratio question (we aren't given any numbers for anything), so you can just choose any starting number you like, and use it to solve the problem. The best number to pick is almost always the product of all the denominators of your fractions, so here we could start with 30 students. Then we have:
• 3/5 of these, or 18 students, board the first bus
• there are 12 students left. 1/3 of these, or 6 students, board the second bus
• this bus breaks down, and 1/2 of the 6 students, or 3 students, board the first bus
• the first bus now contains 21 out of the original 30 students, so the answer is 21/30 = 7/10
Answer A
Answer: A
Question: n how many different ways can a group of 8 people be divided into 4 teams of 2 people each?
Options:
A)90
B)105
C)168
D)420
E)2520
Rationale: How many ways can you arrange the following:
T1 T1 T2 T2 T3 T3 T4 T4
That would be: 8!/(2!*2!*2!*2!)
Then also recall that we don't care about the differences between the teams, therefore
8!/(2!*2!*2!*2!*4!) = 105 ANS:B
Answer: B
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $55. What is the cost of the carpet, in dollars per square yard? (1 square yard = 3 square feet)
Options:
A)xy/297
B)11xy/3
C)3xy/11
D)165/(xy)
E)297xy
Rationale: The area of the carpet in feet is xy.
The area in square yards is xy / 3.
The price per square yard is 55 / (xy/3) = 165/(xy).
The answer is D.
Answer: D
Question: A certain roller coaster has 6 cars, and a passenger is equally likely to ride in any 1 of the 6 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 6 times, what is the probability that the passenger will ride in each of the 6 cars?
Options:
A)3/1944
B)1/96
C)2/96
D)1/1944
E)1
Rationale: If he is to ride 6 times and since he can choose any of the 6 cars each time, total number of ways is
= 6 * 6 * 6 * 6 * 6 * 6
= 46656
Now the number of ways if he is to choose a different car each time is
= 6 * 5 * 4 * 3 * 2 * 1
= 720
So the probability is
= 720/46656 = 3/1944
Answer : A
Answer: A
Question: For every integer n ≥ 3, the function g(n) is defined as the product of all the odd integers from 1 to n, inclusive. What is the value of g(99) – g(97)?
Options:
A)98
B)100
C)0
D)99
E)97
Rationale: g(99) = 1*3*5*7*9*...*99
g(97) = 1*3*5*7*9*...*97
g(99) - g(97) = 1*3*5*7*9*...*99 - 1*3*5*7*9*...*97 = 1*3*5*7*9*...*97*(99 - 1) = 1*3*5*7*9*...*97*98
hence:A.
Answer: A
Question: The juice stall at the circus stocked just 2 brands of orange juice tetra packs. Brand A costs $1 per pack and brand B costs $1.5 per pack. Last week , brand A contributed to q% of stall’s revenue and accounted for r% of sales of juice tetra packs. Which of the following expresses q in terms of r?
Options:
A)100r/(150 – r)
B)200r/(250-r)
C)200r/(300-r)
D)250r/(400-r)
E)300r/(500-r)
Rationale: 1. Let the number of units sold be 100. Then n units of A are sold and (100-n) units of B are sold.
Total revenue= Revenue due to A + Revenue due to B
= (No.of units of A sold * Cost/unit of A) + (No.of units of B sold * cost/unit of B)
= r *1 + (100-r) *1.5
= r + (150-1.5r) --- (1)
2. But we know, revenue due to A = q %. of the total revenue --- (2)
3. To express q in terms of r we need to relate (1) and (2)
4. q % = r / ( r + (150-1.5r))
or q = 100r / 150-0.5r = 200r/(300-r)
C
Answer: C
Question: The product of all the prime numbers less than 16 is closest to which of the following powers of 10 ?
Options:
A)10^9
B)10^8
C)10^7
D)10^6
E)10^5
Rationale: Product of Prime numbers less than 16 is 2*3*5*7*11*13
2*5=10 .
10*11*3*7*13 = 10*10*3*10*10 (approximately) ~ Product will be >10^4 <10^6 i.e. 10^5
E is the answer
Answer: E
Question: Can V and can В are both right circular cylinders. The radius of can V is twice the radius of can B, while the height of can V is half the height of can B. If it costs $4.00 to fill half of can B with a certain brand of gasoline, how much would it cost to completely fill can V with the same brand of gasoline?
Options:
A) $1
B) $2
C) $4
D) $8
E) $16
Rationale: Let x be the radius of b and 2h be the height of B. Therefore, radius of V = 2x and height = h
Vol of b = 3.14*x^2*2h
Vol of a = 3.14*4x^2*h
cost to fill half of B = $4 --> cost to fill full B = $8
--> 3.14*x^2*2h = 8 --> 3.14*x^2*h = 4 --> 4*(3.14*x^2*h) = $16
Ans E
Answer: E
Question: The area of circle O is added to its diameter. If the circumference of circle O is then subtracted from this total, the result is 2. What is the radius of circle O?
Options:
A)–2/pi
B)1
C)3
D)4
E)5
Rationale: pi*r^2 + 2r -2*pi*r = 2
Simplifying the equation: pi*r(r-2)+2r=2
Without much algebraic: We can Test the answers quickly, then 1 is the only possible answer that will eliminate pi from equation.
Answer is B
Answer: B
Question: BCB, DED, FGF, HIH, ___
Options:
A)KOP
B)QLM
C)JKJ
D)PSQ
E)IOP
Rationale: This series consists of a simple alphabetical order with the first two letters of all segments: B, C, D, E, F, G, H, I, J, K. The third letter of each segment is a repetition of the first letter.
ANSWER:C
Answer: C
Question: All the faces of cubes are painted with red colour.It is then cut into 64 equal small cubes.Find How many small cubes are there whose three faces are coloured ?
Options:
A)4
B)8
C)16
D)24
E)2
Rationale: There are 64 small cubes,Hence one side side of the big cube is 3√64=4 cm
Number of small cubes having three faces coloured = No. of corners = 8
Answer: B
Answer: B
Question: Jerry has 3 flavors of ice cream in his parlor. How many options are there for George to pick a one-flavor, two-flavor or three-flavor order?
Options:
A)2
B)3
C)4
D)7
E)8
Rationale: 3C1 + 3C2+ 3C3 = 7.
Ans D.
Answer: D
Question: A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?
Options:
A)229
B)288
C)600
D)888
E)121
Rationale: D = 30 * 5 = 150
RS = 40 – 30 = 10
T = 150/10 = 15
D = 40 * 15 = 600 km
Answer: C
Answer: C
Question: In a group of 1 boy and 9 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be selected?
Options:
A)60
B)68
C)76
D)84
E)92
Rationale: Number of ways to select four children is 10C4 = 210
Number of ways to choose only girls is 9C4 = 126
Number of ways that at least one boy is selected is 210 - 126 = 84
The answer is D.
Answer: D
Question: How much 60% of 50 is greater than 45% of 30?
Options:
A)18
B)91
C)16.5
D)17
E)12
Rationale: (60/100) * 50 – (45/100) * 30
30 - 13.5 = 16.5
Answer: C
Answer: C
Question: If 3-X < (2-5X)/3, which of the following is correct?
Options:
A)X < -7/2.
B)X > -5.
C)X > 5.
D)-5 < X < 0.
E)0 < X < 5.
Rationale: 3-X < (2-5X)/3
9-3X < 2- 5X
7 < -2X
-7/2>X
A is the answer
Answer: A
Question: The New York Classical Group is designing the liner notes for an upcoming CD release. There are 10 soloists featured on the album, but the liner notes are only 5 pages long, and therefore only have room for 5 of the soloists. The soloists are fighting over which of them will appear in the liner notes, though not about which page they appear on. How many different combinations R of soloists can appear in the liner notes?
Options:
A)5!
B)10!/(5!5!)
C)10!/5!
D)10!
E)10!*5!
Rationale: Total Soloists to choose from = 10
Soloist Required = 5
Question : How many different combinations R of soloists can appear in the liner notes?
The language of the question clearly mentions that only the combinations need to be calculated
i.e. Arrangement of the Soloists does NOT matter(Refer theHighlightedpart of the question)
Method-1:
Total Ways to Choose 5 out of 10 soloists = 10C5 = 10! / (5!*5!)
Method-2:
No. of ways to select and arrange 5 soloist on 5 Page = 10*9*8*7*6
Since the arrangement of 5 selected Notes (which can happen in 5! ways) doesn't NOT matter,
Therefore total ways to pick 5 out of 10 soloists = 10*9*8*7*6 / 5! = 10*9*8*7*6 *5! / (5!*5!) = 10! / (5!*5!)
Answer: Option B
Answer: B
Question: In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
Options:
A)1/80
B)1
C)40
D)1/40
E)80
Rationale: Let the required number of days be x.
Less cows, More days (Indirect Proportion)
Less bags, Less days (Direct Proportion)
Cows	1:40 :: 40 : x
Bags 40:1
1 * 40 * x = 40 * 1 * 40
x = 40.
Answer is C.
Answer: C
Question: A snooker tournament charges $45.00 for VIP seats and $20.00 for general admission (“regular” seats). On a certain night, a total of 320 tickets were sold, for a total cost of $7,500. How many fewer tickets were sold that night for VIP seats than for general admission seats?
Options:
A)200
B)276
C)230
D)240
E)250
Rationale: let no of sits in vip enclosure is x then x*45 +20( 320-x) =7500 or 25x = 7500 -6400 , x = 1100/25 =44
vip =44 general 320-44 = 276
B
Answer: B
Question: A bag has 9 green balls and 23 pink balls. How many green balls should be added to the bag so that the ratio of green balls and pink balls in the bag becomes 1:1?
Options:
A)10
B)11
C)12
D)13
E)14
Rationale: Suppose x green balls need to be added.
Then, the number of green balls becomes 9 + x, and the number of pink balls remains the same, 23.
But now the ratio of green and pink balls is 1:1
This means,
(9 + x)/23 = 1/1
Solving this we get x = 14.
Ans E
Answer: E
Question: A boat goes 8 km upstream in 24 minutes. The speed of stream is 4 km/hr. The speed of boat in still water is:
Options:
A)24 km/hr
B)25 km/hr
C)26 km/hr
D)23 km/hr
E)22 km/hr
Rationale: Speed upstream =8/(24/60) = 20 km/hr
Speed of the stream = 4 km/hr
speed of boat in still water = (20+4) = 24 km/hr
Answer : Option A
Answer: A
Question: If by reduction of rupee 1 per kg in the price,a person can buy one kg more for Rs.56. find the original price of the per kg?
Options:
A)7rs/kg
B)8rs/kg
C)9rs/kg
D)6rs/kg
E)5rs/kg
Rationale: for Rs.56 he can buy = 56/8rs = 7kg rice. (Original Price)
By reduction of Rs.1 per kg, = 56/7rs = 8kg rice. (As per reduction)
Original Price(8rs), he can buy = 7kg of rice
ANSWER:B
Answer: B
Question: Of the 500 employees in a certain company, 25 percent will be relocated to City X and the remaining 75 percent will be relocated to City Y. However, 40 percent of the employees prefer City Y and 60 percent prefer City X. What is the highest possible number of employees who will be relocated to the city they prefer?
Options:
A) 65
B) 100
C) 115
D) 130
E) 325
Rationale: 300 prefer X (Group 1);
200 prefer Y (Group 2).
City Y needs 375 people: letall 200 who prefer Y (entire Group 2) be relocated there, the rest 175 will be those who prefer X from Group 1;
City X needs 125 people: 300-175=125 from Group 1 will be relocated to X, which they prefer.
So, the highest possible number of employees who will be relocated to the city they prefer is 200+125=325.
Answer: E.
Answer: E
Question: one kilo gram coffee is Rs. 126 and Rs. 135 are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the 3rd variety per kilo gram is?
Options:
A)150
B)133
C)175.5
D)178
E)190
Rationale: Since first and second varieties are mixed in equal proportions.
So, their average price = Rs. 126 + 135 = Rs. 130.50
2
So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find x.
By the rule of alligation, we have:
Cost of 1 kg of 1st kindCost of 1 kg tea of 2nd kind
Rs. 130.50	Mean Price
Rs. 153	Rs. x
(x - 153)	22.50
x - 153	= 1
22.50
x - 153 = 22.50
x = 175.50
C
Answer: C
Question: A train covers a distance of 36 km in 12 min. If it takes 7 sec to pass a telegraph post, then the length of the train is?
Options:
A)330
B)340
C)350
D)360
E)370
Rationale: Speed = (36/12 * 60) km/hr = (180 * 5/18) m/sec = 50 m/sec.
Length of the train = 50 * 7 = 350 m.
Answer: Option C
Answer: C
Question: Ram's age and Shyam's age are in the ratio 3:4. Seven years ago the ratio of their ages was 2:3. Find the ratio of their ages five years hence?
Options:
A)26/36
B)26/31
C)26/19
D)26/33
E)26/38
Rationale: Let ages of Ramu and Shyam be x and y respectively.
x/y = 3/4 => x = 3/4 y
(x- 7)/(y - 7) = 2/3
=> 3x - 21 = 2y - 14 => 3x = 2y + 7
But x = 3/4 y
3 * 3/4 y = 2y + 7
9y = 8y + 28 => y = 28years
=> x = 21 years
Ratio of their ages five years hence, (21 + 5)/(28 + 5) = 26/33.
Answer:D
Answer: D
Question: The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:
Options:
A)1510
B)1315
C)1015
D)1215
E)1715
Rationale: Required number = (L.C.M. of 12,16, 18, 21, 28) + 7
= 1008 + 7
= 1015
Answer: Option C
Answer: C
Question: 15 : 5 seconds :: ? : 10 minutes
Options:
A)10
B)15
C)30
D)25
E)30
Rationale: 15*10=5*x
x=30
ANSWER:C
Answer: C
Question: Certain sum becomes 3 times it self at compound interest in 10 years. In how many years it becomes 9 times?
Options:
A)10 Years
B)20 Years
C)30 Years
D)40 Years
E)45 Years
Rationale: P(1 + R/100)10 = 3P
=> P(1 + R/100)10 = 3
Let P(1 + R/100)n = 9P
=> (1 + R/100)n = 9
=> 32 = [(1 + R/100)10]2
=> (1 + R/100)n => (1 + R/100)20
=> n = 20 Years.
B
Answer: B
Question: Of the 3,600 employees of Company X, 1/6 are clerical. If the clerical staff were to be reduced by 1/3, what percent of the total number of the remaining employees would then be clerical?
Options:
A) 25%
B) 22.2%
C) 20%
D) 12.5%
E) 11.7%
Rationale: Welcome, just post the question and the choices
Let's see, the way I did it was
1/6 are clerical out of 3600 so 600 are clerical
600 reduced by 1/3 is 600*1/3
so it reduced 200 people , so there is 400 clerical people left
but since 200 people left, it also reduced from the total of 3600 so there are 3400 people total
since 400 clerical left / 3400 people total
you get (A) 11.7%
Answer :E
Answer: E