divelab/Sys2Bench huggingface dataset:
Question: Scott's average (arithmetic mean) golf score on his first four rounds was 28.What score does he need on his fifth round to drop his average score by 2 points?
Options:
A)18
B)72
C)78
D)88
E)312
Rationale: Average score for first 4 rounds = 28
Average score after 5 rounds = 26
Score Scott needs on his 5th round to drop average score by 2 points = 28 - (2*5) = 18
Answer A
Answer: A
Question: If 2^4, 2^3, and 11^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Options:
A)176
B)288
C)363
D)396
E)484
Rationale: I will go with A (pending elements to match is 2^2*2^2*11^1 = 176
Answer: A
Question: If in a certain code, If NEPOLEAN is written as OBFMPQFO, how can IMPOSING be written?
Options:
A)HOJTPQNI
B)HOJTPQNK
C)HOJTPQNL
D)HOJTPQNJ
E)HOJTPQND
Rationale: NEPOLEAN - OBFMPQFO
N+1 = O
E+1 = F
P+1 = Q
O+1 = P
L+1 = M
E+1 = F
A+1 = B
N+1 = O
Now write in reverse order... You ll get OBFMPQFO
Similarly for IMPOSING
I+1 = J
M+1 = N
P+1 = Q
O+1 = P
S+1 = T
I+1 = J
N+1 = O
G+1 = H
Now write in reverse order... HOJTPQNJ
ANSWER:D
Answer: D
Question: In a City, 35% of the population is composed of migrants, 20% of whom are from rural areas. Of the local population, 48% is female while this figure for rural and urban migrants is 30% and 40% respectively. If the total population of the city is 728400, what is its female population ?
Options:
A)324138
B)248888
C)378908
D)277880
E)379010
Rationale: Explanation:
Total Population = 728400
Migrants = 35 % of 728400 = 254940
local population = (728400 - 254940) = 473460.
Rural migrants = 20% of 254940 = 50988
Urban migrants = (254940 - 50988) = 203952
Female population = 48% of 473460 + 30% of 50988 + 40% of 203952 = 324138
Answer: A
Answer: A
Question: Rick deposited $800 to his bank account using $5 and $15 dollar bills only. If Rick came to the bank with 70 bills and left with 10 bills only, how many $15 dollar billsმ did he deposit?
Options:
A)5.
B)25.
C)50.
D)55.
E)65.
Rationale: 5x+15y=800 --1
x+y=60 ---2
multiply eq 2 with 5 and subtract from eq 1
5x+15y=800
5x+5y=300
10y= 500
y=50 and x = 10
therefore $15 bills = 50
Answer C
Answer: C
Question: Barbata invests $3000 in the National Bank at 5%. How much additional money must she invest at 8% so that the total annual income will be equal to 6% of her entire investment?
Options:
A)1200
B)3000
C)1000
D)3600
E)1500
Rationale: Let the additional invested amount for 8% interest be x;
Equation will be;
3000+0.05*3000+x+0.08x = 3000+x+0.06(3000+x)
0.05*3000+0.08x = 0.06x+0.06*3000
0.02x = 3000(0.06-0.05)
x = 3000*0.01/0.02 = 1500
Ans: "E"
Answer: E
Question: M is 30% of Q, Q is 20% of P and N is 50% of P. What is M / N
Options:
A)3/28
B)3/27
C)3/21
D)3/22
E)3/25
Rationale: Take P = 100, then N = 50, Q = 20, M = 6. So M/N = 3/25
E
Answer: E
Question: An outgoing batch of students wants to gift a PA system worth Rs 4,200 to their school. If the teachers, offer to pay 50 more than the students and an external benefactor gives three times the teacher's contribution, then how much should the teachers donate?
Options:
A)Rs 600
B)Rs 900
C)Rs 700
D)Rs 1200
E)None of these
Rationale: Explanation :
The ratio of the share students : teacher: benefactor=1:1.5:4.5.
So the proportion to teacher's share = 1.5/7.
Hence, the teachers would donate (1.5/7)×4200=Rs 900.
Answer : B
Answer: B
Question: In a race of length L metres, Johnson beats Lewis by M metres and Greene by N metres, By how many metres does Lewis beat Greene in the same race ? (M<N)
Options:
A)L(L-N) /L-M
B)L(N-M) / L-M
C)L-N
D)M-N
E)M+
Rationale: the ans is quite simple N-M but since the ans is not given, the best way to 'find' the correct option is to plug in the numbers. For my work, i took the following numbers:
L = 200
M = 10
N =20.
So basically, L beat G by 20 meters. Now whatever options comes close to the figure 10 is the right ans..
looking the the opion C to E, one can make out that they are incorrect, A.
Out of which, i choose A.
Answer: A
Question: A local bank that has 12 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 12 codes?
Options:
A)3
B)4
C)12 ( 2 integers 4 codes)
D)6
E)7
Rationale: Pick any two integer.
Integers: 12
Code: 11, 12, 21, 22 = 4 Codes
Add one more integer: 3
13, 31, 33, 23, 32 = 5 Codes
Add one more integer: 4
44, 14, 41, 24, 42, 34, 43 = 7 Codes
Total = 16 Codes. Enough. Answer: C
4 integers create 12 codes.
Answer: C
Question: For any numbers a and b, a#b = ab(2 − b). If a and a#b both represent positive numbers, which of the following could be a value of b?
Options:
A)2
B)1
C)3
D)4
E)5
Rationale: a#b positive then b may be positive or negative. if positive then b< 2 may be 1 and if negative then it is more than or equal to - 1negative . ab will be -ve which is not possible as a and a#b should be positive
ans B
Answer: B
Question: In how many ways a committee of 10 men and 8 women can be made out of total of 15 men and 12 women?
Options:
A)336/987
B)1001/165
C)1245/789
D)3256/789
E)256/85
Rationale: Required number of ways = 15C10 * 12C8 = 15C5 * 12C4 = 3003/495 = 1001/165
Answer is B
Answer: B
Question: Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?
Options:
A)1 litre paint
B)1 litre water
C)½ litre water and one litre paint
D)½ litre paint and one litre water
E)½ litre paint
Rationale: Reqd. ratio = 2 : 1.5 i.e. 4 : 3 between paint and water respectively.
6 litres of paint which is half water(3 litres) and half paint (3 litres)
Right now the ratio is 1:1
Looking at the options,
A. Paint : Water = 4 : 3 which is the reqd. ratio . Correct Answer
B. Paint : Water = 3 : 4
C. Paint : Water = 4 : 3.5
D. Paint : Water = 3.5 : 4
E. Paint : Water = 3.5 : 3
Answer : A
Answer: A
Question: Today Joelle opened an interest-bearing savings account and deposited $6,000. If the annual interest rate is 4 percent compounded interest, and she neither deposits nor withdraws money for exactly 2 years, how much money will she have in the account?
Options:
A)$6,048.00
B)$6,240.00
C)$6,450.00
D)$6,480.00
E)$6,489.60
Rationale: To calculate the interest earned on the account over two years, we use the following formula:
Interest = Deposit × Interest Rate × Number of Years
Interest = $6,000 × 0.04 = $240.
So, the amount of money in the account after 2 years is:
Total Amount = Initial Deposit + Interest Earned
Total Amount = $6,240(1.04) = 6,489.60.
The correct answer is choice (E).
Answer: E
Question: Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in?
Options:
A)08 hours
B)12 hours
C)03 hours
D)04 hours
E)21 hours
Rationale: The part of the tank filled by three pipes in one hour = 1/8
=> The part of the tank filled by two pipes in 1 hour = 2/3 * 1/8 = 1/12.
The tank can be filled in 12 hours.
Answer:B
Answer: B
Question: Train P crosses a pole in 30 seconds and train Q crosses the same pole in one minute and 15 seconds. The length of train P is three-fourths the length of train Q. What is the ratio of the speed of train P to that of train Q?
Options:
A)5:8
B)5:6
C)5:1
D)5:3
E)5:2
Rationale: Given that train P crosses a pole in 30 seconds and train Q crosses the same pole in one minute and 15 seconds.
Let the length of train P be LP and that of train Q be LQ
given that LP = 3/4 LQ
As the train P and Q crosses the pole in 30 seconds and 75 seconds respectively,
=> Speed of train P = VP = LP/30
Speed of train Q = VQ = LQ/75
LP = 3/4 LQ
=> VP = 3/4 LQ/(30) = LQ/40
Ratio of their speeds = VP : VQ
= LQ/40 : LQ/75 => 1/40 : 1/75 = 1
5:8
Answer:A
Answer: A
Question: If N = 23×34 , M = 22×3×5, then find the number of factors of N that are common with the factors of M.
Options:
A)3
B)9
C)8
D)6
E)2
Rationale: Answer: c
Explanation:
N = 23×34
M = 22×3×5
By taking common powers we get 22×3
So common factors = (2 + 1)(1 + 1) = 6.
(formula for number of factors of a number)
Answer:D
Answer: D
Question: The average age of 36 students in a group is 13 years. When teacher's age is included to it, the average increases by one. What is the teacher's age in years ?
Options:
A)35 years
B)45 years
C)51 years
D)54 years
E)50 years
Rationale: Explanation:
Age of the teacher = (37 * 14 - 36 * 13) years = 50 years. Answer: E
Answer: E
Question: The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A?
Options:
A)12
B)31
C)16
D)18
E)10
Rationale: (A + B) - (B + C) = 12
A - C = 12
Answer: A
Answer: A
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 46 kg, then the weight of B is:
Options:
A)31 kg
B)32 kg
C)37 kg
D)34 kg
E)None of these
Rationale: Explanation:
Let A, B, C represent their respective weights. Then, we have:
A + B + C = (45 x 3) = 135 …. (i)
A + B = (40 x 2) = 80 …. (ii)
B + C = (46 x 2) = 92 ….(iii)
Adding (ii) and (iii), we get: A + 2B + C = 172 …. (iv)
Subtracting (i) from (iv), we get : B = 37.
B’s weight = 37 kg.
Answer: C
Answer: C
Question: Let a be a positive integer. If r is divisible by 2^a and r is also divisible by 3^(2a), then it is possible that r is NOT divisible by
Options:
A)6
B)3 × 2^a
C)2 × 3^(2a)
D)6^a
E)6^(2a)
Rationale: Since, r is divisible by 2^a and 3^(2a), it must be divisible by 6. As least value of a = 1
Only for E, 6^(2a) doesn't satisfy, if a = 1 and r=18, it is not divisible by 6^2 (i.e 36)
Hence answer is E
Answer: E
Question: The speed at which a man can row a boat in still water is 6 km/hr. If he rows downstream, where the speed of current is 3 km/hr, how many seconds will he take to cover 110 meters?
Options:
A)40
B)44
C)48
D)52
E)56
Rationale: The speed of the boat downstream = 6 + 3 = 9 km/hr
9 km/hr * 5/18 = 2.5 m/s
The time taken to cover 110 meters = 110/2.5 = 44 seconds.
The answer is B.
Answer: B
Question: A focus group is currently made up of x red balls and y green balls. If 5 red balls and 4 green balls are added to the group, and if one ball is selected at random from the larger focus group, then what is the probability that a green ball is selected?
Options:
A)y/x+5
B)y/x+4
C)(y+5)/(x+y+9)
D)(y+4)/(x+y+9)
E)(x+4)/(x+y+9)
Rationale: x red balls
y green balls
x+4+y+5 is the total
=x+y+9
y+4 is the number of green balls
so (y + 4)/(x + y + 9)
the answer is D
Answer: D
Question: 10^9 - 10^2 is approximation of which of the following?
Options:
A)9^7
B)9^8
C)9^9
D)9^11
E)10^9
Rationale: => Since 9^2 is a small number compared to 10^9, it can be disregarded. Thus, 10^9-10^2=10^9 is derived and the answer is E.
Answer: E
Question: If x, y, and f are positive numbers such that 10*x/(x+y)+ 20*y/(x+y)=f and if x is less than y, which of the following could be the value of f?
Options:
A)10
B)12
C)15
D)18
E)30
Rationale: Answer choice C: f= 15
(10x + 20y)/(x+y) = 15
10x + 20y = 15x + 15y
5y = 5x
y = x
Doesn't work because the problem states that x<y.
We need y to be larger, so let's try answer choice D: f=18
10x + 20y = 18x + 18y
2y = 8x
y/x = 8/2
Success! x<y.
The correct answer is D.
Answer: D
Question: Find the average of first 8 multiples of 5?
Options:
A)10
B)15
C)12.5
D)22.5
E)21
Rationale: average = (5+10+15+20+25+30+35+40)/8 = 22.5
Answer is D
Answer: D
Question: MANO,INC recently conducted a survey and found that 100,000 of its customers live in rural areas. if the number of it customers who live in urban areas is 200 percents grater than the numbers of customers who live in rural areas, how many of MANO,INC customers live in urban areas ?
Options:
A)200,000
B)216,000
C)360,000
D)300,000
E)540.0
Rationale: Let's say that we have a starting value of X...
100% of X = X
100% MORE than X = X + X = 2X
200% MORE than X = X + 2X = 3X
300% MORE than X = X + 3X = 4X
Etc.
Here, we're told that 100,000 customers live in rural areas and the number who live in urban areas is 200% GREATER than the number who live in rural areas. That means that the number who are in urban areas is 3 times the number in rural areas...
3(100,000) = 300,000
Final Answer:D
Answer: D
Question: Which of the following inequalities is equivalent to −5 < x < 1?
Options:
A)|x - 1| < 7
B)|x + 2| < 3
C)|x + 3| < 5
D)|x - 2| < 6
E)None of the above
Rationale: We know that |x| < a means -a < x < a, where Sum of lower limit of x (i.e -a) and the upper limit of x (i.e a), is 0
Given is, -5 < x < 1, let's say by adding y to this inequality we will get into the above format
-5+y < x+y < 1+y
Now, to move this into the mod format, we need to have (-5+y) + (1+y) = 0 => y = 2
Thus, -3< x+2 < 3 => |x+2| < 3.
Hence, answer is B
Answer: B
Question: How many different arrangements of letters are possible if three letters are chosen from the letters A through H and the letters E and A must be among the letters selected?
Options:
A)30
B)33
C)36
D)39
E)42
Rationale: Besides A and E, there are 6 letters and we can choose one of them.
6C1 = 6
Three letters can be arranged in 3! ways.
The number of arrangements is 6*3! = 36
The answer is C.
Answer: C
Question: Sachin is younger than Rahul by 4 years. If the ratio of their ages is 7:9, find the age of Sachin
Options:
A)24.58
B)24.5
C)24.3
D)24.9
E)14
Rationale: If Rahul age is x, then Sachin age is x-4,
so (x-4)/x = 7/9
=> 9x-36 = 7x
=> 2x = 36
=> x = 18
So Sachin age is 18 - 4 = 14
Answer: E
Answer: E
Question: In a barrel of juice there is 50 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?
Options:
A)3:2.
B)6:5.
C)3:1.
D)4:3.
E)3:4
Rationale: Price of 50 L juice= 3x
1L= 3x/50
Price of 80 L beer= 4x
1L= 4x/80
Ratio of 1 L price = 3x/50/4x/80= 6:5
B is the answer
Answer: B
Question: On a certain day, Peter's farm harvested 1253 oranges. If Peter distributes his oranges evenly across 9 different retail shops, how many oranges would remain with him.
Options:
A)1 orange
B)3 oranges
C)5 oranges
D)7 oranges
E)9 oranges
Rationale: This is equivalent to finding the first number that is divisible by 9 that occurs before 1253.
In order to divide the sum in 9 parts, the amount must be divisible by 9
Divisibility rule of 9: The sum of the digits must be divisible by 9
Sum of digits of 1253 = 11 and 9 is divisible by 9.
Hence, we need to add 7 to this number for it to be divisible by 9
Correct Option: D
Answer: D
Question: If the radius of a circle is decreased 50%, what happens to the area?
Options:
A)10% decrease
B)20% decrease
C)75% decrease
D)40% decrease
E)50% decrease
Rationale: Area of Square = Pi* radius^2
New Radius = 0.5 * old radius
so new area = (0.5)^2 old area => 0.25 of old area => 25% old area
Ans : C
Answer: C
Question: In 10 years, P will be as old as Q is now. Ten years ago, Q was twice as old as P was then. How old is P now?
Options:
A)15
B)20
C)25
D)30
E)35
Rationale: Q = P+10
Q-10 = 2(P-10)
P = 2P-20
P = 20
The answer is B.
Answer: B
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Options:
A)80/7 sec
B)20/8 sec
C)20/7 sec
D)20/3 sec
E)20/3 sec
Rationale: They are moving in opposite directions, relative speed is equal to the sum of their speeds.
Relative speed = (54 + 72)*5/18
= 7*5 = 35 mps.
The time required = d/s
= 100/35
= 20/7 sec.
Answer: C
Answer: C
Question: What is the remainder when 25472 is divided by 2?
Options:
A)3
B)1
C)8
D)7
E)0
Rationale: If the digit in unit place is even, the number will be divisible by 2.
2 is an even number,so the number is divisible by 2
ANSWER:0
Answer: E
Question: Printer P can print one lakh books in 8 hours. Printer Q can print the same number of books in 10 hours while Printer R can print the same in 12 hours. All the Printers started printing at 9 A.M. Printer P is stopped at 11 A.M. and the remaining 2printers complete work. Approximately at what time will the printing of 1 lac books be completed?
Options:
A)12 am
B)1 pm
C)2 pm
D)3 pm
E)4 pm
Rationale: Work done by P in 1 hour = 1/8
Work done by Q in 1 hour = 1/10
Work done by R in 1 hour = 1/12
Work done by P,Q and R in 1 hour = 1/8 + 1/10 + 1/12 = 37/120
Work done by Q and R in 1 hour = 1/10 + 1/12 = 22/120 = 11/60
From 9 am to 11 am, all the Printer were operating.
Ie, they all operated for 2 hours and work completed = 2 × (37/120) = 37/60
Pending work = 1- 37/60 = 23/60
Hours taken by Q an R to complete the pending work = (23/60) / (11/60) = 23/11
which is approximately equal to 2
Hence the work will be completed approximately 2 hours after 11 am ; ie around 1 pm
B
Answer: B
Question: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Options:
A)63
B)72
C)14
D)62
E)72
Rationale: Required number of ways = (7C5 x 3C2) = (7C2 x 3C1) = = 63.
ANSWER A 63
Answer: A
Question: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Options:
A)1323
B)9261
C)2788
D)2999
E)1722
Rationale: A = 8000(21/20)3 = 9261
Answer:B
Answer: B
Question: If the function f(x) is defined for all real numbers x as the maximum value of 2x + 6 and 12 + 3x, then for which one of the following values of x will f(x) actually equal 2x + 4 ?
Options:
A)–4
B)–5
C)–6
D)–7
E)–9
Rationale: Since f(x) defines maximum of 2x + 6 and 12 + 3x,
to find those x when 2x+6 has greater value,
2x + 6 > 12 + 3x
or x < -6
Only value that satisfy this is -7.
Answer is (D),
Answer: D
Question: The sum of two numbers is 18 and their difference is 12. Find their product.
Options:
A)104
B)108
C)45
D)325
E)None
Rationale: Sol.
Let the numbers be x and y.
Then, x + y = 18 and
x - y = 12
2x = 30 +> x = 15. So y = 3
xy = 15*3 = 45
Answer : C
Answer: C
Question: Anup start a bike at 6am. and rides it at 60kmph. Raghu started at 7pm with his car at 75kmph. When will Raghu overtake Anup?
Options:
A)8:30am
B)9:40am
C)10:00am
D)12:00pm
E)11:00am
Rationale: Suppose bike is overtaken by car xhrs after 6am
Distance covered by the bike in x hrs = distance covered by the car in x-1 hr
60x = 75(x-1)
15x = 75
x = 5 hrs
Required time = 6+5 = 11:00am
Answer is E
Answer: E
Question: a,b and c are positive integers less than or equal to 9. If a,b and c are assembled into the six-digit number aabbcc, which of the following must be a factor of aabbcc?
Options:
A)9
B)3
C)7
D)11
E)None of these
Rationale: The sum of the digits in place 1,3 and 5 is a+b+c is equal to the sum of the digits in place 2,4 and 6 which is a+b+c. thus the number abcabc is divisible by 11. thus 11 must be a factor of abcabc.
Answer: D
Answer: D
Question: A paint store mixes 3/4 pint of red paint and 2/3 pint of white paint to make a new paint color called Perfect Pink. How many pints of red paint would be needed to make 35 pints of Perfect Pink paint?
Options:
A)9
B)16
C)19
D)25 1/3
E)28 1/2
Rationale: 3/4 pint is required to make 3/4 + 2/3 = 17/12 pint of perfect pink
so 17/12 pint requires 3/4 pint of red..
1 pint will require 3/4 * 12/17=9/17..
35 pints will require 9/17 * 35= 19 pints..
C
Answer: C
Question: One out of every 600 light bulbs are defected. If 2 out of every 10 defected light bulbs have a broken glass and there are 20 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment?
Options:
A)60,000
B)5,000
C)10,000
D)50,000
E)52,000
Rationale: 20 broken glasses indicates that 10*10= 100 defected bulbs are present.
100 defected bulbs indicates that 100*600= 60,000 light bulbs are present.
A is the answer
Answer: A
Question: A train 450 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)60 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 =(450×2/15) sec=60 sec
ANSWER :E
Answer: E
Question: If x is an even integer and y = 6x + 4, which of the following CANNOT be a divisor of y?
Options:
A)17
B)20
C)29
D)41
E)53
Rationale: x takes even values as 2,4,6,8.,
y=6x+5
x is an even term so 6x must be an even term when it adds with 4 so it must be a even integer
20 didn't follows this condition ans is B
Answer: B
Question: John spends $320 buying his favorite dolls. If he buys only small Monkey dolls, which are $4 cheaper than the large Monkey dolls, he could buy 40 more dolls than if he were to buy only large Monkey dolls. How much does a large Monkey doll cost?
Options:
A)$7.2
B)$7.5
C)$8
D)$9
E)$10
Rationale: A and B is not an integer. So we start with C
If large doll costs $8, then he can buy 320/8 = 40 large dolls and 320/4 =80 small dolls.
Difference is 40, which is we wanted.
Answer C.
Answer: C
Question: At a monthly meeting, 3/5 of the attendees were males and 7/8 of the male attendees arrived on time. If 9/10 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time?
Options:
A)23/200
B)11/100
C)7/50
D)3/20
E)4/25
Rationale: Males who did not arrive on time are 1/8*3/5 = 3/40 of the attendees.
Females who did not arrive on time are 1/10*2/5 = 2/50 of the attendees.
The fraction of all attendees who did not arrive on time is 3/40 + 2/50 = 23/200
The answer is A.
Answer: A
Question: If a,b, and c are consecutive positive integers and a>b>c, what can be the value of (a^2-b^2)(b^2-c^2)?
Options:
A)35
B)45
C)55
D)65
E)75
Rationale: (a^2-b^2)(b^2-c^2) = (a+b)*(a-b)*(b+c)*(b-c) = (a+b)*(-1)*(b+c)*(-1) = (a+b)*(b+c)
Therefore, the product should have factors with a difference of 2.
35 = 5*7, so this is a possible value for the original expression.
The answer is A.
Answer: A
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by C are?
Options:
A)11
B)18
C)45
D)17
E)12
Rationale: A:B = 2:3
B:C = 2:5
A:B:C = 4:6:15
15/25 * 75 = 45
Answer:C
Answer: C
Question: A fruit seller had some oranges. He sells 40% oranges and still has 360 oranges. How many oranges he had originally?
Options:
A)700
B)710
C)600
D)730
E)740
Rationale: 60% of oranges = 360
100% of oranges =(360×100)/6=600
total oranges = 700
ANSWER : C
Answer: C
Question: The width of a rectangle is 10mtr and its area is 150 square meter. If length of the rectangle is increased, then its new area is 1(1/3) times of the original area. What is the new perimeter of the rectangle?
Options:
A)45
B)54
C)67
D)60
E)69
Rationale: Ans.(D)
Sol. Length of original rectangle = 150/10 = 15
(10*(15+x))/(10*15) = 4/3
x = 5
Perimeter of new rectangle = 2(10+20) = 60
Answer: D
Question: circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Options:
A)44
B)55
C)66
D)78
E)49
Rationale: π (152 - 132) = 176
176 * 1/4 = Rs.44.Answer: A
Answer: A
Question: Jagan went to another town covering 240 km by car moving at 60 kmph. Then he covered 400km by train moving at 100 kmph and then rest 200 km he covered by a bus moving at 50 kmph. The average speed during the whole journey was ?
Options:
A)80 kmph
B)60 kmph
C)10 kmph
D)70 kmph
E)90 kmph
Rationale: Explanation:
By car 240 km at 60 kmph
Time taken = 240/60 = 4 hr.
By train 240 km at 60 kmph
Time taken = 400/100 = 4 hr.
By bus 240 km at 60 kmph
Time taken = 200/50 = 4 hr.
So total time = 4 + 4 + 4 = 12 hr.
and total speed = 240+400+200 = 840 km
Average speed of the whole journey = 840/12 = 70 kmph.
Answer: D
Answer: D
Question: If a and b are integers and (a*b)^5 = 144y, y could be:
Options:
A)40
B)48
C)56
D)62
E)54
Rationale: Distribute the exponent.
a^5 * b^5 = 144 y
Find the prime factorization of 144. This is 2^4 *3^2.
We need 2^1 and 3^3 i.e 2*27 =54
The answer is E.
Answer: E