mathewhe/aqua_rat huggingface dataset:
Question: (0.5)(power 3) - (0.1)(power 3)/ (0.5)(power 2) + 0.05 + (0.1)(power 2) is:
(A) 0.8
(B) 0.4
(C) 0.96
(D) 0.69
(E) 0.76
Rationale: Given expression
= (0.5) (power 3) - (0.1)(power 3) / (0.5)(power 2) + (0.5 x 0.1) + (0.1)(power 2)
= a (power 3) - b(power 3) / a(power 2) + ab + b(power 2)
= (a - b)
= (0.5 - 0.1)
= 0.4
Answer is B
Answer: (B) 0.4
Question: At a certain ice cream parlor, customers can choose among five different ice cream flavors and can choose either a sugar cone or a waffle cone. Considering both ice cream flavor and cone type, how many distinct triple-scoop cones with three different ice cream flavors are available?
(A) 12
(B) 16
(C) 20
(D) 24
(E) 30
Rationale: Customer can choose 3 out of 5 flavors 5C3=10;
Customer can choose 1 out of 2 cone type 2C1=2;
Total # of combinations possible 10*2=20.
ANS:C
Answer: (C) 20
Question: Set K contains every multiple of 6 from 18 to 306 inclusive. If w is the median of set K, and x is the average (arithmetic mean) of set K, what is the value of w-x?
(A) -6
(B) -3
(C) 0
(D) 3
(E) 6
Rationale: Set K ={18,24,30,....306}
Let the no. of terms be n.
so we know the AP formulae to calculate the the tn term:
tn= a+(n-1)*d where d = common difference of the terms.
306= 18 +(n-1)*6
n=49.
So the set K consist of n terms.
The median of the set having odd nos of elements is (n+1)/2., which in this case is 25.
Let's find the 25th term using the same formulae again:
t25= 18+(25-1)*6
t25= 162
So , the median of the set K is 162 i.e. w=162.
Now. lets find the average (arithmetic mean) of the set. For that we need to find the sum of all the elements first, lets call it S.
Since, set k is nothing but a Arithmetic Progression series having first element(a) as 18, common difference (d) as 6 and no. of terms(n) as 49.
Using the formulae to calculate sum of an AP series, which is
S= n/2[2a + (n-1)*d], we will calculate the sum.
so, S= 49/2 [2*18 + (49-1)*6]
This gives us S= 7938.
Now Arithmetic mean of Set K = 7938/no. of terms= 7938/49= 162.
So x= 162.
Now, (w-x) = (162-162)= 0.
Therefore Correct Answer = C
Answer: (C) 0
Question: In a 300 member association consisting of men and women, exactly 20% of men and exactly 25 % women are homeowners. What is the least number of members who are homeowners?
(A) 79
(B) 77
(C) 85
(D) 83
(E) 61
Rationale: Solution simple
Out of 300 20% are male i.e 60 and 25% are female i.e 75 , so total homeowner is 135.
Now min number homeowner is 60 and max is 135 so question ask us to find least and 61 has least value among all option.
So ans is 61.
Answer : E
Answer: (E) 61
Question: If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in?
(A) days
(B) days
(C) days
(D) days
(E) days
Rationale: That is, 1 person can do one time of the work in 3 days.
Therefore, 7 persons can do 7 times work in the same 3 days itself.
B)
Answer: (B) days
Question: The labeled price of a table is Rs. 7,500. The shopkeeper sold it by giving 5% discount on the labeled price and earned a profit of 15%. What approximately is the cost price of the table?
(A) Rs. 6195
(B) Rs. 6199
(C) Rs. 6192
(D) Rs. 6191
(E) Rs. 6194
Rationale: Explanation:
Labeled price = Rs. 7,500
By giving 5% discount on labeled price, the selling price is
= 95 / 100 * 7500 = Rs. 7125
By earning 15% profit on the selling of price Rs. 7125 the cost price is
= 100 / 115 * 7125 = Rs. 6195.65
Therefore, approximate cost is 6195.65
ANSWER: A
Answer: (A) Rs. 6195
Question: From the set of numbers {t, u, v, w, x, y, z}, how many different combinations can we have without the t in them? Ex:. (x,y), (x), (w,z,y,x), etc... and note that (x,y)=(y,x)
(A) 16
(B) 31
(C) 32
(D) 63
(E) 64
Rationale: Any letter (u, v, w, x, y, z) can be included or not.
Thus there are 2^6 combinations - 1 empty combination = 63 combinations
The answer is D.
Answer: (D) 63
Question: Find out the C.I on Rs.3000 at 4% p.a. compound half-yearly for 1 1/2 years.
(A) A)Rs.181.62
(B) B)Rs.182.62
(C) C)Rs.183.62
(D) D)Rs.184.62
(E) E)Rs.185.62
Rationale: A = 3000(51/50)3
= 3183.62
3000
-----------
183.62
ANSWER:C
Answer: (C) C)Rs.183.62
Question: If a man can cover 20 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
(A) 288
(B) 162
(C) 220
(D) 270
(E) 122
Rationale: 20 m/s = 20 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 20 * 18/5 * 15/4 km = 270 km.
Answer: D
Answer: (D) 270
Question: The area of a square field is 7201 sq m. How long will a lady take to cross the field diagonally at the rate of 2.4 km/hr?
(A) 1 min 15 sec
(B) 1.5 min
(C) 1 min
(D) 2.5 min
(E) 2 min
Rationale: Area of a square field = 7201 sq m
Let the side of square = a
a^2 = 7201
=> a = 84.86
Diagonal = (2)^(1/2) * a
= 1.414 * 84.86
=120
Speed of lady = 2.4 km / hour
= 2400 m / hour
= 60 m / min
Time taken by lady to cross the field diagonally = 120/60 = 2 min
Answer E
Answer: (E) 2 min
Question: What is the rate percent when the simple interest on Rs.5000 amount to Rs.2500 in 5 Years?
(A) 9%
(B) 8%
(C) 10%
(D) 10.5%
(E) 7.5%
Rationale: Interest for 1 year = 2500/5 = 500
Interest on Rs 5000 p/a = 500
interest rate = 500/5000*100 = 10%
Answer : C
Answer: (C) 10%
Question: The speed of light is approximately 1,86 * 10^6 miles per second. This approximate speed is how many miles per hour?
(A)  1,11 * 10^7
(B)  6,70 * 10^7
(C)  1,11 * 10^8
(D)  6,,70 * 10^9
(E)  6,70 * 10^8
Rationale: The easiest way to answer this question is by POE, it does not require any calculation (answered in 30seconds). In one hour there are 3600 seconds, therefore speed in miles/hour will be.
(1.86*10^6)*3600 = (1.86*10^6)*(3.6*10^3) = some number*10^9..
The key is realizing that thesome numberhas to be bigger thatn 1.86 (because 1.86*3.6), and the only answer that fits that is D
Answer: (D)  6,,70 * 10^9
Question: If y > 0, (8y)/20 + (3y)/10 is what percent of y?
(A) 40%
(B) 50%
(C) 60%
(D) 70%
(E) 80%
Rationale: can be reduced to 4y/10+3y/10 =7y/10=70%
Answer D
Answer: (D) 70%
Question: If p, q and r are positive integers and satisfy x = (p + q -r)/r = (p - q + r)/q = (q + r - p)/p, then the value of x is?
(A) -1
(B) 1
(C) 2
(D) -2
(E) -3
Rationale: When two or more ratios are equal, each of the ratios are equal to sum of the numerators divided by the sum of the denominators, provided sum of the denominators is non-zero.
Hence, x = (p + q -r)/r = (p - q + r)/q = (q + r - p)/p
=> x = (p + q - r + p - q + r + q + r - p) / (r + q + p)
=> x = (r + q + p) / (r + q + p) = 1
p + q + r is non-zero.
Answer: B
Answer: (B) 1
Question: A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
(A) 999
(B) 279
(C) 120metre
(D) 99
(E) 21
Rationale: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.
Length of the train = 20 * 6
= 120 m.
Answer: C
Answer: (C) 120metre
Question: Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a.?
(A) 277
(B) 209
(C) 121
(D) 200
(E) 128
Rationale: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.
r = 15000(1 - 4/100) = 15000 - 600
m = 8000(1 + 10/100) = 8000 + 800
Total SP - Total CP = r + m - (15000 + 8000) = -600 + 800 = Rs. 200
As this is positive, an overall profit of Rs. 200 was made.
Answer: D
Answer: (D) 200
Question: A diagonal is a line segment that connects non-adjacent vertices in a polygon. How many diagonals does an octagon have?
(A) 20
(B) 40
(C) 60
(D) 90
(E) 80
Rationale: Select one vertex and you can draw 5 diagonals.
If you draw 5 such diagonals for each of the 8 vertices, you will draw a total of 5 × 8 = 40 diagonals. But you actually draw each diagonal twice, once from each of its ends. Therefore, there are a total of 40 ÷ 2 = 20 different diagonals
correct answer A
Answer: (A) 20
Question: The slant height of a cone is 18 cm and radius of the base is 8cm, find the curved surface of the cone?
(A) 26
(B) 452
(C) 450
(D) 440
(E) 28
Rationale: π * 18 * 8
= 452
Answer:B
Answer: (B) 452
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
(A) 1000
(B) 2287
(C) 2677
(D) 2887
(E) 2688
Rationale: 90%
104%
--------
14% ---- 140
100% ---- ? => Rs.1000
Answer: A
Answer: (A) 1000
Question: What least value must be assigned to * so that the number 197*5462 is divisible by 9
(A) 0
(B) 2
(C) 4
(D) 9
(E) 8
Rationale: Let the missing digit be x.
Sum of digits = (1 + 9 + 7 + x + 5 + 4 + 6 +»2) = (34 + x).
For (34 + x) to be divisible by 9, x must be replaced by 2 .
Hence, the digit in place of * must be 2.
ANSWER B 2
Answer: (B) 2
Question: A bowl was filled with 120 ounces of milk, and 0.01 ounce of the milk evaporated each day during a 60-day period. What percent of the original amount of milk evaporated during this period?
(A) A)0.005%
(B) B)0.05%
(C) C)5%
(D) D)0.50%
(E) E)4.2%
Rationale: Total amount of milk evaporated each day during a 60-day period = .01 * 60
= 0.6
percent of the original amount of milk evaporated during this period = (.6/120) * 100%
= 0.5 %
Answer D
Answer: (D) D)0.50%
Question: In how many ways Chief Minister and Minister be elected from a team of 12 members?
(A) 125
(B) 131
(C) 132
(D) 145
(E) 147
Rationale: To do this, if captain is elected first, then we have 12 ways of doing this.
For election of vice-captain, we have only 11 ways left, coz 1 way is already consumed. (Situations like this is called dependent situation. One selection depends upon other selection.)
So, the ans is 12*11 = 132 ways.
C
Answer: (C) 132
Question: Positive Integer A gives the remainder of 18 when divided by another positive Integer B. If A/B = 147.24, what is the value of B?
(A) 96
(B) 75
(C) 48
(D) 25
(E) 12
Rationale: .24 of B = Remainder
.24 of B = 18
B = (18*100) / 24 = 75.
B
Answer: (B) 75
Question: The average (arithmetic mean) of a normal distribution of a school's test scores is 65, and standard deviation of the distribution is 6.5. A student scoring a 77 on the exam is in what percentile of the school?
Choices
(A) 63rd percentile
(B) 68th percentile
(C) 84th percentile
(D) 96th percentile
(E) 98th percentile
Rationale: (78-65)/6.5 = 2 sigmas or 95.5th percentile for +-2 sigma but in our case we need only upper tail, so it's 100 - (100 - 95.5)/2 = 96th percentile
D
Answer: (D) 96th percentile
Question: A cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?
(A) 22
(B) 27
(C) 29
(D) 90
(E) 12
Rationale: 1/9 - 1/x = 1/10
=> 90 hrs
Answer: D
Answer: (D) 90
Question: The two lines y=x and x=-8 intersect on the coordinate plane. What is the value of the area of the figure formed by the intersecting lines and the x-axis?
(A) 28
(B) 32
(C) 36
(D) 40
(E) 44
Rationale: The point of intersection is (-8,-8).
The triangle has a base of length 8 and a height of 8.
area = (1/2)*base*height = (1/2)*8*8 = 32
The answer is B.
Answer: (B) 32
Question: One woman and one man can build a wall together in three hours, but the woman would need the help of two girls in order to complete the same job in the same amount of time. If one man and one girl worked together, it would take them five hours to build the wall. Assuming that rates for men, women and girls remain constant, how many hours would it take one woman, one man, and one girl, working together, to build the wall?
(A) 5/2
(B) 1
(C) 10/7
(D) 12/7
(E) 22/7
Rationale: Solution:Let work done by man, women and girl per hour be m,w,g respectively.
Then, m+w = 1/3-->(1) , w + 2g = 1/3-->(2) and m + g =1/5-->(3).
No. of hours it would take forone woman, one man, and one girl, working together, to build the wall,n = 1/m+w+g
From (1) and (2), m=2g and from (3) g=1/15,m=2/15 and w=1/5.
So, n = 1/(2/5) = 5/2
Option, A
Answer: (A) 5/2
Question: In how many ways can the letters of the word WAYS be arranged in a row so that the vowels appear in alphabetic order?
(A) 160
(B) 220
(C) 150
(D) 120
(E) 180
Rationale: three letters can be arranged in 1! ways.
only one combination AEI is required.
4 letters can be arranged in 4! ways.
D
Answer: (D) 120
Question: 5358 x 61 = ?
(A) 326838
(B) 323758
(C) 323298
(D) 273258
(E) 327382
Rationale: A
5358 x 61 = 5358 x (60 + 1)
= 5358 x 60 + 5358 x 1
= 321480 + 5358
= 326838.
Answer: (A) 326838
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
(A) 6.25
(B) 5.5
(C) 7.4
(D) 5
(E) 5.2
Rationale: Runs scored in the first 10 overs = 10 × 3.2 = 32
Total runs = 282
Remaining runs to be scored = 282 - 32 = 250
Remaining overs = 40
Run rate needed = 250/40=6.25
ANSWER:A
Answer: (A) 6.25
Question: If Sn is the sum of the first n terms of a certain sequence and if Sn = n(n+3) for all positive integers n, what is the third term of the sequence?
(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 = 8
(This is what we wanted)
The third term is 8.
D
Answer: (D) 8
Question: On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 130 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?
(A) 260
(B) 620
(C) 500
(D) 520
(E) 720
Rationale: Let the number of children in the school be x. Since each child gets 2 bananas, total number of bananas = 2x.
2x/(x - 130) = 2 + 2(extra)
=> 2x - 260 = x => x = 260.
ANSWER:A
Answer: (A) 260
Question: A school has received 60% of the amount it needs for a new building by receiving a donation of $300 each from people already solicited. People already solicited represent 40% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to complete the fund raising exercise?
(A) $200
(B) $177.78
(C) $100
(D) $277.78
(E) $377.78
Rationale: Let the amount school needs = X
Let total people school plans to solicit = T
School has received 60 % of X => (3/5) X
People already solicited = 40% of T => (2/5) T
Now, as per the information given in the question :
(3/5)X = $400 . (2/5) . T --------------------------- 1
Remaning Amount is 40 % i.e ( 2/5 ) X ------because school has already received 60%
And the remaining people are 60 % i.e (3/5) .T -----because 40% of the people are already solicited
So, average contribution required from the remaining targeted people is
(2/5) X = (Amount required) . (3/5) . T ----------------------------------- 2
Divide eqn 1 by eqn 2
Amount required = $177.78
B
Answer: (B) $177.78
Question: The star running back on our football team got most of his total yardage
running. The rest was catching passes. He caught passes for 60 yards.
His total yardage was 150 yards. The running back for the other team
got 200 yards. How many yards did the star running back on our football
team get running?
(A) 50 yards
(B) 60 yards
(C) 70 yards
(D) 80 yards
(E) 90 yards
Rationale: .The other team is extra information. 150 – 60 = 90
He got 90 yards running.
correct answer E
Answer: (E) 90 yards
Question: 25 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.
(A) 24
(B) 25
(C) 44
(D) 48
(E) 50
Rationale: n for cyclic hand shake and n-1 for linear handshake.
so here no of hand shake is 25.
ANSWER:B
Answer: (B) 25
Question: A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 26 km/hr. Find the total journey in km.
(A) 220 km
(B) 224 km
(C) 230 km
(D) 200 km
(E) 234 km
Rationale: 0.5x/10 + 0.5x/10 = 20
--> x/10 + x/10 = 40
--> 2x = 10x40
--> x = (10x40)/2 =200 km.
Answer : D.
Answer: (D) 200 km
Question: A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If18 were to be added to each score, which of these three statistics would change?
(A) The mean only
(B) The median only
(C) The mean and the median
(D) The standard deviation only
(E) The mean and the standard deviation
Rationale: The correct answer is C.
Answer: (C) The mean and the median
Question: In how many ways can you line up 7 people in a row if one of them, Stephen, cannot be in the middle or at the either end?
(A) 2,880
(B) 92
(C) 1,100
(D) 2,990
(E) 3,200
Rationale: Since Stephen cannot be placed in the middle or at either end (3 spots), then he can choose 4 spots to sit. The remaining 6 apples can be placed in in 6! ways. Thus the # of arrangements is 4*6! = 2,880.
Answer: A.
Answer: (A) 2,880
Question: Arun borrowed a sum for 4 years on S.I. at 12%. The total interest paid was Rs. 360. Find the Principal.
(A) Rs.700
(B) Rs.650
(C) Rs.800
(D) Rs.750
(E) Rs.850
Rationale: Explanation :
P=100×SI/RT
=100×360/12×4
=100×30/4
=25×30
=750
Answer : Option D
Answer: (D) Rs.750
Question: 14 men and 3 boys finish a job in 7 days, 14 men and 14 boys finish it in 6 days. 13 men and 13 boys shall finish it in how many days?
(A) 18
(B) 07
(C) 12
(D) 19
(E) 12
Rationale: 14 M + 3 B ----- 7 days
14 M + 14 B ------- 6 days
13 M + 13 B -------?
196 M + 42 B = 182 M +182 B
14 M = 140 B => 1 M = 10 B
140 B + 3 B = 143 B ---- 7 days
130 B + 13 B = 143 B -----? => 7 days
Answer: B
Answer: (B) 07
Question: Jim wishes to buy 3 gifts that cost 23 dollars, 9 dollars, and 12 dollars. He has 1/4 of the money
he needs. How much more money must he earn in order to buy the gifts?
(A) $57
(B) $47
(C) $33
(D) $17
(E) $27
Rationale: $23 + $9 + $12 = $44 needed
1/4 x $44 = $11 on hand
$44 - $11 = $33 to earn
correct answer C
Answer: (C) $33
Question: A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
(A) 77 hrs
(B) 81 hrs
(C) 35 hrs
(D) 17 hrs
(E) 19 hrs
Rationale: Suppose pipe A alone takes x hours to fill the tank.
Then, pipes B and C will take x/2 and x/4 hours respectively to fill the tank.
1/x + 2/x + 4/x = 1/5
7/x = 1/5 => x = 35 hrs.
Answer: C
Answer: (C) 35 hrs
Question: 25 is subtracted from 75% of a number, the result is 50. Find the number?
(A) 150
(B) 75
(C) 125
(D) 95
(E) 100
Rationale: (75/100) * X â€“ 25 = 50
7.5X = 750
X = 100
Answer:E
Answer: (E) 100
Question: What is 92% of 3/4?
(A) 6.9
(B) 69.0
(C) 0.6845
(D) 0.6859
(E) 0.69
Rationale: Soln:-
120% = 12/10
5/8 * 12/10 = 60/80 = 6/8 = 3/4
=0.69
Answer: E.
Answer: (E) 0.69
Question: J and M were each paid x dollars in advance to do a certain job together. J worked on the job for 8 hours and M worked for 2 hours less than J. If M gave J y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that J was paid in advance?
(A) a)4y
(B) b)5y
(C) c)6y
(D) d)7y
(E) e)9y
Rationale: J and M were both paid x dollars
If M gave Y dollars from her X to J then at the end
J will have X+Y dollars
M will have X- Y dollars
Now since the hourly wages have to be same then
Hourly wage of J = (X+Y) / 8 (Since J worked for 8 hrs)
Hourly wage of M = (X-Y) / 6 (Since M worked 2 hrs less than J)
Equating both
(X+Y)/8=(X-Y)/6
on simplifying X=7Y
Answer D
Answer: (D) d)7y
Question: My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years ?
(A) 56
(B) 72
(C) 68
(D) 91
(E) 85
Rationale: Let m be my age in years. If s is my son's age in years, then my son is 52s weeks old. If g is my grandson's age in years, then my grandson is 365g days old. Thus,
365g = 52s.
Since my grandson is 12g months old,
12g = m.
Since my grandson, my son and I together are 120 years,
g + s + m = 120.
The above system of 3 equations in 3 unknowns (g, s and m) can be solved as follows.
m / 12 + 365 m / (52 x 12) + m = 120 or
52 m + 365 m + 624 m = 624 x 120 or
m = 624 x 120 / 1041 = 72.
So, I am 72 years old.
correct answer is B)72
Answer: (B) 72
Question: A certain truck uses 18 gallons of diesel fuel in traveling 250 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?
(A) 8
(B) 10
(C) 12
(D) 15
(E) 27
Rationale: There are two sets 18G1 gallons and 10G2 gallons details given.
18 gallons covering 250 miles
Then 1 G1 is used to cover 15 miles.
Now for 10 G2 covering 2750 miles.
then 1 G2 is used to cover 25 miles.
There must 25- 15 = 10 miles per gallon increment is needed for 10 gallons to improve the mileage to cover 270 miles.
IMO B is correct answer.
Answer: (B) 10
Question: If all the sides of a right triangle increase in length by 5%, then by what percentage does the area of the triangle increase?
(A) 10.25%
(B) 20.50%
(C) 25.75%
(D) 30.25%
(E) 35.50%
Rationale: Let B be the base and H be the height of the original triangle.
The original area is (1/2)BH.
The area of the expanded triangle is (1/2)(1.05B)(1.05H) = (1.05)(1.05)(1/2)BH = 1.1025(1/2)BH
The answer is A.
Answer: (A) 10.25%
Question: A certain junior class has 1,000 students and a certain senior class has 800 students. Among these students, there are 40 siblings pairs, each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected at will be a sibling pair?
(A) 3/40,000
(B) 1/3,600
(C) 1/20,000
(D) 1/60
(E) 1/15
Rationale: Total number of ways of choosing one student from each group is = 800 * 1000
Number of cases in which a sibling pair will be got is = 40
Thus the probability that the 2 students selected will be a sibling pair is
= 40 /(800 * 1000)
= 1/20,000
C
Answer: (C) 1/20,000
Question: The product of all the prime numbers less than 15 is closest to which of the following powers of 10?
(A) 10^9
(B) 10^8
(C) 10^7
(D) 10^6
(E) 10^5
Rationale: OA: E
Answer: (E) 10^5
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
(A) 140 m
(B) 150 m
(C) 160 m
(D) 240 m
(E) None
Rationale: Sol.
Speed = [60 * 5/18] m/sec = [50/3] m/sec.
Length of the train = (Speed * Time) = [50/3 * 9] m = 150m.
Answer B
Answer: (B) 150 m
Question: John has both apples and bananas. The ratio of apples to bananas is 2 to 5. If there are 6 more bananas than apples, how many bananas are there?
(A) 8
(B) 10
(C) 12
(D) 14
(E) 16
Rationale: Let B be the number of bananas, and A be the number of apples.
Since the ratio of A to B is 2 to 5, that means that A = 2/5B.
We also know that A = B-6. Therefore we can substitute:
B-6 = 2/5B
Now we can solve for B:
If we isolate B, we see that:
3/5B = 6
And so
B = 10
Answer: (B) 10
Question: If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate?
(A) Rs. (ydS
(B) s.	(xy/d)
(C) Rs. (xd)
(D) Rs. (yd/x)
(E) Rs. (yd)
Rationale: Explanation:
Cost of x metres = Rs. d.
Cost of 1 metre=Rs.(d/x)
Cost of y metres=Rs.[(d/x).y]=Rs.(yd/x)
Answer: D
Answer: (D) Rs. (yd/x)
Question: John's Bank's saving amount is decreased 20% due to loan payment and current balance is Rs.24000. Find the actual balance before deduction?
(A) 8000
(B) 8500
(C) 9000
(D) 9500
(E) 30000
Rationale: 20% decreased
80% Balance = 24000
100% = 24000/80*100 = 30000
Answer : E
Answer: (E) 30000