mathewhe/aqua_rat huggingface dataset:
Question: If n is an even negative integer, which of the following must then be an odd positive integer?
(A) 2n
(B) -2n + 1
(C) -(n^2)
(D) 2n - 1
(E) n^3
Rationale: Answer: B
A: 2n = even negative
B: -2n + 1 = odd positive
C: -(n^2) = even negative
D: 2n - 1 = odd negative
E: n^3 = odd negative
Answer: B
Answer: (B) -2n + 1
Question: A store purchased a pair of pants for $210 and was selling it at a price that equaled the purchase price of the pants plus a markup that was 25 percent of the selling price. After some time a store owner decided to decrease the selling price by 20 percent. What was the store's gross profit on this sale?
(A) $14
(B) $2
(C) $10
(D) $6
(E) $8
Rationale: Sale Price(SP) = 210 + Markup(MP)
--> Mp = SP-210
and given MP=SP/4 ( 25% is 1/4th)
so SP/4= SP-210
3SP/4= 210
SP=280
Now a discount of 20% is given so NEW SP is .8 *280 =224
Profit=224-210 =14
Answer is A
Answer: (A) $14
Question: There were two clock one is getting slow by two minutes/hr and another one is gaining 1 minute every hour and exactly after how many hours there two clock has a 1hr difference.
(A) 10 Hours
(B) 15 Hours
(C) 20 Hours
(D) 25 Hours
(E) 28 Hours
Rationale: Assume x as the current time.
After an hour:
Time in Clock1=x+58mins
Time in Clock2=x+61 mins
Time difference between both the clocks after an hour=61-58=3 mins
3 mins of time difference happens in 1 hour
therefore 60 min (i.e. 1 hour) of time diffrence will happen in= 1/3 *60 =20 Hours
ANSWER:C
Answer: (C) 20 Hours
Question: Jerry left a job paying $75,000 per year to accept a sales job paying $45,000 per year plus 15 percent commission. If each of his sales is for $750, what is the least number of sales he must make per year if he is not to lose money because of the change?
(A) 40
(B) 200
(C) 266
(D) 267
(E) 600
Rationale: In order not to lose money because of the change Jerry's total commission must beat least$75,000-$45,000=$30,000, so total sales must beat least$30,000/0.15=$200,000. Which means that he must makeat least$200,000/750=800/3=266.6 sales, so 267 sales.
Answer: D.
Answer: (D) 267
Question: Mathematics, physics, and chemistry books are stored on a library shelf that can accommodate 25 books. Currently, 20% of the shelf spots remain empty. There are twice as many mathematics books as physics books and the number of physics books is 4 greater than that of the chemistry books. Ricardo selects 1 book at random from the shelf, reads it in the library, and then returns it to the shelf. Then he again chooses 1 book at random from the shelf and checks it out in order to read at home. What is the probability Ricardo reads 1 book on mathematics and 1 on chemistry?
(A) 3%
(B) 6%
(C) 12%
(D) 20%
(E) 24%
Rationale: Shelf can accommodate 25 books but 20% of it is empty so there are in all 20 books.
If no of Chem books = x, number of Physics book = x+4, number of Math books = 2(x+4)
x + x+4 + 2(x+4) = 4x + 12 = 20
x = 2
Chem books = 2, Phy books = 6, Math books = 12
Probability of picking a Math book = 12/20
Probability of picking a Chem book = 2/20
Total Probability = Pick Math first and then Chem + Pick Chem first and then Math
= (12/20) * (2/20) + (2/20) * (12/20) = 12/100 = 12%
Answer:C
Answer: (C) 12%
Question: A number increased by 20% gives 600. The number is
(A) 250
(B) 400
(C) 450
(D) 500
(E) 520
Rationale: Formula = TOTAL=100% ,INCRESE = "+" DECREASE= "-"
A number means = 100 %
That same number increased by 20 % = 120 %
120 % -------> 600 (120 × 5 = 600)
100 % -------> 500 (100 × 5= 500)
D)
Answer: (D) 500
Question: .
On dividing a number by 357, we get 38 as remainder. On dividing the same number 17, what will be the remainder ?
(A) 0
(B) 3
(C) 4
(D) 8
(E) 11
Rationale: Let x be the number and y be the quotient. Then,
x = 357 x y + 38
= (17 x 21 x y) + (17 x 2) + 4
= 17 x (21y + 2) + 4)
Required remainder = 4.
Answer: Option C
Answer: (C) 4
Question: The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 18 years(the child was born during the interval). What is the present age of the child?
(A) 13 years
(B) 9 years
(C) 6 years
(D) 4 years
(E) 5 years
Rationale: 28 * 2 = 56
23 * 3 = 69
-----------
13 years
Answer: A
Answer: (A) 13 years
Question: There are 8 digit mobile numbers. From that how many 8 digit mobile numbers can be formed if any digit can be repeated and 0 can also start the mobile number?
(A) 9^2
(B) 7^3
(C) 10^8
(D) 11^9
(E) 12^3
Rationale: Here the digits(0,1,2,3,4,5,6,7,8,9) can be repeated and 0 can also be used to start the mobile number. Hence, any of the 10 digits can be placed at each place of the 8 digit number.
10	10	10	10	10	10	10	10
Hence, required number of 8 digit mobile numbers
=10^8
C
Answer: (C) 10^8
Question: Let y = 2m + x^2 and m = 5x + 1.
If m^2 = 36, then which of the following can be a value of 2y + 3m?
(A) 100
(B) 130
(C) 141
(D) 142
(E) 44
Rationale: m^2 = 36 => m=6
6= 5x+1 => x=1
y= 2*6+1^2 = 13
2y+3m = 2*13+3*6 = 44
Answer : E
Answer: (E) 44
Question: A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
Rationale: M = 45
S = 1.5
DS = 6
US = 3
AS = (2 * 6 * 3) /9 = 4
Answer: A
Answer: (A) 4
Question: Find two numbers whose sum is 26 and whose product is 165.
(A) 11 and 12
(B) 11 and 13
(C) 11 and 15
(D) 11 and 16
(E) 11 and 19
Rationale: Let the two numbers be a and b and use the sum and product to write two equations with two unknowns
a + b = 26 and a b = 165
Solve the first equation for b
b = 26 - a
Substitute b in the equation a b = 165 by 26 - a
a (26 - a) = 165
Write the above equation in standard form
- a 2 + 26 a - 165 = 0
Solve the above equation for a
a = 11 and a = 15.
Use b = 26 - a to find b
when a = 11 , b = 15 and when a = 15 , b = 11.
The two numbers are 11 and 15.
Answer C
Answer: (C) 11 and 15
Question: Pure milk costs 3.60 per litre. A milkman adds water to 25 litres of pure milk and sells the mixture at 3 per litre. How many litres of water does he add?
(A) 2 litres
(B) 5 litres
(C) 7 litres
(D) 11 litres
(E) None of these
Rationale: In mixture,
Quantity of pure milk /Quantity of water=3−0/3.6−3=3/0.6=5/1
Since in every 5 litres of milk, he adds 1 litre of water.
∴ In every 25 litres of milk, he adds 5 litres of water.
Answer B
Answer: (B) 5 litres
Question: If y = x^2 + mx + n, y is minimum when x is:
(A) m/n
(B) -m/n
(C) -m/2
(D) -n/2
(E) n/m
Rationale: We're given the equation Y = X^2 + mX + n.
IF.. we use a simple Classic Quadratic....
m = 2
n = 1
Y = X^2 + 2X + 1
We can then go about finding the answer that yields the MINIMUM result when X = ...
Answer A: m/n = 2/1 = 2 --> 4+4+1 = +9
Answer B: -m/n = -2/1 = -2 --> 4-4+1 = +1
Answer C: -m/2 = -2/2 = -1 --> 1-2+1 = 0
Answer D: -n/2 = -1/2 -->(1/4)-1+1 = +1/4
Answer E: n/m = 1/2 --> (1/4)+1+1 = +2 1/4
From these results, we can see the minimum result:
C
Answer: (C) -m/2
Question: Find the value of 3 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
(A) 800
(B) 500
(C) 900
(D) 1600
(E) 2400
Rationale: Answer
3 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
= 3 x [(36 x 48 x 250) / (12 x 9 x 5)]
= 3 x 4 x 4 x 50 = 2400
Correct Option: E
Answer: (E) 2400
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 850 grams per kg, what is his percent?
(A) 2%
(B) 25%
(C) 22%
(D) 17.65%
(E) 45%
Rationale: 850 --- 150
100 --- ? => 17.65%
Answer:D
Answer: (D) 17.65%
Question: The sale price sarees listed for Rs.340 after successive discount is 20% and 15% is?
(A) 298
(B) 231
(C) 342
(D) 876
(E) 291
Rationale: 340*(80/100)*(85/100)
= 231
Answer: B
Answer: (B) 231
Question: If 2|2 –w| = 5, what is the sum of all the possible values for w ?
(A) 1/2
(B) 2
(C) 5/2
(D) 4
(E) 5
Rationale: if w<2, then 2-w=5/2; w=-1/2
if w>2 , then w-2=5/2; w=9/2
9/2-1/2=8/2=4=D
Answer: (D) 4
Question: Factor: 16w3 – u4w3
(A) w3(4 + u2)(2 + u)(2 + u)
(B) w3(4 + u2)(2 - u)(2 + u)
(C) w3(4 + u2)(2 + u)(2 - u)
(D) w3(4 - u2)(2 + u)(2 - u)
(E) w3(4 + u2)(2 - u)(2 - u)
Rationale: 16w3 – u4w3.
= w3(16 – u4).
= w3(42 - ((u2)2).
= w3(4 + u2)(4 - u2).
= w3(4 + u2)(22 - u2).
= w3(4 + u2)(2 + u)(2 - u).
Answer: (C)w3(4 + u2)(2 + u)(2 - u).
Answer: (C) w3(4 + u2)(2 + u)(2 - u)
Question: Let the polynomials be:
P1(x)=3x2−7x+5,
P2(x)=−5x2−4x+2,
P1(x)+P2(x)=
(A) 2x2 + 11x - 7
(B) -2x2 - 11x + 7
(C) -2x2 - 11x + 6
(D) 2x2 - 9x + 7
(E) None of these
Rationale: Solution:
P1(x)+P2(x)=(3x2−7x+5)+(−5x2−4x+2)=P1(x)+P2(x)=(3x2−7x+5)+(−5x2−4x+2)=
3x2−7x+5−5x2−4x+2=3x2−7x+5−5x2−4x+2=
−2x2−11x+7
Answer B
Answer: (B) -2x2 - 11x + 7
Question: 5^100 is divided by 18. Then what is the remainder?
(A) 10
(B) 11
(C) 13
(D) 15
(E) 16
Rationale: Here N = 18=2×32
ϕ(18)=18(1−12)(1−13) = 6
So 56 when divided by 18, remainder is 1.
So we can write the given expression 5100=(56)16×54 = (1)16×54 = 52×52=7×7=49
Now 49 when divided by 18, remainder is 13.
C
Answer: (C) 13
Question: If an investor puts $1000 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year?
(A) $1100.25
(B) $1100.75
(C) $1101.25
(D) $1101.75
(E) $1102.50
Rationale: 1.05*1.05*1000=$1102.50
The answer is E.
Answer: (E) $1102.50
Question: A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?
(A) 3/0
(B) 3/1
(C) 3/4
(D) 3/8
(E) 3/40
Rationale: Let A, B, C be the respective events of solving the problem and be the respective events of not solving the problem. Then A, B, C are independent events
are independent events
Now, P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4
P( none solves the problem) = P(not A) and (not B) and (not C)
=
= =
=
Hence, P(the problem will be solved) = 1 - P(none solves the problem)
Answer: C) 3/4
Answer: (C) 3/4
Question: If x is real, find the maximum value of the expression -2x^2 + 11x + 13.
(A) 16.125
(B) 20.125
(C) 24.125
(D) 28.125
(E) 32.125
Rationale: This is an equation of a downward facing parabola.
The maximum value is the top point of the parabola.
-2x^2+11x+13 = (-2x+13)(x+1)
The roots are 13/2 and -1.
The maximum value must be when x is halfway between these two points.
x = 2.75
The maximum value is -2(2.75)^2+11(2.75)+13 = 28.125
The answer is D.
Answer: (D) 28.125
Question: A family of 7 queue to get ice cream from a an ice cream van. What is the probability that the father will be standing right in front of the mother in the queue?
(A)  5%
(B)  10%
(C)  15%
(D)  21%
(E)  25%
Rationale: Possible Sitting position is 7! = 120
Father standing next to mother is 7 Combination 2
=7!/2!(7-2)!
=5040/2(120)
=5040/240
= 21
Answer = D
Answer: (D)  21%
Question: Find the area of trapezium whose parallel sides are 24 cm and 18 cm long, and the distance between them is 15 cm.
(A) 227
(B) 299
(C) 315
(D) 161
(E) 212
Rationale: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)
= 1/2 (24 + 18) * (15)
= 315 cm2
Answer: C
Answer: (C) 315
Question: In a group of 800 people, 3/5 play at least one instrument, 96 play two or more. What is the probability that one student play exactly one instrument?
(A) 2/125
(B) 12/25
(C) C)2/25
(D) 3/25
(E) 1/5
Rationale: P(playing 2 or more instruments) = 96/800 = 3/25.
Then, the probability of playing exactly one instrument is given by:
P(playing 1 or more instruments) - P(playing 2 or more instruments) = 3/5 - 3/25 = 12/25.
Answer B.
Answer: (B) 12/25
Question: The amount of principal Rs.8000 at compound interest at the ratio of 5% p.a. for 5 years is
(A) s.9621
(B) s.6921
(C) s.10210
(D) s.6261
(E) s.6361
Rationale: c.i=p(1+r/100)^n
=8000(1+5/100)^5
=Rs10210
ANSWER:C
Answer: (C) s.10210
Question: Two trains running in opposite directions cross a man standing on the platform in 37 seconds and 27 seconds respectively and they cross each other in 29 seconds. The ratio of their speeds is:
(A) 3 : 1
(B) 3 : 2
(C) 3 : 8
(D) 3 : 25
(E) 1 : 4
Rationale: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 37 x meters, and length of the second train = 27 y meters. (37 x + 27 y) / (x + y) = 29==>
37 x + 27 y = 29 x + 29 y ==> 8 x = 2 y ==> x/y = 2/8 = 1/4
Answer: Option E
Answer: (E) 1 : 4
Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
(A) 1
(B) 8
(C) 2
(D) 7
(E) 4
Rationale: 96% ---- 12
144% ---- ?
96/144 * 12 = 8
Answer: B
Answer: (B) 8
Question: Working alone, machine X can manufacture 1,200 nails in 12 hours. Working together, machines X and Y can manufacture 1,200 nails in 6 hours. How many hours does it take machine Y to manufacture 1,200 nails working alone?
(A) 3 9/17
(B) 5 1/3
(C) 7
(D) 10 1/5
(E) 12
Rationale: rate of machine x = 1200/12
(1200/12 + y)6=1200
y=100
100 * t = 1200
t=12
E.
Answer: (E) 12
Question: A store sells seven different kinds of shirts. If we want to buy two different kinds of shirts, how many possible combinations of two shirts can we buy?
(A) 21
(B) 22
(C) 23
(D) 24
(E) 25
Rationale: 7C2=21.
The answer is A.
Answer: (A) 21
Question: In how many ways can a four-letter password be chosen, using the letters A, B, C, D, E, and/or F, such that at least one letter is repeated within the password?
(A) 720
(B) 864
(C) 900
(D) 936
(E) 1,296
Rationale: Total number of four letter passwords = 6*6*6*6= 1296 ------(1)
Total number of passwords in which no letter repeats = 6C4*4!= 15*24=360------(2)
therefore required value = (1)-(2)= 1296-360=936
ANSWER:D
Answer: (D) 936
Question: In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?
(A) 83.39%
(B) 83.83%
(C) 83.93%
(D) 82.33%
(E) 83.33%
Rationale: Percentage of milk in the mixture formed
= [80/100 (180) + 36] / (180 + 36) * 100% = (144 + 36)/216 * 100%
= 5/6 * 100% = 83.33%.
Answer:E
Answer: (E) 83.33%
Question: Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
(A) 2400
(B) 2499
(C) 2779
(D) 2729
(E) 2791
Rationale: First persons investment = x
Second persons investment = x + 1000
Third persons investments = x + 2000
x + x + 1000 + x + 2000 = 9000
3x = 6000
x = 2000
Ratio = 2000 : 3000 : 4000
2:3:4
4/9 * 54000 = 2400
Anawer:A
Answer: (A) 2400
Question: 10% of the inhabitants of a village having died of cholera, a panic set in, during which 25% of the remaining inhabitants left the village. The population is then reduced to 4050. Find the number of original inhabitants.
(A) 5000
(B) 6000
(C) 7000
(D) 8000
(E) None of these
Rationale: Let the total number of original inhabitants be x. Then,
(100 – 25)% of (100 –10)% of x = 4050
⇒ (75/100×90/100×x) = 4050 ⇒ 27⁄40x = 4050
⇒ x = 4050×40/27=6000
∴ Number of original inhabitants = 6000.
Answer B
Answer: (B) 6000
Question: A bag contains 15 wool scarves, exactly one of which is red and exactly one of which is green. If Deborah reaches in and draws three scarves, simultaneously and at random, what is the probability that she selects the red scarf but not the green scarf?
(A) 2/35
(B) 1/15
(C) 6/35
(D) 13/70
(E) 1/5
Rationale: We have 15 scarves: 1 red, 1 green and 13 other. We're asked for the probability of grabbing 3 scarves that include the 1 red but NOT the 1 green scarf.
Even though the question states that we are supposed to grab all 3 scarves simultaneously, we can still refer to them as 1st, 2nd and 3rd. There are 3 ways to get what we *want*
R = Red
O = Other
ROO
ORO
OOR
The probability of getting ROO = (1/15)(13/14)(12/13) = 2/35
The probability of getting ORO = (13/15)(1/14)(12/13) = 2/35
The probability of getting OOR = (13/15)(12/14)(1/13) = 2/35
Total ways = 2/35 + 2/35 + 2/35 = 6/35
ANSWER:C
Answer: (C) 6/35
Question: The probability that a card drawn from a pack of 52 cards will be a diamond or a king is
(A) 2/13
(B) 4/13
(C) 1/13
(D) 1/52
(E) None
Rationale: Solution
Here, n(S) = 52.
There are 13 cards of diamond(including 1 king) and there are 3 more kings.
Let E = event of getting a diamond or a king.
Then, n(E) = (13+3)
= 16.
Therefore, P(E) = n(E)/n(S)
= 16 / 52
= 4 / 13.
Answer B
Answer: (B) 4/13
Question: A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
(A) 5
(B) 6
(C) 8
(D) 4
(E) 1
Rationale: US = 25
DS = 35
M = (35 - 25)/2 = 5
Answer: A
Answer: (A) 5
Question: the probability that I will sit next to Ann is 1/12.
the probability that I won't sit next to Alice is 11/12.
What is the probability that I will sit next to Alice and not next Ann?
(A) 1/6
(B) 11/12
(C) 11/144
(D) 1/12
(E) 1/144
Rationale: the probability that I won't sit next to Ann is 1-1/12=11/12.
the probability that I will sit next to Alice is 1-11/12 = 1/12.
Therefore the probability that I will sit next to Ann and Alice is 11/12*1/12=11/144
Answer:C
Answer: (C) 11/144
Question: For any integer z, the function PODD(z) is defined as the product of all odd integers between –z and z, inclusive. Which of the following numbers will not divide PODD(-15) completely?
(A) 3^8
(B) 5^5
(C) 7^3
(D) Options B and C
(E) Options A and C
Rationale: Solution 1:
Given PODD(Z) is product of all odd integers -Z to Z, so doesn't matter what the prime factors are, they will have even powers, So B and C WILL NOT divide PODD(-15) completely(!!!!, when you say completely i hope you meant without any remainder)
Solution 2:
PODD(-15) = (15.13.11.9.7.5.3)^2 and breaking down to prime factors (5.3.13.11.3.3.7.5.3)^2 = (13^2.11^2.7^2.5^4.3^8)
ANSWER:D
Answer: (D) Options B and C
Question: A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. What is the present age of the mother?
(A) 25
(B) 30
(C) 35
(D) 40
(E) 45
Rationale: Let present age of the mother =5x
Then, present age of the person =2x
5x+8=2(2x+8)5x+8=4x+16x=8present age of the mother =5x=40
Answer is D.
Answer: (D) 40
Question: There are 11 stamps from which two stamps will be selected. We have five stamps which are the same as five of the stamps which could be selected. What is the probability that the two stamps selected will be different from the stamps that we have?
(A) 3/17
(B) 4/19
(C) 5/21
(D) 6/22
(E) 7/23
Rationale: P(first stamp is different) = 6/11
P(second stamp is different) = 5/10
P(both stamps are different) = 6/11*5/10 = 6/22
The answer is D.
Answer: (D) 6/22
Question: Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 18% if no discount was offered?
(A) 17608
(B) 17606
(C) 17604
(D) 17600
(E) 18880
Rationale: Price at which the TV set is bought = Rs. 12,500
Discount offered = 20%
Marked Price = 12500 * 100/80 = Rs. 15625
The total amount spent on transport and installation = 125 + 250 = Rs. 375\Total price of TV set = 15625 + 375 = Rs. 16000
The price at whichthe TV should be sold to get a profit of 18% if no discount was offered = 16000 * 118/100 = Rs. 18880.Answer: E
Answer: (E) 18880
Question: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
(A) 28 sec
(B) 23 sec
(C) 24 sec
(D) 25 sec
(E) 26 sec
Rationale: D
25 sec
D = 100 + 150 = 250
S = 36 * 5/18 = 10 mps
T = 250/10 = 25 sec
Answer: (D) 25 sec
Question: If the S.P of Rs. 21 results in a 30% discount on the list price, What S.P would result in a 10% discount on the list price?
(A) s. 23
(B) s. 24
(C) s. 25
(D) s. 26
(E) s. 27
Rationale: Let the list price be Rs. X,
70/100*x = 21, x = 21*100/70 = 30
Required S.P = 90% of Rs. 30
= 90*30/100
=27
ANSWER:E
Answer: (E) s. 27
Question: Look at this series: 544, 509, 474, 439,404, 369, 334, ... What number should come next?
(A) 206
(B) 299
(C) 306
(D) 507
(E) 404
Rationale: 299
This is a simple subtraction series. Each number is 35 less than the previous number.
B
Answer: (B) 299
Question: In how many ways can the letters of the word "SATURN" be arranged?
(A) 560
(B) 640
(C) 720
(D) 800
(E) 880
Rationale: The total ways of arranging the letters = 6! = 720
The answer is C.
Answer: (C) 720
Question: If TIER is written as 9163 and BRAIN is written as 23415, how is RENT coded ?
(A) 3653
(B) 3657
(C) 2977
(D) 3659
(E) 2711
Rationale: Explanation:
Given :
Letter : T I E R B A N
Code : 9 1 6 3 2 4 5
Thus, the code for RENT is 3659.
ANSWER:D
Answer: (D) 3659
Question: An investor bought N shares of company X at $15 per share and N shares of company Y at $20 per share. If a month later the investor sold all the shares at $20 per share and made a profit of $200, then what is the value N?
(A) 35
(B) 40
(C) 50
(D) 60
(E) 75
Rationale: The investor made a profit of (2∗N∗20)−(15N+20N)=200. This equation simplifies to 5N=200 from where N=40.
Answer: B
Answer: (B) 40
Question: If 1488 / 1.24 = 1200, then 148.8 / 12.4 is equal to ?
(A) 17
(B) 10
(C) 14
(D) 12
(E) 11
Rationale: Answer
Given expression 148.8 / 12.4 = 1488 / 124
= 1488 / (1.24 x 100)
= 1200/100
=12
Correct Option: D
Answer: (D) 12
Question: Given that E and F are events such that P(E) = 0.16, P(F) = 0.4 and P(E n F) = 0.4,
find P (E|F) and P(F|E)?
(A) 1/4
(B) 1/7
(C) 3/7
(D) 4/9
(E) 5/11
Rationale: Here, E and F are events
P(E|F) = P(EnF)/P(F) = 0.4/0.4 = 1
P(F|E) = P(EnF)/P(E) = 0.4/0.16 = 1/4.
A)
Answer: (A) 1/4
Question: 2,6,30,60,130,221...tell 8th digit in series??
(A) 458
(B) 504
(C) 524
(D) 534
(E) 621
Rationale: in this series
T(n)=n^3+/- n
+ for odd n and - for even n
n=1 T(n)=1+1=2
n=2 T(n)=8-2=6
n=3 T(n)=27+3
n=4 T(n)=64-4=60
n=5 T(n)=125+5=130
n=6 T(n)=216-6=210
n=7 T(n)=343+7=350
n=8 T(n)=512-8=504
ANSWER:B
Answer: (B) 504
Question: The equal amounts of money are deposited in two banks each at 15% per annum for 3.5 years and 5 years respectively. If the difference between their interests is Rs.144, find the each sum?
(A) Rs.647
(B) Rs.640
(C) Rs.621
(D) Rs.619
(E) Rs.612
Rationale: (P*5*15)/100 - (P*3.5*15)/100 = 144
75P/100 – 52.5P/100 = 144
22.5P = 144 * 100
=> P = Rs.640
Answer:B
Answer: (B) Rs.640
Question: A dog buys a boat for rs.132.44 and sells it for rs.263.59. Find her gain %.
(A) 10%
(B) 99.03%
(C) 87%
(D) 16%
(E) 94.06%
Rationale: sol. cp=rs 132.44, sp=rs 263.59
gain=rs(263.59 –132.44)=rs 131.15
so gain%={(131.15/132.44)*100}=99.03%
Answer is B.
Answer: (B) 99.03%
Question: Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
(A) 5/7
(B) 5/3
(C) 5/1
(D) 5/6
(E) 5/2
Rationale: P(at least one graduate) = 1 - P(no graduates)
= 1 - ⁶C₃/¹⁰C₃ = 1 - (6 * 5 * 4)/(10 * 9 * 8)
= 5/6
Answer: D
Answer: (D) 5/6
Question: Evaluate 100^2 - 99^2 + 98^2 - 97^2 + 96^2 - 95^2 + ... + 2^2 - 1^2 =?
(A) 3043
(B) 5050
(C) 5176
(D) 9356
(E) 4890
Rationale: B
5050
You must have noticed that 50 pairs of n^2 – (n-1) ^2 exist.
n^2 – (n-1)^2 = n + (n – 1)
In such case, we may as well write 100^2 - 99^2 + 98^2 - 97^2 + 96^2 - 95^2 + ... + 2^2 - 1^2 as 100 + 99 + 98+ ... + 2 + 1 = (100 x 101)/2 = 5050
Answer: (B) 5050
Question: The compound interest on $ 27,000 at 11% p.a is $ 11,000.Find out the period (in years) ?
(A) 2.5
(B) 3 1/4
(C) 3
(D) 2 3/4
(E) 4
Rationale: Amount = 27,000 + 11,000
= 38,000 ......... Now by using compound interest formula we get, 27,000 * (111/100)^n = 38000 ====> n == 3 1/4 years
Ans - B
Answer: (B) 3 1/4
Question: What is the units digit of (3^10)(4^13)?
(A) 2
(B) 4
(C) 6
(D) 7
(E) 8
Rationale: -> The ones place of (~3)^n repeats after 4 times like 39713.
The ones place of (~4)^n repeats after 2 times like 464.
Then, 3^10=3^4*2+23^2.,
4^13=4^2*6+1=4^1=~4
which is (3^10)(4^13) (3^2)(~4)=(~9)(~4)=~6. Therefore, the answer is C.
Answer: (C) 6
Question: The sector of a circle has radius of 7 cm and central angle 135o. Find its perimeter?
(A) 91.5 cm
(B) 92.2 cm
(C) 28.9 cm
(D) 30.5 cm
(E) 98.2 cm
Rationale: Perimeter of the sector = length of the arc + 2(radius)
= (135/360 * 2 * 22/7 * 7) + 2(7)
= 16.5 + 14 =30.5 cm
Answer:D
Answer: (D) 30.5 cm