mathewhe/aqua_rat huggingface dataset:
Question: Rita bought 105 items from the market, and each item is either glass, cup, or spoon. If she ownsbought 5 more cups than glasses, and twice as many cups as glasses, how many glasses Rita did buy ?
(A) 20
(B) 25
(C) 30
(D) 40
(E) 50
Rationale: x = the number of glasses
y = the number of cups
z = the number of spoons
From the first sentence we have
Equation #1: x + y + z = 105
...she bought 5 more spoons than glasses...
Equation #2: z = 5 + x
...twice as many cups as glasses...
Equation #3: y = 2x
Now, we can replace y with x in Equation #1
x + 2x + z = 105
Equetion 4 : 3x + z = 105
by adding Equetion #2 and Equetion #4
4x = 100
x = 100/4
x = 25
There are 25 glasses. That's the answer. Just for check, this is 5 less than the number of spoons, so z = 30, y = 50, and 25 + 50 + 30 = 105.
Answer = 25,(B)
Answer: (B) 25
Question: If f(x) = -2x2 + 8x - 4, which of the follwoing is true?
(A) The maximum value of f(x) is -4.
(B) The graph of f opens upward.
(C) The graph of f has no x-intercept
(D) f is not a one to one function.
(E) The maximum value of f(x) is 4.
Rationale: f(x) is a quadratic function and its graph is a parabola that may be intercepted by horizontal lines at two points and therefore is not a one to one function. The answer is D
correct answer D
Answer: (D) f is not a one to one function.
Question: In an xy-coordinate plane, a line is defined by y = kx + 1. If (3, b), (a, 4), and (a, b+1) are three points on the line, where a and b are unknown, then k = ?
(A)  1/2
(B)  1
(C)  3/2
(D)  2/3
(E)  5/2
Rationale: b=3k+1...(1)
b+1=ak+1...(2)
4=ak+1...(3)
Taking (2) and (3)
4=b+1
b=3
Taking (1)
3=3k+1
k=2/3
Answer : D
Answer: (D)  2/3
Question: There are 1400 jelly beans divided between two jars, Jar X and Jar Y. If there are 300 fewer jelly beans in jar X than three times the number of beans in jar Y, how many beans are in jar X?
(A) 925
(B) 950
(C) 975
(D) 1000
(E) 1025
Rationale: X+Y=1400 so Y=1400-X
X=3Y-300
X=3(1400-X)-300
4X=3900
X=975
The answer is C.
Answer: (C) 975
Question: A, B, C are three consecutive positive integers (A>B>C). What is the value of the expression 2A +B + C?
(A) 6A+7.
(B) 5A+1.
(C) 4A-3.
(D) 6A-5.
(E) 6A-7.
Rationale: B = A-1
C= A-2
Putting these values in 2A +B + C we get 4A-3
C is the answer
Answer: (C) 4A-3.
Question: Last year, for every 100 million vehicles that travelled on a certain highway, 90 vehicles were involved in accidents. If 3 billion vehicles travelled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
(A) 288
(B) 320
(C) 2,700
(D) 3,200
(E) 28,800
Rationale: To solve we will set up a proportion. We know that “100 million vehicles is to 90 accidents as 3 billion vehicles is to x accidents”. To express everything in terms of “millions”, we can use 3,000 million rather than 3 billion. Creating a proportion we have:
100/90 = 3,000/x
Cross multiplying gives us:
100x = 3,000 * 90
x = 30 * 90 = 2,700
Correct answer is C.
Answer: (C) 2,700
Question: A hiker walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked two mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. How many miles in total did she walk?
(A) 24
(B) 44
(C) 73
(D) 60
(E) 62
Rationale: She walked 18 miles on the first day, walking 3 miles per hour i.e. total time of walk on Day-1 = 18/3 = 6 Hours
Second day time of walk = 6-1 = 5 hours and Speed = 3+2=5 miles per hour i.e. Distance walked on second day = 5*5 = 25 miles
Third day time of walk = 6 hours and Speed = 5 miles per hour i.e. Distance walked on second day = 6*5 = 30 miles
Total Distance travelled on three days = 18+25+30 = 73
Answer: Option C
Answer: (C) 73
Question: What should come in place of the question mark (X) in the following equation ?
60% of X + 2/3 of 39 = 44
(A) 30
(B) 37
(C) 28
(D) 26
(E) 18
Rationale: Explanation:
60% of X + 2/3 of 39 = 44
i.e. 3/5 of X + 2/3 of 39 = 44 (60% = 3/5)
3/5 * X + 2/3 * 39 = 44
3/5 * X + 26 = 44
3/5 * X = 18
X = 18 * 5/3
X = 30
ANSWER: A
Answer: (A) 30
Question: The ratio of ducks and frogs in a pond is 35 : 39 respectively. The average number of ducks and frogs in the pond is 152. What is the number of frogs in the pond ?
(A) 160
(B) 152
(C) 156
(D) 144
(E) None
Rationale: Solution:
Ratio of Ducks and Frogs in Pond,
= 35 : 39.
Average of Ducks and Frogs in Pond,
= 152.
So, total number of Ducks and Frogs in the Pond,
= 2* 152 = 304.
Therefore,
Number of Frogs, = (304 *39)/74 = 160.
Answer: Option A
Answer: (A) 160
Question: If x/(12p) is an even prime number, where x is a positive integer and p is a prime number, what is the least value of x?
(A)  22
(B)  33
(C)  44
(D)  48
(E)  99
Rationale: x/(12p) = even prime number
x = even prime number * 11p
Least value of x = Lowest even prime number * 12 * Lowest value of p
= 2 * 12* 2 = 48
Answer D
Answer: (D)  48
Question: What number has a 5:1 ratio to the number 10?
(A) 88
(B) 50
(C) 66
(D) 2881
(E) 11
Rationale: 5:1 = x: 10
x = 50
Answer: B
Answer: (B) 50
Question: A clock shows the time as 3:30 P.m. If the minute hand gains 2 minutes every hour, how many minutes will the clock gain by 1 a.m.?
(A) 23 Minutes
(B) 19 Minutes
(C) 25 Minutes
(D) 26 Minutes
(E) None of these
Rationale: if the minute hand gains 2 minutes in 1 hour the from 3:30 p.m-4:00 p.m it gains 1 min
then from 4:00p.m-4:00 a.m =9*2=18 total=19
ANSWER:B
Answer: (B) 19 Minutes
Question: A can do a job in 15days and B in 20days. If they work on it together for 4 days, then the fraction of the work that is left is?
(A) 2/15
(B) 8/15
(C) 3/11
(D) 1/12
(E) 6/13
Rationale: A's 1 day work = 1/15
B's 1day work = 1/20
A+B 1day work = 1/15 + 1/20 = 7/60
A+B 4days work = 7/60*4 = 7/15
Remaining work = 1 - 7/15 = 8/15
Answer is B
Answer: (B) 8/15
Question: Two trains are moving at 80 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
(A) 4 sec
(B) 5 sec
(C) 6 sec
(D) 7 sec
(E) 8 sec
Rationale: 70 + 80 = 150 * 5/18 = 125/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/125 = 6 sec
Answer:C
Answer: (C) 6 sec
Question: The radius of a cylindrical vessel is 5cm and height is 3cm. Find the whole surface of the cylinder?
(A) 251.4 sq cm
(B) 220 sq cm
(C) 440 sq cm
(D) 132 sq cm
(E) 138 sq cm
Rationale: r = 5 h = 3
2πr(h + r) = 2 * 22/7 * 5(8) = 251.4
ANSWER:A
Answer: (A) 251.4 sq cm
Question: In a apartment, 30% of the people speak English, 20% speak Hindi and 13% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
(A) 1/30
(B) 2/30
(C) 10/27
(D) 2/90
(E) 13/27
Rationale: P (E) = 30 / 100 , P (H) = 20 / 100 and P (E âˆ© H) = 13 / 100 =
P (E or H) = P (E U H)
= P (E) + P (H) - P (E âˆ© H)
= (30 / 100) + (20/100 - (13 / 100) = 37/100 = 10/27
C
Answer: (C) 10/27
Question: If 36 men can do a piece of work in 25 hours, in how mwny hours will15 men do it?
(A) 22
(B) 38
(C) 60
(D) 88
(E) 72
Rationale: Explanation:
Let the required no of hours be x. Then
Less men , More hours (Indirct Proportion)
\inline \fn_jvn \therefore 15:36 ::25:x \inline \fn_jvn \Leftrightarrow (15 x X)=(36 x 25) \inline \fn_jvn \Leftrightarrow \inline \fn_jvn x=\frac{36\times 25}{15}=60
Hence, 15 men can do it in 60 hours.
Answer: C) 60
Answer: (C) 60
Question: A bookshop had science and art books in the ratio of 2:5. By the end of the week, 20% of both type of books were sold and 2240 books were unsold. How many art books were there at the starting?
(A) 1355
(B) 1350
(C) 1450
(D) 1600
(E) 2000
Rationale: science books sold = 2x × 0.2 = 0.4x
science books unsold = 2x – 0.4x = 1.6x
art books sold = 5x × 0.2 = x
art books unsold = 5x – x = 4x
total books unsold = 1.6x + 4x = 5.6x
5.6x = 2240
x = 400
2x science = 800
and 5x art books = 2000
E
Answer: (E) 2000
Question: In the xy-plane, a line has slope 3 and x-intercept 4. What is the y-intercept of the line?
(A) -12
(B) -3
(C) 0
(D) 3
(E) 9
Rationale: Let the line be represented by a general equation y=mx+b, where m = slope (3) and b=y intercept. We are also given the value of x-intercept 4.
Theory : y intercept represents the point on the line where the x=0, and x intercept represents the point on the line where the y=0.
Putting these values in the equation : 0 = 3*4 + b => b = -12. Hence A.
Answer: (A) -12
Question: The income of a company increases 20% per annum. If its income is 2664000 in the year 1999 what was its income in the year 1997?
(A) 2220000
(B) 2850000
(C) 2121000
(D) 1855000
(E) None of these
Rationale: Let income in 1997 = x
According to the question,
Income in 1998 = x + x⁄5 = 6x⁄5
Income in 1999 = 6x⁄5 + 6x⁄25 = 36x⁄25
But given, income in 1999 = 2664000
∴ 36x⁄25 = 2664000 ⇒ x = 1850000
Answer E
Answer: (E) None of these
Question: 5 men and 5 women participated in a interview. If two people get the job, how many chances there will be at least a man is
selected?
(A) 30
(B) 32
(C) 35
(D) 31
(E) 40
Rationale: 5 women and 5 men. Two people is slelected
It is always better to subtract the total from none in case of at least one problems.
Total ways = 10C2 = 45
Total ways without any man = 5C2 = 10
Hence ways in which at least one man will be present = 45 - 10 = 35
Correct option: C
Answer: (C) 35
Question: A right triangle PQR has sides such that the longest side PR is twice the length of side PQ and thrice the length of side QR. If PR = 6, what is the area of the triangle?
(A) 6
(B) 36
(C) 3
(D) 2
(E) 4
Rationale: Since PR is twice of PQ, so PQ=3 and QR=2 since PR is thrice of QR. Area of right triangle equals PQ*QR/2. So the correct answer is C.
Answer: (C) 3
Question: An isosceles triangle has a perimetre of 37 centimetres and its base has a length of 9 centimetres. The other two sides will each have a length of
?
(A) 14 cm
(B) 15 cm
(C) 16 cm
(D) 17 cm
(E) 18 cm
Rationale: Solution:
The isosceles triangle has two equal sides. The sum of the equal sides will be 37 - 9 = 28 cm . Thus, one of them will be 28 ÷ 2 = 14 cm
Answer A
Answer: (A) 14 cm
Question: Of the employees in a company, 30 % are female who have a master degree. If 20 % of the female employees do not have a master degree, what percent of the employees in the company are female?
(A) 25 %
(B) 30 %
(C) 32.5 %
(D) 37.5 %
(E) 45 %
Rationale: No. of female employees with Masters = 0.3 x E (From the question)
No. of female employees without masters = 0.2 x F (From the question)
Therefore No. of female employees with masters = F - 0.2 F = 0.8 F
The 2 expressions equal each other therefore 0.8F = 0.3E; F/E = 0.3/0.8 = 37.5%
Ans: D
Answer: (D) 37.5 %
Question: If a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land Tails up exectly twice in 3 consecutive flips ?
(A) 0.375
(B) 0.25
(C) 0.325
(D) 0.5
(E) 0.666
Rationale: Total number of ways in which H or T can appear in 3 tosses of coin is
= 2 * 2 * 2 = 8 ways
For 2 T and 1 TH
Thus probability is
= P(HTT) + P(TTH) + P(THT)
= 1/8 + 1/8 + 1/8
= 3/8
= .375
Answer :A
Answer: (A) 0.375
Question: Find the no.of ways of arranging the boy and 4 guests at a circular table so that the boy always sits in a particular seat?
(A) 7!
(B) 4!
(C) 9!
(D) 10!
(E) 11!
Rationale: Ans.(B)
Sol. Total number of persons = 5 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 4 places in 4P4 = 4! Ways ... The number of required arrangements = 4! x 1= 4! = 4! ways
Answer: (B) 4!
Question: The difference of 2 digit number & the number obtained by interchanging the digits is 36. What is the difference the sum and the number if the ratio between the digits of the number is 1:2 ?
(A) 4
(B) 8
(C) 9
(D) 10
(E) 12
Rationale: Let the number be xy.
Given xy – yx = 36.
This means the number is greater is than the number got on reversing the digits.
This shows that the ten’s digit x > unit digit y.
Also given ratio between digits is 1 : 2 => x = 2y
(10x + y) – (10y +x) = 36 => x – y = 4 => 2y – y =4.
Hence, (x + y) – (x – y) = 3y – y = 2y = 8
B
Answer: (B) 8
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 5m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
(A) 54
(B) 32
(C) 75
(D) 20
(E) 11
Rationale: A/8 = 5 * 5 => A = 5 * 5 * 8
x * 2x = 5 * 5 * 8
x = 10 => 2x = 20
Answer:D
Answer: (D) 20
Question: Given 2 numbers; 8 and q, the LCM and HCF of both numbers is 72 and 1 respectively. Find q?
(A) 3
(B) 5
(C) 6
(D) 9
(E) 7
Rationale: HCF x LCM = Product of Numbers
1 x 72 = 8 x q
q = (1 x 72) / 8
other number = 9
ANSWER : D
Answer: (D) 9
Question: Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and PR is parallel to the x-axis. The x and Y coordinates of P,Q and R are to be integers that satisfy the inequalitites -4≤ X≤ 5 and 6≤ y≤ 16. How many different triangles with these properties could be constructed?
(A) 110
(B) 1100
(C) 9900
(D) 10000
(E) 12100
Rationale: total values for x=10;y=11
x1,y1=10*11.......................coordinates of 1st pnt
x2,y2=9*1(y2=y1)............... coordinates of 2nd pnt y coordinates will be same as that of 1st pnt bcoz it is parallel to x axis
x3,y3=1*10(x2=x3)..........coordinates of 3rd pt. x coordinates will be same as that of 2nd point bcoz to make a right angle it has to be parallel to y axis
tot ways=10*11*9*1*1*10=9900
ANS:C
Answer: (C) 9900
Question: What is the dividend. divisor 16, the quotient is 6 and the remainder is 2
(A) 86
(B) 87
(C) 88
(D) 89
(E) 90
Rationale: C = d * Q + R
C = 16 * 6 + 2
C = 86 + 2
C = 88
Answer: (C) 88
Question: If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is?
(A) 1.44%
(B) 1.74%
(C) 1.84%
(D) 1.47%
(E) 1.24%
Rationale: SP of each car is Rs. 325475, he gains 12% on first car and losses 12% on second car.
In this case, there will be loss and percentage of loss is given by
= [(profit%)(loss%)]/100
= (12)(12)/100 % = 1.44%
Answer:A
Answer: (A) 1.44%
Question: Three hundred students at College Q study a foreign language. Of these, 120 of those students study French, and 170 study Spanish. If at least 90 students who study a foreign language at College Q study neither French nor Spanish, then the number of students who study Spanish but not French could be any number from
(A) 10 to 40
(B) 50 to 90
(C) 60 to 100
(D) 60 to 110
(E) 70 to 110
Rationale: 120 students study French
180 students do not study French
170 students study Spanish
130 students do not study Spanish
90 students study neither French nor Spanish
180-130=50
180-90=90
B. 50 to 90
Answer: (B) 50 to 90
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 22 seconds. The ratio of their speeds is?
(A) 3/7
(B) 3/2
(C) 3/5
(D) 3/1
(E) 5/5
Rationale: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 22
==> 27 x + 17 y = 22x + 22 y ==> 5 x = 5 y ==> x/y
= 5/5.
Answer: E
Answer: (E) 5/5
Question: The heights of two right circular cones are in the ratio 1 : 2 and the perimeters of their bases are in the ratio 3 : 4. Find the ratio of their volumes.
(A) 1:14
(B) 12:4
(C) 9:6
(D) 1:7
(E) 9:32
Rationale: Let the radii of their bases be r and R and their heights be h and 2h respectively.
Then,(2r/2R)=(3/4)  R=(4/3)r.
 Ratio of volumes = (((1/3)r2h)/((1/3)(4/3r)2(2h)))=9: 32.
ANSWER E 9:32
Answer: (E) 9:32
Question: If a - b = 5 and a2 + b2 = 34, find the value of ab.
(A) A)4.5
(B) B)12
(C) C)15
(D) D)18
(E) E)20
Rationale: Explanation:
2ab = (a2 + b2) - (a - b)2
= 34 - 25 = 9
ab = 4.5.
Answer: A
Answer: (A) A)4.5
Question: Dawson got a weekly raise of $160. If he gets paid every other week, write an integer describing how the raise will affect his paycheck.
(A) 150
(B) 160
(C) 170
(D) 180
(E) 190
Rationale: Let the 1st paycheck be x (integer).
Dawson got a weekly raise of $ 160.
So after completing the 1st week she will get $ (x+160).
Similarly after completing the 2nd week she will get $ (x + 160) + $ 160.
= $ (x + 160 + 160)
= $ (x + 320)
So in this way end of every week her salary will increase by (B)$ 160.
Answer: (B) 160
Question: $500 will become $1000 in 6 years find the rate of interest?
(A) A)16.67%
(B) B)20%
(C) C)25%
(D) D)30%
(E) E)50%
Rationale: SI = simple interest = A-P = 1000-500 = $500
R = 100SI/PT = 100*500/500*6 =16.67%
Answer is A
Answer: (A) A)16.67%
Question: Which one of the following numbers can be removed from the set S = {0, 2, 4, 5, 9} without changing the average of set S?
(A) 0
(B) 2
(C) 4
(D) 5
(E) 6
Rationale: Solution:
The average of the elements in the original set S is: (0+2+4+5+9) /5 =20 /5 =4.
If we remove an element that equals the average, then the average of the new set will remain unchanged. The new set after removing 4 is {0, 2, 5, 9}.
The average of the elements is,
(0+2+5+9) /4=16 /4 =4.
Answer: Option C
Answer: (C) 4
Question: A man swims downstream 72 km and upstream 45 km taking 12 hours each time; what is the speed of the current?
(A) 1.125
(B) 1.128
(C) 1.126
(D) 1.123
(E) 1.121
Rationale: 72 --- 12 DS = 6
? ---- 1
45 ---- 12 US = 3.75
? ---- 1 S = ?
S = (6 - 3.75)/2 = 1.125
Answer:A
Answer: (A) 1.125
Question: If y is a positive even integer, and n and m are consecutive integers, then (n - m)^y/(m - n)^y =
(A) -2
(B) -1
(C) 0
(D) 1
(E) 2
Rationale: y= +ve even integer
Since,n and m are consecutive integers , their difference will be 1
((n-m)^y)/((m-n)^y)= ((n-m)/(m-n))^y = (-1)^y
Since we are raising the difference of n and m to power y , which is even , the answer will be 1 .
Answer D
Answer: (D) 1
Question: A car traveled 75% of the way from town A to town B at an average speed of 60 miles per hour. The car travels at an average speed of S miles per hour for the remaining part of the trip. The average speed for the entire trip was 40 miles per hour. What is S ?
(A) 10
(B) 20
(C) 25
(D) 30
(E) 37.5
Rationale: Total distance = 100 miles (easier to work with %)
75% of the distance = 75 miles
25% of the distance = 25 miles
1st part of the trip → 75/60 = 1.25
2nd part of the trip → 25/S = t
Total trip → (75+25)/40 = 1.25 + t » 100/40 = 1.25 + t » 2.5 = 1.25 + t » t = 1.25
Back to 2nd part of the trip formula: 25/S = 1.25 » S = 20
Ans B
Answer: (B) 20
Question: Here is 15 dots. If you select 3 dots randomly, what is the probability that 3 dots make a triangle?
(A) 440/455
(B) 412/455
(C) 434/455
(D) 449/455
(E) 438/455
Rationale: Total ways of selecting 3 dots out of 15 is 15C3 = 455 If 3 dots are collinear then triangle may not be formed. Now look at the above diagram. If we select any 3 dots from the red lines they may not form a triangle. They are 3 x 5C3 = 30. If we select the three letters from blue lines, they may not form a triangle. They are in total 5 ways. Also there are 6 others lines which don't form a triangle. Also another two orange lines. Total = 30 + 5 + 6 + 2 = 43. So we can form a triangle in 455 - 43 = 412. So answer could be 412/455.
ANSWER:B
Answer: (B) 412/455
Question: If f(2, 7) = 57 and f(1, 6) = 37, what is the value of f(3, 10)?
(A) 107
(B) 127
(C) 147
(D) None of these
(E) Cannot be determined
Rationale: Solution:
The function f(a, b) = a3 + b2
f(2, 7) therefore is = 23 + 72 = 8 + 49 = 57 and
f(1, 6) = 13 + 62 = 1 + 36 = 37.
Therefore, f(3, 10) = 33 + 102 = 27 + 100 = 127.
Answer B
Answer: (B) 127
Question: Usually the room tariff in this hotel is higher. At present, it is low because of the ______ season.
a. peak
(A) PINK
(B) bkue
(C) orancge
(D) off
(E) iwww
Rationale: Explanation:
Because of the Off season.
Answer:D
Answer: (D) off
Question: A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
(A) 5/6
(B) 5/9
(C) 5/4
(D) 5/2
(E) 5/1
Rationale: Two balls can be picked from nine balls in ⁹C₂ ways.
We select one white ball and one red ball from five white balls and four red balls. This can be done ⁵C₁ . ⁴C₁ ways.
The required probability = (5 * 4)/⁹C₂ = 20/36 = 5/9
Answer: B
Answer: (B) 5/9
Question: How many seconds will a 650 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 48 km/hr?
(A) 25
(B) 45
(C) 54
(D) 44
(E) 48
Rationale: Speed of train relative to man = 48- 3 = 45 km/hr.
= 45 * 5/18 = 25/2 m/sec.
Time taken to pass the man = 650 * 2/25 = 54 sec.
Answer: C
Answer: (C) 54
Question: What will be the compound interest on Rs. 25000 after 3 years at the rate of 12 % per annum
(A) Rs 10123.20
(B) Rs 10123.30
(C) Rs 10123.40
(D) Rs 10123.50
(E) None of these
Rationale: Explanation:
(25000×(1+12/100)3)
=>25000×28/25×28/25×28/25
=>35123.20
So Compound interest will be 35123.20 - 25000
= Rs 10123.20
Option A
Answer: (A) Rs 10123.20
Question: If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
(A) 192 km
(B) 162 km
(C) 172 km
(D) 168 km
(E) 112 km
Rationale: 12 m/s = 12 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 12 * 18/5 * 15/4 km = 162 km.
Answer:B
Answer: (B) 162 km
Question: If a and b are prime numbers, which of the following CANNOT be (x + y)?
(A) 5
(B) 9
(C) 13
(D) 16
(E) 23
Rationale: All answer choices but E are odd. In order odd number to be the sum of two prime numbers one must be even, so 2, and another odd.
Now, 23=2+21. Since 21 is not a prime then 23 cannot be written as the sum of two prime numbers.
Answer: E.
Answer: (E) 23
Question: Two 6 faced dice are thrown together. The probability that all the three show the same number on them is?
(A) 1/32
(B) 1/6
(C) 1/33
(D) 1/38
(E) 1/34
Rationale: The three dice can fall in 6 * 6 = 36 ways.
Hence the probability is 6/36
= 1/6
Answer: B
Answer: (B) 1/6
Question: 12 is 6% of a, and 6 is 12% of b. c equals b/a. What is the value of c?
(A) 1 / 2
(B) 1 / 3
(C) 1 / 4
(D) 1 /6
(E) 1 / 12
Rationale: 6a/100 = 12
a = 200
12b/100 = 6
b = 50
c = b/a = 50 / 200 = 1/4
The answer is C.
Answer: (C) 1 / 4
Question: Share Rs.4200 among John, Jose & Binoy in the ration 2 : 4 : 6.Find the amount received by John?
(A) 900
(B) 980
(C) 1200
(D) 1240
(E) 1400
Rationale: Amount received by sanjay.
4 / 12 X 4200 = 1400= ( related ratio / sum of ratio ) x Total amount
So, the Amount received by sanjay is 1400.
E
Answer: (E) 1400
Question: If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
(A) 20:15:18
(B) 20:15:16
(C) 20:15:12
(D) 20:15:11
(E) 20:15:15
Rationale: 6A = 8B = 10 C
A:B:C = 1/6:1/8:1/10
= 20:15:12
Answer: C
Answer: (C) 20:15:12
Question: In how many way the letter of the word "APPLE" can be arranged
(A) 20
(B) 40
(C) 60
(D) 80
(E) 90
Rationale: Explanation:
Friends the main point to note in this question is letter "P" is written twice in the word.
Easy way to solve this type of permutation question is as,
So word APPLE contains 1A, 2P, 1L and 1E
Required number =
=5!/1!∗2!∗1!∗1!=5∗4∗3∗2!/2!=60
Option C
Answer: (C) 60
Question: Jar A has 16% more marbles than Jar B . What percent of marbles from Jar A need to be moved into Jar B so that both jars have equal marbles?
(A) 5%
(B) 7%
(C) 9%
(D) 11%
(E) 13%
Rationale: An easy way to solve this question is by number plugging. Assume there are 100 marbles in Jar B then in Jar A there will be 116 marbles. Now, for both jars to have equal marbles we should move 8 marbles from A to B, which is 8/116=~7% of A.
Answer: B.
Answer: (B) 7%
Question: If green means red, red means white, white means blue, blue means orange and orange means green, what is the colour of snow ?
(A) Blue
(B) Green
(C) Yellow
(D) Red
(E) Pink
Rationale: Explanation:
The colour of snow is 'blue' and as given 'White' means Blue'.
so, the snow is 'blue'.
Answer: A
Answer: (A) Blue