mathewhe/aqua_rat huggingface dataset:
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 9 p.c?
(A) 38028
(B) 36400
(C) 32977
(D) 38128
(E) 38982
Rationale: CP + CP/8 = 45000
CP = 40000
SP = 40000*(95/100)
= 36400
Answer:B
Answer: (B) 36400
Question: In how many ways can three boys can be seated on five chairs?
(A) 60
(B) 15
(C) 30
(D) 10
(E) 20
Rationale: There are three boys.
The first boy can sit in any of the five chairs (5 ways).
5
Now there are 4 chairs remaining. The second boy can sit in any of the four chairs (4 ways).
5	4
Now there are 3 chairs remaining. The third boy can sit in any of the three chairs (3 ways).
5	4	3
Hence, total number of ways in which 3 boys can be seated on 5 chairs
=5×4×3=60
Ans: A
Answer: (A) 60
Question: A basket has 4 apples and 3 oranges. Two fruits are picked at random. The probability that at least 2 apples are picked is
(A) 2/7
(B) 2/9
(C) 3/7
(D) 3/10
(E) 4/7
Rationale: Total fruits = 7Since there must be at least two apples,4C2/7C2=2/7Answer:A
Answer: (A) 2/7
Question: Find a sum for first 11 prime numbers?
(A) 122
(B) 160
(C) 129
(D) 132
(E) 134
Rationale: Required sum = (2 + 3 + 5 + 7 + 11+13+17+19+23+29+31) = 160
Note: 1 is not a prime number
Option B
Answer: (B) 160
Question: Find the 18th term of an arithmetic progression whose first term is 4 and the common difference is 5.
(A) 45
(B) 38
(C) 72
(D) 74
(E) 78
Rationale: n th term of A.P = a +(n-1) *d
= 4+(18-1)*4 , = 4 + 68 = 72.
ANSWER:C
Answer: (C) 72
Question: The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
(A) 70 km/hr
(B) 75 km/hr
(C) 84 km/hr
(D) 87.5 km/hr
(E) 85 km/hr
Rationale: Let the speed of two trains be 7x and 8x km/hr.
Then, 8x = 400/4 = 100
x = 100/8 = 12.5
Speed of first train = (7 x 12.5) km/hr = 87.5 km/hr.
Answer:D
Answer: (D) 87.5 km/hr
Question: When Jessica withdrew $400 from her bank account, her account balance decreased by 2/5. If she deposits an amount equal to 1/4 of the remaining balance, what will be the final balance in her bank account?
(A) 300
(B) 375
(C) 400
(D) 500
(E) 750
Rationale: As per the question 400=2a/5
thus- a which is the total amount =1000
The amount thus left =600
She then deposited 1/4 of 600=150
total amount in her account =750
answer E
Answer: (E) 750
Question: A thief is noticed by a policeman from a distance of 300 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes ?
(A) 50 meter
(B) 100 meter
(C) 110 meter
(D) 120 meter
(E) 200 meter
Rationale: Explanation:
Relative speed of the thief and policeman = (11 – 10) km/hr = 1 km/hr
Distance covered in 6 minutes =
1/60∗6=1/10=100meters
So distance between them after 6 minutes = 300 - 100
= 200 meters
Option E
Answer: (E) 200 meter
Question: If in k+1 years from now John will be m years old, then how old was John t-1 years ago?
(A) m-k-t
(B) m+k-t+2
(C) m+k-t+1
(D) k-m-t+2
(E) k+t-m
Rationale: Age t-1 years ago is m - k - 1 - ( t - 1 )
Or, Age t-1 years ago is m - k - 1 - t + 1
Or, Age t-1 years ago is m - k - t
Hence, Answer will definitely be (A) m - k - t
Answer: (A) m-k-t
Question: On average, Machine A will produce a completed item once every four minutes, and Machine B will produce a completed item once every five minutes. The number of items Machine A produces in a 24-hour period is approximately what percent greater than the number of items Machine B would produce in that same period?
(A) 25%
(B) 15%
(C) 45%
(D) 33%
(E) 55%
Rationale: Machine A: 1 item in 4 minutes --> 1/4 items in 1 minute;
Machine B: 1 item in 5 minutes --> 1/5 items in 1 minute.
In the same time period, Machine A produces (1/4-1/5)/(1/5)*100=~25% more items than machine B.
Answer: A.
Answer: (A) 25%
Question: A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 14 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?
(A)  2,060
(B)  1,320
(C)  545
(D)  364
(E)  220
Rationale: 14*13*12/3*2*1 = 364
D
Answer: (D)  364
Question: Three 6 faced dice are thrown together. The probability that all the three show the same number on them is?
(A) 1/38
(B) 1/32
(C) 1/39
(D) 1/36
(E) 1/32
Rationale: It all 3 numbers have to be same basically we want triplets. 111, 222, 333, 444, 555 and 666. Those are six in number. Further the three dice can fall in 6 * 6 * 6
= 216 ways.
Hence the probability is 6/216
= 1/36
Answer:D
Answer: (D) 1/36
Question: If m and n are positive integers of I such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ?
(A) 2m/n + 1
(B) 2n/m + 1
(C) 2n/(m+1)
(D) 2m/n
(E) 2n/m
Rationale: Lets say N=10, M=5
2N=20. so the answer should be 4 (20/5)
lets try to plug in the answers:
A-not an integer
B-not an integer
C-not an integer
D-1 (not the answer)
E-4 - the answer. (the only one).
I would choose E.
Method 2
N=M*A (A is an integer)
So - A=N/M
therefore in 2N A will be 2N/M
Again - Answer is E.
Answer: (E) 2n/m
Question: Which of the following numbers is divisible by 5?
(A) 3221
(B) 6175
(C) 6231
(D) 5813
(E) 4251
Rationale: 6175. This is the only option with last two digits divisible by 5
Answer:B
Answer: (B) 6175
Question: In how many ways 4 boys and 2 girls can be seated in a row so that they are alternate.
(A) 48
(B) 288
(C) 12
(D) 256
(E) None
Rationale: Solution: Let the Arrangement be,
B G B G B B
4 boys can be seated in 4! Ways.
Girl can be seated in 2! Ways.
Required number of ways,
= 4!*2! = 48
Answer: Option A
Answer: (A) 48
Question: If Sn is the sum of the first n terms of a certain sequence and if Sn = n(n+2) 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 = 6
(This is what we wanted)
The third term is 4.
B
Answer: (B) 4
Question: In a class,10 students like to play Basketball and 8 like to play Cricket. 4 students like to play on both Basketball and Cricket. How many students like to play Basketball or Cricket or both?
(A) 12
(B) 15
(C) 16
(D) 18
(E) 14
Rationale: Draw a Venn Diagram yourself !
B + C - BC = Number of students that play either Basketball or Cricket
10 +8 - 4 = 14
E)
Answer: (E) 14
Question: Set R has a mean of 12 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most?
(A) {15, 16}
(B) {3, 4}
(C) {6, 7}
(D) {5, 6}
(E) {11, 13}
Rationale: The lesser the variance( values closer to mean) ,lower the standard deviation. As discussed in question the mean is 12,the values (11,13) are closer than others.
Hence Answer : E
Answer: (E) {11, 13}
Question: If the height of a triangle is decreased by 40%, land its base is increased by 40%, what will be the effect on its area?
(A) No change
(B) 16% increase
(C) 8% decrease
(D) 16% decrease
(E) None of thes
Rationale: Regd effect = ∣∣40−40−40×40100∣∣%=−16%|40−40−40×40100|%=−16%
i.e., the area will decrease by 16%
Answer D
Answer: (D) 16% decrease
Question: 2 log10 5 + log10 8 – ½ log10 4 = ?
(A) 2
(B) 4
(C) 2 + 2 log10 2
(D) 4 - 4 log10 2
(E) 6
Rationale: 2 log10 5 + log10 8 – ½ log10 4
= log10 (52) + log10 8 - log10 (41/2)
= log10 25 + log10 8 - log10 2 = log10 (25*8)/2
= log10 100 = 2
ANSWER:A
Answer: (A) 2
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
(A) 20%
(B) 25%
(C) 13 1/30%
(D) 12%
(E) 13%
Rationale: SP2 = 2/3 SP1
CP = 100
SP2 = 80
2/3 SP1 = 80
SP1 = 120
100 --- 20 => 20%
ANSWER:A
Answer: (A) 20%
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
(A) 15
(B) 17
(C) 12
(D) 16
(E) 13
Rationale: Let the breadth of the plot be b m.
Length of the plot = 3 b m
(3b)(b) = 867
3b2 = 867
b2 = 289 = 172 (b > 0)
b = 17 m.
Answer: Option B
Answer: (B) 17
Question: The ratio of boys and girls in a college is 5:6.if 25% of boys and 25%of girls are scholarship holders.then what percentage of students does not get the scholarship?
(A) 89%
(B) 78%
(C) 85%
(D) 65%
(E) 75%
Rationale: Ratio of boys : girls => 5x : 6x
Total no. of students including boys nd girls = 5x+6x = 11x
25% of boys => 5x*25/100 = 5x/4
25% of girls => 6x*25/100 =3x/2
No. of students getting scholorship => 5x/4 + 3x/2 = 11x/4
No. of students does not get the scholorship = 11x - 11x/4 = 33x/4
% of students not getting scolorship => 33x/4/11x * 100
=> 100*33x/44x
= 75%
ANSWER:A
Answer: (A) 89%
Question: A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Rationale: Let A's speed = x km/hr. Then, B's speed = (7 - x) km/ hr.
So, 24/x + 24/(7 - x) = 14
x2 - 98x + 168 = 0
(x - 3)(x - 4) = 0 => x = 3 or 4.
Since, A is faster than B, so A's speed = 4 km/hr and B's speed = 3 km/hr.
Answer:B
Answer: (B) 3
Question: If population of certain city increases at the rate of 4%. If population in 1981 was 138910, then population in 1979 was?
(A) 12,0000
(B) 130000
(C) 128130
(D) 627000
(E) 12690
Rationale: Explanation:
X * (104/100) * (104/100) = 138915
X = 138910/1.0816
X = 128130
Answer: Option C
Answer: (C) 128130
Question: Silk is purchased for $250 per square yard at the Silk Market. The silk is cut into patterns and made into s-size shirts - the excess silk is discarded (1/5 of the silk material). The area is 2 square yards in the pattern that makes 1 side of an s-size shirt. If 2 sides make one shirt, how much money is needed to buy silk to make x number of s-size shirts, in dollars?
(A) 2x
(B) 15x/8
(C) 850x
(D) 1,250x
(E) 3,000x/2
Rationale: The initial cost for a square yard of silk is = $250.
It takes 2 square yards of silk to make one side of an s-size shirt, but 1/5 of the material is wasted in cutting the material into patterns. The cost is; therefore, (1 square yard)(1 - 1/5) = $250, and so, 1 square yard = $250(5/4) for useful silk.
Because it takes 2 square yards to make one side, and 2 sides to make one shirt:
(2)(2)($250(5/4) = $1,250 = cost 1 shirt.
So, x number of shirts cost $1,250x
Answer is D
Answer: (D) 1,250x
Question: Two cars cover the same distance at the speed of 56 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
(A) 373
(B) 338
(C) 448
(D) 838
(E) 939
Rationale: Explanation:
56(x + 1) = 64x
X = 7
56 * 8 = 448 km
Answer: Option C
Answer: (C) 448
Question: Insert the missing number. 12, 25, 49, 99, 197, 395, (...)
(A) 789
(B) 722
(C) 812
(D) 779
(E) 1579
Rationale: Each number is twice the previous one with 1 added or subtracted alternatively.
Answer is A.
Answer: (A) 789
Question: A certain board game is played by rolling a pair of fair six-sided dice and then moving one's piece forward the number of spaces indicated by the sum showing on the dice. A player is frozen if her opponent's piece comes to rest in the space already occupied by her piece. If player A is about to roll and is currently five spaces behind player B, what is the probability that player B will be frozen after player A rolls?
(A) 1/12
(B) 5/36
(C) 1/9
(D) 1/3
(E) 17/36
Rationale: no. of possible outcomes = 6*6 = 36
no. of outcomes that result a total of 5 (as A is 5 spaces behind B) = 4 ( (1,4), (2,3), (3,2), (4,1) )
So, the probability = 1/9 (Option C)
Answer: (C) 1/9
Question: Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?
(A) 1500
(B) 1000
(C) 2000
(D) 3000
(E) 3500
Rationale: (x*5*1)/100 + [(2500 - x)*6*1]/100 = 140
X = 1000
ANSWER B
Answer: (B) 1000
Question: Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 50 films, and broke even on none of them, how many of their films were profitable?
(A) 18
(B) 19
(C) 20
(D) 21
(E) 49
Rationale: After fiddling some more, this is how I got to answer choice E...but did I get here using voodoo math or is it sound?
(.60*.75) + (.40*.25) = .44 + .10 = .55
55/100 = 11/20
Then subtract from 50:
50 - 11/20 = 49 (answer E)
Answer: (E) 49
Question: A number is missing from the number series below.
Can you find it ?
84, 155, ?, 399 , 584, 819.
(A) 275
(B) 350
(C) 399
(D) 258
(E) 449
Rationale: D
The missing number is 258.
84 = 4^3 + 3^2 + 4
155 = 5^3 + 5^2 + 5
399 = 7^3 + 7^2 + 7
584 = 8^3 + 8^2 + 8
819 = 9^3 + 9^2 + 9
Thus,
258 = 6^3 + 6^2 + 6
Answer: (D) 258
Question: Total dinning bill for 7 people was $211.00.If they add 15% tip and divided the bill evenly ,
approximate.What was each persons find share$
(A) 30.14
(B) 34.66
(C) 32.4
(D) 32.29
(E) 33.16
Rationale: (211*15/100)=31.65
(211+31.65)/7=34.66
ANSWER:B
Answer: (B) 34.66
Question: sushi decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. If sushi 's savings by the end of the year from these monthly savings were seven times the amount she spent per month, what should be the fraction of her salary that she spent each month?
(A) 12/19
(B) 12/20
(C) 19/12
(D) 12/17
(E) 12/13
Rationale: Let sushi's monthly savings = S
sushi's monthly pay = P
sushi's monthly expenditure = P-S
sushi's savings by the end of the year from these monthly savings were seven times the amount she spent per month
12S = 7*(P-S)
=>12/7 S = P-S
=> P = 19/7 S
sushi's monthly expenditure = P-S = 19/7S-S = 12/7S
fraction of her salary that sushi spent each month = 12/7S / 19/7S=P-S/P = 12/19. Answer is A
Answer: (A) 12/19
Question: In an election between the two candidates, the candidates who gets 70% of votes polled is winned by 160 vote’s majority. What is the total number of votes polled?
(A) 750
(B) 400
(C) 800
(D) 850
(E) None of these
Rationale: Explanation:
Note: majority (40 %) = difference in votes polled to win (70 %) & defeated candidates (30 %)
40 % = 70 % - 30 %
40% -----> 160 (40*4 = 160)
100% -----> 400 (100*4 = 400)
Answer: Option B
Answer: (B) 400
Question: Prints a page 30 pg per min .If the printed for 2 hours except 10 min.Where there
was an paper jam,how many page did it print
(A) 10,880
(B) 3,300
(C) 14,880
(D) 8,880
(E) 18,880
Rationale: 30 pages ------->1 min
2 hrs except 10 mints means=2*60=120-10=110 mints
i.e.,110*30=3300 pages printed.
ANSWER:B
Answer: (B) 3,300
Question: solve this logic number sequence( based on circles in digits) puzzle by the correct digit?
8080=6
1357=0
2022=1
1999=3
6666=?
(A) 6
(B) 4
(C) 8
(D) 2
(E) 5
Rationale: Correct Answer : B
No. of circles in the number
Answer: (B) 4
Question: A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
(A) 32:48
(B) 32:40
(C) 32:45
(D) 32:46
(E) 32:41
Rationale: A : B
(8000*4)+(4000*8) : (9000*6)+(6000*6)
64000 : 90000
32 : 45
Answer: C
Answer: (C) 32:45
Question: A sum fetched total simple interest of 4016.25 at the rate of 11 p.c.p.a. in 5 years. What is the sum?
(A) 8925
(B) 8032.5
(C) 7302.3
(D) 8900
(E) None of these
Rationale: Let the sums be P.
Now, 55% of P = 4016.25
or, P = 7302.3
Answer C
Answer: (C) 7302.3
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 190 m long?
(A) 40 sec
(B) 42 sec
(C) 44 sec
(D) 48 sec
(E) 50 sec
Rationale: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 190 = 550 m
Required time = 550 * 2/25 = 44 sec
ANSWER:C
Answer: (C) 44 sec
Question: An aeroplane covers a certain distance at a speed of 120 kmph in 4 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
(A) 520
(B) 288
(C) 820
(D) 740
(E) 720
Rationale: Distance = (240 x 5) = 480 km.
Speed = Distance/Time
Speed = 480/(5/3) km/hr. [We can write 1 2/3 hours as 5/3 hours]
Required speed = (480 x 3/5) km/hr = 288 km/hr
Answer B) 288 Km/hr
Answer: (B) 288
Question: The present worth of Rs.1183 due in 2 years at 4% per annum compound interest is
(A) Rs.150.50
(B) Rs.154.75
(C) Rs.156.25
(D) Rs.1093.75
(E) None
Rationale: Solution
Present Worth	= Rs.[1183/(1+4/100)²]
= Rs.(1183x25/26x25/26)
= Rs.1093.75
Answer D
Answer: (D) Rs.1093.75
Question: A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 40 now, the son age 5 years back was
(A) 14
(B) 17
(C) 15
(D) 19
(E) 99
Rationale: Let the son's present age be x years .Then, (40 - x) = x x= 20.
Son's age 5 years back = (20 - 5) = 15 years
Answer: C
Answer: (C) 15
Question: A rectangular field has to be fenced on three sides leaving a side of 25 feet uncovered. If the area of the field is 880 sq. feet, how many feet of fencing will be required?
(A) 75.4 feet
(B) 98.4 feet
(C) 95.4 feet
(D) 85.4 feet
(E) 92.4 feet
Rationale: Area of the field =880 sq. feet.
Length of the adjacent sides are
25 feet and 880/25=35.2 feet.
Required length of the fencing=25+35.2+35.2=95.4 feet
ANSWER:C
Answer: (C) 95.4 feet
Question: At a dinner party 7 people are to be seated around a circular table. Two sitting arrangements are considered different only when the positions of the people are different relative to each other.What is the total number of possible sitting arrangements or the group?
(A) 5
(B) 10
(C) 5000
(D) 5040
(E) 120
Rationale: Hi there,
You can treat this as an ordering question except thatfor a circular arrangement you need to divide by the number of spaces.So in this case:
7!/7=5040
If you spin the circle to right, that doesn't count as a new arrangement. Dividing by the number of spaces takes that into consideration.
Happy Studies,
HG.
D
Answer: (D) 5040
Question: In a convention where they distributes prizes. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any number of prizes?
(A) 58
(B) 60
(C) 64
(D) 68
(E) 90
Rationale: In this case, repetitions are allowed, so all the three prizes can be given in 4 ways, i.e. (4 x 4 x 4) ways = 4*3 ways = 64 ways
Answer: (C) 64
Question: Find the area of trapezium whose parallel sides are 30 cm and 18 cm long, and the distance between them is 15 cm.
(A) 227
(B) 299
(C) 360
(D) 161
(E) 212
Rationale: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)
= 1/2 (30 + 18) * (15)
= 360 cm2
Answer: C
Answer: (C) 360
Question: A store sells women purses for $50 each and men's wallets for $40 each. On every women purse, the store makes a profit of $10 while on every men's wallet it makes a profit of $6. If on a given day the store's sales amounted to $1000, which of the following cannot be the profit made on that day?
(A) 140
(B) 150
(C) 160
(D) 200
(E) 180
Rationale: $140 is the only option that does not satisfy a combination of integer number sales of women's purses and men's wallets. Answer: A
Answer: (A) 140
Question: A + B = C
D - C = A
E - B = C
Based on the above equations, can you find out the outcome for:
D + F=?
(A) 15
(B) 14
(C) 13
(D) 12
(E) 10
Rationale: In this question, the alphabets represent their equivalent numeric position.
A = 1, B = 2, C = 3 and so on.
Thus,
A + B = c
=> 1 + 2 = 3
D - C = A
=> 4 - 3 = 1
E - B = C
=> 5 - 2 = 3
Which is why,
D + F = 4 + 6 = 10
Since, J is the 10th alphabet,
D + F = J.
correct answer is E)10
Answer: (E) 10
Question: A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%,his annual income is :
(A) Rs. 207.40
(B) Rs. 534.60
(C) Rs. 648
(D) Rs. 655.60
(E) Rs. 685.60
Rationale: Solution
Numbers of shares =(4455/825)=540
Face value = Rs. (540X10)=Rs.5400
Annual income = Rs.(12/10x5400) = Rs. 648.
Answer C
Answer: (C) Rs. 648
Question: Thomas's age and Matt's age are in the ratio 3:5. Two years ago the ratio of their ages was 5:9. Find the ratio of their ages four years hence?
(A) 1:2
(B) 2:3
(C) 3:4
(D) 4:5
(E) 5:6
Rationale: Let ages of Thomas and Matt be x and y respectively.
x/y = 3/5 => x = 3/5 y
(x- 2)/(y - 2) = 5/9
=> 9x - 18 = 5y - 10 => 9x = 5y + 8
But x = 3/5 y
9 * 3/5 y = 5y + 8
27y = 25y + 40 => y = 20 years
=> x = 3*20/5 => 12 years
Ratio of their ages four years hence, (12 +4)/(20+ 4) = 16/24. => 2:3
Answer:B
Answer: (B) 2:3
Question: The average score of a cricketer for ten matches is 38.9 runs. If the average for first six matches is 42, then average for last four matches is
(A) 33.25
(B) 32.25
(C) 34.25
(D) 34.5
(E) None of these
Rationale: Explanation:
=(38.9×10)−(42×6) / 4
=(1216−750) / 4=34.25
Option C
Answer: (C) 34.25
Question: The number N is 5,2H1, where H represents the ten's digit. If N is divisible by 3, what is the value of H?
(A) 1
(B) 3
(C) 5
(D) 6
(E) 9
Rationale: Integer is divisible by 3 - Sum of digits is divisible by 3
Answer: A
Answer: (A) 1
Question: In how many ways can a committee of 5 people comprising at least 3 boys be formed using a group of 5 boys and 6 girls?
(A) 67
(B) 64
(C) 65
(D) 66
(E) None of these
Rationale: There are 2 options: the selected groups have no girls or one girls.
-First case: 1 girl + 3 boys: 6C1 * 5C3 = 6*10 = 60
-Second case: 4 boys: 5C4 = 5
So there are 60 + 5 = 66 ways in total.
D
Answer: (D) 66
Question: 5216 × 51 = ?
(A) 266015
(B) 266014
(C) 266016
(D) 266116
(E) 266226
Rationale: Normal way of multiplication may take time. Here is one alternative.
5216×51=(5216×50)+5216=(5216×1002)+5216=5216002+5216=260800+5216=266016
Answer is C.
Answer: (C) 266016
Question: The division of a whole number N by 13 gives a quotient of 28 and a remainder of 2. Find N.
(A) 797
(B) 197
(C) 582
(D) 366
(E) 297
Rationale: According to the division process of whole numbers, N can be written, using multiplication, as follows
N = quotient *divisor + remainder = 28* 13 + 2 = 366 correc answer D
Answer: (D) 366