divelab/Sys2Bench huggingface dataset:
Question: In an increasing sequence of 8 consecutive even integers, the sum of the first 4 integers is 212. What is the sum of all the integers in the sequence?
Options:
A)252
B)368
C)456
D)586
E)590
Rationale: let the first term of the sequence be x
since it is consecutive even integers the terms be we x, x+2,x+4...x+14 (up to 8 terms)
now,
sum of first 4 terms =212
or,
4x+12=212
x=200/4=50
Thus the answer can now be calculated by either summing up 50+52+54+... 8th term
or
s=n/2(2a+(n-1)d
=8/2(2*50+(7*2))
=4(100+14)=456
C
Answer: C
Question: The ratio of two numbers is 3:4 and their sum is 28. The greater of the two numbers is?
Options:
A)8
B)10
C)12
D)16
E)18
Rationale: 3:4
Total parts = 7
= 7 parts --> 28 (7 × 4 = 28)
= 1 part ---->4 (1 × 4 = 4)
= The greater of the two number is = 4
= 4 parts ----> 16 (4 × 4 = 16)
D)
Answer: D
Question: A train running at 1/5 of its own speed reached a place in 10hours. How much time could be saved if the train would have run at its own speed?
Options:
A)8hrs
B)10hrs
C)12hrs
D)15hrs
E)6hrs
Rationale: New speed = 1/5 of usual speed
New time = 5/1 of usual time
5/1 of usual time = 10 hrs
Usual time = 10*1/5 = 2 hrs
Time saved = 10-2 = 8 hrs
Answer is A
Answer: A
Question: Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 cm x 6 m when 10% of its volume is occupied by mortar ?
Options:
A)720
B)600
C)660
D)6000
E)6500
Rationale: Explanation:
Let the number of bricks be 'N'
10 x 4/100 x 6 x 90/100 = 25/100 x 15/100 x 8/100 x N
10 x 4 x 6 x 90 = 15 x 2 x N => N = 720.
Answer IS A
Answer: A
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?
Options:
A)480
B)997
C)266
D)288
E)611
Rationale: Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively.
4a = 2(l + b)
2a = l + b
l . b = 480
We cannot find ( l + b) only with the help of l . b. Therefore a cannot be found .
Area of the square cannot be found.
Answer: A
Answer: A
Question: For a finite sequence of non zero numbers, the number of variations in the sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is negative. What is the number of variations in sign for the sequence 10, -3, 20, 5, -4, 6, -7 , 12?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: The questions basically asks: how many pairs of consecutive terms are there in the sequence such that the product of these consecutive terms is negative.
10*(-3)=-30=negative;
-3*20=-60=negative;
5*(-4)=-20=negative.
6 * (-7) = -42 > negative
-7 * 12 = -84 >>negative
So there are 5 pairs of consecutive terms.
Answer: E
Answer: E
Question: How many positive numbers are in a sequence of z numbers, if the sequence alternates between positive and negative numbers and z is an odd number. The sequence starts with a negative number.
Options:
A)(z-1)/2
B)z/2
C)z/(2-1)
D)(z+1)/2
E)z/(2+1)
Rationale: Lets put values for z, say z=7 since it's odd
and first number is neg so sequence will be {neg,pos,neg,pos,neg,pos,neg} we can see that it has 3 negative terms
so putting z=7 in the options,
option D = (z-1)/2 => 7-1/2 = 4 , the number of positive integers
So, D is the answer
Answer: D
Question: we need to carve out 125 identical cubes from a cube . what is the minimum number of cuts needed?
Options:
A)8
B)9
C)10
D)11
E)12 cuts
Rationale: Total no. of cubes=n^3
here n^3 = 125 which makes n=5,
also minimum no. of cuts required =3(n-1)
hence, 3(5-1)=12 cuts.
ANSWER:E
Answer: E
Question: 2 hours after train A leaves Lucknow a train B leaves the same stationtraveling in the same direction at an average speed of 28 km/hr. After traveling 6 hrsthe train B overtakes the train A. What is the average speed of the train A?
Options:
A)15 km/hr
B)16 km/hr
C)17 km/hr
D)21 km/hr
E)None of these
Rationale: Explanation :
Total distance covered by B=28*6=168kmTotal time taken by A to cover same distance=2+6=8 hrsaverage speed of A=168/8=21 km/hr
Answer : D
Answer: D
Question: A train moves with a speed of 189 kmph. Its speed in metres per second is
Options:
A)60.8
B)18
C)30
D)52.5
E)None
Rationale: Solution
Speed	= 189 Kmph
= (189 x 5/18)m/sec
= 52.5 m/sec.
Answer D
Answer: D
Question: Rajesh can finish 1/3 of his home work in one hour. Seema can finish 3/7 of
her homework in 65 minutes and Ramya can finish 3/4 of her homework in
three and a half hours. If all of them start their home work at 12.00 PM and can
go to play as soon as they all finish their homework. When can they start to
play, if they take a break at 3.00 PM for 35 minutes?
Options:
A)4:30pm
B)5:15pm
C)6:30pm
D)5:10pm
E)3:45pm
Rationale: ajesh can finish his work in 3 hr,
ramya can finish her work in 2.5 hr
seema can finish in 4.6 hr
so 5:15pm they can go to play
ANSWER:B
Answer: B
Question: In the xy-coordinate system, if (m, n) and (m + 3, n + k) are two points on the line with the equation x = 2y + 5, then k =
Options:
A)1/2
B)1
C)2
D)3/2
E)4
Rationale: Since (m, n) and (m + 2, n + k) are two points on the line with the equation x = 2y + 5 they should satisfy m=2n +5 and m+3 =2 *(n+k)+5.
By 1st equation we have m-2n=5 and by 2nd equation m-2n = 2k+2 ---> 5=2k+2 --->k=3/2.
The answer is, therefore, (D).
Answer: D
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Options:
A)20%
B)96%
C)40%
D)75%
E)23%
Rationale: The total CP = Rs. 16000 + Rs. 6250
= Rs. 22250 and SP = Rs. 31150
Profit(%)
= (31150 - 22250)/22250 * 100
= 40%
Answer: C
Answer: C
Question: A letter lock consists of four rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most ?
Options:
A)1340
B)1290
C)1295
D)1288
E)167
Rationale: Since each ring consists of six different letters, the total number of attempts possible with the four rings is
= 6 * 6 * 6 * 6= 1296. Of these attempts, one of them is a successful attempt.
Maximum number of unsuccessful attempts
= 1296 - 1
= 1295.
Answer: C
Answer: C
Question: How many liters of water must be added to 20 liters of milk and water containing 10% water to make it 60% water?
Options:
A)12
B)15
C)18
D)22
E)25
Rationale: By rule of alligation:
60% - 10% = 50%
100% - 60% = 40%
Quantity of pure water : Quantity of the mixture = 5 : 4
There are 20 liters of mixture, so we need to add 25 liters of pure water.
The answer is E.
Answer: E
Question: (32323 + 7344 + 41330) - (317 x 91) = ?
Options:
A)54210
B)54250
C)52150
D)None of these
E)521500
Rationale: Its speed and accuracy which decides the winner. You can use various methods including
Vedic mathematics to do complex calculations quickly.
(32323 + 7344 + 41330) - (317 x 91) = 80997 - 28847 = 52150
Answer is C
Answer: C
Question: X divided by Y equals 54.36 what is a possible remainder?
Options:
A)5
B)26
C)27
D)34
E)44
Rationale: With the decimal being 36/100, the simplest form is 9/25. If the divisor is a multiple of 25, the remainder must be a multiple of 9. The only number that is so is 27. Answer C.
Answer: C
Question: Two trains 140 metre and 160 metre long run at the speed of 60 km/hr and 40 km/hr respectively in opposite direction on parallel tracks. What time these will take to cross each other ?
Options:
A)10.7 Seconds
B)10.8 Seconds
C)10.9 Seconds
D)11.8 Seconds
E)None of these
Rationale: Explanation:
Relative Speed = 60+40 = 100 Kmph
= 100*(5/18) = 250/9 m/sec
Distance to be covered = 140 + 160 = 300 metres
Time = Distance/Speed
Time=300∗9/250=54/5=10.8 seconds
Option B
Answer: B
Question: The perimeter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
Options:
A)23.57
B)23.54
C)23.5
D)24.55
E)25.14
Rationale: Let the side of the square be a cm.
Perimeter of the rectangle = 2(18 + 14) = 64 cm
Perimeter of the square = 64cm
i.e. 4a = 64
A = 16
Diameter of the semicircle = 16 cm
Circumference of the semicircle
= 1/2(∏)(16)
= 1/2(22/7)(16) = 25.14 cm to two decimal places
Answer: E
Answer: E
Question: How many positive integers less than 100 have a remainder of 5 when divided by 13?
Options:
A)5
B)7
C)8
D)9
E)10
Rationale: We have to include 5 also.As 13*0 + 5 =5
If somebody says to divide 5 by 13 ,we will be telling we have 0 quotient and remainder as 5.
Answer is A
Answer: A
Question: Anand and Deepak started a business investing Rs. 800 and Rs. 1200 respectively. Out of a total profit of Rs. 2000, Deepak's share is:
Options:
A)3776
B)2687
C)1200
D)2688
E)2671
Rationale: Ratio of their shares = 800 : 1200 = 2:3
Deepak's share = 2000 * 3/5 = Rs. 1200.
Answer: C
Answer: C
Question: By what least number 4320 be multiplied to obtain a number which is a perfect cube?
Options:
A)15
B)25
C)30
D)40
E)50
Rationale: Clearly, 4320 = 23 * 33 * 22 * 5.
To make it a perfect cube, it must be multiplied by 2 * 52
i.e,50.
ANSWER E 50
Answer: E
Question: The product of all the prime numbers less than 27 is closest to which of the following powers of 10?
Options:
A)10^9
B)10^8
C)10^7
D)10^6
E)10^5
Rationale: OA: B
Answer: B
Question: A works thrice as much as B. If A takes 60 days less than B to do a work then find the number of days it would take to complete the work if both work together?
Options:
A)22.5 days
B)21.5 days
C)23.5 days
D)24.5 days
E)25.5 days
Rationale: if A finishes the job in x days
B finishes it in 3x days
3x = x + 60
thus
x = 30
in one hour
1/t = 1/30 + 1/90 = 4/90
where t is the number of days they finish the job together.
t = 90/4 = 22.5 days
ANSWER:A
Answer: A
Question: 1⁄5 of a number is equal to 5⁄8 of the second number. If 35 is added to the first number then it becomes 4 times of second number. What is the value of the second number?
Options:
A)125
B)70
C)40
D)25
E)None of these
Rationale: Let x be the first number and y be the second number.
1⁄5x = 5⁄8y
\ x⁄y = 25⁄8......(i)
x + 35 = 4y
or, 25⁄8y + 35 = 4y
\ y = 40
Answee C
Answer: C
Question: Calculate the L.C.M of 7/10, 8/ 9, 3/8, 5/12 is :
Options:
A)840
B)70
C)740
D)140
E)940
Rationale: Required L.C.M =L.C.M. of 7, 8, 3, 5/H.C.F. of 10, 9, 8, 12 =840/1=840
Answer is A
Answer: A
Question: A man can row a boat at 13 kmph in still water. If the speed of the stream is 5 kmph, what is the time taken to row a distance of 33 km downstream?
Options:
A)11/3
B)11/4
C)11/5
D)11/6
E)11/7
Rationale: Speed downstream = 13+5=18 kmph.
Time required to cover 60 km downstream = d/s = 33/18=11/6 hours. Answer:D
Answer: D
Question: Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
Options:
A)1261
B)1632
C)9177
D)1682
E)1672
Rationale: A = 8000(21/20)3
= 9261
= 8000
---------
1261
Answer:A
Answer: A
Question: A circular rim 28 inches in a diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes A revolutions per second, how many revilutions per minute does the larger rim makes in terms of A?
Options:
A)a) 48pi/A
B)b) 75m
C)c) 48A
D)d) 24A
E)e) A/75
Rationale: distance covered by a circular wheel per sec* = 2*pi* r * n
where n is number of revolution
So we know the smaller rim makes A rev per sec so the inches coverd SR per sec = 28 * pi* A
the problem the say SR rotates the same number of inches as the LR.
The inches covered by the LR per sec = 35 * pi*Y
So equate both u will get Y = 4/5 X
Theis is in sec we need the answer in min so 48A
answer is C
Answer: C
Question: The population of a town increased from 75,000 to 82,500 in a decade. The average percent increase of population per year is :
Options:
A)4.37%
B)5%
C)6%
D)1%
E)None of these
Rationale: Solution
Increase in 10 year= (82500 - 75000) = 7500.
Increase% =( 7500/75000x 100 )% = 10%
âˆ´ Required average = ( 10/10 )% = 1%
Answer D
Answer: D
Question: P beats Q by 5 seconds in a race of 1000 m and Q beats R by 5 metres in a race of 100 m. By how many seconds does P beats R in a race of 1000 m?
Options:
A)5 sec
B)7 sec
C)10 sec
D)Can't be determined
E)None of these
Rationale: Explanation :
If P takes t seconds to run 1000 m, then Q takes (t+5) sec.
In (t+5) sec Q runs 100 m whereas R runs only 950 m.
R runs 1000 m in (1000/950)x(t+5)sec.
P takes t seconds to cover 1000m , while R takes (20t/19+100/95)sec.
From the data given, we cannot determine t .
Answer : D
Answer: D
Question: An artist wishes to paint a circular region on a square poster that is 4 feet on a side. If the area of the circular region is to be 1/2 the area of the poster, what must be the radius of the circular region in feet?
Options:
A)1/pi
B)sqrt(8/pi)
C)1
D)2/sqrt(pi)
E)pi/2
Rationale: Area of the poster is 4x4 = 16
1/2 the area = 8
pi*r^2 = 8
r^2 = 8/pi
r = sqrt(8/pi) answer : C
Answer: C
Question: A certain machine produces 850 units of product P per hour. Working continuously at this constant rate, this machine will produce how many units of product P in 7 days?
Options:
A)7,000
B)24,000
C)40,000
D)142,800
E)168,000
Rationale: Since 7 days consist of 24*7 hours the total hours of a week is 168 hours.
Since every hour the machine produces 850 units of product P the total product during 168 hours is 850*168=142,800.
Correct Option : D
Answer: D
Question: A and B began business with Rs.6000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of B.
Options:
A)240
B)288
C)273
D)877
E)361
Rationale: (6*8 + 5*4):(4*8 + 5*4)
17:13
13/30 * 630 = 273
Answer: C
Answer: C
Question: Length of a rectangular plot is 60 mtr more than its breadth. If the cost of fencing the plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
Options:
A)46 m
B)60 m
C)58 m
D)78 m
E)80 m
Rationale: Let breadth = x metres.
Then, length = (x + 60) metres.
Perimeter = 5300/26.5 m = 200 m.
2[(x + 60) + x] = 200
2x + 60 = 100
2x = 40
x = 20.
Hence, length = x + 60 = 80 m
E
Answer: E
Question: Sum of two numbers is 20. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?
Options:
A)A)5
B)B)9
C)C)11
D)D)13
E)E)15
Rationale: Explanation:
x + y = 20
2x – 3y = 5
x = 13 y = 7
D)
Answer: D
Question: A 10000 liter tank, half-full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes. At the same time, the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes. How many minutes does it take to fill the tank completely?
Options:
A)8
B)12
C)18
D)24
E)60
Rationale: In: we have: 1,000/2min = 500 litres per minute
Out: we have: 1,000/4 + 1,000/6
Then do: IN - OUT to figure out the net inflow per minute (you get 83.3). Then divide the total number of litres you need (5,000 by that net inflow to get the minutes) - 60 min. Answer E.
Answer: E
Question: Jerry wrote down all the positive integers that have at most 7 digits and
contain only the digits 0 and 1. How many times did he write down the
digit 1 ?
Options:
A)128
B)224
C)288
D)448
E)512
Rationale: Jerry wrote down a total of 27 − 1 = 127 numbers (0 is missing). Add 0 to the
numbers Jerry wrote. We divide the resulting 128 numbers in pairs. If x is one of the
numbers Jerry wrote then we put it in pair with 1111111 − x (whose digits are also 0s
and 1s). For example 1100101 is paired with 11010. In this way, we divide the numbers
into 64 distinct pairs so that each number appears exactly once. Note that there are
exactly 7 digits 1 in each pair. So, Jerry wrote the digit 1 exactly 64 × 7 = 448 times.
correct answer D
Answer: D
Question: Let f(x) = x^2 + bx + c. If f(3) = 0 and f(-3) = 0, then b + c =
Options:
A)18
B)15
C)-15
D)-21
E)-9
Rationale: f(x) = x^2 + bx + c. If f(3) = 0 and f(-3) = 0, then b + c =
f(3) = 0= 9+3b+c--- Taking 9 to the other side
-> 3b+c= -9
f(-3) = 0= 9-3b+c --- taking -3b+c to the other side
-> 3b-c=9
When we add these 2 equations, we get 6b= 0---> b= 0
And while substituting b= 0 we get c= -9.
b+c= -9--- Answer E
Answer: E
Question: The H.C.F. of two numbers is 30 and the other two factors of their L.C.M. are 25 and 24. The larger of the two numbers is
Options:
A)276
B)799
C)712
D)750
E)None
Rationale: Solution
Clearly, the numbers are (30 x 25) and (30 x 24).
Larger number = (30 x 25)	= 750.
Answer D
Answer: D
Question: The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is
Options:
A)4 years
B)5 years
C)6 years
D)7 years
E)8 years
Rationale: Explanation:
As per question we need something like following
P(1+R/100)n>2P
(1+20/100)n>2
(6/5)n>2
6/5×6/5×6/5×6/5>2
So answer is 4 years
Option A
Answer: A
Question: Divide Rs. 1100 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Options:
A)s.800
B)s.400
C)s.600
D)s.900
E)s.1100
Rationale: A+B+C = 1100
A = 1/3(B+C); B = 2/3(A+C)
A/(B+C) = 1/3
A = 1/4 * 1100 => 275
ANSWER:E
Answer: E
Question: A train 125 m long passes a man, running at 5 kmph in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Options:
A)38 km/hr
B)40 km/hr
C)44 km/hr
D)50 km/hr
E)None
Rationale: Sol.
Speed of the train relative to man = [125/10] m/sec = [25/2] m/sec.
= [25/2 * 18/5] km/hr = 45 km/hr.
Let the speed of the train be x kmph. Then, relative speed = (x - 5) kmph.
∴ x - 5 = 45 or x = 50 kmph.
Answer D
Answer: D
Question: In a meeting of 3 representatives from each of 6 different companies, each person shook hands with every person not from his or her own company. If the representatives did not shake hands with people from their own company, how many handshakes took place?
Options:
A)45
B)135
C)144
D)270
E)288
Rationale: There are total 18 people from 6 companies,3 from each.Now each of them starts shaking hands one by one with other companies representative. If the companies are A,B,C,D,E,F.
Each member from company A gets to shake hands with 15 people(Total 18 minus member from his company and himself).
Then each member from company B shakes hands with 12 people because they already shook hands with company A members. Similarly company C member shakes hand with 9 members and so on.
so we have (15*3)+(12*3)+(9*3)+(6*3)+(3*3) = 135
ANS:B
Answer: B
Question: If X and Y are digits and 3XY is a 3-digit number that is divisible by 20, which of the following is a possible product of X and Y?
Options:
A)45
B)40
C)35
D)23
E)47
Rationale: Key to this question is to remember the fact that a number divisible by 20 must X is a even, Y is a zero.
Only one answer choice meets the requirement.
Ans B.
Answer: B
Question: Tough and Tricky questions: Word Problems.
If Bill's salary increased by 16 percent, he would earn $812 per month. If instead, his salary were to increase by only 10 percent, how much money Y would he earn per month?
Options:
A)$700
B)$754
C)$770
D)$782
E)$893
Rationale: OFFICIAL SOLUTION:
(C) If Bill’s salary increased by 16% he would earn $812. Algebraically, this can be written as:
$812 = 1.16S, where S is his current salary.
Then S = $812/1.16 = $700.
Now that we know his current salary is $700, we can calculate what his salary would be if it were increased by 10%. We know that 10% of $700 is $70, so his salary would be:
Y=$700 + $70 = $770.
The correct answer is choice (C).
Answer: C
Question: A committee of 6 is chosen from 8 men and 4 women so as to contain at least 2 men and 3 women. How many different committees could be formed?
Options:
A)252
B)700
C)1404
D)2620
E)3510
Rationale: The only cases possible are :
1. 2 men and 4 women : 8C2 * 4C4 = 28
2. 3 men and 3 women: 8C3*4C3 = 224
Rest of the cases will either have 1 or 0 men (not allowed) or will have 1 or 2 or 0 women (not allowed)
Total possible combinations = 28+224 = 252. Thus A is the correct answer.
Answer: A
Question: In the faculty of Reverse-Engineering, 226 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 75% of the total?
Options:
A)515.
B)545.
C)618.
D)687.
E)666.
Rationale: Answer is D :687
Solution : Total number of students studying both are 423 + 226 - 134 = 515 (Subtracting the 134 since they were included in the both the other numbers already).
So 75% of total is 515, so 100% is approx. 687.
Answer: D
Question: A reservoir is provided by two pipes A and B. A can fill the reservoir 5 hours faster than B. If both together fill the reservoir in 6 hours, the reservoir will be filled by A alone in
Options:
A)12 hours
B)8 hours
C)10 hours
D)11 hours
E)None of these
Rationale: If x is the speed then speed of A= x + 5 and B = x
Time taken by A and B will be x and x + 5 resp.
1/x + 1/x + 5 = 1/6 ; x2 – 7x - 30 = 0 x = -3 or x = 10.
Since time can’t be negative, x =10.
Answer: C
Answer: C
Question: If x = y+3+4.5x and y = x+18, what is the value of x/y ?
Options:
A)-6/5
B)-7/20.
C)1/4.
D)5/6.
E)1.5
Rationale: Given x = y+3+4.5x --> Eq 1
and y = x+18 --> Eq 2
Here we are asked to find the value of X/Y ?
If you observe eq 1 , then we can understand that if we take Y as X then we get X value very quickly
Let's take X/Y = 1/4 => 4X = Y - eq 3.
Sub this value in eq 1 => we get X = 4X + 3 + 4.5 X
=> - 7.5X = 3
=> X = -2/5 --> Sub X in eq 3 to get Y, we get Y as -8/5.
X/Y = -2/5 / -8/5 => 1/4. we get the same value again.
Answer:option C is correct answer
Answer: C
Question: When the positive integer k is divided by the positive integer n , the remainder is 11. If k/n = 83.2 , what is the value of n?
Options:
A)9
B)20
C)55
D)70
E)81
Rationale: Here's an approach that's based on Number Properties and a bit ofbrute forcemath:
We're told that K and N are both INTEGERS.
Since K/N = 81.2, we can say that K = 81.2(N)
N has tomultiply outthe .2 so that K becomes an INTEGER. With the answers that we have to work with, N has to be a multiple of 5. Eliminate A and E.
With the remaining answers, we can TEST THE ANSWERS and find the one that fits the rest of the info (K/N = 81.2 and K/N has a remainder of 11)
Answer B: If N = 20, then K = 1624; 1624/20 has a remainder of 4 NOT A MATCH
Answer C: If N = 55, then K = 4466; 4466/55 has a remainder of 11 MATCH.
Final Answer:
E
Answer: E
Question: Jamshid and Irwin decided to make up their own version of basketball. In addition to being able to score 2-point baskets, they created ways to score 5-, 11-, and 13-point baskets. If at halftime the product of the point values of Irwin’s baskets was 2,420, how many 11-point baskets R did Irwin score?
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: First thing I noticed was that all these numbers are prime...
Prime factorization gives the following
Step 1:2*1210
Step 2:2*11*110
Step 4:2*11*11*10
Step 5:2*11*11*2*5
So he scored R=2 11-point baskets in my opinion.
Answer C
Answer: C
Question: The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is?
Options:
A)5
B)4
C)7
D)9
E)1
Rationale: P(1 + 20/100)n > 2P or (6/5)n > 2
Now, (6/5 * 6/5 * 6/5 * 6/5) > 2. So,
n = 4 years.
Answer: B
Answer: B
Question: A die is thrown. If G is the event 'the number appearing is a multiple of 3' and H be the event
'the number appearing is even' then find whether G and H are independent ?
Options:
A)G and H are not independent events.
B)G and H are independent events.
C)Only G independent event
D)Only H independent event
E)None
Rationale: We know that the sample space is S = {1, 2, 3, 4, 5, 6}
Now G = { 3, 6}, F = { 2, 4, 6} and E n F = {6}
Then P(G) = 2/6 = 1/3
P(H) = 3/6 = 1/2 and P(G ∩ H) = 1/6
P(G n H) = P(G). P (H)
G and H are independent events.
B
Answer: B