divelab/Sys2Bench huggingface dataset:
Question: If f(x)=2^x and x is a natural number, what CANNOT be the answer to f(x)?
Options:
A)2
B)3
C)4
D)8
E)16
Rationale: There is no possible way for a 2 raised to a natural number power to be equal to 3, so the answer is B.
Answer: B
Question: A certain stationary store arranges notebooks on display such that each of the seven different colors of notebooks white,yellow, orange, green, red, blue, and purple are consecutive in a repeating pattern. If eight consecutively displayed notebooks are purchased, what is the probability that two of the notebooks are purple?
Options:
A)1/49
B)1/8
C)1/7
D)2/7
E)1/2
Rationale: After white,yellow, orange, green, red, blue, and purple, the next book can be of any given seven colours, therefore we have total seven possibilities, out of which we need purple i.e. 1 therefore prob is 1/7
Answer:C
Answer: C
Question: In the xy-coordinate system, if (m, n) and (m + 5, 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)5/2
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+5 =2 *(n+k)+5.
By 1st equation we have m-2n=5 and by 2nd equation m-2n = 2k ---> 5=2k --->k=5/2.
The answer is, therefore, (D).
Answer: D
Question: A and B together invested Rs. 15,000 in a business. At the end of the year, out of total profit is Rs. 3,000 B's share was Rs. 1000. A's investment was
Options:
A)s. 4,500
B)s. 8,250
C)s. 9,500
D)s. 10,000
E)s. 12,250
Rationale: A+B=15000
total profit=3000
3000-1000=2000
2000;1000=2:1
then 2*15000/3=10000
ANSWER:D
Answer: D
Question: A certain company employs 5 senior officers and 4 junior officers. If a committee is to be created, that is made up of 3 senior officers and 1 junior officer, how many different committee are possible?
Options:
A)8
B)24
C)58
D)40
E)210
Rationale: Number of ways to select 3 senior officers from 5 of them = 5C3 = 10 ways
Next we can determine the number of ways to select 1 junior officer.
number of ways to select 1 junior officer from 4 of them = 4C1 = 4 ways
Thus the number of ways to select 3 senior officers and 1 junior officer is 10 x 4 = 40 ways.
Answer: D
Answer: D
Question: If a positive odd integer N has p positive factors, how many positive factors will 5N have ?
Options:
A)p
B)2p
C)P+1
D)2p+1
E)Cannot be determined
Rationale: I have added some extra text to make this question more GMAT-like:
Let's TEST some values of N
Try N = 3
The factors of 3 are {1, 3}. Here, p =2
So, 2N = (2)(3) = 6
The factors of 6 are {1, 2, 3, 6}. So, we have a total of4
Now check the answer choices:
A) p =2No good. We want an output of4. ELIMINATE
B) 2p = (2)(2) = 4. PERFECT! KEEP B
C) P+1 =2+ 1 = 3 No good. We want an output of4. ELIMINATE
D) 2p+1 = (2)(2) + 1 = 5 No good. We want an output of4. ELIMINATE
E) Cannot be determined. POSSIBLE. KEEP E
Let's TEST another value of N
Try N = 7
The factors of 7 are {1, 7}. Here, p =2
So, 2N = (2)(7) = 14
The factors of 14 are {1, 2, 7, 14}. So, we have a total of4
Now check the REMAINING answer choices:
B) 2p = (2)(2) =4. PERFECT! KEEP B
E) Cannot be determined. POSSIBLE. KEEP E
Let's TEST one more (non-prime) value of N
Try N = 9
The factors of 9 are {1, 3, 9}. Here, p =3
So, 2N = (2)(9) = 18
The factors of 18 are {1, 2, 3, 6, 9}. So, we have a total of6
Now check the REMAINING answer choices:
B) 2p = (2)(3) =6. PERFECT! KEEP B
E) Cannot be determined. POSSIBLE. KEEP E
At this point, it SEEMS LIKELY that the correct answer is D
Answer: D
Question: A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $1032 in total compensation, how many total hours did he work that week?
Options:
A)36
B)40
C)44
D)48
E)54
Rationale: For 40 hrs = 40*16=640
Excess = 1032-640=392
For extra hours =.75(16)=12+16=28
Number of extra hrs =392/28=98/7=14
Total hrs =40+14=54
Answer E 52
Answer: E
Question: In how many seconds will a train 180 meters long pass an oak tree, if the speed of the train is 54 km/hr?
Options:
A)10
B)12
C)14
D)16
E)18
Rationale: speed = 54 * 5/18 = 15 m/s
time = 180/15 = 12 seconds
The answer is B.
Answer: B
Question: A full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet. Oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck's tank is completely filled. If the truck's tank has a radius of 5 feet and a height of 12 feet, how far (in feet) did the oil level drop in the stationary tank?
Options:
A)2.5
B)0.025
C)0.05
D)0.03
E)3
Rationale: The volume of oil pumped to the tank = The volume of oil taken away from stationary cylinder.
pi*25*12 = pi*h*100*100 (h is distance that the oil level dropped)
h = 300/10,000 = 3/100 = 0.03 ft
The answer is D.
Answer: D
Question: If four coins are tossed, the probability of getting two heads and two tails is ?
Options:
A)3/8
B)3/5
C)3/9
D)3/1
E)3/2
Rationale: Since four coins are tossed, sample space = 24
Getting two heads and two tails can happen in six ways.
n(E) = six ways
p(E) = 6/24 = 3/8
Answer: A
Answer: A
Question: A mathematics teacher tabulated the marks secured by 35 students of 8th class. The average of their marks was 72. If the marks secured by Reema was written as 36 instead of 66 then find the correct average marks up to two decimal places.
Options:
A)72.85
B)74.31
C)72.43
D)73.43
E)Cannot be determined
Rationale: Total marks = 35 x 72 =2520
Corrected total marks = 2520 - 36 + 66 =2550
Correct Average = 2550/35 = 72.85
Answer : A
Answer: A
Question: A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 10% microphotonics; 24% home electronics; 15% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
Options:
A)8°
B)10°
C)18°
D)36°
E)50°
Rationale: Here all percentage when summed we need to get 100% . As per data 10+24+15+29+8 = 86%.
So remaining 14% is the balance for the astrophysics.
Since this is a circle all percentage must be equal to 360 degrees.
100% ---- 360 degrees
Then 14% will be 50 degrees..
IMO option E.
Answer: E
Question: Find the area of a parallelogram with base 24 cm and height 16 cm?
Options:
A)287 cm2
B)384 cm2
C)187 cm2
D)167 cm2
E)158 cm2
Rationale: Area of a parallelogram
= base * height
= 24 * 16
= 384 cm2
Answer: B
Answer: B
Question: The cost of type 1 rice is Rs 15 per Kg and type 2 rice
is Rs 20 per Kg. If both type1 and type 2 are mixed in the
ratio of 2:3,then the price per Kg of the mixed variety
of rice is?
Options:
A)15
B)18
C)20
D)25
E)30
Rationale: Let the price of the mixed variety be Rs x per Kg.
Cost of 1 Kg of type 1 rice Rs 15 Cost of 1 Kg of type 2 rice Rs 20
Mean Price Rs x
20-x x-15
(20-x) /( x-15) = 2/3
=> 60-3x = 2x-30
5x = 90=>x=18.
ANSWER B
Answer: B
Question: The total age of A and B is 12 years more than the total age of B and C.C is how many years younger than A ?
Options:
A)12
B)24
C)C is elder than A
D)Data inadequate
E)None of these
Rationale: Solution
(A+B)-(B + C)= 12 ⇔ A-C =12. Answer A
Answer: A
Question: At present, the ratio between the ages of Arun and Deepak is 4:5. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
Options:
A)17 years
B)15 years
C)18 years
D)12 years
E)25 years
Rationale: Let the present ages of Arun and Deepak be 4x and 5x years respectively.
Then, 4x + 6 = 26 => x
= 5
Deepak's age
= 5x
= 25 years.
Answer:E
Answer: E
Question: If a sample of data has mean of 20 and SD of 3, which of the following values is more than 2.3 SDs from the mean?
Options:
A)16
B)13
C)15
D)18
E)19
Rationale: 2.3 SD's mean is equal to: +/- 2.3*3 = +/- 6.9
ie. 13.1 to 26.9
Answer is: B
Answer: B
Question: To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of bucket is reduced to two-fifth of its present ?
Options:
A)52.5
B)62.5
C)72.5
D)82.5
E)81.5
Rationale: Explanation:
Let the capacity of 1 bucket = x.
Then, capacity of tank = 25x.
New capacity of bucket = 2/5 x.
Required no of buckets = 25x / (2x /5) = 62.5
ANSWER IS B
Answer: B
Question: A man can row a boat at 15 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Options:
A)30/16 hours
B)80/13 hours
C)30/73 hours
D)30/13 hours
E)20/7 hours
Rationale: Speed downstream = 15 + 6 = 21 kmph.
Time required to cover 60 km downstream
= d/s = 60/21
= 20/7 hours.
Answer:E
Answer: E
Question: Can you find the missing number in the sequence below
14 -20 34 -54 ? -144
Options:
A)88
B)77
C)66
D)55
E)44
Rationale: Solution:
88
Explanation:
14 -20 34 -54 ? -144
The number is difference between right number and left number.
i.e
example
14-(-20) = 34
-20-(34) = -54
34-(-54) = 88 answer
-54-(88) = -143
Answer A
Answer: A
Question: A man can row downstream at 18 kmph and upstream at 8 kmph. Find the speed of the man in still water and the speed of stream respectively?
Options:
A)3
B)5
C)6
D)4
E)9
Rationale: Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.
Given x + y = 18 --- (1)
and x - y = 8 --- (2)
From (1) & (2) 2x = 26 => x = 13, y = 5. Answer: B
Answer: B
Question: In February Wilson’s earnings were 40 percent of his family’s total income. In March Wilson earned 25 percent less than in February. If the rest of his family’s income was the same in both months, then, in March, Wilson’s earnings were approximately what percent Z of his family’s total income?
Options:
A) 15%
B) 17%
C) 24%
D) 30%
E) 33%
Rationale: Lets suppose the Total Family income in Feb = 100x
Wilson's earning in Feb = 40% of 100x = 40x
Earnings of remaining family in Feb = 100x - 40x = 60x
Wilson's earning in March = 75% of Wilson's Feb earnings = 75% of 40x = 30x
Earnings of remaining family in March = Earnings of remaining family in Feb = 60x
Thus Wilson's earning as % of Total family income in March Z= 30x/ (30+60)x = 30x/90x = 33.33%
Thus Answer is E
Answer: E
Question: In filling a fish tank with water that is 50 m * 10 m * 1 m the volumes of water filled will be?
Options:
A)500 cu.m
B)5000 cu.m
C)50000 cu.m
D)3000 cu.m
E)4000 cu.m
Rationale: 50 * 10 * 1 = 500
ANSWER:A
Answer: A
Question: If a1 = 1 and an+1= 2an + 5, n = 1, 2 .. , then a10 is equal to ?
Options:
A)a. 6*2^9 -5
B)b. 5*2^99+6
C)c. 6*2^99+5
D)d. 6*2^99-5
E)e. 6*2^99-6
Rationale: Here is solution:
an+1=2an+5............(1)
lets ADD 5 to both sides....
so (an+1) + 5= 2 (an+5)....................taking 2 as common factor
now a1=1. so for n=1, an+5=6.......
putting n=1. we get both sides as,
a2 + 5= 2 * 6 ..............as ( an+5=6 .......(for n=1)..)
a2= 2 *6 - 5
a2= 2 * 2 *3 - 5
a2= 2^2 *3 - 5................. so with same progression
a10= 2^10 * 3 - 5
a10=2* 2^9 * 3 - 5
a10= 6 * 2^9 - 5
A
Answer: A
Question: 5 identical snow plows can clear an iced parking lot in 18 hours. How long would it take 6 such snow plows to clear the same parking lot?
Options:
A)1 hour, 15 minutes
B)2 hours, 30 minutes
C)3 hours
D)7 hours, 30 minutes
E)15 hourss
Rationale: 6/5 as many plows will take 5/6 as many hours --> 18*5/6=15 hours.
Answer: E.
Answer: E
Question: if v is a positive integer greater than 8, which of the following must be divisible by 4?
Options:
A) v(v-1)(v+2)(v+3)
B) v(v-1)(v+3)(v+4)
C) v(v-3)(v+2)(v+4)
D) v(v-3)(v+2)(v+3)
E) v(v+1)(v+3)(v+4)
Rationale: D.
For any integer v, D is the only answer choice which will always be divisible by 4.
A product of 4 consecutive integers will always be divisible by 4. Since, none of the answer choices are a product of 4 consecutive integers, we have to ensure at least one of the integers is always a multiple of 4. The best way to do that is to ensure the answer choice isv* [(v-1)OR(v+3)] * [(v-2)OR(v+2)] * [(v-3)OR(v+1)]. (ANSWER D)
Answer: D
Question: If a bank account has $1000 with an interest rate of 5% compounded annually, how much money will the account have after 10 years?
Options:
A)1629
B)1723
C)1834
D)1912
E)2012
Rationale: 1000*1.05^10=1000*1.629=1629
The answer is A.
Answer: A
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 16 cm
Options:
A)304 cm2
B)179 cm2
C)285 cm2
D)167 cm2
E)197 cm2
Rationale: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)
= 1/2 (20 + 18) * (16)
= 304 cm2
Answer: A
Answer: A
Question: A man engaged a servant on the condition that he would pay him Rs.800 and a uniform after one year service. He served only for 9 months and received uniform and Rs.400, find the price of the uniform?
Options:
A)s.800
B)s.85
C)s.90
D)s.100
E)s.120
Rationale: 9/12 = 3/4 * 800 = 600
400
-------------
200
1/4 -------- 200
1 --------- ? => Rs.800
ANSWER:A
Answer: A
Question: Two identical cubes if one of them is painted pink on its 4 sides and blue on the remaining two side then how many faces painted pink to other cube so that probability of getting the same color is 1/3 when we roll both the cubes.
Options:
A)3
B)0
C)8
D)7
E)1
Rationale: Explanation:
First cube has got 4 pink sides and 2 black sides.
Let the other cube got x sides pink and (6 - x) sides black.
Now when we roll both the dice, we can either pink on both cubes or black on both cubes.
Probability = 46×x6+26×6−x6=1346×x6+26×6−x6=13
=4x+12−2x36=13=4x+12−2x36=13
⇒x=0⇒x=0
So second cube should not have any pink faces at all.
Answer:B
Answer: B
Question: The ratio of two cow A,B milk is 5:3.3kg milk of cow A get distributed and 1kg milk of cow B get distributed.now,8kg milk of cow B left.Now what is the ratio of cow A and B left milk?
Options:
A)3:2
B)4:3
C)5:4
D)6:5
E)5:3
Rationale: left milk of cow B=3x-1=8,3x=9,x=3.
left milk of cow A=15-3=12
12/8=3:2.
answer A
Answer: A
Question: The number which exceeds 16% of it by 105 is :
Options:
A)125
B)52
C)58
D)60
E)62
Rationale: Solution
Solution
Let the number be x.
x-16% of x =105
x-16/100x =105
x-4/25x=105
21/25x=105
x=(105x25/21)=125 Answer A
Answer: A
Question: A student divided a number by 2/3 when he required to multiply by 3/2. Calculate the percentage of error in his result.
Options:
A)0
B)16
C)18
D)1
E)120
Rationale: suppose the no is 100
first condition if it mistakenly divided the no by 2/3 ==>100/(2/3)==>150
second condition the no should multiply by 3/2 ==> 100*3/2 ==> 150
hence output should be 150 and mistakenly the output is 150
so pecentage error is zero
ANSWER:A
Answer: A
Question: A popular website requires users to create a password consisting of the digits {1,2,3,4,5,6}. If no digit may be repeated and each password must be at least 5 digits long, how many passwords are possible?
Options:
A)5! + 6!
B)2 x 6!
C)5! x 6!
D)11!
E)12!
Rationale: If we choose the 6 different digits then they can be arranged in 6! ways.
The number of possible 5-digit passwords is 6*5*4*3*2 = 6!
The total number of passwords is 6! + 6! = 2*6!
The answer is B.
Answer: B
Question: If x = (y)(y + 1) and y is a prime number less than 7, which of the following could not be the product of 2 consecutive integers?
Options:
A)a) 5x
B)b) 11x
C)c) 13x
D)d) 30x
E)e) 57x
Rationale: Given y is a prime number less than 7
possible values of y are 2 3 5
given, x=y*(y+1)
if y = 2 x=2*3=6
if y = 3 x=3*4=12
if y = 5 x=5*6=30
so possible values of x are 6,12,30
So from options
A. 5x can be (5*6)
B. 11x can be (11*12)
C. 13x can be (13*12)
D. 30x can be (30*31)
E. 57x cannot be
So answer option E
Answer: E
Question: The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
Options:
A)9
B)10
C)11
D)12
E)13
Rationale: Explanation:
3x + 5x + 7x = 45
x =3
3x = 9
A)
Answer: A
Question: Joe drives 240 miles at 60 miles per hour, and then he drives the next 120 miles at 40 miles per hour. What is his average speed for the entire trip in miles per hour?
Options:
A)42
B)51
C)50
D)54
E)56
Rationale: t1= 240/60=4 hours
t2=120/40=3 hours
T=t1+t2=7 hours
Avg speed = Total Distance/T
= 360/7 = 51mph=B
Answer: B
Question: In a shop 50% of the articles are sold at a profit of 20% and the remaining at a loss of 30%.what is the overall profit/loss?
Options:
A)15% profit
B)8% loss
C)no profit, no loss
D)20% profit
E)5% loss
Rationale: 50*1.2+50*0.7/100=0.95
ANSWER:E
Answer: E
Question: Each week, Harry is paid x dollars per hour for the first 30 hours and 2x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?
Options:
A)35
B)36
C)37
D)38
E)39
Rationale: James worked for 41 hours hence he earned 40*x+1*2x=42x dollars;
We know that Harry also earned the same 42x dollars, out of which he earned 30x dollars for thefirst 30 hoursplus 12x additional dollars. Since for each additional hour he gets 2x dollars then he worked for 12x/2x=6 additional hours, so Harry worked for total of 30+6=36 hours.
Answer: B.
Answer: B
Question: A certain sum of money doubles itself in 10 years in how much many years will it trible itself at the same rate?
Options:
A)20
B)88
C)77
D)66
E)21
Rationale: 100 ---- 100 --- 10
100 --- 10
--------------------
300 ---- 20 years
Answer: A
Answer: A
Question: How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5 % per annum of simple interest ?
Options:
A)3.5 years
B)4 years
C)4.5 years
D)5 years
E)None
Rationale: Solution
Time = (100x81/450x45)years = 4 years.
Answer B
Answer: B
Question: Three partners A,B and C shared the profit in a software business in the ratio 5:7:8. They had partnered for 14 months, 8 months and 7 months respectively. Find the ratio of their investments?
Options:
A)19:49:64
B)20:49:64
C)20:49:65
D)20:50:64
E)None of these
Rationale: Explanation:
Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively
Then, 14x : 8y : 7z = 5 : 7 : 8
Now, 14x/8x = 5/7
=> y = (49/20)x
14x/7z = 5/8
=> z = (16/5)x
=>x:y:z = x:(49/20)x:(16/5)x
= 20:49:64
Option B
Answer: B
Question: A basketball team scored x points per game in its first n games of the season, and in all the following games it scored an average (arithmetic mean) of y points per game. What was the average number of points per game in its first n + 2 games?
Options:
A)x + 3y/(n + 3)
B)x + y/(n + 3)
C)(x + 3y)/(n + 3)
D)(nx + 3y)/(n + 2)
E)(3x + ny)/(n + 3)
Rationale: Total points in first n games = nx
Total marks in next 3 games is 3y
So, Average marks in n + 2 games = (nx+3y)/(n+2)
Hence, correct answer will be (D)
Answer: D
Question: Indu gave Bindu Rs.5000 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Options:
A)8
B)2
C)9
D)5
E)1
Rationale: 5000
= D(100/4)2
D = 8
Answer: A
Answer: A
Question: The average weight of 25 boys sitting in a class had some value. A new boy added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the boys decreased by 5 kg. Find the average weight of first 25 boys?
Options:
A)150
B)152
C)176
D)180
E)182
Rationale: 25x + 46 = 26(x – 5)
x = 176
C
Answer: C
Question: A baker filled with a measuring cup with 3/5 cup water. He poured 1/2 of the water into the batter, and then spilled 1/8 of the water on the floor. How much water will the baker needed to add what is left in the cup to have 50% more than what he started with?
Options:
A)1/8 cup
B)3/8 cup
C)1/4 cup
D)1/2 cup
E)29/40 cup
Rationale: E
3/5 is the original water in cup .half in batter.So left is 3/10 out which 1/8 is spilled out.So again left with 1/8.
so 50% more than what he started was = 3/5+1/2*(3/5)=9/10
Amount of water needed to add = 9/10 - 1/8=29/40
E
Answer: E
Question: Find the number of bricks, each measuring 24 cm x 12 cm x 8 cm, required to construct a wall 24 m long, 8m high and 60 cm thick, if 10% of the wall is filled with mortar?
Options:
A)35000
B)45000
C)55000
D)65000
E)None of these
Rationale: Explanation:
Volume of the wall = (2400 x 800 x 60) cm3
Volume of bricks = 90% of the volume of the wall
= [(90/100) x 2400 x 800 x 60] cm3
Volume of 1 brick = (24 x 12 x 8) cm3
Number of bricks = [(90/100) x (2400 x 800 x 60) ]/ (24 x 12 x 8) = 45000
Answer: B
Answer: B
Question: Excluding stoppages, the speed of a bus is 84 kmph and including stoppages, it is 70 kmph. For how many minutes does the bus stop per hour?
Options:
A)12 min
B)10 min
C)15 min
D)14 min
E)13 min
Rationale: Due to stoppages, it covers 14 km less.
Time taken to cover 14 km = (14/84 x 60) min = 10 min
Answer : B
Answer: B
Question: When x is multiplied by 3, the result is 18 more than the result of subtracting x from 70. What is the value of x?
Options:
A)-4
B)-2
C)11
D)13
E)22
Rationale: The equation that can be formed is:
3x-18=70-x
or, 4x=88
or, x=22.
E answer.
Answer: E
Question: An express traveled at an average speed of 80 km/hr, stopping for 3 min after every 45 kn. How long did it take to reach its destination 480 km from the starting point?
Options:
A)5 hrs 21 min
B)4 hrs 21 min
C)6 hrs 41 min
D)6 hrs 27 min
E)4 hrs 34 min
Rationale: D
6 hrs 27 min
Time taken to cover 480 km = 480/80 = 6 hrs.
Number of stoppages = 480/45 - 1 = 9
Total time of stoppages = 3 * 9 = 27 min
Hence, total time taken = 6 hrs 27 min.
Answer: D
Question: What would be the compound interest on Rs.7700/- at 15 ¼% per year for 2 years compounded annually
Options:
A)2527.57
B)2257.57
C)2572.57
D)2752.57
E)2725.57
Rationale: Principal = Rs. 7700/-
time = 2 years
rate = 15 ¼%
Amount = P(1+R/100)n
= 7700 × (1 + 61/(4 × 100)2)
= 7700 × [(1 + 61/400)2]
= 7700 × [(461/400)2)]
= 7700 × 461/400 × 461/400
= 7700 × 1.1525 × 1.1525
= 7700 × 1.32825625
= 10227.573125
C.I = 10227.573125 - 7700 = 2527.57/-
Answer is A.
Answer: A
Question: Two letters from the word BARKHINT are selected at random. What is the probability that at least one of the selected letters is a consonant?
Options:
A)30/28
B)40/28
C)25/28
D)27/28
E)32/28
Rationale: There are 6 consonants and 2 vowels in BARKHINT .
probability that at least one of the selected letters is a consonant = 1 - (Probability of both vowels)
Probability of both vowels = 2C2/8C2 = 1/28
So,Answer is 1 - 1/28 = 27/28
Answer : D
Answer: D
Question: James purchased n items from a catalog for $12 each. Postage and handling charges consisted of $5 for the first item and $2 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?
Options:
A)13n + 3
B)13n + 4
C)13n + 2
D)13n + 6
E)13n + 5
Rationale: its A
n items for $12 each
total price $12n
postage and handling of $5 for 1st item and $2 for the rest
total postage and handling = $ [5+ (n-2)]
= $ n+3
total cost
12n+n+3 = 13n+3
Answer: A
Question: A bag contains 26 purple jellybeans, 15 green jellybeans, and 9 yellow jellybeans; these jellybeans are the only items in the bag. If a person picks a jellybean at random out of the bag, what is the probability that the jellybean will be green?
Options:
A)15%
B)20%
C)25%
D)30%
E)35%
Rationale: Probability of green beans = 15 / (26 + 15 + 9) = 3/10 = 30%
Answer is D
Answer: D
Question: If x is a positive integer, then the least value of x for which x! is divisible by 100 is?
Can someone please explain intuitively what the question is asking?
Options:
A)5
B)9
C)10
D)15
E)30
Rationale: In order x! to be divisible by 1,00, it should have at least 2 trailing zeros. A trailing 0 in factorial of a number is produced by 2 and 5 in it: 2*5 = 10. So, we need 10 to be in x! at least in power of 2.
5! = 120 has 1 trailing zeros.
10! will have 2 trailing zeros.
Answer: C.
Answer: C