divelab/Sys2Bench huggingface dataset:
Question: If a large pizza has a radius that is 50% larger that that of a medium pizza, what is the percent increase in area between a medium and a large pizza?
Options:
A)25%
B)50%
C)75%
D)125%
E)150%
Rationale: Let the radius of medium pizza be r. Then the radius of large pizza is 1.5r.
The area of the medium pizza is pi*r^2
The area of the large pizza is pi*(1.5*r)^2 = 2.25*pi*r^2, an increase of 125%.
The answer is D.
Answer: D
Question: Raju age before 5 years will be 2 times his age 5 years back, What is the present age of Raju
Options:
A)9 years
B)8 years
C)5 years
D)6 years
E)7 years
Rationale: Explanation:
Clearly,
x-5 = 2(x-5)
=> x = 5
Option C
Answer: C
Question: If integers c and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. cb + b^2
II. (c + b)^2
III. c + b
Options:
A)I only
B)II only
C)III only
D)I and II only
E)I, II, and III
Rationale: Factors of 30 are: 1, 2, 3, 5, 6, 10, 15, and 30.
I. cb + b^2 --> if c=1 and b=2 then cb + b^2=6, which is a factor of 30. OK;
II. c + b)^2 --> (c + b)^2 is a perfect square, no perfect square (but 1) is a factor of 30. DISCARD;
III. c + b --> if c=1 and b=2 then c + b=3, which is a factor of 30. OK.
Answer: B.
Answer: B
Question: A train 165 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?
Options:
A)9 sec
B)6 sec
C)7 sec
D)10 sec
E)None
Rationale: Solution
Speed of train relative to man =(60+6) km/hr= 66km/hr
=(66x5/18) m/sec =(55/3) m/sec
∴ Time taken to pass the man = (165x3/55)sec = 9 sec
Answer A
Answer: A
Question: A letter lock consists of five rings each marked with four different letters. The number of distinct unsuccessful attempts to open the lock is at the most ?
Options:
A)3177
B)3124
C)3215
D)168
E)167
Rationale: Since each ring consists of four different letters, the total number of attempts possible with the five rings is
= 5 * 5 * 5 * 5 *5 = 3125. Of these attempts, one of them is a successful attempt.
Maximum number of unsuccessful attempts
= 3125- 1
= 3124.
Answer: C
Answer: C
Question: A soft drink company had 6000 small and 15000 big bottles in storage. If 12% of small 14% of big bottles have been sold, then the total bottles remaining in storage is
Options:
A)15360
B)16010
C)18180
D)14930
E)16075
Rationale: 6000 + 15000 - (0.12*6000 + 0.14*15000) = 18180.
Answer: C.
Answer: C
Question: A dog has 15 bones, then he finds 8 more bones. Now how many bones does he have.
Options:
A)A) 7
B)B) 27
C)C) 23
D)D) 19
E)E) 21
Rationale: 15 + 8 = 23. Answer is C.
Answer: C
Question: Car Dealership X, the total profit from sales increased by 30 percent over the previous years, while the number of cars sold decreased by 30 percent over the previous years. Approximately what was the average percent increase in profit per car over the previous year.
Options:
A)18%
B)30%
C)52%
D)63%
E)85.71%
Rationale: Let Profit be x and cars sold be y
Originally Profit/Car = x/y
Now it is 1.3x / 0.7 y = 13/7 (x/y)
Increase in profit per car = ((6/7) (x/y)) / (x/y) * 100 = 85.71%
Answer = E
Answer: E
Question: The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 46 years, was replaced by a new person. Find the age of the new person?
Options:
A)18
B)56
C)16
D)17
E)14
Rationale: Initial average age of the 10 persons be P.
Age of the new person Q.
Sum of the ages of the initial 10 persons = 10P
New average
= (P-3) 10(P-3)
= 10P - 46 + Q
=> Q = 16
Answer:C
Answer: C
Question: A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score
did he make by running between the wickets
Options:
A)40%
B)50%
C)60%
D)70%
E)None of these
Rationale: Explanation:
Number of runs made by running = 110 - (3 x 4 + 8 x 6)
= 120 - (60)
= 60
Now, we need to calculate 60 is what percent of 120.
=> 60/120 * 100 = 50 %
Answer: Option B
Answer: B
Question: In a race of 150 m, A gives B a start of 20 m. What distance will be covered by B ?
Options:
A)100 m
B)130 m
C)170 m
D)160 m
E)180 m
Rationale: Required distance = (150 - 20) m = 130 m
Answer :B
Answer: B
Question: A train 285 m long, running with a speed of 54 km / hr will pass a tree in
Options:
A)19 sec
B)15 sec
C)16 sec
D)20 sec
E)None
Rationale: Sol.
Speed = (54 x 5/18) m/sec.
= 15 m / sec.
Time taken = (285 x 1/15) sec = 19 sec
Answer A
Answer: A
Question: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 6 years ago?
Options:
A)8
B)10
C)12
D)14
E)16
Rationale: Let's say
Age of Richard is "R"
Age of David is "D"
Age of Scott is "S"
Now
Richard is 6 years older than David,
i.e. R = D +6
David is 8 years older than Scott
i.e. D = S +8
If in 8 years, Richard will be twice as old as Scott
i.e. R+8 = 2x(S+8)
i.e. R+8 = 2S + 16
i.e. R = 2S+8
But R = D+6 = (S+8)+6 = S+14
therefore, 2S + 8 = S +14
i.e. S = 6
i.e. R = 20
i.e. D = 14
Now,
how old was David 6 years ago?
i.e. D-6 = 14-6 = 8 years
ANSWER:A
Answer: A
Question: A cricketer scored 132 runs which included 12 boundaries and 2 sixes. What percent of his total score did he make by running between the wickets.
Options:
A)46.2%
B)54.54 %
C)63%
D)70%
E)None of these
Rationale: Explanation :
Number of runs made by running = 132 - (12 x 4 + 2 x 6)
= 132 - (60)
= 72
Now, we need to calculate 72 is what percent of 132.
=> 72/132 * 100 = 54.54 %
Answer : B
Answer: B
Question: the ratio of type of pen and type of notebook is 5:4.and in 80 ways one can start writing.tell me the no. of pen and no. of notebook.
Options:
A)6,12
B)10,6
C)10,8
D)8,4
E)6,8
Rationale: let the ratio constant be x.
no. of pen=5x,no. of notebook =4x.
total no. of ways of start writing=5x*4x=20(square of x)=80
x=âˆš4=2
pen=10,notebook=8
answer C
Answer: C
Question: A train 150 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
Options:
A)5 sec
B)9 sec
C)12 sec
D)18 sec
E)15 sec
Rationale: Answer : B.
Speed of the train relative to man = (68 - 8) kmph
= (60* 5/18) m/sec = (50/3)m/sec
Time taken by the train to cross the man
= Time taken by It to cover 150 m at 50/3 m / sec = 150 *3/ 50 sec = 9sec
Answer: B
Question: The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 13 years and that of the other 9 students is 16 years, The age of the 15th student is
Options:
A)11
B)16
C)13
D)14
E)15
Rationale: Explanation:
Age of the 15th student = [15 * 15 - (13 * 5 + 16 * 9)] = 16 years. Answer: B
Answer: B
Question: What is the average of the first 10 multiples of 11?
Options:
A)55.5
B)61.5
C)53.5
D)78.5
E)60.5
Rationale: (11 + 22 + ... + 110)/10
=11(1 + 2 + ... + 10)/10
=11(10)(11)/(10*2)
=121/2
=60.5
Option E
Answer: E
Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 110 miles per hour, while the slower train travels at 100 miles per hour. At 1 o’clock the faster train is 40 miles behind the slower one. How far apart are the two trains at 7 o'clock?
Options:
A)20 miles
B)80 miles
C)90 miles
D)120 miles
E)400 miles
Rationale: Answer = A. 20 miles
Relational speed = 110 - 100 = 10 miles per hour
In 6 hours, difference = 10 * 6 = 60 miles
Fast train trailing 40 miles, so effective difference = 60 - 40 = 20 miles
Answer: A
Question: A man can do a piece of work in 5days, but with the help of his son, he can finish it in 3days. In what time can the son do it alone?
Options:
A)5
B)5 1/2
C)7 1/2
D)6
E)9 1/2
Rationale: Son's 1day work = 1/3 - 1/5 = 2/15
Son alone can do the work in 15/2days = 7 1/2 days
Answer is C
Answer: C
Question: The Natural Woman, a women's health food store, offers its own blends of trail mix. If the store uses 3 different ingredients, how many bins will it need to hold every possible blend, assuming that each blend must have at least two ingredients? (Also assume that each bin can hold one and only one blend.)
Options:
A) 1
B) 4
C) 7
D) 11
E) 10
Rationale: We're told that there are 3 ingredients (we'll call them A, B, C ); we're told that each 'mix' must include AT LEAST 2 ingredients...
2 ingredient blends:
AB
AC
BC
3 ingredient blends:
ABC
Total blends = 3+1= 4
B
Answer: B
Question: The largest natural number which exactly divides the product of any four consecutive natural numbers is:
Options:
A)6
B)12
C)24
D)120
E)160
Rationale: Required number= 1*2*3*4=24
Answer: C
Answer: C
Question: If 7 is 10 percent of 50 percent of a certain number, what is the number?
Options:
A)150
B)217
C)100
D)90
E)140
Rationale: Using elimination method to pick the correct option it will be discovered that option E i.e 140 is the correct option because 50% of 140 is 70 and 10% of 70 is 7.
ANSWER:E
Answer: E
Question: A man spends Rs. 1500 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 5200 a year. What is his average monthly income?
Options:
A)2075
B)2100
C)2200
D)2300
E)2400
Rationale: Explanation:
Total expenditure for the first 3 months = 3 Ã— 1500 = 4500
Total expenditure for 4 months = 4 Ã— 1550 = 6200
Total expenditure for 5 months = 5 Ã— 1800 = 9000
Total expenditure and saving (which is income for one year)
= 4500 + 6200 + 9000 + 5200 = Rs. 24900
So, Average monthly income = 24900/12 = Rs. 2075
Answer A
Answer: A
Question: A thief runs away from A with a speed of 20 km/hr. A police from a station 60 km away started chasing him after 1 hr. with a speed of 40 km/hr. Time taken by the police to catch the thief is :
Options:
A)4 hrs
B)4.5 hrs
C)5.4 hrs
D)6 hrs.
E)None of these
Rationale: Explanation :
Solution: Distance traveled by the thief in 1 hr. = 20 km.
Total distance of them after 1 hr = (60 + 20) km = 80 km.
Their relative speed = (40 - 20) = 20 km/hr.
Time taken to catch the thief = 80/20 = 4 hrs.
Answer : A
Answer: A
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Options:
A)3630
B)3631
C)3639
D)3637
E)3633
Rationale: 6300:4200:10500
3:2:5
3/10 * 12100 = 3630
Answer:A
Answer: A
Question: 15 times a number gives 150. The number is
Options:
A)11
B)15
C)13
D)14
E)Cannot be determined
Rationale: Explanation:
Let the number be 'N'
15×N=150⇒N=10
Correct Option: B
Answer: B
Question: There are five thieves, each loot a bakery one after the other such that the first one takes 1/2 of the total no. of the breads plus 1/2 of a bread. Similarly 2nd, 3rd,4th and 5fth also did the same. After the fifth one no. of breads remained are 3. Initially how many breads were there?
Options:
A)124
B)125
C)126
D)127
E)128
Rationale: Let the Number of Breads Initial be x
You Should Go in Reverse Order as left Bread is 3
i.e x=?
After 1st person ate A=x-(x/2)-(1/2)
i.e A=(2x-x)/2-(1/2)
i.e A=(x/2)-(1/2)
i.e A=(2x-2)/4
i.e A=(x-1)/2
like wise ----After 2nd person ate B=(A-1)/2
like wise ----After 3rd person ate C=(B-1)/2
like wise ----After 4th person ate D=(C-1)/2
like wise ----After 5th person ate E=(D-1)/2
Now as after 5th person ate the Value of remaining Bread is ---3
therefore the value of E=3;
Now go Reverse from botom to top to get the value of X after calcuating
Value of D=7
Value of C=15
Value of B=31
Value of A=63
Value of X=127
SO the Final answer is 127 breads were there
ANSWER:D
Answer: D
Question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
A)45%
B)47%
C)57%
D)48%
E)50%
Rationale: Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57%
C
Answer: C
Question: In a joint business, the capital of A, B and C were Rs. 45000, Rs. 30000 and Rs. 22500 respectively. A withdrew half of his capital after 4 months. After 9 months of this withdrawal, there was a total profit of Rs. 28400. Find the A share of profit?
Options:
A)10600
B)10400
C)10200
D)12200
E)14200
Rationale: Given A=45000 B=30000 C=22500
A:B:C= 450:300:225
As A withdrew its half of capital after 4 months,it can withdraw 22500 rupees
But before 4 months, it is 45000 only and the profit is calculated after withdrwal it is almost 9+4=13 months.For that 9 months, the capital for A is half of its original capital,
So A= 450*4+ 225*9= 1800+2025= 3825
Similarly, B= 300*13=3900
Similarly,C= 225*13= 2925
Therefore, ratio of A:B:C= 3825: 3900 : 2925= 51:52:39
A's share=51/142(28400)=10200
ANSWER:C
Answer: C
Question: A train 125 m long passes a man, running at 11 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Options:
A)37 km/hr
B)50 km/hr
C)56 km/hr
D)26 km/hr
E)87 km/hr
Rationale: Speed of the train relative to man = 125/10 = 25/2 m/sec.
= 25/2 * 18/5 = 45 km/hr
Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.
x - 11 = 45 => x = 56 km/hr.
Answer:C
Answer: C
Question: A sum of money at simple interest amounts to Rs. 825 in 3 years and to Rs. 854 in 4 years. The sum is?
Options:
A)Rs. 738
B)Rs. 638
C)Rs. 650
D)Rs. 730
E)Rs. 735
Rationale: S.I. for 1 year = (854 - 825) = Rs. 29
S.I. for 3 years = 29 * 3 = Rs. 87
Principal = (825 - 87) = Rs. 738.
ANSWER:A
Answer: A
Question: Sachin is younger than Rahul by 6 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?
Options:
A)16
B)18
C)28
D)30
E)34
Rationale: Let Rahul's age be x years.
Then, Sachin's age = (x - 6) years.
(x - 6)/x	=	7/9
9x - 54 = 7x
2x = 54
x = 27
Hence, Sachin's age =(x - 7) = 34 years.
Ans-E
Answer: E
Question: A vessel was filled with 10 ounces of liquid, and 0.008 ounce of the liquid evaporated each day during a 50-day period. What % of the original amount of liquid evaporated during this period?
Options:
A)0.004%
B)4%
C)5%
D)60%
E)40%
Rationale: Total amount of water evaporated each day during a 50-day period = .008 * 50
=.008 * 100/2
= .8/2
= .4
percent of the original amount of water evaporated during this period = (.4/10) * 100%
= 4 %
Answer B
Answer: B
Question: At 1:00 pm, a truck left city P and headed toward City Q at a constant speed of 36 km/h. One hour later, a car left City Q and headed toward City P along the same road at a constant speed of 48 km/h. If the distance between City P and City Q is 330 km, at what time will the truck and the car meet each other?
Options:
A)4:30
B)4:45
C)5:00
D)5:15
E)5:30
Rationale: At 2:00 pm, the truck and the car are 294 km apart.
The truck and the car complete a distance of 84 km each hour.
The time it takes to meet is 294/84 = 3.5 hours.
They will meet at 5:30 pm.
The answer is E.
Answer: E
Question: If SAVOURY is coded as OVUARSY then how will RADIATE be coded?
Options:
A)AIDARET
B)IDARATE
C)ARIADTE
D)IDAATRE
E)None of these
Rationale: Comparing the positions of letters S,A,V,O,U,R,Y in SAVOURY and OVUARSY :-
letters at 1,2,3,4,5,6,7 position in SAVOURY have their sequence changed as 4352617 in OVUARSY(4th letter O comes at 1st position, 3rd at 2nd,..)
Similarly, juxtapositioning the letters of RADIATE, i.e. keeping 4th letter(I) at 1st position, 3rd (D) at 2nd position,... and so on..we get
IDAATRE
ANSWER:D
Answer: D
Question: Mrudul invested an amount of Rs.29500/- in order to start a business. Shalaka joined her 4 months later by investing an amount of Rs.33500/-. If the business earned a profit of Rs.120575/- at the end of two years, what was Mrudul’s share of the profit?
Options:
A)Rs.60725/-
B)Rs.61950/-
C)Rs.59250/-
D)Rs.58625/-
E)None of these
Rationale: Explanation:
Ratio of Mrudul’s profit and Shalaka’s profit = 29500x24/33500x20 = 354 : 335
:. Mrudul’s share out of total profit = 120575x354/689 = Rs.61950
Answer: Option B
Answer: B
Question: A can do a piece of work in 8 days and B alone can do it in 12 days. How much time will both take to finish the work ?
Options:
A)A)4.8
B)B)6.333
C)C)7.333
D)D)8.5
E)E)9
Rationale: This question can be solved by different methods. We need to conserve time in exams so solving this problem using equations is the good idea.
Time taken to finish the job = XY / (X + Y)
= 8 x 12 / (8 + 12)
= 96 / 20
= 4.8 days
Answer: A
Answer: A
Question: A no. when divided successively by 4 and 5 leaves remainders 1&4 respectively. What willbe the respective remainders if it is successively divided by 5 and 4?
Options:
A)1, 2
B)2, 3
C)2, 5
D)2, 7
E)3, 5
Rationale: Let
p
p be the number
Suppose,
p
÷
4
=
q
p÷4=q, remainder = 1
q
÷
5
=
1
q÷5=1, remainder = 4. (Note that we assumed the quotient as 1 for the ease of calculations.)
Hence,
q
=
1
×
5
+
4
=
9
q=1×5+4=9
p
=
4
q
+
1
=
4
×
9
+
1
=
37
p=4q+1=4×9+1=37
Now divide 37 successively by 5 and 4 respectively.
37÷5=7
37÷5=7, remainder = 2
7÷4=1
7÷4=1, remainder = 3
B
Answer: B
Question: Murthy secured 70% of the votes in an election and was elected by a majority of 168 votes. All of the votes polled were valid. Find out number of votes polled if there were only two contestants ?
Options:
A)410
B)420
C)430
D)440
E)450
Rationale: Let the No. of votes polled is x
Then, Murthy got=(7/10)x
and the loser got=(3/10)x
As per the condition
(7/10)x-(3/10)x=168
Solving, we get x = 420
Thus, the no. of votes polled =420
ANSWER:B
Answer: B
Question: The distance between 2 cities A and B is 330km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time do they meet?
Options:
A)9a.m.
B)10a.m.
C)10.30a.m.
D)11a.m.
E)1p.m.
Rationale: Suppose they meet x hrs after 8 a.m.
Distance moved by first in x hrs + Distance moved by second in (x-1)hrs = 330
60x + 75 (x-1) = 330
x = 3
They meet at 8+3 = 11 a.m.
Answer is D
Answer: D
Question: Two identical circles intersect such that their centers and the points at which they intersect form a square of side 0.5 cm. What is the area of the region where the two circles intersect?
Options:
A)2pi - 4
B)pi -2
C)pi/2 - 1
D)pi/4 - 0.5
E)pi/8 - 0.25
Rationale: Drawing a diagram, we see that the radius of the circle equals the side of the square.
The area of intersection is: pi*r^2/4 - (r^2-pi*r^2/4) = pi*r^2/2 - r^2 = pi/8 - 0.25
The answer is E.
Answer: E
Question: Three partners A,B,C starts a business. Twice A's capital is equal to thrice B's capital and B's capital is four times C's capital. Out of a total profit of Rs.17000 at the end of the year, B's share is
Options:
A)Rs.4000
B)Rs.6120
C)Rs.7500
D)Rs.6600
E)None
Rationale: Solution
Let C = x.
Then, B = 4x and 2A = 3x4x = 12x or A = 6x.
âˆ´ A : B : C = 6x : 4x : x	= 6 : 4 : 1.
So B's capital	= Rs(17000 x 4 / 11)
= Rs.6120.
Answer B
Answer: B
Question: A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?
Options:
A)6 days
B)9 days
C)18 days
D)24 days
E)4 days
Rationale: Explanation:
3/12 + (3 + x)/16 = 1
x = 9 days
Answer B
Answer: B
Question: A car covers a distance of 424 km in 6 ½ hours. Find its speed?
Options:
A)65.9 kmph
B)75.2 kmph
C)65.2 kmph
D)66.2 kmph
E)55.2 kmph
Rationale: 424/(13/2) = 424*2/13
=65.2 kmph
ANSWER:C
Answer: C
Question: The distance between two towns is 380 km. At the same moment, a passenger car and a truck start moving towards each other from different towns. They meet 4 hours later. If the car drives 5 km/hr faster than the truck, what is the speed of the car?
Options:
A)30km/h
B)40km/h
C)50km/h
D)60km/h
E)80km/h
Rationale: The main idea used in this kind of problems is that the distance equals speed multiplied by time S=V⋅t
Car	x + 5 (V (km/hr)) 4 t (hr) 4(x +5) S (km)
Truck X V (km/hr) 4 t (hr) 4x S (km)
4(x+5)+4x=380
4x+4x=380−20
8x=360
x=3608
x=45
Therefore the truck's speed is 45 km/hr, and the car's speed is 45+5=50 km/hr
correct answer is C)50km/hr
Answer: C
Question: If m = 3^n, what is the greatest value of n for which m is a factor of 22!
Options:
A)8
B)10
C)9
D)14
E)16
Rationale: Solution-
Consider multiples of 25!=> 3,6,9,12,15,18,21
Count no. of 3 in each multiple.
3=3x1->1
6=3x2->1
9=3x3->2
12=3x4->1
15=3x5->1
18=3x3x2->2
21=3x7->1
---- count 3's =9 so answer is 9
Answer : C
Answer: C
Question: Each writer for the local newspaper is paid as follows: a dollars for each of the first y stories each month, and a + b dollars for each story thereafter, where a > b. How many more dollars will a writer who submits y+ a stories in a month earn than a writer who submits y+ b stories?
Options:
A)(a – b)( a + b + y)
B)a – b
C)a^2 – b^2
D)y( a – b)
E)ay + by – ay
Rationale: total earned for y+a stories =a + a(a+b)
total earned for y+b stories =a+ b(a+b)
difference = a+a(a+b) -a -b(a+b)
=(a+b)(a-b) =a^2-b^2
answer is C
Answer: C
Question: If it would take one machine 20 minutes to fill a large production order and another machine 30 minutes to fill the same order, how many minutes would it take both machines working together, at their respective rates, to fill the order?
Options:
A)10min
B)12min
C)15min
D)20min
E)18min
Rationale: This question can be solved using the Work Formula:
Work = (A)(B)/(A+B) where A and B are the individual completion rates of the respective entities (for the same job).
We're told that one machine takes 10 minutes to complete a job and another machine takes 12 minutes to complete the same job. Plugging in those values gets us...
(20)(30)/(20+30) = 600/50 = 12 minutes
Answer is B
Answer: B
Question: There are five boxes in cargo hold. The weight of the first box is 200 kg and the weight of the second box is 20% higher than the weight of the third box, whose weight is 25% higher than the first box's weight. The fourth box at 350 kg is 30% lighter than the fifth box. Find the difference in the average weight of the four heaviest boxes and the four lightest boxes.
Options:
A)51.5 kg
B)75 kg
C)37.5 kg
D)112.5 kg
E)None of these
Rationale: Solution: The weight of boxes is;
1st box = 200 kg;
3rd box = 250 kg;
2nd box = 300kg;
4th box = 350 kg;
5th box = 500 kg.
Hence, difference between heavier 4 and lighter 4 is 300.
Hence, difference in average is 75.
Answer: Option B
Answer: B
Question: Simple interest on a sum at 4% per annum for 2 years is Rs.80. The C.I. on the same sum for the same period is?
Options:
A)81.6
B)81.9
C)81.3
D)81.1
E)81.4
Rationale: SI = 40 + 40
CI = 40 + 40 + 1.6 = 81.6
Answer:A
Answer: A
Question: Jack have 5200 meats.If exactly 30% of the meats are roast. What Percentage(approximately) of Unroast Meats so that half of the meats are roast?
Options:
A)27
B)26.5
C)27.32
D)29
E)28
Rationale: Number of meats=5200
Currently roast=5200*30/100=1560
Unroast meats=5200-1560=3640
Half of all Meats=2600
The number of meats to be roast to make half of all meats roast =2600-1560=1040
So now the question remains - 1040 is how much percentage of unroast meats (3640)
= 1040*100/3640
=28.57~28
Answer (E)
Answer: E
Question: Ram spends 30% of his salary on house rent, 30% of the rest he spends on his children's education and 24% of the total salary he spends on clothes. After his expenditure, he is left with Rs. 2500. What is Ram's salary?
Options:
A)Rs. 11,494.25
B)Rs. 20,000
C)Rs. 10,000
D)Rs. 15,000
E)None of these
Rationale: Solution: Let Ram's salary be x.
He spends on rent = 30% of x = 30x/100.
He spends on education = 30% from rest of the salary= (30*70x)/(100*100) = 21x/100.
He Spends on clothes = 24% of total salary = 24x/100.
Saving = 2500.
Salary of ram = x.
(30x/100) + (21x/100) + (24x/100) + 2500 = x.
(75x/100) = x-2500.
75x = 100x-250000.
Or, 100x-77x = 250000.
Or, x = 250000/25.
Or, x = 10000.
Ram's salary = Rs. 10000.
Answer: Option C
Answer: C
Question: If s and t are positive integers such that s/t = 64.12, which of the following could be the remainder when s is divided by t ?
Options:
A)2
B)4
C)8
D)20
E)45
Rationale: s/t = 64.12
= 64+12/100
= 64+3/25
i got 3, and in the options the multiple of is 45
Answer - E
Answer: E
Question: Look at this series: 58, 52, 46, 40, 34, ... What number should come next?
Options:
A)26
B)28
C)30
D)32
E)34
Rationale: Explanation: This is a simple subtraction series. Each number is 6 less than the previous number.
Answer: Option B
Answer: B