divelab/Sys2Bench huggingface dataset:
Question: How many 7-digits number are Palindromic numbers? A Palindromic number reads the same forward and backward, example 1234321.
Options:
A)100
B)610
C)729
D)9000
E)1000
Rationale: Take the task of building palindromes and break it intostages.
Stage 1: Select the 7th digit
We can choose 1, 2, 3, 4, 5, 6, 7, 8, or 9
So, we can complete stage 1 in 9ways
Stage 2: Select the 6th digit
We can choose 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9
So, we can complete stage 2 in10ways
Stage 3: Select the 5th digit
We can choose 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9
So, we can complete stage 3 in10ways
Stage 4: Select the 5th digit
We can choose 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9
So, we can complete stage 4 in10ways
IMPORTANT: At this point, the remaining digits are alreadylocked in.
Stage 5: Select the hundreds digit
This digit must be the SAME as the thousands digit (which we already chose in stage 2)
So, we can complete this stage in1way.
Stage 6: Select the tens digit
This digit must be the SAME as the thousands digit (which we already chose in stage 2)
So, we can complete this stage in1way.
Stage 7: Select the units digit
This digit must be the SAME as the ten-thousands digit (which we already chose in stage 1)
So, we can complete this stage in1way.
By theFundamental Counting Principle(FCP), we can complete all 5 stages (and thus build a 7-digit palindrome) in(9)(10)(10)(10)(1)(1)(1)ways (= 9000 ways)
Answer: D
Answer: D
Question: P, Q, R enter into partnership and their capitals are in the proportion 1/3 : 1/4 : 1/5. P withdraws half his capital at the end od 4 months. Out of total annual profit of Rs. 8470/-, P’s share is:
Options:
A)Rs. 2520/-
B)Rs. 2800/-
C)Rs. 3150/-
D)Rs. 4120/-
E)None of these
Rationale: Explanation:
Ratio of capitals in the beginning = 1/3 : 1/4 : 1/5 = 20 : 15 :12
Suppose A, B, C invest Rs 20x, Rs 15x and Rs 12x Respectively
A : B : C = (20x * 4 + 10x * 8) : (15x * 12) : (12x * 12)
= 160x : 180x : 144x = 160 : 180 : 144 = 40 : 45 : 36
A’s Share = Rs(8470 * 40/125) = Rs 2800/-
Answer: Option B
Answer: B
Question: If m > 0 and x is m percent of y, then, in terms of m, y is what percent of x?
Options:
A)100m
B)1/100m
C)1/m
D)10/m
E)10000/m
Rationale: x is m% of y, then x = m/100(y)
y = 100x/m
y/x = 100x/m/x * 100% = 10000/m %
ANSWER:E
Answer: E
Question: A man can do a piece of work in 4 days, but with the help of his son he can do it in 3 days. In what time can the son do it alone ?
Options:
A)12 days
B)6 days
C)5 days
D)4 days
E)None of these
Rationale: Explanation:
In this type of question, where we have one person work and together work done. Then we can easily
get the other person work just by subtracting them. As
Son's one day work =
(1/3−1/4)=(4−3)/12=1/12
So son will do whole work in 12 days
Answer: A
Answer: A
Question: What is the difference between the compound interest on Rs.12000 at 22% p.a. for one year when compounded yearly and half yearly?
Options:
A)399
B)383
C)120.2
D)288.2
E)145.2
Rationale: When compounded annually, interest
= 12000[1 + 22/100]1 - 12000 = Rs.2640
When compounded semi-annually, interest
= 12000[1 + 11/100]2 - 12000 = Rs.2785.20.
Required difference = 2785.20 - 2640 = Rs.145.20
Answer: E
Answer: E
Question: A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in?
Options:
A)3 hours
B)6 hours
C)7 hours
D)4 hours
E)8 hours
Rationale: B
6 hours
Suppose A, B and C take x, x/2 and x/3 respectively to finish the work.
Then, (1/x + 2/x + 3/x) = 1/2
6/x = 1/2 => x = 12
So, B takes 6 hours to finish the work.
Answer: B
Question: A can run 224 meter in 28 seconds and B in 32 seconds. By what distance A beat B?
Options:
A)28 meter
B)24 meter
C)34 meter
D)32 meter
E)38 meter
Rationale: Clearly, A beats B by 4 seconds
Now find out how much B will run in these 4 seconds
Speed of B = Distance/Time taken by B=224/32=28/4=7 m/s
Distance covered by B in 4 seconds = Speed × time =7×4=28 meter
A beat B by 28 meter
ANSWER:A
Answer: A
Question: A 10-by-8 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the lateral surface, which of the following must be true of the two possible cylinders that can be formed?
Options:
A)The volume of the cylinder with height 10 is 80/pi cubic inches greater than the volume of the cylinder with height 6.
B)The volume of the cylinder with height 8 is 80/pi cubic inches greater than the volume of the cylinder with height 10.
C)The volume of the cylinder with height 10 is 80pi cubic inches greater than the volume of the cylinder with height 6.
D)The volume of the cylinder with height 8 is 80pi cubic inches greater than the volume of the cylinder with height 10.
E)The volume of the cylinder with height 8 is 240/pi cubic inches greater than the volume of the cylinder with height 10.
Rationale: Pretty straightforward. Plug in the values to compute the volume of the cylinder. Keep in mind 8 and 10 are the circumference of the base and not the radius. B is the right answer.
Answer: B
Question: Which of the following MUST yield an integer when divided by 3?
Options:
A)The sum of three consecutive positive integers.
B)The square of a prime number.
C)The sum of two odd integers.
D)The product of three consecutive odd numbers.
E)The difference between a multiple of 8 and a multiple of 3.
Rationale: For option A: Let the numbers be (x-1), (x), (x+1), .
Now, (x-1) + (x) + (x+1) = 3(x). Hence A is true. No need to check other answers since there can only be one correct answer.
So, Ans(A).
Answer: A
Question: The greatest number by which the product of three consecutive multiplies of 3 is always divisible is
Options:
A)54
B)81
C)162
D)243
E)None
Rationale: Sol.
Required number = Product of first three multiplies of 3
= (3 × 6 × 9) = 162.
Answer C
Answer: C
Question: Two spherical balls lie on the ground touching. If one of the balls has a radius of 10 cm, and the point of contact is 12 cm above the ground, what is the radius of the other ball?
Options:
A)2 cm
B)5/2 cm
C)5 cm
D)15/2 cm
E)none of the these
Rationale: similar triangle properties..
2/r+10 = 10/r-10
giving r = 15/2.
Answer: D
Answer: D
Question: Dames school has 2000 boys and 5000 girls. What is the percentage increase from boys to total attendance and girls to total attendance?
Options:
A)A) 40%
B)B) 10%
C)C) .4%
D)D) 50%
E)E) 12%
Rationale: Ratio of boys to total attendance (2/7)
Ratio of girls to total attendance (5/7)
percentage increase is (difference/initial quantity)*100
(2/7)/(5/7 )* 100= 40%
Correct answer is A
Answer: A
Question: Shreyas bought an article and sold it for 125% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.30750/-?
Options:
A)Rs.24600
B)Rs.25640
C)Rs.24250/-
D)Rs.23200
E)None of these
Rationale: Explanation:
125% of CP = Rs.30750
:. CP = Rs.30750x100/125 = Rs.24600.
Answer: Option A
Answer: A
Question: Y can do a work in 2/3 the time it takes X. Z can do the same work in ¾ the time it takes Y.When all three are typing at the same time what fraction of their total work does Y do
Options:
A)1/3
B)4/13
C)9/23
D)8/29
E)10/29
Rationale: given the ratio of the time of y and x is 2/3 : 1
therefore the ratio of speed of the x and y becomes 2 : 3.
similarly the ratio of the speed of the z and y given as 4 : 3
therefore the speed of the y and z becomes 3 : 4.
now , comparing the ratio of the x,y and z
it becomes 2: 3 :: 3 : 4
hence the y is doing 3/9 hence it is doing 1/3 work.
ANSWER:A
Answer: A
Question: In how many ways, a committee of 8 members can be selected from 10 men and 8 ladies, consisting of 5 men and 3 ladies?
Options:
A)15000
B)14567
C)14112
D)13445
E)14431
Rationale: (5 men out 10) and (3 ladies out of 8) are to be chosen
Required number of ways = 10C5*8C3 = 14112
Answer is C
Answer: C
Question: One hour after Adrienne started walking the 60 miles from X to Y, Harold started walking from X to Y as well. Adrienne walks 3 miles per hour and Harold walks 1 mile per hour faster than Adrienne. How far from X will Harold be when he catches up to Adrienne?
Options:
A)8 miles
B)12 miles
C)10 miles
D)11 miles
E)14 miles
Rationale: First, determine how far Adrienne has walked in the one hour. She has walked three miles which means she is three miles ahead of Harold when he sets off. Harold walks at four miles/hour which means that every hour, Harold will get one mile closer to Adrienne. If he gets one mile closer every hour, it will take him three hours to catch up to her which means he travels 3hours * 4 miles/hour = 12 miles and she travels 4 hours * 3 miles/hour = 12 miles. He will be 12 miles from X when he catches up to her.
A slightly different way to solve...
We don't know how long they will walk before they catch up to one another but we do know that A walks for one hour more than J. J = T and A = T+1. We are looking for the distance at which they meet up which means the distance will be the same. D=r*t so,
r*t (Harold ) = r*t (adrienne)
r*(t) = r*(t+1)
4t = 3t+3
t=3
d=r*t
d=4*3
d=12
B) 12 miles
Answer: B
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 1 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Options:
A)1/364
B)2/455
C)1/91
D)4/455
E)None of these
Rationale: Given that there are three blue marbles, four red marbles, six green marbles and one yellow marbles.
Probability that all the three marbles picked at random are blue = 3C₃/14C₃ = (1 * 3 * 2 * 1)/(14 * 13 * 12) = 1/364
ANSWER:A
Answer: A
Question: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/8, then what is the value of abc/def ?
Options:
A) 27/4
B) 27/8
C) 3/4
D) 3/16
E) 1/4
Rationale: Say a = 2. Then:
a/b = 1/3 --> b = 6;
b/c = 2 --> c = 3;
c/d = 1/2 --> d = 6;
d/e = 3 --> e = 2;
e/f = 1/8 --> f = 16.
abc/def = (2*6*3)/(6*2*16) = 3/16.
Answer: D.
Answer: D
Question: Salesperson A's compensation for any week is $300 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?
Options:
A)$21,000
B)$18,000
C)$12,000
D)$8000
E)$4000
Rationale: 300+0.06(x-1000) = 0.08x
0.02x = 240
x = $12,000
The answer is C.
Answer: C
Question: A, B, and C were to be paid in proportion to the part of work they did while working on the same piece of work. A and B individually can finish the piece of work in 12 days and 9 days respectively. They worked together for five days and then C completed the remaining work all alone. If $720 was the net sum to be paid for the entire work, what was the average daily wage of B?
Options:
A)$144
B)$80
C)$60
D)$54
E)$48
Rationale: The correct answer is B.
Answer: B
Question: Exactly 20% of the reporters for a certain wire service cover local politics in Country X. If 20% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?
Options:
A) 20%
B) 42%
C) 44%
D) 75%
E) 84%
Rationale: You are correct. People who cover local politics are a subset of people who cover politics.
20% of reporters who cover politics do not cover local politics so 80% DO cover local politics.
Reporters covering local politics= 80% of reporters covering politics= 20% ofall reporters
Reporters covering politics/All Reporters = 20/80 = 1/4
Reporters not covering politics/All Reporters = 3/4 = 75%=D
Answer: D
Question: Set W consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in set W by 50, set Y is derived by multiplying each term in set W by 1.5, and set Z is derived by dividing each term in set W by -4. Which of the following represents the ranking of the three sets in descending order of standard deviation?
Options:
A) X, Y, Z
B) X, Z, Y
C) Y, Z, X
D) Y, X, Z
E) Z, Y, X
Rationale: Set W - {2, 4, ..., 100};
Set X - {-48, -46, ..., 50};
Set Y - {3, 6, ..., 150};
Set Z - {-2/4, -4/4, ..., -100/4} = {-1/2, -1, -3/2, ..., -25}.
If we add or subtract a constant to each term in a set the SD will not change, so sets W and X will have the same SD.
If we increase or decrease each term in a set by the same percent (multiply by a constant) the SD will increase or decrease by the same percent, so set Y will have 1.5 times greater SD than set W and set Z will have 4 times less SD than set W (note SD can not be negative so SD of Z wil be SD of W divided by 4 not by -4).
So, the ranking of SD's in descending order is: Y, W=X, Z.
Answer: D.
Answer: D
Question: Sonika deposited Rs.4500 which amounted to Rs.8400 after 2 years at simple interest. Had the interest been 4% more. She would get how much?
Options:
A)9680
B)8790
C)8760
D)9020
E)5000
Rationale: (4500*2*4)/100 = 360
8400
--------
8760
Answer: C
Answer: C
Question: How many of the factors of 280 are divisible by 2?
Options:
A)4
B)8
C)10
D)12
E)16
Rationale: 280 = 2^3*5*7
The total number of factors is (1+3)(1+1)(1+1) = 16
The odd factors are 1, 5, 7, and 35.
The number of even factors is 16-4 = 12
The answer is D.
Answer: D
Question: The average (arithmetic mean) of eight numbers is 43.2. If the sum of half of these numbers is 156.4, what is the average of the other half?
Options:
A)47.3
B)51.5
C)55.8
D)59.2
E)63.7
Rationale: The average of this half is 156.4/4 = 39.1
This is 4.1 below the overall average, thus the average of the other half of the numbers must be 4.1 above the overall age, that is 43.2+4.1 = 47.3
The answer is A.
Answer: A
Question: The very opening sentence of the passage speaks about the ‘semantic conspiracy’ which means linguistic intrigue; a trickery usage of language.
Options:
A)11
B)21
C)112
D)112
E)1111
Rationale: Answer:E
Answer: E
Question: A mother bought three dress for her triplets daughters(one for each) and put the dresses in the dark. One by one the girls come and pick a dress.
What is the probability that no girl will choose her own dress?
Options:
A)1/2
B)3/4
C)2/3
D)1/3
E)2/4
Rationale: Assuming D1 is the dress for Sister1, D2 is the dress for Sister2 and D3 is the dress for Sister3.
Therefore the total number of cases are illustrated below.
Sister1 Sister2 Sister3
D1 D2 D3
D1 D3 D2
D2 D1 D3
D2 D3 D1 ..... (1)
D3 D1 D2 .... (2)
D3 D2 D1
In both steps (1) & (2), no one gets the correct Dress.
Therefore probability that no sister gets the correct dress is 2/6 = 1/3
correct answer is D)1/3
Answer: D
Question: A stock trader originally bought 100 shares of stock from a company at a total cost of m dollars. If each share was sold at 50% above the original cost per share of stock, then interns of m for how many dollars was each share sold?
Options:
A)a) 3m/300
B)b) m/300
C)c) m/200
D)d) m/300 + 50
E)e) 350/m
Rationale: Let Cost of 100 shares be $ 1000
So, Cost of 1 shares be $ 10 =>m/100
Selling price per share = (100+50)/100 * m/100
Or, Selling price per share = 3/2 * m/100 => 3m/200
Hence answer will be (A)
Answer: A
Question: If A and B are two prime numbers bigger than 2, which of the following can't be true?
(1) A + B is an even number.
(2) A x B is also a prime number.
(3) A- B is also a odd number.
Options:
A)1 only.
B)2 only.
C)3 only.
D)1 and 3 only.
E)2 and 3. Only
Rationale: (1) A + B is an even number. : All primes beyond 2 are odd, so odd+odd = even, so true
(2) A x B is also a prime number. : Beats the property of primes, so false
(3) A^B is also a prime number. : Beats the property of primes, so false
Ans E
Answer: E
Question: The average of first 10 natural numbers is?
Options:
A)5.2
B)5.5
C)5.3
D)5.9
E)5.1
Rationale: Sum of 10 natural no. = 110/2 = 55
Average = 55/10 = 5.5
Answer:B
Answer: B
Question: The difference between the compound interest and simple interest on a certain sum of money at 5% per annum for 2 years is 45. Then the original sum is?
Options:
A)17000
B)12000
C)19000
D)14000
E)18000
Rationale: For 2 years = (100(power 2)D)/R(power 2)
= (100(power 2) × 45)/(5 × 5) = (10000 × 45)/25 = Rs.18000/-
Answer is E.
Answer: E
Question: A reduction of 30% in the price of oil enables a house wife to obtain 9 kgs more for Rs.1800, what is the reduced price for kg?
Options:
A)Rs.55
B)Rs.60
C)Rs.65
D)Rs.70
E)Rs.75
Rationale: Explanation:
1800*(30/100) = 540 ---- 9
? ---- 1 => Rs.60
Answer: B
Answer: B
Question: The speed at which a man can row a boat in still water is 15 km/hr. If he rows downstream, where the speed of current is 3 km/hr, how many seconds will he take to cover 110 meters?
Options:
A)18
B)20
C)22
D)24
E)28
Rationale: The speed of the boat downstream = 15 + 3 = 18 km/hr
18 km/hr * 5/18 = 5 m/s
The time taken to cover 110 meters = 110/5 = 22 seconds.
The answer is B.
Answer: B
Question: The sum of three consecutive numbers is 102. The greatest among these three number is:
Options:
A)26
B)35
C)29
D)30
E)31
Rationale: Let the numbers be x, x + 1 and x + 2
Then,
x + (x + 1) + (x + 2) = 102
3x = 102
x = 33
Greatest number, (x + 2) = 35.
ANSWER:B
Answer: B
Question: If an item that originally sold for z dollars was marked up by x percent and then discounted by y percent, which of the following expressions G represents the final price of the item?
Options:
A)G=(10,000z + 100z(x – y) – xyz)/10,000
B)G=(10,000z + 100z(y – x) – xyz)/10,000
C)G=(100z(x – y) – xyz)/10000
D)(100z(y – x) – xyz)/10000
E)10000 /(x – y)
Rationale: -A-
z=Original Price
x= MU
y=MD
New price with MU:
z(x/100+1)
New price with MD:
z[(x/100+1)(-y/100+1)]
Solvingâ€¦
=z[((x+100)/100)((-y+100)/100)]
=z(x100-xy+10000-100y)/10000
=(zx100-xyz+10000z-100yz)/10000 --> similar to A
Answer: A
Question: A bag contains 5 red and 3 green balls. Another bag contains 4 red and 6 green balls. If one ball is drawn from each bag. Find the probability that one ball is red and one is green.
Options:
A)19/20
B)17/20
C)21/40
D)8/10
E)9/40
Rationale: Let A be the event that ball selected from the first bag is red and ball selected from second bag is green.
Let B be the event that ball selected from the first bag is green and ball selected from second bag is red.
P(A) = (5/8) x (6/10) = 3/8.
P(B) = (3/8) x (4/10) = 3/20.
Hence, the required probability is P(A) + P(B) which is nothing but 21/40.
ANSWER:C
Answer: C
Question: If P is a prime number greater than 5, what is the remainder when P^2 is divided by 8.
Options:
A)4
B)3
C)2
D)1
E)Cannot be determined
Rationale: Here is the algebraic approach..
these prime numbers are of teh form 6n+1 or 6n-1..
so P= 6n+1..
P^2=(6n+1)2=36n^2+12n+1
Now 36n^2+12n=4n(9n+3)
if n is even... 4n will be div by 8....
if n is odd.. 4n will be div by 4 and 9n+3 will become even and be div by 2,hence 4n*(9n+3) will be div by 4*2=8..
so in P^2=36n^2+12n+1 only 1 is left, Remainder = 1.
ANSWER:D
Answer: D
Question: Two cars were driven by C and B. They were 580 miles apart when they started driving towards each other.C's car had traveled at a speed of 20 miles per hour, 4 hours per day for 5 days when it had met B's car. If B had driven 3 hours per day for 5 days, what was B's speed in miles per hour?
Options:
A)8
B)9
C)10
D)11
E)12
Rationale: 1. At 20mph for 4 hours a day, then driver C was traveling 80 miles per day. When C met with B, C had already traveled 400 miles.
2. This means that driver B had traveled 580-400 = 180 miles upon meeting up with C. B traveled a total of 3 x 5 = 15 hours (3hrs/day for 5 days). 180 miles / 15 hours = 12mph
3. Answer E!
Answer: E
Question: If the price of a certain computer increased 30 percent from x dollars to 351 dollars, then 2x =
Options:
A)540
B)570
C)619
D)649
E)700
Rationale: Before Price increase Price = x
After 30% Price increase Price = x+(30/100)*x= 1.3x = 351 (Given)
i.e. x= 351/1.3 = $270
i.e. 2x = 2*270 = 540
Answer: option A
Answer: A
Question: A train 440 meters long is running with a speed of 55 kmph. The time taken by it to cross a tunnel 180 meters long is?
Options:
A)40.58 sec
B)41.33 sec
C)42.33 sec
D)40 sec
E)44.33 sec
Rationale: D = 440 + 180 =620
S = 55 * 5/18 = 15.27778 mps
T = 620/15.27778 =40.58182 sec
ANSWER:A
Answer: A
Question: Rahul take a loan of sum Rs.550.This is to be repaid in two equal annual installments. If the rate of interest be 20% compounded annually,then find the value of each installment?
Options:
A)360
B)420
C)230
D)540
E)610
Rationale: Let the value of each installment be Rs.x
[x/(1+(20/100))]+[x/(1+(20/100))2]=550
(100x/120)+(10000x/14400)=550
(5x/6)+(25x/36)=550
x=360
Option A
Answer: A
Question: Mr. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck
Options:
A)$145
B)$250
C)$300
D)$175
E)$150
Rationale: Let the 1st paycheck be x(integer).Mr. Rodger got a weekly raise of $145. so after completing the 1st week she will get $ (x+145).similarly after completing the 2nd week she will get $(x+145)+$145.=$(x+145+145=$(x+290). so in this way end of every week her salary will increase by $145. correct answer will be (A)
Answer: A
Question: A person can row at 9 kmph and still water. He takes 5 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Options:
A)32
B)28
C)29
D)24
E)20
Rationale: Let the distance between A and B be x km.
Total time = x/(9 + 1) + x/(9 - 1) = 5.5
=> x/10 + x/8 = 11/2 => (4x + 5x)/40 = 11/2 => x
= 24 km.
Answer:D
Answer: D
Question: In a kilometer race, A beats B by 60 meters or 15 seconds. What time does A take to complete the race?
Options:
A)221
B)235
C)245
D)289
E)260
Rationale: Time taken by B run 1000 meters = (1000 * 15)/60 = 250 sec.
Time taken by A = 250 - 15 = 235 sec.Answer:B
Answer: B
Question: How many positive integers less than 10,000 are such that the product of their digits is 210?
Options:
A)24
B)30
C)48
D)54
E)72
Rationale: 210 = 2x5x3x7 = 5x6x7x1 = 5x6x7
Those are the only sets of digits we can use to for the numbers (any other combination of factors will have two digit factors).
Numbers using 2,5,3,7 = 4!
Numbers using 5,6,7,1 = 4!
Numbers using 5,6,7 (3-digit numbers) = 3!
Answer = 24+24+6 = 54
Answer is (D)
Answer: D
Question: How many multiples of 2 are there between 1 and 56, exclusive?
Options:
A)21
B)22
C)27
D)26
E)28
Rationale: 27
multiples of 2 between 1 and 56 exclusive.
from 2 * 1 upto 2*27, (1,2,3,4,...,27). Hence, 27 multiples !
correct option is C
Answer: C
Question: A Rent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:
Options:
A)5%
B)7%
C)7.5%
D)10%
E)None of these
Rationale: Answer: D
Answer: D
Question: Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next?
Options:
A)15
B)14
C)17
D)18
E)19
Rationale: In this alternating repetition series, the random number 21 is interpolated every other number into an otherwise simple addition series that increases by 2, beginning with the number 9.
ANSWER A
Answer: A
Question: The manufacturing cost of a shoe is Rs.210 and the transportation lost is Rs.500 for 100 shoes. What will be the selling price if it is sold at 20% gains
Options:
A)s 222
B)s 216
C)s 258
D)s 210
E)s 217
Rationale: Explanation :
Total cost of a watch = 210 + (500/100) = 215.
Gain = 20% => SP = 1.2CP = 1.2 X 215 = 258
Answer : C
Answer: C
Question: suppose that 10 teams participated in a soccer tournament where each
team played exactly one game with each of the other teams. The winner
of each game received 3 points, while the loser received 0 points. In case
of a tie, both teams received 1 point. At the end of the tournament, the
10 teams received a total of 130 points. How many games ended in a tie?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: There were 45 games played in the tournament (10 2 )games.
Now, the total
number of points awarded in one game is either 3 (if one team wins), or 2 (when the
teams tie the game). So, the total number of points received is 3 × 45−(the number of
games ended in a tie). Thus, exactly 5 games ended in a tie.
correct answer E
Answer: E