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QUESTION:A retail appliance store priced a video recorder at 20 percent above the wholesale cost of $200. If a store employee applied the 15 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder?
options: A) $204 B) $216 C) $220 D) $230 E) $240
SOLUTION:Wholes... |
QUESTION:The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 216. What is the rate of interest per annum?
options: A)8 B)2 C)9 D)4 E)12
SOLUTION:Explanation:
[15000 * (1 + R/100)2 - 15000] - (15000 * R * 2)/100 = 216
15000[(1 + R/100)2 - 1 - 2R/100] = 216
15000[(100 + R)2 - 10000 - 200R]/... |
QUESTION:Large, medium and small ships are used to bring water. 4 large ships carry as much water as 7 small ships; 3 medium ships carry as much water as 2 large ships and 1 small ship. If 15 large, 7 medium and 14 small ships, each made 36 journeys to bring a certain quantity of water, then in how many journeys will 1... |
QUESTION:Faiza has 4 purses, she gives 3 purse as gift. Now how many purse did she have ?
options: A)2 B)5 C)1 D)9 E)4
SOLUTION:4-3=1. Answer is C #### C |
QUESTION:A train 120 m long is running with a speed of 54 km per hour. In what time will it pass a telegraph post?
options: A)11 s B)10 s C)8 s D)12 s E)None of these
SOLUTION:We know from the formula Time = Distance/ Speed
Thus, Time = 120/ 54 x 5/18
or, Time = 8 sec.
ANSWER:C #### C |
QUESTION:A & B started a partnership business. A's investment was thrice the investment of B and the period of his investment was two times the period of investments of B. If B received Rs 4000 as profit , what is their total profit?
options: A)28000 B)30000 C)32000 D)34000 E)None of these
SOLUTION:Explanation :
Suppos... |
QUESTION:Sum of 3 consecutive even no.'s is 34 more than the 1st no. of the series. Find the middle no.?
options: A)8 B)12 C)14 D)16 E)18
SOLUTION:Let the numbers be x, x+2 and x+4 then
x + x+2 + x+4 = x+34
3x + 6 = x + 34
2x = 28
\inline \therefore x = 14
\inline \therefore Middle number = x + 2 = 14+2 = 16
D #### D |
QUESTION:The speed of a boat in still water in 20 km/hr and the rate of current is 6 km/hr. The distance travelled downstream in 12 minutes is:
options: A)10.6 B)5.2 C)10.8 D)5.4 E)5.0
SOLUTION:Speed downstream = (20 + 6) = 26 kmph
Time = 24 minutes =12/60 hour = 1/5 hour
Distance travelled = Time × speed =1/5×26 = 5.2... |
QUESTION:By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
options: A)11 B)25 C)77 D)99 E)21
SOLUTION:SP = CP + g
150 SP = 150 CP + 30 SP
120 SP = 150 CP
120 --- 30 CP
100 --- ? => 25%.Answer:B #### B |
QUESTION:A train 125 m long passes a man, running at 15 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
options: A)60 km/hr B)50 km/hr C)36 km/hr D)26 km/hr E)87 km/hr
SOLUTION:Speed of the train relative to man = 125/10 = 25/2 m/sec.
= 25/2 * 18/5 = 45 km/hr
Let the speed... |
QUESTION:9, 12, 11, 14, 13, ?, 15
options: A)16 B)12 C)14 D)17 E)20
SOLUTION:A
16
Alternatively, 3 is added and one is subtracted. #### A |
QUESTION:Deepak can read x pages in 10 minutes. At this rate, how long will it take him to read y pages?
options: A)(12/x)*y B)(5/x)*y C)(10/x)*y D)(10x)*y E)(13/x)*y
SOLUTION:x page in 10 mins
i.e. 1 page in 10/x mins
i.e. y pages in (10/x)*y
Answer: option C #### C |
QUESTION:Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
options: A)16 km/hr B)17 km/hr C)60 km/hr D)15 km/hr E)19 km/hr
SOLUTION:Let the speed of the slower train be x m/sec.
Then, speed of the train = 2x... |
QUESTION:((-1.9)(0.6) – (2.6)(1.2))/2.0 = ?
options: A)-0.71 B)1.0 C)1.07 D)1.71 E)-2.13
SOLUTION:Dove straight into calculation but quickly realized that the sum of two negatives is a negative so there is only one option.
-2.13
Answer E #### E |
QUESTION:The ratio, by weight, of coffee to sugar to water in a pot of coffee is 7:3:15. The ratio is then altered so that the ratio of coffee to sugar is halved while the ratio of coffee to water is doubled. If the altered pot of coffee contains 12 grams of sugar, how many grams of water does it contain after alterati... |
QUESTION:Which one the following fractions has the biggest value?
options: A)211/711 B)201/711 C)191/711 D)221/711 E)181/711
SOLUTION:All options have the same denominator 711. If denominator is same, the fraction with the biggest value will be the one with the biggest numerator. Answer (D). #### D |
QUESTION:The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?
options: A)16 2/3% loss B)11 2/3% loss C)66 2/3% loss D)12 2/3% loss E)17 2/3% loss
SOLUTION:Explanation:
15 CP = 18 SP
18 --- 3 CP loss
100 --- ? => 16 2/3% loss
Answer: A #### A |
QUESTION:During a special promotion, a certain filling station is offering a 10 percent discount on gas purchased after the first 10 gallons. If Kim purchased 15 gallons of gas, and Isabella purchased 25 gallons of gas, then Isabella‟s total per-gallon discount is what percent of Kim‟s total per-gallon discount?
option... |
QUESTION:In Orange County, one eighth of the people are gathering mushrooms and one seventh of the people are collecting apples. What can be the number of people in Orange County?
options: A)200 B)210 C)216 D)224 E)235
SOLUTION:The number must be a multiple of both 8 and 7 so the answer is 224.
The answer is D. #### D |
QUESTION:Randy can rebuild an automobile engine in b hours. Alvin can rebuild the same engine in a hours. If Randy and Alvin work together at their respective rates to rebuild the engine, which of the following represents the portion of the job that Randy will not have to complete?
options: A)ab/(a+b) B)(a-b)/(a+b) C)b... |
QUESTION:Set A = {1, 2, 3, 4, 5, 6, q}
Which of the following possible values for q would cause Set A to have the smallest standard deviation?
options: A) 1 B) 2.5 C) 3 D) 3.5 E) 7
SOLUTION:I agree. The mean of the set q =1,2,3,4,5,6 is 3.5 . Now if we add one extra number to the set, in order for the standard deviatio... |
QUESTION:A heap of stones can be made up into groups of 21. When made up into groups of 16, 20, 25 and 45 there are 3 stones left in each case. How many stones at least can there be in the heap?
options: A)7203 B)2403 C)3603 D)4803 E)5803
SOLUTION:LCM of 16, 20, 25, 45 = 3600
1 * 3600 + 3 = 3603 not divisible by 21
2 *... |
QUESTION:Roy was suffering from severe headaches. He went to see his doctor and the doctor gave him five tablets asking him to take one tablet every 15 minutes.
How much time will it take Roy to consume all the five tablets?
options: A)60 min B)50 min C)70 min D)65 min E)80 min
SOLUTION:A
60 min
Roy will be able to con... |
QUESTION:Rectangle A has sides a and b, and rectangle B has sides c and d. If a/c=b/d=4/5, what is the ratio of rectangle A’s area to rectangle B’s area?
options: A)5/4 B)25/16 C)4/5 D)16/25 E)16/5
SOLUTION:The area of rectangle A is ab.
c=5a/4 and d=5b/4.
The area of rectangle B is cd=25ab/16.
The ratio of rectangle A... |
QUESTION:A man can row upstream at 45 kmph and downstream at 55 kmph, and then find the speed of the man in still water?
options: A)32 kmph B)34 kmph C)30 kmph D)50 kmph E)65 kmph
SOLUTION:US = 45
DS = 55
M = (45 + 55)/2 = 50
Answer:D #### D |
QUESTION:A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is?
options: A)10 B)20 C)50 D)30 E)40
SOLUTION:Man's speed with the current = 15 km/hr
=> speed of the man + speed of the current = 15 km/hr
speed of the current is 2.5 km/hr
Hence, speed o... |
QUESTION:In a particular course, only two grades are given all semester: the midterm exam, which counts for 25% of the semester grade, and the final exam, which counts for the remainder. Lindsey's semester grade was 88%. If the highest possible score on either exam is 100%, what is the lowest possible A score that Lind... |
QUESTION:An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
options: A)Rs.4082.67 B)Rs.4082.99 C... |
QUESTION:A reward of $1400 was divided among a group of 36 rescue workers such that each male in the group received $50. How much did each of the 16 females receive?
options: A)$10 B)$12.50 C)$25 D)$37.50 E)$50
SOLUTION:x = amount each female received
amount each male received = 50
number of females = 16
number of male... |
QUESTION:The probability of having a girl is identical to the probability of having a boy. In a family with seven children, what is the probability that all the children are of the same gender?
options: A)1/64 B)1/9 C)1/16 D)1/25 E)1/2
SOLUTION:There are two cases. All boys and all girls
case 1. all boys.
1/2*1/2*1/2*1... |
QUESTION:The ratio of spinsters to cats is 2 to 9. If there are 63 more cats than spinsters, how many spinsters are there?
options: A)10 B)12 C)14 D)16 E)18
SOLUTION:Let 2x be the number of spinsters. Then 9x is the number of cats.
9x-2x=63
x=9 and the number of spinsters is 2(9)=18.
The answer is E. #### E |
QUESTION:The variables a and b are non-zero integers W. If a = 2b^3/c, what happens to c when a is halved and b is doubled?
options: A)c is not changed. B)c is halved. C)c is doubled. D)c is multiplied by 4. E)c is multiplied by 16.
SOLUTION:a=2b^3/c
c=2b^3/a
when a is halved and b is doubled
c=2(2b)^3/(a/2)
c=16*2b^3/... |
QUESTION:When a number is divided by 6 &then multiply by 12 the answer is 11 what is the no.?
options: A)4.5 B)5 C)5.5 D)5.8 E)6
SOLUTION:if $x$ is the number, x/6 * 12 = 11
=> 2x = 11
=> x = 5.5
C #### C |
QUESTION:A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
options: A)35 B)20 C)47 D)36 E)30
SOLUTION:1: 2/5 = 5: 2
2/7 * 70 =20
Answer:B #### B |
QUESTION:Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
options: A)10years B)12 years C)5 years D)3 years E)24 years
SOLUTION:Explanation:
9261 = 8000(21/20)N
(21/20)3 = (21/20)N => N = 3 years
Answer:D #### D |
QUESTION:11 is subtracted from 40% of a number and results is 23. What is the number?
options: A)160 B)92 C)88 D)85 E)34
SOLUTION:(40/100) * X – 11 = 23
4X = 340
X = 85
Answer:D #### D |
QUESTION:Seller selling an apple for Rs.18, a Seller loses 1/6th of what it costs him. The CP of the apple is?
options: A)10 B)12 C)19 D)18 E)20
SOLUTION:SP=18Loss=CP19Loss=CP−SP=CP−18⇒CP19=CP−18⇒18 CP19=18⇒CP19=1⇒CP=19
C #### C |
QUESTION:If 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 40 men in 3 days?
options: A)65mtr. B)52mtr C)70mtr. D)112mtr. E)17mtr.
SOLUTION:20 men is 6 days can build 112 metres
25 men in 3 days can build = 112*(40/20)x(3/6)
= 112 meters
Answer: D. #### D |
QUESTION:Which of the following is an integer?
I. 9! / 6!
II. 9! / 8!
III. 9! / 7!5!
options: A)I only B)II only C)III only D)I and II only E)I, II, and III
SOLUTION:9!/6! = 9*8*7 which is an integer.
9!/8! = 9 which is an integer.
9!/7!5! = 9*8 / 5*4*3*2 = 3/5 which is not an integer.
The answer is D. #### D |
QUESTION:In a division, a student took 63 as divisor instead of 36. his answer was 24 . The correct answer is-
options: A)42 B)32 C)48 D)28 E)38
SOLUTION:X/63 = 24.
X = 24 *63.
So correct answer would be,
(24 *63) /36 = 42.
ANSWER : A #### A |
QUESTION:Car A runs at the speed of 60 km/hr and reaches its destination in 8 hours. Car B runs at the speed of 70 km/h and reaches its destination in 4 hours. What is the ratio of distances covered by Car A and Car B?
options: A)3 : 7 B)4 : 9 C)12 : 7 D)5 : 7 E)6 : 11
SOLUTION:Car A travels 60 × 8 = 480 km
Car B trave... |
QUESTION:Eggs are sold in packages of six or eleven only. If Doris bought 78 eggs exactly, what could be the number of large packs Doris bought?
options: A)6. B)2. C)3. D)5. E)4.
SOLUTION:No strategy involved. Simple question demanding fast calculation.
11x6 = 66=> 78-66=12 => 12/6 is an integer
Ans A. 6.
Good luck ###... |
QUESTION:The cube root of what integer power of 2 is closest to 50?
options: A)16 B)17 C)18 D)19 E)20
SOLUTION:Integer powers of 2 = 2 , 2^2, 2^3, 2^4, 2^5, 2^6, 2^7 etc.
Let, Cube root of x is closest to 50
i.e. x is closest to cube of 50 = 50*50*50 = 125000
But x must be equivalent to an Integer power of 2
2^10 = 102... |
QUESTION:The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?
options: A)8 B)2 C)9 D)4 E)6
SOLUTION:Explanation:
[15000 * (1 + R/100)2 - 15000] - (15000 * R * 2)/100 = 96
15000[(1 + R/100)2 - 1 - 2R/100] = 96
15000[(100 + R)2 - 10000 - 200R]/1000... |
QUESTION:At a party, everyone shook hands with everybody else. There were 66 handshakes.
How many people were at the party?
options: A)15 B)18 C)11 D)12 E)19
SOLUTION:D
12
If there are n people,
the first person will shake hand with n-1 persons,
the second with n-2,
the third with n-3,
and
the (n-1)th person with n-(n-... |
QUESTION:A precious stone weighing 35 grams worth Rs. 12,250 is accidentally dropped and gets broken into two pieces having weights in the ratio of 2 : 5. If the price varies as the square of the weight then find the loss incurred.
options: A)Rs. 5750 B)Rs. 6000 C)Rs. 5500 D)Rs. 5000 E)Rs. 7000
SOLUTION:The price varie... |
QUESTION:Express of the following as a fraction:
25%
options: A)1/4 B)1/8 C)2/9 D)3/6 E)None of them
SOLUTION:25% = 25/100= 1/4.
Answer is A. #### A |
QUESTION:A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
options: A)22.7 kmph B)12.7 kmph C)27.6 kmph D)12.5 kmph E)22.1 kmph
SOLUTION:Let the speed of the man in still water be a kmph and let the speed of the... |
QUESTION:If p and q are prime numbers, how many divisors does the product p^3 * q^6 have?
options: A)9 B)12 C)18 D)28 E)36
SOLUTION:Lets take an example: find the number of factors of 100
try to represent 100 in least possible prime numbers
100= 2^2 * 5^2=p^a*q^b
no of factors is given by the formula (a+1)* (b+1)=(2+1)... |
QUESTION:A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 5,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
options: A) 1.25% B) 3.75% C) 6.25% D) 6.67% E) 11.11%
SOLUTION:The remaining solution will be ... |
QUESTION:In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals: I, II and III. 50% of those asked favoured proposal I, 30% favoured proposal II, and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, what W percentage of those asked fa... |
QUESTION:Find 30 % of 240
options: A)72 B)94 C)86 D)74 E)110
SOLUTION:We know that R % of m is equal to R/100 × m.
So, we have 30 % of 240
30/100 × 240
= 72
Answer:A #### A |
QUESTION:In the kitchen of a busy restaurant, it takes M minutes to wash P pots. At this rate, how many hours does it take to wash 4P pots?
options: A)M/15 B)15M C)15/M D)4M/15 E)15/4M
SOLUTION:The time it takes to wash 4P pots is 4M minutes which is 4M / 60 = M/15 hours.
The answer is A. #### A |
QUESTION:What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, x
options: A)2450 B)2560 C)3200 D)3400 E)3158
SOLUTION:12
12 × 3 + 2 = 38
38 × 3 + 2 = 116
116 × 3 + 2 = 350
350 × 3 + 2 = 1052
1052 × 3 + 2 = 3158
E #### E |
QUESTION:If m^2-8m+1=0,then m^3+m^(-3)= ?
options: A)487 B)488 C)489 D)457 E)495
SOLUTION:here from equation 1 we will get
m^2-8m+1=0
m^2=8m-1
m=(8m-1)/m.........(1)
m=8-1/m
so m+1/m=8
now in equation 2
m^3+1/m^3
(m+1/m)(m^2 - m*1/m + 1/m^2)
(m+1/m)(m^2 - 1 + 1/m^2)
(m+1/m)(m^2 + 1/m^2 - 1)
(m+1/m){(m+1/m)^2 - 2m*1/m -... |
QUESTION:Mr. Jones sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes, he:
options: A)broke even, B)lost 4 cents C)gained 4 cents D)lost 10 cents E)gained 10 cents
SOLUTION:Solution:
20 % profit on $ 1.20
= $ 20/100 × 1.20
= $ 0.20 × 1.20
... |
QUESTION:W is the set of all positive integers x such that x^2 is a multiple of both 27 and 375. Which of the following integers must be a divisor of every integer x in W?
I. 9
II. 15
III. 27
options: A)I only B)II only C)I and II only D)I and III only E)I, II, and III
SOLUTION:Ans: C
W->{x} where x^2 is a multiple of ... |
QUESTION:A Cuban cigar would cost 3 dollar less than 1.5 times a French cigar, had the French cigar cost 0.7 dollar less than it does now. An Arabian cigar costs 50 cents more than 1.5 times the Cuban cigar. The three cigars together cost 74.7 dollars. What is the price of the French cigar?
options: A)19.7$. B)23$. C)1... |
QUESTION:A statue is being carved by a sculptor. The original piece of marble weighed 180 kg. In the first week 28 percent is cut away. In the second week 18 percent of the remainder is cut away. In the third week the statue is completed when 20 percent of the remainder is cut away. What is the weight of the final stat... |
QUESTION:Z is a set of positive numbers. The median of Z is greater than the mean of Z. Which of the following Q must be true?
I. At least 50% of the numbers in Z are smaller than the median.
II. Less than 50% of the numbers in Z are greater than the median.
III. The median of Z is greater than the average of the large... |
QUESTION:P and Q entered into a partnership investing Rs. 16,000 and Rs. 12,000 respectively. After 3 months, A withdrew Rs.5000 while B invested Rs. 5000 more. After 3 more months, C joins the business with a capital of Rs. 21,000. The share of B exceeds that of C, out of a total profit of Rs. 26,400 after one year by... |
QUESTION:If 80% of 90 is greater than 70% of a number by 30, what is the number?
options: A)70 B)60 C)10 D)75 E)85
SOLUTION:Explanation:
80/100 * 90 - 70/100 * x = 30
72 - 70/100 * x = 30
72 - 30 = 70/100 *x
42 = 70/100 * x
42 * 100 / 70 = x
60 = x
Answer: Option B #### B |
QUESTION:When positive integer F is divided by positive integer B, the result is 4.35. Which of the following could be the reminder when F is divided by B?
options: A) 13 B) 14 C) 15 D) 16 E) 17
SOLUTION:the remainder will be obtained from the decimal part when F is divided by B i.e. 0.35
0.35 = 35/100 = 7/20 so possib... |
QUESTION:The simple Interest on a certain sum of money at the rate of 4% p.a. for 5 years is Rs. 1680. At what rate of interest the same amount of interest can be received on the same sum after 4 years ?
options: A)5% B)6% C)7% D)8% E)9%
SOLUTION:S.I. = 1680, R = 4% T = 5 years
Principal = (100 *1680)/ (5*4) = 8400
So ... |
QUESTION:What was the principal , if at 5% per annum the interest after 10 years amounted to Rs.3100 less than the sum lent?
options: A)6200 B)3000 C)3000 D)2000 E)1000
SOLUTION:P - 2336 = (P*10*5)/100
P = 6200
Answer: A #### A |
QUESTION:The letters in the word ADOPTS are permuted in all possible ways and arranged in alphabetical order then find the word at position 42 in the permuted alphabetical order?
options: A)AOTDSP B)AOTPDS C)AOTDPS D)AOSTPD E)None of these
SOLUTION:Explanation :
In alphabetical order : A D O P S T
A _ _ _ _ _ : the pla... |
QUESTION:A train 120 m long passed a pole in 6 sec. How long will it take to pass a platform 360 m long?
options: A)20 sec B)21 C)22 D)23 E)24
SOLUTION:Speed = 120/6
= 20 m/sec.
Required time
= (120 + 360)/20
= 24 sec.
Answer:E #### E |
QUESTION:An investor bought two shares of stock, which he sold for $36 each. If he had a profit of 20% on one of the shares and a loss of 20% on the other share, then on the sale of both shares combined, the investor had:
options: A)a profit of $5 B)a profit of $3 C)a loss of $3 D)a loss of $5 E)neither a profit nor a ... |
QUESTION:Out of 12 students in a class, 7 are wearing blue shirts, 3 are wearing green shirts, and 2 are wearing red shirts. Four students are to be selected at random. What is the probability that at least one is wearing a green shirt?
options: A)25/33 B)31/44 C)41/55 D)53/66 E)65/77
SOLUTION:Total possible ways to ch... |
QUESTION:A group of men decided to do a work in 20 days, but 8 of them became absent. If the rest of the group did the work in 28 days, Find the original number of men?
options: A)60 B)28 C)40 D)50 E)25
SOLUTION:Original number of men = 8*28 / (28-20) = 28
Answer is B #### B |
QUESTION:Two brothers were expected to return here on the same day. Rajat returned 3 days earlier but Rohit returned 4 days later. If Rajat returned on Monday, what was the expected day when both the brothers were to return home and when did Rohit Return?
options: A)Wednesday, Sunday B)Tuesday, Monday C)Thursday, Monda... |
QUESTION:In a business Ram invests Rs.60,000. After 6 months his uncle invests Rs.40,000. After one year they got a profit of Rs.12,000. Then uncle gets his share as
options: A)Rs.2500 B)Rs.2000 C)Rs.1000 D)Rs.3000 E)Rs.4000
SOLUTION:ram=60,000(12months)
uncle=(40000)(6months)
60000*12 : 40000*6
3 : 1
uncle share= (1/3... |
QUESTION:A train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the train must run to reduce the time of journey to 45min will be.
options: A)60 km/h B)53 km/h C)40 km/h D)70 km/h E)65 km/h
SOLUTION:Time=50/60 hr=5/6hr
Speed=48mph
distance=S*T=48*5/6=40km
time=45/60hr=3/4... |
QUESTION:In order to fulfill a local school’s request for x cakes, B parents agreed to each bake an equal number of cakes. If p of the parents did not bake any cakes, which of the following represents the additional number of cakes that each of the other parents had to bake in order for the school’s request for x cakes... |
QUESTION:If a is a positive integer, and if the units digit of a^2 is 9 and the units digit of (a+1)^2 is 4, what is the units digit of (a+2)^2?
options: A)1 B)3 C)5 D)6 E)14
SOLUTION:For unit digit of a^2 to be 9...unit digit of a has to be 3 or 7...
Now for unit digit of (a+1)^2 to be 4..unit digit of a has to be 1 o... |
QUESTION:The number of sailors on a ship is 85% more than the number of officers. The ratio of sailors to officers would be
options: A)37:20 B)47:20 C)47:25 D)22:25 E)97:50
SOLUTION:Sailor = 1.85 * Officer
Sailor/Officer = 1.85/1 = 185/100 = 37/20
Answer will be A #### A |
QUESTION:In a group of ducks and cows, the total number of legs are 32 more than twice the number of heads. Find the total number of cows.
options: A)12 B)14 C)16 D)18 E)20
SOLUTION:Let the number of ducks be d
and number of cows be c
Then, total number of legs = 2d + 4c = 2(d + 2c)
total number of heads = c + d
Given ... |
QUESTION:A division of a company consists of five men and five women. If two of these employees are randomly selected as representatives of the division, what is the probability that both representatives will be female?
options: A)2/5 B)2/7 C)2/9 D)2/11 E)2/13
SOLUTION:Total number of ways to select 2 members = 10C2 = ... |
QUESTION:In a business, A and C invested amounts in the ratio 2 : 1, and B also invest some amount . If Rs 180000 was their profit, B receive 48000, what was the investment ratio between A and B?
options: A)4 : 9 B)5 : 8 C)7 : 11 D)4 : 7 E)None of these
SOLUTION:Explanation :
Assume that investment of C = x
Then, inves... |
QUESTION:When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number?
options: A)228 B)103 C)286 D)122 E)102
SOLUTION:Explanation:
Let the number be x
x2 - 732 = 5280
x2 = 5280 + (70+3)2 = 5280 + 4900 + 420 + 9 = 10609
= 10000 + 2(100)(3) + 32 = (100 + 3)2
x = 100 + 3 = 1... |
QUESTION:A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
options: A)No profit, no loss B)5% C)8% D)10% E)11%
SOLUTION:Explanation:
C.P. of 56 kg rice = Rs. (26 x 20 + 30 x 36) = Rs. (520 + 1080) = Rs. 1600.... |
QUESTION:The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
options: A)22 seconds B)65 seconds C)78 seconds D)12 seconds E)21 seconds
SOLUTION:Speed of the boat downstream
= 15 + 3 = 18 kmph
= 18 * 5/... |
QUESTION:The average age of three boys is 40 years and their ages are in proportion 6:10:8. What is the age in years of the youngest boy?
options: A)8 B)10 C)7 D)6 E)5
SOLUTION:6x + 10x + 8x = 40
x =1.6
6x = 10
Answer:B #### B |
QUESTION:Two persons start from two places 160 km apart at the same time with velocities 50 km/hr and 30 km/hr. move in opposite direction. Where they meet ?
options: A)90 km from A B)50 km from B C)100 km from A D)70 km from B E)None of these
SOLUTION:Explanation :
Solution: d = 160, v1 = 50, v2 = 30
relative speed vr... |
QUESTION:Which of the following fractions is smaller than 17/50?
options: A)2/5 B)11/34 C)43/99 D)8/21 E)9/20
SOLUTION:Answer B
17/50=0.34
11/34=0.323529 which is 0.01647 smaller than 0.34 #### B |
QUESTION:If three eighth of a number is 141. What will be the approximately value of 32.08% of this number?
options: A)70 B)80 C)100 D)110 E)120
SOLUTION:Explanation:
x * 3/8 = 141 => x= 376
376 * 32.08/100 = 120
E) #### E |
QUESTION:Sum of 3 consecutive even no.'s is 30 more than the 1st no. of the series. Find the middle no.?
options: A)8 B)12 C)14 D)16 E)18
SOLUTION:Let the numbers be x, x+2 and x+4 then
x + x+2 + x+4 = x+30
3x + 6 = x + 30
2x = 24
\inline \therefore x = 12
\inline \therefore Middle number = x + 2 = 12+2 = 14
C #### C |
QUESTION:The navy pilots are practicing flight formations. 200 pilots are practicing flying in rectangles. They want to make a rectangular formation with X planes in a row and Y planes in a column. If the
number of airplanes in a row is no less than 5 and no more than 40, how many different combinations of rectangular ... |
QUESTION:A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is
options: A)3.34 B)45 C)44 D)33 E)77
SOLUTION:Area of the path = Area of the outer circle - Area of the inner circle = ∏{4/2 + 25/100}2 - ∏[4/2]2
= ∏[2.252 - 22] = ∏(0.25)(4.2... |
QUESTION:Ratio between two numbers is 3: 4 and their sum is 420. Find the smaller number?
options: A)150 B)125 C)140 D)180 E)200
SOLUTION:3x+4x = 420
x=60== 3x=180
ANSWER D #### D |
QUESTION:Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
options: A)299 B)277 C)266 D)992 E)188
SOLUTION:(800*3*3)/100 = 72
920 + 72 = 992
Answer:D #### D |
QUESTION:A bike covers a certain distance at the speed of 68km/h in 8 hrs. If the bike was to cover the same distance in approximately 6 hrs, at what approximate speed should the bike travel?
options: A)85 km/h B)85.34 km/h C)87.67 km/h D)90.66 km/h E)90.64 km/h
SOLUTION:Ans.(D)
Sol. Total distance = 68 × 8 = 544 km
No... |
QUESTION:If 0.5% of A =85 paise, then the value of A is ?
options: A)Rs. 170 B)Rs. 17 C)Rs. 1.70 D)Rs. 4.25 E)None
SOLUTION:Answer
∵ 0.5/100 of A = 85/100
∴ A = Rs. (85 / 0.5) = Rs. 170
Correct Option: A #### A |
QUESTION:The cost of 3 kg of sugar is $30. What will the cost of 8 kg of sugar be?
options: A)20 B)40 C)80 D)160 E)180
SOLUTION:3 kg costs $30
1 kg costs $10
8 kg costs $80
The answer is C. #### C |
QUESTION:How many terminating zeroes T does 200! have?
options: A) 40 B) 48 C) 49 D) 55 E) 64
SOLUTION:You have 40 multiples of 5, 8 of 25 and 1 of 125. This will give 49 zeros.C #### C |
QUESTION:In how many ways can 6 boys and 3 girls be arranged at a table if 3 girls are never together?
options: A)47520 B)45620 C)47888 D)42156 E)43210
SOLUTION:Total ways of arranging 10 person in a circle = 9! = 51840 ways
If we consider three women as one, then we have 6+1=7 persons. Arranging these seven persons in... |
QUESTION:The diagonals of two squares are in the ratio of 2 : 5. Find the ratio of their areas.
options: A)5:25 B)4:25 C)3:15 D)7:15 E)6:15
SOLUTION:Let the diagonals of the squares be 2x and 5x respectively.
Ratio of their areas = (1/2)*(2x) 2:(1/2)*(5x) 2
= 4x2: 25x2
= 4 : 25.
ANSWER B 4:25 #### B |
QUESTION:Sum of Rs.4000 is given out in 2 pieces, one at 8% S.I. and the other at 10% S.I. If the annual interest is Rs 352, the sum is given at 8% is
options: A)2000 B)2200 C)2300 D)2400 E)None of these
SOLUTION:Explanation :
i) Given the total sum = Rs. 4000
If the sum given at 8% be Rs.a
ie) P = a , n=1, R = 8%
(aX1... |
QUESTION:A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
options: A)76 sec B)89 sec C)87 sec D)15 sec E)16 sec
SOLUTION:Speed = 240/24 = 10 m/sec.
Required time = (240 + 650)/10
= 89 sec.
Answer:B #### B |
QUESTION:Workers decided to raise Rs.3lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.25lacs. How many workers were they?
options: A)350 B)400 C)500 D)550 E)590
SOLUTION:N * 50 = (325000 - 300000) = 25000
N = 25000 / 50
= 500
C #### C |
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