subject stringclasses 1
value | question stringlengths 3 1.14k | options listlengths 5 5 | solution stringlengths 18 3.7k | answer stringclasses 5
values |
|---|---|---|---|---|
mathematics | 24 oz of juice P and 25 oz of juice F are mixed to make smothies X and Y . The ratio of p to F in smothie X is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie X? | [
"5",
"10",
"15",
"20",
"25"
] | Easy way to solve this question is start from the answer and then conform the information provided in the question.
we can start from option D i.e 20 ... as a quantity of juice P in X because it is the only one option that gets divided by 4 is 20 ... since in the X the juice P to F ratio is 4:1
this gives us that quant... | D |
mathematics | Three years ago the average age of a family of six members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy? | [
"1",
"4",
"3",
"8",
"6"
] | 6 * 22 = 132
7 * 19 = 133
--------------
1
Answer: A
The answer is: A | A |
mathematics | Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 72 kilometers, Maxwell's walking speed is 6 km/h, and Brad's running speed is 12 km/h. What is the distance traveled by Maxwell when they meet in the m... | [
"14",
"24",
"16",
"18",
"20"
] | Consider Max starts from Point A and Brad Starts from Point B and move towards each other.
Assume they shall meet at point O after Time 'T'. The question asks us to find OA.
From the question stem we can make out :- Distance OA = 50km - Distance OB
=> 6xT = 72 - 12xT (i.e distance =Speed x Time)
=> 18T = 72
Hence T = 4... | B |
mathematics | Find the least number which when divided by 20,25,35 and 40 leaves remainders 14,19,29 and 34 respectively. | [
"1394",
"1294",
"1194",
"1094",
"None of them"
] | Here,(20-14) = 6,(25 – 19)=6,(35-29)=6 and (40-34)=6.
Therefore, Required number = (L.C.M. of 20,25,35,40) – 6 =1394.
Answer is A.
The answer is: A | A |
mathematics | Income and expenditure of a person are in the ratio 8 : 7. If the income of the person is Rs. 40000, then find his savings? | [
"5000",
"6000",
"7000",
"8000",
"9000"
] | Let the income and the expenditure of the person be Rs. 8x and Rs. 7x respectively.
Income, 8x = 40000
=> x = 5000
Savings = Income - expenditure
= 8x - 7x = x
So, savings =Rs.5000.
Answer: A
The answer is: A | A |
mathematics | 135 kg of an alloy A is mixed with 145 kg of alloy B. If alloy A has lead and tin in the ratio 3:5 and alloy B has tin and copper in the ratio 2:3, then the amount of tin in the new alloy is? | [
"100.6kg",
"142kg",
"135kg",
"110.8kg",
"114kg"
] | Quantity of tin in 135kg of A = 135*5/8 = 84kg
Quantity of tin in 145kg of B = 145*2/5 = 58kg
Quantity of tin in the new alloy = 84+58 = 142kg
Answer is B
The answer is: B | B |
mathematics | The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is: | [
"12",
"16",
"24",
"48",
"50"
] | Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4.
So, the numbers 12 and 16.
L.C.M. of 12 and 16 = 48.
answer :D
The answer is: D | D |
mathematics | A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train? | [
"34",
"56",
"72",
"35",
"32"
] | Length = Speed * time
Speed = L/T
S = 400/20
S = 20 M/Sec
Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 72 Kmph
Answer: Option C
The answer is: C | C |
mathematics | Q as a percentage of P is equal to P as a percentage of (P + Q). Find Q as a percentage of P. | [
"62%",
"50%",
"75%",
"66%",
"65%"
] | Explanation :
IF P+Q=62%
ANSWER IS A
The answer is: A | A |
mathematics | The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ? | [
"4",
"5",
"6",
"7",
"8"
] | Let the number off boys in the group originally be x.
Total weight of the boys = 30x
After the boy weighing 35 kg joins the group, total weight of boys = 30x + 35
So 30x + 35 + 31(x + 1) = > x = 4.
Answer: A
The answer is: A | A |
mathematics | When positive integer H is divided by positive integer B, the result is 4.35. Which of the following could be the reminder when H is divided by B? | [
"13",
"14",
"15",
"16",
"17"
] | the remainder will be obtained from the decimal part when H is divided by B i.e. 0.35
0.35 = 35/100 = 7/20 so possible remainders are 7,14,21,28. Only option B-14 satisfies this
PS: for B-14 H=174 and B=40
The answer is: B | B |
mathematics | For what value(s) of n is the following equation satisfied: 2n-6-n = 5n+6-4n | [
"a. -5",
"b. 0 only",
"c. 5/2 only",
"d. No value",
"e. Any value"
] | 2n-6-n = 5n+6-4n
n - 6 = n + 6
-6 = 6, which is false.
So, no n satisfies given equation.
Answer: D.
The answer is: D | D |
mathematics | An article is bought for Rs.695 and sold for Rs.900, find the gain percent? | [
"30 1/3%",
"33 1/3%",
"23 1/3%",
"35 1/3%",
"29 69/139%"
] | E
29 69/139%
695 ---- 205
100 ---- ? => 29 69/139%
The answer is: E | E |
mathematics | A train 140 m long, running with a speed of 63 km/hr will pass a tree in? | [
"18 sec",
"6 sec",
"8 sec",
"15 sec",
"7 sec"
] | Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 140 * 2/35 = 8 sec
Answer:C
The answer is: C | C |
mathematics | The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit? | [
"Rs. 2000",
"Rs. 2200",
"Rs. 2400",
"Data inadequate",
"Cannot be determined"
] | Explanation :
Let the C.P. of the article be Rs. x
Given that % profit earned by selling article at Rs. 1920 = % loss incurred by selling article at Rs. 1280
(1920−x/x)∗100 = (x−1280/x)∗100
=> 1920 - x = x - 1280
=> 2x = 3200
=> x = 1600
S.P. for 25% profit = Rs. 1600 + 25% of Rs. 1600 = Rs. 1600*(125/100) = Rs. 2000
A... | A |
mathematics | What should come in place of the question mark (?) in each of the following questions ?
12 + 22 + 32 + ... + 102 = ? | [
"400",
"625",
"380",
"385",
"370"
] | Explanation :
Sum of the squares of first 'n' natural number = n(n+l)(2n+l)/6 Put n = 10. 10x 11x21/6=55x7=385.
Answer : Option D
The answer is: D | D |
mathematics | A biker covered half the distance between two towns in 2 hr 30 min. After that he increased his speed by 2 km/hr. He covered the second half of the distance in 2 hr 20 min. Find the distance between the two towns and the initial speed of the biker. | [
"140",
"120",
"130",
"150",
"160"
] | Let x km/hr be the initial speed of the biker, then his speed during the second part of the trip is x + 2 km/hr. Half the distance between two cities equals 23060⋅x km and 22060⋅(x+2) km. From the equation: 23060⋅x=22060⋅(x+2) we get x=28 km/hr.
The intial speed of the biker is 28 km/h.
Half the distance between the tw... | A |
mathematics | If p, q, and r are consecutive integers such that p > q > r and the sum of p, q, and r is a multiple of 10, which of the following could be the value of p? | [
"0",
"1",
"9",
"10",
"12"
] | We're given a very specific set of restrictions in this prompt:
1) P, Q and R are CONSECUTIVE INTEGERS
2) P > Q > R
3) P+Q+R = a multiple of 10
We're asked which of the 5 answer COULD be the value of P given these restrictions. Rather than staring at the screen or doing layered math, we canbrute forcethe answers until ... | B |
mathematics | A company has found that when x units of a product are manufactured and sold, its revenue is given by x 2 + 100 x dollars and its costs are given by 240 x + 500 dollars. How many units must be produced and sold to make a profit of 10,000 dollars? (HINT: profit = revenue - costs) | [
"192",
"193",
"194.",
"195",
"196"
] | Let us use profit = revenue - costs to find a formula for the profit P
P = ( x 2 + 100 x ) - ( 240 x + 500 )
Substitute P in the above equation by 10,000 dollars to obtain
10000 = x 2 - 140 x - 500
Write the equation in standard form and solve for x
x 2 - 140 x - 10500 = 0
Solve the above equation for x
x = 194.10 and ... | C |
mathematics | Find the least number of five digits which is exactly divisible by 12, 15 and 18? | [
"1080",
"10080",
"10025",
"11080",
"12000"
] | LCM = 180
180) 10000 (55
9900
---------
100
10000 + 180 - 100 = 10080
ANSWER:B
The answer is: B | B |
mathematics | Set S consists of integers {2,3,4,5}. If two numbers are chosen from set S at random, what is the probability that the product of 2 numbers is more than 10? | [
"1/2",
"1/4",
"2/5",
"3/7",
"1/6"
] | Number of ways you can choose 2 from 4 = 4C2 = 6
E = event of getting the 2 numbers product is more than 10 = (3,4),(3,5),(4,5) = 3
probability = 3/6 = 1/2
Answer is A
The answer is: A | A |
mathematics | A goods train runs at the speed of 72 kmph and crosses a 350 m long platform in 26 seconds. What is the length of the goods train? | [
"230 m",
"140 m",
"160 m",
"170 m",
"None of these"
] | Explanation:
Speed =[ 72 x (5/18) ]m/sec= 20 m/sec.
Time = 26 sec.
Let the length of the train be x metres.
Then,[ (x+350)/26 ]= 20
=> x + 350 = 520
=> x = 170. Answer: D
The answer is: D | D |
mathematics | In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 44, the dividend is? | [
"4320",
"4325",
"4330",
"4884",
"4336"
] | Divisor = (5 * 44) = 220
= 10 * Quotient = Divisor
=> Quotient = 220/10 = 22
Dividend = (Divisor * Quotient) + Remainder
Dividend = (220 * 22) + 44 = 4884
D
The answer is: D | D |
mathematics | What will be the ratio of simple interest earned by certain amount at the same rate of interest for 7 years and that for 11 years? | [
"8 : 11",
"9 : 11",
"7 : 11",
"Data inadequate",
"None of these"
] | Let the principal be P and rate of interest be R%.
∴ Required Ratio = [(P×R×7/100) /(P×R×11/100)]=1PR/11PR=7/11=7:11
Answer D
The answer is: D | D |
mathematics | It takes printer A 4 more minutes more than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take Printer A to print 120 pages? | [
"12",
"18",
"20",
"24",
"36"
] | If it takes 4 more minutes for A to print 40 pages than it takes B,
it takes 5 more minutes for A to print 50 pages than it takes B.
Thus if b is the number of minutes than B takes to print 50 pages,
we can write:
1/b+1/(b+5)=1/6 (since in 1 minute, they print 1/6th of the 50 page job)
6(2b+5)=b(b+5)
b^2-7b-30=0
(b-10)... | E |
mathematics | In a certain game of dice, the player’s score is determined as a sum of four throws of a single die. The player with the highest score wins the round. If more than one player has the highest score, the winnings of the round are divided equally among these players. If Jim plays this game against 26 other players, what i... | [
"41/50",
"1/221",
"1/1296",
"1/84",
"1/42"
] | Toguaranteethat Jim will get some monetary payoff he must score the maximum score of 6+6+6+6=24, because if he gets even one less than that so 23, someone can get 24 and Jim will get nothing.
P(24)=1/6^4=1/1296.
Answer: C.
The answer is: C | C |
mathematics | The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is? | [
"123400 m",
"145500 m",
"153600 m",
"186400 m",
"165700 m"
] | Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.
60
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 x 320) m2 = 153600 m
C
The answer is: C | C |
mathematics | Which of the following is equivalent to the pair of inequalities x + 7 > 10 and x - 1 <= 5 ? | [
"2 < x < 16",
"2 <= x < 4",
"3 < x <= 6",
"4 < x <= 8",
"4 <= x <= 16"
] | Solution:
Let’s isolate x in both inequalities, starting with x + 7 > 10.
x + 7 > 10
x > 3
Next we isolate x in the inequality x – 1 5.
x – 1 <= 5
x <= 6
Bringing these two inequalities together we know:
3 < x <= 6
The answer is C.
The answer is: C | C |
mathematics | What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent? | [
"288",
"500",
"299",
"2766",
"2912"
] | 70 = (P*4*7/2)/100
P = 500.Answer: B
The answer is: B | B |
mathematics | Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed musthe travel to reach A at 1 PM? | [
"8 kmph",
"10 kmph",
"12 kmph",
"14 kmph",
"16 kmph"
] | Let the distance travelled by x km.
Then, x - x = 2
10 15
3x - 2x = 60
x = 60 km.
Time taken to travel 60 km at 10 km/hr = 60 hrs = 6 hrs.
10
So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.
Required speed = 60 kmph. = 12 kmph.
5
C
The answer is: C | C |
mathematics | If the compound interest on a certain sum of money for 6 years at 10% per annum be Rs. 993, what would be the simple interest? | [
"Rs. 880",
"Rs. 890",
"Rs. 1800",
"Rs. 900",
"None"
] | Let P = Principal
A - Amount
We have a = P(1 + R/100)3 and CI = A - P
ATQ 993 = P(1 + R/100)3 - P
? P = 3000/-
Now SI @ 10% on 3000/- for 6 yrs = (3000 x 10 x 6)/100
= 1800/-
Answer: C.
The answer is: C | C |
mathematics | The average of eleven ten prime numbers which are odd is? | [
"17.72",
"18.52",
"19.63",
"16.53",
"15.63"
] | Explanation:
Sum of first 11 prime no. which are odd = 195
Average = 195/11 = 17.72
Answer:A
The answer is: A | A |
mathematics | A reduction of 24% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg? | [
"2.8",
"3.2",
"2.5",
"2.1",
"2.9"
] | 100*(24/100) = 24 --- 10
? --- 1 => Rs.2.4
100 --- 76
? --- 2.4 => Rs.3.2
Answer: B
The answer is: B | B |
mathematics | Three medical experts, working together at the same constant rate, can write an anatomy textbook in 32 days. How many additional experts, working together at this same constant rate, are needed to write the textbook in 24 days? | [
"1",
"2",
"3",
"4",
"5"
] | Each expert can write 1/96 of the book per day.
To complete the book in 24 days, we need 96/24 = 4 experts, thus 1 more expert is needed.
The answer is A.
The answer is: A | A |
mathematics | An bus covers a certain distance at aspeed of 150 kmph in 5 hours. To cover the same distance in 1hr, it must travel at a speed of? | [
"560 km/h",
"450 km/h",
"779 km/h",
"723 km/h",
"720 km/h"
] | Distance = (150 x 5) = 750 km.
Speed = Distance/Time
Speed = 750/(5/3) km/hr. [We can write 1 hours as 5/3 hours]
Required speed = 750 x 3/5 km/hr = 450 km/hr.
B
The answer is: B | B |
mathematics | The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent? | [
"78 2/11%",
"18 2/11%",
"88 2/11%",
"58 2/11%",
"68 2/11%"
] | Explanation:
13 CP = 11 SP
11 --- 2 CP
100 --- ? =>18 2/11%
Answer:B
The answer is: B | B |
mathematics | In an intercollegiate competition that lasted for 3 days, 150 students took part on day 1, 110 on day 2 and 140 on day 3. If 75 took part on day 1 and day 2 and 25 took part on day 2 and day 3 and 15 took part on all three days, how many students took part only on day 2? | [
"50",
"35",
"45",
"25",
"60"
] | Day 1&2 = 75; Only Day 1&2 (75 -15) = 60,
Day 2&3 = 25; Only Day 2&3 (25 -15) = 10,
Only Day 2 = 110 - (60+10+15) = 25
Answer:D
The answer is: D | D |
mathematics | A student multiplied a number by 3/5 instead of 5/3. What is the percentage error. | [
"64%",
"65%",
"66%",
"67%",
"None of these"
] | Explanation:
Let the number be x,
then,
5/3−3/5=16/15x
Error% =
(16/15x∗3/5∗100)
Option A
The answer is: A | A |
mathematics | Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times ... | [
"22 min",
"30 min",
"87 min",
"26 min",
"11 min"
] | Explanation:
Distance travelled by Ramu = 45 x 4 = 180 km
Somu travelled the same distance in 6 hours.
His speed = 180/6 = 30 km/hr
Hence in the conditional case, Ramu's speed = 45 - 9 = 36 km/hr and Somu's speed = 30 + 10 = 40km/hr.
Therefore travel time of Ramu and Somu would be 5 hours and 4.5 hours respectively.
He... | B |
mathematics | A and B can do a piece of work in 8 days. With the help of C they finish the work in 4 days. C alone can do that piece of work in? | [
"40 days",
"20 days",
"8 days",
"60 days",
"40 days"
] | C
8 days
C = 1/4 – 1/8 = 1/8 => 8 days
The answer is: C | C |
mathematics | 24 oz of juice P and 25 oz of juice V are mixed to make smothies E and Y . The ratio of p to V in smothie E is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie E? | [
"5",
"10",
"15",
"20",
"25"
] | The ratio of p to V in smothie E is 4 is to 1 and that in Y is 1is to 5. p1 + p2 = 24
v1 + v2 = 25
p1 = 4v1
p2 = v2/5
4v1 + v2/5 = 24
v1 + v2 = 25
4v2 - v2/5 = 76
19v2/5 = 76 => v2 = 20
=> v1 = 5
=> p1 = 20
Answer - D
The answer is: D | D |
mathematics | Solve the equation for x : 6x - 87 + 3x = 4 + 9 - x | [
"12",
"5",
"10",
"9",
"3"
] | C
10
9 x + x = 13 + 87
10 x = 100 => x = 10
The answer is: C | C |
mathematics | The average weight of a group of 30 friends increases by 10 kg when the weight of additional 30 friends was added. If average weight of the whole group after including the additional 30 members is 40 kg, what is the average weight of the additional friends? | [
"50 kg",
"60 kg",
"61 kg",
"62 kg",
"91 kg"
] | let a=avg. wt. of additional 30 friends
original total weight=(30 friends)(30 kg avge)=900kg
(900+30a)/(30+30)=40 kg avge
a=50 kg
Answer - A
The answer is: A | A |
mathematics | A trader purchased two colour televisions for a total of Rs. 35000. He sold one colour television at 30% profit and the other 40% profit. Find the difference in the cost prices of the two televisions if he made an overall profit of 32%? | [
"Rs. 21000",
"Rs. 17500",
"Rs. 19000",
"Rs. 24500",
"None of these"
] | Let the cost prices of the colour television sold at 30% profit and 40% profit be Rs. x and Rs. (35000 - x) respectively.
Total selling price of televisions = x + 30/100 x + (35000 - x) + 40/100 (35000 - x)
=> 130/100 x + 140/100 (35000 - x) = 35000 + 32/100 (35000)
x = 28000
35000 - x = 7000
Difference in the cost pri... | A |
mathematics | What is the two-digit number?
I. Sum of the digits is 7.
II. Difference between the number and the number obtained by interchanging the digits is 9.
III. Digit in the ten's place is bigger than the digit in the unit's place by 1. | [
"I and II",
"II and III",
"I and III only",
"All",
"I and II as well as I and III"
] | Answer: Option E
Explanation:
Let the tens and units digit be x and y respectively.
I. x + y = 7.
II. (10x + y) - (10y + x) = 9 x - y = 1.
III. x - y = 1.
Thus, I and II as well as I and III give the answer.
Correct answer is (E).
The answer is: E | E |
mathematics | The amount of electrical current that flows through a wire is inversely proportional to the resistance in that wire. A wire originally carries 4 amperes of electrical current. Then the resistance is reduced to one-sixth of its original value. How many amperes of electrical current will flow through the wire? | [
"2/3",
"4",
"16",
"24",
"32"
] | Given that, I∝1/R, I*R is a constant value.
I1*R1 = I2*R2
I1*R1 = I2*R1/6
I2 = 6*I1 = 24 amperes
The answer is D.
The answer is: D | D |
mathematics | The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money? | [
"22",
"6",
"17",
"10",
"88"
] | 7*5: 5*x = 7:10
x = 10
Answer:D
The answer is: D | D |
mathematics | In what time a sum of money double itself at 8% per annum simple interest? | [
"33 1/8%",
"33 1/3%",
"83 1/3%",
"33 4/3%",
"12 1/2%"
] | P = (P*8*R)/100
R = 12 1/2%
Answer:E
The answer is: E | E |
mathematics | Sneh's age is 1/6th of her father's age. Sneh's father's age will be twice of Vimal's age after 10 years. If Vimal's eighth birthday was celebrated two years before, what is Sneh's present age? | [
"24 years",
"30 years",
"6 2/3 years",
"32 years",
"None of these"
] | Vimal's age after 10 years = (8+2+10)years
= 20 years.
Sneh's father age after 10 years = 40 years (Twice than Vimal's age after 10yr)
Sneh's father Present age = 30 years (40yrs -10yrs)
Therefore Sneh's age = (1/6 * 30)years
= 5 years.
ANSWER:E
The answer is: E | E |
mathematics | When all the students in a school are made to stand in rows of 50, 25 such rows are formed. If the students are made to stand in rows of 30, how many such rows will be formed ? | [
"41",
"36",
"38",
"19",
"21"
] | Explanation:
Total number of students = 50 x 25
When arranged in rows of 30, number of rows formed are,
= 41.
Answer: A
The answer is: A | A |
mathematics | In one hour a boat goes 22 km long the stream and 12 km against the stream.The speed of the boat in still water is? | [
"17",
"18",
"16",
"15",
"11"
] | Speed in still water A = ½ ( 22+12) km/hr A= 17 kmph
Answer: A
The answer is: A | A |
mathematics | The average of first 10 natural numbers is? | [
"4.9",
"5.5",
"2.7",
"5.1",
"2.5"
] | Explanation:
Sum of 10 natural no. = 110/2 = 55
Average = 55/10 = 5.5
Answer:B
The answer is: B | B |
mathematics | A cyclist covers a distance of 750 m in 2 min 30 sec. What is the speed in km/hr of the cyclist? | [
"9km/hr",
"7km/hr",
"12km/hr",
"15km/hr",
"18km/hr"
] | Speed = { 750 } m/sec =5 m/sec = { 5 * 18 } km/hr =18km/hr
Ans:E
The answer is: E | E |
mathematics | Five friends, Peter, Eric, Melyssa, Tony, and Carl, are pooling their money to buy a $1300 item. Peter has twice as much money as Melyssa. Tony has $60 more than Peter. Carl has 20% more than Tony and Eric has twice as much as Peter. If they put all their money together and spend the $1300, they will have $38 left. How... | [
"$300",
"$270",
"$320",
"$350",
"$220"
] | P= 2M ; T= P+60 ; C= 1.2(T); P=(E/2)
P+M+T+C+E-1300=38
P+0.5P+P+60+1.2(P+20)+2P = 1338
P+0.5P+P+60+1.2P+24+2P = 1338
P+0.5P+P+1.2P+2P+84 = 1338
P+0.5P+P+1.2P+2P = 1254
5.7P = 1254
P=220
Answer:E
The answer is: E | E |
mathematics | If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is? | [
"125 m",
"104 m",
"140 m",
"152 m",
"150 m"
] | D = 90 * 5/18 * 5 = 125 m
ANSWER A
The answer is: A | A |
mathematics | An bus covers a certain distance at a speed of 240 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of? | [
"600 km/hr",
"720 km/hr",
"730 km/hr",
"750 km/hr",
"760 km/hr"
] | Distance = (240 x 5) = 1200 km.
Speed = Distance/Time
Speed = 1200/(5/3) km/hr. [We can write 1 hours as 5/3 hours]
Required speed = 1200 x 3 km/hr = 720 km/hr.
B
The answer is: B | B |
mathematics | A polling company found that, of 300 households surveyed, 120 spent at least $100 per month on both gasoline and electricity, 60 spent at least $100 per month on gasoline but not on electricity, and for every household that did not spend at least $100 per month on gasoline or electricity, 4 spent at least $100 per mont... | [
"24",
"30",
"36",
"90",
"96"
] | For every household that did not spend at least $100 per month on gasoline or electricity = P ,
4 spent at least $100 per month on electricity but not on gasoline = 4P
Spent = 300 - P
again spent = 60+120+4P
Now,
300 - P = 60+120+4P
or, 5P = 120
or, P = 24 (Answer)
The answer is: A | A |
mathematics | sowdharya had 90 currency notes in all, some of which are of Rs 95 denomination and the remaining of Rs 45 denomination. The total amount of all these currency notes was Rs. 5000. How much amount (in Rs) did she have in the denomination of Rs 45? | [
"75",
"72",
"71",
"76",
"73"
] | Let the number of 45-rupee notes = x
Then, the number of 95-rupee notes = (90 – x)
45x + 95(90 – x) = 5000 : x = 71
ANSWER:C
The answer is: C | C |
mathematics | How long does a train 110 meters long running at the speed of 72 km/hour take to cross a bridge 132 meters in length ? | [
"22.1 seconds",
"12.1 seconds",
"17.1 seconds",
"12.9 seconds",
"11.1 seconds"
] | Speed = 72 km/hour = 72*(5/18) m/sec
= 20 m/sec
Total distance to be covered = 110+132 = 142 meters
Time = Distance/Speed
= 242/20 = 12.1 seconds
Answer: B
The answer is: B | B |
mathematics | In the following sequence: [x, y, z, 5, 7, 16, 28] each number is equal to the sum of the three numbers succeding it. What is x+y? | [
"113",
"213",
"163",
"213",
"131"
] | lets start from z, as per the question stem
z =5+7+16 =28
-->> z= 28
similarly, y =28+5+7
--> y = 40
similarly,, x =40+28+5
--> x =73
hence , x+y =73+40 = 113 --> x+y=113
ANSWER:A
The answer is: A | A |
mathematics | In the xy-coordinate plane, the graph of y = -x^2 + 9 intersects line L at (p,4) and (t,-7). What is the least possible value of the slope of line L? | [
"6",
"2",
"-2",
"-6",
"-5.5"
] | We need to find out the value of p and L to get to the slope.
Line L and Graph y intersect at point (p,5). hence, x= p and Y=5 should sactisfy the graph. soliving
5 = -p2 +9
p2 = 4
p = + or - 2
simillarly point (t,-7) should satisfy the equation. hence x=t and Y=-7.
-7 = -t2+9
t = +or - 4
considering p = -2 and t =4, t... | E |
mathematics | If P * Q implies (P2 + Q2), 8 * (3 * 2) = ? | [
"239",
"278",
"233",
"2697",
"771"
] | Explanation:
We have, P * Q = (P2 + Q2) ......... Given
8 * (3 * 2) = ?
8 * 13 = (64 +169) = 233
ANSWER: C
The answer is: C | C |
mathematics | In a workshop there are 4 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one closet, one bed and one of the following: a chair or a shelf? | [
"A)168.",
"B)80.",
"C)56.",
"D)108.",
"E)16."
] | ways to select one closet = 3
ways to select one bed = 4
ways to select one of the following: a chair or a closet = 7+2 = 10
ways to select all of them together = 3*4*9 = 108
Answer : D
The answer is: D | D |
mathematics | What is the sum of the different positive prime factors of 380? | [
"5",
"10",
"15",
"17",
"26"
] | Prime factorization of 380
=38 * 10
=2*19 * 10
=2*19 * 2*5
=2^2 * 5 * 19
Sum of the different positive prime factors of 380 = 2+5+19
=26
Answer E
The answer is: E | E |
mathematics | A train starts from Delhi at 6.00 a.m. and reaches Meerut at 10 a.m. The other train starts from Meerut at 8 a.m. and reaches Delhi at 11.30 a.m. If the distance between Delhi and Meerut is 200 km, then at what time did the two trains meet each other? | [
"8.56 a.m",
"8.46 a.m",
"7.56 a.m",
"8.30 a.m",
"None of these"
] | The Speed of the train starting from Delhi = 200/4 = 50 km/h
The Speed of train starting from Meerut = 200/3.5 = 400/7 km/h
Suppose the two trains meet x hours after 6.00 am
Then x X 50 + (x - 2) x 400/7 = 200
or, 350x + 400x - 800 = 1400
or, 750x = 2200
or, x = 2200/750 = 2h 56 min
Hence, the required time = 8.56 am
A... | A |
mathematics | Two trains 140 m and 200 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is? | [
"10.9 sec",
"8.64 sec",
"53.8 sec",
"10.8 sec",
"10.4 sec"
] | Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
Distance covered in crossing each other = 140 + 200 = 240 m.
Required time = 240 * 9/250 = 8.64 sec.
Answer: B:
The answer is: B | B |
mathematics | Complete the sequence:
B D H N ? | [
"M",
"V",
"S",
"D",
"Z"
] | B+2=D
D+4=H
H+6=N
B+8=V
B
The answer is: B | B |
mathematics | If a certain sample of data has a mean of 31.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean? | [
"(27.0; 36.5)",
"(24.5; 38.0)",
"(28.0; 32.5)",
"(26.5; 35.0)",
"(29.0; 32.5)"
] | The standard deviation is 2, so 2.5 standard deviations would be (2.5)(2) = 5.
The values between 26 and 36 are within 2.5 standard deviations from the mean.
The answer is B.
The answer is: B | B |
mathematics | xy+yz=63
xz+yz=23
find x+y+z ? | [
"23",
"24",
"25",
"26",
"27"
] | take z as common term in second equation
ie z(x+y)=23
now as 23 is prime no therefore its factors must be 1 and 23.
now as x,y,z is integer no therefore z= 1 as sum of two integer cannot be equal to 1.
=> z= 1 and x + y = 23
therefore x+y+z = 1 + 23 = 24.
ANSWER:B
The answer is: B | B |
mathematics | If 5 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is? | [
"8:5:4",
"8:5:18",
"8:5:12",
"8:5:14",
"8:5:11"
] | 5A = 8B = 10 C
A:B:C = 1/5:1/8:1/10
= 8:5:4
Answer: A
The answer is: A | A |
mathematics | In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 30,870,000, how many red beads were removed? | [
"1",
"2",
"3",
"4",
"5"
] | 30,870,000
= 2^4 * 5^4 * 3087
= 2^4 * 3 * 5^4 * 1029
= 2^4 * 3^2 * 5^4 * 343
= 2^4 * 3^2 * 5^4 * 7^3
The answer is C.
The answer is: C | C |
mathematics | A can do a work in 6 days. B can do the same work in 8 days. Both A&B together will finish the work and they got $1000 from that work. Find their shares? | [
"600,400",
"600,800",
"300,700",
"800,200",
"550,450"
] | Ratio of their works A:B = 6:8
Ratio of their wages A:B = 3:4
A's share = (3/5)1000 = 600
B's share = (4/5)1000 = 800
correct option is B
The answer is: B | B |
mathematics | On a game show, a contestant spins three four wheels; each wheel is numbered 1 to 7. What is the probability that the contestant will spin all tens? | [
"1/2401",
"2/5",
"1",
"9",
"63"
] | All 7s:
1st wheel = 7= 1/7
2nd wheel = 7 = 1/7
3rd wheel = 7 = 1/7
4th wheel = 7 = 1/7
(1/7)(1/7)(1/7)(1/7) = 1/2401
Answer: A
The answer is: A | A |
mathematics | A and B together can do a work In 4 days. A alone can do it in 12 days. What time B will take to do the work alone? | [
"6 days",
"8 days",
"12 days",
"10 days",
"5 days"
] | Explanation:
A and B 1day's work = 1/6
A alone can do 1day's work = 1/12
what time B will take to do the work alone?
B = (A+B) - A = (1/6) - (1/12) = 12 Days
Answer: Option C
The answer is: C | C |
mathematics | A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire? | [
"6",
"7",
"8",
"9",
"10"
] | Volume of the wire (in Cylindrical shape) is equal to the volume of the sphere.
π(16)2 * h = (4/3)π (12)3 => h = 9 cm
Answer: Option E
The answer is: E | E |
mathematics | A student has to select 3 subject out of 6 subjects M,B,H,U,L. If he has chosen M, what is the probability of B being chosen ? | [
"2/5",
"1/5",
"3/5",
"7/5",
"None of these"
] | Explanation :
Out of 6 subjects, one subject M has already been chosen. Ramaining 2 subjects are to be choden from rest (6-1) i.e 5 subjects.
Without restriction, no. of selections = 5C2.
With restriction, no. of selection of B from rest 4 subject = 4C1.
=> Probability
= Selections with restriction / Selections without... | A |
mathematics | Three cards are drawn successively, without replacement from a pack of 52 well shuffled cards.
What is the probability that first two cards are queens and the third card drawn is an ace? | [
"2/5525",
"3/5525",
"2/5525",
"2/5526",
"4/5525"
] | Let Q denote the event that the card drawn is queen and A be the event that
the card drawn is an ace. Clearly, we have to find P (QQA)
Now P(Q) = 4/52
Also, P (Q|Q) is the probability of second queen with the condition that one queen has
already been drawn. Now there are three queen in (52 - 1) = 51 cards.
Therefore P(... | A |
mathematics | Find the average marks of all the students in 2 separate classes, if the average marks of students in the first class of 58 students is 67 and that of another class of 52 students is 82. | [
"74.1",
"56.3",
"67.8",
"79.7",
"19.4"
] | Sum of the marks for the class of 58 students = 58 * 67 = 3886
Sum of the marks for the class of 52 students = 52 * 82 = 4264
Sum of the marks for the class of 110 students =
3886 + 4262 = 8150
Average marks of all the students = 4200/80
= 74.1
Answer:A
The answer is: A | A |
mathematics | There are 12 balls in a jar: 6 red, 2 blue and 4 green. If a single ball is drawn from the jar, what is the probability of that it is either blue or red? | [
"1/12",
"1/4",
"1/2",
"2/3",
"3/4"
] | Blue + Red =8
Total number of balls is 6+2+4=12
So the answer is 8/12=2/3
Answer D
The answer is: D | D |
mathematics | In a certain code language, '3a, 2b, 7c' means 'Truth is Eternal';
'7c, 9a, 8b, 3a' means 'Enmity is not Eternal' and
'9a, 4d, 2b, 8b' means 'Truth does not perish'.
Which of the following means 'enmity' in that language ? | [
"3",
"9",
"8",
"6",
"2"
] | Explanation:
Justification:
In the second and third statements, the common code is '9a' and the common word is 'not'.
So, '9a' means 'not'.
In the first and second statements, the common codes are '7c' and '3a' and the common words are 'is' and 'Eternal'.
So, in the second statement, '8b' means 'enmity'.
Answer: C) 8b
... | C |
mathematics | The price of commodity X increases by 40 cents every year, while the price of commodity Y increases by 15 cents every year. In 2001, the price of commodity X was $4.20 and the price of commodity Y was $6.30. In which year will the price of commodity X be 15 cents more than the price of commodity Y? | [
"2010",
"2011",
"2012",
"2013",
"2014"
] | The price of commodity X increases 25 cents each year relative to commodity Y.
The price difference is $2.10 and commodity X needs to be 15 cents more than commodity Y.
$2.25 / 25 cents = 9 years
The answer is 2001 + 9 years = 2010.
The answer is A.
The answer is: A | A |
mathematics | A certain business produced x rakes each month form November through February and shipped x/2 rakes at the beginning of each month from March through October. The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.50 per rake each month from March through Octobe... | [
"0.40x",
"1.20x",
"1.40x",
"1.60x",
"3.20x"
] | because we have a total of 4X
Also from Mar- Oct the rakes will be deducted by 1/8 X
so
In Apr they pay for the storage 0.5 * 4X * 7/8
In May they pay for the storage 0.5 * 4X * 6/8
In Jun they pay for the storage 0.5 * 4X * 5/8
In Jul they pay for the storage 0.5 * 4X * 4/8
In Aug they pay for the storage 0.5 * 4X * 3... | D |
mathematics | The product of the squares of two positive integers is 9. How many pairs of positive integers satisfy this condition? | [
"0",
"1",
"2",
"3",
"4"
] | Ans:B - 1 pairs
(xˆ2)(yˆ2) = 9 [square root both sides]
xy = 3
3 = 1x3, 3x1
Cancel the repeats
This leaves us with exactly 1 options.
Hence, B
The answer is: B | B |
mathematics | In a question on division with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is/ | [
"20",
"22",
"24",
"26",
"27"
] | Number = (35 * 12) = 420
Correct quotient = 420/21 = 20
A)
The answer is: A | A |
mathematics | The average earning of amechanic for the first 4days of a week is Rs.53 and for the last four days is Rs.22. If heearns Rs.20 on the fourth day, his average earning forthe whole week is? | [
"s. 10",
"s. 20",
"s. 30",
"s. 40",
"s. 50"
] | Total earning for the week = Sum of earning of first four days + Sum of earning of last four days - Earning of 4th day
= 4 x 53 + 4 x 22 -20
= Rs. 280
∴ Average earning = 280/ 7
= Rs. 40
D
The answer is: D | D |
mathematics | If I walk at 5 km/h, I miss the bus by 12 minutes. If I walk at 6 km/h, I reach 15 minutes before the arrival of the bus. How far I walk to reach the bus stand ? | [
"11.0 km",
"13.8 km",
"11.5 km",
"12.5 km",
"13.5 km"
] | d = product of speed difference of time /difference of speed
d = 5x6/60[12−(−15)/6-5]
[Here, –ve sign indicates before the schedule time]
⇒ d = 13.5 km
Answer E
The answer is: E | E |
mathematics | A case contains c cartons. Each carton contains b boxes, and each box contains 400 paper clips. How many paper clips are contained in 2 cases? | [
"400bc",
"400b/c",
"800bc",
"800b/c",
"800/bc"
] | 2 cases * c cartons/case * b boxes/carton * 400 clips/box = 800bc paper clips
The answer is C.
The answer is: C | C |
mathematics | A man can row upstream at 25 kmph and downstream at 45 kmph, and then find the speed of the man in still water? | [
"65",
"86",
"35",
"78",
"38"
] | US = 25
DS = 45
M = (45 + 25)/2
= 35
Answer: C
The answer is: C | C |
mathematics | In a group of 25 factory workers, 13 have brown eyes. Six of the women do not have brown eyes. How many of the 11 men have brown eyes. | [
"10",
"9",
"8",
"7",
"5"
] | Total number of worker (M+W): 25
No. of men (M): 11 (Inferred fromHow many of the 11 men)
No. of women (W): 14
Total no. of workers who have brown eyes (B): 13
No. of women who do not have brown eyes: 6
Therefore, no. of women who have brown eyes: W - 6 = 14 - 6 = 8
Remaining 5 are men. (B - 8= 13 - 8= 5)
So 5 out of 1... | E |
mathematics | a man have 4 goat,2 sheep and 3 buffalo.he have to take three cattle out one each.with two available door.in how many ways he can out three cattle? | [
"72",
"12",
"36",
"48",
"24"
] | from, fundamental principle of calculate
simple,4*2*3*2=48ways
answer D
The answer is: D | D |
mathematics | Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 8 sec. What is the length of the fast train? | [
"27 7/6",
"277/5",
"27 7/2",
"400/9",
"27 7/1"
] | Relative speed = (40 - 20) = 20 km/hr.
= 20 * 5/ 18 = 50/9 m/sec.
Length of faster train = 50/9 * 8 = 400/9
= 27 7/9 m.
Answer:D
The answer is: D | D |
mathematics | When 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in favor of the resolution. What fraction w of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution? | [
"11/14",
"13/18",
"4/7",
"3/7",
"3/14"
] | If we use variable for total votes there will be too many fractions to manipulate with, so pick some smart #: let set total # of votes is 18.
2/9 of the votes on a certain resolution have been counted--> 4 counted and 18-4=14 votes left to be counted;
3/4 of those counted are in favor of the resolution--> 3 in favor an... | A |
mathematics | The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.14000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is | [
"20",
"21",
"22",
"23",
"28"
] | Solution
Let the toatl number of workers be x.
Then 8000x=(14000 x 7) + 6000 (x -7)
x= 28.
Answer E
The answer is: E | E |
mathematics | . A car covers a distance of 742 km in 7 hours. Find its speed? | [
"104",
"55",
"148",
"150",
"159"
] | 742/5 = 148 kmph
Answer: C
The answer is: C | C |
mathematics | The ratio between the presents of the A and B is 2:3. If B is 5 years older than A, what will be the ratio of the ages of A and B after 5 years? | [
"3:4",
"1:2",
"2:3",
"5:6",
"1:3"
] | Let A and B ages will be 2x and 3x
3x - 2x = 5
x = 5
Required ratio = 2x+5 : 3x+5 = 15:20 = 3:4
Answer is A
The answer is: A | A |
mathematics | At what time between 5 and 6 o' clock are the hands of a 3 minutes apart ? | [
"24min",
"44min",
"14min",
"21min",
"74min"
] | In this type of problems the formuae is
(5*x+ or - t)*12/11
Here x is replaced by the first interval of given time. Here x is 5.
t is spaces apart
Case 1 : (5*x + t) * 12/11
(5*5 + 3) * 12/11
28 * 12/11 = 336/11= min
therefore the hands will be 3 min apart at 31 5/11 min past 5.
Case 2 : (5*x - t) * 12/11
(5*5 -3 ) * 1... | A |
mathematics | Can you replace the question mark with the correct number, given the pair of numbers exhibits similar relationship?
? : 3839 :: 11 : 1209 | [
"6",
"16",
"26",
"36",
"46"
] | Formular used :
pow(x,3) - pow(x,2) - 1
11*11*11 - 11*11 - 1
1331 - 121 - 1
1209
Similarly, we can solve
pow($x,3) - pow($x,2) - 1 = 3839
This condition holds true for number-16.
correct answer is B)16
The answer is: B | B |
mathematics | (0.15)(power 3) - (0.1)(power 3)/ (0.15)(power 2) + 0.015 + (0.1)(power 2) is: | [
"0.68",
"0.08",
"0.05",
"0.06",
"None of them"
] | Given expression
= (0.15) (power 3) - (0.1)(power 3) / (0.15)(power 2) + (0.15 x 0.1) + (0.1)(power 2)
= a (power 3) - b(power 3) / a(power 2) + ab + b(power 2)
= (a - b)
= (0.15 - 0.1)
= 0.05
Answer is C.
The answer is: C | C |
mathematics | When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k + n is a multiple of 70. | [
"3",
"4",
"12",
"32",
"35"
] | First, let us say I have a number n which is divisible by 5 and by 7. We all agree that it will be divisible by 35, the LCM of 5 and 7.
Now, if I have a number n which when divided by 5 gives a remainder 1 and when divided by 7 gives a remainder 1, we can say the number is of the form
n = 5a + 1 e.g. 5 + 1, 10 + 1, 15 ... | D |
mathematics | A bat is bought for Rs.400 and sold at a gain of 20% find its selling price | [
"Rs.430/-",
"Rs.480/-",
"Rs.400/-",
"Rs.580/-",
"Rs.600/-"
] | 100 % ------> 400 (100 * 4 = 400)
120 % ------> 480 (120 * 4 = 480)
Selling price = Rs.480/-
B
The answer is: B | B |
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