If A varies jointly as B and the cube of C when A = 200 when B = 5 and C = 2. Find A when B = 6 and C = 3?
(a) 810 (b) 950 (c) 1070 (d) 1160
What is the value of (10101)2 in decimal number system?
(a) 42 (b) 18 (c) 20 (d) 21
What is X if 8–1 * X = (–4)–1?
(a) 2 (b) 1 (c) – 2 (d) – 1
A rectangle’s length is four times its breadth. It has an area of 2500 square yards. What is the length of the rectangle?
(a) 25 yards (b) 100 yards
(c) 625 25 yards (d) 5 yards
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If the difference of two numbers is 8 and the difference of their squares is 160, then the numbers are
(a) 18, 10 (b) 8, 16
(c) 6, 14 (d) None of the above
Find the value of log1 + log2 + log3.
(a) 1 (b) 2 (c) 3 (d) None of these
Write (625)10 as a number, in the number system with base 8.
(a) 9161 (b) 1161 (c) 19161 (d) 1061
The value of log abc a3b3c3 is
(a) abc (b) a3 (c) 3 (d) 27
A bag contains orange flavored candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out an orange flavored candy?
(a) 0 (b) 1/2 (c) 1/3 (d) 1
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If I have kept six different books on a shelf, in how many different ways can I arrange them?
(a) 6 (b) 24 (c) 120 (d) 720
Find the smallest number that should be multiplied with 54000 to make it a perfect cube.
(a) 4 (b) 27 (c) 5 (d) 3
What is the remainder of 825 is divided by 7?
(a) 25 (b) 8 (c) 1 (d) 0
If a ball is drawn at random from a box containing 6 red, 4 blue, and 5 white balls. What is the probability that the ball drawn is red or blue?
(a) 1/3 (b) 2/3 (c) 7/15 (d) 2/5
A bag contains 6 yellow balls, 3 red balls, and 2 green balls. In how many ways can 5 balls be drawn from the bag if at least one yellow ball is to be included in the draw?
(a) 464 (b) 463 (c) 462 (d) 461
28 x 22 =
(a) 410 (b) 210 (c) 216 (d) 416
A boat takes a circular route to travel a total distance of 24 km to reach its initial position. The speed of the boat in still water is 5 km/hr and the speed of the stream is 3 km/hr. How much time(in hours) does the boat travel upstream and downstream respectively?
(a) 12, 3 (b) 3, 12 (c) 5, 3 (d) 3, 5
An unbiased coin is tossed 5 times. If tail appears on first four tosses, then the probability of tail appearing on the fifth toss is
(a) 1/2 (b) 1 (c) 0 (d) 4/5
In a non-leap year, what is the probability that the last day of the year stars with a ‘T’?
(a) 4/7 (b) 1 (c) 0 (d) 2/7
Varun is guessing which of the 2 hands holds a coin. What is the probability that Varun guesses correctly three times in a row?
(a) (1/6) (b) (1/2) (c) (1/4) (d) (1/8)
A pie has to be divided amongst few kids. Puneet gets a 2/7th portion of the pie and Sheela gets a 5/8th portion of the pie. Who amongst the two gets a lesser share?
(a) Puneet (b) Sheela
(c) Both get an equal share (d) Cannot be determined
A multiplex conducted a random survey of the movie-goers to determine their preference in movies. Of the 50 people surveyed, 35 preferred comedies. What is the probability that any given movie-goer will buy a ticket of the comedy movie?
(a) 7/10 (b) 3/10 (c) Cannot be determined
Paul can complete a project in 6 days. With the help of an intern, he can do it in 4 days. In what time can the intern complete the project alone?
(a) 6 days (b) 6 1/4 days
(c) 12 days (d) 12 ½ days
Suparna needs to browse through 75 pages of a novel before she gives her review to the class. She has 2.5 hours before the lecture. What should be her reading speed in pages/hour?
(a) 16 (b) 30 (c) 20 (d) 22
The value of 361 raised to the power log195 is
(a) 5 (b) 19 (c) 25 (d) 95
Write √1008 as a mixed surd.
(a) 12√7 (b) 7√14 (c) 7√12 (d) 7√13
If the product of two co-prime numbers is 1599, then find the LCM of these numbers.
(a) 1 (b) LCM will be equal to HCF
(c) 1599 (d) LCM cannot be calculated
What is the square root of 576/9?
(a) 4 (b) 8 (c) 12 (d) 16
Find the greatest number that divides 42, 90 and 182 so as to leave the same remainder in each case.
(a) 2 (b) 4 (c) 7 (d) 9
What will be the value of x in the expression?
[722 – 282 = 50x](a) 44 (b) 46 (c) 86 (d) 88
Mauli purchased a designer saree from Mumbai at 8/9th of its MRP. When she came back to Delhi, her neighbor coaxed Mauli to sell the saree to her. She was even ready to pay 9% more than its MRP. What would Mauli’s gain percentage be, if she decides to sell the saree to her neighbor?
(a) 15.59% (b) 16.61% (c) 20.36% (d) 22.65%
What is the value of x in the expression log10 (20 × x) = 3?
(a) 500 (b) 50 (c) 2/100 (d) 30/20
(e) 3/20
If mn = 2401, then m/n =
(a) 4/7 (b) 7/4 (c) 11/3 (d) 4/11
If by selling 10 papayas, the cost price of 8 papayas is realized, then the loss percent is
(a) 20% (b) 10% (c) 8% (d) 2%
The value of (1/512)1/9 is
(a) 1/2 (b) 1/3 (c) 1/4 (d) 1/6
Out of 9 people waiting for their turns for an interview, in how many ways can a selection for 4 be made if 1 particular person is always selected?
(a) 8P3 (b) 9P4 – 1P1 (c) 9P4
(d) 8C3 (e) 8P4
If log X(1/343) = – 3, then the value of x is equal to
(a) 3 (b) 7 (c) – 7 (d) – 3
What is the value of the square of 71/2, when it is expressed as a mixed fraction?
(a) 491/2 (b) 491/4 (c) 561/4 (d) 141/4
In a class of 50 students, the average age of girls is 12.3 years and that of boys is 12.5 years. If the average age of the class is 12.42 years, then the number of boys and girls respectively in the class are
(a) (25, 25) (b) (20, 30) (c) (30, 20)
(d) (35, 15) (e) (40, 10)
A stone is dropped from a height of 5 km. The distance it falls through varies directly with the square of the time taken to fall through that distance. If it falls 64m in seconds, find the distance the stone covers in the 5th second?
(a) 36 m (b) 58 m (c) 72 m (d) 100 m
In a game, each person is dealt 3 cards from a deck of 52 cards and a player is said to have a winning deck if any only if and a jack each, irrespective of the color or the sign. What is the total possible number of winning decks for this game?
(a) 3 (b) 4 (c) 16 (d) 64
(e) 128
A bag contains 4 white, 5 red, and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red is
(a) 1/22 (b) 3/22 (c) 2/91 (d) 2/77
Five friends Megha, Meghna, Mehak, Menka, and Meenakshi are to be seated on a roundtable such that Megha never sits next to Meghna. In how many ways is it possible?
(a) 4! (b) 4! × 2 (c) 3! × 2 (d) 3!
Sameer plants 7225 plants, so that there are as many rows as there are trees in a row. How many trees are there in a row?
(a) 75 (b) 95 (c) 85 (d) 65
If log10 3 = 0.4771, find the value of
(a) 0.7 (b) 0.9 (c) 1.1 (d) 1.9
The LCM of 26, 52 and 78 is
(a) 152 (b) 154 (c) 156 (d) 158
log5 0.2 is equal to
(a) 1 (b) 2 (c) –2 (d) –1
The total number of prime factors of (7 × 2)24 × (4 × 5)21 is
(a) 45 (b) 84 (c) 90 (d) 111
The square of one number is 25. If the HCF and LCM of two numbers are 5 and 35 respectively, find the other number.
(a) 5 (b) 7 (c) 25 (d) 35
If Anita scores 66 out of hundred then, approximately how much does she score out of 75?
(a) 50 (b) 60 (c) 66 (d) 45
The number 2594* is completely divisible by 6. The smallest value of * can be
(a) 0 (b) 2 (c) 4 (d) 6
The correct relationship after eliminating x, y and z from x + y = a, y + z = b, z + x = c and x + y + z = m, is
(a) m = x + y + z (b) 2m = a + b + c
(c) m = x – y – z (d) 2m = x – y – z
(e) None of these
In how many ways can a group consisting of 5 girls and 4 boys be formed from a class of 8 girls and 5 boys?
(a) 260 (b) 270 (c) 280 (d) 290
A sequence of 4 bits is randomly generated. Each bit takes up a binary format and can either have a value of 0 or 1. What is the probability that at least one of these bits is zero?
(a) 0 (b) 1/16 (c) 15/16 (d) 1
The simple interest earned on a certain amount is double the money when invested for 15 years. What interest rate is offered?
(a) 26.66% (b) 12% (c) 30% (d) 13.33%
What is the value of antilog10 100?
(a) 2 (b) 10100 (c) 100 (d) 10
If log10 4 = 0.6020 and log10 3 = 0.4771, what is the value of log10 12?
(a) 1.0791 (b) 1.1211 (c) 0.2869 (d) 0.1329
If log2(3) = 1.585, then log2(18) =
(a) 4.17 (b) 4
(c) 2 (d) Inadequate data
The difference of two numbers is 15. The LCM and HCF 180 and 15 respectively. Find the numbers.
(a) 15, 30 (b) 30, 45 (c) 45, 60 (d) 60, 75
Rohit invests Rs.25,000 in an investment at a compound interest of 15% per annum. However, he has to withdraw his investments after 16 months. How much interest did Rohit earn?
(a) Rs.5121 (b) Rs.5187.50
(c) Rs.2441.33 (d) Rs.4221
Mohan walks a certain distance and rides back in 6 hours and 15 minutes. If he walks both ways he takes 7 hours and 45 minutes. If Mohan rides both ways, the time which he will take will be
(a) 4 hours (b) 19/4 hours
(c) 9/2 hours (d) 17/4 hours
(e) None of these
A field person of a customer care department of a company on an average attends 3 complaints. If customer care receives about 200 complaints daily, and have 45 field persons to attend, how many complaints are to be outsourced?
(a) 145 (b) 135 (c) 55 (d) 65
Recycling 900 kg of paper saves 17 trees. How many trees are saved when 1200 kg of paper are recycled?
(a) 19 (b) 25 (c) 20 (d) 22
Find the smallest three-digit number that divides 229 and 568 leaving remainder 3 in each case.
(a) 111 (b) 113 (c) 117 (d) 119
A box contains 5 red, 4 white, and 3 green balls. In how many ways can 3 balls be drawn from the box, without replacement, so that at least 2 of them are green?
(a) 18 (b) 28 (c) 27 (d) 9 (e) 30
The largest 6-digit number which is exactly divisible by 29 is
(a) 9,99,972 (b) 9,99,974 (c) 9,99,976 (d) 9,99,978
If abc4d is divisible by 4, what cannot be the value of d?
(a) 0 (b) 4 (c) 8 (d) 2
If log10 3 = 0.477, then the value of log10 9 is
(a) 1 (b) 0.477 (c) 0.954 (d) 0.523
Which of the following is the least number exactly divisible by 15, 25, 30 and 45?
(a) 425 (b) 450 (c) 475 (d) 490
If LCM of two prime numbers p and q (where p<q) is 323, then the value of 2p – q is
(a) 11 (b) 13 (c) 15 (d) 17
The average of 7 numbers is 50. The average of first three of them is 40, while the average of the last three is 60. What must be the remaining number?
(a) 65 (b) 55 (c) 50 (d) 45
A train runs at a speed of 42 m/s and takes 35 seconds to pass a tunnel. After traveling some distance, it takes 15 seconds to pass a pole. What is the length of the tunnel?
(a) 162 m (b) 630 m (c) 840 m (d) 240 m
What is the smallest number, which when divided by 7, 18, 56 and 36, leaves a remainder zero?
(a) 504 (b) 392 (c) 390 (d) 1012
How many 4-digit numbers can be formed from the digits 2, 3, 5, 6 and 8, which are divisible by 2 if none of the digits is repeated?
(a) 24 (b) 60 (c) 72 (d) 120
If mn = 2401, then m/n =
(a) 4/7 (b) 7/4 (c) 11/3 (d) 4/11
The number 98181*6 is completely divisible by 9. Smallest whole digit number in place of * can be
(a) 0 (b) 1 (c) 2 (d) 3
Paul is one-fifth the age her mother was 15 years ago and Parul’s brother is three-fifths the age his mother was 10 years ago. If the sum of Parul and her brother’s ages is 31, then how old is Parul’s mother? (in years)
(a) 50 (b) 40 (c) 35 (d) 60
A vendor purchases binder clips at 12 for Rs.60. How many clips should he sell for Rs.60 to earn a profit of 20%?
(a) 5 (b) 8 (c) 6 (d) 10
What is the unit digit in 2720?
(a) 1 (b) 5 (c) 12 (d) 20
Recycling 900 kg of paper saves 17 trees. How many trees are saved when 1200 kg of paper are recycled?
(a) 19 (b) 25 (c) 20 (d) 22
Out of every 100 people in the police department, 10 are women. Out of every 100 people in military forces, 3 are women. In a batch of 180 police personnel and 200 army personnel, how many of them would be women?
(a) 24 (b) 30 (c) 18 (d) 6
The reciprocal of the HCF and LCM of two numbers are 1/12 and 1/312 respectively. If one of the numbers is 24, find the other number.
(a) 126 (b) 136 (c) 146 (d) 156
What is the difference between the LCM and HCF of the numbers 20, 30, and 40?
(a) 100 (b) 110 (c) 120 (d) 130
If the price of price increases by 30%, then by what percent should its consumption be decreased so that the total expenditure remains the same?
(a) 76.92% (b) 23.07% (c) 30%
(d) 25% (e) 42.85%
(2/7)–8 x (7/2)–2 = (2/7)2x. Find x.
(a) 3 (b) – 3 (c) – 6 (d) 2
In how many different ways can the letters of the word ‘HARDWARE’ be arranged such that the vowels always come together?
(a) 120 (b) 1080 (c) 1440
(d) 4320 (e) 720
Which of the following is greatest among the four given values of x?
(a) x = √15 (b) x = ∛25
(c) x = ∜125 (d) x = √(12&625)
A cistern has three taps in all. Two taps are used for filling the cistern and the third one is used to empty the cistern. The first two taps fill the cistern in 13 minutes and 11 minutes respectively. When all the three taps are open, the empty cistern is filled in 30 minutes. How long will the third tap (waste pipe) take to empty the cistern completely?
(a) 6.28 minutes (b) 6.43 minutes
(c) 7.63 minutes (d) 7.43 minutes
The value of (8–25 – 8–26) is?
(a) 7 * 8–25 (b) 7 * 8–26
(c) 8 * 8–26 (d) None of the above
If 2x + y = 2 * (2)1/2 and 2x – y = 21/2, then the value of x is
(a) 1 (b) 2 (c) 3
(d) 4 (e) None of these
In a town of 2,00,000 citizens, if the population increases at the rate of 4% per annum, then what will be the population of the town in 2 years from now?
(a) 2,10,000 (b) 3,55,555 (c) 1,84,320
(d) 2,16,000 (e) 2,16,320
In how many ways can the letters of the word ‘ELEPHANT’ be arranged?
(a) 5,760 (b) 6,720 (c) 20,160 (d) 40,320
When a local train travels at a speed of 60 kmph, it reaches the destination on time. When the same train travels at a speed of 50 kmph, it reaches its destination 15 minutes late. What is the length of the journey?
(a) 75 km (b) 50 km (c) 60 km (d) 85 km
The number of ways in which the letters of the word ‘RESULT’ can be arranged without repetition is
(a) 720 (b) 120 (c) 60 (d) 840
4522 is not divisible by
(a) 7 (b) 17 (c) 19 (d) 21
Which of the following numbers is divisible by 3 X 4?
(a) 946 (b) 947 (c) 948 (d) 949
Find the number to be multiplied by (–6)–1, so as to get (–8)–1 as the product?
(a) 3/4 (b) – (3/4) (c) 4/3 (d) – (4/3)
In a miniature wonderland, three countries Austria, America and Germany are on display. If Austria and America occupied 3/7 and 4/9 of the display area respectively, what is the display area occupied by Germany?
(a) 3/21 (b) 5/63 (c) 8/63 (d) 1/21
Abu company provides a taxi for call center employees. The company has 7 Taveras, 5 Qualis, 6 Innovas and few small cars. If Tavera makes one-fourth of the total fleet, how many small cars are there in the company?
(a) 12 (b) 7 (c) 6 (d) 10
To fill a storage tank of wheat, 20 containers full of wheat are required. How many containers of wheat will be required to fill the same tank if the capacity of the containers is reduced to two-fifths of the present capacity?
(a) 30 (b) 25 (c) 50 (d) 60
What is the value of the expression? 423 * 520 * 6–2 * 32 * 5–5 * 2–46 * 5–10 * 110 * 5–5?
(a)510/4 (b) 1/4 (c) 4 (d) 510
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