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How many 4 digit numbers can be made using 1, 2, 3, 4, 5, 6 and 7 with none of the digits being repeated?
(a) 7! (b) 840 (c) 4! (d) 42
What is the value of 15C13?
(a) 30 (b) 15 (c) 210 (d) 105
–3.4 is a number on the real number line. If we subtract 1 from this number then the new number will be
(a) Farther from the origin than – 3.4
(b) Closer to the origin than – 3.4
(c) Equally farther from the origin, as – 3.4 is
(d) None of the above
The number of 5-digit odd numbers be made from number 12345 are
(a) 24 (b) 32 (c) 64 (d) 72
Find the largest two-digit number that divides 673 and 865, leaving remainder 1 in each.
(a) 91 (b) 93 (c) 96 (d) 98
4 men car repair a road in 7 hours. How many men are required to repair the road in 2 hours?
(a) 7 (b) 14 (c) 17 (d) 10
If x = 1 + 21/2 and y = 1 – 21/2, then x2 + y2 is
(a) 2 (b) 3 (c) 6 (d) 0
Arrange 2/15, 18/29, 7/18 and 10/87 in ascending order.
(a) 7/18, 2/15, 10/87 and 18/29
(b) 2/15, 7/18, 10/87 and 18/29
(c) 10/87, 18/29, 2/15 and 7/18
(d) 10/87, 2/15, 7/18 and 18/29
What is the least number which should be added to 1330 to make it a perfect square?
(a) 56 (b) 1 (c) 41 (d) 30
If a number is divisible by 63, then it is also divisible by
(a) 7 (b) 11 (c) 13 (d) 17
Write 528/7 as a mixed fraction.
(a) 752/7 (b) 753/7 (c) 743/7 (d) 702/7
Which number should be subtracted from 876905 so that it can be divisible by 8?
(a) 1 (b) 2 (c) 3 (d) 4
Solve: 4/5 × 61/80 × 10/9
(a) 61/90 (b) 90/61
(c) 60/91 (d) None of the above
The population of a town three years ago was ‘b’ and the population of the town three years from now will be ‘c’. What is the current population of the town, if it grows at the same rate?
(a) √(bc) (b) b√(c) (c) c√(b)
(d) b√(b/c) (e) √(b/c)
In a scheme, a pack of three soaps with MRP Rs.45 is available for Rs.42. If it still gives a profit of 5% to the shopkeeper, then the cost price of the pack is
(a) Rs.40 (b) Rs.37 (c) Rs.41 (d) Rs.35
A man sells 12 candles for Rs.12 & loses Rs.2.40. If he sells 12 candies for Rs.16, how much does he gain or lose?
(a) Gain Rs.4 (b) Loses Rs.6 (c) Gains Rs.6.40
(d) Loses Rs.1.60 (e) Gains Rs.1.60
49 pumps can empty a reservoir in 61/2 days, working 8 hours a day. If 196 pumps are used for 5 hours a day, then the same work will be completed in how many days?
(a) 2.6 days (b) 3 days (c) 2.5 days (d) 2 days
In an annual sale, there was a flat discount of 40% on all items. Komal bought a pair of jeans for Rs.480. What is the labeled price of the pair of jeans?
(a) Rs.799 (b) Rs.899 (c) Rs.699 (d) Rs.720
A detergent powder company is having a contest. Each pack of 1 kg contains one of the letters B, A, M, and O. If in every 20 packs, there are four Bs, five As, ten Ms and one O what is the probability that a pack will have a B?
(a) 1/4 (b) 1/2 (c) 1/5 (d) 1/20
Which number should be multiplied by 43 so that it will have 3 prime factors?
(a) 2 (b) 3 (c) 6 (d) 8
How many liters of a 90% solution of concentrated acid needs to be mixed with a 75% solution of concentrated acid to get a 30 L solution of 78% concentrated acid?
(a) 24 L (b) 22.5 L (c) 6 L (d) 17.5 L
A car is 250 meters behind the bus. The car and bus are moving with the speed of 60 km/hr and 35 km/hr respectively. The car will be ahead of the bus by 250 meters in
(a) 37 seconds (b) 48 seconds (c) 72 seconds
(d) 68 seconds (e) None of the above
Shobhit bought 300 liters of milk at Rs.19 per liter. He added 200 liters of water to it and sold 400 liters of this milk at Rs.20 per liter. To the rest, he added 10 liters more water and then sold it for Rs.15 per liter. If he used mineral water that costs Rs.10 per liter, then the total money earned by Shobhit is
(a) Rs.4,000 (b) Rs.4,150 (c) Rs.1,800 (d) Rs.1,850
Rahul can finish one-fifth of his homework in one hour. Neha can finish three-seventh of her homework in one hour thirty minutes and Riya can finish three fourth of her homework in three hours thirty minutes. If all of them start their homework at 12.00 p.m. and can go to play as soon as they all finish their homework, when can they start to play if they take a break at 3.30 p.m. for thirty minutes?
(a) 5.00 p.m. (b) 5.30 p.m. (c) 4.40 p.m.
(d) 6.30 p.m. (e) 3.30 p.m.
An investment earns 4 paise per rupee invested. If at the end of the year, the interest earned by an investment is Rs.100, then the investment is equal to
(a) Rs.2,000 (b) Rs.2,200 (c) Rs.1,000
(d) Rs.2,500 (e) Rs.4,000
Rahul purchased 7 DVDs each of which costs Rs.17. He gave a five hundred rupee note to the shopkeeper. The amount returned to him is divisible by
(a) 3 (b) 7 (c) 9 (d) 11
(a) 4906 (b) 4096 (c) 4960 (d) 4690
In a game show, there are 5 prize cards and 20 blank cards. A contestant is asked to choose a card at random. What is the probability that he won a prize?
(a) 3/5 (b) 2/5 (c) 1/5 (d) 4/5
Which of the following numbers is the smallest number?
(a) 1/12 (b) 1/6 (c) 1/4 (d) 1/3
Sara has 400 marbles. If she gives (1/5)th of her marbles to Sam and Sam gives (3/4)th of his marbles to David, then how many marbles does Sam have left?
(a) 80 (b) 20 (c) 60 (d) 200
Among the following options, which one does not lie in the given range : 1/6 < X < 17/12
(a) 2/7 (b) 1/2 (c) 4/3 (d) 13/11
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
Atul bought a machine for Rs.4,50,000 and sold it to Irrfan who later sold the machine to Danish at a loss of 10% for Rs.4,95,000. The profit earned by Atul is
(a) 23% (b) 21% (c) 25% (d) 22.22%
An air conditioner can cool the hall in 40 minutes while another takes 45 minutes to cool under similar conditions. If both air conditioners are switched on at same instance, then how long will it take to cool the room?
(a) About 22 minutes (b) About 20 minutes
(c) About 30 minutes (d) About 25 minutes
If the price of rice increases by 30%, then by what percent should its consumption be decreased so that the total expenditure remains same?
(a) 76.92% (b) 23.07% (c) 30%
(d) 25% (e) 42.85%
If 22n–1 = (1/8n–3) then the value of n is
(a) 3 (b) 2 (c) 0 (d) –2
Ram is five years elder to his youngest sibling Shreya. Shreya is two years younger than her brother Ritesh. Ritesh is 13 years old and is Ram’s brother. How old will Ram be in two years from now?
(a) 16 (b) 17 (c) 20 (d) 15 (e) 18
What is unit digit of the following sum: 1 + 22 + 33 + 44 + 55 + 66?
(a) 0 (b) 4 (c) 7 (d) 9
What is the value of (a3)5/(a2)4 ?
(a) 7a (b) a7
(c) a–7 (d) None of the above
Which of the following numbers is divisible by 11?
(a) 1042 (b) 1045 (c) 1047 (d) 1048
The total combinations of picking 3 balloons from a packet of 25 balloons are
(a) 2100 (b) 2200 (c) 2300 (d) 2400
A bookstore offers a 10% discount on all the books sold plus an additional discount of 5% on the total bill if the total bill after the initial discount is more than or equal to Rs.1000. Dilshan bought 3 books worth Rs.450, Rs.520 and Rs.250 respectively. How much money was Dilshan able to save as a result of the various discounts offered by the store?
(a) Rs.102 (b) Rs.176.90 (c) Rs.61
(d) Rs.183 (e) None of the above
(a) 2√3 (b) 6 (c) 3√2 (d) 4
What is the value of (5–2 x 10–4)/(2–5 x 5–6)?
(a) 0 (b) 2 (c) 5 (d) 10
Jagdish can build a wall in 10 days. Narender can build the same wall in 12 days while Sumit takes 15 days to do the same job. Which two of them should be employed to finish the job in 6 days?
(a) Jagdish and Narender (b) Jagdish and Sumit
(c) Sumit and Narender (d) None of these
Express the fraction 26/17 as a number up to 3 decimal points.
(a) 1.429 (b) 1.535 (c) 1.321 (d) 1.529
In an election, the winning candidate won by 15% votes. If a total of 5,000 votes were cast of which only 86% were eligible, then how many votes did the winning candidate get?
(a) 2,000 (b) 1,800 (c) 4,000
(d) 4,300 (e) 2,300
The largest measuring cylinder that can accurately fill 3 tanks of capacity 98, 182 and 266 liters each, is of capacity
(a) 2 litres (b) 7 litres (c) 14 litres (d) 98 litres
A manufacturing plant produces a batch of 10 containers out of which 4 are defective. In a quality inspection test, 3 containers are chosen at random. What is the probability that at least one would be defective?
(a) 1/4 (b) 3/10 (c) 5/6 (d) 3/4
Eight teams are playing in a cricket match. If a team loses, it is out of the tournament. How many games are needed to determine the winner?
(a) 7 (b) 6 (c) 8 (d) 9
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If the sum of squares of two numbers is 164 and their HCF and LCM are 2 and 40 respectively, then the numbers are
(a) 4, 8 (b) 4, 10 (c) 8, 10 (d) 10, 12
On dividing a number by 999, the quotient is 366 and the remainder is 103. The number is
(a) 364724 (b) 365387 (c) 365737 (d) 366757
In a mall, 20% area is occupied by eateries, 60% area is open. In the remaining area of 1600 sq meter, there are different showrooms. What is the total area occupied by the mall?
(a) 10,000 sqm (b) 5,000 sqm
(c) 8,000 sqm (d) 4,800 sqm
A car engine is half filled and holds 15 liters of petrol. What fraction of the engine is full if it contains 18 liters of petrol?
(a) ¼ (b) 2/3 (c) 2/5 (d) 3/5
In a quiz competition, the host asked a question and provided three possible answers. What is the probability that the answer choice which Rohit selects for a question is wrong?
(a) 1/3 (b) 1/2 (c) 3C1 x 3/2 (d) 2/3
Ram buys 7 novels from a book fair. Shyam buys 8 novels from another book fair, none of which is common with those bought by Ram. They decide to exchange their books one for one. In how many ways can they exchange their books for the first time?
(a) 7! * 8! (b) 7 * 8! (c) 7! * 8 (d) 56
What is the loss percentage incurred by a company when it buys an asset for Rs.1,50,000 and sells it for Rs.75,500?
(a) 49.67% (b) 49.34% (c) 98.68% (d) 98.34%
The probability of one of the power plants overheating is 0.15 per day and the probability of failure of the back cooling system is 0.11. If these events are independent, what is the probability of ‘big trouble’ (i.e. both events taking place)?
(a) 0.35 (b) 0.0185 (c) 0.0165 (d) 0.26
A dividend of Rs.504 lakhs for shares was announced by a company. 100 employees cum shareholders get Rs.3.60 lakhs each and the shareholder who is not the employee gets Rs.2.40 lakhs each. How many shareholders are there who are not employees?
(a) 80 (b) 60 (c) 70 (d) 50
A bag contains 10-paisa, 20-paisa and 25-paisa coins in the ratio 7:4:3. If the total value is Rs.90, then what is the number of 25- paisa coins in the bag?
(a) 120 (b) 160 (c) 280 (d) 300
What is the least number by which 16,800 must be divided to get a number which is a perfect square?
(a) 42 (b) 24 (c) 21 (d) 40
A teacher was trying to form the groups of students in such a way that every group has an equal number of students and that number should be a prime number. She tried for first 5 prime numbers, but on each occasion exactly one student was left behind. If the number of students is in 4 digits, then how many different values can the total no. of students take?
(a) 0 (b) 2 (c) 3 (d) 4
ABCD is a square. PQRS is a rhombus lying inside the square such that P, Q, R, and S are the mid-points of AB, BC, CD, and DA respectively. A point is selected at random in the square. Find the probability that it lies in the rhombus.
(a) 1/3 (b) 2/3 (c) 1/2 (d) 1/4
If (x1/2)/(4411/2) = 0.02, then the value of x is
(a) 0.1764 (b) 1.764 (c) 1.64 (d) 2.64
What number should be divided by (0.81)1/2 to give the result as 81?
(a) 9 (b) 81 (c) 72.9 (d) 0.9
Five students have not been absent for the entire first semester. They are asked to draw one pass each from a bag that has 5 movie passes and 5 meal passes. Parul and Mini are the first two students to draw the pass simultaneously. What is the probability that they both draw movie passes?
(a) 5/6 (b) 1/2 (c) 2/9 (d) 4/5
A single letter is drawn at random from the word, “ASPIRATION”, the probability that it is a vowel is?
(a) 1/2 (b) 1/3 (c) 3/5 (d) 2/5
Riya sold her car for Rs.50,000 less than what she bought it for and lost 8%. At what price should she have sold the car, if she wanted to gain as much as she lost in the first transaction?
(a) Rs.6,25,000 (b) Rs.6,50,000 (c) Rs.6,75,000
(d) Rs.6,37,500 (e) Rs.7,00,000
Ritu has 3 shirts in shades of red, 4 in yellow shades and 5 in green shades. Three shirts are picked at random. The probability that all of these are in red shades is
(a) (1/12) (b) (1/220) (c) (1/66) (d) (1/4)
Mehak was in a whimsical mood and to reach her home from her office she took the following steps- 4 steps towards North, 3 steps towards East, 8 steps towards South, 6 steps towards West, 7 steps towards North, 5 steps towards East, 6 steps towards South, 4 steps towards West and finally reached her home taking 3 steps towards North. The location of Mehak’s home with respect to her office is
(a) 3 steps to the East (b) 3 steps to the West
(c) 0 steps (d) 2 steps towards the East
(e) 2 steps to the West
Three successive discounts of 6%, 10%, 15% are equal to a single discount of
(a) 25% (b) 28.90% (c) 30% (d) 31% (e) 28.09%
A certain sum of money amounts to Rs.2,500 in a span of 5 years and further to Rs.3000 in a span of 7 years at simple interest. The sum is
(a) Rs.1,000 (b) Rs.1,200 (c) Rs.1,050 (d) Rs.1,250
If a coin with both heads is tossed, then the probability of obtaining a tail is
(a) 0 (b) ½ (c) 1/3 (d) 1
A water pump takes 6 hours to fill an overhead tank. Standby pump takes 10 hours to fill the same overhead tank. If the first pump fails after 2 hours of running, then how long will the standby pump take to fill the overhead tank?
(a) 6 hours (b) 82/3 hours
(c) 8 hours (d) 62/3 hours
Mumbai Rajdhani express takes 16 hours to reach Mumbai from Delhi while Swaraj express takes 20 hours. The ratio of the speeds of both the trains is
(a) 1:4 (b) 4:5 (c) 5:4 (d) 3:2
The printed price on a book is Rs.400, a bookseller offers a 10% discount on it. If he still earns a profit of 12%, then the cost price of the book is
(a) Rs.280 (b) Rs.352 (c) Rs.360 (d) Rs.300
A showroom offers a 10% discount on a microwave, the whose marked price is Rs.8,000 and also gives a blender worth Rs.1,200 as a complimentary gift with it. Even then, the showroom earns a profit of 20%. The cost price per microwave is
(a) Rs.7,200 (b) Rs.6,000 (c) Rs.5,000 (d) Rs.4,000
A baby crawls 12 feet towards East and then 4 feet towards South. He then crawls 9 feet towards West. Ho far is he from his initial position?
(a) 2 feet (b) 9 feet (c) 5 feet (d) 16 feet
A baby crawls 8 feet towards West and then 8 feet towards North. It then moves 14 feet towards East. How far and in which direction is the baby from the starting point?
(a) 8 feet towards East (b) 10 feet towards North-East
(c) 6 feet towards East (d) 10 feet towards South-East
X walks 6 km towards East from a point A and from the same point A, Y walks 8 km towards South. How far are the two friends from each other now?
(a) 14 km (b) 2 km (c) 10 km (d) 5 km 131. Find the chance of throwing more than 9 in one throw with 2 dice.
(a) 2/3 (b) 5/36 (c) 5/18 (d) 1/6
In how many different ways can the letters of the word ‘PASSENGER’ be arranged such that the two ‘S’ never occur together?
(a) 10!/3! × 2! (b) 8!/2! (c) 9!/(2! × 2!) (d) 7! × 8!
(e) (8! × 7)/4
Replace the symbols * and # in 9586*4# so that it is divisible by both 8 and 5.
(a) 0, 0 (b) 1, 0 (c) 0, 5 (d) 1, 5
There are 5 clients and 5 consultants in the roundtable meeting. In how many ways can the clients be seated such that no consultant is next to the other consultant?
(a) 5! 6! (b) 4! 4! (c) 4! 5! (d) 9!
(e) 10C5 5! 4!
In an interview, there are 6 candidates who have been shortlisted for the content team- 4 PhDs and 2 MBAs. If 2 candidates If 2 candidates are chosen at random for the final round, what is the probability that both will be MBAs?
(a) 1/3 (b) ½ (c) 1/15 (d) 2/3
Evaluate: log53 176
(a) 2 log5 17 (b) log5 17 (c) log5 1718
(d) 0.5 log17 5 (e) 2 log125 17
If log32x + log32(1/8) = 1/5, then the value of x is equal to
(a) 8 (b) 5 (c) 16 (d) 32
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