1. What will be the remainder when 17²⁰⁰ is divided by 18 ?
a) 17
b) 16
c) 1
d) 2

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2. (12)³ × 6⁴ ÷ 432 = ?
a) 5184
b) 5060
c) 5148
d) none of these

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1. The sum of two numbers is 528 and their H.C.F.is 33 .The number of pairs of numbers satisfying the above conditions is :
a) 4
b) 6
c) 8
d) 12

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2. Find the least number which when divided by 16,18,20 and 25 leaves 4 as remainder in each case , but when divided by 7 leaves no remainder .
a) 17004
b) 18000
c) 18002
d) 18004

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1. Which of the following fractions is less than 7/8 and greater than 1/3 ?
a) 1/4
b) 23/24
c) 11/12
d) 17/24

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2. The least among the following is :
a) 0.2
b) 1/0.2
c)
d) (0.02)

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1. If , then find the value of .
a) 2/7
b) 5/9
c) 10/7
d) 10/9

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2. 2-[2-{-2(2+2)}] = ?
a) -4
b) 4
c) 6
d) None of these

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1. What is the smallest number to be subtracted from 549162 in order to make it perfect square?
a) 28
b) 36
c) 62
d) 81

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2. If  , then a/b is:
a) 16 × 10^-3
b) 16 × 10^-4
c) 16 × 10^-5
d) none of these

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1. David ontained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
a) 65
b) 69
c) 72
d) None of these

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2. The average of first 50 natural numbers is :
a) 12.25
b) 21.25
c) 25
d) 25.5

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1. If the number obtained on interchanfing the digits of a two-digit number is 18 more than the original number and the sum of the digits is 8, than what is the original number?
a) 26
b) 35
c) 53
d) Cannot be determined

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2. Two-third of a positive number and 25/216 of its reciprocal are equal. The number is:
a) 5/12
b) 12/5
c) 25/144
d) 144/25

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1. Rajan got married years ago. His present age is 6/5 times his age at the time of his marriage. Rajans sister was 10 years younger to him at the time of his marriage. The age of Rajans sister is :
a) 32 years
b) 36 years
c) 38 years
d) 40 years

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2. Tanyas grandfather was times older to her 16 years ago. He woud be times of her age years from now. Eight years ago, what was the ratio of Tanyas age to that of her grandfather?
a) 1 : 2
b) 1 : 5
c) 3 : 8
d) None of these

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1. If , then the value of x is:
a) 1
b) 2
c) 3
d) 4

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2. If 5√5 × 5³ ÷ 5^-3/2 = 5^a+2 , then the value of a is:
a) 4
b) 5
c) 6
d) 8

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1. A district has 64000 inhabitants. If the population increase at the rate of per annum, then the number of inhabitants at the end of 3 years will be
a) 68911
b) 68921
c) 69200
d) 7000

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2. Mr. X, a businessman had the income in the year 2000, such that he earned a profit of 20% on his investment in the business. In the year 2001, his investment was less by Rs. 5000 but still had the same income (Income = Investment + Profit) as that in 2000. Thus, the percent profit earned in 2001 increased by 6%. What was his investment in 2000?
a) Rs. 1,02,000
b) Rs. 1,05,000
c) Rs. 1,50,00
d) Data inadequate

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1. At what percent above the cost price must a shopkeeper mark his goods so that he gains 20% even after giving a discount o 10% on the marked price?
a) 25%
b) 30%
c) %
d) %

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2. A trader marked the selling price of an article at 10% above the cost price. At the time of selling, he allows certain discount and suffers a loss of 1%. He allowed a discount
a) 9%
b) 10%
c) 10.50%
d) 11%

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1. If (a + b) : (b + c) : (c + a) = 6 : 7 and (a + b + c) = 14, then the value of c is :
a) 6
b) 7
c) 8
d) 14

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2. The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship hoders, what percentage of the students does not get the scholarship ?
a) 56
b) 70
c) 78
d) 80

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1. A and B start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After to more months, B takes out one third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit.
a) A - Rs. 1400, B - Rs. 1900, C - Rs. 1780
b) A - Rs. 1600, B - Rs. 1800, C - Rs. 1680
c) A - Rs. 1800, B - Rs. 1500, C - Rs. 1780
d) A - Rs. 1680, B - Rs. 1600, C - Rs. 1800

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2. Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business ?
a) 7 : 6 : 10
b) 12 : 15 : 16
c) 42 : 45 : 56
d) Cannot be determined

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1. An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metres of cloth?
a) 178
b) 195
c) 204
d) 488

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2. A garrison had provisions for a certain number of days. After 10 days, 1/5 of the men desert and it is found that the provisions will now last just as long as before. How long was that?
a) 15 days
b) 25 days
c) 35 days
d) 50 days

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1. P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?
a)
b)
c)
d)

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2. A can do a piece of work in 10 days; B in 15 days. They work for 5 days. The rest of the work was finished by C is 2 days. If they get Rs. 1500 for the whole work, the daily wages of B and C are :
a) Rs. 150
b) Rs. 225
c) Rs. 250
d) Rs. 300

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1. There taps A, B and C can fill tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in :
a) 6 hrs
b)
c) 5
d)

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2. Three pipes A, B and C fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes ?
a) 5/11
b) 6/11
c) 7/11
d) 8/11

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1. One of the two buses completes a journey of 300 Km in hours and the other a journey of 450 Km in 9 hours. The ratio of their average speeds is :
a) 2 : 3
b) 3 : 4
c) 4 : 5
d) 8 : 9

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2. A train running at 7/11 of its own speed reached a place in 22 hours. How much time could be saved if the train would have run at its own speed ?
a) 7 hours
b) 8 hours
c) 14 hours
d) 16 hours

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1. A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also apsses a railway platform in 45 seconds. The length of the platform is
a) 400 m
b) 450 m
c) 560 m
d) 600 m

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2. A train 240 m long passed a pole in 24 seconds. How long will it take to pass a platfrom 650 m long ?
a) 65 sec
b) 89 sec
c) 100 sec
d) 150 sec

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1. The speed of a boat in still water 10 km/hr. If it can travel 26 km downstream and 14 km upstream in the same time, the speed of the stream is :
a) 2 km/hr
b) 2.5 km/hr
c) 3 km/hr
d) 4 km/hr

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2. A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstrem. What is the ratio between the speed of the boat and speed of the water current respectively ?
a) 2 : 1
b) 3 : 2
c) 8 : 3
d) Cannot be determined

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1. A dishonest milman professes to sell his milk at cost price but he mixes it with water and therby gains 25%. The percentage of water in the mixture is :
a) 4%
b) %
c) 20%
d) 25%

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2. A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 25%. The quantity of whisky replaced is :
a) 1/3
b) 2/3
c) 2/5
d) 3/5

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1. At what rate percent of simple interest will a sum of money double itself in 12 years ?
a) %
b) %
c) %
d) %

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2. Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 4%, what a mount will Rs. 800 becomes in 3 years ?
a) Rs. 1020.80
b) Rs. 1025
c) Rs. 1052
d) Data Inadequate

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1. A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs. 482 more, if the interest was payable half-yearly then if it was payable annually. The sum is :
a) Rs. 10,000
b) Rs. 20,000
c) Rs. 40,000
d) Rs. 50,000

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2. A man borrows Rs. 12,500 at 20% compound interest. At the end of every year he pays Rs. 2000 as part repayment. How much does he still owe after three such instalments ?
a) Rs. 12,000
b) Rs. 12,864
c) Rs. 15,600
d) None of these

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1. If , then x is equal to :
a) 16
b) 64
c) 128
d) 256

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2. If log 2 = 0.30103, the number of digits in 2⁶⁴ is :
a) 18
b) 19
c) 20
d) 21

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1. Three circles of radius 3.5 cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is :
a) 1.967 cm²
b) 1.975 cm²
c) 19.67 cm²
d) 21.21 cm²

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2. The length of a rectangle is three times of its width. If the length of the diagonal is 8√10 cm, then the perimeter of the rectangle is :
a) 15√10 cm
b) 16√10 cm
c) 24√10 cm
d) 64 cm

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1. A cone of height 9 cm with diameter of its base 18 cm is carved out from a wooden solid sphere of radius 9 cm. The percentage of the wood wasted is :
a) 25%
b) 25π %
c) 50%
d) 75%

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2. The number of coins of radius 0.75 cm and thickness 0.2 cm to be melted to make a right circular cylinder if height 8 cm and base radius 3 cm is :
a) 460
b) 500
c) 600
d) 640

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1. A runs times as fast as B. If A given B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time ?
a) 200 m
b) 300 m
c) 270 m
d) 160 m

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2. A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by :
a) 100 m
b) m
c) 25 m
d) 50 m]

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1. On 6th March, 2005 Monday falls. What was the day of the week on 6th March, 2004 ?
a) Sunday
b) Saturday
c) Tuesday
d) Wednesday

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2. Which of the following is not a leap year ?
a) 700
b) 800
c) 1200
d) 2000

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1. The reflex angle between the hands of a clock at 10.25 is :
a) 180⁰
b) ⁰
c) 195⁰
d) ⁰

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2. At what time between 5.30 and 6 will the hands of a clock be at right angles ?
a) min. past 5
b) min. past 5
c) 40 min. past 5
d) 45 min. past 5

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1. Which is better investment - 11% stock at 143 or % stock is 117 ?
a) 11% stock at 143
b) % stock at 117
c) Both are equally good
d) Cannot be compared, as the total amount of investment is not given

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2. A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, hw must invest the money in the ratio :
a) 3 : 4
b) 3 : 5
c) 4 : 5
d) 16 : 15

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1. How many arrangements can be made out of the letters of the word ENGINEERING ?
a) 277200
b) 92400
c) 69300
d) 23100

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2. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed ?
a) 210
b) 1050
c) 25200
d) 21400

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1. In a simultaneous throw of two dice, what is the probability of getting a total of 10 or 11 ?
a) 1/4
b) 1/6
c) 7/12
d) 5/36

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2. Three unbiased coins are tossed. What is the probability of getting at least 2 heads ?
a) 1/4
b) 1/2
c) 1/3
d) 1/8

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1. Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same ?
a) Rs. 10
b) Rs. 10.40
c) Rs. 15.20
d) Rs. 13

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2. A has to pay Rs. 220 to B after 1 year. B asks A to pay Rs. 110 in cash and defer the payment of Rs. 110 for 2 years. A agrees to it. If the rate of interest be 10% per annum, in this mode of payment :
a) There is no gain or loss to any one
b) A gains Rs. 7.34
c) A loses Rs. 7.34
d) A gains Rs. 11

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1. The bankers discount of a certain sum of money is Rs. 72 and the true discount on the same sum for the same time is Rs. 60. The sum due is :
a) Rs. 360
b) Rs. 432
c) Rs. 540
d) Rs. 1080

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2. The true discount on a bill of Rs. 540 is Rs. 90. The bankers discount is :
a) Rs. 60
b) Rs. 108
c) Rs. 110
d) Rs. 112

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1. The top of a 15 metre high tower makes an angle of elevation of 60⁰ with the bottom of an electric pole and angle of elevation of 30⁰ with the top of the pole. What is the height of the electric pole ?
a) 5 metres
b) 8 metres
c) 10 metres
d) 12 metres

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2. The angle of elevation of a ladder leaning against a wall is 60⁰ and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is :
a) 2.3 m
b) 4.6 m
c) 7.8 m
d) 9.2 m

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1. Find the wrong number in the series : 3, 8, 15, 24, 34, 48, 63
a) 15
b) 24
c) 34
d) 48

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2. 46080, 3840, 384, 48, 24, 2, 1
a) 1
b) 2
c) 24
d) 384

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