1. A number was divided successively in order by 4,5 nad 6 .The remainders were respectively 2,3 and 4. The number is
a) 214
b) 476
c) 954
d) 1908

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2. The difference of the square of two consecutive odd integers is divisible by which of the following integers ?
a) 3
b) 6
c) 7
d) 8

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1. The L.C.M of 22 , 54 , 108 ,135 and 198 is :
a) 330
b) 1980
c) 5940
d) 11880

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2. Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:
a) 4
b) 5
c) 6
d) 8

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1. Which of the following has fraction in ascending order ?
a)
b)
c)
d)

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2. The value of is :
a) 0
b) 1.6
c) 2
d) 3.4

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1. To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present?
a) 10
b) 35
c)
d) cannot be determined

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2. 1/4 of a tank holds 135 litres of water. What part of the tank is full if it contains 180 litres of water?
a) 1/6
b) 1/3
c) 2/3
d) 2/5

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1. Evaluate :
a) 3
b) 5
c) 6
d) 6.4

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2. = ?
a)
b)
c)
d)

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1. 16 children are to be divided into two groups A and B of 10 and 6 children. The average percent marks obtained by the children of group A is 75 and the average percent marks of all the 16 children is 76. What is the average percent marks of children of group B/
a)
b)
c)
d)

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2. In a schoool with 600 students, the average age of the boys is 12 years and that of the girls is 11 years, If the average age of the school is 11 years 9 months, then the number of girls in the school is :
a) 150
b) 250
c) 350
d) 450

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1. Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.
a) 3
b) 10
c) 17
d) 20

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2. The sum of the squares of three consecutive natural numbers is 2030. What is the middle number?
a) 25
b) 26
c) 27
d) 28

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1. A man is 4 years older than his son. In two years, his age wi be twice the age of his son. The present age of the son is:
a) 14 years
b) 18 years
c) 20 years
d) 22 years

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2. Sachin is younger than Rahul by 4 years. If their ages are in the respective ratio of 7 : 9, how old is Sachine?
a) 16 years
b) 18 years
c) 28 years
d) None of these

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1. (18)^3.5 ÷ (27)^3.5 × 6^3.5 = 2^?:
a) 3.5
b) 4.5
c) 6
d) 7

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2. If 5^a = 3125, then the value of 5^(a-3), then the value of a is:
a) 25
b) 125
c) 625
d) 1625

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1. If 20% of A = B and 40% of B = C, then 60% of (A = B) is:
a) 30% of C
b) 60% of C
c) 75% of C
d) None of these

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2. From the salary of an officer, 10% is deducted as house rent, 20% of the rest, he spends on conveyance, 205 of the rest he pays as income tax and 10% of the balance, he spends on clothes. Then he is left with Rs. 15,552. Find his total salary.
a) Rs. 25,000
b) Rs. 30,000
c) Rs. 35,000
d) Rs. 40,000

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1. A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is :
a) Rs. 50
b) Rs. 60
c) Rs. 80
d) Rs. 90

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2. A bag market at Rs. 80 is sold for Rs. 68. The rate of discount is :
a) 12%
b) 15%
c) %
d) 20%

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1. The ratio of third proportional to 12 and 30 and the mean proportional between 9 and 25 is :
a) 2 : 1
b) 5 : 1
c) 7 : 15
d) 9 : 14

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2. A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is Bs share ?
a) Rs. 500
b) Rs. 1500
c) Rs. 2000
d) None of these

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1. A and B sart a business jointly. A invests Rs. 16,000 for 8 months and B remains in the business for 4 months. Out of total profit, B claims 2/7 of the profit. How much money was contributed by B ?
a) Rs. 10,500, Rs. 13,500, Rs. 16,500
b) Rs. 11,900
c) Rs. 12,800
d) Rs. 13,600

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2. A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs. 27,000, Cs share is :
a) Rs. 8625
b) Rs. 9000
c) Rs. 10,800
d) Rs. 11,250

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1. 30 labourers, working 7 hours a day can finish a piece of work in 18 days. If the labourers work 6 hours a day, then the number of labourers to finish the same piece of work in 30 days, will be :
a) 15
b) 21
c) 22
d) 25

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2. A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the beginning and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the additional men, how many days behind schedule would it be finished?
a) 3
b) 5
c) 18
d) 24

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1. A can lay railway between two given stations in 16 days and B can do the same job in 12 days. With the help of C, alone can do the job in :
a)
b)
c)
d) 10 days

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2. 5 men and 2 boys working together can do four times as much work as a men and a boy. Working capacities of a woman and a boy are in the ratio :
a) 1 : 2
b) 2 : 1
c) 1 : 3
d) 3 : 1

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1. A water tank is two-fifth full. Pipe A can fill a tank in 20 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
a) 6 min. to empty
b) 6 min. to fill
c) 9 min. to empty
d) 9 min. to fill

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2. Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in :
a)
b)
c)
d)

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1. A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km / hr. The distance travelled on foot is :
a) 14 km
b) 15 km
c) 16 km
d) 17 km

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2. A person travels from P to Q at a speed of 40 kmph and returns by increasing his speed by 50%. What is his average speed for both the trips ?
a) 36 kmph
b) 45 kmph
c) 48 kmph
d) 50 kmph

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1. Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction ?
a) 10
b) 12
c) 15
d) 20

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2. A train 150 m long passes a km stone in 15 seconds and another train of the same length travelling in opposite direction in 8 seconds. The speed of the second train is :
a) 60 km/hr
b) 66 km/hr
c) 72 km/hr
d) 99 km/hr

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1. A man rows downstream 32 km and 14 km upstream. If he takes 6 hours to cover each distance, then the velocity (in kmph) of the current is :
a) 3
b) 1
c)
d) 2

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2. A man can row at 5 kmph in still water. If the velocity of current is 1 lmph and it takes him 1 hour to row to a place and come back, how far is the place ?
a) 2.4 km
b) 2.5 km
c) 3 km
d) 3.6 km

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1. In what ratio must tea at Rs. 62 per kg be mixed with tea at Rs. 72 per kg so that the mixture must be worth Rs. 64.50 per kg ?
a) 3 : 1
b) 3 : 2
c) 4 : 3
d) 5 : 3

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2. A container contains 40 litres of milk From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container ?
a) 26.34 litres
b) 27.36 litres
c) 28 litres
d) 29.16 litres

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1. If the annual rate of simple interest increases from 10% to %, a mans yearly income increases by Rs. 1250. His principal (in Rs.) is :
a) 45,000
b) 50,000
c) 60,000
d) 65,000

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2. Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B ?
a) Rs. 6400
b) Rs. 6500
c) Rs. 7200
d) Rs. 7500

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1. The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Rs. 1. The sum (in Rs.) is :
a) 625
b) 630
c) 640
d) 650

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2. A sum of money invested at compound interest amount to Rs. 800 in 3 years and to Rs. 840 in 4 years. The rate of interest per annum is :
a) 5/2%
b) 4%
c) 5%
d) 20/3%

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1. The value of log₁₀ (.0001) is :
a) 1/4
b) -1/4
c) -4
d) 4

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2. The value of is :
a) 1/2
b) 1
c) 5
d) 60

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1. A semi-circular shaped window has diameter of 63 cm. Its perimeter equals :
a) 126 cm
b) 162 cm
c) 198 cm
d) 251 cm

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2. The area of a field in the shape of a trapezium measures 1440 m² . The perpendicular distance between its parallel sides is 24 m. If the ratio of the parallel sides is 5 : 3, the length of the longer parallel side is :
a) 45 m
b) 60 m
c) 75 m
d) 120 m

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1. A swimming pool 9 m wide and 12 m long is 1m log is m deep on the shallow side and 4 m deep on the deeper side. Its volume is :
a) 208 m³
b) 270³
c) 360³
d) 408 m³

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2. Water flows through a cylinderical pipe of internal diameter 7 cm at 2 m per second. If the pipe is always half full, then what is the volume of water (in litres) discharged in 10 minutes ?
a) 2310
b) 3850
c) 4620
d) 9240

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1. In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by :
a) 5.4 m
b) 4.5 m
c) 5 m
d) 6 m

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2. In a 200 metres race A beats B by 35 m or 7 seconds. As time over the course is :
a) 40 sec
b) 47 sec
c) 33 sec
d) None of these

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1. On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004 ?
a) Thursday
b) Monday
c) Sunday
d) Wednesday

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2. What will be the day of the week on 15th August, 2010 ?
a) Sunday
b) Monday
c) Tuesday
d) Friday

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1. How many times in a day, the hands of a clock are straight?
a) 22
b) 24
c) 44
d) 48

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2. How much does a watch lose per day, if its hands coincide every 64 minutes ?
a) min
b) min
c) 90 min
d) 96 min.

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1. A man invests in a 16% stock at 128. The interest obtained by him is :
a) 8%
b) 12%
c) 12.50%
d) 16%

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2. A 9% stock yields 8%. The market value of the stock is :
a) Rs. 72
b) Rs. 92
c) Rs. 112.50
d) Rs. 116.50

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1. In a group of 6 boys and 4 girls, four children are to be selcted. In how many different ways can they be selected such that at least one boy should be there ?
a) 159
b) 194
c) 205
d) 209

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2. In how many different ways can the letters of thw word OPTICAL be arranged so that the vowels always come together ?
a) 120
b) 720
c) 4320
d) 2160

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1. A speaks truth in 75% cases and B in 80% of the cases. In what percentage of cases are they likely to contradict each other, narrating the same incident?
a) 5%
b) 15%
c) 35%
d) 45%

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2. Two cards are drawn from a pack of 52 cards. The probability that either both are red or both are kings, is :
a) 7/13
b) 3/26
c) 63/221
d) 55/221

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1. A man wants to sell his scooter. There are two offers, one at Rs. 12,000 cash and the other at a credit of Rs. 12,880 to be paid after 8 months, money being at 18% per annum. Which is the better offer ?
a) Rs. 12,000 in cash
b) Rs. 12,880 at credit
c) Both are equally good

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2. A trader owes a merchant Rs. 10,028 due 1 year hence. The trader wants to settle the account after 3 months. If the rate of interest is 12% per annum, how much cash should he pay ?
a) Rs. 9025.20
b) Rs. 9200
c) Rs. 9600
d) Rs. 9560

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1. The bankers gain on a certain sum due years hence is 3/25 of the bankers discount. The rate percent is :
a) %
b) %
c) %
d) %

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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. A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45⁰ with the mans eys when at a distance of 60 metres from the tower. After 5 seconds, the angle of depression becomes 30⁰ . What is the approximate spped of the boat, assuming that it is running in still water /
a) 32 kmph
b) 36 kmph
c) 38 kmph
d) 40 kmph

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2. Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from the two ships are 30⁰ and 45⁰ respectively. If the lighthouse is 100 m high, the distance between the two hips is :
a) 173 m
b) 200 m
c) 273 m
d) 300 m

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1. 40960, 10240, 2560, 640, 200, 40, 10
a) 640
b) 40
c) 200
d) 2560

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2. 2, 5, 10, 17, 26, 37, 50, 64
a) 50
b) 26
c) 37
d) 64

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