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OICL AO - SPLessons
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Specialists Quantitative Aptitude

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Specialists Quantitative Aptitude

OICL AO - Specialists Quantitative Aptitude

Main Examination will consist of Objective Tests for 200 marks and Descriptive Test for 30 marks. Both the Objective and Descriptive Tests will be online. Candidates will have to answer Descriptive Test by typing on the computer. Immediately after completion of Objective Test, Descriptive Test will be administered. The detailed information about OICL AO Specialists Quantitative Aptitude section for Main examination is discussed below.


shape Pattern

The Objective Test of 2 hours duration consists of 5 sections (Specialists) for total 200 marks. The Pattern for Specialist exam is as follows:
Sr.No. Name of Tests (NOT BY SEQUENCE) No. of Questions Maximum Marks Medium of Exam Time Allotted for Each Test (Separately Timed)
1 Reasoning Ability Objective 40 English/Hindi 120 Minutes
2 English Language Objective 40 English
3 General Awareness Objective 40 English/Hindi
4 Quantitative Aptitude Objective 40 English/Hindi
5 Professional Knowledge Objective 40 English/Hindi
Total 100 100

The OICL AO Generalists Quantitative Aptitude section, in the Main Exam, has a maximum of 50 marks. There will be penalty for wrong answers marked in the Objective Tests. Each question for which a wrong answer has been given by the candidate, one-fourth of the marks assigned to that question will be deducted as penalty to arrive at corrected score. If a question is left blank, i.e. no answer is marked by the candidate; there will be no penalty for that question. The Company reserves the right to modify the structure of the examination which will be intimated through its website.

shape Syllabus

S.no Concepts
1 Mensuration
2 Races and Games
3 Boats and Streams
4 Problems on L.C.M and H.C.F
5 Quadratic Equations
6 Mixtures and Allegations
7 Problems on Numbers
8 Indices and Surds
9 Simplification and Approximation
10 Percentages
11 Areas
12 Time and Distance
13 Numbers and Ages
14 Time and Work Partnership
15 Volumes Profit and Loss
16 Simple Interest
17 Pipes and Cisterns
18 Probability
19 Odd Man Out
20 Averages
21 Compound Interest
22 Permutations and Combinations
23 Problems on Trains
24 Simple Equations
25 Ratio and Proportion

shape Samples

1. What is the are of an equilateral triangle of side 16 cm?
    A. 48[latex]\sqrt{3}[/latex] [latex]cm^2[/latex] B. 128[latex]\sqrt{3}[/latex] [latex]cm^2[/latex] C. 9.6[latex]\sqrt{3}[/latex] [latex]cm^2[/latex] D. 64[latex]\sqrt{3}[/latex] [latex]cm^2[/latex] E. None of these
Answer: Option D
2. If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
    A. 120 [latex]cm^2[/latex] B. 130 [latex]cm^2[/latex] C. 312 [latex]cm^2[/latex] D. 315 [latex]cm^2[/latex] E. None of these
Answer: Option A
3. The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
    A. 25 [latex]cm^2[/latex] B. 42 [latex]cm^2[/latex] C. 49 [latex]cm^2[/latex] D. 70 [latex]cm^2[/latex] E. None of these
Answer: Option E
4. Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
    A. 225 [latex]cm^2[/latex] B. 275 [latex]cm^2[/latex] C. 285 [latex]cm^2[/latex] D. 315 [latex]cm^2[/latex] E. None of these
Answer: Option C
5. Find the area of a parallelogram with base 24 cm and height 16 cm.
    A. 262 [latex]cm^2[/latex] B. 384 [latex]cm^2[/latex] C. 192 [latex]cm^2[/latex] D. 131 [latex]cm^2[/latex] E. None of these
Answer: Option B
1. In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C:
    A. 18 m B. 20 m C. 27 m D. 9 m
Answer: Option B
2. A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is: A. 5.15 kmph B. 4.14 kmph C. 4.25 kmph D. 4.4 kmph Answer: Option B
3. In a 500 m race, the ratio of the speeds of two contestants A and B is 3: 4. A has a start of 140 m. Then, A wins by:
    A. 60 m B. 40 m C. 20 m D. 10 m
Answer: Option C
4. 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
Answer: Option D
5. At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?
    A. 30 points B. 20 points C. 10 points D. 12 points
Answer: Option C
1. A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.
    A. 2 hours B. 3 hours C. 4 hours D. 5 hours
Answer: Option C
2. A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:
    A. 8.5 km/hr B. 9 km/hr C. 10 km/hr D. 12.5 km/hr
Answer: Option C
3. 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 downstream. 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 E. None of these
Answer: Option C
4. A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:
    A. 4 B. 5 C. 6 D. 10
Answer: Option B
5. In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
    A. 3 km/hr B. 5 km/hr C. 8 km/hr D. 9 km/hr
Answer: Option C
1. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
    A. 4 B. 7 C. 9 D. 13
Answer: Option A
2. The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
    A. 276 B. 299 C. 322 D. 345
Answer: Option C
3. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?
    A. 4 B. 10 C. 15 D. 16
Answer: Option D
4. 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
Answer: Option A
5. The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
    A. 9000 B. 9400 C. 9600 D. 9800
Answer: Option C
1. Find the roots of the quadratic equation: [latex]x^2[/latex] + 2x - 15 = 0?
    A. -5, 3 B. 3, 5 C. -3, 5 D. -3, -5 E. 5, 2
Answer: Option A
2. Find the roots of the quadratic equation: 2[latex]x^2[/latex] + 3x - 9 = 0?
    A. 3, -3/2 B. 3/2, -3 C. -3/2, -3 D. 3/2, 3 E. 2/3, -3
Answer: Option B
3. The roots of the equation 3[latex]x^2[/latex] - 12x + 10 = 0 are?
    A. rational and unequal B. complex C. real and equal D. irrational and unequal E. rational and equal
Answer: Option D
4. If the roots of a quadratic equation are 20 and -7, then find the equation?
    A. [latex]x^2[/latex] + 13x - 140 = 0 B. [latex]x^2[/latex] - 13x + 140 = 0 C. [latex]x^2[/latex] - 13x - 140 = 0 D. [latex]x^2[/latex] + 13x + 140 = 0 E. None of these
Answer: Option C
5. The sum and the product of the roots of the quadratic equation [latex]x^2[/latex] + 20x + 3 = 0 are?
    A. 10, 3 B. -10, 3 C. 20, -3 D. -10, -3 E. None of these
Answer: Option E

1. A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
    A. 7 liters B. 15 liters C. 10 liters D. 9 liters
Answer: Option C
2. A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
    A. 9:1 B. 4:7 C. 7:1 D. 2:5
Answer: Option A
3. In what ratio should two varieties of sugar of Rs.18 per kg and Rs.24 kg be mixed together to get a mixture whose cost is Rs.20 per kg?
    A. 1:3 B. 3:1 C. 1:2 D. 2:1
Answer: Option D
4. How many liters of oil at Rs.40 per liter should be mixed with 240 liters of a second variety of oil at Rs.60 per liter so as to get a mixture whose cost is Rs.52 per liter?
    A. 120 liters B. 180 liters C. 110 liters D. 160 liters
Answer: Option D
5. Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
    A. Rs. 13.50 B. Rs. 14.50 C. Rs. 15.50 D. Rs. 16.50 E. None of these
Answer: Option D
1. A number exceeds by 25 from its 3/8 part. Then the number is?
    A. 32 B. 35 C. 39 D. 40
Answer: Option D
2. Ratio between two numbers is 3: 4 and their sum is 420. Find the smaller number?
    A. 240 B. 180 C. 160 D. 140
Answer: Option B
3. Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?
    A. 12, 9 B. 10, 5 C. 12, 7 D. 11, 6
Answer: Option C
4. Sum of two numbers is 15. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?
    A. 6, 9 B. 10, 5 C. 7, 8 D. 9, 6
Answer: Option B
5. Sum of two numbers is 80. Greater number exceeds by 5 from four times of the smaller. Find the numbers?
    A. 65, 15 B. 64, 16 C. 62, 18 D. 60, 20
Answer: Option A
1. [latex](\frac{169}{121})^{\frac{-3}{2}}[/latex] * [latex]\frac{27}{2}[/latex] * [latex](\frac{13}{22})^{-1}[/latex]
    A. [latex](13)^{-1} (11)^{4} (3)^{3}[/latex] B. [latex](13)^{-2} (11)^{4} (3)^{4}[/latex] C. [latex](13)^{-3} (11)^{4} (3)^{4}[/latex] D. [latex](13)^{-4} (11)^{4} (3)^{3}[/latex] E. None of these
Answer: Option D
2. [latex](\frac{27^2}{4^{-3}})^{\frac{-5}{6}}[/latex] = ?
    A. [latex]\frac{1}{1296}[/latex] B. [latex]\frac{1}{46656}[/latex] C. [latex]\frac{1}{7256}[/latex] D. [latex]\frac{1}{7776}[/latex] E. None of theses
Answer: Option D
3. [latex](5 - 7)^2 * \frac{(6 - 9)^2}{(2^3)^{-2}}[/latex] = ?
    A. -2304 B. 2304 C. -2382 D. 2382 E. None of these
Answer: Option B
4. [latex](\frac{a^{-3} b^{-2}}{a^2 b^2})^{-3} * \frac{\frac{(a^3 b^{-4})}{(a^{-3} b^3)}}{\frac{(a^{-2} b^3)}{(a^{-4} b^{-3})}}[/latex] = ?
    A. [latex]a^{-19} b^{-1}[/latex] B. [latex]a^{-19} b[/latex] C. [latex]a^{19} b^{-1}[/latex] D. [latex]a^{19} b[/latex] E. None of these
Answer: Option C
5. [latex](\frac{8x^9}{27y^{-6}})^{\frac{-2}{3}}[/latex] = ?
    A. [latex]\frac{9}{4} x^{-6} y^{-4}[/latex] B. [latex]\frac{9}{4} x^{-4} y^{-6}[/latex] C. [latex]\frac{9}{4} x^{-6} y^{4}[/latex] D. [latex]\frac{9}{4} x^{-4} y^{6}[/latex] E. None of these
Answer: Option A
1. [latex]60 + 5 * \frac{12}{\frac{180}{3}}[/latex] = ?
    A. 60 B. 120 C. 13 D. 61 E. None of these
Answer: Option D
2. [latex]9000 + 16 \frac{2}{3} %[/latex] of ? = 10500
    A. 1500 B. 1750 C. 9000 D. 7500 E. None of these
Answer: Option C
3. [latex]6 \frac{2}{3} * 9 \frac{3}{5} * 2 \frac{1}{3} + 1 \frac{1}{3}[/latex] = ?
    A. [latex]150 \frac{1}{3}[/latex] B. [latex]150 \frac{2}{3}[/latex] C. [latex]149 \frac{2}{3}[/latex] D. [latex]149 \frac{1}{3}[/latex] E. None of these

4. [latex]\frac{[(7 * 9) + (2 * 12) + 3]}{[(12 * 3) + \frac{81}{9}]}[/latex] = ?
    A. 4 B. 60 C. 1.75 D. 4.5 E. None of these
Answer: Option E
5. 0.003 * ? * 0.0003 = 0.00000027
    A. 9 B. 3 C. 0.3 D. 0.03 E. None of these
Answer: Option C
1. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
    A. 39, 30 B. 41, 32 C. 42, 33 D. 43, 34
Answer: Option C
2. A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
    A. 588 apples B. 600 apples C. 672 apples D. 700 apples
Answer: Option D
3. What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
    A. 1 B. 14 C. 20 D. 21
Answer: Option C
4. If A = x% of y and B = y% of x, then which of the following is true?
    A. A is smaller than B. B. A is greater than B C. Relationship between A and B cannot be determined. D. If x is smaller than y, then A is greater than B. E. None of these
Answer: Option E
5. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
    A. 2 : 3 B. 1 : 1 C. 3 : 4 D. 4 : 3
Answer: Option D
1. The area of a triangle is with base 4m and height 5m?
    A. 20 sq m B. 10 sq m C. 5 sq m D. 3 sq m
Answer: Option B
2. The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.
    A. 0 sq m B. 3 sq m C. 2 sq m D. 6 sq m
Answer: Option A
3. The length of each side of an equilateral triangle having an area of [latex]4\sqrt{3}cm^2[/latex] is?
    A. 4/3 cm B. 3/4 cm C. 3 cm D. 4 cm
Answer: Option D
4. The altitude of an equilateral triangle of side [latex]2\sqrt{3}cm[/latex] is?
    A. 3/2 cm B. 1/2 cm C. 3/4 cm D. 3 cm
Answer: Option D
5. The base of a right triangle is 8 and hypotenuse is 10. Its area is?
    A. 12 B. 80 C. 59 D. 24
Answer: Option D
1. Express a speed of 36 kmph in meters per second?
    A. 10 mps B. 12 mps C. 14 mps D. 17 mps
Answer: Option A
2. Express 25 mps in kmph?
    A. 15 kmph B. 99 kmph C. 90 kmph D. None
Answer: Option C
3. The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
    A. 15 kmph B. 12 kmph C. 10 kmph D. 5 kmph
Answer: Option A
4. A car covers a distance of 624 km in [latex]6\frac{1}{2}[/latex] hours. Find its speed?
    A. 104 kmph B. 140 kmph C. 104 mph D. 10.4 kmph
Answer: Option A
5. In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
    A. 9 sec B. 8 sec C. 7 sec D. 6 sec
Answer: Option D
1. The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
    A. 4 years B. 8 years C. 10 years D. None of these
Answer: Option A
2. A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
    A. 14 years B. 19 years C. 33 years D. 38 years
Answer: Option A
3. A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
    A. 7 B. 8 C. 9 D. 10
Answer: Option D
4. If one-third of one-fourth of a number is 15, then three-tenth of that number is:
    A. 35 B. 36 C. 45 D. 54
Answer: Option D
5. Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
    A. 9 B. 11 C. 13 D. 15
Answer: Option D
1. A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
    A. 3.75 days B. 4 days C. 5 days D. 6 days
Answer: Option A
2. A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
    A. 20 days B. 16 days C. 24 days D. 28 days
Answer: Option C
3. A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
    A. 10 days B. 20 days C. 5 days D. 4 days
Answer: Option B
4. A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?
    A. 15 days B. 12 days C. 10 days D. 9 days
Answer: Option D
5. A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?
    A. 18 days B. 20 days C. 24 days D. 30 days
      Answer: Option C
1. The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
    A. 18% B. 9% C. 15% D. 6%
Answer: Option A
2. A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
    A. Rs.1000 B. Rs.1140 C. Rs.860 D. Rs.760
Answer: Option A
3. The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
    A. Rs.357 B. Rs.340 C. Rs.342 D. Rs.338
Answer: Option C
4. The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
    A. 3% B. 4% C. 5% D. 6%
Answer: Option B
5. A single discount equivalent to the discount series of 20%, 10% and 5% is?
    A. 25% B. 30% C. 31.6% D. 33.5%
Answer: Option C
1. 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 E. None of these
Answer: Option A
2. A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
    A. Rs. 4462.50 B. Rs. 8032.50 C. Rs. 8900 D. Rs. 8925 E. None of these
Answer: Option D
3. How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
    A. 3.5 years B. 4 years C. 4.5 years D. 5 years
Answer: Option B
4. A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?
    A. 3.6% B. 4.5% C. 5% D. 6% E. None of these
Answer: Option E
5. A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:
    A. Rs. 2000 B. Rs. 10,000 C. Rs. 15,000 D. Rs. 20,000
Answer: Option C
1. A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:
    A. 6 hours B. 10 hours C. 15 hours D. 30 hours
Answer: Option C
2. Three pipes A, B and C can 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 the solution R in the liquid in the tank after 3 minutes?
    A. 5/11 B. 6/11 C. 7/11 D. 8/11
Answer: Option B
3. A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
    A. 20 hours B. 25 hours C. 35 hours D. Cannot be determined E. None of these
Answer: Option C
4. Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?
    A. 1 hour B. 2 hours C. 6 hours D. 8 hours
Answer: Option C
5. A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
    A. 15 min B. 20 min C. 27.5 min D. 30 min
Answer: Option D
1. Three unbiased coins are tossed. What is the probability of getting at most two heads?
    A. 3/4 B. 1/4 C. 3/8 D. 7/8
Answer: Option D
2. What is the probability of getting a sum 9 from two throws of a dice?
    A. 1/6 B. 1/8 C. 1/9 D. 1/12
Answer: Option C
3. In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
    A. 21/46 B. 25/117 C. 1/50 D. 3/25
Answer: Option A
4. In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
    A. 1/10 B. 2/5 C. 2/7 D. 5/7
Answer: Option C
5. 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
Answer: Option C
1. 10, 25, 45, 54, 60, 75, 80
    A. 10 B. 45 C. 54 D. 75
Answer: Option C
2. 396, 462, 572, 427, 671, 264
    A. 396 B. 427 C. 671 D. 264
Answer: Option B
3. 6, 9, 15, 21, 24, 28, 30
    A. 28 B. 21 C. 24 D. 30
Answer: Option A
4. 41, 43, 47, 53, 61, 71, 73, 81
    A. 61 B. 71 C. 73 D. 81
Answer: Option D
5. 3, 5, 7, 12, 17, 19
    A. 19 B. 17 C. 5 D. 12
Answer: Option D
1. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
    A. 6.25 B. 6.5 C. 6.75 D. 7
Answer: Option A
2. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
    A. 0 B. 1 C. 10 D. 19
Answer: Option D
3. The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
    A. 76 kg B. 76.5 kg C. 85 kg D. Data inadequate E. None of these
Answer: Option C
4. The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
    A. 3500 B. 4000 C. 4050 D. 5000
Answer: Option B
5. The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
    A. 35 years B. 40 years C. 50 years D. None of these
Answer: Option B
1. A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:
    A. Rs. 120 B. Rs. 121 C. Rs. 122 D. Rs. 123
Answer: Option B
2. The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is:
    A. 625 B. 630 C. 640 D. 650
Answer: Option A
3. There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?
    A. Rs. 2160 B. Rs. 3120 C. Rs. 3972 D. Rs. 6240 E. None of these
Answer: Option C
4. What is the difference between the compound interests on Rs. 5000 for 1 years at 4% per annum compounded yearly and half-yearly?
    A. Rs. 2.04 B. Rs. 3.06 C. Rs. 4.80 D. Rs. 8.30
Answer: Option A
5. The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is:
    A. 3 B. 4 C. 5 D. 6
Answer: Option B
1. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
    A. 360 B. 480 C. 720 D. 5040 E. None of these
Answer: Option C
2. In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
    A. 810 B. 1440 C. 2880 D. 50400 E. 5760
Answer: Option D
3. In how many ways can the letters of the word 'LEADER' be arranged?
    A. 72 B. 144 C. 360 D. 720 E. None of these
Answer: Option C
4. How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
    A. 5 B. 20 C. 15 D. 10
Answer: Option B
5. In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
    A. 63 B. 90 C. 126 D. 45 E. 135
Answer: Option A
1. A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
    A. 120 m B. 240 m C. 300 m D. None of these
Answer: Option B
2. A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
    A. 230 m B. 240 m C. 260 m D. 270 m
Answer: Option D
3. Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:
    A. 30 km/hr B. 45 km/hr C. 60 km/hr D. 75 km/hr
Answer: Option C
4. A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
    A. 5 sec B. 6 sec C. 7 sec D. 10 sec
Answer: Option B
5. A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:
    A. 45 m B. 50 m C. 54 m D. 72 m
Answer: Option B
1. The cost of 2 chairs and 3 tables is Rs.1300. The cost of 3 chairs and 2 tables is Rs.1200. The cost of each table is more than that of each chair by?
    A. Rs.70 B. Rs.75 C. Rs.50 D. Rs.60 E. None of these
Answer: Option E
2. Solve the equation for x : 19(x + y) + 17 = 19(-x + y) - 21
    A. -1 B. -2 C. -3 D. -4 E. None of these
Answer: Option A
3. The cost of 10 kg of apples is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is Rs.20.50. Find the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour?
    A. Rs.849.40 B. Rs.877.40 C. Rs.901.60 D. Rs.815.20 E. None of these
Answer: Option B
4. Mudit's age 18 years hence will be thrice his age four years ago. Find Mudit's present age?
    A. 12 years B. 21 years C. 18 years D. 9 years E. None of these
Answer: Option E
5. The present average age of a couple and their daughter is 35 years. Fifteen years from now, the age of the mother will be equal to the sum of present ages of the father and the daughter. Find the present age of mother?
    A. 43 years B. 40 years C. 48 years D. 45 years E. None of these
Answer: Option D
1. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
    A. 2 : 5 B. 3 : 5 C. 4 : 5 D. 6 : 7
Answer: Option C
2. Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
    A. 2 : 3 : 4 B. 6 : 7 : 8 C. 6 : 8 : 9 D. None of these
Answer: Option A
3. In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is:
    A. 20 litres B. 30 litres C. 40 litres D. 60 litres
Answer: Option D
4. The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?
    A. 3 : 3 : 10 B. 10 : 11 : 20 C. 23 : 33 : 60 D. Cannot be determined
Answer: Option C
5. The fourth proportional to 5, 8, 15 is:
    A. 18 B. 24 C. 19 D. 20
Answer: Option B
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