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# Analytical Skill Building 2nd set Solved Assignment

Q1. A merchant buys 200 kg of rice at Rs. 7.25 per kg. , 400 kg. of rice at Rs 5.75 per kg. He mixes them and sells one-third of the mixture at Rs. 6 per kg. . At what rate should he sell the remaining mixture so that he may earn a profit of 20% on the whole outlay ?
Q2: From the salary of an officer 10% is deducted as house rent ; 15% of rest spend on children’s education ;10% of the balance he spends on cloths . After the expenditure, he is left with Rs 27540 . Find the salary
Q3: A sample of x litres from a container having a 60 litre mixture of milk and water containing milk and water in the ratio of 2 : 3 is replaced with pure milk so that the container will have milk and water in equal proportions. What is the value of x?
Q4: I start from my house for the college at a certain fixed time. If I walk at rate of 5 km an hour , I am late by 7 minutes . However , if I walk at rate of 6 km an hour , I reach college I reach 5 minutes earlier than the scheduled time . Find the distance of college from my house .
Q5: Who among Siddhartha, Nikunj, Vipul and Mukul is the youngest?
Statements:
I. Vipul is younger than Mukul but older than Siddhartha and Nikunj.
II. Mukul is the oldest.
III. Siddhartha is older than Nikunj.
Which two statements are correct ? Give reason .
6 A rectangular lawn 60 metres by 40 meters has two roads each 5 metre wide , running in the middle of it ,one parallel to length and the other parallel to the breadth. Find the cost of gravelling them at Rs. 60 per square metre.
7 Define various types of numbers with examples .
8 An employer reduces the number of his employees in the ratio of 9:8 and increses their wages in the ratio of 14:15 . In what ratio the wages bill is incresed or decreased

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A soft drink company prepares drinks of three different flavours – X, Y and Z. The production of three flavours over a period of six years has been expressed in the bar graph provided below.

Production of Three Different Flavours X, Y and Z by a Company over the years (in lakh bottles)
Q.No 1: What was the approximate decline in the production of flavour Z in 2000 as compared to the production in 1998?
Q.No 2: What is the difference between the average production of flavour X in 1995, 1996 and 1997 and the average production of flavour Y in 1998, 1999 and 2000?
Q.No 3: For which of the following years the percentage of rise/fall in production from the previous year is the maximum for the flavour Y?

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Q1: 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): (3 : 4 : 6)
(C): (6 : 7 : 8)
(D): (6 : 8 : 9)

Q2. (112 x 54) = ?
(A): 7000
(B): 72200
(C): 70000
(D): 700

Q3. (935421 x 625) = ?
(A): 584638125
(B): 584638126
(C): 584638127
(D): 58463812

Q4. A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5 and 4, then the respective remainders will be
(A): 1,2
(B): 3,5
(C): 4,1
(D): 2,3

Q5. 287 x 287 + 269 x 269 – 2 x 287 x 269 = ?
(A): 534
(B): 324
(C): 354
(D): 446

Q6. 3 + 33 + 333 + 3.33 = ?
(A): 372.33
(B): 702
(C): 300
(D): 306.53

Q7. If the number 653 xy is divisible by 90, then (x + y) = ?
(A): 3
(B): 2
(C): 4
(D): 1

Q8. 3897 x 999 = ?
(A): 3893103
(B): 3893104
(C): 3893105
(D): 3893106

Q9. Statement: Should India encourage exports, when most things are insufficient for internal use itself?
Arguments:
I Yes. We have to earn foreign exchange to pay for our imports.
II No. Even selective encouragement would lead to shortages.
(A): Only argument I is strong
(B): Only argument II is strong
(C): Either I or II is strong
(D): Both I and II are strong

Q10. Statement:
Should India make efforts to harness solar energy to fulfil its energy requirements?
Arguments:
I Yes, Most of the energy sources used at present is exhaustible.
II No. Harnessing solar energy requires a lot of capital, which India lacks in.
(A): Either I or II is strong
(B): Only argument II is strong
(C): Only argument I is strong
(D): Both I and II are strong

Q11. Statement:
Should children be legally made responsible to take care of their parents during their old age?
Arguments:
I Yes. Such matter can only be solved by legal means.
II Yes. Only this will bring some relief to poor parents.
(A): Either I or II is strong
(B): Neither I nor II is strong
(C): Only argument I is strong
(D): Both I and II are strong

Q12. The cost price of 20 pens is the same as the selling price of x pens. If the profit is 25%, then the value of x is:
(A): 25
(B): 18
(C): 15
(D): 16 [Ans]

Q13. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
(A): 250%
(B): 100%
(C): 70%
(D): 30%

Q14. A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
(A): 700 Apples
(B): 672 Apples
(C): 588 Apples
(D): 600 Apples

Q15. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
(A): 60%
(B): 57%
(C): 65%
(D): 90%

Q16. A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
(A): 8.4
(B): 3.6
(C): 7.2
(D): 10

Q17. The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
(A): 307200
(B): 155500
(C): 154600
(D): 153600

Q18. An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1and 2/3 hours, it must travel at a speed of:
(A): 720 kmph
(B): 600 kmph
(C): 360 kmph
(D): 300 kmph

Q19. A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
(A): 100 kmph
(B): 120 kmph
(C): 110 kmph
(D): 130 kmph

Q20. It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:
(A): (3:4)
(B): (2:3)
(C): (3:2)
(D): (4:3)

Q21. Which one of the following is not a prime number?
(A): 31
(B): 61
(C): 71
(D): 91

Q22. How many of the following numbers are divisible by 132 ?
264, 396, 462, 792, 968, 2178, 5184, 6336
(A): 4
(B): 5
(C): 6
(D): 7

Q23. The largest 4 digit number exactly divisible by 88 is
(A): 9944
(B): 9955
(C): 9988
(D): 8888

Q24. In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
(A): (7:3)
(B): (7:8)
(C): (3:7)
(D): (5:3)

Q25. A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:
(A): 650 kg
(B): 700kg
(C): 500kg
(D): 600kg

Q26. (1000)9 ÷ 1024 = ?
(A): 10000
(B): 100
(C): 1000
(D): 1000000

Q27. What is the area of the given rectangle?\
I. Perimeter of the rectangle is 60 cm.
II. Breadth of the rectangle is 12 cm.
III. Sum of two adjacent sides is 30 cm.
(A): I only
(B): II and either I or III
(C): I and II only
(D): II and III only

Q28. What is the cost painting the two adjacent walls of a hall at Rs. 5 per m2 which has no windows or doors?
I. The area of the hall is 24 sq. m.
II. The breadth, length and height of the hall are in the ratio of 4 : 6 : 5 respectively.
III. Area of one wall is 30 sq. m.
(A): I only
(B): II and either I or III
(C): I and II only
(D): II and III only

Q29. 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): 15 km
(B): 16 km
(C): 14 km
(D): 17 km

Q30. A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:
(A): 40
(B): 36 & 2/3
(C): 35
(D): 37 & 1/2

Q31. What is the area of the hall?
I. Material cost of flooring per square metre is Rs. 2.50
II. Labour cost of flooring the hall is Rs. 3500
III. Total cost of flooring the hall is Rs. 14,500.
(A): I only
(B): II and either I or III
(C): I and II only
(D): All I , II & III

Q32. 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 B’s share?
(A): 1500
(B): 2000
(C): 500
(D): None of these

Q33. The difference of the squares of two consecutive even integers is divisible by which of the following integers ?
(A): 3
(B): 6
(C): 4
(D): 7

Q34. Which one of the following is a prime number ?
(A): 119
(B): 187
(C): 551
(D): None of these

Q35. If A and B are odd numbers, then which of the following is even ?
(A): A+B
(B): A+B+1
(C): A-B
(D): A*B

Q36. A type of graph in which a circle is divided into sectors that each represent a proportion of the whole, is called
(A): Bar Graph
(B): Pie Chart
(C): Table Chart
(D): Line Chart

Q37. A diagram in which the numerical values of variables are represented by the height or length of lines or rectangles of equal width, is called
(A): Bar Graph
(B): Pie Chart
(C): Table Chart
(D): Line Chart

Q38. Tanya is older than Eric.
Cliff is older than Tanya.
Eric is older than Cliff.
If the first two statements are true, the third statement is
(A): TRUE
(B): FALSE
(C): UNCERTAIN
(D): CAN’T SAY

Q39. Tanya is older than Eric.
Cliff is older than Tanya.
Eric is older than Cliff.
If the first two statements are true, the third statement is
(A): TRUE
(B): FALSE
(C): UNCERTAIN
(D): CAN’T SAY

Q40. Rover weighs less than Fido.
Rover weighs more than Boomer.
Of the three dogs, Boomer weighs the least.
If the first two statements are true, the third statement is
(A): TRUE
(B): FALSE
(C): UNCERTAIN
(D): CAN’T SAY

Analytical Skill Building 1

Analytical Skill Building 2nd set Solved Assignment
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