NDA Download Sample Question Papers 03

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NDA Download Sample Question Papers 04

1) If 8 men and 12 boys can finish a piece of work in 12 days, in what time will 40 men' and 45 boys finish another piece of work 3 times as great, supposing that 16 men can do as much work in 8 hours as 12 boys can do in 24 hours?

(a) 8 (b) 6 (c) 9 (d) NONE OF THESE

Ans: (a) 16 men's work in 8 hours = 12 boys work in 24 hours :

or 128 men's work in 1 hour = 288 boy's work in 1 hour

:. 128 men = 288 boys

or 1 man = 288/128 = 9/4 boys,

8 men + 12 boys = 8 x 9/4 boys + 12 boys

. = 18 boys + 12 boys = 30 boys

and 40 men + 45 boys = 40 x 9/4 boys + 45 boys

= 90 boys + 45 boys = 135 boys

days required

the requried number of the days =

=8 Ans

1) A-person invested Rs. 6600 partly in % at 105 and partly in 4 percent at 104. Find the investment in each if the income derived from both investments is Rs. 240

(a) Investment = Investment 4% =

(b) Investment = Investment 4% =

(c) Investment = Rs 3900 Investment 4% = Rs 2700

(d) NONE OF THESE

1) . The average age of a cricket team is decreased by 2 when two Senior members aged 32 and 30 are replaced by 2 young members of equal age. Then the age of two members is

(a) 20 years (b) 22 years (c) 24years (d) 26years

Ans: (a) Since there are 11members in a cricket team, the age of the two members must be

= (32 + 30) - 2 x 11 = 40 years

:. the age of the new member = 40 ÷ 2 = 20 years

Q.45 What is the area of the shaded portion

(a) 6 - 2 ? r (b) 6 - 4 ? r (c) 32- 8 ? (d) 32 - 4 ?

Ans: (c) Shaded portion's area = Area of the rectangle - area of two equal circles

= 8 x 4 - 2 x ? x 22 = 32 - 8 ?

2) Store A gives 3 successive discounts of 10% each. Store B gives 2 successive discounts of 10% and 19%

respectively. If the market price of a given article is same then.

(a) It is cheaper to buy from store A (b ) It is cheaper to buy from store B

(c) it is equal for both (d) It depends upon the commodity.

Ans: (c)

3)Which of the following has the longest perimeter?

(a) a rectangle of side 12 cm having are a 84sq. cm.

(b) square of area 25 sq. cm.

(c) circle of radius 4 cm

2) There are 2000 men in a fort and had provisions for 39 days. After 19days reinforcement arrives ' and the provisions are now sufficient for 16 days. How many more men have cort1e?

(a} 500 men (b) 600men (c) 700men (d) NONE OF THESE ,

Ans:(a) After 19 day the provisions for 20 days were sufficient for 2000 men .

:. the provisions for 1 day were sufficient for 2000 x 20 men

the provisions for 16 days were sufficient for

1). The stock purchased by the investment of Rs. 3990 in 2 and half % at 95?

(a) Rs.3990 (b) Rs.4200. (c) Rs.4800 (d) NONE OF THESE

Ans: (b) By investing 95, the stock. purchased =Rs.100

By investing Re. 1, the stock 'purchased = Rs.100/95 .

By investing Rs. 3990 the stock purchased

= 100/95 x 3990 = Rs. 4200 Ans.

2) I invested Rs. 3100, partly in 3 percents at % and partly, in 2 and half percent at Rs. 75. If the incomes derived from

each is the same. Find the investment in each.

(a) At 3% =Rs. 1400; At % = Rs.I300

(b) At 3% =Rs. 1600; At % = Rs.1500 ,

(c) At 3% =Rs. 700; At % = 400

(d) NONE OF THESE

Ans: (b) Suppose the income in each case is Re. 1

Investment in 3%-= Rs. 96/3 = Rs. 32

Investment . % = Rs. = Rs.30

Ratio = 32 : 30 or 16 :15 ; total = 31

Investment in 3% = = Rs.l600

Investment in 2% = =Rs.1500

3) A & B can do the work in 6 days, B & C can do it in days and C & D can do it in days. How long will they

1) 'The units digit in the product 36. x 49 x 467 x 353 is 1. The missing digit in place of .is

(a) 9 (b) 5 (c) 7 (d) NONE OF THESE

Ans: a

2) The simplification of

(a) 33/1 ( b) 33/23 (c) 24/33: (d) NONE OF THESE

Ans: b

3) A dealer maries his goods 20% above cost price but allows a discount of 10% on the marked price: If a customer buys an article for Rs. 270, the cost price of the dealer is

(a) RS.230 (b) Rs.240 (c) Rs.250 (d) NONE OF THESE

Ans: c

4) A reduction of 10% in the price of sugar enables a person to buy 3.1 kg sugar more for Rs. 139.50. Ihe original price of sugar per kg is

(a) Rs.3.oo (b) Rs.4.00 (c) Rs.5.00 (d) NONE OF THESE

Ans: c

5) Divide 510 between A. Band C so that a gets 2/3 of what B gets and B gets 4 of what C gets.

Find the share of each

(a) 40,90,260 (b) 60,90,360 (c) 58,65,278 (d) NONE OF THESE

Ans: b

6) In a mixture of 35 liters the ratio of the milk and water is 4:1 If 7 liters of water is added to the mixture, then the ratio of milk and water in the resulting mixture will become

l By what least number must 217800 be multiplied in order to make it a perfect square?

(a) 3 (b) .2 (c) 1 (d) NONE OF THESE

Ans: b

2 A man undertakes to do a certain work/in 150 days. He employs 200 men. He finds that only a quarter of work is done in 50 days. How many additional men should be employed so that the whole work may be finished in time?

(a) 60 men (b) 70men (c) 100men (d) NONE OF THESE

Ans: c

4 If goods be purchased for Rs. 450and 1/3 rd be sold at a loss of 10 percent. At what gain (percent) should the

remainder be sold so as to gain 20 percent on the whole transaction?

(a) 20% (b) 25% (c) 35% (d) NONE OF THESE

Ans: c

5 What annual payment will discharge a debt of Rs.440due in 5 years - simple intrest being reckoned at 5 percent?

(a) Rs.60 (b) Rs.80 (c) Rs.90 (d) NONE OF THESE

Ans: ??

6 A and B can' do a piece of work: in 8 days. B and C in 10 days and C and A in 12 days respectively. All the three work for 2 days. Find how much time will A take to. finish the remainder alone

(a) days (b) 13 days (c)

days (d) NONE OF THESE

Ans: c

7 A can do a piece of work in 16 days. B in days and C in 32 days. All begin to do it together but A leaves after 4 days and B leaves 3 days before the completion of work. How long did the work last?

(a) 10days (b) 9 days (c) 6 days (d) NONE OF THESE

Ans: b

8 A and B can do a piece of work in 12 days after working for 2 days they are assisted by C who works at the same rate as A, and the work is finished in 6 i days more; in how many days can B alone do the work?

(a) 16days (b) 15days (c) 30days (d) NONE OF THESE

Ans: a

9 Three years ago the average age of a family of 5 members was 17. A baby having been born, the average age of the family is same today. What is the age of the baby.

(a) 3years (b) 2years (c) 2years (d) NONE OF THESE

Ans: b

I0 A boy multiplies a certain number by 637 and obtains166339as his answer. If both sixes are wrong and the other figures right, find the correct answer

(a) 167339 (b) 157339 (c) 153739 (d) NONE OF THESE

Ans: c

l1 Divide Rs. 2000 among A, Band C so that A may get Rs. 200 more than Band B Rs. 300 more than C

(a) A = Rs.900 ; B = Rs.= 700 ; C = RS.4oo

(b) A =Rs. 700; B = Rs = 900 ; C = Rs. 400

(c) A = Rs. 400 ; B =Rs.900 ; C =Rs. 700

Ans: b

(d) NONE OF THESE

Directions: From the following information answer the questions 12 and 13. The true length of a year is 365 days 5 hours, 48 minutes and 45 seconds. In every400 years there are 303 ordinary years and 97 leap years. .

12 Find the amount of error introduced in this way of reckoning

(a) 33 hours (b) 4 hours (c) 5hours (d) NONE OF THESE

Ans: (a) No. of days in 400 years are 303 x 365 + 97 x 366 days =146097 days

No of days in 400 years

days 365	Hours 5	mts 48	seconds 45 400
Total 146096 days & 21 hours

:. Difference = 3 hours .

13 In how many years will there be a difference of 1 day?

(a) 3100 (b) 3200 (c) 700 (d) NONE OF THESE

Ans: (b) Difference of 1 day in = 3200 years

14 Find thee greatest number which will divide 348, 534 and 596 leaving the remainder same in each case. .

(a) 62 (b) 31 (c) 72 (d) NONE OF THESE

Ans: (a)

15) Five bells began to toll together and to respectively at intervals of

seconds. How many times will they toll together in an hour

(a) 2 times (b) 3 times (c) 4times (d) NONE OF THESE

Ans: (b)

16) In an orchard 1/3 of the trees are orange trees, 1/3 are mangoes and the rest apple trees which are 91 in number. How many trees are there of each kind?

(a) Orange 39, mangoes 65 (b) Orange 40, mangoes 64

(c) Orange 65, mangoes 39 (d) NONE OF THESE

Ans: (a)

17) If 35 men working 8 hours a day can do a piece of work in 16days, how many hours a day must 40 men work to finish the work in 14 days?

(a) 8 hours (b) 6 hours (c) 5 hours (d) NONE OF THESE

Ans: (a)

18 ) 55 men can finish a piece of work in 42 days, how many additional men must be angaged to complete the work 9 days sooner?

(a) 15 (b) 16 (c) 18 (d) NONE OF THESE

Ans: (a) The number of days decreases therefore the number of men will increase. Hence make the lesser number of days the first quantity the greater the second quantity and the given number of men the third quantity and keep the required number of

men as the fourth quantity of a proportion.

:. No. of men = = 70

Hence the number of extra men 70 - 55 = 15 Ans.

1) If 21 men can do a piece of work in 50 days in how many days will 35 men can do the same piece of work?

(a) 25 days (b) 30 days (c) 20days (d) NONE OF THESE

Ans:(b) . if the time is inversely proportional to the number of men employed :. 35 :21 : : 50 days: No. of days

= 30 days

2) The present population of a town is 14400 and the annual increase is 2.5 percent. What will be the population in 2 years?

(a) 15000 (b) 15129 (c) 14028 (d) NONE OF THESE

3) A sum of money at simple interest amounts to Rs. 2,240 in two years and Rs. 2,600 in five years. What is the principal amount?

(a) Rs. 2200 (b) RS. 2000 (c) Rs.3ooo (d) NONE OF THESE

Ans: a

4) What will be the amount payable after 2 years if Rs. 10,000 are borrowed at the rate of 10% compound interest?

(a) 12000 (b) 12100 (c) 13100 (d) NONE OF THESE

Ans: b

Directions : Q. 23-27. Study the following graph carefully and answer the questions given below it.

No. of Branches of five Banks in Urban and Rural Areas

5) What is the total number of rural branches of all the five banks together?

(a) 700 (b) 875 (c) 890 (d) NONE OF THESE

Ans: b

6) What is the ratio of rural branches to the urban branches in bank C?

(a) 2 : 3 (b) 4 : 3 (c) 3 : 4 (d) NONE OF THESE

Ans: c

7) In the case of which of the following pairs of banks is the total number of branches of each of the two banks the same?

(a) B & C (b) A & C (c) B & E. (d) NONE OF THESE

Ans: b

8) In the case of which of the following banks is the total number of branches the least?

(a) A (b) E (c) C (d) NONE OF THESE

Ans: b

9) If banks Band C are merged together ,what will be the ratio of urban branches to rural branches?

(a) 1:3 (b) 2:1 (c) 1:1 (d) NONE OF THESE

Ans: c

10) In an examination A who gets 30% of full marks fails by 30 marks and B who gets36marks gets .36 more than pass marks. Find the total number of marks

(a) 1100 (b) 900 (c) 1000 (d) NONE OF THESE

Ans: a

11) A man sells an article at a loss of 3 percent. Had he sold it for Rs. 12 more he

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