**LIC (ADO) RECRUITMENT EXAM SOLVED PAPER****(Held on 10-6-2007)**

**NUMERICAL ABILITY**

Directions—(Q. 1 to 25) What should come in place of the question-mark (?) in the following questions ?

1. 15·36 ´ 2·8 + 7·6 = ?

(A) 326·86 (B) 42·364

(C) 50·608 (D) 36·34

(E) None of these

2. 846 + 281 + (?) + 252 = 681

(A) 446 (B) 698

(C) – 446 (D) – 698

(E) None of these

3. = ?

(A) 0·8 (B) 8·10

(C) 10·5 (D) 0·81

(E) None of these

4. 39114 ÷ 246 ´ ? = 6201

(A) 37 (B) 39

(C) 43 (D) 41

(E) None of these

5. ´ + (85)2 = ?

(A) 7270 (B) 7280

(C) 7260 (D) 7250

(E) None of these

6. (7)3 ´ (3)3 ÷ (6)2 = ?

(A) 12348 (B) 85·75

(C) 1543·5 (D) 257·25

(E) None of these

7. ´ (?) =

(A) (B)

(C) (D)

(E) None of these

8. 39% of ? – 24% of 390 = 171·60

(A) 650 (B) 580

(C) 740 (D) 630

(E) None of these

9. 8736 + 9121 + 4867 + 3308 = ?

(A) 26032 (B) 26320

(C) 23062 (D) 22603

(E) None of these

10. = ?

(A) 59 (B) 67

(C) 61 (D) 57

(E) None of these

11. 7 – 6 = ?

(A) 1 (B) 1

(C) 1 (D) 1

(E) None of these

12. = ?

(A) (B) 4

(C) (D) 2

(E) None of these

13. (666 ´ 66 ´ 6) ÷ ? = 499·5

(A) 462 (B) 532

(C) 540 (D) 396

(E) None of these

14. 3120 + ? ÷ 12·5 = 3563·36

(A) 5542 (B) 5446

(C) 5452 (D) 5354

(E) None of these

15. 449 ´ 367 = ?

(A) 164783 (B) 165681

(C) 164416 (D) 164049

(E) None of these

16. ´ = ?

(A) (B)

(C) (D)

(E) None of these

17. (51)2 – (47)2 + (32)2 = ?

(A) 3786 (B) 2596

(C) 1416 (D) 1296

(E) None of these

18. ÷ 4 ´ 26 = 247

(A) 1764 (B) 1296

(C) 1444 (D) 1369

(E) None of these

19. 0·576 + 2·4 ´ 1·5 = ?

(A) 2·874 (B) 4·276

(C) 2·8824 (D) 4·476

(E) None of these

20. = 17(?)

(A) 1·62 (B) 2·64

(C) 11·1 (D) 29·06

(E) None of these

21. ? + 3229 = 17368 – 4454

(A) 9676 (B) 9445

(C) 9658 (D) 9585

(E) None of these

22. ´ = ?

(A) 2793 (B) 2842

(C) 2679 (D) 2891

(E) None of these

23. ´ ? + 595 = 833

(A) 4480 (B) 4352

(C) 4608 (D) 4096

(E) None of these

24. 815964 – 697826 – 9674 – 6542 = ?

(A) 109122 (B) 101292

(C) 101922 (D) 110922

(E) None of these

25. (7928 – ?) ÷ 84 ´ 12 = 888

(A) 1705 (B) 1698

(C) 1710 (D) 1712

(E) None of these

26. Find out the average of the given numbers.

356, 449, 51, 652, 533, 105, 122

(A) 307 (B) 315

(C) 412 (D) 324

(E) None of these

27. The multiplication of two con-secutive numbers is 8556. What is the smaller number among them ?

(A) 94 (B) 92

(C) 91 (D) 93

(E) None of these

28. An amount of rupees 4500 is to be distributed among Shrikant, Ramakant and Bikrant in the ratio of 3 : 7 : 5 respectively. If Rs. 500 is added to each of the share, the new ratio will become…… ?

(A) 7 : 10 : 13 (B) 9 : 16 : 13

(C) 2 : 4 : 3 (D) 4 : 5 : 2

(E) None of these

29. If (67)2 is added to the square of a number, the addition thus obtained is 6605. What is that number ?

(A) 45 (B) 51

(C) 46 (D) 39

(E) None of these

30. What approximate value should come in place of the question-mark (?) in the following ques-tion ?

7686 ´ 19 ÷ (17)2 = ?

(A) 505 (B) 485

(C) 545 (D) 575

(E) 615

31. If an amount of Rs. 39,856 is distributed equally amongst 18 persons, how much approximate amount would each person get ?

(A) Rs. 2,214 (B) Rs. 2,524

(C) Rs. 2,124 (D) Rs. 2,343

(E) Rs. 2,254

32. The difference between a two-digit number and the number obtained by interchanging the two-digits of the same number is 9. The sum of the digits of the two-digit numbers is 17. What is the product of the two-digits of the two-digit number ?

(A) 64

(B) 63

(C) 72

(D) Cannot be determined

(E) None of these

33. What is 260% of 6680 ?

(A) 18036 (B) 18704

(C) 16700 (D) 17368

(E) None of these

34. What amount of compound interest can be obtained on an amount of Rs. 18,000 at the rate of 10 p.c.p.a. at the end of three years ?

(A) Rs. 5,628 (B) Rs. 5,400

(C) Rs. 5,940 (D) Rs. 5,858

(E) None of these

35. What should come in place of the question-mark (?) in the follow-ing number series ?

19 36 70 ? 274 546

(A) 142 (B) 138

(C) 136 (D) 140

(E) None of these

36. The difference between 60% of a number and 20% of the same numbr is 316. What is 35% of that number ?

(A) 270·5 (B) 285·5

(C) 276·5 (D) 275

(E) None of these

37. The average of 4 positive integers is 52·5. The highest integer is 76 and the lowest integer is 34. The difference between the remain-ing two integers is 4. Which of the following integers is higher of the remaining two integers ?

(A) 52

(B) 54

(C) 48

(D) Cannot be determined

(E) None of these

38. The ratio of the length and the breadth of a rectangular plot is 9 : 8 respectively. The area of the plot is 3528 sq. metres. What is the perimeter of the rectangular plot ?

(A) 256 metres

(B) 119 metres

(C) 238 metres

(D) 126 metres

(E) None of these

39. What is 876 times 779 ?

(A) 68214 (B) 68824

(C) 628402 (D) 682514

(E) None of these

40. The total number of students studying in a school is 10396. The ratio of the total number of girls to the total number of boys studying in the school is 52 : 61 respectively. What is the total number of girls studying in the school ?

(A) 4874 (B) 4784

(C) 5216 (D) 5612

(E) None of these

41. The present age of Mr. Deepak is 3 times the present age of his son. Five years hence the ratio of their ages will be 34 : 13 respecti-vely. What is the present age of Mr. Deepak ?

(A) 63 years (B) 68 years

(C) 58 years (D) 60 years

(E) None of these

42. In an examination it is required to get 36% of the aggregate marks to pass. A student gets 174 marks and is declared failed by 96 marks. What is the maximum aggregate marks a student can get ?

(A) 750

(B) 650

(C) 600

(D) Cannot be determined

(E) None of these

43. In the following number series one number is wrong. Find out the wrong number—

13 16 22 31 42 58

(A) 16 (B) 42

(C) 22 (D) 31

(E) None of these

44. The average of 5 consecutive even numbers A, B, C, D and E is 66. What is the product of B and E ?

(A) 4352 (B) 4340

(C) 4620 (D) 4224

(E) None of these

45. Shri Verma invests Rs. 14500 for 6 years at the certain rate of simple interest. After 6 years his invested sum becomes Rs. 21460. Find out the rate of interest per annum—

(A) 4% p.a. (B) 10% p.a.

(C) 6% p.a. (D) 8% p.a.

(E) None of these

46. The cost of 4 digital cameras and 6 mobile phones is Rs. 51,365. Find out the cost of 12 digital cameras and 18 mobile phones—

(A) Rs. 1,74,500

(B) Rs. 5,13,650

(C) Rs. 1,54,095

(D) Can’t be determined

(E) None of these

47. In how many ways 7 children can be seated in the available 7 seats ?

(A) 4050 (B) 1680

(C) 840 (D) 5040

(E) None of these

48. If x + y = 11 and xy = 28, find out the value of the expression

(x)2 + (y)2.

(A) 63

(B) 56

(C) 65

(D) Can’t be determined

(E) None of these

49. In a canteen 238 kgs. of rice is required for a week. How much rice is required for 49 days ?

(A) 1715 kg (B) 1764 kg

(C) 1568 kg (D) 1617 kg

(E) None of these

50. The circumference of a circular plot is 484 metre. Find out the area of that circular plot—

(A) 15246 metre2

(B) 18634 metre2

(C) 20328 metre2

(D) 13552 metre2

(E) None of these

Answers with Explanations

1. (c) 2. (D) 3. (e) 4. (b) 5. (a)

6. (d) 7. (b) 8. (e) 9. (a) 10. (c)

11. (b) 12. (d) 13. (e) 14. (A) 15. (a)

16. (d) 17. (c) 18. (c) 19. (e) 20. (b)

21. (e) 22. (a) 23. (b) 24. (c) 25. (d)

26. (d)

27. (b) Let the first numbr be ‘n’, then from problem,

n (n + 1) = 8556

n2 + n – 8556 = 0

n2 + 93n – 92n – 8556 = 0

n (n + 93) – 92 (n + 93) = 0

(n + 93) (n – 92) = 0

Either, n = – 93

or n = 92

But the value of n cannot be less than zero i.e. negative.

n = 92

Thus the two numbers are 92 and 93, among them 92 is smaller one.

28. (e) From Problem,

The amount to be given to Shrikant

= = Rs. 900

Similarly Ramakant’s share

= = Rs. 2100

and Bikrant’s share =

= Rs. 1500

Required ratio

= (900 + 500) : (2100 + 500) : (1500 + 500)

= 1400 : 2600 : 2000

= 7 : 13 : 10

29. (C) Let the required number be ‘n’, then from problem,

(67)2 + n2 = 6605

n2 = 6605 – 4489

= 2116

n = = 46

30. (a)

31. (a) From problem,

The amount which is to be given to each of persons

=

= 2214·222 … Rs. 2214

32. (c) Let the original two digit number be (10x + y), where y and x are the unit digit and tens digit respectively.

The number obtained by chang-ing the place of the digits of the original two digit number

= (10y + x)

From problem, we have

(10x + y) – (10y + x) = 9

9 (x – y) = 9

i.e. (x – y) = 1 …(i)

Again from problem,

x + y = 17 …(ii)

Solving equation (i) and (ii), we get

x = 9

and y = 8

\ Required product

= x ´ y

= 9 ´ 8 = 72

33. (d) Required number

= 6680 ´ 2·6

= 668 ´ 26

= 17368

34. (e) We know

A = p t

Here, A = 18000 3

= 18000 ´ 3

= 18 ´ 11 ´ 11 ´ 11

= 23958

\ Compound Interest (C. I.)

= A – p

= 23958 – 18000

= Rs. 5958

35. (b)

36. (c) Let the number be ‘n’, then from problem,

(60% – 20%) of n = 316

40% of n = 316

35% of n = ´ 35

= 276·5

37. (a) Let the 4 positive integers, kept in descending order be a, b, c and d respectively. Then from problem,

a + b + c + d = 4 ´ 52·5

= 210

76 + (b + c) + 34 = 210

(b + c) = 100 …(i)

Again from problem,

b – c = 4 …(ii)

Solving (i) and (ii), we get

b = 52

and c = 48

Required answer = b = 52

38. (c) Let PQRS be any rectangular plot in which its length PQ = 9x mts. and the breadth QR = 8x mts.

From the geometry of the figure,

Area (PQRS) = 9x ´ 8x

3528 = 72 x2

x2 = = 49

x = 7

Perimeter of the rectangular plot

= 2 (9x + 8x)

= 2 ´ 17x

= 34 ´ 7

= 238 metres

39. (e) 779 ´ 876 = 682404

40. (b) From problem,

The total no. of students in the school = 10396

and ratio of no. of girls : boys

= 52 : 61

The total no. of girls in that school

=

=

= 92 ´ 52 = 4784

41. (a) Let the present age of Deepak’s son = x years.

Then from problem,

Deepak’s present age = 3x years

=

39x + 65 = 34x + 170

5x = 105

x = 21

Deepak’s present age = 3x

= 3 ´ 21 = 63 years

42. (a)

43. (b)

Thus in the given no. series 42 is wrong. Instead of 42, the correct no. is = 31 + 12 = 43.

44. (e) From problem,

A + B + C + D + E = 66 ´ 5 = 330

Let the 1st even number A be n, then

n + (n + 2) + (n + 4) + (n + 6) + (n + 8) = 330

5n + 20 = 330

5n = 310

n = 62

Thus the required product

= B ´ E = (n + 2) ´ (n + 8)

= 64 ´ 70 = 4480

45. (d) Using the formula,

S.I. =

(21460 – 14500) =

= r

r = 8

Hence the rate of interest per annum = 8%.

46. (c) From problem,

The cost of 4 Digital Cameras + 6 Mobile Phones = Rs. 51365

The cost of 4 Digital Cameras + 6 Mobile Phones ´ 3 = Rs. 51365 ´ 3

The cost of 12 Digital Cameras and 18 Mobile phones

= Rs. 1,54,095

47. (d)

48. (c) From problem,

x + y = 11,

and xy = 28

Now, (x + y)2 = x2 + y2 + 2xy

(11)2 = x2 + y2 + (2 28)

x2 + y2 = 121 – 56

x2 + y2 = 65.

49. (e) From problem,

Required weight of rice for 49 days

= 238 = 1666 kg

50. (b) Let r be the radius of the circular plot then from problem,

The circumference of the circular plot = 484 m

2pr = 484

r = 484

= 77 metre

Area of the circular plot = pr2

= (77)2

= 18634 m2

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