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51.

A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 4 rows or 5 rows or 6 rows, then no tree will be left. Find the least

Answer»

60



The LEAST NUMBER of TREES that are REQUIRED = LCM(4, 5, 6) = 60.

52.

What is the difference between the local values of 3 in the number 53403?

Answer»

2997



3000 – 3 = 2997

53.

A certain number of two digits is three times the sum of its digits. If 45 be added to it, the digits are reversed. The number is:

Answer»

27



27

54.

What least number should be added to 8602 to make it a perfect square ?

Answer»

47



So, (93)² = 8649
So, the required NUMBER to be added to make a perfect SQUARE = 8649 - 8602 = 47

55.

Which of the following number is divisible by 4 and 9?

Answer»

2736



For a NUMBER to be DIVISIBLE by 4, the number formed by the last two digits of that number MUST be divisible by 4.

For a number to be divisible by 9, the sum of its digits must be divisible by 9.

Among the choices, choices (a) and (b) are divisible by 4 but of the first two choices, only CHOICE (b) is divisible by 9.

Hence choice (b) is divisible by both 4 and 9.

56.

The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is:

Answer»

12



Let the numbers be x and (22 - x). Then,

5x = 6(22 - x) 

11x = 132 => x = 12

So, the numbers are 12 and 10.

57.

If the fraction 8/6, 7/5, 18/13, 9/5 and 7/11 are arranged in descending order of their values, which one will be the second ?

Answer»

7/5



8/6 = 1. 333, 7/5 = 1.4, 18/13 = 1.384
9/5 = 1.8 and 7/11 = 0.636
Therefore, DESCENDING ORDER is 9/5 > 7/5 > 18/13 > 8/6 > 7/11
Therefore Second FRACTION is 7/5

58.

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?

Answer»

10, 5



x + y = 152

x – 3Y = 5

x = 10 y = 5

59.

Find the greatest number which divides 83, 125 and 209 leaving the same remainder in each case.

Answer»

42



The greatest number which divides THREE dividends p, q and R leaving the same remainder in each case is given by H.C.F(any two of (q - p), (r - p) and (r - q)).

For the given problem, p = 83, q = 125 and r = 209.

Hence the greatest number which divides these three leaving the same remainder in each case is H.C.F(any two of (125 - 83, 209 - 83, 209 - 125) = 42.

60.

The square root of 0.0081 is:

Answer»

0.09



0.09

61.

Find the least value of 3x + 4y if x2y3 = 6.

Answer»

10



10

62.

65 x 288 ÷ 52 = 1.8 x ?

Answer»

200



? = 65x288/52x1.8 = 200

63.

What least number must be subtracted from 2641 so that the remainder left, when divided by 10,15 and 25, is 7 in each case ?

Answer»

84



LCM of 10, 15, 25 = 150
When we drive 2641 by 150 the REMAINDER is 91.
But the remainder should be 7.
So, the number to be subtracted from 2641 is 91 - 7 = 84.

64.

{(742)² ÷ 36} ÷ 2 = ?

Answer»

420.5



? = (174 X 174/36) ÷ 2 = 841/2 = 420.5

65.

Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?

Answer»

14



In this series, each number is REPEATED, then 13 is SUBTRACTED to ARRIVE at the NEXT number.

66.

√343 = ?

Answer»

18



? = √343 = 18

67.

6.4 x 8.5 x 25/3.2 x 12.5 = ?

Answer»

3.4



? = 6.4 X 8.5 x 2.5/3.2 x 12.5 = 3.4

68.

Three numbers which are co-prime to one another are such that the product of the first two 551 and that of the last two is 1073. The sum of the three numbers is

Answer»

85



85

69.

Which one of the following represents the sum of the first n even numbers?

Answer»

N(N “ 1)



N (N + 1)

70.

If a number is subtracted from its square we get 272. Find the number?

Answer»

17



x2 – X = 272 => x =17

71.

A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits?

Answer»

12



x * 3/5 * 1/5 = 9

x = 75 => 7 + 5 = 12

72.

When 102 is reduced from a number, the number gets reduced by 88%. What is that number ?

Answer»

850



850

73.

A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after one year service. He served only for 9 months and received uniform and Rs.650, find the price of the uniform?

Answer»

Rs.100



9/12 = 3/4 * 900 = 675

74.

35%of ?=242

Answer»

693



693

75.

What is the value of ? in the following equations ? 72/? = ?/50

Answer»

60



(?)² = 72 X 50
= (6 x 6 x 2) x (5 x 5 x 2)
= (6 x 5 x 2)²
 = (60)²
∴ ? = 60

76.

74698 + 365 + 85213 + 95 = ?

Answer»

160371



? = 74698 + 365 + 85213 + 95 = 160371

77.

In a division sum, the quotient is 120, the divisor 456 and the remainder 333, find the dividend?

Answer»

55053



120 * 456 + 333 = 55053

78.

Find the least number which when divided by 35 and 11 leaves a remainder of 1 in each case.

Answer»

384



NA

79.

What number should replace both the question marks (?) in the following question ?

Answer»

84



84

80.

Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next?

Answer»

15



This ALTERNATING addition series begins with 3; then 1 is ADDED to give 4; then 3 is added to give 7; then 1 is added, and so on.

81.

The average of 7 consecutive even numbers A, B, C, D, E, F and G is 36. What is the product of ' C and 'E' ?

Answer»

1292



A + B + C + D + E + F + G/7 = 36
Therefore, D = 36
Therefore, C = 34,

82.

If three eighth of a number is 141. What will be the approximately value of 32.08% of this number?

Answer»

120



X * 3/8 = 141 => x= 376

376 * 32.08/100 = 120

83.

If the difference between the squares of two consecutive numbers is 47, what is the smaller number ?

Answer»

23



Let the NUMBERS be (X + 1) and x.
Therefore, (x + 1)² - x² = 47
x² + 2X + 1 - x² = 47
2x + 1 = 47
Therefore, x = 46/2 = 23

84.

(12.11)2 + (?)2 = 732.2921

Answer»

24.2



24.2

85.

Find the smallest number which should be multiplied with 520 to make it a perfect square.

Answer»

NONE of these



NA

86.

How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336

Answer»

4



132 = 11 * 3 * 4

Clearly, 968 is not DIVISIBLE by 3

None of 462 and 2178 is divisible by 4

And, 5284 is not divisible by 11

Each one of the remaining four NUMBERS is divisible by each one of 4, 3 and 11.

So, there are 4 such numbers.

87.

17580 x 1.8 - 13720 x 2.1 = ? x 2.4

Answer»

1180



2.4 X ? = 31644 - 28812 = 2832
∴ ? = 2832/2.4
= 1180

88.

Complete the series : 1, 2, 3, 5, 8, 13 ....

Answer»

1



1

89.

(4.6 x 2.8 x 5.5) - (3.2 x 4.5 x 2.8) = ?

Answer»

30.52



? = (4.6 X 2.8 x 5.5) - (3.2 x 4.5 x 2.8)

90.

5358 * 51 = ?

Answer»

273258



5358 * 51 = 5358 * (50 + 1

= 5358 * 50 + 5358 * 1

= 267900 + 5358 = 273258

91.

The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is:

Answer»

290/289



Let the NUMBERS be a and b. Then,

AB = 17, a = 1 and b = 17

So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2
 

= (12 + 172)/(1 * 17)2 = 290/289

92.

A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?

Answer»

8



Let the number be x. Then,

3(2x + 9) = 75

2x = 16 => x = 8

93.

Look at this series: 5.2, 4.8, 4.4, 4, ... What number should come next?

Answer»

3.6



In this SIMPLE SUBTRACTION SERIES, each NUMBER DECREASES by 0.4.

94.

16.23 x 12.9 + 17.32 = ?

Answer»

226.687



? = 16.23 X 12.9 + 17.32
= 209.367 + 17.32
= 226.687

95.

A bag contains eighteen 25-paise coins, seventeen 50-paise coins, twentytwo one-rupee coins, nine 2-rupee coins and three 5-rupee coins. What is the total amount in the bag (Ans in rupees) ?

Answer»

RS. 68



Total = 18/7 + 17/2 + 22 + 9 x 2 + 3 x 5

96.

3√68921 = ?

Answer»

41



? = 3√68921
= 3√41 X 41 x 41
= 41

97.

7.8 x 4.5 x 4.2/0.14 = ?

Answer»

1053



7.8 X 4.5 x 4.2/0.14
 = 1053

98.

A number consists of two digits whose sum is 8. If 18 is subtracted from the number, the place of digits get interchanged. Find the number.

Answer»

53



Suppose the digit at unit's places is y and that at ten's places is X.
Then, the number = 10x + y,
ACCORDING to the question.x + y = 8 .......(i)
Again 10x + y - 18
= 10Y + x= 10x + y - 10y - x = 18
= x - y = 2 ............(iii)
From, equation (i) and (iii) we get 
x + y = 8
x - y = 2
2x = 10
= x = 5 and y = 3
∴ number = 10 x 5 + 3 = 53

99.

If 2^(2x-1) = 8^(3-x), then the value of x is:

Answer»

2



2

100.

Four-fifth of a number is 10 more than two-third of the same number. What is the number?

Answer»

75



75