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101.

If the letters of the word PREVIOUS be arranged at random, what is the probability that all the vowels come together ?

Answer»

1/14



There are total eight letters 
∴ n(S) = 8PB = 8!
As all vowels should come TOGETHER we assume them as one letter.
 Here E, I, O and U together are taken as one, so the number of letter is 4 + 1 = 5 and it can be arranged in 5P5 = 5! WAYS and the vowels can be arranged in 4! ways among themselves
∴ n(E) = 4! x 5!
∴ P(E) = 4!5! / 8!

102.

The product of two consecutive odd numbers is 4623. What is the product of the next two consecutive odd numbers ?

Answer»

5183



√4623 = 67
67 x 69 = 4623
∴ REQUIRED PRODUCT = 71 x 73

103.

In how many different ways can the letters of the word ANATOMY be arranged ?

Answer»

2520



Here total letters are 7 but A COMES twice.
Therefore, NUMBERS of arrangements = 7!/2! = 2520

104.

The difference between a two-digit number and the number obtained after interchanging its two digits is 36. The sum of the two digits of the number is 12. Find the lowest such possible number.

Answer»

48



Let the DIGITS be X and y
Therefore, x + y = 12 .............(1)
(10Y + x) - (10x + y)

105.

(12)² - (4.4)² - (0.04)² = ?

Answer»

124.6384



(12)² - (4.4)² - (0.04)²
= 144 - 19.36 - 0.0016
= 124.64 - 0.0016
= 124.6384

106.

Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively?

Answer»

65



NA

107.

If the average of two numbers is 88.5 and one number is 5.5 less than the average. Find out the next number.

Answer»

94



94

108.

The simplest form of 1.5 : 2.5 is :

Answer»

3 : 5



3 : 5

109.

What value should come in place of ? in the given number series ? 15, 51, 162, 498, 1509, ?

Answer»

4545



15, (15 + 2) x 3 = 51,
(51 + 3) x 3 = 162
(162 + 4) x 3 = 498, 
(498 + 5) x 3 = 1509
(1509 + 6) x 3 = 4545

110.

What is the sum of the local values of the digits 2, 3, 4, 5 in the number 2345?

Answer»

2345



2000 + 300 + 40 + 5 = 2345

111.

A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

Answer»

24



Let the ten's and unit's digit be x and 8/x respectively. 

Then, 

(10x + 8/x) + 18 = 10 * 8/x + x 

9X2 + 18x - 72 = 0 

X2 + 2x - 8 = 0 

(x + 4)(x - 2) = 0 

x = 2 

So, ten's digit = 2 and unit's digit = 4. 

Hence, REQUIRED NUMBER = 24.

112.

The sum of the ages of a son and father is 65 years. After 5 years the age of father will be double of the age of son. What is the age of son ?

Answer»

19 years



Let the age of the SON be X and the age of the father be y.
Therefore, x + y = 65

113.

Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next?

Answer»

15



In this alternating repetition series, the random NUMBER 21 is INTERPOLATED EVERY other number into an otherwise simple ADDITION series that INCREASES by 2, beginning with the number 9.

114.

What should come in place of question mark (?)? 8 : 1 1 : : 72:

Answer»

99



Let ? = X
Therefore 8 : 11 : 72 : x
Therefore x = (11 x 72) / 8 = 99

115.

If one-third of one fourth of a number is 15, then three-tenth of that number is:

Answer»

54



Let the number be X. Then,

1/3 of 1/4 of x = 15

x = 15 * 12 = 180

So, required number = (3/10 * 180) = 54.

116.

If the numberator of a fraction is increased by 50% and denominator by 20% the fraction become 9/15. What was the original fraction ?

Answer»

12/25



Let the FRACTION be x/y
We have 150x/120y = 9/15
= x/y = 12/25

117.

Twenty times a positive integer is less than its square by 96. What is the integer?

Answer»

24



NA

118.

In how many different ways can the letters of the word FORMULATE be arranged ?

Answer»

362880



No. of LETTERS = 9!

119.

(800 / 64) * (1296 / 36) = ?

Answer»

NONE of these



Given EXP.

= 800/64 * 1296/36 

= 12.5 * 36 = 450

120.

If x + y = 61 and xy = 888, What is the value of x²+ y² ?

Answer»

1945



Because (X + y)²

121.

How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together?

Answer»

9



(700300)/42 = 9 22/42 => 9 Numbers

122.

A trader sells 40 metres of cloth for Rs 8,200 at a profit of Rs 25 per metre of cloth. How much profit will the trader earn on 40 metres of cloth ?

Answer»

RS. 1,000



S.P. PER METRE = 8200/40

123.

If the difference between a number and its 2/5 is 240, find the number.

Answer»

400



Let the no. be X 
THEREFORE x - 2x/5 = 240,

124.

Find the number of factors of 300 excluding 1 and itself.

Answer»

16



NA

125.

Simplify the 121 * 175 + 363 * 275

Answer»

NONE of these



121 * 175 + 363 * 275 => 121 * 175 + 121 * 3 * 275

121 * 175 + 121 * 825

= 121 * (175 + 825) = 121000

126.

The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ?

Answer»

82.5



x + y = 165
x - y = 92
x = 174

127.

The average of five consecutive even numbers, p, q, r, s and t is 40. What is the product of 'r' and 's' ?

Answer»

1680



Let the numbers be x, x + 2, x + 4, x + 6, and x + 8
Avg = x + x + 2 + x + 4 + x + 6 + x + 8/5 = 40
Therefore, 5x + 20 = 200
Therefore, x = 180/5 = 36
Therefore, r = x + 4 = 40

128.

The difference between 8% of a number and 3% of the same number is 39. What is 2.8% of that number ?

Answer»

21.84



Let the NUMBER be x.
∴ x(8 - 3)% = 39
x = 3900/5 = 780
∴ 2.8% of 780
= 780 x 2.8/100
 = 21.84

129.

Two numbers have a H.C.F of 16 and a product of two numbers is 2560. Find the L.C.M of the two numbers?

Answer»

160



L.C.M of TWO NUMBERS is GIVEN by

(PRODUCT of the two numbers) / (H.C.F of the two numbers) = 2560/16 = 160.

130.

1089/? = ?/1296

Answer»

1188



(?)² = 1089 X 1296
(?)²= (11 x 11 x 9) x (12 x 12 x 9)
(?)= 11 x 12 x 9
= 1188

131.

A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17?

Answer»

9



221 + 43 = 264/17 = 9 (REMAINDER)

132.

A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13?

Answer»

7



39 + 20 = 59/13 = 7 (REMAINDER)

133.

(4300731) - ? = 2535618

Answer»

1765113



Let 4300731 - X = 2535618

Then, x = 4300731 - 2535618 = 1765113

134.

What is the missing number in this series? 8 2 14 6 11 ? 14 6 18 12

Answer»

9



9

135.

Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is:

Answer»

5



NA

136.

The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference of the two digits of the number ?

Answer»

4



(10X + y) - (10Y + X) = 36,
9(x - y) = 36/9 = 4

137.

(95.6x 910.3) ÷ 92.56256 = 9?

Answer»

13.34



13.34

138.

?2704 x ?2209=?

Answer»

2444



2444

139.

What should come in place of question mark (?) in the following number series ? 7, 176, 480, 1058, 2188, 4426, ?

Answer»

8884



Series is (No. + 9²) X 2, (+8²) x 2, (+7²) x 2, (+6²) x 2.......

140.

What is 846 times 323 ?

Answer»

273258



846 X 323 = 273258

141.

(12.04 x 7.5 + 0.8 x 45) ÷ 3 = ?

Answer»

42.1



(90.3 + 36) ÷ 3 = 126.3/3 = 42.1

142.

In how many different ways can the letters of the word "MOBILIZE" be arranged ?

Answer»

20160



The word MOBILIZE has eight LETTERS in which I comes twice 
∴ Number of ARRANGEMENTS = 8!/2! = 20160

143.

The difference between a two-digit number and the number obtained by interchanging the digit is 36. What is the difference between the sum and the difference of the digits of the number if the ratio b

Answer»

8



Since the number is greater than the number obtained on reversing the DIGITS, so the TEN's digit is greater than the UNIT's digit.

Let the ten's and unit's digits be 2X and x respectively.

Then, (10 * 2x + x) - (10x + 2x) = 36

9x = 36

x = 4

Required DIFFERENCE = (2x + x) - (2x - x) = 2x = 8.

144.

In how many ways can 5 boys be chosen from 6 boys and 4 girls so as to include exactly one girl ?

Answer»

60



One girl can be CHOSEN in 4C1 = 4 ways and 4 BOYS can be chosen in 6C4 = 15 ways 
∴ Total number of ways = 4 x 15 = 60 ways.

145.

If (47)² is added to the square of a number the answer thus obtained is 2290. What is the number ?

Answer»

9



Let the no. be X
 THEREFORE, x² + (47)² = 2290
Therefore, x² = 2290 - 2209 = 81
Therefore, x = 9

146.

Of the three numbers, second is twice the first and is also thrice the third. If the average of the three numbers is 44, the largest number is

Answer»

72



72

147.

The difference between 45% of a number and 18% of the same number is 145.8. What is 30% of that number ?

Answer»

162



Let the number be x.
45% of x - 18% of x = 145.8
∴ x/100 (45 - 18) = 145.8
∴ x = 145.8 x 100/27 = 540
30% of 540 = 540 x 30/100 = 162

148.

What is the remainder when 263251 is divided by 9?

Answer»

1



If the SUM of the DIGITS of a NUMBER is divisible by 9, the number will be divisible by 9.

2 + 6 + 3 + 2 + 5 + 1 = 19

The nearest multiple of 9 is 18.

19 - 18 = 1.

149.

Ratio between two numbers is 3: 4 and their sum is 420. Find the smaller number?

Answer»

180



3X + 4X = 420

x = 60 => 3x = 180

150.

Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is:

Answer»

36



(3X-9):(5x-9) = 9:17

 X = 12 => 3x = 36