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151.

7589 - ? = 3434

Answer»

4155



Let 7589 - X = 3434

Then x = 7589 - 3434 = 4155

152.

If the L.C.M of two numbers is 750 and their product is 18750, find the H.C.F of the numbers.

Answer»

25



H.C.F = (PRODUCT of the NUMBERS) / (Their L.C.M) = 18750/750 = 25.

153.

What is the sum of all even numbers from 1 to 701?

Answer»

122850



700/2 = 350

350 * 351 = 122850

154.

The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root?

Answer»

8



Let the NUMBER be x. Then,

x + 1/x = 34/8 

8x2 - 34X + 8 = 0 

4x2 - 17X + 4 = 0 

(4x - 1)(x - 4) = 0 

x = 4

required number = 4 * √4 = 4 * 2 = 8.

155.

The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?

Answer»

Cannot be determined



Let the ten's DIGIT be X and unit's digit by y

Then, x + y = 15 and x - y = 3 or y - x = 3

Solving x + y = 15 and x - y = 3, we get: x = 9, y = 6

Solving x + y = 15 and y - x = 3, we get: x = 6, y = 9

So, the number is either 96 or 69.

Hence, the number cannot be determined.

156.

A certain number successively divided by 2, 5 and 7 leaves remainders 1, 2 and 3 respectively. When the same number is divided by 70, what is the remainder?

Answer»

35



NA

157.

732.96 + 405.38 - 604.08 - 105.44 + 222.86 = ?

Answer»

651.68



? = 1361.20 - 709.52 = 651.68

158.

4500 * ? = 3375

Answer»

3/4



4500 * X = 3375

= x = 3375/4500 = 3/4

159.

What is the sum of 1 + 2 + 3+ ... + 27 ?

Answer»

378



Sum = 27 X (27 + 1)/2
= 27 x 28/2
= 27 x 14
= 378

160.

What is the average of the following set of numbers ? 173, 192, 198, 204, 211, 223, 227

Answer»

204



Avg= 173 + 192 + 198 + 204 + 211 + 223 + 227/7

161.

On converting the following base-2 numeral in base ten, 1101101, we get

Answer»

108



109

162.

Look at this series: 201, 202, 204, 207, ... What number should come next?

Answer»

211



 In this ADDITION series, 1 is added to the FIRST number; 2 is added to the second number; 3 is added to the third number; 4 is added to the fourth number; and GO on.

163.

A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15?

Answer»

1



45 + 31 = 76/15 = 1 (REMAINDER)

164.

728.038 x 54.978 - 72.016 x 85.250 = ?

Answer»

33900



? = 728 X 55 - 72 x 85.25 
= 40040 - 6138 = 339900

165.

96% of a number is 19584 What is 56% of that number ?

Answer»

11424



Let the NUMBER be X.
96% of x = 19584
= 96x/100 = 19584
∴ x = 19584 x 100/96 = 20400
= 56% of 20400
= 56/100 x 20400
= 11424

166.

1256+4813+765=?

Answer»

6834



1256+4813+765
= 6069+765
=6834

167.

If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is:

Answer»

160



Let the numbers be x and y. 

Then, x + y = 20 and x - y = 8

x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.

168.

The sum of three consecutive numbers is 87. The greatest among these three number is:

Answer»

30



Let the NUMBERS be X, x + 1 and x + 2 

Then,

x + (x + 1) + (x + 2) = 87

3x = 84

x = 28

Greatest NUMBER, (x + 2) = 30.

169.

If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is:

Answer»

40



Let the NUMBERS be X and y. 

Then, (x + y) = 22 and X2 + y2 = 404 

Now, 

2XY = (x + y)2 - (x2 + y2) 

2xy= 222 - 404 = 484 - 404 = 80

xy = 40

170.

How many times the keys of a typewriter have to be pressed in order to write first 400 counting numbers?

Answer»

1092



NA

171.

Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next?

Answer»

25



In this simple alternating subtraction and addition SERIES; 1 is SUBTRACTED, then 2 is added, and so on.

172.

If 4 2/3 is subtracted form 10 1/2 and the difference is multiplied by 450, then what is the final answer?

Answer»

NONE of these



NA

173.

The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:

Answer»

4/5



1/x - x = 9/20 

20X2 + 9X - 20 = 0 

20x2 + 25X - 16x - 20 = 0 

5x(4x + 5) -4(4x + 5) = 0

(4x + 5)(5x - 4) = 0

x = 4/5

174.

One-eighth of a number is 76. What will be 54% of the number ?

Answer»

328.32



Let the no. be X 
THEREFORE, 1/8 of x = 76
Therefore, x = 60854% of 608

175.

The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, then what will be the original number?

Answer»

39



39

176.

If 35% of a number is 899.5, what is 68% of that number ?

Answer»

1747.6



Suppose the NUMBER is X.
Then 35% of x = 899.5
68% of x = 68/35 x 899.5 = 1747.6

177.

In each of the following numbers, what should be the missing digit in the indicated place such that the number is a multiple of 11?

Answer»

8



Divisibility of 11: If the difference of the sum of the DIGITS at ODD places and the sum of the digits at EVEN places of a number is zero or a multiple of 11, then that number is divisible by 11.

As per divisibility rule of 11, difference = (x + 21) - 18 = x + 3

=> x + 3 = 11 => x = 8

178.

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

Answer»

3360



Number of WAYS = 8!/3! 2! = 40320/12 = 3360

179.

If a + b = 16 and ab = 68, what is the value of a² + b² ?

Answer»

120



a + B = 16 
THEREFORE, (a+b)² = (16)² = 256

180.

A basket contains 5 blue, 4 green and 3 red ball. If three balls are picked at random, what is the probability that at least one is red ?

Answer»

34/55



Probability of having no RED BALL is
9C3 / 12C3 = 21/55
Probability of having at LEAST ONE red ball is 1 - 21/55 = 34/55

181.

Which one of the following is the sum of the numbers 1, 3, 5, 7, 9…. up to nth number?

Answer»

N2



NA

182.

Look at this series: 36, 34, 30, 28, 24, ... What number should come next?

Answer»

22



This is an alternating NUMBER subtraction SERIES. FIRST, 2 is SUBTRACTED, then 4, then 2, and so on.

183.

Look at this series: XXIV, XX, __, XII, VIII, ... What number should fill the blank?

Answer»

XVI



This is a SIMPLE subtraction SERIES; each NUMBER is 4 less than the previous number.

184.

What is the difference between the largest number and the least number written with the digits 7, 3, 1, 4?

Answer»

6084



NA

185.

√9216 + √15376 = ?

Answer»

220



? = √9216 + √15376
= 96 + 124
= 220

186.

(1024—263—233)÷(986—764— 156) =?

Answer»

8



8

187.

A, B, C, D and E are consecutive even numbers respectively. The average of 5 numbers is 82. What is the product of C and E ?

Answer»

6383



x + x + 1 + x + 2 + x + 3 + x + 4= 5 x 82
= 5x + 10 = 410 = 5x = 400
= x = 400/5 = 80
∴ A = 80
C = 82
and E = 84
= C x E = 82 x 84 = 6383

188.

What is the sum of all the numbers between 300 and 1000 which are divisible by 179?

Answer»

2506



358/179 ….. 895/179

179(2 + 3 + 4 + 5) => 2506

189.

In how many different ways can 7 boys and 3 girls sit in a row such that all the three girls do not sit together ?

Answer»

3386880



A total of (7 + 3) PERSONS = 10 personal can sit in 10! ways.
If we consider three girls as one unit, total persons = 7 + = 8 (here all three girls sit together).
No. of ways = 81 and the three girls can be ARRANGED in 31 ways among themselves.
So, the total number of ways when three girls sit together = 81 X 31
When the girls don't sit together, number of ways = 101 - (81 x 31) = 81 (10 x 9 - 6) = 81 x 84 = 3386880

190.

If the three fourth of a number is subtracted from the number; the value so, obtained is 163. What is that number ?

Answer»

652



Number X (1 - 3/4) = 163
∴ Number = 163 x 4 = 652

191.

Of an amount, 20% of 25% of 30% is Rs 75. Then what is the original amount ?

Answer»

RS. 5000



Let the AMOUNT be x.
∴ X x 20/100 x 25/100 x 30/100 = 75
∴ X = 75 x 5 x 4 x 10/3= 5000

192.

How many numbers up to 200 are divisible by 2 and 3 both?

Answer»

33



200/6 = 33 2/6 => 33 NUMBERS

193.

Look at this series: 1.5, 2.3, 3.1, 3.9, ... What number should come next?

Answer»

4.7



In this SIMPLE ADDITION SERIES, each NUMBER INCREASES by 0.8.

194.

Look at this series: 14, 28, 20, 40, 32, 64, ... What number should come next?

Answer»

56



This is an ALTERNATING multiplication and subtracting series: FIRST, MULTIPLY by 2 and then subtract 8.

195.

Look at this series: 8, 22, 8, 28, 8, ... What number should come next?

Answer»

34



This is a SIMPLE addition series with a random number, 8, interpolated as EVERY other number. In the series, 6 is added to each number except 8, to arrive at the NEXT number.

196.

Look at this series: 2, 4, 6, 8, 10, ... What number should come next?

Answer»

12



This is a SIMPLE ADDITION series. Each number INCREASES by 2.

197.

Look at this series: 31, 29, 24, 22, 17, ... What number should come next?

Answer»

15



This is a SIMPLE alternating subtraction series, which SUBTRACTS 2, then 5.

198.

How many figures are required to number the pages the pages of a book containing 365 pages?

Answer»

987



NA

199.

Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:

Answer»

15



Let the THREE integers be x, x + 2 and x+ 4.

Then,

3X = 2(x + 4) + 3

x = 11

Third integer = x + 4 = 15.

200.

What is the least number that should be added to 5200 to make it a perfect square ?

Answer»

129



We sec (73)² = 5329 and (72)² = 5184
ie 5329 > 5200 > 5184
So 129 should be ADDED to MAKE is PERFECT square.