1). A man has given one-fourth part of his property to his daughter, half part to his sons and one-fifth part given as charity. How much part of his property he has given?
A). \( \Large \frac{1}{20} \) |
B). \( \Large \frac{19}{20} \) |
C). \( \Large \frac{1}{10} \) |
D). \( \Large \frac{9}{10} \) |
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2). A chocolate has 12 equal pieces. Manju gave \( \Large \frac{1}{4} \)th of it to Anju, \( \Large \frac{1}{3} \)rd of it to Sujata and \( \Large \frac{1}{6} \)th of it to Fiza. The number of pieces of chocolate left with Manju is
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3). A number consists of two digits whose sum is 10. If the digits of the number are reversed, then the number decreased by 36. Which of the following is/are correct?
I. The number is divisible by a composite number.
II. The number is a multiple of a prime number.
A). Only I |
B). Only II |
C). Both 1 and H |
D). Neither I nor II |
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4). The sum of five consecutive odd number is equal to 175. What is the sum of the second largest number and the square of the smallest number amongst them together?
A). 989 |
B). 997 |
C). 979 |
D). 998 |
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5). 0ut of three given numbers, the first number is twice the second and thrice the third. If the average of these three numbers is 154, then what is the difference between the first and the third numbers?
A). 126 |
B). 42 |
C). 168 |
D). 52 |
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6). X, Y and Z had taken a dinner together. The cost of the meal of Z was 20% more than that of Y and the cost of the meal of X was \( \Large \frac{5}{6} \) as much as the cost of the meal of Z. If Y paid Rs.100, then what was the total amount that all the three of them had paid?
A). Rs.285 |
B). Rs.300 |
C). Rs.355 |
D). 320 |
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7). Find the maximum number of trees which can be planted 20 m apart on the two sides of a straight road 1760 m long.
A). 174 |
B). 176 |
C). 180 |
D). 178 |
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8). The difference between two numbers is 18. If four times the second number is less than three times the first number by 18, then what is the sum of these two numbers?
A). 100 |
B). 80 |
C). 86 |
D). 90 |
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9). The difference between a two-digit number and the number obtained by interchanging the two digits of the number is 18. The sum of the two digits of the number is 12. What is the product of the digits of two-digit number?
A). 32 |
B). 27 |
C). 35 |
D). Couldn't be determined |
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10). On Children's Day, sweets were to be equally distributed amongst 300 children. But on that particular day 50 children remained absent; hence each child got one extra sweet. How many sweets were distributed?
A). 1450 |
B). 1700 |
C). 1650 |
D). 1500 |
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A) 3

B) 13

C) 23

D) 33

Correct Answer:

Description for Correct answerLet the number be x.

According to the question,

\( \Large 5x = 2x^{2} - 3 \)

=> \( \Large 2x^{2} - 5x - 3 = 0 \)

=> \( \Large \left(x-3\right) \left(2x+1\right) = 0 \)

\( \Large x = 3, -\frac{1}{2} \)

Thus, the required number is 3.