18 men or 36 boys working 6 hours a day can plough a field in 24 days. In how ma

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Question
18 men or 36 boys working 6 hours a day can plough a field in 24 days. In how many days will 24 men and 24 boys working 9 hours a day plough the same field ?
Options
A. 9
B. 10
C. 6
D. 8

Correct Answer

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1. The sum of three numbers is 252. If the first number is thrice the second and third number is two-third of the first, then the second number is
Options
A. 41
B. 21
C. 42
D. 84

Discuss

Correct Answer: 42

2. The sum of squares of three positive integers is 323. If the sum of squares of two numbers is twice the third, their product is
Options
A. 255
B. 260
C. 265
D. 270

Discuss

Correct Answer: 255

3. If the sum of squares of two real numbers is 41 and their sum is 9. Then the sum of cubes of these two numbers is
Options
A. 169
B. 209
C. 189
D. 198

Discuss

Correct Answer: 189

4. If x+y+z = 1, 1/x + 1/y + 1/z = 1 and xyz = -1, then x3+y3+z3 is equal to
Options
A. -1
B. 1
C. -2
D. 2

Discuss

Correct Answer: 1

5. Twenty one times of a positive number is less than its square by 100. The value of the positive number is
Options
A. 25
B. 26
C. 42
D. 41

Discuss

Correct Answer: 25

6. In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Options
A. 209
B. 290
C. 200
D. 208

Discuss

Correct Answer: 209

Explanation:

We may have (1 boy and 3 girls) or (2 boys and 2 girls) or (3 boys and 1 girl) or (4 boys).

Required number of ways = $(6 C_{1} * 4 C_{3}) + (6 C_{2} * 4 C_{2}) + (6 C_{3} * 4 C_{1}) + 6 C_{4}$

= $(6 C_{1} * 4 C_{1}) + (6 C_{2} * 4 C_{2}) + (6 C_{3} * 4 C_{1}) + 6 C_{2}$ = 209.

7. The product of two numbers is 48. If one number equals "The number of wings of a bird plus 2 times the number of fingers on your hand divided by the number of wheels of a Tricycle". Then the other number is
Options
A. 9
B. 10
C. 12
D. 18

Discuss

Correct Answer: 12

8. Two numbers whose sum is 84 can not be in the ratio
Options
A. 5:7
B. 13:8
C. 1:3
D. 3:2

Discuss

Correct Answer: 3:2

9. If (x+1/x) = 5, then the value of 5xx2+5x+1 ?
Options
A. 1/3
B. 1/4
C. 1/2
D. 1/5

Discuss

Correct Answer: 1/2

10. How many natural numbers are there between 1000 to 2000, which when divided by 341 leaves remainder 5?
Options
A. 3
B. 2
C. 4
D. 1

Discuss

Correct Answer: 3

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18 men or 36 boys working 6 hours a day can plough a field in 24 days. In how many days will 24 men and 24 boys working 9 hours a day plough the same field ?

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