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- Question
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Options- A. 23 years
- B. 24 years
- C. 25 years
- D. None of these
- Correct Answer
- 23 years
Explanation
Let the average age of the whole team by x years.∴ 11x - (26 + 29) = 9(x -1)
⟹ 11x - 9x = 46
⟹ 2x = 46
⟹ x = 23.
So, average age of the team is 23 years.
- 1. The number of ways in which a committee of 3 ladies and 4 gentlemen can be appointed from a group consisting of 8 ladies and 7 gentlemen, if Mrs. X refuses to serve in a committee if Mr. Y is its member, is
Options- A. 1960
- B. 3240
- C. 1540
- D. None of these Discuss
- 2. The present worth of a sum due some times hence is Rs. 576 and the banker's gain is Re. 1. The true discount is?
Options- A. Rs. 16
- B. Rs. 18
- C. Rs. 24
- D. Rs. 32 Discuss
- 3. How many necklaces of 12 beads can be made from 18 beads of various colours?
Options- A. [118 x 13!] / 2
- B. [110 x 14! ] / 2
- C. [119 x 13!] / 2
- D. [110 x 12!] / 2 Discuss
- 4. A man rows downstream 60 km and upstream 36 km, taking 4 hours each time. The speed of the man is :
Options- A. 15 km/h
- B. 16 km/h
- C. 8 km/h
- D. 12 km/h Discuss
- 5. A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
Options- A. 1/3
- B. 1/4
- C. 1/5
- D. 1/7 Discuss
- 6. A sailor sails a distance of 48 km along the flow of a river in 8 h. If it takes 12 h to return the same distance, then the speed of the flow of the river is?
Options- A. 0.5 km/h
- B. 1 km/h
- C. 1.5 km/h
- D. 2 km/h Discuss
- 7. Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
Options- A. 1:3
- B. 2:3
- C. 3:4
- D. 4:5 Discuss
- 8. Three bottles of equal capacity have mixture of milk and water in ratio 5 : 7, 7 : 9 and 2 : 1 respectively. These three bottles are emptied into a large bottle. What is the percentage of milk in the new mixture?
Options- A. 49.6
- B. 52.3
- C. 51.2
- D. 50.7 Discuss
- 9. 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 his property he has given?
Options- A. 1/20
- B. 19/20
- C. 1/10
- D. 9/10 Discuss
- 10. The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.
Options- A. 30Π m2
- B. 40Π m2
- C. 60Π m2
- D. 80Π m2 Discuss
More questions
Correct Answer: None of these
Explanation:
If Mrs. X is selected among the ladies in the committee, then Mr. Y is not selected or if Mrs. X is not selected then Mr. Y can be there in the committee...
So, required number of ways
= 8C3 x 6C4 + 7C3 x 7C4
= [(8 x 7 x 6)/(3 x 2)] x [(6 x 5)/(2 x 1)] + [(7 x 6 x 5)/(3 x 2)] x [(7 x 6 x 5)/(3 x 2)]
= 840 + 1225
= 2065
Correct Answer: Rs. 24
Explanation:
T.D. ?(P.W. x B.G. )
= ?(576 x 1) = Rs. 24
Correct Answer: [119 x 13!] / 2
Explanation:
First, we can select 12 beads out of 18 beads in 18C12 ways.
Now, these 12 beads can make a necklace in 11! / 2 ways as clockwise and anti-clockwise arrangements are same.
So, required number of ways = [ 18C12 .11! ] / 2!
= [18C6.11! ] / 2!
= [18 x 17 x 16 x 15 x 14 x 13 x 11! ] / [6 x 5 x 4 x 3 x 2 x 1 x 2!]
= [17 x 7 x 13! ] / 2!
= 119 x 13 !/ 2
Correct Answer: 12 km/h
Explanation:
Sd = 15 km/h
Su = 9 km/h
Speed of man= (Sd + Su)/2
? Speed of man = (15 + 9)/ 2 = 12 km/h
Correct Answer: 1/5
Explanation:
Suppose the vessel initially contains 8 litres of liquid.
Let x litres of this liquid be replaced with water.
Quantity of water in new mixture =
litres.
Quantity of syrup in new mixture = litres.
=> 5x + 24 = 40 - 5x
=> 10x = 16 => x = 8/5
So, part of the mixture replaced = = 1/5.
Correct Answer: 1 km/h
Explanation:
Let speed of the flow of water be x km/h and rate of sailing of sailor be y km/h.
Downstream speed (x + y) = 48/8
? x + y = 6 ....(i)
and upstream speed x - y = 4 ...(ii)
On solving Eqs. (i) and (ii), we get
y = 1 km/h
Correct Answer: 2:3
Explanation:
By the rule of alligation:
Cost of 1 kg rice of 1st kind Cost of 1 kg rice of 2nd kind
Required ratio = 60 : 90 = 2 : 3
Correct Answer: 50.7
Explanation:
Let initial quantity be Q, and final quantity be F
F = Q(1 - 8/Q)
=> Q = 20
Correct Answer: 19/20
Explanation:
Total share given by the person = (1/4) + (1/2) + (1/5)
= (5 + 10 + 4) / 20
=19/20
Correct Answer: 60Π m2
Explanation:
l = 10 m,
h = 8 m.
So, r = √l2 - h2 = √(10)2 - 82 = 6 m.
∴ Curved surface area = Πrl = (Π x 6 x 10) m2 = 60Π m2.
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