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Q:

P and Q can complete a job in 24 days working together. P alone can complete it in 32 days. Both of them worked together for 8 days and then P left. The number of days Q will take to complete the remaining work is ?

A) 56 days B) 54 days
C) 60 days D) 64 days
 
Answer & Explanation Answer: D) 64 days

Explanation:

(P+Q)'s 1 day work = 1/24

P's 1 day work = 1/32

=> Q's 1 day work = 1/24 - 1/32 = 1/96

Work done by (P+Q) in 8 days = 8/24 = 1/3

Remainining work = 1 - 1/3 = 2/3

Time taken by Q to complete the remaining work = 2/3 x 96 = 64 days.

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Filed Under: Time and Work
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Q:

The area of a square is equal to the area of a rectangle. The length of the rectangle is 5 cm more than a side of the square and its breadth is 3 cm less than the side of the square. What is the perimeter of the rectangle ? 

A) 15 cm B) 18 cm
C) 34 cm D) 26 cm
 
Answer & Explanation Answer: C) 34 cm

Explanation:

Let the side of the square be 's' cm

 

length of rectangle = (s+5) cm

 

breadth of rectangle = (s-3)cm

 

(s+5) (s-3) = 

 

s2 - 5s - 3s - 15 = s2 

 

2s = 15

 

Perimeter of rectangle = 2(L+B) = 2(s+5 + s–3) = 2(2s + 2)

 

= 2(15 + 2) = 34 cm 

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Filed Under: Area
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Q:

A can complete 9/10 part of a work in 31 days. After that, with the help of B he can complete the remaining work in 4 days. In how many days will  A and B together can complete that work ?

A) 36 B) 40
C) 42 D) 38
 
Answer & Explanation Answer: B) 40

Explanation:

Remaining work = 1 - 9/10 = 1/10

 

=> A & B together completes 1/10 of work in 4 days

 

=> 1 work can completed in ------ ? days

 

Let it be x days

 

=>  4110=x1

 

=> x = 40 days.

 

Hence, A & B together can complete the work in 40 days.

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Filed Under: Time and Work
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Q:

A five-member committee has been formed to select the candidate for the post of editor-in-chief of Rajya Sabha TV (RSTV). Who will head this committee ?

A) Shashi Shekhar Vempati B) Rahul Srivastava
C) Swapan Dasgupta D) A Surya Prakash
 
Answer & Explanation Answer: D) A Surya Prakash

Explanation:
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Filed Under: General Awareness
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Q:

Four person A, B, C and D. The sum of their present age is 176. Four years ago ratio of their age was 11: 9 : 6 : 14, then find who is eldest and youngest among them ?

A) A is eldest & C is youngest B) D is eldest & C is youngest
C) C is eldest & A is youngest D) A is eldest & B is youngest
 
Answer & Explanation Answer: B) D is eldest & C is youngest

Explanation:

Given sum of present ages of A, B, C & D

A + B + C + D = 176

and also given that,

(A-4) : (B-4) : (C-4) : (D-4) = 11 : 9 : 6 : 14

Let the ratio = x

=> A-4 + B-4 + C-4 + D-4 = 11x + 9x + 6x + 14x

=> (A + B + C + D ) - 16 = 40x

=> 176 - 16 = 40x

=> x = 4

=> A = 44 + 4 = 48

=> B = 40

=> C = 28

=> D = 60

Therefore, from the above conclusions

D is eldest with 60 years and C is youngest with 28 years of ages.

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Filed Under: Problems on Ages
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Q:

Read the following puzzle carefully, answer the question asked below ?

Seven person K, L, M, N, O, P & Q likes seven colours. Yellow, White, Red, Orange, Blue, Gray and Black. They visit in different days starting from Monday to Sunday.

1) K visits one day after Thursday.

2) Only 4 people are in between K and L

3) The one who likes Red colour visits immediately after L.

4) Only one person visit between Red and Blue

5) The one who like white colour visit before one of days on which day M visits

6) The one who like white colour does not visit on Monday.

7) Only 1 person is in between N and O. N like Yellow.

8) There are same as many person in between K and Blue colour which are one less in between L and M.

9) Neither Q nor P likes Black.

10) Q does not visit on Saturday and does not like grey colour.

Question :

Who visits on Sunday and Tuesday and their favourite colors ?

A) P & M B) N & K
C) K & L D) P & Q
 
Answer & Explanation Answer: C) K & L

Explanation:

Monday          - N  - Yellow

Tuesday         - L  - White

Wednesday    - O  - Red

Thursday       - Q  - Orange

Friday           - M  - Blue

Saturday       - P  - Grey

Sunday         - K  - Black

From the above table,

K & L visits Sunday & Tuesday and their favourite colors are Black and white respectively.

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Q:

Sum of the ages of Rajesh, Suresh, Mahesh and Dinesh is 76 years. 7 years hence, their age ratio is 7:6:5:8. Find Mahesh’s present age ?

A) 17 years B) 13 years
C) 14 years D) 16 years
 
Answer & Explanation Answer: B) 13 years

Explanation:

Given R + S + M + D = 76

=> R+7 : S+7 : M+7 : D+7 = 7:6:5:8

=> Let the ratio = x

=> M+7 = 5x

=> M = 5x-7

=> R = 7x-7

=> S = 6x-7

=> D = 8x-7

=> R + S + M + D = 76

=> 7x-7 + 6x-7 + 5x-7 + 8x-7 = 76

=> 26x - 28 = 76

=> 26x = 104

=> x = 4

=> Mahesh's present age = 5x-7 = 20 - 7 = 13 years.

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Q:

P alone can do a piece of work in 24 days. The time taken by P to complete one-third of work is equal to time taken by Q to complete half of the work. How many days are required to complete by P and Q working together ?

A) 9 3/5 days B) 7 days
C) 6 3/7 days D) 8 days
 
Answer & Explanation Answer: A) 9 3/5 days

Explanation:

Let the total work be 'W'

As per the given information,

P can complete the work 'W' in 24 days.

=> one day work of P = W/24

And also given that,

The time taken by P to complete one-third of work is equal to time taken by Q to complete half of the work

=> PW/3 = QW/2

=> P's

1 day =    W/24

   ?    =      W/3

=>  ?  = 24W/3W  = 8

=> QW/2 = 8 days

=> Q alone can complete the work W in 16 days

=> P + Q can complete the work in

1/24 + 1/16 = 5/48

=> 48/5 days = 9 3/5 days.

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Filed Under: Time and Work
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