## Ratios and Proportions

In a test match in cricket, the scores of Rohit and Virat in the first innings are in the ratio of 13 : 16. In the second innings as compared to the first innings, their scores increase by the same number of runs and their scores are in the ratio of 53 : 62 in the second innings. What is the ratio of Virat’s second innings score and his first innings score?

A. 5: 4
B. 31: 24
C. 30: 23
D. 31 : 25

See our previous ‘Questions of the Day’:
Quant Question Of The Day: 274
Quant Question Of The Day: 273

Each of the four managers – Dev Sharma, Prakhar Tekade, Rohan Guha and Rohini Raheja – worked for an integral number of years in each of the three companies – RIL, TCS and ITC. The sums of the number of years spent in the three companies together were distinct for the four managers. The sums of the number of years spent by the four managers together in the RIL, TCS and ITC were 12, 13 and 14 respectively. No manager spent an equal number of years in any two companies. No two managers spent an equal number of years in any company.(Note: Each manager worked for atleast one year in each company). It is also known that:

(i) Among the three companies, Rohini Raheja spent the least time in TCS and the maximum in ITC.

(ii) The number of years spent by Dev Sharma and Rohan Guha in ITC were 4 and 2 respectively.

(iii) The sum of the number of years spent in the three companies together by Rohan Guha was not less than that of Dev Sharma.

(iv) The sum of the number of years spent in the three companies together by Prakhar Tekade was 16.(v) The absolute difference between the number of years spent by Dev Sharma in RIL and the number of years spent by Rohan Guha in TCS was 2.

1. What was the absolute difference between the number of years spent by Rohan Guha in RIL and Rohini Raheja in ITC?

2. Among the four managers, who spent the least time in ITC?

3. What was the number of year(s) spent by Rohini Raheja in TCS?

4. Find the sum of the number of years spent in the three companies together by Rohan Guha.

## Time Speed and Distance

Two cars P and Q start from two points A and B towards each other simultaneously. They meet for the first time 40 km from B. After meeting they exchange their speeds as well as directions and proceed to their respective starting points. On reaching their starting points, they turn back with the same speeds and meet at a point 20 km from A. Find the distance
between A and B.

A. 110 km
B. 120 km
C. 130km
D. 100 km.

See our previous ‘Questions of the Day’:
Quant Question Of The Day: 273
Quant Question Of The Day: 272

Competition Commission of India has approved acquisition of Future Group by which company?

B. Reliance Retail
C. Avenue Supermarkets
D. Tata Group

Which country has pledged to ban sale of new petrol and diesel cars by 2030?
A.Germany
B.France
C.UK
D.USA

## Time and Work

P and Q can complete a j ob i n 30 days and 20 days respectively. If P started the work first and 15 days later, Q joined, in how many days will they complete the remaining work?
A. 6 days
B. 12 days
C. 18 days
D. 21 days

See our previous ‘Questions of the Day’:
Quant Question Of The Day: 272
Quant Question Of The Day: 271

## Logarithm

Find the greatest integer b for which logb(192!) – logb(191!)- logb(24) is an integer.

See our previous ‘Questions of the Day’:
Quant Question Of The Day: 271
Quant Question Of The Day: 270

## Counting

A television channel has eight programs − A through H − which are available for three prime-time slots on a Sunday evening. In how many different ways can the programmes be shown, if program A can come only after program B?

See our previous ‘Questions of the Day’:
Quant Question Of The Day: 270
Quant Question Of The Day: 269

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