Problem Solving section 4 MCQ Practice Questions Answers Test with Solutions & More Shortcuts

Question : 11

My son adores chocolates. He likes biscuits. But he hates apples. I told him that he can buy as many chocolates he wishes. But then he must have biscuits twice the number of chocolates and apples more than biscuits and chocolates together. Each chocolate costs Re. 1. The cost of apple is twice of chocolate and four biscuits are worth of one apple. Then which of the following can be the amount that I spent on that evening on my son?

a) Rs 33

b) Rs 8

c) Rs 34

d) None of these

Answer: (c)

If number of chocolates is NC then those of biscuits

$N_B = 2N_C$

and number of apples i.e $N_A > 3N_C$

also, total amount spent

= $2N_A + N_C + 1/4 (2N_B) = 2N_A + 2N_C$

(note that amount of money spent is even number)

option (b) 33 = 8 + 24 + 1

but 2$N_A$ ≠ 25

option (c) is not possible

So, option (a) 34 = 8+ 24 + 2

$↙{even}2N_A, [N_A > 3N_C also]↙{satisfied}$

So, option (c) is correct

Directions:

Study the following information and answer questions that follow :

Bankatlal works x hours a day and rests y hours a day. This pattern continues for 1 week, with an exactly opposite pattern next week, and so on for four weeks. Every fifth week he has a different pattern. When he works longer than he rests, his wage per hour is twice what he earns per hour when he rests longer than he works. The following are his daily working hours for the weeks numbered 1 to 13

 1st week5th week9th week13th week
Rest234-
Work5768

A week consist of six days and a month consists of 4 weeks

Question : 12

Referring to the data given in previous question, Bankatlal's average monthly salary at the end of the first four months will be

a) 2040

b) 1830

c) 1760

d) 1680

Answer: (b)

Salary for 5th and 7th week = 2 × 7 × 20 × 6 = Rs 1680

Salary for 6th and 8th week = 2 × 3 × 10 × 6 = Rs 360

Salary for 2nd month = 1680 + 360 = Rs 2040

Similarly salary for 3rd month

= 2(6 × 20 × 6) + 2 ( 4 × 10 × 6)

= 1440 + 480 = Rs 1920

Salary for 4th month = 2(8 × 20 × 6) + 2 (0) = Rs 1920

Salary at the end of 4 months

= 1440 + 2040 + 1920 + 1920

= Rs 7320

∴ Average monthly salary = ${7320}/4$ = Rs 1830

Question : 13

The new manager Khushaldas stipulated that Rs 5 be deducted for every hour of rest and Rs 25 be paid per hour starting 9th week, then what will be the change in Bankatlal's salary for the 3rd month? (Hourly deductions and salaries are constant for all weeks starting 9th week)

a) 480

b) 240

c) 540

d) 0

Answer: (a)

Under new scheme salary for 9th and 11th week

= 2 (25 × 6 – 5 × 4 ) × 6 = Rs 1560

Now salary for 10th and 12th week = 2( 25 × 4 – 5 × 6 ) × 6

= Rs 840

Total salary for 3rd month = 1560 + 840 = Rs 2400

Under previous scheme total salary for 3rd month

= Rs 1920

Difference = 2400 – 1920 = Rs 480

Question : 14

If Bankatlal is paid Rs. 20 per working hour in the 1st week, what is his salary for the 1st month?

a) 2040

b) 1320

c) 1440

d) 1680

Answer: (c)

Salary in the first week = Rs 20 per working hour

As the working pattern changes next week, so wage/hr for the 2nd and fourth week = ${20}/2$ = 10

Work and Rest hrs/day for the 2nd and 4th weeks respectively are 2 and 5 hrs.

A week consist of 6 days and a month of 4 week

Salary from 1st and 3rd week = 20 × 5 × 2 × 6 = Rs 1200

Salary for 2nd and 4th week = 2 × 10 × 6 × 2 = Rs 240

Salary for 1st month = 1200 + 240 = Rs 1440

Question : 15

Using the data in the previous questions, what will be the total earning of Bankatlal at the end of sixteen weeks

a) 7800

b) 8400

c) 7320

d) 7680

Answer: (a)

According to conditions salary for first 3 months

= 1440 + 2040 + 2400 = Rs 5880

Salary for 4th month (13th to 16th week)

= 2(25 × 8 × 6) + 2(0 - 8 × 5 × 6) = 2400 – 480 = Rs 1920

Total salary for 16 weeks = 5880 + 1920 = Rs 7800

IMPORTANT verbal reasoning EXERCISES

Problem Solving section 4 MCQ Online Quiz

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