21st June 2022 | Time and Work, Speed -Time – Distance, Simple Interest, Analytical and Critical reasoning.

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Syllabus: Time and Work, Speed -Time – Distance, Simple Interest, Analytical and Critical reasoning.

Decision Making and Problem Solving: A duly structured situation will be presented to the candidates and they will be asked to analyze and suggest their own solution to the problem arising out of situations

Prelims: 15

Prelims Questions of the day-

1.A can do a bit of work in 10 days while B alone can do it in 15 days. They cooperate for 5 days and whatever remains of the work is finished by C in 2 days. On the off chance that they get Rs. 4500 for the entire work, by what means if they partition the cash?

  1. A – Rs 1250, Rs 1200, Rs 550
  2. B – Rs 2250, Rs 1500, Rs 750
  3. C – Rs 1050, Rs 1000, Rs 500
  4. D – Rs 650, Rs 700, Rs 500

Answer: B

Explanation

(A+B)’s 5 days’ work = 5(1/10+ 1/15) = (5* 1/6) = 5/6

Remaining work = (1-5/6) = 1/6

C’s 2 days’ work = 1/6

(A’s 5-day work): (B’s 5day work): (C’s 2 days’ work)

= 5/10: 5/15: 1/6

= 15: 10:5 = 3:2:1

A’s offer = (4500*3/6) = Rs. 2250

B’s offer = (4500*2/6) = Rs. 1500

C’s share= (4500*1/6) = Rs. 750

2.Statement In the last year, Lucknow University has launched a number of management courses for the better future of its students.
Assumptions I: These courses may attract students.
Assumption II: Lucknow University is conscious about the future of students.

  1. If only assumption, I is implicit
  2. If only assumption II is implicit
  3. If both I and II are implicit.
  4. If neither I nor II is implicit.

Answer: C

Explanation:

  • Assumption I is an assumption since the University has launched the courses with this intention.
  • Assumption II is also valid since the launching of these courses shows that the Lucknow University is conscious about the future of its students.

3.A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. What is the speed of the car? 100 kmph110 kmph120 kmph130 kmph
Answer: C Explanation: Let speed of the car be x kmph. Then, speed of the train = 150 x = https://www.indiabix.com/_files/images/aptitude/1-sym-oparen-h1.gif 3 x https://www.indiabix.com/_files/images/aptitude/1-sym-cparen-h1.gifkmph. 100 2   https://www.indiabix.com/_files/images/aptitude/1-sym-tfr.gif 75 – 75 = 125 x (3/2)x 10 x 60   https://www.indiabix.com/_files/images/aptitude/1-sym-imp.gif 75 – 50 = 5 x x 24   =120KMPH

4.Statement Since the exam is held on the third Sunday of November it is going to be held on 18th November this year.
Assumptions I:This year it will not be held on 15th, 19th, 20th or 21st of November.
Assumption II:This year it will not be held on 16th or 17th November.

  1. If only assumption I is implicit.
  2. If only assumption II is implicit
  3. If both I and II are implicit.
  4. If neither I nor II is implicit.

Answer: C

Explanation:

Both Assumptions are implied.

5.A can fabricate a divider in 30 days, while B alone can assemble it in 40 days, If they construct it together and get an installment of RS. 7000, what B’s offer?

  1. 2000
  2. 3000
  3. 4000
  4. 6500

Answer: B

Explanation

A’s 1 days’ work = 1/30,

B’s 1-day work = 1/40,

Proportion of their shares = 1/30:1/40 = 4:3

B’s offer = (7000*3/7) = Rs. 3000

6.The simple interest on a certain sum of money for 2(1/2) years at 12% per annum is Rs. 40 less than the simple interest on the same sum for 3(1/2) years at 10% per annum. Find the sum?

  1. Rs. 600                    
  2. Rs. 666                 
  3. Rs. 780                 
  4. Rs. 800

Answer: D

Explanation:

Then we can write: [{x*10*7}/{100*2}] – [{x*12*5}/{100*2}] = 40.

This can be written as: 7x/20 – 3x/10 = 40.

Therefore, we have x = Rs. 800

Hence the sum is Rs. 800.

7.Statement Most rural folks are uneducated and therefore superstitious.
Assumptions I:Education increases rational thinking.
Assumption II: Rural folks don’t go to school.

  1. If only assumption I is implicit.
  2. If only assumption II is implicit.
  3. If both I and II are implicit.
  4. If neither I nor II is implicit.

Answer: A.

Explanation:

Assumption I supports the basic conclusion that is drawn in the statement and is hence implied but Assumption II is something that we cannot make a judgement about since it is possible to be uneducated even if you have gone to school.

8.A can do a bit of work in 25 days which B can complete in 20 days. Both together labor for 5 days and afterward A leaves off. How long will B take to complete the remaining work?

  1. 7 days
  2. 8 days
  3. 9 days
  4. 11 days

Answer: D

Explanation

(A+B)’s 5 days’ work = 5(1/25+1/20) = (5*9/100) = 9/20

Remaining work = (1-9/20) = 11/20

1/20 work is finished by B in 1 day

11/20 work is finished by B in (1*20*11/20) = 11 days


9.A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour? 3.67.28.410 Answer: B Explanation: Speed = (600)/(5*60) m/sec= 2 m/sec= 7.2km/hr
10.Statement Narayan the CEO of the company says to his employee, “Achieve the targets we have set for you or I will fire you.”
Assumptions I:With Narayan’s statement, the employee will work hard to achieve his targets.
Assumption II:All bosses are in the habit of intimidating their employees. If only assumption, I is implicit.If only assumption II is implicit.If both I and II are implicit.If neither I nor II is implicit. Answer: A Explanation: Assumption I is implied as the boss would want (and assumes) this reaction from the employee. The second assumption is invalid.
 

11. A certain amount becomes Rs. 5760 in 2 years and Rs. 6912 in 3 years. What is the principal amount and the rate of interest?

  1. 5000
  2. 1152
  3. 5760
  4. 4000

Answer: D

Explanation:

Therefore, Rate of interest for 1 year = 100*1152/5760*1 = 20%

Let the principal be p.

Then, Principal = p[1+ 20/100]2 = 5760

Solving which gives Principal = Rs. 4000

12.If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. What is the actual distance travelled by him?

  1. 50 km
  2. 56 km
  3. 70 km
  4. 80 km

Answer: A

Explanation:

Let the actual distance travelled be x km.

Then,x=x + 20
1014

https://www.indiabix.com/_files/images/aptitude/1-sym-imp.gif 14x = 10x + 200

https://www.indiabix.com/_files/images/aptitude/1-sym-imp.gif 4x = 200

  • x = 50 km.

13.Statement A says to B “Refer to the Cambridge dictionary instead of the Oxford dictionary to be good at English.”
Assumptions I. B wants to be good at English.
Assumptions II. A is a good advisor.

  1. If only assumption, I is implicit.
  2. If only assumption II is implicit.
  3. If both I and II are implicit.
  4. If neither I nor II is implicit.

Answer: A.

Explanation:

This advice will only be given if Assumption I is true. We cannot assume anything about A’s advisory skills hence assumption II is not necessary for the statement

14.A and B together can dive a trench in 12 days, which an alone can dive in 30 days. In how long B alone can burrow it?

  1. 18 days
  2. 19 days
  3. 20 days
  4. 21 days

Answer: C

Explanation:

(A+B)’s 1 day work = 1/12, A’s 1 day work =1/30

∴ B’s 1 day work = (1/12-1/30) = 3/60 = 1/20

Henceforth, B alone can dive the trench in 20 days.

15.In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. What is the Abhay’s speed?

  1. 5 kmph
  2. 6 kmph
  3. 6.25 kmph
  4. 7.5 kmph

Answer: A

Explanation:

Let Abhay’s speed be x km/hr.

Then,30–30= 3
x2x

https://www.indiabix.com/_files/images/aptitude/1-sym-imp.gif 6x = 30

https://www.indiabix.com/_files/images/aptitude/1-sym-imp.gif x = 5 km/hr.

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