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Quantitative Aptitude0%

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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

Directions (Q.1 to Q.3): What will come in place of question mark (?) in the given questions?

Correct

Incorrect

Question 2 of 10

2. Question

1 points

Category: Quantitative Aptitude

Directions (Q.1 to Q.3): What will come in place of question mark (?) in the given questions?

Correct

Incorrect

Question 3 of 10

3. Question

1 points

Category: Quantitative Aptitude

Directions (Q.1 to Q.3): What will come in place of question mark (?) in the given questions?

Correct

Incorrect

Question 4 of 10

4. Question

1 points

Category: Quantitative Aptitude

Directions Q.4: What should come in the place of the question mark (?) in following number series problems?

1015 508 255 129 66.5 ? 20.875

Correct

Incorrect

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?

Correct

Solution -: Let the original rate be R%. Then, new rate = (2R)%.
∴ ( 725×R×1/ 100) + (362.50×2R×1/ 100×3 ) = 33.50
⇒ (2175 + 725)R = 33.50×100×3 = 10050
⇒ R = 10050/2900 = 3.46%

Incorrect

Solution -: Let the original rate be R%. Then, new rate = (2R)%.
∴ ( 725×R×1/ 100) + (362.50×2R×1/ 100×3 ) = 33.50
⇒ (2175 + 725)R = 33.50×100×3 = 10050
⇒ R = 10050/2900 = 3.46%

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

A sum is divided between A and B in the ratio of 1 : 2. A purchased a car from his part, which depreciates 14 (2/7) % per annum and B deposited his amount in a bank, which pays him 20% interest per annum compounded annually. By what percentage will the total sum of money increase after two years due to this investment pattern (approximately)?

Correct

Solution: Let the amounts be Rs. 100 and Rs. 200 respectively.
The value of the 100 would become 100 × 6/7 × 6/7 = 3600/49 = 73.46
The other person’s investment of 200 would become 200 × 1.2 × 1.2 = 288
The total value would become 288 + 73.46 = 361.46
This represents approximately a 20% increase in the value of the amount after 2 year.

Incorrect

Solution: Let the amounts be Rs. 100 and Rs. 200 respectively.
The value of the 100 would become 100 × 6/7 × 6/7 = 3600/49 = 73.46
The other person’s investment of 200 would become 200 × 1.2 × 1.2 = 288
The total value would become 288 + 73.46 = 361.46
This represents approximately a 20% increase in the value of the amount after 2 year.

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

Ram and Shyam appear for an interview for two vacancies in an organization for the same post. The probabilities of their selection are 1/6 and 2/5 respectively. What is the probability that at least one of them will be selected?

Two guns were fired from the same place at an interval of 10 minutes and 30 seconds, but a person in the train approaching the place hears the second shot 10 minutes after the first. The speed of the train (in km/hr), supposing that sound travels at 330 metres per second, is

Correct

Solution: Let the speed of the train be x m/sec. Then, Distance travelled by the train in 10 min. = Distance travelled by sound in 30 sec.
⇔ x × 10 × 60 = 330 × 30
⇔ x = 16.5.
∴ Speed of the train = 16.5 m/sec = (16.5× 18/5) km/hr = 59.4 km/hr

Incorrect

Solution: Let the speed of the train be x m/sec. Then, Distance travelled by the train in 10 min. = Distance travelled by sound in 30 sec.
⇔ x × 10 × 60 = 330 × 30
⇔ x = 16.5.
∴ Speed of the train = 16.5 m/sec = (16.5× 18/5) km/hr = 59.4 km/hr

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

A vessel is full of refined oil. ¼ of the refined oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 liters of refined oil is finally left in the vessel, what is the capacity of the vessel?

Correct

Solution : Let the quantity of refined oil initially be Q. Then we have Q × 3/4 × 3/ 4 × 3/ 4 × 3/ 4 = 10 → 2560/81 litres.

Incorrect

Solution : Let the quantity of refined oil initially be Q. Then we have Q × 3/4 × 3/ 4 × 3/ 4 × 3/ 4 = 10 → 2560/81 litres.

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

The average weight of 36 students is 50 kg. If was found later that the weight of one of the student was misread as 73 kg. whereas his actual weight was 37 kg. Find the correct average weight(in kg).

Correct

Solution: Total correct weight of 36 students = 50 × 36 − 73+ 37 = 1800 − 36 = 1764 kg
Correct average = 1764 /36 = 49 kg

Incorrect

Solution: Total correct weight of 36 students = 50 × 36 − 73+ 37 = 1800 − 36 = 1764 kg
Correct average = 1764 /36 = 49 kg

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