Test: Quantitative Aptitude - 3 - Bank Exams MCQ

Let P be the principal amount, n be the number of years and R be the rate of interest.

7000 = P + P x 4 x R/100 ⇒ 4PR/100 = 7000 – P – (I)

7400 = P + P x 1.20 x 4PR/100 ⇒ P + 1.20 x 4PR/100 = 7400 – (II)

Sub (I) in (II) ⇒ P + 1.20 x (7000 – P) = 7400

=> P = Rs.5000

(I) ⇒ 4 x 5000 x R/100 = 7000- 5000

⇒ R = 10%

Let x be the total weight of newly included boys.

12 x 152 + x = 156 x 14

⇒ x = 360

Average height of the new boys = 360/2 = 180cm

Let the number be x.

4x + 20 = 5x + 8

⇒ x = 12

Total distance = 250km

Relative speed = 24 + 26 = 50kmph

Time taken to cross each other = Distance/Speed = 250/50 = 5 hours

Speed of the train = 180 x 5/18 = 50m/s

Length of the train = Speed x Distance

= (50 + 12) x 10

= 620 m

15% of 4000 + 25% of 8000 =? * 13

⇒ 600 + 2000 = ? x  13

⇒ ? = 200

(15 x 15 + 14 x 14 + 420)/29 =?

(15 x 15 + 14 x 14 + 420)/(15 + 14) =?

(a + b)²/(a + b) = (a + b)

⇒ (15 + 14)²/(15 + 14)

⇒ (15 + 14)

⇒ 29

144 x 1728 = 12^?

⇒ 12² x 12³ = 12^?

⇒ ? = 2 + 3 = 5

150 + 105/7 + 42 x 0.5 =? x 6

⇒ 150 + 15 + 21 =? x 6

⇒ 186/6

⇒ 31

(10 x 10 + 8 x 8 – 10 x 8)/(1000 + 512) =?

⇒ (10 x 10 + 8 x 8 – 10 x 8)/(10³ + 8³) =?

(a² + b² – ab)/(a³ + b³) = 1/(a + b)

⇒ (10 x 10 + 8 x 8 – 10 x 8)/(10³ + 8³) = 1/(10 + 8)

⇒ 1/18

Let CP = Rs.100

Manufacturer makes 10% profit on CP = Rs.110

Overall profit = 20% = Rs.120

Profit % made by the seller = (120 – 110)/110 x 100 ≈ 9%

Let's break down the problem step by step to calculate the profit ratio for A and B after the mentioned time period.

Initial Investments:

• A's initial investment: Rs. 15,000
• B's initial investment: Rs. 24,000

Investment Changes Over the Years:

For A:

1. First Year:
   • Investment = Rs. 15,000
2. Second Year:
   • Increase by 20%: 15,000×1.20=Rs.18,000
3. Third Year:
   • Increase by 25%: 18,000×1.25=Rs.22,500
4. Fourth Year:
   • Increase by 30%: 22,500×1.30=Rs.29,250

For B:

1. First Year:
   • Investment = Rs. 24,000
2. Second Year:
   • Increase by 16.66%: 24,000×1.1666≈Rs.28,000
3. Third Year:
   • Increase by 25%: 28,000×1.25=Rs.35,000
4. Fourth Year:
   • Increase by 40%: 35,000×1.40=Rs.49,000

Profit Ratio Calculation:

The profit ratio will be the sum of their investments over the years.

• A's Total Investment:

  15,000+18,000+22,500+29,250=Rs.84,750

• B's Total Investment:

  24,000+28,000+35,000+49,000=Rs.1,36,000

Now, we simplify the ratio:

Length of the rectangle = 8x and breadth of the rectangle = 7x.

8x x 7x = 224 ⇒ x = 2cm

Length of the rectangle = 16cm and breadth of the rectangle = 14cm

Radius of the circle = 14cm

Area of circle = πr² = 616cm²

Efficiency ratio ⇒ P: Q: R = 4: 1: 2

Days taken ⇒ P: Q: R = ¼: 1/1: ½

= 1: 4: 2

Time taken by the boat to row 15km upstream and back

= (2 x D x Speed in still water)/((Speed in still water)² – (Speed of stream)²)

= (2 x 15 x 4)/(4² – 2²)

= 10 hours

Number of managers in the companies C, D and E together = 10 + 8 + 10 = 28

Number of leads in the companies A, B and C together = 8 + 9 + 10 = 27

Required ratio = 28: 27

Number of managers in the company A and E together = 5 + 10 = 15

Number of leads in the company B and D together = 9 + 6 = 15

Required difference = 0

Managers in company B = 12

Male managers = 2/3 x 12 = 8

Leads in company D = 6

Male leads = 2/3 x 6 = 4

Required difference = 8 – 4 = 4

Number of leads in the companies B and C together = 9 + 10 = 19

Number of managers in the companies D and E together = 8 + 10 = 18

Required % = 19/18 x  100 = 106%

Number of leads in company C = 10

Number of male leads in company C = 4 and Number of female leads in C = 6

Required difference = 6 – 4 = 2