Quantitative Aptitude Quiz - 31 | Bank Exams

1. The sum of five consecutive even numbers is equal to 230. What is the sum of the largest number amongst them and the square of the smallest number amongst them?
a) 1684
b) 1464
c) 1784
d) 1844
e) None of these

2. The area of a square is three-fifth the area of a rectangle. The length of the rectangle is 25 cm and its breadth is 10 cm less then its length. What is the perimeter of the square?
a) 60 cm
b) 80 cm
c) 44 cm
d) Can't be determined
e) None of these

3. Raju purchased an item for Rs.8200 and sold it at the gain of 25%. From that amount he purchased another item and sold it at the loss of 20%. What is his overall gain/loss?
a) Loss of Rs.140
b) Gain of Rs.120
c) Loss if Rs.150
d) Neither gain or loss
e) None of these

4. The length of a rectangle is 16 cm which is 2 cm more than the diameter of a circle. What is the area of a circle?
a) 112 sq cm
b) 176 sq cm
c) 161 sq cm
d) 132 sq cm
e) None of these

5. The simple interest accured in 4 yr on a principal of Rs.25000 is two-tenth the principal. What is the rate of simple interest per cent per annum?
a) 5
b) 4
c) 6
d) 2
e) None of these

6. The body weight of six boys is recorded as 54 kg, 64 kg, 75 kg, 67 kg, 45 kg and 91 kg. What is the average body weight of all six boys?
a) 72 kg
b) 62 kg
c) 76 kg
d) 66 kg
e) None of these

7. The ratio between the present ages of Indira and Lizzy is 3 : 8 respectively. After eight years, Indira's age will be 20 yr. What was Lizzy's age 5 yr ago?
a) 37 yr
b) 27 yr
c) 28 yr
d) 38 yr
e) None of these

8. The average speed of a train is 9/2 times the average speed of a tractor. The tractor covers 384 km in 16 h. How much distance will the train cover in 12 h?
a) 1396 km
b) 1296 km
c) 1406 km
d) 1460
e) None of these

9. To fill a certain tank, Pipes A, B and C take 20 min, 15 min and 12 min, respectively. If the three pipes are opened every alternate minute, how long will it take to fill the tank?
a) 5 min
b) 10 min
c) 12 min
d) 15 min
e) None of these

10. What will be the percentage profit after selling an article at a certain price if there is a loss of 45% when the article is sold at one-third of the previous selling price?
a) 45%
b) 60%
c) 55%
d) Can't be determined
e) None of these

Answers:

1. (e) Middle number = 230/5 = 46
hence, 42, 44, 46, 48, 50
So, (42)^2 + 50 = 1814

2. (a) Length of rectangle = 25cm, and breadth = (25 - 10) = 15 cm
Area of square = 3/5 * Area of rectangle => (side)^2 = 3/5 * 25 * 15
side = sq root.(225) = 15 cm
Perimeter of square = 4 * 15 = 60 cm.

3. (d) Let x = 25% and y = -20%
Total percentage of profit/loss = ( x + y + xy/100) % = 0%.

4. (e) Diameter of circle = length of rectangle - 2 cm = 14 cm.
Radius of circle = 14/2 = 7 cm
Hence, Area of circle = 22/7 * 7 * 7 = 154 sq. cm.

5. (a) 2/10 = (1 * R * 4)/100 => R = 5% per annum.

6. (d) Average weight = (54+64+75+67+45+91)/6 = 396/6 = 66 kg.

7. (b) Let the present age of Indira = 3x yr and present age of Lizzy = 8x yr.
According to questio,
After eight year, Indira's age = 20 => 3x + 8 = 20 => x = 4.
Present age of Lizzy = 8 * 4 = 32 and five years ago Lizzy's age = 32 - 5 = 27 yr.

8. (b) Speed of tractor = 384/16 = 24 km/h
Speed of train = 9/2 * Speed of tractor = 9/2 * 24 = 108 km/h.
Distance covered in 12 h by train = 108 * 12 = 1296 km.

9. (d) Part of the tank filled in 1st 3 min = 1/20 + 1/15 + 1/12 = 1/5
Hence, total time taken = 5 * 3 = 15 min.

10. (e) When the second SP is 1/x of the original selling price, then 
Profit % = x(100 - loss percent) - 100 
= 3(100 - 45) - 100 = 65%.