## Monday, 12 September 2016

### Quant Quiz (Area and Perimeter) For IBPS/BOB Exam

Q1. The hypotenuse and the semi-perimeter of a right triangle are 20 cm and 24 cm, respectively. The other two sides of the triangle are:
(a) 16 cm, 12 cm
(b) 20 cm, 12 cm
(c) 20 cm, 16 cm
(d) 20 cm, 14 cm
(e) None of these

Q2. A ladder is placed so as to reach a window 63 cm high. The ladder is then turned over to the opposite side of the street and is found to reach a point 56 cm high. If the ladder is 65 cm long, then the width of the street is:
(a) 59 cm
(b) 39 cm
(c) 49 cm
(d) 29 cm
(e) None of these

Q3. The perimeter of an isosceles triangle is 306 m and each of the equal sides is 5/8 of the base. Find the area.
(a) 3648 m2
(b) 3468 m2
(c) 3846 m2
(d) 3569 m2
(e) None of these

Q4. In a quadrilateral ABCD, the sides, AB, BC, CD, DA measure 20 m, 13 m, 17 m and 10 m, respectively and the diagonal AC is 21 m. The area of the quadrilateral is:
(a) 210 m2
(b) 220 m2
(c) 240 m2
(d) 250 m2
(e) None of these

Q5. The perimeter of a circle is equal to that of a square compare their areas.
(a) 14 : 11
(b) 25 : 12
(c) 24 : 7
(d) 22 : 7
(e) None of these

Q6. Four circular cardboard pieces, each of radius 7 cm are placed in such a way that each piece touches two other pieces. The area of the space enclosed by the four pieces is:
(a) 21 cm2
(b) 42 cm2
(c) 84 cm2
(d) 168 cm2
(e) None of these

Q7.  A piece of wire 132 cm long is bent successively in the shapes of an equilateral triangle, a square, a regular hexagon, and a circle. Then, which has the largest surface area?
(a) Equilateral triangle
(b) Square
(c) Circle
(d) Regular hexagon
(e) Cannot be determined

Q8. If the diagonal of a square is doubled to make another square, the area of the new square will:
(a) Become 4-fold
(b) Become 2-fold
(c) Become 6-fold
(d) Become 8-fold
(e) None of these

Q9.  A garden is 24 m long and 14 m wide. There is a path 1m wide outside the garden along its sides. If the path is to be constructed with square marble tiles 20 cm × 20 cm, then find the number of tiles required to cover the path:
(a) 1800
(b) 200
(c) 2000
(d) 2150
(e) None of these

Q10.  If the length and breadth of a rectangle are in the ratio 3 : 2 and its perimeter is 20 cm, then the area of the rectangle (in cm^2) is:
(a) 24
(b) 48
(c) 72
(d) 96
(e) 26

Q11. A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the atitude of the parallelogram is 100 m, the atitude of triangle is:
(a) 100 m
(b) 200 m
(c) 100√2 m
(d) 10√2 m
(e) None of these

Q12. A is the centre of circle whose radius is 8 and B is the centre of a circle whose diameter is 8. If these two circles touch externally, then the area of the circle with diameter AB is:
(a) 36 π
(b) 64 π
(c) 144 π
(d) 256 π
(e) None of these

Q13. The lengths of three medians of a triangle are 9 cm, 12 cm and 15 cm. The area (in cm2) of the triangle is:
(a) 24
(b) 72
(c) 48
(d) 144
(e) None of these

Q14. If the measures of a diagonal and the area of a rectangle are 25 cm and 168 cm2 respectively, what is the length of the rectangle?
(a) 31 cm
(b) 24 cm
(c) 17 cm
(d) 27 cm
(e) None of these

Q15.  3 horses are tethered at 3 corners of a triangular plot of land having sides 20 m, 30 m and 40 m each with a rope of length 7 m. The area (in m2) of the region of this plot, which can be grazed by the horses is: (Use π=22/7)
(a) 77/3
(b) 75
(c) 77
(d) 80
(e) None of these