Special Quant Quiz for SSC CGL

Q1. A square and a rectangle have equal areas. If their perimeters are p_1 and p_2 respectively, then:

Q2. ABC is a right-angled triangle with right angle at B. If the semi-circle on AB with AB as diameter encloses an area of 81 sq. cm and the semi-circle on BC with BC as diameter encloses an area of 36 sq. cm, then the area of the semi-circle on AC with AC as diameter will be:
(a) 117 cm^2
(b) 121 cm^2
(c) 217 cm^2
(d) 221 cm^2

Q3. The difference between the circumference and the radius of a circle is 37 cm. The area of the circle is:
(a) 111 cm^2
(b) 148 cm^2
(c) 154 cm^2
(d) 259 cm^2

Q4. 2 metres broad pathway is to be constructed around a rectangular plot on the inside. The area of the plot is 96 sq. m. The rate of construction is Rs. 50 per square metre. Find the total cost of the construction
(a) Rs. 2400
(b) Rs. 4000
(c) Rs. 4800
(d) Data inadequate

Q5. The length of a blackboard is 8 cm more than its breadth. If the length is increased by 7 cm and breadth is decreased by 4 cm, the area remains the same. The length and breadth of the blackboard (in cm) will be:
(a) 28, 20
(b) 34, 26
(c) 40, 32
(d) 56, 48

Q6. A milk vendor has 2 cans of milk. The first contains 25% water and the rest is milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
(a) 4 litres, 8 litres
(b) 6 litres, 6 litres
(c) 5 litres, 7 litres
(d) 7 lites, 5 litres

Q7. The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:
(a) Rs. 18
(b) Rs. 18.50
(c) Rs. 19
(d) Rs. 19.50

Q8. The speed of a boat in still water is 10 km/hr. If it can travel 26 km downstream and 14 km upstream in the same time, the speed of the stream is:
(a) 2 km/hr
(b) 2.5 km/hr
(c) 3 km/hr
(d) 4 km/hr

Q9. Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:
(a) 16 hours
(b) 18 hours
(c) 20 hours
(d) 24 hours

Q10. The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time do they meet?
(a) 10 a.m.
(b) 10.30 a.m.
(c) 11 a.m.
(d) 11.30 a.m.

Solutions

1.A
2.A
3.C
4.D
5.A
6.B
7.A
8.C
9.D
10.C