IB ACIO Paper 2012 – Mathematics

Intelligence Bureau ACIO Paper 2012 – Mathematics

A man decides to travel 80 km in 8 hours partly by foot and partly on a bicycle. If his speed on foot is 8 kmph, what distance would he travel on foot ?
(a) 20 km
(b) 30 km
(c) 48 km
(d) 60 km

Due to a 25% increase in the price of rice per kilogram, a person is able to purchase 20 kg less for Rs. 400. What is the increased price of rice per kilogram ?
(a) Rs. 5
(b) Rs. 6
(c) Rs. 10
(d) Rs. 4

A toy weighing 24 grams of an alloy of two metals is worth Rs. 174/-, but if the weights of the two metals be interchanged, the toy would be worth Rs. 162/- . If the price of one metal be Rs. 8 per gram, find the price of the other metal used to make the toy?
(a) Rs. 10/gram
(b) Rs. 6/gram
(c) Rs. 4/ gram
(d) Rs. 5/gram

Three bells chime at intervals of 48, 60 and 90 minutes respectively, if all the three bells chime together at 10 AM, at what time will all the three chime again that day.
(a) 1 PM
(b) 2 PM
(c) 8 Pm
(d) 10 PM

Find the last two digits of 15 x 37 x63 x51 x97 x17
(a) 35
(b) 45
(c) 55
(d) 85

After striking the floor, a ball rebounds to 4/5th of the height from which it has fallen. Find the total distance that it travels before coming to rest if it has been gently dropped from a height of 120 meters.
(a) 540 meters
(b) 960 meters
(c) 1080 meters
(d) 1120 meters

There is a 7-digit telephone number with all different digits. If the digit at extreme right and extreme left are 5 and 6 respectively, find how many such telephone numbers are possible.
(a) 10
(b) 1,00,000
(c) 6720
(d) 30,240

A speaks the truth 3 out of 4 times, and B 5 out of 6 times. What is the probability that they will contradict each other is stating the same fact ?
(a) 2/3
(b) 1/3
(c) 5/6
(d) 1/21

A circle is inscribed inside an equilatral triangle touching all the three sides. If the radius of the circle is 2 cm, find the area of the triangle.
(a) 15 x 1.732
(b) 18 x 1.732
(c) 12 x 1.414
(d) 12 x 1.732