Intelligence Bureau ACIO 2017 Mathematics Paper

The average price of 80 mobile phones is Rs. 30,000/-. If the highest and lowest price of mobile phones are sold out then the average price of remaining 78 mobile phones is Rs. 29,500/-. The cost of the highest mobile is Rs. 80,000/-. The cost of lowest price mobile is ?
(a) Rs. 18000/-
(b) Rs. 15000/-
(c) Rs. 19000/-
(d) Can’t be determined.

In a Company the average income of all the employees is Rs. 20,000/- per month. Recently the company announced increment of Rs. 2000/- per month for all the employees. The new average income of all the employees is ?
(a) Rs. 1,22,000/-
(b) Rs. 24,000/-
(c) Rs. 28,000/-
(d) Rs. 26,000/-

Pranav went to the bank at the speed of 60 kmph while returning for his home he covered the half of the distance at the speed of 10 kmph, but suddenly he realised that he was getting late so he increased the speed and reached the home by covering rest half of the distance at the speed of 30 kmph. The average speed of the Pranav in the whole length of journey is ?
(a) 24 kmph
(b) 14 kmph
(c) 16 kmph
(d) 10 kmph

The average expenditure of Mr. Sharma for the January to June is Rs. 4200/- and he spent Rs. 1200/- in January and Rs. 1500/- in July. The average expenditure for the month of February to July is ?
(a) Rs. 2750/-
(b) Rs. 3250/-
(c) Rs. 4250/-
(d) Rs. 4500/-

At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether ?
(a) 20
(b) 45
(c) 55
(d) 90

The average presence of students of a class in a College on Monday, Tuesday and Wednesday is 32 and on the Wednesday, Thursday, Friday & Saturdary is 30. If the average number of students on all the six days is 26 then the number of students who attended the class on Wednesday is ?
(a) 50
(b) 40
(c) 60
(d) 70

Suresh started his journey from P to Q by his bike at the speed of 40 kpmh and then, the same distance he travelled on his foot at the speed of 10 kmph from Q to R. Then he returned from R to P via Q at the speed of 24 kmph. The average speed of the whole trip is ?
(a) 18.5 kmph
(b) 19.8 kmph
(c) 18.2 kmph
(d) 19.2 kmph

Ramesh walked 6 km to reach the station from his house, then he boarded a train whose average speed was 60 kmph and thus he reached his destination. In this way he took a total time of 3 hours. If the average speed of the entire journey was 32 kmph then the average speed of walking is ?
(a) 5 kmph
(b) 8 kmph
(c) 2 kmph
(d) 4 kmph

Bala travels first one-third of the total distance at the speed of 10 kmph and the next one third distance at the speed of 20 kmph and the last one third distance at the speed of 60 kmph. What is the average speed of Bala ?
(a) 18 kmph
(b) 19 kmph
(c) 16 kmph
(d) 12 kmph

The distance of the School and house of Suresh is 80 km. One day he was late by 1 hour than the normal time to leave for the college, so he increased his speed by 4 kmph and thus he reached to college at the normal time. What is the changed speed of Suresh ?
(a) 28 kmph
(b) 25 kmph
(c) 20 kmph
(d) 24 kmph