1) The ratio between the school ages of Neeta and Samir is 5 : 6 respectively. If the ratio between the one-third age of Neeta and half of the Samir’s age is 5 : 9, then what is the school age of Samir?
a) 30 years
b) 25 years
c) 36 years
d) Cannot be determined
e) None of these
2) The ratio of number of students studying Arts, Commerce and Science in a College is 3 : 5 : 8. What is the new ratio of the number of students studying Arts, Commerce and Science respectively if there is an increase of 20%, 40% and 25% in the number of students studying Arts, Commerce and Science?
a) 18 : 35 : 50
b) 3 : 10 : 10
c) 4 : 8 : 5
d) 32 : 35 : 25
e) None of these
3) If 4x + 5y = 83 and 3x/2y = 21/22 then y – x = ?
a) 3
b) 4
c) 7
d) 11
e) None of these
4) What approximate value should come in the place of question mark(?) in the following equation?
98.98 ÷ 11.03 + 7.014 × 15.99 = (?)²
a) 131
b) 144
c) 12
d) 121
e) 11
5) A boat covers a distance of 30 km downstream in 2 hours while it take 6 hours to cover the same distance upstream. If the speed of the current is half of the speed of the boat then what is the speed of the boat in km per hour?
a) 15 kmph
b) 5 kmph
c) 10 kmph
d) Data inadequate
e) None of these
6) The production of a company has ups and downs every year. The production increases for two consecutive years consistently by 15% and in the third year it decreases by 10%. Again in the next two years it increases by 15% each year and decreases by 10% in the third year. If we start counting from the year 1994 approximately what will be the effect on the production of the Company in 1998?
a) 37% increase
b) 42% increase
c) 52% increase
d) 32% increase
e) 27% increase
7) In how many different ways can the letters of the word LEADING be arranged so that the vowels always come together?
a) 39600
b) 360
c) 40320
d) 720
e) None of these
8) A man starts walking. He walked 2 km in the first hour. Then he walked two-thirds of the distance of the previous hour in each next hour. If he walked continuously then how long could he walk maximum?
a) 60 km
b) 6 km
c) 12 km
d) 8 km
e) None of these
9) Abhishek started a business investing Rs 50,000. After one year he invested another Rs 30,000 and Sudin also joined him with a capital of Rs 70,000. If the profit earned in three years from the starting of business was Rs 87,500, then find the share of Sudin in the profit?
a) Rs 37,500
b) Rs 32,500
c) Rs 38,281
d) Rs 52,500
e) None of these
10) The sum of the squares of three numbers is 532 and the ratio of the first and the second as also of the second and the third is 3 : 2. Then the first number is?
a) 8
b) 12
c) 18
d) 20
e) None of these