Q1. Two cars, an Alto and a Swift, start at the same time in opposite directions from two distinct points P and Q. Starting from P, the Alto reaches Q in 6 hrs 20 minutes and the Swift starting from Q, reaches Pin 4 hrs 45 minutes. What is the speed of the Swift, if the speed of the Alto is 60 Km/h?
(a) 110 Km/h
(b) 100 Km/h
(c) 90 Km/h
(d) 80 Km/h
(e) 70 km/h
Q2. A can hit a target 4 times in 5 shots, B hits 3 times in 4 shots and C hits thrice in 3 shots. They fire together then find the probability that at least two shots hit the target.
(e) None of these
Q3. Ashwani has a certain amount of money with him. He can buy either 60 apples or 40 mangoes. He wants to spend only 70% of his money. So, he buys 14 mangoes and some apples. Find out the number of apples purchased by Ashwani.
Q4. A contractor undertook to construct a building in 120 days with 25 workers. However, after 57 days he observed that only 16% of the work is complete. How many more workers need to be employed to complete the work in time?
Q5. A man can row 40 Km upstream and 55 Km downstream in 13 h. Also, he can row 30 km upstream and 44 Km downstream in 10 h. Find the speed of the man in still water.
(a) 5 Km/h
(b) 2 Km/h
(c) 4 Km/h
(d) 6 Km/h
(e) 8 km/h
Directions (6-10): What should come in place of question mark(?) in the questions given below? (you are not expected to get exact values).
Q6. 4859.998 + 274.99 × 24.95 = ?
Q7. 7534.98 ÷ 501.99 × 1.006 = ?
Q8. 59.89% of 7085.01 – 4/11 of 1077.97 = ?
Q9. 231 + 14.9 × 27.9 + 39.88= ?
Directions (11-15): Given line graph shows the total number of students (Boys + Girls) doing graduation in six different colleges in a city.
Bar-graph given below shows the percentage distribution of students according to their subjects in graduation of college C (Each student takes only one subject in graduation and following six subjects are available in every college).
Q11. If number of girls studying History in college F is 18% of the students studying Physics and Chemistry together in college C and the number of boys studying History in college F are 15% more than number of girls studying same subject in the same college then number of students studying History in college F are what percent of those studying History in college C?
Q12. Number of students studying Maths in college A is 25% less than students studying Physics in college B. Number of girls studying Physics in college B is 10% more than number of students studying Chemistry in college C. Find number of boys studying Physics in college B is approximately how much percent more or less than Maths students in college A. (if boys and girls studying Physics in college B are in ratio of 4 : 3)
Q13. If number of students studying English in college D are 75% more than number of students studying Hindi in college E and total number of these students in college D and college E are X less than number of Hindi students in college C. Find difference between X and English studying students in college D if ratio of X and Chemistry students in college C is 61:96.
Q14. If ratio of number of girls in college A, B, C and D are 2 : 6: 5 : 4. And number of girls in college D is 30% more than total number of students studying Chemistry and English in college C, Then find average of number of boys from college A, B & C?
Q15. If total number of students in Maths & English together in college D is 5040 which is 85 5/7% of total number of Physics and Chemistry students in same college. Then find ratio of total number of Hindi and History students in college D to students studying History in college C?
(a) 78 : 93
(b) 77 : 90
(c) 11 : 18
(d) 17 : 27
(e) 56 : 65