BENCHHMARK

Numerical Ability or Quantitative Aptitude Section is very important to get the best score in Banking and other competitive exams. Proper strategy, speed, and accuracy in this section will definitely award you the maximum marks in the examination.

1. Mr. Verma invested ₹ 40000 with rate of interest at 10 pcpa. The interest was compounded half yearly for first year and in the next year it was compounded yearly. What will be the total interest earned at the end of two years ?

1) 9050            2) 8860            3) 8510            4) 9240            5) None of these

2. In a box carrying one dozen of mangoes, one third have become bad. If 3 mangoes are taken out from the box at random, what is the probability that at least one mango out of the three mangoes picked up is good ?

1) ³/₅₅                2) ⁴¹/₅₅               3) ¹/₅₅                4) ⁵³/₅₅               5) None of these

3. In a mixture of milk and water, there is only 26% water. After replacing the mixture with 7 litres of pure milk, the percentage of milk in the mixture become 76%. The quantity of mixture is :

1) 76 litres       2) 48 litres       3) 91 litres       4) 64 litres       5) None of these

4. The ratio of age of A and B is p : q. If A’s age is increased by 3 years and B’s age is increased by 2 years then new ratio of their ages becomes 24 : 25. Given that the sum of their actual ages is 93 years. Find the actual ratio of their ages ?

1) 18 : 25         2) 15 : 16         3) 22 : 25        4) Can’t be determined           5) None of these

5. The pressure of definite mass of a gas is directly proportional to the temperature and inversely proportional to the volume under the given conditions. If temperature is increased by 40% and the volume is decreased by 20% then the new pressure will:

1) 25% decrease          2) 45% increase           3) 75% decrease         4) 75% increase 5) None of these

6. Sixteen percent of Harshit’s monthly salary is equal to 20% Shalini’s monthly salary. Gautam’s monthly salary is half that of Shalini’s monthly salary. If Gautam’s annual salary is ₹ 2.16 lacs, what is Harshit s monthly salary?

1) ₹ 56000       2) ₹ 28000       3) ₹ 45000       4) ₹ 40000       5) None of these

7. In a temple every devotee offers sweets to the Orphans. Thus every Orphan receives Rasogulla, Berfi and Laddu in the ratio of 2 : 3 : 5. But the weight of a Berfi is 32 gm and weight of Rasogulla and Laddu are in the ratio of 5 : 4, while the weight of a Laddu is 52 gm. Find the ratio of all the three sweets in terms of weight, that an Orphan gets.

1) 13 : 8 : 26 2) 65 : 48 : 130 3) 45 : 36 : 110 4) 130 : 108 : 240 5) None of these

8.Inside a square plot, a circular garden is developed which exactly fits in the square plot and the diameter of the garden is equal to the side of the square plot which is 42 m. What is the area of the space left out in the square plot after developing the garden?

1) 348 m² 2) 378 m² 3) 276 m² 4) 412 m² 5) None of these

9. A tank is completely filled in 15 hours but takes 5 hours more to fill because of a leak in the bottom of the tank. What time will the leak take to empty the completely filled tank?

1) 40 hours 2) 36 hours 3) 25 hours 4) 60 hours 5) Can’t be determined

10. Krishna, Shiva and Shyam start a business by investing ₹ 272000 together and Krishna invests ₹ 40000 more than Shiva while Shyam invests ₹ 8000 less than Shiva. If they earn a profit of ` 102000 at the end of the year then find the profit of Krishna?

1) 45000            2) 56000               3) 65000                  4) 35000 5) None of these

 

Answers:

Q	1	2	3	4	5	6	7	8	9	10
A	3	2	3	2	4	3	2	2	4	1

 

 Directions (Q. 1-5): Study the following information carefully and answer the given questions.

From a group of x sportsmen 50% participated in Olympic games, 53% participated in Asiad and 42% participated in Commonwealth Games (CWG). Ten percent participated in Olympics and Asiad but not in CWG, 14% participated in Olympics CWG but not in Asiad, and 5% participated in Asiad and CWG but not in Olympic games. Based on the information given, answer the following questions.

1. If the number of persons who participated in only Olympic games is 81, what is the total number of sportsmen?

1) 360       2) 420       3) 450       4) 480       5) 510

2. If the number of sportsmen who participated in exactly two events is 58, what is the number of persons who participated in all three events?

        1) 16         2) 20         3) 24         4) 12         5) 28

3. If x is equal to 300, how many sportsmen participated in all three events?

     1) 20         2) 24         3) 30         4) 36         5) 40

4. If the number of sportsmen who participated in all three events is 48, what is the number of sportsmen, who participated in Asiad?

1) 272       2) 296       3) 310       4) 318       5) 330

5. If x is equal to 300, what is the ratio of the number of sportsmen who participated only in Olympic games to the number of persons who participated only in CWG?

                1) 3 : 2      2) 4 : 3           3) 5 : 4         4) 6 : 5          5) 7 : 6

Arithmetic(September 20, 2018)

1. By selling a mobile at 7/16 of its selling price, a trader incurs a loss of 25%. What will be the approximate profit percent if the trader sells it at the actual selling price?

1) 68%              2) 78%              3) 72%                    4) 66%             5) 76%

2. An unbiased coin is tossed. If the tail turns up a person gains Rs. 60. If the heads turns up he losses Rs. 10. If 6 unbiased coins are tossed simultaneously, what is the probability that he gain Rs. 10 overall?

1) 5/32               2) 4/31               3) 3/32                      4) 5/31               5) 7/32

3. A park is in the form of a rectangle of dimension 160 m and 140 m. At the centre of the park a circular lawn is constructed. The area of park excluding the lawn in 21784 m2. Find the radius of lawn.

1) 3.5 m               2) 7 m               3) 14 m                   4) 10.5 m             5) 28 m

4. The digits at the unit place of a number is equal to the digits at the tens place of half of that number and digits at the tens place of that number is less than the digits at unit place of half of the number by 1. If the sum of digits of the number is seven, then what is the number?

1) 52              2) 25                 3) 61                  4) 43                 5) 70

5. Karthik is one more than four times as old as his daughter. After 12 years, the sum of their ages will be 80 years. Find the ratio of the present ages of Karthik and his daughter.

1) 48 : 11              2) 45 : 11               3) 45 : 13                4) 45 : 17                5) 49 : 11

6. A batsman in his 18th innings makes a score of 102 and there by increases his average by 5. What is his average after 18 innings?

1) 17                    2) 15                 3) 21                    4) 20                   5) 18

7. Anu takes as much time as Bhusan and Divya together take to finish a piece of work. If Anu and Bhusan together complete the work in 20 days. Divya alone can do the same work in 25 days. In how many days Bhusan alone complete the work?

1) 170 days               2) 175 days                  3) 180 days                 4) 200 days           5) 210 days

8. A car travels a distance of 96 km at a uniform speed. If the speed of car is 2 km/hr more, it takes 4 hours less to cover the same distance. Find the original speed of car.

1) 8 km/hr                    2) 4 km/hr                   3) 6 km/hr                 4) 36 m/s   5) 24 m/s

9. If a train crosses 420 m and 244 m long bridge in 24 seconds and 16 seconds respectively. Find the length and speed of the train.

1) 102 m, 24 m/s   2) 102 m, 22 m/s   3) 108 m, 22 m/s   4) 108 m, 24 m/s   5) 180 m , 22 m/s

10. A man can row 8 km/hr in still water. If the river is running at 4 km/hr, it takes 3 hours to row to a place and come back. How far is the place?

1) 8.5 km          2) 12 km              3) 8 km               4) 12. 5 km             5) 9 km