Quantitative Aptitude for IBPS PO IBPS RRB IBPS CLERK RBI ASSISTANT

Q1. A batsman average run rate was 60 runs in 50 innings. Difference between the highest and the lowest score was 180. If these two innings are not included the average of remaining 48 innings becomes 58. Find his lowest score.

(a) 10 runs 

(b) 12 runs 

(c) 18 runs 

(d) 15 runs 

(e) None of these

Q2. Mr. Ramesh spends 50% of his monthly income on household items, and out of the remaining the spends 50% on transport, and out of the remaining 10% on entertainment and 5% on sport, and the remaining amount of Rs. 1020 saved. What is Mr. Ramesh's expenditure on transport?

(a) Rs. 2000 

(b) Rs. 2200 

(c) Rs. 1200 

(d) Rs. 2600 

(e) None of these

Q3. Work done by A in one day is 3/2 of the work done by B in one day. Work done by B is 1/2 of the work done by C in one day. If C alone can complete the work in 9 days, in how many days will A, B and C together complete the work?

(a) 6 days 

(b) 5 days 

(c) 4 days 

(d) 10 days 

(e) None of these

Q4. A and B, B and C, and C and A can complete a task in 15, 20 and 12 days respectively. How many days will A alone take to finish the task?

(a) 30 days 

(b) 40 days 

(c) 22 days 

(d) 20 days 

(e) None of these

Q5. A right angle triangle with height 5 cm and base 12 cm. This triangle is rotated once accordingly its heights. Find the curved surface area of the cone obtained?

(a) 146 π 

(b) 136 π 

(c) 156 π 

(d) 166 π 

(e) None of these

Directions (6-10): Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:

(a) If statements I is sufficient to answer the question, but statement II by itself is not sufficient to answer the question.

(b) If statement II by itself is sufficient to answer the question, but statement I alone is not sufficient to answer the question.

(c) If statement either I or II is sufficient to answer the question.

(d) If both the statements I and II taken together are not sufficient to answer the question.

(e) If both the statements I and II taken together are sufficient to answer the question.

Q6.  A number is divisible by 3. Find the number. 

 I. Square of the number is divided by 9. 

 II. 40% of the number is 2/5 th of that number.

Q7.  What is the ratio of investment of Ram, Shyam, and Mahesh? 

 I. Total investment is Rs.6000 in which Ram’s contributions Rs. 3000

 II. Ratio of investment of Ram to Shyam is 3:2 and that of Shyam to Mahesh is 2:1.

Q8.  Area of a rectangle is equal to the area of a right angled triangle. What is length of the rectangle? 

 I. The base of the triangle is 80 cms. 

 II. The height of the triangle is 90 cms..

Q9. What is the speed of the boat in still water? 

 I. It takes 7 hour to cover distance between A and B downstream. 

 II. It takes 14 hour to cover distance between A and B upstream.

Q10. What percent of families in the U.P have an annual expense of over 1,50,000 and own a Bungalow? The number of families is 1,50,000. 

 I. 28% of the families in U.P have an expenses of 1,50,000. 

 II. 40% of the families in U.P have an annual expense over 1,50,000 and own a Bungalow.

Q11.  The ratio of ducks and frogs in a pond is 37: 39 respectively. The average number of ducks and frogs in the pond is 152. What is the number of frogs in the pond?

(a) 148

(b) 152

(c) 156

(d) 144

(e)  143

Q12.  P and Q are two taps which can fill a tank individually in 5 minutes and 10 minutes respectively. However, there is a leakage at the bottom which can empty a filled tank in 15 minutes. If the tank is empty initially, how much time will both the taps take to fill the tank (leakage is still there)?

(a) 4(2/7) min

(b) 3(5/7) min

(c) 5 min

(d) 2 min

(e)  None of these

Q13.  What approximate amount of compound interest can be obtained on an amount of Rs. 1950 at the rate of 6% p.a. at the end of 3 years?

(a) Rs. 347.4

(b) Rs. 384

(c) Rs. 344

(d) Rs. 372.5

(e)  Rs. 368.5

Q14. If the fractions 7/4, 8/5, 8/3, 4/3, 3/4 are arranged in descending order of their values, which one will be fourth?

(a) 7/4

(b) 3/4

(c) 8/5

(d) 4/3

(e)  8/3

Q15. Ravan scored 456 marks in an exam and Amitabh got 54 per cent marks in the same exam which is 24 marks less than Ravan. If the minimum passing marks in the exam is 34 percent, then how much more marks did Ravan scored than the minimum passing marks?

(a) 184

(b) 196

(c) 190

(d) 180

(e)  185

SOLUTION:

S1. Ans (c)
Total runs = 60×50 = 3000 runs
After excluding two innings.
Total runs = 48×58 = 2784 runs
H + L = 216, and H – L = 180
Lowest (L) = 18runs

S2. Ans (c)
Salary spends in Household’s item = 50%
Transport = 50% of remaining salary
Entertainment and sports = (10 + 5) %
Remaining salary Household’s item = 50%
Transport = 50%
Entertainment and sports = 85%
Now, 1/2 * 1/2 * 17/20 * total salary = 1020
Total salary = Rs. 4800
Expenditure on transport = 4800 * 1/2 * 1/2 = Rs. 1200

S3. Ans (c)
Let work done by B in one day be ‘x’
So, work done by A in one day = 3x/2
work done by C in one day = 2x
C can alone complete the work in 9 days
Total work = 9*2x = 18x
Work done by A, B and C together in one day = 3x/2 + x + 2x = 9x/2
Total days required to complete the work by them = 18x/(9x/2)=4 days

S4. Ans (d)
1 day work when they work together
= 1/2(1/15 + 1/20 + 1/12) = 1/2{(4 + 3 + 5)}/60 = 1/2 * 12/60 = 1/10
Together they can complete in 10 days.
A's alone one day work = (1/10 - 1/20) = 1/20
A can alone complete this task = 20 day

S5. Ans (c)
l = √(52+122) = 13
Curved surface area = π* r * l = π* 12 * 13 =156 π

S6. Ans.(d) 

Sol. From the first statement If any number is divisible by 3, its square is always divisible by 9. So we cannot find the number from the given statement. 

From second statement 40% of the number is 2/5th of that number. So the question cannot be answered even after using both statements together.  

S7. Ans.(b) 

Sol. From statement first we can’t find the answer as shayam and Mahesh investment are not given. From second statement their ratio are= 3 : 2 : 1 

So second statement is sufficient to given the answer.

S8. Ans.(d) 

Sol. Area of rectangle =area of right triangle

= (1/2)*base*height =(1/2)*80*90 = 3600 

Area of rectangle =3600 

So we can’t find the length by neither alone statement nor together.

S9. Ans.(d) 

Sol. In both the statement there is nothing mention about distance so we can’t find the answer.

S10. Ans.(b) 

Sol. From the second statement clearly we can find out the number of families which have exp and bungalow. (150000*40)/100=60000

S11. Ans.(c) 

Sol. Let number of ducks = 37x 

And number of frogs = 39x 

Average = 38x = 152

x = 4. 

Hence number of frogs = 39x = 156

S12. Ans.(a) 

Sol. Let the capacity of the tank is 30 litres. 

P can fill 6 litres in one min. 

Q can fill 3 litres in one min. 

C can empty 2 litre in one min 

Together both the pipes and leakage will fill 7 litres in one min. 

Hence time to fill the tank = 30/7 mins

S13. Ans.(d) 

Sol. P = 1950, 

R = 6%, 

N = 3 years 

CI = 1950(1+6/100)^3

= 1950 * 1.06 * 1.06 * 1.06 = 2322.48

Total interest = 2322.48 – 1950 = 372.5 (approx)

S14. Ans.(d) 

Sol. The fraction in descending order are 8/3, 7/4, 8/5, 4/3, 3/4.

S15. Ans.(a) 

Sol. Let the maximum marks in the examination be x

Now, 54% of x = 456 – 24 = 432

x = (432*100)/54=800

Minimum passing marks = 34% of 800 = 272

Required Difference = 456 – 272 = 184