**These SBI Probationary Officers Quantitative Aptitude Questions will help the candidates to prepare better for exams by understanding the type of questions that usually come in the exam and give a fair idea of the difficulty of the questions.**

**Quantitative Aptitude**

**Questions with Answers**

1. A dealer allowed a discount of 25% on the marked price of Rs. 12000 on an article and incurred a loss of 10%. What discount should he allow on the marked price so that he gains Rs. 440 on the article?

**[SBI PO 2015]**

(a) 11% (b) 13% (c) 19% (d) 15% (e) None of these (

**Ans :**b)

2. The distance between two points is 36 km. A boat rows in still water at 6 kmph. It takes 8 hours less to cover this distance in downstream in comparison to that in upstream. The rate of stream is–

**[SBI PO 2014]**

(a) 3 kmph (b) 2 kmph (c) 2.5 kmph (d) 4 kmph (e) None of these (

**Ans :**a)

3. In how many different ways can the letters of the word ‘MIRACLE’ be arranged?

**[SBI PO 2008]**

(a) 720 (b) 5040 (c) 2520 (d) 40320 (e) None of these (

**Ans :**b)

4. In how many different ways a group of 4 men and 4 women be formed out of 7 men and 8 women?

**[SBI PO 2007]**

(a) 2450 (b) 105 (c) 1170 (d) Cannot be determined (e) None of these (

**Ans :**a)

5. A boat takes 6 hours to travel from place M to N downstream and back from N to M upstream. If the speed of the boat in still water is 4 km./hr., what is the distance between the two places?

**[SBI PO 2006]**

(a) 8 kms. (b) 12 kms. (c) 6 kms. (d) Data inadequate (e) None of these (

**Ans :**d)

6. What was the amount spent on Electricity?

**[SBI PO 2005]**

(a) Rs. 132 millions (b) Rs. 13.2 lakhs (c) Rs. 126 millions (d) Rs. 12.6 lakhs (e) None of these (

**Ans :**e)

7. In how many ways can a group of 5 men and 2 women be made out of total of 7 men and 3 women?

**[SBI PO 2003]**

(a) 63 (b) 45 (c) 126 (d) 90 (e) None of these (

**Ans :**a)

8. A man gave 20% of his salary to his only son and only daughter. The ratio of amount given to son and daughter is 3 : 2 respectively. Twice the amount what he gave to his daughter, he invested in LIC. Out of the remaining amount he gave one-fourth to his wife. After that he was left with Rs. 16800. Find out the amount invested in LIC.

**[SBI PO 2015]**

(a) Rs. 5600 (b) Rs. 5400 (c) Rs. 5800 (d) Rs. 6200 (e) None of these (

**Ans :**a)

9. Three typists P, Q and R have to type 368. P types one page in 8 minutes, Q in 18 minutes and R in 24 minutes. In what time will these pages be typed in they work together?

**[SBI PO 2014]**

(a) 25 hours (b) 27.6 hours (c) 27 hours (d) 28 hours (e) None of these (

**Ans :**b)

10. Which of the following smallest numbers should be added to 6659 to make it a perfect square?

**[SBI PO 2008]**

(a) 230 (b) 65 (c) 98(d) 56 (e) None of these (

**Ans :**b)

11. In how many different ways can be letter of the word SOFTWERE be arranged in such a way that the vowels always come together?

**[SBI PO 2007]**

(a) 13440 (b) 1440 (c) 360 (d) 120 (e) None of these (

**Ans :**e)

12. How many different words can be formed with the letters of the word ‘ALLAHABAD’?

**[SBI PO 2006]**

(a) 7500 (b) 7560 (c) 7510 (d) 7580 (e) None of these (

**Ans :**b)

13. The salary of an employee increases consistently by 50% every year. If his salary today is Rs. 10,000, what will be the salary after another 4 years?

**[SBI PO 2005]**

(a) Rs. 62,500 (b) Rs. 26,500 (c) Rs. 50,625 (d) Rs. 33,750 (e) None of these (

**Ans :**c)

14. In how many different ways can the letters of the word CORPORATION be arranged in such a way that the vowels always come together?

**[SBI PO 2003]**

(a) 840 (b) 86400 (c) 8400 (d) 1440 (e) None of these (

**Ans :**e)

15. The wheat sold by a grocer contained 10% low quality wheat. What quantity of good quality wheat should be added to 150 kgs of wheat so that the percentage of low quality wheat becomes 5%?

**[SBI PO 2002]**

(a) 150 kgs (b) 135 kgs (c) 50 kgs (d) 85 kgs (e) None of these (

**Ans :**a)

16. In how many different ways can the letters of the word JUDGE be arranged in such a way that the vowels always come together?

**[SBI PO 2001]**

(a) 48 (b) 124 (c) 120 (d) 160 (e) None of these (

**Ans :**a)

17. In a bag there are 4 white, 4 red and 2 green balls. Two balls are drawn at random. What is the probability that at least one ball is of green colour?

**[SBI PO 2015]**

(a) 4/5 (b) 3/5 (c) 1/5 (d) 2/5 (e) None of these (

**Ans :**d)

18. From a container of milk, 5 liters of milk is replaced with 5 liters of water. This process is repeated again. Thus in two attempts the ratio of milk and water became 81 : 19. The initial amount of milk in the container was–

**[SBI PO 2014]**

(a) 50 litres (b) 45 litres (c) 40 litres (d) 25 litres (e) None of these (

**Ans :**a)

19. What is 348 times 265?

**[SBI PO 2008]**

(a) 88740 (b) 89570 (c) 95700 (d) 92220 (e) None of these (

**Ans :**d)

20. The difference between a two digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

**[SBI PO 2007]**

(a) 4 (b) 9 (c) 3 (d) Cannot be determined (e) None of these (

**Ans :**a)

21. An um contains 9 red, 7 white and 4 black balls. If two balls are drawn at random, find the probability that both the balls are red.

**[SBI PO 2006]**

(a) 17/95 (b) 18/95 (c) 1/12 (d) 91/190 (e) None of these (

**Ans :**b)

22. Present ages of Seema and Naresh are in the respective ratio of 5 : 7 Five years hence the ratio of their ages becomes 3 : 4 respectively. What is Naresh’s present age in years?

**[SBI PO 2005]**

(a) 25 (b) 40 (c) 30 (d) Cannot be determined (e) None of these (

**Ans :**e)

23. By how much is three-fifth of 350 greater than four-seventh of 210?

**[SBI PO 2003]**

(a) 120 (b) 210 (c) 95 (d) 110 (e) None of these (

**Ans :**e)

24. A boat running down stream covers a distance of 16 km in 2 hours while for covering the same distance upstream it takes 4 hours. What is the speed of the boat in still water?

**[SBI PO 2002]**

(a) 4 kmph (b) 6 kmph (c) 8 kmph (d) Data inadequate (e) None of these (

**Ans :**b)

25. Income of two companies A and B are in the ratio of 5 : 8 Had the income of company ‘A’ been more by Rs. 25 lakhs, the ratio of their incomes would have been 5 : 4 respectively. What is the income of company ‘B’?

**[SBI PO 2001]**

(a) Rs. 80 lakhs (b) Rs. 50 lakhs (c) Rs. 40 lakhs (d) Rs. 60 lakhs (e) None of these (

**Ans :**c)