Maths Questions for SSC CGL, BANK PO and Railways exams

Maths Questions for Upcoming UP Police and Railways Exams

Q1. A number, when 35 is subtracted from it, reduces to its 80 percent. What is four fifth of that number? 
(a) 70
(b) 90
(c) 120
(d) 140
(e) 160

Q2. The sum of two numbers is 28/25 of the first number. The second number is what percent of the first? 
(a) 12%
(b) 14%
(c) 16%
(d) 18%
(e) 24%

Q3. The price of a car is Rs. 3,25,000. It was insured to 85% of its price. The car was damaged completely in an accident and the insurance company paid 90% of the insurance. What was the difference between the price of the car and the amount received? 
(a) Rs. 32,500
(b) Rs. 48,750
(c) Rs. 76,375
(d) Rs. 81,250
(e) Rs. 72,375

Q4. The interest on a certain deposit at 4.5% p.a. is Rs. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a.? 
(a) Rs. 20.25
(b) Rs. 22.50
(c) Rs. 25
(d) Rs. 42.75
(e) Rs. 25.20

Q5. Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 8160, how much money did he borrow? 
(a) Rs. 8000
(b) Rs. 10,000
(c) Rs. 12,000
(d) Rs. 10,500
(e) Rs. 14,000

Solutions (1-5):

Q6. In how many years will a sum of Rs. 800 at 10% per annum compounded semiannually become Rs. 926.10? 
(a) 4/3
(b) 3/2
(c) 7/3
(d) 5/2
(e) 5/7

Q7. A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs. 482 more, if the interest was payable half-yearly than if it was payable annually. The sum is: 
(a) Rs. 10,000
(b) Rs. 20,000
(c) Rs. 40,000
(d) Rs. 50,000
(e) Rs. 60,000

Q8. In how many different ways can the letters of the word ‘JUDGE’ be arranged in such a way that the vowels always come together? 
(a) 48
(b) 120
(c) 124
(d) 160
(e) 240

Q9. A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
(a) 32
(b) 48
(c) 64
(d) 96
(e)128

Q10. A box contains 10 black and 10 white balls. The probability of drawing two balls of the same colour, is: 
(a) 9/19
(b) 9/38
(c) 10/19
(d) 5/19
(e) 7/19

Solutions (6-10):

Directions (11 to 15) : The circle-graph given here shows the spendings of a country on various sports during a particular year. Study the graph carefully and answer the questions given below it. 

Q11. What percent of the total spendings is spent on Tennis? 
(a) 12.5%
(b) 22.5%
(c) 25%
(d) 45%
(e) 50%

Q12. How much percent more is spent on Hockey than that on Golf? 
(a) 27%
(b) 35%
(c) 37.5%
(d) 75%
(e) 80%

Q13. How much percent less is spent on Football than that on Cricket? 
(a) 200/9%
(b) 27%
(c) 100/3%
(d) 75/2%
(e) 25%

Q14. If the total amount spent on sports during the year was Rs. 2 crores, the amount spent on Cricket and Hockey together was: 
(a) Rs. 8,00,000
(b) Rs. 80,00,000
(c) Rs. 1,20,00,000
(d) Rs. 1,60,00,000
(e) None of these

Q15. If the total amount spent on sports during the year be Rs. 1,80,00,000, the amount spent on Basketball exceeds that on Tennis by:
(a) Rs. 2,50,000
(b) Rs. 3,60,000
(c) Rs. 3,75,000
(d) Rs. 4,10,000
(e) Rs. 2,60,000

Solutions (11-15):

Maths Questions Asked in Syndicate Bank PO

Q1. A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7 : 2 and 7 : 11 respectively. If equal quantities of alloys are melted to form a third alloy C, find the ratio of gold and copper in C. 

(a) 7 : 12 

(b) 14 : 13 

(c) 7 : 5 

(d) 2 : 11 

(e) 11 : 2

Q2. The ratio of present ages of two brothers is 1 : 2 and 5 years back, the ratio was 1 : 3. What will be the ratio of their ages after 5 years? 

(a) 1 : 4 

(b) 2 : 3  

(c) 3 : 5 

(d) 5 : 6 

(e) 6 : 5

Q3. Annual incomes of A and B are in the ratio 5 : 4 and their annual expenses are in the ratio 4 : 3. If each of them saves Rs. 700 at the end of the month, what is the monthly income of A? 

(a) Rs. 3500 

(b) Rs. 2400 

(c) Rs. 4200

(d) Rs. 8400 

(e) Rs. 9400

Q4. A water pipe is cut into two pieces. The longer piece is 70% of the length of the pipe. By how much percentage is the longer piece longer than the shorter piece? 

(a) 140%

(b) 400/3% 

(c) 40%

(d) 200/3%

(e) 45%

Q5. In a certain shop, 9 oranges cost as much as 5 apples, 5 apples cost as much as 3 mangoes, 4 mangoes cost as much as 9 lemons. If 3 lemons cost 48 paisa, price of an orange is? 

(a) 12 paisa 

(b) 14 paisa 

(c) 13 paisa 

(d) 15 paisa 

(e) 20 paisa

Solutions (1-5):

Q6. A shopkeeper sells 3/4 th of article at a gain of 20% and the remaining at cost price. His actual gain in the whole transaction is 

(a) 10%

(b) 15% 

(c) 20%

(d) 25%

(e) 30%

Q7. A sum of money lent out at simple interest amounts to Rs. 720 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is: 

(a) Rs. 500

(b) Rs. 600 

(c) Rs. 700 

(d) Rs. 710 

(e) Rs. 810

Q8. The compound interest on a sum of Rs. 4000 is Rs. 630.50 in 9 months. Find the rate of interest, if interest is compound quarterly. 

(a) 20%

(b) 23% 

(c) 19% 

(d) 21%

(e) 25%

Q9. If a number x is 10% less than another number y and y is 10% more than 125, then x is equal 

(a) 150

(b) 143

(c) 140.55 

(d) 123.75

(e) 127.35

Q10. If the amount is 2.25 times of the sum after 2 years at compound interest (compound annually), the rate of interest per annum is: 

(a) 25%

(b) 30%

(c) 45% 

(d) 50%

(e) 55%

Solutions (6-10):

Directions (Q11-15): What should come in place of question mark (?) in following simplification problems?

Q11. 361 × 250 ÷ 50 = 25 ×?

(a) 74.2

(b) 72.2

(c) 70.4

(d) 72.4

(e) 68.4

Q12. 56% of 450 +? = 300

(a) 52

(b) 48

(c) 42

(d) 56

(e) 54

Q13. 40% of 250 = 50% of ?

(a) 200

(b) 100

(c) 150

(d) 400

(e) 420

Q14. 81 + 20 × 0.75 – 9 =?

(a) 97

(b) 107

(c) 87

(d) 77

(e) 82

Q15. 22440 ÷ √(?)=34×12

(a) 55

(b) 3136

(c) 65

(d) 3025

(e) 3020

Solutions (11-15):