Saturday, 14 April 2018

Rakesh Maths Questions For Competitive Exams 2018, RR ACADEMY MEERUT

Q1. Three men A, B and C start a business together. They invest Rs 30000, Rs 24000 and Rs 42000 respectively in the beginning. After 4 months, B took out Rs 6000 and C took out Rs 10000. They get a profit of Rs 11960 at the end of the year. B’s share in the profit is (approximately)
(a) Rs 2700
(b) Rs 2803
(c) Rs 2900
(d) Rs 2785
(e) Rs 3000

Q2. A, B and C started a business in a partnership with investment of Rs 12000, Rs 26000 and Rs 32000 respectively. After 4 months A leaves. After 6 months B leaves and A joines with an amount equal to his earlier investment. After 10 months, C leaves and B joins with his prior investment. At the end of the year they earn a profit of Rs 53622. Find the share of B in the annual profit.
(a) Rs 17221
(b) Rs 17212
(c) Rs 17222
(d) Rs 18212
(e) Rs 24212

Q3. The ratio between the angles of a quadrilateral is 3 : 4 : 6 : 7. Half of the second largest angle of the quadrilateral is equal to the smaller angle of a parallelogram. What is the value of adjacent angle to the smaller angle of the parallelogram?
(a) 136°
(b) 126°
(c) 94°
(d) 96°
(e)106°

Q4. Find the selling price of goods if two salesmen claim to make 25% profits each, one calculating it on cost price while another on the selling price, the difference in the profits earned being Rs 100 and selling price being the same in both the cases.
(a) Rs 2000
(b) Rs 1600
(c) Rs 2400
(d) Rs 2500
(e) Rs 2050

Q5.  5 litres of water is added to a certain quantity of pure milk costing Rs 3 per liters. If by selling the mixture at the same price as before, a profit of 20% is made, then what is the amount of pure milk in the mixture?
(a) 20 litres
(b) 30 litres
(c) 25 litres
(d) 35 litres
(e) 28 litres

Solutions (1-5):




Q6. An amount of money is to be distributed among P, Q and R in the ration 6 : 19 : 7 respectively. If R gives Rs. 200 of his share to Q the ratio among P, Q and R becomes 3 : 10 : 3 respectively. What was the total amount?   
(a) Rs. 6400
(b) Rs.12800
(c) Rs. 3200
(d) Rs. 6800
(e) Rs. 7200

Q7.  A train travels with a speed of 20 m/s in the first 10 minutes, goes 8.5 km in the next 10 minutes, 11 km in the next 10, 8.5 km in the next 10 and 6 km in the next 10 minutes. What is the average speed of the train in kilometer per hour for the journey described?  
(a) 42 kmph
(b) 35.8 kmph
(c) 55.2 kmph
(d) 46 kmph
(e) 45.5 kmph

Q8. The average weekly salary per head of all employees (supervisors and labourers) is Rs. 100. The average weekly salary per head of all the supervisor is Rs. 600 while the average weekly salary per head of all the labourers is Rs. 75. Find the number of supervisors in the factory if there are 840 labourers in it.  
(a) 46
(b) 42
(c) 44
(d) 48
(e) 38

Q9.  A can do a piece of work in 12 days alone, B can do the same work in 16 days alone. After A has been working for 5 days and B for 7 days, C finishes it in 14 days. In how many days will C alone be able to do the work?   
(a) 86 days
(b) 94 days
(c) 96 days
(d) 98 days
(e) 92 days


Solutions (6-10):




Directions (11-15): Simplify the following questions and find the value of (?).
Q11. (252 ÷ 21 × 12) ÷ ? = 16 
(a) 11
(b) 9
(c) 8
(d) 13
(e) 17

Q12. 36865 + 12473 + 21045 – 44102 =?
(a) 114485
(b) 28081
(c) 26281
(d) 114845
(e) 79821

Q13. (21.6)² ÷ (– 7.2)² × ? = 15483.36 – 15276.09
(a) 23.03
(b) 23.3
(c) 32.03
(d) 32.3
(e) 42.3

Q14. 348 ÷ 29 × 15 + 156 = (?)³ + 120 
(a) 12
(b) 6
(c) 36
(d) 9
(e) 13


Solutions (11-15):


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