Mathematics Quiz – 2 For RRB NTPC
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1. A river runs at 3 kmph. if the time taken by a man to row his boat upstream is twice the time taken by him to row it downstream , then at what speed can he row his boat in still water?
a) 9 kmph.
b) 12 kmph.
c) 10 kmph.
d) None of these
2.An amount of Rs 841 is divided among two persons so that they get equal amounts at a rate of 5% after 6 years and 8 years respectively. What is the smaller amount?
a) Rs 400
b) Rs 421
c) Rs 441
d) Rs 401
3. A man lends one of his prize money of Rs 20,000 to four persons. If he gets an interest of 12% on Rs 6000 from the first person, 8% for another R 6000, 4% on Rs 4000, what rate must he get on the remaining part to make his average annual interest 16%?
a) 28
b) 46
c) 36
d) 42
4. Find out the % change that will occur in area if the length of rectangle is increase by 30% and the width is decrease by 15%
a) 10.5
b) 11.5
c) 12.5
d) 13.5
5. A book costs Rs.480. If it is sold at a loss of 55%. What will be its cost price as a percentage of its selling price?
a) 222.22%.
b) 212.22%.
c) 202.22%.
d) None of these
6. A whole – seller allows a discount of 30 % on the list price to a retailer. The retailer sells at 10 % discount on the list price. If the customer paid Rs. 63 for an article, what profit is made by the retailer?
a) Rs. 9
b) Rs. 4
c) Rs.8
d) Rs.6
7. A trader offers his customers 15% discount and still makes a profit of 25%. What is the actual cost to him of an article marked Rs. 350.
a) Rs. 238
b) Rs. 338
c) Rs. 438
d) None of these
8. A man sells half of his articles at a gain of 25% and the remaining at cost price. What is the profit or loss percentage incurred?
a) 12.5%
b) 15%
c) 18.75%
d) 12.75%
9. Amit got thrice as many marks in Maths as in English. The proportion of his marks in Maths and History is 4:3. If his total marks in Maths, English and History are 250, what are his marks in English?
a) 120
b) 90
c) 40
d) 80
10. Two friends work in same company and ratio of their salaries is 3 : 5. First friend gets promoted after a year and his salary is increased by one third of the salary of his friend. Find the ratio of their current salaries.
a) 11 : 15
b) 2 : 3
c) 14 : 15
d) None of these
Answer
1. Answer: (a)
Explanation: let x be the speed of the boat in still water and speed of the river = 3 kmph
Speed upstream = x- 3 kmph
Speed downstream = x+3 kmph
(x-3)2t = (x+ 3) t
2 (x- 3) = x+ 3
X= 9 kmph.
2. Answer: (a)
3. Answer: (b)
4. Answer: (a)
5.Answer: (a)
Explanation: A loss of 55 % means cost price is 100 corresponding to a selling price of 45.
Cost price as a percentage of selling price = (100/45 × 100) = 222.22%.
6. Answer: (b)
Explanation: The customer pays Rs. 63 after a discount of 10%.
If the list price is Rs. x, then
X – 10% of x = 63
X = Rs. 70
Therefore, the list price = Rs. 70
The retailer buys the article at 30 % discount
= 70 – 30 % of 70
=Rs. 59
Then the profit for the retailer = Rs. (63 -59) = Rs.4.
7. Answer: (a)
8. Answer: (a)
9. Answer: (c)
10. Answer: (C)
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