1 . 
The digit at unit place of a twodigit number is increased by 100% and the digit at ten place of the same number is increased by 50%. The new number thus formed is 19 more than the original number. What is the original number ? 

Answer & Explanation
Answer : Option
E


Explanation : 







2 . 
In a coeducation school there are 15 more girls than boys. If the number of girls is increased by 10% and the number of boys is also increased by 16%, there would be nine more girls than boys. What is the number of students in the school? 

Answer & Explanation
Answer : Option
C


Explanation : 







3 . 
In a factory, producing parts of an automobile, the parts manufactured on the shop floor are required to go through quality checks, each conducted after a specific part of the processing on the raw material is completed. Only parts that are not rejected at one stage are put through subsequent stages of production and testing. If average rejection rates at these three testing stages during a month are 10%, 5% and 2% respectively, then what is the effective rejection rate for the whole plant ? 

Answer & Explanation
Answer : Option
D


Explanation : 







4 . 
The owner of a boutique decides to calculate the per centage of customers who purchase hats. If 40 per cent of the store's customers decide to purchase items, and of those customers 15 percent purchase hats, then what per cent of the store's customers purchase hats ? 

Answer & Explanation
Answer : Option
B


Explanation : 

15% of 40% = 6% 





5 . 
There were two candidates in an election. 10% of the voters did not vote. 60 votes were declared invalid. The elected candidate got 308 votes more than his opponent. If the elected candidate got 47% of the total votes, how many votes did each candidate get? 

Answer & Explanation
Answer : Option
D


Explanation : 

Only option (d) has difference of 308 and only 2914 is divisible by 47. 





6 . 
A student scored 30% marks in the first paper of Physics out of 180 marks. He has to get an overall score of at least 50% in two papers. The second paper is carrying 150 marks. The percentage of marks he should score in the second paper to get the overall average score is: 

Answer & Explanation
Answer : Option
C


Explanation : 







7 . 
The total tractor population in a state is 2,94,00 out of which 1,50,00 are made by Mahindra & Mahindra. Out of every 100 Mahindra tractors, 98 are red in colour, but only 53% of the total tractor population is red. Find the percentage of nonMahindra tractors that are red. 

Answer & Explanation
Answer : Option
C


Explanation : 







8 . 
In an examination, Mohit obtained 20% more than Sushant but 10% less than Rajesh. If the marks obtained by Sushant are 1080, find percentage marks obtained by Rajesh if the full marks are 2000. 

Answer & Explanation
Answer : Option
A


Explanation : 







9 . 
The population of a village is 10,000. If the population increases by 10% in the first year, by 20% in the second year and due to mass exodus, it decreases by 5 % in the third year, what will be its population after 3 years? 

Answer & Explanation
Answer : Option
D


Explanation : 

Population after 1st year = $110 \over 100$ $\times$ 10000 = 11000 Population after 2nd year = $120 \over 100$ $\times$ 11000 = 13200 Population after 3rd year = $95 \over 100$ $\times$ 13200 = 12540 Hence, population after 3rd year = 12, 540. 





10 . 
In a medical certificate, by mistake a candidate gave his height as 25 % more than actual. In the interview panel, he clarified that his height was 5 feet 5 inches. Find the percentage correction made by the candidate from his stated height to his actual height. 

Answer & Explanation
Answer : Option
B


Explanation : 







11 . 
There are two candidates Bhiku and Mhatre for an election. Bhiku gets 65 % of the total valid votes. If the total votes were 6,000, what is the number of valid votes that the other candidate Mhatre gets if 25 % of the total votes were declared invalid? 

Answer & Explanation
Answer : Option
A


Explanation : 







12 . 
The population of a variety of tiny bush in an experimental field increases by 10% in the first year, increases by 8% in the second year but decreases by 10% in the third year. If the present number of bushes in the experimental field is 26730, then the number of variety of bushes in the beginning was: 

Answer & Explanation
Answer : Option
C


Explanation : 







13 . 
Lucknow Shatabdi Express has a capacity of 500 seats of which 10% are in the Executive class and the rest are chair cars. During one journey, the train was booked to 85% of its capacity. If Executive class was booked to 96% of its capacity, then how many chair car seats were empty during that journey? 

Answer & Explanation
Answer : Option
B


Explanation : 

Seats in executive class = 50 Seats in chair cars = 450 Total booked seats = 425 Booked in executive class = 48 Therefore, seats booked in chair cars = (425  48) = 377 Empty seats in chair cars = 450  377 = 73 





14 . 
p% of a number P is q% more than r% of the number R. If the difference between P and R is r% of R and if the sum of P and R is 210, then which of the following statements is always true ? 

Answer & Explanation
Answer : Option
A


Explanation : 

Let us start with option (a). Since, P + R = 210, P = 110 and R = 100 is correct. 





15 . 
'A' wants to secure an annual income of Rs. 1500 by investing in 15% debentures of face value Rs. 100 each and available for Rs. 104 each. If the brokerage is 1%, then the sum of money he should invest is : 

Answer & Explanation
Answer : Option
C


Explanation : 







16 . 
In a shipment of 120 machine parts, 5 per cent were defective. In an another shipment of 80 machine parts, 10 per cent were also defective. For the two shipments combined, what per cent of the machine parts were defective? 

Answer & Explanation
Answer : Option
B


Explanation : 

Total no. of machine parts in both the shipments = (120 + 80) = 200 Total defective machine parts in both the shipments = 120 $\times$ 5% + 80 $\times$ 10% = 6 + 8 = 14 Therfore, required % = $14 \over 200$ $\times$ 100 = 7% 





17 . 
Anthony got 30% of the maximum marks in an examination and failed by 10 marks. However, Amar who took the same examination, got 40% of the total marks and got 15 more than the passing marks in the examination. What were the passing marks in the examination ? 

Answer & Explanation
Answer : Option
D


Explanation : 







18 . 
Mr. Yadav spends 60% of his monthly salary on consumable items and 50% of the remaining on clothes and transport. He saves the remaining amount. If his savings at the end of the year were Rs.48,456, how much amount per month would he have spent on clothes and transport ? 

Answer & Explanation
Answer : Option
B


Explanation : 







19 . 
Nilam's Mathematics Test had 75 problems i.e., 10 arithmetic, 30 algebra and 35 geometry problems. Although she answered 70% of the arithmetic, 40% of the algebra and 60% of the geometry problems correctly, she did not pass the test because she got less than 60% of the problems right. How many more questions would she have needed to answer correctly to earn 60% passing grade? 

Answer & Explanation
Answer : Option
B


Explanation : 







20 . 
Hari had three not books X, Y, Z. Of these, X had 120 pages, Y had 10% more pages and Z had 10% pages less. If he tore roughly 5%, 10% and 15% of pages in X, Y and Z respectively, then what per cent of pages did he tear out ? 

Answer & Explanation
Answer : Option
B


Explanation : 







