1 . 
Sum of eight consecutive numbers of Set A is 376. What is the sum of five consecutive numbers of another set if its minimum number is 15 ahead of average of Set A ? 

Answer & Explanation
Answer : Option
B


Explanation : 

Average of Set A = $376 \over 8$ = 47 Minimum number of second set = 47 + 15 = 62 Hence, required sum = 62 + 63 + 64 + 65 + 66 = 320 





2 . 
Deepak has some hens and some goats. If the total number of animal heads is 90 and the total number of animal feet is 248, what is the total number of goats Deepak has ? 

Answer & Explanation
Answer : Option
C


Explanation : 







3 . 
The sum of the two digits of a number is 15 and the difference between them is 3. What is the product of the two digit number ? 

Answer & Explanation
Answer : Option
E


Explanation : 

x + y = 15 .... (i) x  y = 3 .... (ii) Add eqs. (i) and (ii) x = 9, y = 6 Product of two digits of the number = 9 $\times$ 6 = 54 





4 . 
There are some parrots and some tigers in a forest. If the total number of animal heads in the forest are 858 and total number of animal legs are 1746, what is the number of parrots in the forest ? 

Answer & Explanation
Answer : Option
E


Explanation : 







5 . 
On Republic Day sweets to be equally distributed among 450 children. But on that particular day, 150 children remained absent. Thus, each child got 3 sweets extra. How many sweets did each child get ? 

Answer & Explanation
Answer : Option
C


Explanation : 







6 . 
The difference between a two digit number and the number obtained by interchanging the two digit is of the number is 9. If the sum of the two digits of the number is 15, then what is the original number ? 

Answer & Explanation
Answer : Option
C


Explanation : 

Suppose the number is 10x + y. (When number at unit place is y and at tens place is x) (10x + y)  (10y + x) = 9 x  y = 1 .... (i) x + y = 15 .... (ii) Solving equation (i) and (ii) we get, x = 8; y = 7 Required number = 10 $\times$ 8 + 7 = 87 





7 . 
An AC consume 8 units of electricity in 30 minutes and a bulb consumes 18 units of electricity in 6 hours. How much total unit of electricity will both AC and bulb consume in 8 days if they run 10 hours a day ? 

Answer & Explanation
Answer : Option
D


Explanation : 

Total consumption of electricity = (10 $\times$ 16 $\times$ 8 + 3 $\times$ 10 $\times$ 8) unit = (1280 + 240) unit = 1520 unit 





8 . 
If the positions of the digits of a two digit number are interchanged, the number obtained is smaller than the original number by 27. If the digits of the number are in the ratio of 1 : 2, what is the original number ? 

Answer & Explanation
Answer : Option
B


Explanation : 

Suppose digit at tens place is 2$x$ and unit place is $x$. So original number = 20$x$ + $x$ = 21$x$ After interchanging the number = 10$x$ + 2$x$ = 12$x$ 21$x$  12$x$ = 27$x$= 3 So, number = 63 





9 . 
On a School's Annual Day sweets were to be equally distributed amongst 112 children. But on that paricular day, 32 children were absent. Thus the remaining children got 6 extra sweets. How many sweets was each child originally supposed to get ? 

Answer & Explanation
Answer : Option
C


Explanation : 

Suppose each child got x sweets. 112 $\times$ $x$ = (112  32) $\times$ (x + 6) 112 $x$ = 80 $\times$ (x + 6) 112 $x$ = 80$x$ + 480 112 $x$  80 $x$ = 480 x = 15 





10 . 
At the first stop on his route, a driver uploaded 2/5 of the packages in his van. After he uploaded another three packages at his next stop, 1/2 of the original number of packages remained. How many packages were in the van before the first delivery? 

Answer & Explanation
Answer : Option
C


Explanation : 







11 . 
An army Commander wishing to draw up his 5180 men in the form of a solid square found that he had 4 men less. If he could get four more men and form the solid square, the number of men in the front row is 

Answer & Explanation
Answer : Option
A


Explanation : 

An army commander has 5180 men in the form of a solid square. If he get four more men and form the solid square then no. of men in the front row = $\sqrt {5180 + 4}$ = $\sqrt {5184}$ = 72 





12 . 
The number zero (0) is surrounded by the same 2digit number on both (left and right) the sides; for example, 25025, 67067, etc. The largest number that always divides such a number is 

Answer & Explanation
Answer : Option
D


Explanation : 

First start with the option (d). 1001$\times$ 25 = 25025 1001$\times$ 67 = 67067 etc. Thus 1001 is the largest number which divides the numbers of the type 25025, 67067 etc. 





13 . 
A certain type of wooden board is sold only in lengths of multiples of 25 cm from 2 to 10 metres. A carpenter needs a large quantity of this type of boards in 1.65 meter length. For the minimum waste, the lengths to be purchased should be: 

Answer & Explanation
Answer : Option
C


Explanation : 

1.65m = 165 cm Required length = LCM of 25 and 165 = 825 cm = 8.25 m 





14 . 
Students of a class are preparing for a drill and are made to stands in a row. If 4 students are extra in a row, then there would be 2 rows less. But there would be 4 more rows if 4 students are less in a row. The number of students in the class is : 

Answer & Explanation
Answer : Option
A


Explanation : 







15 . 
Heera dealt some cards to Mohan and himself from a full pack of playing cards and laid the rest aside. Heera then said to Mohan, 'If you give me a certain number of your cards, I will have 4 times as many card as you have. If I give you the same number of cards, I will have thrice as many card as you have.' How many cards did Heera have ? 

Answer & Explanation
Answer : Option
A


Explanation : 







16 . 
A student was asked to divide a number by 6 and add 12 to the quotient. He, however, first added 12 to the number and then divided it by 6, getting 112 as the answer. The correct answer should have been : 

Answer & Explanation
Answer : Option
A


Explanation : 

Let the number be x. Then, as per the operation undertook by the student, we have ${x + 12} \over 6$ = 112 $\Rightarrow$ $x$ = 660 Hence, the correct answer = $660 \over 6$ + 12 = 122 





17 . 
The charges for a fiveday trip by a tourist bus for one full ticket and a halfticket are Rs.1,440 inclusive of boarding charges which are same for a full ticket and a half ticket. The charges for the same trip for 2 full tickets and one halftickets inclusive of boarding charges are Rs. 2,220. The fare for a half ticket is 75% of the full ticket. Find the fare and the boarding charges separately for one full ticket. 

Answer & Explanation
Answer : Option
C


Explanation : 







18 . 
A number of friends decided to go on a picnic and planned to spend ` 96 on eatables. Four of them, did not turn up. As a consequence, the remaining ones had to contribute ` 4 each extra. The number of those who attended the picnic was ? 

Answer & Explanation
Answer : Option
A


Explanation : 

Let initial number of friends to attend picnic = x. $96 \over x$ + 4 = $96 \over {x  4}$ .......(1) where (x  4) attended the picnic. On solving with the help of options from (a) to (d) we find x = 12 suits the equation (1). Hence the no. of friends who attended the picnic is 8. 





19 . 
An office has as many fourlegged chairs and as many fourlegged tables as workers, and as many threelegged stools as fourlegged almirahs. If the number of stools be one more than the number of workers and the total number of legs be 585, the number of workers in the office are? 

Answer & Explanation
Answer : Option
B


Explanation : 







20 . 
A, B, C and D play a game of cards. A says to B. 'If I give you 8 cards, you will have as many as C has and I shall have 3 less than what C has. Also if I take 6 cards from C, I shall have twice as many as D has. If B and D together have 50 cards, how many cards has A got ? 

Answer & Explanation
Answer : Option
D


Explanation : 







21 . 
The students present in an auditorium are asked to stand in rows. If there were 4 students extra in a row there would be 4 less rows. However, if 2 students were less in a row, there would be 4 more rows. The number of students present in the auditorium is 

Answer & Explanation
Answer : Option
B


Explanation : 







22 . 
A hostel has provisions for 250 students for 35 days. After 5 days, a fresh batch of 25 students was admitted to the hostel. Again after 10 days, a batch of 25 students left the hostel. How long will the remaining provisions survive? 

Answer & Explanation
Answer : Option
B


Explanation : 

Provisions for one student = 250 $\times$ 35 = 8750 250 students used provisions for 5 days. Total provisions used by 250 student in 5 days = 250 $\times$ 5 = 1250 Remaining provision = 8750  1250 = 7500 After 5 days total number of student = 250 + 25 = 275 Total provisions used by 275 student in 10 days 275 $\times$ 10 = 2750 Now Remaining = 7500  2750 = 4750 After 15 days no. of student = 275  25 = 250 4750 = 250 $\times$ no. of extra days No. of extra days = $4750 \over 250$ = 19 days 





23 . 
A class of students attended a charity show with entrance ticket of Rs. 3.70 per girl and Rs. 4.50 per boy. If the strength of the class and the amount collected from the class are 160 and 640 respectively, find the number of girls and boys in the class (respectively) who attended the show. 

Answer & Explanation
Answer : Option
D


Explanation : 

Let the number of boys be x Number of girls = 160  $x$ 4.5 $\times$ x + 3.7 (160  x) = 640 4.5x + 592  3.7x = 640 4.5x  3.7x = 640  592 0.8x = 48 $\Rightarrow$ $x$ = $48 \over 0.8$ = 60 Number of girls = 160  60 = 100 





24 . 
A number when divided by a divisor leaves a remainder of 24.When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor? 

Answer & Explanation
Answer : Option
D


Explanation : 

Let the original number be 'a' Let the divisor be 'd' Let the quotient of the division of a by d be 'x' Therefore, we can write the relation as a/d = x and the remainder is 24. i.e., a = d$x$+24 When twice the original number is divided by d,2a is divided by d. We know that a = d$x$+24. Therefore, 2a = 2d$x$+48 The problem states that (2d$x$+48)/d leaves a remainder of 11. 2d$x$ is perfectly divisible by d and will therefore, not leave a remainder. The remainder of 11 was obtained by dividing 48 by d. When 48 is divided by 37, the remainder that one will obtain is 11. Hence, the divisor is 37. 





25 . 
When 242 is divided by a certain divisor the remainder obtained is 8. When 698 is divided by the same divisor the remainder obtained is 9.However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4.What is the value of the divisor? 

Answer & Explanation
Answer : Option
C


Explanation : 

Let the divisor be d. When 242 is divided by the divisor, let the quotient be 'x' and we know that the remainder is 8. Therefore, 242 = xd+8 Similarly, let y be the quotient when 698 is divided by d. Then, 698 = yd+9. 242 + 698 = 940 = xd + yd + 8+9 940 = xd + yd + 17 As $x$d and yd are divisible by d, the remainder when 940 is divided by d should have been 17. However, as the question states that the remainder is 4, it would be possible only when 17/d leaves a remainder of 4. If the remainder obtained is 4 when 17 is divided by d, then d has to be 13. 





26 . 
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they again at the starting point? 

Answer & Explanation
Answer : Option
D


Explanation : 

L.C.M. of 252, 308 and 198 = 2772. So, A, B and C will again meet at the starting point in 2772 sec. i.e., 46 min. 12 sec. 





27 . 
In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun? 

Answer & Explanation
Answer : Option
A


Explanation : 

Let Arun's weight by $X$ kg. According to Arun, 65 < $X$ < 72 According to Arun's brother, 60 < $X$ < 70 According to Arun's mother, $X$ <= 68 The values satisfying all the above conditions are 66, 67 and 68. Required average = ${(66 + 67 + 68)} \over 3$ = $201 \over 3$ = 67 kg. 





28 . 
The difference between a twodigit number and the number obtained by interchanging the digits is 27. The sum of the digits is 15 and the digit at tens place is bigger than the digit at the unit's place. What is the twodigit number? 

Answer & Explanation
Answer : Option
B


Explanation : 

(10x  y)  (10y + x) = 27 x  y = 3 x + y = 15 So, x = 9 y = 6 Number = 96 





29 . 
There are 500 rooms in a multifloored hotel. However, due to a change in rule, the hotel has to decrease the number of floors by 5. However, the management is able to put 5 more rooms in each floor. Over all, the number of rooms in the hotel decreases by 10%. Find the number of floors and the number of rooms/floor the hotel originally had? 

Answer & Explanation
Answer : Option
C


Explanation : 

Let the number of floors be x and rooms per floor be y So, xy = 500 After the change, (x5) $\times$ (y+5) = 450 xy  5y + 5x  25 = 450 500  5(yx)  25 = 450 (As, xy = 500) 5(yx) = 25 yx = 5 (Only option c satisfies this condition) 





30 . 
In a regular week, there are 6 working days for each day the working hours are seven. A man gets Rs. 80 per hour for regular work and Rs. 100 per hour for over time. If he earns Rs. 30,880 in 8 weeks, then for how many hours does he work? 

Answer & Explanation
Answer : Option
B


Explanation : 

Let the man works overtime for x hours Now, working hours in 8 weeks = 8 $\times$ 6 $\times$ 7 = 336 hours 336 $\times$ 80 + $x$ $\times$ 100 = 30880 100$x$ = 30880  26880 = 4000 $x$ = 40 Total hours = 336 + 40 = 376 hours 





