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Ram went to the market and bought a mathematical book and two pencils for Rs 165. Rahim went to the market and bought the same book and the same 10 pencils for Rs 170. The value of each pencil is? |

A) 0.5
B) 1
C) 0.75
D) 2
Correct Answer : 0.5 Explanation :Let the price of book is X and pencil is Y. X+2*Y=165 |

A man has some chicken and some cow, if the ratio of the number of head and the number of feet is 12: 35, then what should be the number of chickens, if the number of head is only 48? |

A) 28
B) 26
C) 24
D) 22
Correct Answer : 26 Explanation :As given, the ratio of the number of head and the number of feet =12 : 35 and the number of head is 48- Hence, the number of feet = 35*4 =140 |

The cost of a diamond varies directly as the square of its weight. A diamond broke into four pieces with their weights in the ratio of 1 : 2 : 3 : 4. If the loss in total value of the diamond was 70000 what was the price of the original diamond? |

A) 100000 B) 140000 C) 150000 D) 175000 Correct Answer : 100000 Explanation :Let the weights of the pieces of diamond are x, 2x, 3x, 4x. Total loss = 100x Total cost of original diamond = 100x |

The ratio of two numbers is 1 : 5 and their product is 320. What is the difference between the square of these two numbers? |

A) 1024 B) 1256 C) 1536 D) 1640 Correct Answer : 1536 Explanation :Let the number are x and 5x Therefore Numbers are 8 and 40. |

A man left 1/3 rd of his property to his wife and 3/5 th of the remainder to his daughter. He gave the rest to his son who received Rs. 6400/-. How much was his original property worth? |

A) 18000 B) 20000 C) 22000 D) 24000 Correct Answer : 24000 Explanation :Let total property of man= x His son's property = x−[(x/3)+(2x/5)] Hence, total property=24000 |

The sum of the digits of a two-digit number is 11. The number obtained by interchanging its digits exceeds the given number by 27. Find the number? |

A) 47
B) 56
C) 38
D) 58
Correct Answer : 47 Explanation :Let x be units digit and y be tens digit.then number is 10y + x from eq2 by adding eq1 and eq3 |

By what number should we multiply -1/5 so that the product may be 9/25? |

A) 5/9 B) -5/9 C) -9/5 D) 9/5 Correct Answer : -9/5 Explanation :Let the number be x ,then |

Aamir and Birju can cut 5000 g of wood in 20 min. Birju and Charles can cut 5000 g of wood in 40 min. Charles and Aamir can cut 5 kg of wood in 30 min. How much time Charles will take to cut 5 kg wood alone? |

A) 120 min
B) 48 min
C) 240 min
D) 120/7 min
Correct Answer : 240 min Explanation :5000g = 5kg Let Aamir, Birju and Charles alone can complete the work in A, B and C minutes respectively, then work done in one min by C = (A+B+C) - (A+B) |

Assume that a sum of money is divided equally among n girls. Each girl will receive $60. If another girl is added to the group and the sum is divided equally among all the girls, each child girl gets a $50 share. What is the sum of money? |

A) $3000
B) $300
C) $110
D) $10
Correct Answer : $300 Explanation :As is given, 60*n = 50*(n+1) ∴Sum of the money = 60*n= 60*5=>300 |

What least value must be assigned to * so that the number 197*5462 is divisible by 9? |

A) 2 B) 3
C) 4
D) 8
Correct Answer : 2 Explanation :Let the missing digit be x |

When we multiply a certain two digit number by the sum of its digits , 405 is achieved. If we multiply the number written in reverse order of the same digits by the sum of the digits, we get 486. Find the number? |

A) 81 B) 45
C) 36
D) 12
Correct Answer : 45 Explanation :Let the number be x y. (10x+y)(x+y)=405....................1 If we multiply the number written in reverse order by its sum of digits we get 486. (10y+x)(x+y)=486......................2 dividing 1 and 2 The number is 45 |

The sum of all possible two digit numbers formed from three different one digit natural numbers when divided by the sum of the original three numbers is equal to? |

A) 18 B) 22
C) 36
D) 45
Correct Answer : 22 Explanation :Let the one digit numbers x,y,z |

A number being successively divided by 3,5,8 leaves remainder 1,4,7 respectively. Find the respective remainders if the order of divisors are reversed? |

A) 3, 2, 4 B) 4, 4, 4
C) 6, 4, 2
D) 5, 3, 2
Correct Answer : 6, 4, 2 Explanation :Let the quotient be q . |

The arithmetic mean of two numbers is smaller by 24 than the larger of the two numbers and the GM of the same numbers exceeds by 12 the smaller of the numbers. Find the numbers? |

A) 6,54 B) 8,56
C) 12,60
D) 7,55
Correct Answer : 6,54 Explanation :Let the numbers be a,b where a is smaller than b. AM of two numbers is a+b/2 The GM of the two numbers exceeds by 12 the smaller of the numbers GM of two numbers is (ab)^1/2 from eq...1 b=a+48 Therefore, b=a+48=54 |

The sum of squares of the digits constituting a positive two digit number is 13, If we subtract 9 from that number we shall get a number written by the same digits in the reverse order. Find the number? |

A) 65 B) 56
C) 45
D) 32
Correct Answer : 32 Explanation :Let the digit number be x y. And, num(x, y)-9= num(y, x) (x-y)^2 =x^2+y^2-2xy x^2+y^2=13 from e2+e1 Therefore the number is, xy = 32 |

If we add the square of the digit in the tens place of the positive two digit number to the product of the digits of that number we get 52,and if we add the square of the digit in the unit's place to the same product of the digits we get 117.Find the two digit number? |

A) 18 B) 28
C) 39
D) 49
Correct Answer : 49 Explanation :
(square of digit in unit place)+(product of digits)=117 dividing 1 and 2 it is clear that two digit number is n(x,y),10x+y = 49 |