# Practice Test

Q1) Consider a number n(n+1)(2n+1), where n is a positive integer. Then which of the following is necessarily false ? Show Answer

Q2) If n=1+x, where x is the product of four consecutive positive integers, then which of the following is/are true
I. n is odd
II. n is prime
III. n is a perfect square Show Answer

Q3) On a straight road xy, 100 meters long, five heavy stones are placed two meters apart beginning at the end x. A worker, starting at x, has to transport all the stones to y, by carrying only one stone at a time. The minimum distance he has to travel ( in meters) is .........

Q4) The integers 34041 and 32506 when divided by a three digits integer n leave the same remainder then what is value of n ? Show Answer

Q5) Which least number when divided by 3,4 and 5 always leaves a remainder 2 ? Show Answer

Q6) The least number when divided by 4,5 and 6 leaves remainders 2,3 and 4 respectively is Show Answer

Q7) Product of two natural numbers is 216 and their HCF is 6. How many such pairs of natural numbers are possible ? Show Answer

Q8) How many zeros are there in 10!? Show Answer

Q9) The product of two numbers is 16200. If their LCM is 216, find their HCF Show Answer

Q10) 4a56 is a four digit number divisible by 33. What is the value of a? Show Answer

Q11) A two digit number is such that cube of its 24th part is the same as the number obtained by interchanging the digits of the number. What is the number. Show Answer

Q12) If the last 2 digits of a four digit number are interchanged, the new number obtained is greater than the original number by 54. What is the difference between the last two digits number ? Show Answer

Q13) The sum of the digits of a two digit number is 5. If we put the digits of the number in reverse order the new number is 41 less than twice the original. Find 40% of the number. Show Answer

Q14) What is the largest three-digit number, which when divided by 3,4,5 or 6 always leaves a remainder 2 ? Show Answer

Q15) If V(n)=n! what is the value of V (V(3))? Show Answer

Q16) Which of the following is NOT a divisor of 264? Show Answer

Q17) 18656 + 3789 + 9243 = ? Show Answer

Q18) Which of the following alternatives will come in place of question mark ?
4897 + 99897 + 825 = ? Show Answer

Q19) Which of the following alternatives will come in place of question mark ?
6895 + 89887 + 613 = ? Show Answer

Q20) Which of the following alternatives will come in place of question mark ?
1111 + 12121 + 1020102 = ? Show Answer

Q21) Which of the following alternatives will come in place of question mark ?
333 + 11313 + 3010303 = ? Show Answer

Q22) Which of the following alternatives will come in place of question mark ?
3509 + 145 + 48 = ? Show Answer

Q23) Which of the following alternatives will come in place of question mark ?
1087.05 + 187.005 + 87.005 = ? Show Answer

Q24) Which of the following alternatives will come in place of question mark ?
10101.001 + 1001.01 + 101.1 = ? Show Answer

Q25) Which of the following alternatives will come in place of question mark ?
8888 + 888 + 88 = ? Show Answer

Q26) Which of the following alternatives will come in place of question mark ?
8563 + 3792 + 4085 =? Show Answer

Q27) Which of the following alternatives will come in place of question mark ?
876.23 + 729.49 = ? Show Answer

Q28) 58963 - 27369 = 67092 - ? Show Answer

Q29) 7857 - 3642 - ? = 4364 - 1256 Show Answer

Q30) 6972 - 3432 - ? = 3648 - 1256 Show Answer

Q31) 21092 - (3645 - 115 ) = ? Show Answer

Q32) 9305 - 5126 - 1107 = ? Show Answer

Q33) 9369 - 3098 = 8067 - ? Show Answer

Q34) 436.279 - 211.116 - 107.102 = ? Show Answer

Q35) 2860 - 1320 - 1259 = ? Show Answer

Q36) 87523 - 41569 - ? - 10149 = 2638 Show Answer

Q37) 87693 - ? - 4725 - 169 = 20410 Show Answer

Q38) 6.68 - 3.08 - 1.97 = ? Show Answer

Q39) 2.02 x 1.93 x 0.5 = ? Show Answer

Q40) 1.85 x 0.6 x 2.01 = ? Show Answer

Q41) 1/5 of 2/3 of 675 = ? Show Answer

Q42) 3/7 of 2/3 of 560 = ? Show Answer

Q43) 126 x 1(2/3) x 4 = ? Show Answer

Q44) 14.07 x 1.25 x 2.5 = ? Show Answer

Q45) 539 x 627 = ? Show Answer

Q46) 6.5 x 7.5 x 8.5 = ? Show Answer

Q47) ? x 19 = 4750 Show Answer

Q48) 25678 - 6967 + 3148 = ? Show Answer

Q49) 15.4729 - 7.6834 + 18.3698 = ? Show Answer

Q50) 27.5 + 14.5 x 28.2 = ? Show Answer

Q51) 32 + 8 x 12 = ? Show Answer

Q52) 101 x (100 - 93) = (? - 533) Show Answer

Q53) 29.37 - 18.89 + 2.002 + 0.57 = ? Show Answer

Q54) 89.62 + 20.20 - 1.92 + 0.23 = ? Show Answer

Q55) 25 + 7 x 14 = ? Show Answer

Q56) 1.5 x 1.2 - 0.06 x 0.5 = ? Show Answer

Q57) 5728 - 1829 + 356 = 5000 - ? Show Answer

Q58) 76.59 + 129.052 - 38.314 = ? + 45.72 Show Answer

Q59) 7586 + 11254 - ? = 8976 Show Answer

Q60) 6893 - 4236 + 647 = ? - 1344 Show Answer

Q61) 87.42 + 131.05 - 46.112 = ? + 56.75 Show Answer

Q62) 3879 + 8215 - ? = 4936 Show Answer

Q63) 1.6 x 2.5 - 0.08 x 0.4 = ? Show Answer

Q64) 12.1212 + 17.0005 - 9.1102 = ? Show Answer

Q65) 16.25 x 18 + 7.50 = ? Show Answer

Q66) 5562 - 68 x 22 - 11 = ? Show Answer

Q67) 202 x (200-175) = (? + 3500) Show Answer

Q68) 7835 - ? + 123 x 11 = 6295 Show Answer

Q69) Which of the following numbers is not a complete cube ?

Q70) Find the number by which 4608 should be divided so that quotient is a perfect cube ? Show Answer

Q71) Which is the least number which when multiplied by 392, the product is the complete cube ? Show Answer

Q72) The product of two numbers is 600. If their LCM is 120 then find their HCF. Show Answer

Q73) Find the HCF of 24 and 44. Show Answer

Q74) Find the HCF of 18, 24, 36 and 48 Show Answer

Q75) Find the LCM of 108, 120, 156. Show Answer

Q76) Find the LCM of 18, 28, 108, 105. Show Answer

Q77) Find the greatest number that divides 204, 1190, 1445 exactly. Show Answer

Q78) The H.C.F. and L.C.M. of two numbers are 38 and 98154 respectively. If one of the nos. is 1558, what is the other number? Show Answer

Q79) Find the least number, by which 3888 is multiplied so that the resulting number is a perfect square. Show Answer

Q80) Find the least number which must be subtracted from 6156 to make it a perfect square. Show Answer

Q81) A number when divided by a certain divisor left remainder 63. When twice the given number was divided by same divisor, remainder was 55. What is the divisor? Show Answer

Q82) 4.7 x 13.23 + 4.7 x 9.43 + 4.7 x 77.34 Show Answer

Q83) A number is "fantastic" if it is a multiple of 2, 3 and 4. How many fantastic numbers are there between - 100 and 100 ? Show Answer

Q84) If 0 < x < 1, which of the following lists the numbers in increasing order ? Show Answer

Q85) Find the total number of factors of 76230 Show Answer

Q86) Three students A,B and C buys a set of books. A pays 4/15th of the cost, B pays 3/5th of the cost and C pays the rest which is equal to 100 Rs. What is the cost of the set ? Show Answer

Q87) A number when divided by 145 leaves the remainder 59. What is the remainder if it is divided by 29. Show Answer

Q88) If the product of 6 consecutive integers is equal to one of them. What is the smallest possible value of one of the integers ? Show Answer

Q89) What fractional part of the week is 96 hours. Show Answer

Q90) A wealthy businessman gave away 1/2 of his wealth to the first son; 1/3 of the remaining to the second son; 1/2 of the remaining to his third son; and the rest to his youngest son. If the youngest son got Rs.6 lakhs. What is the total wealth of the business ? Show Answer

Q91) Find the greatest number that will divide 119,201 and 239 leaving remainders 2,3 and 5 respectively. Show Answer

Q92) Find the least number which when by 12,15, 20 and 35 leaves the remainder 6 in each case. Show Answer

Q93) Find the smallest number which when increased by 5 is divisible by each of 24, 32, 36 and 54. Show Answer

Q94) Find the length of the largest possible square slab which can be used in paving the floor 5m 44cm long and 3m 74 cm broad ? Also find the number of slabs required. Show Answer

Q95) Sum of two numbers is 670 and their G.C.M., is 67. How many such pairs of numbers are possible ? Show Answer

Q96) Miss Dimple buys some apples at 5 per rupee from one trader, and a similar quantity at 7 per rupee from another trader. She mixes both the varieties, and sells the whole at 6 per rupee. What is the profit or loss percentage that she makes ? Show Answer

Q97) In a school 437 boys and 342 girls have been divided into the largest possible separate classes, so that in each class number of boys is same as number of girls. What is the number of classes ? Show Answer

Q98) A Gardner planted sapling in such a way that every row had as many sapling as every column. If in all there are 841 saplings, how many sapling were there in each row ? Show Answer

Q99) Find the number whose square is equal to the difference between the squares of 6467 and 4683. Show Answer

Q100) What is the value of |x| - x Show Answer

Q101) The value of (-2) - [-2] Show Answer

Q102) Find the least number of 4 digits which is exactly divisibly 16. Show Answer

Q103) Three people take steps of lengths 30'',36'' and 40'' respectively. They start off together with same speed each with the right foot. How far have they gone before, each one has the right foot together once again. Show Answer

Q104) Four bells toll at intervals of 40 sec, 45 sec, 60 sec, and 70 sec respectively. They start together. After how many minutes will they next toll together. Show Answer

Q105) Find the least number of four digits which is exactly divisible by 2, 3, 4, 5, 6 and 7. Show Answer

Q106) Find the least number which when divided by 8, 12 and 16 leaves remainder 3, but when divided by 7 leaves no remainder. Show Answer

Q107) A trader has 3 kinds of sugars, of the first kind 117kg, of the second 130 kg and of the third 143 kg. The least number of full casks of equal size in which this can be stored without mixing is. Show Answer

Q108) Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ? Show Answer

Q109) Find the square root of 53361 Show Answer

Q110) A : The number of prime numbers is less than 15
B : The number of odd integers greater than and less than 15. Show Answer

Q111) x, y and z are negative integers
A : The product of x, y and z
B : The sum of x, y and z Show Answer

Q112) A : The product of the integers from -7 to 3
B : The product of the integers from -3 to 7 Show Answer

Q113) 1 < a < b < 2
A : ab
B : a + b Show Answer

Q114) A : The least number which when divided by 36, 48 and 64 leaves the remainders 25,37 & 53