Mathematical Reasoning & Aptitude Practice Questions

Number series

1. Find the missing number in the following series.

512, 256, 128, ?, 32, 16, 8

(a) 52 (b) 61  (c) 64 (d) 56

2. Find the missing number in the following series.

2, 7, 17, 32, 52, 77,?

(a) 107 (b) 91 (c) 101 (d) 92

3. Find the missing number in the following series. 15, 18, 24, ?, 45

(a) 27 (b) 30 (c) 33 (d) 36

4. Fill in the missing number in the following arrangement based on some principle.

 8 6 4 3 ? 7 14 15 18

(a) 4 (b) 5 (c) 6 (d) 8

1. (c): Each number is half of its preceding number.

2. (a): +5, +10, +15, +20, +25, +30

3. (c): +3, +6, +9, +12

4. (b): In first row, it is −2; in second row, it is +2, and in third row, it is +2.

Letter series

1. Find the missing letters in the following series.

QAR, RAS, SAT, TAU, __________

(a) UAV (b) TAS (c) UAT (d) TAT

2. Find the missing letters in the following series.

FTG, GTF, HTI, ITH, __________

(a) JTK (b) HTL (c) HTK (d) JTI

3. Find the missing letters in the following series.

SCD, TEF, UGH, __________, WKL

(a) CMN (b) UJI (c) VIJ (d) IJT

4. Find the missing letters in the following series.

JAK, KBL, LCM, MDN, __________

(a) OEP (b) NEO (c) MEN (d) PFQ

1. (a): The third letter is repeated as the first letter of the next segment. The middle letter, A, remains static. The third letters are in alphabetical order beginning with R.

2. The middle letter T is fixed. First and third letters are swapping their position in second and fourth terms. The first letters are in alphabetical order: F, G, H, I, and J. The missing segment begins with a new letter J.

3. (c): For first letter of each triplet, the series is STUVW. The remaining two letters of the series goes like CD, EF, GH, IJ, KL.

4. (b): This is an alternating series in alphabetical order. The middle letters follow the order ABCDE. The first and third letters of the triplets are in alphabetical order beginning with J. The third letter is repeated as a first letter in each subsequent three-letter segment

Codes and Relationships

1. If ‘CERTAIN’ is coded as ‘XVIGZRM’ in a particular code language, then how ‘MUNDANE’ be coded in that language?

(a) NFMWZMX  (b) VMZWMFN (c) NFMWZMV (d) MIMXZMV

2. If ‘EDUCATION’ is coded as NOITACUDE, then ‘RED FORT’ will be coded as

(a) TROFDER  (b) FORTRED (c) TROFRED  (d) FORTDER

3. In a certain code, ‘MOTHER’ is written as ‘OMHURF’. How will ‘ANSWER’ be written in that code?

(a) NBWRRF  (b) MAVSPE (c) NBWTRD  (d) NAWTRF

1. (c) 2. (a) 3. (d)

Odd Word

1. Choose the word that is least like the other words in a group.

(a) Lion   (b) Cheetah (c) Bear   (d) Tiger

2. Choose the word that is least like the other words in a group.

(a) Sheet   (b) Cot (c) Spain   (d) Pillow

3. Find the odd word among the following:

(a) Kiwi   (b) Eagle (c) Penguin  (d) Ostrich

1. (c): All, except bear belong to the cat family.

2. (b): All others are parts of bed spread.

3. (b): All, except eagle are flightless birds

Odd Pair

1. Find the odd number.

(a) 13 (b) 53 (c) 63 (d) 23

2. Find the odd number.

(a) 51 (b) 144 (c) 64 (d) 121

3. Find the odd number.

(a) 15 (b) 21 (c) 24 (d) 28 (e) 30

4. Find the odd number.

(a) 324 (b) 244 (c) 136 (d) 352

1. (c): Each of the numbers except 63 is a prime number.

2. (a): Each of the number except 51 is a perfect square.

3. (d): Each of the numbers except 28 is divisible by 3.

4. (a): Sum of the digits in each other number is 10

Speed & Distance

1. A person crosses a 1200 m long street in 10 minutes. What is his speed in kmph?

(a) 7.2 kmph  (b) 8 kmph (c) 9 kmph  (d) None of the above

2. A person completes a journey of 48 km in 2 hours. How much time will he take to cover a distance of 252 km?

(a) 10 hours  (b) 11 hours (c) 10½ hours (d) None of the above

3. A train completed half a trip at 30 miles per hour and the other half at 60 miles per hour. If the whole trip was 20 miles, then how much time did the train take to complete the trip?

(a) 90 minutes  (b) 60 minutes (c) 45 minutes  (d) 30 minutes

4. A person performs half of his journey by train, onethird by bus and the rest 5 km by auto rickshaw. Find his total journey.

(a) 30   (b) 36 (c) 40   (d) 45

5. Excluding stoppages, the speed of a bus is 54 kmph, and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

(a) 9   (b) 10 (c) 12   (d) 20

1. (a): Speed = Distance/Time = 1,200 m/600 s = 2 m/s. Speed in kmph = 2 × 18/5 = 7.2 kmph

2. (c): Here, Speed = 48/2 = 24 kmph Time taken = 252/24 = 10½ hrs

3. (d): Average speed = 2 × 30 × 60/(30 + 60) = 2 × 30 × 60/90 = 40 mph Time taken by train to complete the trip = Distance/ Speed = 20/40 = ½ hr = 30 min.

4. (a): The distance covered by auto-rickshaw = 1 - (1/2 + 1/3) = 1/6 1/6 of total journey = 5 km Total journey = 6 × 5 = 30 km

5. (b): Due to stoppages, it covers 9 km less. Time taken to cover 9 km = 9/54 × 60 min = 10 min

Calendar

1. It was Wednesday on 15 August 2012. What should be the day on November 15, 2013?

(a) Wednesday (b) Thursday (c) Friday  (d) None of the above

2. If it is Sunday today, then what will be the day after 60 days?

(a) Sunday  (b) Thursday (c) Tuesday  (d) Friday

3. If 22 April 2013 is Monday, then what was the day of the week on April 22, 2012?

(a) Sunday  (b) Saturday (c) Tuesday  (d) Wednesday

4-The last day of a century cannot be

(a) Monday   (b) Wednesday (c) Tuesday   (d) Friday

5. 10 February, 2005 was Thursday. What was the day of the week on 8 February,

2004? (a) Tuesday  (b) Monday (c) Sunday  (d) Wednesday