Logical Ability Question and Solution

 Logical Ability Questions and Solutions

How to solve the logical questions and how to crack them

Question 1: Find the odd pair of letters from the given alternatives.

(a) Dollar
(b) Rupees
(c) Pound
(d) Gram

Ans: (d), as the gram is the unit of mass, the remaining are currency. 

Que 2. A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.
81, 64, 100, 125, 121, ?

(a) 169
(b) 216
(c)289
(d) 225

Ans: 9^2,

 8^2, 

10^2, 

5^3, 

11^2,

Next will be cube series

6^3 = 216

Q3: ∆ABC is inscribed in a circle with center O. If AB = 21 cm, BC = 20 cm, and AC = 29 cm, then what is the length of the circumradius of the triangle?

Solution:

29*29 = AB*AB + BC*BC = 20*20 +21*21

Hence, it is a right. -angled triangle

by a property of the right-angled triangle, if a line through the B is joined to the midpoint of the hypotenuse AC 

Then BD = AD = CD (this is the circumradius).

Hence, the circumradius is BD = 29/2 = 14.5 cm

Question 4: On a 2200 m long circular track, Sarita and Kavita drove their cycles from the same point but in opposite directions with the speeds of 20 km/hr and 16 km/hr, respectively. After how much time will they meet again for the first time?

Solution:

 Convert both the speeds into meters/sec

Sarita's speed = 20*5/18 = 100/18 = 50/9 m/s

Kavita's speed = 16 km/hr = 16*5/18 = 40/9 m/s

Let after time t, they will meet each other; then the distance covered by both is the circumference of the path

50t/9 + 40t/9 = 2200

90t/9 = 2200

t = 2200*9/90 = 220 sec

divide 220 by 60; 3 is the quotient and 40 is the remainder, so 3m 40s is the answer

Question 5: In a triangle HJK, HJ = HK. G is a point on HJ such that HG = GK = JK. What is the degree measure of two-thirds of (∠HGK + ∠GKJ)?

Question 6: Find the simple interest (in ₹) on ₹2000 at 6.5% per annum rate of interest for the period from 14 February 2023 to 28 April 2023

Solution: total number of days = 14 +31  +28 = 73 days

                 number of year = 73/365

                  interest = 2000*73/365*6.5/100 = 26 Rs

Question 7: Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements: 

All pages are diaries. 

Some diaries are books. 

All books are notebooks

Conclusions: 

I. No page is a notebook. 

II. All pages are notebooks. 

III. All diaries being notebooks is a possibility.

 a. Both conclusion I and II follow 

b. Only conclusions I and III follow 

c. Only conclusion III follows 

d. Only conclusion II follows

According to question, all the sectors are divided in circles- 

all pages are diary, so page will come inside the diary, 

some diaries are book - some part of the diares will go inside the book, 

all books are note books - books will go inside the notebook circle

Hence, it looks only c is correct. 

Question 8: The position of how many letters will remain unchanged, if all the letters in the word BINDER are arranged in English alphabetical order?

a. None 

b. One

 c. Two

d. three

After rearrangerment only two remains unchanged.

Question 9: 

. In a certain code language: 

‘A + B’ means ‘A is the mother of B’; 

‘A − B’ means ‘A is the brother of B’; 

‘A × B’ means ‘A is the wife of B’; 

‘A ÷ B’ means ‘A is the father of B’. 

Based on the above, how is 4 related to 2 

if ‘4 + 3 ÷ 2 ÷ 1 − 5’?

 a. Father’s father 

b. Mother’s mother

 c. Mother’s father 

d. Father’s mother

Fathers mother