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Question : Find the LCM of $\frac{3}{2}, \frac{81}{16}$ and $\frac{9}{8}$
Option 1: $\frac{91}{2}$
Option 2: $\frac{81}{2}$
Option 3: $\frac{111}{2}$
Option 4: $\frac{101}{2}$
Correct Answer: $\frac{81}{2}$
Solution : Given fractions = $\frac{3}{2}, \frac{81}{16}$ and $\frac{9}{8}$ We know that, LCM of a fraction = $\frac{\text{LCM of the numerators}}{\text{HCF of the denominators}}$ LCM of 3, 81, 9 is 81. HCF of 2, 16 and 8 is 2. $\therefore$ LCM of $\frac{3}{2}, \frac{81}{16}$ and $\frac{9}{8}$ =
Question : Find the Simple Interest on INR 27,000 at $14 \frac{2}{3}$% per annum for 8 months.
Option 1: INR 2,600
Option 2: INR 2,630
Option 3: INR 2,610
Option 4: INR 2,640
Correct Answer: INR 2,640
Solution : Given: Principal = INR 27,000 Rate of interest = $14 \frac{2}{3}$% Time period = 8 months = $\frac{8}{12}=\frac{2}{3}$ year. Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ = $\frac{27000×\frac{44}{3}×\frac{2}{3}}{100}$ = 60 × 44 = INR 2,640. Hence, the correct answer is INR 2,640.
Question : Directions: In a certain code language, FALF is written as HCJD. How will OEMC be written in that language?
Option 1: QGAK
Option 2: QGKA
Option 3: QKAG
Option 4: QKGA
Correct Answer: QGKA
Solution : Given: FALF is written as HCJD.
Add 2 to the place value of the first two letters and subtract 2 from the place value of the last two letters of FALF to get the required code.
So, FALF is written as HCJD. Similarly, follow the
Question : Directions: In a row, Sanjay is in 11th position from the top and 13th from the bottom. How many people are there in the row?
Option 1: 24
Option 2: 23
Option 3: 25
Option 4: 26
Correct Answer: 23
Solution : Given: Sanjay is 11th from the top and 13th from the bottom in a row.
⇒ (Total number of people in the row) = (Position of Sanjay from the top) + (Position of Sanjay from the bottom) – 1 = 11 + 13 – 1
Question : A pump can fill a tank with water in 1 hour. Because of a leak, it took $1 \frac{1}{3}$ hours to fill the tank. In how many hours can the leak alone drain all the water in the tank when it is full?
Option 1: 5
Option 2: 1
Option 3: 2
Option 4: 4
Correct Answer: 4
Solution : Time taken by the pump to fill the tank = 1 hour Part of the tank filled by a pump in an hour = 1 Let $x$ be the time taken by the leak alone to drain the tank. Part of tank drained by the
Question : Directions: Which two numbers should be interchanged to make the given equation correct? 13 + 4 ÷ 16 × 5 – 22 = 11
Option 1: 13 and 22
Option 2: 16 and 22
Option 3: 13 and 16
Option 4: 4 and 16
Correct Answer: 4 and 16
Solution : Given: 13 + 4 ÷ 16 × 5 – 22 = 11
Let's check the options – First option: 13 and 22 On interchanging the numbers, we get – = 22 + 4 ÷ 16 × 5 – 13 = 22 + 1.25
Question : The least common multiple of 210, 336 and 504 is:
Option 1: 5040
Option 2: 3360
Option 3: 2100
Option 4: 4560
Correct Answer: 5040
Solution : The least common multiple of 210, 336 and 504 is: 210 = 2 × 3 × 5 × 7 336 = 2 × 2 × 2 × 2 × 3 × 7 504 = 2 × 2 × 2 × 3 × 3 × 7
Question : Match the animals in column A with the phylum they belong to in column B
Option 1: i-a, ii-c, iii-b, iv-d
Option 2: i-d, ii-a, iii-b, iv-c
Option 3: i-a, ii-b, iii-c, iv-d
Option 4: i-d, ii-c, iii-b, iv-a
Correct Answer: i-d, ii-c, iii-b, iv-a
Solution : The correct option is i-d, ii-c, iii-b, iv-a.
Jellyfish belong to the phylum Cnidaria (Coelenterate), Crayfish belong to the phylum Arthropoda, Whales belong to the phylum Chordata (Mammal), and Devil Fish or Giant Squid belong to the phylum Mollusca.
Question : Directions: A, B, C, D, and E are five books kept on top of each other. C is kept between A and B. D and E are kept together. E is kept above B. Which book is in the middle?
Option 1: B or E
Option 2: E
Option 3: C
Option 4: B
Correct Answer: B
Solution : Given: C is kept between A and B.
D and E are kept together. E is kept above B.
So, the order becomes →
Book B is in the middle. Hence, the fourth option
Question : The ratio of the radii of the two cones is 5 : 6 and their volumes are in the ratio of 8 : 9. The ratio of their heights is:
Option 1: 32 : 25
Option 2: 25 : 32
Option 3: 27 : 20
Option 4: 20 : 27
Correct Answer: 32 : 25
Solution : The volume of the cone = $\frac{1}{3}$πr2h, where r is the radius and h is the height. Let the radius of one cone be 5r and 6r. height is h1 and h2 ⇒ $\frac{1}{3}$(π × 25r × h1
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