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Q:

A bag contains 5 red smileys, 6 yellow smileys and 3 green smileys. If two smileys are picked at random, what is the probability that both are red or both are green in colour?

A) 7	B) 1/7
C) 3/7	D) 0

Answer & Explanation Answer: B) 1/7

Explanation:

Given total number of smileys = 5 + 6 + 3 = 14

Now, required probability =

$\frac{5 C_{2}}{14 C_{2}} + \frac{3 C_{2}}{14 C_{2}} = \frac{10}{91} + \frac{3}{91} = \frac{13}{91} = \frac{1}{7}$

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Filed Under: Probability
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Q:

A man buys a trouser in Rs.1250. By reduction of 20% in the price of trouser, he can purchase a t-shirt also in the same amount that was initially paid for the trouser. Find the price of the t-shirt?

A) Rs. 250	B) Rs. 125
C) Rs. 225	D) Rs. 200

Answer & Explanation Answer: A) Rs. 250

Explanation:

Initial amount spent on trouser by the man = Rs. 1250

Now, by the reduction of 20% in 1250, he can buy t-shirt too.

=> t-shirt cost = 20% of 1250 = 20 x 1250/100 = 250

Therefore, the price of the t-shirt = Rs. 250.

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Filed Under: Profit and Loss
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Q:

How much money did the owner lose?

logical_math_puzzle1539151721.jpg image

A) Rs. 40	B) Rs. 200
C) Rs. 60	D) Rs. 100

Answer & Explanation Answer: D) Rs. 100

Explanation:

The owner first lost Rs. 100 in cash, but after the thief bought Rs. 60 goods, he get back that Rs. 100 but he lost Rs. 60 value of goods and Rs. 40 in change.

So, a total of 60 + 40 = Rs. 100 the owner lose.

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Filed Under: Math Puzzles
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Q:

In a class of 80 students and 5 teachers, each student got shopping coupons that are 15% of the total number of students and each teacher got shopping coupons, that are 25% of the total number of students. How many shopping coupons were there?

A) 960	B) 1000
C) 1060	D) 100

Answer & Explanation Answer: C) 1060

Explanation:

Given total number of students = 80

Total teachers = 5

Number of coupons each student got = 15 x 80/100 = 12

Number of coupons each teacher got = 25 x 80/100 = 20

Therefore, total number of shopping coupons = 80 x 12 + 5 x 20 = 960 + 100 = 1060.

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Filed Under: Percentage
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Q:

$a^{2} + b^{2} + c^{2} - ab - bc - ca = 0, iff$

A) abc = -1	B) a = b = c
C) abc = 1	D) abc = 0

Answer & Explanation Answer: B) a = b = c

Explanation:

Here given formula is

$a^{2} + b^{2} + c^{2} - ab - bc - ca = 0$

and it is possible if and only if a = b = c.

From the trial and error method,

1) Let a = b = c = 1

Now substitute these values of a, b, c in the above formula.

We get 1 + 1 + 1 - 1 - 1 - 1 = 3 - 3 = 0

2) Now, let a = b = c = 4

Now substitute these values of a, b, c in the above formula.

We get 16 + 16 + 16 - 16 - 16 - 16 = 48 - 48 = 0.

Hence, it is possible that

$a^{2} + b^{2} + c^{2} - ab - bc - ca = 0 iff a = b = c.$

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Filed Under: Arithmetical Reasoning
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Q:

Three athletes can complete one round around a circular field in 16, 24 and 36 min respectively. They start running together at same instant then after how much time they will meet to each other for first time ?

A) 2 hrs 24 min	B) 2 hrs 44 min
C) 1 hrs 24 min	D) 1 hrs 24 min

Answer & Explanation Answer: A) 2 hrs 24 min

Explanation:

Given that three athletes can complete one round around a circular field in 16, 24 and 36 min respectively.

Now, required time after which they met for the first time = LCM of (16, 24 & 36) min

Now, LCM of 16, 24, 36 = 144 minutes = 2 hrs 24 min.

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Filed Under: Time and Work
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Q:

Which of the following is not a strong acid?

A) H2SO4	B) CH3COOH
C) HCl	D) HBr

Answer & Explanation Answer: B) CH3COOH

Explanation:

CH3COOH, chemically known as Acetic acid, is not a strong acid among the given acids like Sulphuric acid, Hydrochloric acid,...

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Filed Under: Chemistry
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Q:

What base does guanine pair with?

A) Adenine	B) Thymine
C) Uracil	D) Cytosine

Answer & Explanation Answer: D) Cytosine

Explanation:

In DNA, the chemicals are Adenine, thymine, guanine and cytosine. They always pair as basepairs like Adenine with Thymine and Guanine with Cytosine.

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Filed Under: Biology
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