CAT Questions

Q:

M, N and O can complete the work in 18, 36 and 54 days respectively. M started the work and worked for 8 days, then N and O joined him and they all worked together for some days. M left the job one day before completion of work. For how many days they all worked together?

A) 4 B) 5
C) 3 D) 6
 
Answer & Explanation Answer: B) 5

Explanation:

Let M, N and O worked together for x days.

From the given data,
M alone worked for 8 days
M,N,O worked for x days
N, O worked for 1 day

But given that
M alone can complete the work in 18 days
N alone can complete the work in 36 days
O alone can complete the work in 54 days

The total work can be the LCM of 18, 6, 54 = 108 units

M's 1 day work = 108/18 = 6 units
N's 1 day work = 108/36 = 3 units
O's 1 day work = 108/54 = 2 units

Now, the equation is
8 x 6 + 11x + 5 x 1 = 108
48 + 11x + 5 = 108
11x = 103 - 48
11x = 55
x = 5 days.

Hence, all M,N and O together worked for 5 days.

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Filed Under: Time and Work
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3 5328
Q:

Find the one which does not belong to that group ?

A) KMNL B) JLMK
C) PRSQ D) VWYZ
 
Answer & Explanation Answer: D) VWYZ

Explanation:

K+2 M+1 N-2 L,  P+2 R+1 S-2 Q,   V+1 W+2 Y+1 Z,   J+2 L+1 M-2 K  and  W+2 Y+1 Z-2 X.

Except VWYZ, all the other groups follow similar pattern.

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Filed Under: Odd Man Out
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4 5320
Q:

What has two hands but no arms or legs?

Answer

A Clock has 3 hands i.e, an Hour hand, a Minute hand and a Seconds hand.

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3 5318
Q:

The Teesta River is flowing through which two Indian states ?

A) Haryana & Punjab B) Sikkim & West Bengal
C) West Bengal & Manipur D) Assam & Uttarakhand
 
Answer & Explanation Answer: B) Sikkim & West Bengal

Explanation:

The Teesta River is a 309 km long river flowing through the Indian states of West Bengal and Sikkim, before going to Bay of Bengal through Bangladesh.

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Filed Under: Indian Geography
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30 5316
Q:

What is 70 of 50?

A) 35 B) 38
C) 42 D) 44
 
Answer & Explanation Answer: A) 35

Explanation:

what is 70 of 50 means 70% of 50

 

70 x 50100= 7 x 5= 35

 

Hence, 70 of 50 is 35.

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Filed Under: Percentage
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6 5315
Q:

Two persons K and L enter into a business by investing their sum in the ratio of 7 : 9. After 7 months, L leaves the business. After eleven month, if total profit is Rs. 2460, what is the profit share of L (in Rs)?

A) Rs, 1109 B) Rs. 1107
C) Rs. 1111 D) Rs. 1113
 
Answer & Explanation Answer: B) Rs. 1107

Explanation:

From the given data,

K's profit : L's profit = 7x x 11 : 9x x 7

= 11:9

Therefore, L's profit = 9 x 2460/20 =  Rs. 1107

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Filed Under: Partnership
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8 5314
Q:

Evaluate : 3.392-2.6123.39-2.69?

A) 3 B) 4
C) 6 D) 1
 
Answer & Explanation Answer: C) 6

Explanation:

 

It is in the form of a2-b2a-b = a+ba-ba-b = a+b

 

Here a = 3.39   b = 2.61 

 

 = 3.39 + 2.61 = 6.

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Filed Under: Decimal Fractions
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6 5314
Q:

Saraswat Bank, the largest lender in the co-operative space has appointed ______________ as its Managing Director (MD),  in 2017 ?

A) Smita Sandhane B) Shikha Pandey
C) Kavitha Chander D) Laxmi Sadhana
 
Answer & Explanation Answer: A) Smita Sandhane

Explanation:

Saraswat Bank, the largest lender in the co-operative space, has appointed Smita Sandhane as its Managing Director (MD). She is the first woman chief of India's largest urban co-operative bank.
'Service to the common man' is the Motto of Saraswat Bank.

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Filed Under: General Awareness
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3 5307