Common Admission Test (CAT) Questions and Answers with Explanation

Q:

Three maths classes: A, B and C take an algebra test. The average score of class A is 83. The average score of class B is 76. The average score of class C is 85. The average score of class A and B is 79 and average score of class B and C is 81. What is the average score of classes A, B, C ?

A) 81	B) 78
C) 80.5	D) 81.5

Answer & Explanation Answer: D) 81.5

Explanation:

Let the number of students in classes A, B and C be P, Q and R respectively.
Then, total score of A = 83P, total score of B = 76Q, total score of C = 85R.
Also given that,
(83P + 76Q) / (P + Q) = 79
=>4P = 3Q.
(76Q + 85R)/(Q + R) = 81
=>4R = 5Q,
=>Q = 4P/3 and R = 5P/3
Therefore, average score of A, B, C = ( 83P + 76Q + 85R ) / (P + Q + R) = 978/12 = 81.5

Report Error

View Answer Report Error Discuss

Filed Under: Average
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO

12 10677

Q:

A sum is divided among K, L and M in such a way that for each rupee K gets, L gets 45 paisa and M gets 30 paisa. If the share of L is Rs. 27, what is the total amount ?

A) Rs. 159	B) Rs. 96
C) Rs. 147	D) Rs. 105

Answer & Explanation Answer: D) Rs. 105

Explanation:

K : L : M = 100 : 45 : 30
= 20 : 9 : 6

Given L share is 27

=> 9 ------ 27
35 ------ ?

=> 105

Report Error

View Answer Report Error Discuss

Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

11 10675

Q:

Which insect sits on uncovered food?

A) bees	B) flies
C) Both A & B	D) None of the above

Answer & Explanation Answer: C) Both A & B

Explanation:

Both flies and bees can sit on the uncovered food and contaminate the food.

Report Error

View Answer Report Error Discuss

Filed Under: General Science
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

16 10674

Q:

An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq. m ?

A) Rs. 4082.40	B) Rs. 1024.21
C) Rs. 2810.6	D) Rs. 3214

Answer & Explanation Answer: A) Rs. 4082.40

Explanation:

Length of the first carpet = (1.44)(6) = 8.64 cm

Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)

= 51.84(1.4)(5/4) sq m = (12.96)(7) sq m

Cost of the second carpet = (45)(12.96 x 7) = 315 (13 - 0.04) = 4095 - 12.6 = Rs. 4082.40

Report Error

View Answer Report Error Discuss

Filed Under: Area
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

11 10672

Q:

Arun and Varun started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, Akhil joined them with Rs. 20,000. What will be Varun's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business ?

A) Rs. 7500	B) Rs. 4520
C) Rs. 8750	D) Rs. 6350

Answer & Explanation Answer: A) Rs. 7500

Explanation:

Arun : Varun : Akhil = (20000 x 24) : (15000 x 24) : (20000 x 18) = 4:3:3

B's share = 25000 x 3/10 = Rs. 7500.

Report Error

View Answer Report Error Discuss

Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

5 10657

Q:

Two trains of equal length are running on parallel lines in the same direction at 36 km/hr and 26 km/hr. The faster train passes the slower train in 36 sec. The length of each train is ?

A) 28 mts	B) 54 mts
C) 24 mts	D) 50 mts

Answer & Explanation Answer: D) 50 mts

Explanation:

Let the length of each train be x mts.

Then, distance covered = 2x mts.

Relative speed = 36 - 26 = 10 km/hr.

= 10 x 5/18 = 25/9 m/sec.

2x/36 = 25/9 => x = 50 mts.

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

8 10652

Q:

H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is :

A) 360	B) 180
C) 90	D) 120

Answer & Explanation Answer: B) 180

Explanation:

4 x 27 x 3125 = $2^{2} \times 3^{3} \times 5^{5}$ ;

8 x 9 x 25 x 7 = $2^{3} \times 3^{2} \times 5^{2} \times 7$

16 x 81 x 5 x 11 x 49 = $2^{4} \times 3^{4} \times 5 \times 11 \times 7^{2}$

H.C.F = $2^{2} \times 3^{2} \times 5$ = 180.

Report Error

View Answer Report Error Discuss

Filed Under: HCF and LCM
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

23 10638

Q:

Which is the smallest district of India by size ?

A) Mahe	B) Zila
C) Kaushambi	D) None

Answer & Explanation Answer: A) Mahe

Explanation:

Mahe is the smallest district of India in size which is in Puducherry.

Report Error

View Answer Report Error Discuss

Filed Under: Indian Geography
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

24 10632

CAT Questions

Quick Links